Average Error: 0.0 → 0.0
Time: 14.9s
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 r14503 = 0.5;
        double r14504 = re;
        double r14505 = sin(r14504);
        double r14506 = r14503 * r14505;
        double r14507 = 0.0;
        double r14508 = im;
        double r14509 = r14507 - r14508;
        double r14510 = exp(r14509);
        double r14511 = exp(r14508);
        double r14512 = r14510 + r14511;
        double r14513 = r14506 * r14512;
        return r14513;
}
↓
double f(double re, double im) {
        double r14514 = 0.5;
        double r14515 = re;
        double r14516 = sin(r14515);
        double r14517 = r14514 * r14516;
        double r14518 = 0.0;
        double r14519 = im;
        double r14520 = r14518 - r14519;
        double r14521 = exp(r14520);
        double r14522 = exp(r14519);
        double r14523 = r14521 + r14522;
        double r14524 = r14517 * r14523;
        return r14524;
}

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