Average Error: 0.0 → 0.0
Time: 10.5s
Precision: 64
\[e^{re} \cdot \sin im\]
↓
\[\sin im \cdot e^{re}\]
e^{re} \cdot \sin im
↓
\sin im \cdot e^{re}
double f(double re, double im) {
        double r1417532 = re;
        double r1417533 = exp(r1417532);
        double r1417534 = im;
        double r1417535 = sin(r1417534);
        double r1417536 = r1417533 * r1417535;
        return r1417536;
}
↓
double f(double re, double im) {
        double r1417537 = im;
        double r1417538 = sin(r1417537);
        double r1417539 = re;
        double r1417540 = exp(r1417539);
        double r1417541 = r1417538 * r1417540;
        return r1417541;
}

Error

Bits error versus re

Bits error versus im

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[e^{re} \cdot \sin im\]

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019152 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))