Average Error: 0.0 → 0.0
Time: 16.0s
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 r14687 = 0.5;
        double r14688 = re;
        double r14689 = sin(r14688);
        double r14690 = r14687 * r14689;
        double r14691 = 0.0;
        double r14692 = im;
        double r14693 = r14691 - r14692;
        double r14694 = exp(r14693);
        double r14695 = exp(r14692);
        double r14696 = r14694 + r14695;
        double r14697 = r14690 * r14696;
        return r14697;
}
↓
double f(double re, double im) {
        double r14698 = 0.5;
        double r14699 = re;
        double r14700 = sin(r14699);
        double r14701 = r14698 * r14700;
        double r14702 = 0.0;
        double r14703 = im;
        double r14704 = r14702 - r14703;
        double r14705 = exp(r14704);
        double r14706 = exp(r14703);
        double r14707 = r14705 + r14706;
        double r14708 = r14701 * r14707;
        return r14708;
}

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 2019194 
(FPCore (re im)
  :name "math.sin on complex, real part"
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))