Average Error: 0.0 → 0.0
Time: 4.7s
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 r21297 = 0.5;
        double r21298 = re;
        double r21299 = sin(r21298);
        double r21300 = r21297 * r21299;
        double r21301 = 0.0;
        double r21302 = im;
        double r21303 = r21301 - r21302;
        double r21304 = exp(r21303);
        double r21305 = exp(r21302);
        double r21306 = r21304 + r21305;
        double r21307 = r21300 * r21306;
        return r21307;
}
↓
double f(double re, double im) {
        double r21308 = 0.5;
        double r21309 = re;
        double r21310 = sin(r21309);
        double r21311 = r21308 * r21310;
        double r21312 = 0.0;
        double r21313 = im;
        double r21314 = r21312 - r21313;
        double r21315 = exp(r21314);
        double r21316 = exp(r21313);
        double r21317 = r21315 + r21316;
        double r21318 = r21311 * r21317;
        return r21318;
}

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 2019346 
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))