Average Error: 0.0 → 0.0
Time: 2.8s
Precision: 64
\[e^{re} \cdot \cos im\]
↓
\[e^{re} \cdot \cos im\]
e^{re} \cdot \cos im
↓
e^{re} \cdot \cos im
double f(double re, double im) {
        double r95341 = re;
        double r95342 = exp(r95341);
        double r95343 = im;
        double r95344 = cos(r95343);
        double r95345 = r95342 * r95344;
        return r95345;
}
↓
double f(double re, double im) {
        double r95346 = re;
        double r95347 = exp(r95346);
        double r95348 = im;
        double r95349 = cos(r95348);
        double r95350 = r95347 * r95349;
        return r95350;
}

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

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019344 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))