Average Error: 0.0 → 0.0
Time: 19.7s
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 r362249 = 0.5;
        double r362250 = re;
        double r362251 = sin(r362250);
        double r362252 = r362249 * r362251;
        double r362253 = 0.0;
        double r362254 = im;
        double r362255 = r362253 - r362254;
        double r362256 = exp(r362255);
        double r362257 = exp(r362254);
        double r362258 = r362256 + r362257;
        double r362259 = r362252 * r362258;
        return r362259;
}
↓
double f(double re, double im) {
        double r362260 = 0.5;
        double r362261 = re;
        double r362262 = sin(r362261);
        double r362263 = r362260 * r362262;
        double r362264 = im;
        double r362265 = -r362264;
        double r362266 = exp(r362265);
        double r362267 = exp(r362264);
        double r362268 = r362266 + r362267;
        double r362269 = r362263 * r362268;
        return r362269;
}

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 2019152 
(FPCore (re im)
  :name "math.sin on complex, real part"
  (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))))