torchquad checks for 1 million samples

(base) agentperry@warmachine86:~/Documents/CodeFiles2/GeomScale/torchquad-mc-checks-gsoc$ python3 torch-checks.py
For integration of f(x) = e^(-X.dot(X)) from dimension 1 to 10
For dimension =  1
Integral value =  1.493435263633728
For dimension =  2
Integral value =  2.229729652404785
For dimension =  3
Integral value =  3.330648183822632
For dimension =  4
Integral value =  4.972863674163818
For dimension =  5
Integral value =  7.441420078277588
For dimension =  6
Integral value =  11.099045753479004
For dimension =  7
Integral value =  16.585376739501953
For dimension =  8
Integral value =  24.802000045776367
For dimension =  9
Integral value =  37.0170783996582
For dimension =  10
Integral value =  55.303375244140625

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For integration of f(x) = e^(-X.dot(X) + X.sum()) from dimension 1 to 10
For dimension =  1
Integral value =  1.6916844844818115
For dimension =  2
Integral value =  2.863226890563965
For dimension =  3
Integral value =  4.839576721191406
For dimension =  4
Integral value =  8.202302932739258
For dimension =  5
Integral value =  13.884998321533203
For dimension =  6
Integral value =  23.43341636657715
For dimension =  7
Integral value =  39.69560623168945
For dimension =  8
Integral value =  67.09037780761719
For dimension =  9
Integral value =  113.2146987915039
For dimension =  10
Integral value =  192.7988739013672