Average Error: 0.0 → 0.0
Time: 9.3s
Precision: 64
\[e^{re} \cdot \cos im\]
\[\cos im \cdot e^{re}\]
double f(double re, double im) {
        double r1360493 = re;
        double r1360494 = exp(r1360493);
        double r1360495 = im;
        double r1360496 = cos(r1360495);
        double r1360497 = r1360494 * r1360496;
        return r1360497;
}

double f(double re, double im) {
        double r1360498 = im;
        double r1360499 = cos(r1360498);
        double r1360500 = re;
        double r1360501 = exp(r1360500);
        double r1360502 = r1360499 * r1360501;
        return r1360502;
}

e^{re} \cdot \cos im
\cos im \cdot e^{re}

Error

Bits error versus re

Bits error versus im

Derivation

  1. Initial program 0.0

    \[e^{re} \cdot \cos im\]
  2. Final simplification0.0

    \[\leadsto \cos im \cdot e^{re}\]

Reproduce

herbie shell --seed 2019102 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))