Average Error: 18.7 → 18.7
Time: 1.8s
Precision: binary64
\[{\left(\left(\log \left({x}^{2}\right) \cdot 42\right) \cdot y + 4\right)}^{z}\]
↓
\[{\left(\left(\log \left({x}^{2}\right) \cdot 42\right) \cdot y + 4\right)}^{z}\]
{\left(\left(\log \left({x}^{2}\right) \cdot 42\right) \cdot y + 4\right)}^{z}
↓
{\left(\left(\log \left({x}^{2}\right) \cdot 42\right) \cdot y + 4\right)}^{z}
double code(double x, double y, double z) {
	return ((double) pow(((double) (((double) (((double) (((double) log(((double) pow(x, 2.0)))) * 42.0)) * y)) + 4.0)), z));
}
↓
double code(double x, double y, double z) {
	return ((double) pow(((double) (((double) (((double) (((double) log(((double) pow(x, 2.0)))) * 42.0)) * y)) + 4.0)), z));
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 18.7

    \[{\left(\left(\log \left({x}^{2}\right) \cdot 42\right) \cdot y + 4\right)}^{z}\]

  2. Final simplification18.7

    \[\leadsto {\left(\left(\log \left({x}^{2}\right) \cdot 42\right) \cdot y + 4\right)}^{z}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y z)
  :name "(pow (+ (* (* (log (pow x 2)) 42) y) 4) z)"
  :precision binary64
  (pow (+ (* (* (log (pow x 2.0)) 42.0) y) 4.0) z))