Average Error: 0.0 → 0.0
Time: 16.6s
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 r1986050 = re;
        double r1986051 = exp(r1986050);
        double r1986052 = im;
        double r1986053 = sin(r1986052);
        double r1986054 = r1986051 * r1986053;
        return r1986054;
}
↓
double f(double re, double im) {
        double r1986055 = im;
        double r1986056 = sin(r1986055);
        double r1986057 = re;
        double r1986058 = exp(r1986057);
        double r1986059 = r1986056 * r1986058;
        return r1986059;
}

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 2019158 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))