Average Error: 0.0 → 0.0
Time: 31.6s
Precision: 64
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)\]
↓
\[\left(\sin re \cdot \left(e^{im} + e^{-im}\right)\right) \cdot 0.5\]
\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)
↓
\left(\sin re \cdot \left(e^{im} + e^{-im}\right)\right) \cdot 0.5
double f(double re, double im) {
        double r1004225 = 0.5;
        double r1004226 = re;
        double r1004227 = sin(r1004226);
        double r1004228 = r1004225 * r1004227;
        double r1004229 = 0.0;
        double r1004230 = im;
        double r1004231 = r1004229 - r1004230;
        double r1004232 = exp(r1004231);
        double r1004233 = exp(r1004230);
        double r1004234 = r1004232 + r1004233;
        double r1004235 = r1004228 * r1004234;
        return r1004235;
}
↓
double f(double re, double im) {
        double r1004236 = re;
        double r1004237 = sin(r1004236);
        double r1004238 = im;
        double r1004239 = exp(r1004238);
        double r1004240 = -r1004238;
        double r1004241 = exp(r1004240);
        double r1004242 = r1004239 + r1004241;
        double r1004243 = r1004237 * r1004242;
        double r1004244 = 0.5;
        double r1004245 = r1004243 * r1004244;
        return r1004245;
}

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. Using strategy rm

  3. Applied associate-*l*0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019107 
(FPCore (re im)
  :name "math.sin on complex, real part"
  (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))))