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 r25222 = 0.5;
        double r25223 = re;
        double r25224 = sin(r25223);
        double r25225 = r25222 * r25224;
        double r25226 = 0.0;
        double r25227 = im;
        double r25228 = r25226 - r25227;
        double r25229 = exp(r25228);
        double r25230 = exp(r25227);
        double r25231 = r25229 + r25230;
        double r25232 = r25225 * r25231;
        return r25232;
}
↓
double f(double re, double im) {
        double r25233 = 0.5;
        double r25234 = re;
        double r25235 = sin(r25234);
        double r25236 = r25233 * r25235;
        double r25237 = 0.0;
        double r25238 = im;
        double r25239 = r25237 - r25238;
        double r25240 = exp(r25239);
        double r25241 = exp(r25238);
        double r25242 = r25240 + r25241;
        double r25243 = r25236 * r25242;
        return r25243;
}

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))))