(/ (pow c h) (+ (pow c h) (pow k h)))

Average Error: 0.5 → 0.5

Time: 3.6s

Precision: binary64

• could not determine a ground truth for program body

  1. c = 2.8924774425686944e+231
  2. h = 5002059902852485.0
  3. k = -3.882930184153545e+243

Math

\[\frac{{c}^{h}}{{c}^{h} + {k}^{h}}\]

↓

\[\frac{{c}^{h}}{{c}^{h} + {k}^{h}}\]

C

double code(double c, double h, double k) {
	return ((double) (((double) pow(c, h)) / ((double) (((double) pow(c, h)) + ((double) pow(k, h))))));
}

↓

double code(double c, double h, double k) {
	return ((double) (((double) pow(c, h)) / ((double) (((double) pow(c, h)) + ((double) pow(k, h))))));
}

Error

Bits error versus c

Bits error versus h

Bits error versus k

Derivation

1. Initial program 0.5

   \[\frac{{c}^{h}}{{c}^{h} + {k}^{h}}\]

2. Final simplification 0.5

   \[\leadsto \frac{{c}^{h}}{{c}^{h} + {k}^{h}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (c h k)
  :name "(/ (pow c h) (+ (pow c h) (pow k h)))"
  :precision binary64
  (/ (pow c h) (+ (pow c h) (pow k h))))