Benchmark test e^x^3

[Beginner]

The DM42 by SwissMicros is performing this benchmark test not so fast as the HP Prime but has a far wider range of data. I quote from the forum of SwissMicros:
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On battery (Accuracy factor = 0.01):

0..6 = 5.9640E91 (<2 s)
0..13 = 2.7549E951 (<4 s)
0..22 = 1.6059E4621 (<9 s)
0..24 = 2.8145E6000 (<9 s)
0..25 = Out of range

On USB (Accuracy factor = 0.01):

0..6 = 5.9640E91 (<1 s)
0..13 = 2.7549E951 (<2 s)
0..22 = 1.6059E4621 (<3 s)
0..24 = 2.8145E6000 (<3 s)
0..25 = Out of range

Accuracy factor (On USB):

0..24 (acc=1) = 3.638951888E5803 (<1 s)
0..24 (acc=0.1) = 2.809107013E6000 (<2 s)
0..24 (acc=0.01) = 2.814494035E6000 (<3 s)
0..24 (acc=0.001) = 2.814459733E6000 (<6 s)
0..24 (acc=0.0001) = 2.814459733E6000 (<6 s)
0..24 (acc=0.00001) = 2.814459726E6000 (<12 s)
0..24 (acc=0.000001) = 2.814459726E6000 (<12 s)
0..24 (acc=1E-10) = 2.814459726E6000 (<23 s) More digits: 2.814459725921252477432075662808156
0..24 (acc=1E-20) = (Stuck in a loop) Edit: Actually I did not had the patience to wait enough, it is not looping, it takes around 6 minutes. Final result: 2.814459725921296162203929219415341E6000

In comparison with Wolfram result:
2.8144597259212961622039292556760324066E6000
2.814459725921296162203929219415341E6000