Average Error: 0.0 → 0.0
Time: 4.6s
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 r26766 = 0.5;
        double r26767 = re;
        double r26768 = sin(r26767);
        double r26769 = r26766 * r26768;
        double r26770 = 0.0;
        double r26771 = im;
        double r26772 = r26770 - r26771;
        double r26773 = exp(r26772);
        double r26774 = exp(r26771);
        double r26775 = r26773 + r26774;
        double r26776 = r26769 * r26775;
        return r26776;
}
↓
double f(double re, double im) {
        double r26777 = 0.5;
        double r26778 = re;
        double r26779 = sin(r26778);
        double r26780 = r26777 * r26779;
        double r26781 = 0.0;
        double r26782 = im;
        double r26783 = r26781 - r26782;
        double r26784 = exp(r26783);
        double r26785 = exp(r26782);
        double r26786 = r26784 + r26785;
        double r26787 = r26780 * r26786;
        return r26787;
}

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 2020056 
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))