Average Error: 0.0 → 0.0
Time: 19.9s
Precision: 64
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)\]
↓
\[\left(\sin re \cdot \left(e^{im} + e^{0.0 - im}\right)\right) \cdot 0.5\]
\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)
↓
\left(\sin re \cdot \left(e^{im} + e^{0.0 - im}\right)\right) \cdot 0.5
double f(double re, double im) {
        double r864490 = 0.5;
        double r864491 = re;
        double r864492 = sin(r864491);
        double r864493 = r864490 * r864492;
        double r864494 = 0.0;
        double r864495 = im;
        double r864496 = r864494 - r864495;
        double r864497 = exp(r864496);
        double r864498 = exp(r864495);
        double r864499 = r864497 + r864498;
        double r864500 = r864493 * r864499;
        return r864500;
}
↓
double f(double re, double im) {
        double r864501 = re;
        double r864502 = sin(r864501);
        double r864503 = im;
        double r864504 = exp(r864503);
        double r864505 = 0.0;
        double r864506 = r864505 - r864503;
        double r864507 = exp(r864506);
        double r864508 = r864504 + r864507;
        double r864509 = r864502 * r864508;
        double r864510 = 0.5;
        double r864511 = r864509 * r864510;
        return r864511;
}

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. Using strategy rm

  3. Applied associate-*l*0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019179 
(FPCore (re im)
  :name "math.sin on complex, real part"
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))