Average Error: 0.0 → 0.0
Time: 17.6s
Precision: 64
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)\]
↓
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{-im} + e^{im}\right)\]
\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)
↓
\left(0.5 \cdot \sin re\right) \cdot \left(e^{-im} + e^{im}\right)
double f(double re, double im) {
        double r485229 = 0.5;
        double r485230 = re;
        double r485231 = sin(r485230);
        double r485232 = r485229 * r485231;
        double r485233 = 0.0;
        double r485234 = im;
        double r485235 = r485233 - r485234;
        double r485236 = exp(r485235);
        double r485237 = exp(r485234);
        double r485238 = r485236 + r485237;
        double r485239 = r485232 * r485238;
        return r485239;
}
↓
double f(double re, double im) {
        double r485240 = 0.5;
        double r485241 = re;
        double r485242 = sin(r485241);
        double r485243 = r485240 * r485242;
        double r485244 = im;
        double r485245 = -r485244;
        double r485246 = exp(r485245);
        double r485247 = exp(r485244);
        double r485248 = r485246 + r485247;
        double r485249 = r485243 * r485248;
        return r485249;
}

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

    \[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)\]

  2. Final simplification0.0

    \[\leadsto \left(0.5 \cdot \sin re\right) \cdot \left(e^{-im} + e^{im}\right)\]

Reproduce

herbie shell --seed 2019119 
(FPCore (re im)
  :name "math.sin on complex, real part"
  (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))))