Average Error: 0.0 → 0.0
Time: 1.2m
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 r12405 = 0.5;
        double r12406 = re;
        double r12407 = sin(r12406);
        double r12408 = r12405 * r12407;
        double r12409 = 0.0;
        double r12410 = im;
        double r12411 = r12409 - r12410;
        double r12412 = exp(r12411);
        double r12413 = exp(r12410);
        double r12414 = r12412 + r12413;
        double r12415 = r12408 * r12414;
        return r12415;
}
↓
double f(double re, double im) {
        double r12416 = 0.5;
        double r12417 = re;
        double r12418 = sin(r12417);
        double r12419 = r12416 * r12418;
        double r12420 = 0.0;
        double r12421 = im;
        double r12422 = r12420 - r12421;
        double r12423 = exp(r12422);
        double r12424 = exp(r12421);
        double r12425 = r12423 + r12424;
        double r12426 = r12419 * r12425;
        return r12426;
}

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))))