Average Error: 0.0 → 0.0
Time: 20.3s
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 r11663 = 0.5;
        double r11664 = re;
        double r11665 = sin(r11664);
        double r11666 = r11663 * r11665;
        double r11667 = 0.0;
        double r11668 = im;
        double r11669 = r11667 - r11668;
        double r11670 = exp(r11669);
        double r11671 = exp(r11668);
        double r11672 = r11670 + r11671;
        double r11673 = r11666 * r11672;
        return r11673;
}
↓
double f(double re, double im) {
        double r11674 = 0.5;
        double r11675 = re;
        double r11676 = sin(r11675);
        double r11677 = r11674 * r11676;
        double r11678 = 0.0;
        double r11679 = im;
        double r11680 = r11678 - r11679;
        double r11681 = exp(r11680);
        double r11682 = exp(r11679);
        double r11683 = r11681 + r11682;
        double r11684 = r11677 * r11683;
        return r11684;
}

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 2019303 
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))