Average Error: 14.4 → 14.4
Time: 1.1s
Precision: binary64
\[\frac{{x}^{2}}{\sqrt{{x}^{3} + 1}}\]
↓
\[\frac{{x}^{2}}{\sqrt{{x}^{3} + 1}}\]
\frac{{x}^{2}}{\sqrt{{x}^{3} + 1}}
↓
\frac{{x}^{2}}{\sqrt{{x}^{3} + 1}}
double code(double x) {
	return ((double) (((double) pow(x, 2.0)) / ((double) sqrt(((double) (((double) pow(x, 3.0)) + 1.0))))));
}
↓
double code(double x) {
	return ((double) (((double) pow(x, 2.0)) / ((double) sqrt(((double) (((double) pow(x, 3.0)) + 1.0))))));
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 14.4

    \[\frac{{x}^{2}}{\sqrt{{x}^{3} + 1}}\]

  2. Final simplification14.4

    \[\leadsto \frac{{x}^{2}}{\sqrt{{x}^{3} + 1}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(/ (pow x 2) (sqrt (+ (pow x 3) 1)))"
  :precision binary64
  (/ (pow x 2.0) (sqrt (+ (pow x 3.0) 1.0))))