Average Error: 0.0 → 0.0
Time: 32.0s
Precision: 64
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)\]
↓
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)\]
\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)
↓
\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)
double f(double re, double im) {
        double r940271 = 0.5;
        double r940272 = re;
        double r940273 = sin(r940272);
        double r940274 = r940271 * r940273;
        double r940275 = 0.0;
        double r940276 = im;
        double r940277 = r940275 - r940276;
        double r940278 = exp(r940277);
        double r940279 = exp(r940276);
        double r940280 = r940278 + r940279;
        double r940281 = r940274 * r940280;
        return r940281;
}
↓
double f(double re, double im) {
        double r940282 = 0.5;
        double r940283 = re;
        double r940284 = sin(r940283);
        double r940285 = r940282 * r940284;
        double r940286 = 0.0;
        double r940287 = im;
        double r940288 = r940286 - r940287;
        double r940289 = exp(r940288);
        double r940290 = exp(r940287);
        double r940291 = r940289 + r940290;
        double r940292 = r940285 * r940291;
        return r940292;
}

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

    \[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)\]

  2. Final simplification0.0

    \[\leadsto \left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)\]

Reproduce

herbie shell --seed 2019168 
(FPCore (re im)
  :name "math.sin on complex, real part"
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))