Average Error: 20.6 → 20.6
Time: 1.8s
Precision: binary64
\[\frac{\frac{a}{b} + \frac{c - a}{c - b}}{{a}^{2} \cdot {b}^{2}}\]
↓
\[\frac{\frac{a}{b} + \frac{c - a}{c - b}}{{a}^{2} \cdot {b}^{2}}\]
\frac{\frac{a}{b} + \frac{c - a}{c - b}}{{a}^{2} \cdot {b}^{2}}
↓
\frac{\frac{a}{b} + \frac{c - a}{c - b}}{{a}^{2} \cdot {b}^{2}}
double code(double a, double b, double c) {
	return ((double) (((double) (((double) (a / b)) + ((double) (((double) (c - a)) / ((double) (c - b)))))) / ((double) (((double) pow(a, 2.0)) * ((double) pow(b, 2.0))))));
}
↓
double code(double a, double b, double c) {
	return ((double) (((double) (((double) (a / b)) + ((double) (((double) (c - a)) / ((double) (c - b)))))) / ((double) (((double) pow(a, 2.0)) * ((double) pow(b, 2.0))))));
}

Error

Bits error versus a

Bits error versus b

Bits error versus c

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 20.6

    \[\frac{\frac{a}{b} + \frac{c - a}{c - b}}{{a}^{2} \cdot {b}^{2}}\]

  2. Final simplification20.6

    \[\leadsto \frac{\frac{a}{b} + \frac{c - a}{c - b}}{{a}^{2} \cdot {b}^{2}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b c)
  :name "(/ (+ (/ a b) (/ (- c a) (- c b))) (* (pow a 2) (pow b 2)))"
  :precision binary64
  (/ (+ (/ a b) (/ (- c a) (- c b))) (* (pow a 2.0) (pow b 2.0))))