Average Error: 0.0 → 0.0
Time: 5.1s
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 r24726 = 0.5;
        double r24727 = re;
        double r24728 = sin(r24727);
        double r24729 = r24726 * r24728;
        double r24730 = 0.0;
        double r24731 = im;
        double r24732 = r24730 - r24731;
        double r24733 = exp(r24732);
        double r24734 = exp(r24731);
        double r24735 = r24733 + r24734;
        double r24736 = r24729 * r24735;
        return r24736;
}
↓
double f(double re, double im) {
        double r24737 = 0.5;
        double r24738 = re;
        double r24739 = sin(r24738);
        double r24740 = r24737 * r24739;
        double r24741 = 0.0;
        double r24742 = im;
        double r24743 = r24741 - r24742;
        double r24744 = exp(r24743);
        double r24745 = exp(r24742);
        double r24746 = r24744 + r24745;
        double r24747 = r24740 * r24746;
        return r24747;
}

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 2020064 
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))