Average Error: 0.0 → 0.0
Time: 25.2s
Precision: 64
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)\]
↓
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{-im} + e^{im}\right)\]
\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)
↓
\left(0.5 \cdot \sin re\right) \cdot \left(e^{-im} + e^{im}\right)
double f(double re, double im) {
        double r1436265 = 0.5;
        double r1436266 = re;
        double r1436267 = sin(r1436266);
        double r1436268 = r1436265 * r1436267;
        double r1436269 = 0.0;
        double r1436270 = im;
        double r1436271 = r1436269 - r1436270;
        double r1436272 = exp(r1436271);
        double r1436273 = exp(r1436270);
        double r1436274 = r1436272 + r1436273;
        double r1436275 = r1436268 * r1436274;
        return r1436275;
}
↓
double f(double re, double im) {
        double r1436276 = 0.5;
        double r1436277 = re;
        double r1436278 = sin(r1436277);
        double r1436279 = r1436276 * r1436278;
        double r1436280 = im;
        double r1436281 = -r1436280;
        double r1436282 = exp(r1436281);
        double r1436283 = exp(r1436280);
        double r1436284 = r1436282 + r1436283;
        double r1436285 = r1436279 * r1436284;
        return r1436285;
}

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

    \[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)\]

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019163 
(FPCore (re im)
  :name "math.sin on complex, real part"
  (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))))