Average Error: 0.0 → 0.0
Time: 7.3s
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 r1667006 = re;
        double r1667007 = exp(r1667006);
        double r1667008 = im;
        double r1667009 = cos(r1667008);
        double r1667010 = r1667007 * r1667009;
        return r1667010;
}
↓
double f(double re, double im) {
        double r1667011 = im;
        double r1667012 = cos(r1667011);
        double r1667013 = re;
        double r1667014 = exp(r1667013);
        double r1667015 = r1667012 * r1667014;
        return r1667015;
}

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 2019172 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))