Average Error: 0.0 → 0.0
Time: 37.1s
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 r754350 = 0.5;
        double r754351 = re;
        double r754352 = sin(r754351);
        double r754353 = r754350 * r754352;
        double r754354 = 0.0;
        double r754355 = im;
        double r754356 = r754354 - r754355;
        double r754357 = exp(r754356);
        double r754358 = exp(r754355);
        double r754359 = r754357 + r754358;
        double r754360 = r754353 * r754359;
        return r754360;
}
↓
double f(double re, double im) {
        double r754361 = 0.5;
        double r754362 = re;
        double r754363 = sin(r754362);
        double r754364 = r754361 * r754363;
        double r754365 = 0.0;
        double r754366 = im;
        double r754367 = r754365 - r754366;
        double r754368 = exp(r754367);
        double r754369 = exp(r754366);
        double r754370 = r754368 + r754369;
        double r754371 = r754364 * r754370;
        return r754371;
}

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 +o rules:numerics
(FPCore (re im)
  :name "math.sin on complex, real part"
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))