Average Error: 0.0 → 0.0
Time: 1.1m
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 r12407 = 0.5;
        double r12408 = re;
        double r12409 = sin(r12408);
        double r12410 = r12407 * r12409;
        double r12411 = 0.0;
        double r12412 = im;
        double r12413 = r12411 - r12412;
        double r12414 = exp(r12413);
        double r12415 = exp(r12412);
        double r12416 = r12414 + r12415;
        double r12417 = r12410 * r12416;
        return r12417;
}
↓
double f(double re, double im) {
        double r12418 = 0.5;
        double r12419 = re;
        double r12420 = sin(r12419);
        double r12421 = r12418 * r12420;
        double r12422 = 0.0;
        double r12423 = im;
        double r12424 = r12422 - r12423;
        double r12425 = exp(r12424);
        double r12426 = exp(r12423);
        double r12427 = r12425 + r12426;
        double r12428 = r12421 * r12427;
        return r12428;
}

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 2019202 
(FPCore (re im)
  :name "math.sin on complex, real part"
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))