Average Error: 0.0 → 0.0
Time: 6.3s
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 r27593 = 0.5;
        double r27594 = re;
        double r27595 = sin(r27594);
        double r27596 = r27593 * r27595;
        double r27597 = 0.0;
        double r27598 = im;
        double r27599 = r27597 - r27598;
        double r27600 = exp(r27599);
        double r27601 = exp(r27598);
        double r27602 = r27600 + r27601;
        double r27603 = r27596 * r27602;
        return r27603;
}
↓
double f(double re, double im) {
        double r27604 = 0.5;
        double r27605 = re;
        double r27606 = sin(r27605);
        double r27607 = r27604 * r27606;
        double r27608 = 0.0;
        double r27609 = im;
        double r27610 = r27608 - r27609;
        double r27611 = exp(r27610);
        double r27612 = exp(r27609);
        double r27613 = r27611 + r27612;
        double r27614 = r27607 * r27613;
        return r27614;
}

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 2020034 
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))