Average Error: 0.0 → 0.0

Time: 16.9s

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 r943207 = re;
        double r943208 = exp(r943207);
        double r943209 = im;
        double r943210 = sin(r943209);
        double r943211 = r943208 * r943210;
        return r943211;
}

↓

double f(double re, double im) {
        double r943212 = im;
        double r943213 = sin(r943212);
        double r943214 = re;
        double r943215 = exp(r943214);
        double r943216 = r943213 * r943215;
        return r943216;
}

Error

The X axis uses an exponential scale — Bits error versus `re`

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In
Out

Enter valid numbers for all inputs

Derivation

Initial program 0.0
\[e^{re} \cdot \sin im\]
Final simplification0.0
\[\leadsto \sin im \cdot e^{re}\]

Reproduce

herbie shell --seed 2019141 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))