Average Error: 0.7 → 0.7
Time: 8.1s
Precision: 64
\[\frac{e^{a}}{e^{a} + e^{b}}\]
↓
\[\frac{e^{a}}{e^{a} + e^{b}}\]
\frac{e^{a}}{e^{a} + e^{b}}
↓
\frac{e^{a}}{e^{a} + e^{b}}
double f(double a, double b) {
        double r2640965 = a;
        double r2640966 = exp(r2640965);
        double r2640967 = b;
        double r2640968 = exp(r2640967);
        double r2640969 = r2640966 + r2640968;
        double r2640970 = r2640966 / r2640969;
        return r2640970;
}
↓
double f(double a, double b) {
        double r2640971 = a;
        double r2640972 = exp(r2640971);
        double r2640973 = b;
        double r2640974 = exp(r2640973);
        double r2640975 = r2640972 + r2640974;
        double r2640976 = r2640972 / r2640975;
        return r2640976;
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.7
Target0.0
Herbie0.7
\[\frac{1}{1 + e^{b - a}}\]

Derivation

  1. Initial program 0.7

    \[\frac{e^{a}}{e^{a} + e^{b}}\]

  2. Final simplification0.7

    \[\leadsto \frac{e^{a}}{e^{a} + e^{b}}\]

Reproduce

herbie shell --seed 2019151 
(FPCore (a b)
  :name "Quotient of sum of exps"

  :herbie-target
  (/ 1 (+ 1 (exp (- b a))))

  (/ (exp a) (+ (exp a) (exp b))))