Average Error: 0.0 → 0.0
Time: 5.5s
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 r25232 = 0.5;
        double r25233 = re;
        double r25234 = sin(r25233);
        double r25235 = r25232 * r25234;
        double r25236 = 0.0;
        double r25237 = im;
        double r25238 = r25236 - r25237;
        double r25239 = exp(r25238);
        double r25240 = exp(r25237);
        double r25241 = r25239 + r25240;
        double r25242 = r25235 * r25241;
        return r25242;
}
↓
double f(double re, double im) {
        double r25243 = 0.5;
        double r25244 = re;
        double r25245 = sin(r25244);
        double r25246 = r25243 * r25245;
        double r25247 = 0.0;
        double r25248 = im;
        double r25249 = r25247 - r25248;
        double r25250 = exp(r25249);
        double r25251 = exp(r25248);
        double r25252 = r25250 + r25251;
        double r25253 = r25246 * r25252;
        return r25253;
}

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 2020062 
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))