Average Error: 0.0 → 0.0
Time: 13.3s
Precision: 64
\[\left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)\]
↓
\[\cos re \cdot \left(e^{im} \cdot 0.5 + \frac{0.5}{e^{im}}\right)\]
\left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)
↓
\cos re \cdot \left(e^{im} \cdot 0.5 + \frac{0.5}{e^{im}}\right)
double f(double re, double im) {
        double r2231486 = 0.5;
        double r2231487 = re;
        double r2231488 = cos(r2231487);
        double r2231489 = r2231486 * r2231488;
        double r2231490 = im;
        double r2231491 = -r2231490;
        double r2231492 = exp(r2231491);
        double r2231493 = exp(r2231490);
        double r2231494 = r2231492 + r2231493;
        double r2231495 = r2231489 * r2231494;
        return r2231495;
}
↓
double f(double re, double im) {
        double r2231496 = re;
        double r2231497 = cos(r2231496);
        double r2231498 = im;
        double r2231499 = exp(r2231498);
        double r2231500 = 0.5;
        double r2231501 = r2231499 * r2231500;
        double r2231502 = r2231500 / r2231499;
        double r2231503 = r2231501 + r2231502;
        double r2231504 = r2231497 * r2231503;
        return r2231504;
}

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

    \[\left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\cos re \cdot \left(e^{im} \cdot 0.5 + \frac{0.5}{e^{im}}\right)}\]

  3. Final simplification0.0

    \[\leadsto \cos re \cdot \left(e^{im} \cdot 0.5 + \frac{0.5}{e^{im}}\right)\]

Reproduce

herbie shell --seed 2019179 
(FPCore (re im)
  :name "math.cos on complex, real part"
  (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))