Infinite height tetration leading to wrong fixed point for a range of value.

[Naruyoko]

Infinite height tetration leading to wrong fixed point for a range of value.

[Naruyoko]

Note: 60.35084336706522 is a repulsive fixed point. In Double, it will reach Infinity after 29 iterations(meaning it is slightly too bigger than it actually is).

[Patashu]

Yeah, the implementation of Lambert W I copied has some other funky precision issues and it's non-obvious how to fix it (or its consequences).

[Naruyoko]

It is calculating correctly(technically), but on the wrong branch. It is possible to see here that the code is calculating W_-1 branch, however for our purposes it is supposed to be W₀ instead.

[Naruyoko]

Would this work?

[Naruyoko]

Or this?

[Patashu]

Thanks, these look like useful resources. I don't think I have enough focus to think about math, presently; if you happen to beat me to a better working implementation, feel free to make a pull request. Otherwise I may get to it in the future.

[Naruyoko]

Ok, I will make a PR when I get to it because I'm going to copy inspire the function to OmegaNum.js.

[Patashu]

Cool. Thank you for your continuing large numbers work!

[Naruyoko]

Tested x^^Infinity for 0.06<=x<=1.44.

Tested using this code: for(var i=0.06;i<1.45;i+=0.01){var j=Decimal.tetrate(i,1e4);var k=Decimal.tetrate(i,1/0);console.log([i.toFixed(2),j.toPrecision(6),k.toPrecision(6),(k-j).toPrecision(6),((k-j)/j).toPrecision(6)]+"");}

The new function for f_lambertw:

var f_lambertw = function(z, tol = 1e-10) {
  var w;
  var wn;
  
  if (!Number.isFinite(z)) { return z; }
  if (z === 0)
  {
    return z;
  }
  if (z === 1)
  {
    return OMEGA;
  }
  
  if (z < 10)
  {
    w = 0;
  }
  else
  {
    w = Math.log(z)-Math.log(Math.log(z));
  }
  
  for (var i = 0; i < 100; ++i)
  {
    wn = (z * Math.exp(-w) + w * w)/(w + 1);
    if (Math.abs(wn - w) < tol*Math.abs(wn))
    {
      return wn;
    }
    else
    {
      w = wn;
    }
   }
  
  throw Error("Iteration failed to converge: " + z);
  //return Number.NaN;
}

Each line of the output is in the form: <x>,<Decimal.tetrate(x.1e4)>,<Decimal.tetrate(x,Infinity>,<Absolute error>,<Relative error>.

Old function:

"0.06,0.545702,0.361580,-0.184122,-0.337405"
"0.07,0.417205,0.371928,-0.0452762,-0.108523"
"0.08,0.386540,0.381515,-0.00502454,-0.0129988"
"0.09,0.391008,0.390505,-0.000502819,-0.00128596"
"0.10,0.399066,0.399013,-0.0000527557,-0.000132198"
"0.11,0.407131,0.407125,-0.00000592284,-0.0000145478"
"0.12,0.414905,0.414905,-7.10439e-7,-0.00000171229"
"0.13,0.422403,0.422403,-9.04686e-8,-2.14176e-7"
"0.14,0.429660,0.429660,-1.21440e-8,-2.82642e-8"
"0.15,0.436709,0.436709,-1.70690e-9,-3.90856e-9"
"0.16,0.443575,0.443575,-2.49700e-10,-5.62925e-10"
"0.17,0.450282,0.450282,-3.78160e-11,-8.39829e-11"
"0.18,0.456849,0.456849,-5.90122e-12,-1.29172e-11"
"0.19,0.463291,0.463291,-9.45022e-13,-2.03980e-12"
"0.20,0.469622,0.469622,-1.54599e-13,-3.29198e-13"
"0.21,0.475855,0.475855,-2.57572e-14,-5.41282e-14"
"0.22,0.482000,0.482000,-4.32987e-15,-8.98312e-15"
"0.23,0.488068,0.488068,-7.77156e-16,-1.59231e-15"
"0.24,0.494065,0.494065,-1.66533e-16,-3.37068e-16"
"0.25,0.500000,0.500000,-1.11022e-16,-2.22045e-16"
"0.26,0.505879,0.505879,0.00000,0.00000"
"0.27,0.511709,0.511709,0.00000,0.00000"
"0.28,0.517496,0.517496,-1.11022e-16,-2.14538e-16"
"0.29,0.523243,0.523243,0.00000,0.00000"
"0.30,0.528956,0.528956,0.00000,0.00000"
"0.31,0.534640,0.534640,0.00000,0.00000"
"0.32,0.540298,0.540298,-1.11022e-16,-2.05483e-16"
"0.33,0.545934,0.545934,-1.11022e-16,-2.03362e-16"
"0.34,0.551552,0.551552,0.00000,0.00000"
"0.35,0.557154,0.557154,0.00000,0.00000"
"0.36,0.562745,0.562745,0.00000,0.00000"
"0.37,0.568326,0.568326,-1.11022e-16,-1.95350e-16"
"0.38,0.573901,0.573901,0.00000,0.00000"
"0.39,0.579473,0.579473,0.00000,0.00000"
"0.40,0.585043,0.585043,0.00000,0.00000"
"0.41,0.590615,0.590615,0.00000,0.00000"
"0.42,0.596190,0.596190,0.00000,0.00000"
"0.43,0.601772,0.601772,1.11022e-16,1.84492e-16"
"0.44,0.607361,0.607361,0.00000,0.00000"
"0.45,0.612961,0.612961,0.00000,0.00000"
"0.46,0.618573,0.618573,-1.11022e-16,-1.79481e-16"
"0.47,0.624200,0.624200,0.00000,0.00000"
"0.48,0.629843,0.629843,-1.11022e-16,-1.76270e-16"
"0.49,0.635504,0.635504,-1.11022e-16,-1.74700e-16"
"0.50,0.641186,0.641186,-1.11022e-16,-1.73152e-16"
"0.51,0.646890,0.646890,-1.11022e-16,-1.71625e-16"
"0.52,0.652618,0.652618,0.00000,0.00000"
"0.53,0.658372,0.658372,-1.11022e-16,-1.68632e-16"
"0.54,0.664153,0.664153,-1.11022e-16,-1.67164e-16"
"0.55,0.669965,0.669965,-1.11022e-16,-1.65714e-16"
"0.56,0.675808,0.675808,1.11022e-16,1.64281e-16"
"0.57,0.681685,0.681685,-1.11022e-16,-1.62865e-16"
"0.58,0.687597,0.687597,-1.11022e-16,-1.61464e-16"
"0.59,0.693546,0.693546,0.00000,0.00000"
"0.60,0.699535,0.699535,0.00000,0.00000"
"0.61,0.705564,0.705564,-1.11022e-16,-1.57353e-16"
"0.62,0.711637,0.711637,0.00000,0.00000"
"0.63,0.717754,0.717754,-1.11022e-16,-1.54680e-16"
"0.64,0.723919,0.723919,1.11022e-16,1.53363e-16"
"0.65,0.730133,0.730133,0.00000,0.00000"
"0.66,0.736398,0.736398,1.11022e-16,1.50764e-16"
"0.67,0.742716,0.742716,0.00000,0.00000"
"0.68,0.749090,0.749090,0.00000,0.00000"
"0.69,0.755522,0.755522,-1.11022e-16,-1.46948e-16"
"0.70,0.762013,0.762013,0.00000,0.00000"
"0.71,0.768567,0.768567,1.11022e-16,1.44454e-16"
"0.72,0.775186,0.775186,0.00000,0.00000"
"0.73,0.781872,0.781872,0.00000,0.00000"
"0.74,0.788628,0.788628,0.00000,0.00000"
"0.75,0.795457,0.795457,0.00000,0.00000"
"0.76,0.802360,0.802360,-1.11022e-16,-1.38370e-16"
"0.77,0.809342,0.809342,0.00000,0.00000"
"0.78,0.816405,0.816405,0.00000,0.00000"
"0.79,0.823551,0.823551,0.00000,0.00000"
"0.80,0.830785,0.830785,-1.11022e-16,-1.33635e-16"
"0.81,0.838109,0.838109,1.11022e-16,1.32468e-16"
"0.82,0.845527,0.845527,0.00000,0.00000"
"0.83,0.853042,0.853042,0.00000,0.00000"
"0.84,0.860658,0.860658,-1.11022e-16,-1.28997e-16"
"0.85,0.868378,0.868378,0.00000,0.00000"
"0.86,0.876208,0.876208,-1.11022e-16,-1.26708e-16"
"0.87,0.884150,0.884150,0.00000,0.00000"
"0.88,0.892210,0.892210,0.00000,0.00000"
"0.89,0.900391,0.900391,0.00000,0.00000"
"0.90,0.908699,0.908699,1.11022e-16,1.22177e-16"
"0.91,0.917139,0.917139,0.00000,0.00000"
"0.92,0.925716,0.925716,0.00000,0.00000"
"0.93,0.934436,0.934436,-1.11022e-16,-1.18812e-16"
"0.94,0.943303,0.943303,0.00000,0.00000"
"0.95,0.952326,0.952326,1.11022e-16,1.16580e-16"
"0.96,0.961510,0.961510,1.11022e-16,1.15467e-16"
"0.97,0.970861,0.970861,0.00000,0.00000"
"0.98,0.980388,0.980388,0.00000,0.00000"
"0.99,0.990099,0.990099,-1.11022e-16,-1.12133e-16"
"1.00,1.00000,1.00000,0.00000,0.00000"
"1.01,1.01010,1.01010,0.00000,0.00000"
"1.02,1.02041,1.02041,0.00000,0.00000"
"1.03,1.03094,1.03094,0.00000,0.00000"
"1.04,1.04170,1.04170,-2.22045e-16,-2.13156e-16"
"1.05,1.05270,1.05270,0.00000,0.00000"
"1.06,1.06396,1.06396,0.00000,0.00000"
"1.07,1.07548,1.07548,0.00000,0.00000"
"1.08,1.08728,51.1187,50.0315,46.0153"
"1.09,1.09937,43.8797,42.7803,38.9133"
"1.10,1.11178,38.2287,37.1170,33.3851"
"1.11,1.12452,33.7076,32.5831,28.9751"
"1.12,1.13760,30.0167,28.8791,25.3859"
"1.13,1.15106,26.9526,25.8015,22.4155"
"1.14,1.16490,24.3722,23.2073,19.9221"
"1.15,1.17916,22.1723,20.9931,17.8035"
"1.16,1.19386,20.2767,19.0829,15.9842"
"1.17,1.20904,18.6280,17.4190,14.4073"
"1.18,1.22471,17.1819,15.9572,13.0293"
"1.19,1.24093,15.9042,14.6632,11.8163"
"1.20,1.25773,14.7675,13.5097,10.7413"
"1.21,1.27516,13.7501,12.4749,9.78302"
"1.22,1.29326,12.8344,11.5411,8.92406"
"1.23,1.31209,12.0060,10.6939,8.15025"
"1.24,1.33171,11.2529,9.92118,7.44993"
"1.25,1.35220,10.5653,9.21307,6.81337"
"1.26,1.37364,9.93476,8.56112,6.23243"
"1.27,1.39612,9.35430,7.95818,5.70022"
"1.28,1.41975,8.81787,7.39812,5.21087"
"1.29,1.44465,8.32029,6.87564,4.75936"
"1.30,1.47099,7.85707,6.38608,4.34135"
"1.31,1.49893,7.42427,5.92534,3.95304"
"1.32,1.52869,7.01843,5.48974,3.59113"
"1.33,1.56054,6.63646,5.07592,3.25266"
"1.34,1.59480,6.27554,4.68073,2.93499"
"1.35,1.63189,5.93307,4.30119,2.63571"
"1.36,1.67232,5.60661,3.93428,2.35259"
"1.37,1.71682,5.29373,3.57691,2.08345"
"1.38,1.76634,4.99197,3.22563,1.82617"
"1.39,1.82226,4.69858,2.87632,1.57844"
"1.40,1.88666,4.41029,2.52363,1.33762"
"1.41,1.96296,4.12261,2.15966,1.10021"
"1.42,2.05739,3.82831,1.77092,0.860763"
"1.43,2.18403,3.51245,1.32842,0.608244"
"1.44,2.39381,3.12331,0.729495,0.304742"

New function:

"0.06,0.545702,0.361580,-0.184122,-0.337405"
"0.07,0.417205,0.371928,-0.0452762,-0.108523"
"0.08,0.386540,0.381515,-0.00502454,-0.0129988"
"0.09,0.391008,0.390505,-0.000502819,-0.00128596"
"0.10,0.399066,0.399013,-0.0000527557,-0.000132198"
"0.11,0.407131,0.407125,-0.00000592284,-0.0000145478"
"0.12,0.414905,0.414905,-7.10439e-7,-0.00000171229"
"0.13,0.422403,0.422403,-9.04686e-8,-2.14176e-7"
"0.14,0.429660,0.429660,-1.21440e-8,-2.82642e-8"
"0.15,0.436709,0.436709,-1.70690e-9,-3.90856e-9"
"0.16,0.443575,0.443575,-2.49700e-10,-5.62925e-10"
"0.17,0.450282,0.450282,-3.78161e-11,-8.39832e-11"
"0.18,0.456849,0.456849,-5.90117e-12,-1.29171e-11"
"0.19,0.463291,0.463291,-9.45022e-13,-2.03980e-12"
"0.20,0.469622,0.469622,-1.54654e-13,-3.29316e-13"
"0.21,0.475855,0.475855,-2.57017e-14,-5.40115e-14"
"0.22,0.482000,0.482000,-4.44089e-15,-9.21346e-15"
"0.23,0.488068,0.488068,-7.77156e-16,-1.59231e-15"
"0.24,0.494065,0.494065,-1.66533e-16,-3.37068e-16"
"0.25,0.500000,0.500000,-1.11022e-16,-2.22045e-16"
"0.26,0.505879,0.505879,1.11022e-16,2.19464e-16"
"0.27,0.511709,0.511709,-1.11022e-16,-2.16964e-16"
"0.28,0.517496,0.517496,0.00000,0.00000"
"0.29,0.523243,0.523243,0.00000,0.00000"
"0.30,0.528956,0.528956,0.00000,0.00000"
"0.31,0.534640,0.534640,0.00000,0.00000"
"0.32,0.540298,0.540298,-1.11022e-16,-2.05483e-16"
"0.33,0.545934,0.545934,-1.11022e-16,-2.03362e-16"
"0.34,0.551552,0.551552,0.00000,0.00000"
"0.35,0.557154,0.557154,-1.11022e-16,-1.99267e-16"
"0.36,0.562745,0.562745,-1.11022e-16,-1.97287e-16"
"0.37,0.568326,0.568326,-2.22045e-16,-3.90699e-16"
"0.38,0.573901,0.573901,0.00000,0.00000"
"0.39,0.579473,0.579473,0.00000,0.00000"
"0.40,0.585043,0.585043,-1.11022e-16,-1.89768e-16"
"0.41,0.590615,0.590615,-1.11022e-16,-1.87977e-16"
"0.42,0.596190,0.596190,-1.11022e-16,-1.86220e-16"
"0.43,0.601772,0.601772,1.11022e-16,1.84492e-16"
"0.44,0.607361,0.607361,0.00000,0.00000"
"0.45,0.612961,0.612961,0.00000,0.00000"
"0.46,0.618573,0.618573,0.00000,0.00000"
"0.47,0.624200,0.624200,1.11022e-16,1.77863e-16"
"0.48,0.629843,0.629843,-1.11022e-16,-1.76270e-16"
"0.49,0.635504,0.635504,0.00000,0.00000"
"0.50,0.641186,0.641186,-1.11022e-16,-1.73152e-16"
"0.51,0.646890,0.646890,-1.11022e-16,-1.71625e-16"
"0.52,0.652618,0.652618,1.11022e-16,1.70118e-16"
"0.53,0.658372,0.658372,-1.11022e-16,-1.68632e-16"
"0.54,0.664153,0.664153,0.00000,0.00000"
"0.55,0.669965,0.669965,0.00000,0.00000"
"0.56,0.675808,0.675808,1.11022e-16,1.64281e-16"
"0.57,0.681685,0.681685,0.00000,0.00000"
"0.58,0.687597,0.687597,-1.11022e-16,-1.61464e-16"
"0.59,0.693546,0.693546,0.00000,0.00000"
"0.60,0.699535,0.699535,0.00000,0.00000"
"0.61,0.705564,0.705564,0.00000,0.00000"
"0.62,0.711637,0.711637,0.00000,0.00000"
"0.63,0.717754,0.717754,-1.11022e-16,-1.54680e-16"
"0.64,0.723919,0.723919,0.00000,0.00000"
"0.65,0.730133,0.730133,0.00000,0.00000"
"0.66,0.736398,0.736398,1.11022e-16,1.50764e-16"
"0.67,0.742716,0.742716,-2.22045e-16,-2.98963e-16"
"0.68,0.749090,0.749090,0.00000,0.00000"
"0.69,0.755522,0.755522,1.11022e-16,1.46948e-16"
"0.70,0.762013,0.762013,0.00000,0.00000"
"0.71,0.768567,0.768567,2.22045e-16,2.88907e-16"
"0.72,0.775186,0.775186,0.00000,0.00000"
"0.73,0.781872,0.781872,0.00000,0.00000"
"0.74,0.788628,0.788628,-1.11022e-16,-1.40779e-16"
"0.75,0.795457,0.795457,-1.11022e-16,-1.39570e-16"
"0.76,0.802360,0.802360,-1.11022e-16,-1.38370e-16"
"0.77,0.809342,0.809342,-1.11022e-16,-1.37176e-16"
"0.78,0.816405,0.816405,0.00000,0.00000"
"0.79,0.823551,0.823551,0.00000,0.00000"
"0.80,0.830785,0.830785,0.00000,0.00000"
"0.81,0.838109,0.838109,-1.11022e-16,-1.32468e-16"
"0.82,0.845527,0.845527,-1.11022e-16,-1.31305e-16"
"0.83,0.853042,0.853042,-2.22045e-16,-2.60297e-16"
"0.84,0.860658,0.860658,-1.11022e-16,-1.28997e-16"
"0.85,0.868378,0.868378,1.11022e-16,1.27850e-16"
"0.86,0.876208,0.876208,-3.33067e-16,-3.80123e-16"
"0.87,0.884150,0.884150,1.11022e-16,1.25570e-16"
"0.88,0.892210,0.892210,-1.11022e-16,-1.24435e-16"
"0.89,0.900391,0.900391,0.00000,0.00000"
"0.90,0.908699,0.908699,1.11022e-16,1.22177e-16"
"0.91,0.917139,0.917139,0.00000,0.00000"
"0.92,0.925716,0.925716,1.11022e-16,1.19931e-16"
"0.93,0.934436,0.934436,-1.11022e-16,-1.18812e-16"
"0.94,0.943303,0.943303,0.00000,0.00000"
"0.95,0.952326,0.952326,0.00000,0.00000"
"0.96,0.961510,0.961510,1.11022e-16,1.15467e-16"
"0.97,0.970861,0.970861,0.00000,0.00000"
"0.98,0.980388,0.980388,0.00000,0.00000"
"0.99,0.990099,0.990099,0.00000,0.00000"
"1.00,1.00000,1.00000,0.00000,0.00000"
"1.01,1.01010,1.01010,0.00000,0.00000"
"1.02,1.02041,1.02041,0.00000,0.00000"
"1.03,1.03094,1.03094,0.00000,0.00000"
"1.04,1.04170,1.04170,2.22045e-16,2.13156e-16"
"1.05,1.05270,1.05270,0.00000,0.00000"
"1.06,1.06396,1.06396,0.00000,0.00000"
"1.07,1.07548,1.07548,0.00000,0.00000"
"1.08,1.08728,1.08728,0.00000,0.00000"
"1.09,1.09937,1.09937,-2.22045e-16,-2.01974e-16"
"1.10,1.11178,1.11178,-2.22045e-16,-1.99720e-16"
"1.11,1.12452,1.12452,0.00000,0.00000"
"1.12,1.13760,1.13760,2.22045e-16,1.95186e-16"
"1.13,1.15106,1.15106,0.00000,0.00000"
"1.14,1.16490,1.16490,0.00000,0.00000"
"1.15,1.17916,1.17916,0.00000,0.00000"
"1.16,1.19386,1.19386,2.22045e-16,1.85989e-16"
"1.17,1.20904,1.20904,0.00000,0.00000"
"1.18,1.22471,1.22471,2.22045e-16,1.81303e-16"
"1.19,1.24093,1.24093,0.00000,0.00000"
"1.20,1.25773,1.25773,0.00000,0.00000"
"1.21,1.27516,1.27516,2.22045e-16,1.74131e-16"
"1.22,1.29326,1.29326,-2.22045e-16,-1.71694e-16"
"1.23,1.31209,1.31209,-2.22045e-16,-1.69230e-16"
"1.24,1.33171,1.33171,0.00000,0.00000"
"1.25,1.35220,1.35220,0.00000,0.00000"
"1.26,1.37364,1.37364,6.66134e-16,4.84940e-16"
"1.27,1.39612,1.39612,4.44089e-16,3.18088e-16"
"1.28,1.41975,1.41975,4.44089e-16,3.12795e-16"
"1.29,1.44465,1.44465,-4.44089e-16,-3.07402e-16"
"1.30,1.47099,1.47099,2.22045e-16,1.50949e-16"
"1.31,1.49893,1.49893,2.22045e-16,1.48135e-16"
"1.32,1.52869,1.52869,-2.22045e-16,-1.45251e-16"
"1.33,1.56054,1.56054,-2.22045e-16,-1.42287e-16"
"1.34,1.59480,1.59480,4.44089e-16,2.78460e-16"
"1.35,1.63189,1.63189,2.22045e-16,1.36066e-16"
"1.36,1.67232,1.67232,-4.44089e-16,-2.65552e-16"
"1.37,1.71682,1.71682,6.66134e-16,3.88005e-16"
"1.38,1.76634,1.76634,2.22045e-16,1.25709e-16"
"1.39,1.82226,1.82226,-4.44089e-16,-2.43703e-16"
"1.40,1.88666,1.88666,0.00000,0.00000"
"1.41,1.96296,1.96296,8.88178e-16,4.52470e-16"
"1.42,2.05739,2.05739,3.10862e-15,1.51096e-15"
"1.43,2.18403,2.18403,6.80034e-12,3.11367e-12"
"1.44,2.39381,2.39381,4.32548e-7,1.80694e-7"

What do you think?

[Naruyoko]

For 1.44<=x<e^(1/e) in increments of 0.0001.

Old:

"1.4400,2.393811,3.123307,0.729495,0.304742"
"1.4401,2.396962,3.118409,0.721447,0.300984"
"1.4402,2.400155,3.113472,0.713317,0.297196"
"1.4403,2.403390,3.108492,0.705102,0.293378"
"1.4404,2.406670,3.103468,0.696799,0.289528"
"1.4405,2.409995,3.098400,0.688404,0.285645"
"1.4406,2.413369,3.093284,0.679915,0.281729"
"1.4407,2.416792,3.088120,0.671328,0.277776"
"1.4408,2.420267,3.082905,0.662639,0.273787"
"1.4409,2.423795,3.077638,0.653843,0.269760"
"1.4410,2.427378,3.072316,0.644938,0.265693"
"1.4411,2.431020,3.066937,0.635917,0.261584"
"1.4412,2.434722,3.061498,0.626776,0.257432"
"1.4413,2.438487,3.055997,0.617510,0.253235"
"1.4414,2.442318,3.050430,0.608112,0.248990"
"1.4415,2.446218,3.044796,0.598578,0.244695"
"1.4416,2.450191,3.039090,0.588899,0.240348"
"1.4417,2.454239,3.033309,0.579070,0.235947"
"1.4418,2.458367,3.027448,0.569081,0.231487"
"1.4419,2.462579,3.021504,0.558925,0.226967"
"1.4420,2.466880,3.015473,0.548592,0.222383"
"1.4421,2.471275,3.009348,0.538073,0.217731"
"1.4422,2.475768,3.003124,0.527356,0.213007"
"1.4423,2.480367,2.996795,0.516428,0.208206"
"1.4424,2.485078,2.990354,0.505277,0.203324"
"1.4425,2.489908,2.983794,0.493887,0.198355"
"1.4426,2.494865,2.977106,0.482241,0.193294"
"1.4427,2.499959,2.970281,0.470322,0.188132"
"1.4428,2.505200,2.963307,0.458107,0.182862"
"1.4429,2.510599,2.956172,0.445573,0.177477"
"1.4430,2.516170,2.948863,0.432693,0.171965"
"1.4431,2.521927,2.941364,0.419437,0.166316"
"1.4432,2.527888,2.933655,0.405767,0.160516"
"1.4433,2.534072,2.925714,0.391642,0.154550"
"1.4434,2.540502,2.917516,0.377013,0.148401"
"1.4435,2.547206,2.909028,0.361823,0.142047"
"1.4436,2.554213,2.900213,0.346000,0.135462"
"1.4437,2.561563,2.891023,0.329460,0.128617"
"1.4438,2.569300,2.881397,0.312097,0.121472"
"1.4439,2.577479,2.871258,0.293779,0.113979"
"1.4440,2.586169,2.860499,0.274331,0.106076"
"1.4441,2.595453,2.848977,0.253523,0.097680"
"1.4442,2.605441,2.836475,0.231034,0.088674"
"1.4443,2.616271,2.822657,0.206386,0.078885"
"1.4444,2.628126,2.806931,0.178805,0.068035"
"1.4445,2.641254,2.788064,0.146810,0.055583"
"1.4446,2.655998,2.762307,0.106310,0.040026"

New:

"1.4400,2.393811,2.393812,0.000000,0.000000"
"1.4401,2.396962,2.396963,0.000001,0.000000"
"1.4402,2.400155,2.400155,0.000001,0.000000"
"1.4403,2.403390,2.403391,0.000001,0.000000"
"1.4404,2.406670,2.406670,0.000001,0.000000"
"1.4405,2.409995,2.409996,0.000001,0.000000"
"1.4406,2.413369,2.413370,0.000001,0.000000"
"1.4407,2.416792,2.416793,0.000001,0.000001"
"1.4408,2.420267,2.420268,0.000001,0.000001"
"1.4409,2.423795,2.423796,0.000002,0.000001"
"1.4410,2.427378,2.427380,0.000002,0.000001"
"1.4411,2.431020,2.431022,0.000002,0.000001"
"1.4412,2.434722,2.434725,0.000003,0.000001"
"1.4413,2.438487,2.438490,0.000003,0.000001"
"1.4414,2.442318,2.442322,0.000004,0.000002"
"1.4415,2.446218,2.446223,0.000005,0.000002"
"1.4416,2.450191,2.450196,0.000006,0.000002"
"1.4417,2.454239,2.454246,0.000007,0.000003"
"1.4418,2.458367,2.458375,0.000008,0.000003"
"1.4419,2.462579,2.462589,0.000010,0.000004"
"1.4420,2.466880,2.466892,0.000011,0.000005"
"1.4421,2.471275,2.471288,0.000014,0.000006"
"1.4422,2.475768,2.475785,0.000017,0.000007"
"1.4423,2.480367,2.480387,0.000020,0.000008"
"1.4424,2.485078,2.485102,0.000025,0.000010"
"1.4425,2.489908,2.489938,0.000030,0.000012"
"1.4426,2.494865,2.494902,0.000037,0.000015"
"1.4427,2.499959,2.500005,0.000046,0.000018"
"1.4428,2.505200,2.505257,0.000057,0.000023"
"1.4429,2.510599,2.510670,0.000071,0.000028"
"1.4430,2.516170,2.516259,0.000089,0.000035"
"1.4431,2.521927,2.522039,0.000112,0.000044"
"1.4432,2.527888,2.528030,0.000142,0.000056"
"1.4433,2.534072,2.534253,0.000181,0.000071"
"1.4434,2.540502,2.540735,0.000232,0.000092"
"1.4435,2.547206,2.547507,0.000301,0.000118"
"1.4436,2.554213,2.554607,0.000394,0.000154"
"1.4437,2.561563,2.562083,0.000521,0.000203"
"1.4438,2.569300,2.569996,0.000697,0.000271"
"1.4439,2.577479,2.578423,0.000944,0.000366"
"1.4440,2.586169,2.587470,0.001302,0.000503"
"1.4441,2.595453,2.597283,0.001829,0.000705"
"1.4442,2.605441,2.608075,0.002634,0.001011"
"1.4443,2.616271,2.620185,0.003914,0.001496"
"1.4444,2.628126,2.634203,0.006077,0.002312"
"1.4445,2.641254,2.651363,0.010109,0.003827"
"1.4446,2.655998,2.675413,0.019416,0.007310"

[Naruyoko]

And for 1.4446<=x<e^(1/e) in increments of 0.000001.

Old:

"1.444600,2.655998,2.762307,0.106310,0.040026"
"1.444601,2.656155,2.761978,0.105823,0.039841"
"1.444602,2.656312,2.761645,0.105333,0.039654"
"1.444603,2.656469,2.761310,0.104841,0.039466"
"1.444604,2.656627,2.760973,0.104346,0.039278"
"1.444605,2.656785,2.760633,0.103848,0.039088"
"1.444606,2.656943,2.760291,0.103347,0.038897"
"1.444607,2.657102,2.759945,0.102844,0.038705"
"1.444608,2.657260,2.759597,0.102337,0.038512"
"1.444609,2.657419,2.759246,0.101827,0.038318"
"1.444610,2.657578,2.758892,0.101314,0.038123"
"1.444611,2.657737,2.758536,0.100798,0.037926"
"1.444612,2.657897,2.758176,0.100279,0.037729"
"1.444613,2.658056,2.757813,0.099756,0.037530"
"1.444614,2.658216,2.757446,0.099230,0.037330"
"1.444615,2.658376,2.757077,0.098701,0.037128"
"1.444616,2.658537,2.756704,0.098167,0.036925"
"1.444617,2.658697,2.756327,0.097630,0.036721"
"1.444618,2.658858,2.755947,0.097089,0.036515"
"1.444619,2.659019,2.755563,0.096544,0.036308"
"1.444620,2.659180,2.755175,0.095995,0.036100"
"1.444621,2.659341,2.754783,0.095442,0.035889"
"1.444622,2.659503,2.754388,0.094885,0.035678"
"1.444623,2.659665,2.753987,0.094323,0.035464"
"1.444624,2.659827,2.753583,0.093756,0.035249"
"1.444625,2.659989,2.753174,0.093185,0.035032"
"1.444626,2.660152,2.752760,0.092608,0.034813"
"1.444627,2.660314,2.752341,0.092027,0.034593"
"1.444628,2.660477,2.751918,0.091440,0.034370"
"1.444629,2.660640,2.751489,0.090848,0.034145"
"1.444630,2.660804,2.751054,0.090251,0.033919"
"1.444631,2.660967,2.750614,0.089647,0.033690"
"1.444632,2.661131,2.750168,0.089037,0.033458"
"1.444633,2.661295,2.749716,0.088421,0.033225"
"1.444634,2.661460,2.749258,0.087798,0.032989"
"1.444635,2.661624,2.748793,0.087169,0.032750"
"1.444636,2.661789,2.748321,0.086532,0.032509"
"1.444637,2.661954,2.747841,0.085887,0.032265"
"1.444638,2.662119,2.747354,0.085235,0.032018"
"1.444639,2.662285,2.746859,0.084574,0.031767"
"1.444640,2.662451,2.746355,0.083905,0.031514"
"1.444641,2.662616,2.745842,0.083226,0.031257"
"1.444642,2.662783,2.745320,0.082538,0.030997"
"1.444643,2.662949,2.744788,0.081839,0.030732"
"1.444644,2.663116,2.744245,0.081129,0.030464"
"1.444645,2.663283,2.743691,0.080408,0.030191"
"1.444646,2.663450,2.743125,0.079675,0.029914"
"1.444647,2.663617,2.742546,0.078929,0.029632"
"1.444648,2.663785,2.741953,0.078168,0.029345"
"1.444649,2.663953,2.741345,0.077392,0.029052"
"1.444650,2.664121,2.740721,0.076600,0.028753"
"1.444651,2.664289,2.740079,0.075790,0.028447"
"1.444652,2.664457,2.739419,0.074961,0.028134"
"1.444653,2.664626,2.738737,0.074111,0.027813"
"1.444654,2.664795,2.738033,0.073238,0.027483"
"1.444655,2.664965,2.737303,0.072338,0.027144"
"1.444656,2.665134,2.736544,0.071410,0.026794"
"1.444657,2.665304,2.735753,0.070449,0.026432"
"1.444658,2.665474,2.734925,0.069451,0.026056"
"1.444659,2.665644,2.734055,0.068410,0.025664"
"1.444660,2.665815,2.733134,0.067319,0.025253"
"1.444661,2.665985,2.732153,0.066167,0.024819"
"1.444662,2.666157,2.731098,0.064942,0.024358"
"1.444663,2.666328,2.729950,0.063622,0.023861"
"1.444664,2.666499,2.728676,0.062177,0.023318"
"1.444665,2.666671,2.727226,0.060555,0.022708"
"1.444666,2.666843,2.725491,0.058648,0.021992"
"1.444667,2.667015,2.723182,0.056167,0.021060"

New:

"1.444600,2.655998,2.675413,0.019416,0.007310"
"1.444601,2.656155,2.675726,0.019572,0.007368"
"1.444602,2.656312,2.676042,0.019730,0.007427"
"1.444603,2.656469,2.676359,0.019890,0.007487"
"1.444604,2.656627,2.676680,0.020052,0.007548"
"1.444605,2.656785,2.677002,0.020217,0.007610"
"1.444606,2.656943,2.677328,0.020385,0.007672"
"1.444607,2.657102,2.677656,0.020555,0.007736"
"1.444608,2.657260,2.677987,0.020727,0.007800"
"1.444609,2.657419,2.678321,0.020902,0.007866"
"1.444610,2.657578,2.678658,0.021080,0.007932"
"1.444611,2.657737,2.678998,0.021260,0.007999"
"1.444612,2.657897,2.679340,0.021444,0.008068"
"1.444613,2.658056,2.679686,0.021630,0.008138"
"1.444614,2.658216,2.680036,0.021819,0.008208"
"1.444615,2.658376,2.680388,0.022012,0.008280"
"1.444616,2.658537,2.680744,0.022208,0.008353"
"1.444617,2.658697,2.681104,0.022407,0.008428"
"1.444618,2.658858,2.681467,0.022609,0.008503"
"1.444619,2.659019,2.681834,0.022815,0.008580"
"1.444620,2.659180,2.682205,0.023025,0.008659"
"1.444621,2.659341,2.682579,0.023238,0.008738"
"1.444622,2.659503,2.682958,0.023455,0.008819"
"1.444623,2.659665,2.683341,0.023676,0.008902"
"1.444624,2.659827,2.683729,0.023902,0.008986"
"1.444625,2.659989,2.684121,0.024132,0.009072"
"1.444626,2.660152,2.684517,0.024366,0.009160"
"1.444627,2.660314,2.684919,0.024605,0.009249"
"1.444628,2.660477,2.685326,0.024848,0.009340"
"1.444629,2.660640,2.685737,0.025097,0.009433"
"1.444630,2.660804,2.686155,0.025351,0.009528"
"1.444631,2.660967,2.686578,0.025610,0.009624"
"1.444632,2.661131,2.687007,0.025875,0.009723"
"1.444633,2.661295,2.687442,0.026146,0.009825"
"1.444634,2.661460,2.687883,0.026423,0.009928"
"1.444635,2.661624,2.688331,0.026707,0.010034"
"1.444636,2.661789,2.688786,0.026997,0.010142"
"1.444637,2.661954,2.689249,0.027295,0.010254"
"1.444638,2.662119,2.689719,0.027599,0.010367"
"1.444639,2.662285,2.690197,0.027912,0.010484"
"1.444640,2.662451,2.690684,0.028233,0.010604"
"1.444641,2.662616,2.691179,0.028563,0.010727"
"1.444642,2.662783,2.691684,0.028902,0.010854"
"1.444643,2.662949,2.692200,0.029250,0.010984"
"1.444644,2.663116,2.692725,0.029610,0.011118"
"1.444645,2.663283,2.693262,0.029980,0.011257"
"1.444646,2.663450,2.693812,0.030362,0.011399"
"1.444647,2.663617,2.694374,0.030757,0.011547"
"1.444648,2.663785,2.694950,0.031165,0.011699"
"1.444649,2.663953,2.695540,0.031588,0.011858"
"1.444650,2.664121,2.696147,0.032027,0.012022"
"1.444651,2.664289,2.696772,0.032483,0.012192"
"1.444652,2.664457,2.697415,0.032958,0.012369"
"1.444653,2.664626,2.698080,0.033453,0.012555"
"1.444654,2.664795,2.698767,0.033972,0.012748"
"1.444655,2.664965,2.699480,0.034515,0.012952"
"1.444656,2.665134,2.700222,0.035087,0.013165"
"1.444657,2.665304,2.700996,0.035692,0.013391"
"1.444658,2.665474,2.701806,0.036333,0.013631"
"1.444659,2.665644,2.702660,0.037016,0.013886"
"1.444660,2.665815,2.703564,0.037749,0.014160"
"1.444661,2.665985,2.704528,0.038542,0.014457"
"1.444662,2.666157,2.705565,0.039409,0.014781"
"1.444663,2.666328,2.706697,0.040369,0.015140"
"1.444664,2.666499,2.707953,0.041454,0.015546"
"1.444665,2.666671,2.709387,0.042716,0.016018"
"1.444666,2.666843,2.711104,0.044261,0.016597"
"1.444667,2.667015,2.713396,0.046381,0.017391"

[Naruyoko]

And for that matter, 1.444667<=x<e^(1/e) in increments of 0.00000001.

Old:

"1.44466700,2.667015,2.723182,0.056167,0.021060"
"1.44466701,2.667017,2.723154,0.056137,0.021048"
"1.44466702,2.667019,2.723125,0.056106,0.021037"
"1.44466703,2.667021,2.723096,0.056075,0.021025"
"1.44466704,2.667022,2.723067,0.056045,0.021014"
"1.44466705,2.667024,2.723038,0.056014,0.021002"
"1.44466706,2.667026,2.723008,0.055982,0.020991"
"1.44466707,2.667027,2.722978,0.055951,0.020979"
"1.44466708,2.667029,2.722949,0.055920,0.020967"
"1.44466709,2.667031,2.722919,0.055888,0.020955"
"1.44466710,2.667033,2.722888,0.055856,0.020943"
"1.44466711,2.667034,2.722858,0.055824,0.020931"
"1.44466712,2.667036,2.722827,0.055791,0.020919"
"1.44466713,2.667038,2.722797,0.055759,0.020907"
"1.44466714,2.667039,2.722766,0.055726,0.020894"
"1.44466715,2.667041,2.722734,0.055693,0.020882"
"1.44466716,2.667043,2.722703,0.055660,0.020870"
"1.44466717,2.667045,2.722671,0.055627,0.020857"
"1.44466718,2.667046,2.722639,0.055593,0.020844"
"1.44466719,2.667048,2.722607,0.055559,0.020832"
"1.44466720,2.667050,2.722575,0.055525,0.020819"
"1.44466721,2.667052,2.722542,0.055491,0.020806"
"1.44466722,2.667053,2.722509,0.055456,0.020793"
"1.44466723,2.667055,2.722476,0.055421,0.020780"
"1.44466724,2.667057,2.722443,0.055386,0.020767"
"1.44466725,2.667058,2.722409,0.055350,0.020753"
"1.44466726,2.667060,2.722375,0.055315,0.020740"
"1.44466727,2.667062,2.722341,0.055279,0.020726"
"1.44466728,2.667064,2.722306,0.055243,0.020713"
"1.44466729,2.667065,2.722271,0.055206,0.020699"
"1.44466730,2.667067,2.722236,0.055169,0.020685"
"1.44466731,2.667069,2.722201,0.055132,0.020671"
"1.44466732,2.667071,2.722165,0.055095,0.020657"
"1.44466733,2.667072,2.722129,0.055057,0.020643"
"1.44466734,2.667074,2.722093,0.055019,0.020629"
"1.44466735,2.667076,2.722056,0.054980,0.020614"
"1.44466736,2.667077,2.722019,0.054941,0.020600"
"1.44466737,2.667079,2.721981,0.054902,0.020585"
"1.44466738,2.667081,2.721943,0.054862,0.020570"
"1.44466739,2.667083,2.721905,0.054822,0.020555"
"1.44466740,2.667084,2.721866,0.054782,0.020540"
"1.44466741,2.667086,2.721827,0.054741,0.020525"
"1.44466742,2.667088,2.721787,0.054700,0.020509"
"1.44466743,2.667090,2.721747,0.054658,0.020493"
"1.44466744,2.667091,2.721707,0.054616,0.020478"
"1.44466745,2.667093,2.721666,0.054573,0.020462"
"1.44466746,2.667095,2.721625,0.054530,0.020445"
"1.44466747,2.667096,2.721583,0.054486,0.020429"
"1.44466748,2.667098,2.721540,0.054442,0.020412"
"1.44466749,2.667100,2.721497,0.054397,0.020396"
"1.44466750,2.667102,2.721453,0.054352,0.020379"
"1.44466751,2.667103,2.721409,0.054306,0.020361"
"1.44466752,2.667105,2.721364,0.054259,0.020344"
"1.44466753,2.667107,2.721318,0.054212,0.020326"
"1.44466754,2.667108,2.721272,0.054164,0.020308"
"1.44466755,2.667110,2.721225,0.054115,0.020290"
"1.44466756,2.667112,2.721177,0.054066,0.020271"
"1.44466757,2.667114,2.721129,0.054015,0.020252"
"1.44466758,2.667115,2.721080,0.053964,0.020233"
"1.44466759,2.667117,2.721029,0.053912,0.020214"
"1.44466760,2.667119,2.720978,0.053859,0.020194"
"1.44466761,2.667121,2.720926,0.053805,0.020174"
"1.44466762,2.667122,2.720873,0.053750,0.020153"
"1.44466763,2.667124,2.720818,0.053694,0.020132"
"1.44466764,2.667126,2.720763,0.053637,0.020110"
"1.44466765,2.667127,2.720706,0.053578,0.020088"
"1.44466766,2.667129,2.720648,0.053519,0.020066"
"1.44466767,2.667131,2.720588,0.053457,0.020043"
"1.44466768,2.667133,2.720527,0.053394,0.020019"
"1.44466769,2.667134,2.720464,0.053330,0.019995"
"1.44466770,2.667136,2.720399,0.053263,0.019970"
"1.44466771,2.667138,2.720332,0.053194,0.019944"
"1.44466772,2.667140,2.720263,0.053124,0.019918"
"1.44466773,2.667141,2.720192,0.053050,0.019890"
"1.44466774,2.667143,2.720117,0.052974,0.019862"
"1.44466775,2.667145,2.720040,0.052895,0.019832"
"1.44466776,2.667146,2.719959,0.052812,0.019801"
"1.44466777,2.667148,2.719873,0.052725,0.019768"
"1.44466778,2.667150,2.719783,0.052633,0.019734"
"1.44466779,2.667152,2.719688,0.052536,0.019697"
"1.44466780,2.667153,2.719585,0.052431,0.019658"
"1.44466781,2.667155,2.719473,0.052318,0.019616"
"1.44466782,2.667157,2.719350,0.052193,0.019569"
"1.44466783,2.667159,2.719211,0.052052,0.019516"
"1.44466784,2.667160,2.719046,0.051886,0.019454"
"1.44466785,2.667162,2.718835,0.051673,0.019374"
"1.44466786,2.667164,2.718449,0.051286,0.019229"

New:

"1.44466700,2.667015,2.713396,0.046381,0.017391"
"1.44466701,2.667017,2.713425,0.046407,0.017401"
"1.44466702,2.667019,2.713453,0.046434,0.017411"
"1.44466703,2.667021,2.713482,0.046461,0.017421"
"1.44466704,2.667022,2.713511,0.046489,0.017431"
"1.44466705,2.667024,2.713540,0.046516,0.017441"
"1.44466706,2.667026,2.713569,0.046544,0.017451"
"1.44466707,2.667027,2.713599,0.046571,0.017462"
"1.44466708,2.667029,2.713628,0.046599,0.017472"
"1.44466709,2.667031,2.713658,0.046627,0.017483"
"1.44466710,2.667033,2.713688,0.046656,0.017493"
"1.44466711,2.667034,2.713718,0.046684,0.017504"
"1.44466712,2.667036,2.713749,0.046713,0.017515"
"1.44466713,2.667038,2.713780,0.046742,0.017526"
"1.44466714,2.667039,2.713810,0.046771,0.017537"
"1.44466715,2.667041,2.713841,0.046800,0.017548"
"1.44466716,2.667043,2.713873,0.046830,0.017559"
"1.44466717,2.667045,2.713904,0.046860,0.017570"
"1.44466718,2.667046,2.713936,0.046890,0.017581"
"1.44466719,2.667048,2.713968,0.046920,0.017592"
"1.44466720,2.667050,2.714000,0.046950,0.017604"
"1.44466721,2.667052,2.714033,0.046981,0.017615"
"1.44466722,2.667053,2.714065,0.047012,0.017627"
"1.44466723,2.667055,2.714098,0.047043,0.017639"
"1.44466724,2.667057,2.714132,0.047075,0.017651"
"1.44466725,2.667058,2.714165,0.047107,0.017662"
"1.44466726,2.667060,2.714199,0.047139,0.017674"
"1.44466727,2.667062,2.714233,0.047171,0.017687"
"1.44466728,2.667064,2.714267,0.047204,0.017699"
"1.44466729,2.667065,2.714302,0.047237,0.017711"
"1.44466730,2.667067,2.714337,0.047270,0.017724"
"1.44466731,2.667069,2.714372,0.047303,0.017736"
"1.44466732,2.667071,2.714408,0.047337,0.017749"
"1.44466733,2.667072,2.714444,0.047372,0.017762"
"1.44466734,2.667074,2.714480,0.047406,0.017775"
"1.44466735,2.667076,2.714517,0.047441,0.017788"
"1.44466736,2.667077,2.714554,0.047476,0.017801"
"1.44466737,2.667079,2.714591,0.047512,0.017814"
"1.44466738,2.667081,2.714629,0.047548,0.017828"
"1.44466739,2.667083,2.714667,0.047584,0.017841"
"1.44466740,2.667084,2.714705,0.047621,0.017855"
"1.44466741,2.667086,2.714744,0.047658,0.017869"
"1.44466742,2.667088,2.714784,0.047696,0.017883"
"1.44466743,2.667090,2.714824,0.047734,0.017897"
"1.44466744,2.667091,2.714864,0.047773,0.017912"
"1.44466745,2.667093,2.714905,0.047812,0.017927"
"1.44466746,2.667095,2.714946,0.047851,0.017941"
"1.44466747,2.667096,2.714988,0.047891,0.017956"
"1.44466748,2.667098,2.715030,0.047932,0.017972"
"1.44466749,2.667100,2.715073,0.047973,0.017987"
"1.44466750,2.667102,2.715117,0.048015,0.018003"
"1.44466751,2.667103,2.715161,0.048057,0.018019"
"1.44466752,2.667105,2.715205,0.048100,0.018035"
"1.44466753,2.667107,2.715251,0.048144,0.018051"
"1.44466754,2.667108,2.715297,0.048188,0.018068"
"1.44466755,2.667110,2.715344,0.048234,0.018085"
"1.44466756,2.667112,2.715391,0.048279,0.018102"
"1.44466757,2.667114,2.715440,0.048326,0.018119"
"1.44466758,2.667115,2.715489,0.048374,0.018137"
"1.44466759,2.667117,2.715539,0.048422,0.018155"
"1.44466760,2.667119,2.715590,0.048471,0.018174"
"1.44466761,2.667121,2.715642,0.048522,0.018192"
"1.44466762,2.667122,2.715695,0.048573,0.018212"
"1.44466763,2.667124,2.715749,0.048625,0.018231"
"1.44466764,2.667126,2.715805,0.048679,0.018251"
"1.44466765,2.667127,2.715861,0.048734,0.018272"
"1.44466766,2.667129,2.715919,0.048790,0.018293"
"1.44466767,2.667131,2.715979,0.048848,0.018315"
"1.44466768,2.667133,2.716040,0.048907,0.018337"
"1.44466769,2.667134,2.716103,0.048968,0.018360"
"1.44466770,2.667136,2.716167,0.049031,0.018383"
"1.44466771,2.667138,2.716234,0.049096,0.018408"
"1.44466772,2.667140,2.716303,0.049163,0.018433"
"1.44466773,2.667141,2.716374,0.049233,0.018459"
"1.44466774,2.667143,2.716449,0.049306,0.018486"
"1.44466775,2.667145,2.716526,0.049381,0.018515"
"1.44466776,2.667146,2.716607,0.049460,0.018544"
"1.44466777,2.667148,2.716692,0.049544,0.018576"
"1.44466778,2.667150,2.716782,0.049632,0.018609"
"1.44466779,2.667152,2.716877,0.049726,0.018644"
"1.44466780,2.667153,2.716980,0.049827,0.018682"
"1.44466781,2.667155,2.717091,0.049936,0.018723"
"1.44466782,2.667157,2.717214,0.050058,0.018768"
"1.44466783,2.667159,2.717354,0.050195,0.018820"
"1.44466784,2.667160,2.717518,0.050357,0.018881"
"1.44466785,2.667162,2.717729,0.050567,0.018959"
"1.44466786,2.667164,2.718114,0.050951,0.019103"

It is obvious that for where x^^Infinity converges, the new method is better than the old one. I have no idea for the other parts, so I will leave d_lambertw alone for now.

[Naruyoko]

Also, the minified file you are using is generated by UglifyJS 3, I assume?

[Naruyoko]

Wait, I got different results...

[Patashu]

Oh, I can answer that part - I run it through https://babeljs.io/repl then I run THAT through https://javascript-minifier.com/ . I don't know if that's the best way to do it, but no one ever complained.

[Naruyoko]

Ok, thanks!

[Naruyoko]

May I ask the options you use for Babel?

[Patashu]

es2015/stage-2/react, I think. If I ever changed it I have no memory of it.

[Naruyoko]

Thank you, now I understand how the beginning of the code is way it is.

[Naruyoko]

#37

[Patashu]

Thanks for your investigation work, I'm happy with this, merged.