Average Error: 0.0 → 0.0
Time: 10.1s
Precision: 64
\[e^{re} \cdot \cos im\]
↓
\[\cos im \cdot e^{re}\]
e^{re} \cdot \cos im
↓
\cos im \cdot e^{re}
double f(double re, double im) {
        double r1041570 = re;
        double r1041571 = exp(r1041570);
        double r1041572 = im;
        double r1041573 = cos(r1041572);
        double r1041574 = r1041571 * r1041573;
        return r1041574;
}
↓
double f(double re, double im) {
        double r1041575 = im;
        double r1041576 = cos(r1041575);
        double r1041577 = re;
        double r1041578 = exp(r1041577);
        double r1041579 = r1041576 * r1041578;
        return r1041579;
}

Error

Bits error versus re

Bits error versus im

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Your Program's Arguments

Results

Enter valid numbers for all inputs

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 2019165 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))