Average Error: 0.0 → 0.0
Time: 7.8s
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 r32484 = 0.5;
        double r32485 = re;
        double r32486 = sin(r32485);
        double r32487 = r32484 * r32486;
        double r32488 = 0.0;
        double r32489 = im;
        double r32490 = r32488 - r32489;
        double r32491 = exp(r32490);
        double r32492 = exp(r32489);
        double r32493 = r32491 + r32492;
        double r32494 = r32487 * r32493;
        return r32494;
}
↓
double f(double re, double im) {
        double r32495 = 0.5;
        double r32496 = re;
        double r32497 = sin(r32496);
        double r32498 = r32495 * r32497;
        double r32499 = 0.0;
        double r32500 = im;
        double r32501 = r32499 - r32500;
        double r32502 = exp(r32501);
        double r32503 = exp(r32500);
        double r32504 = r32502 + r32503;
        double r32505 = r32498 * r32504;
        return r32505;
}

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 2019356 
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))