Average Error: 0.0 → 0.0
Time: 4.1s
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 r23013 = 0.5;
        double r23014 = re;
        double r23015 = sin(r23014);
        double r23016 = r23013 * r23015;
        double r23017 = 0.0;
        double r23018 = im;
        double r23019 = r23017 - r23018;
        double r23020 = exp(r23019);
        double r23021 = exp(r23018);
        double r23022 = r23020 + r23021;
        double r23023 = r23016 * r23022;
        return r23023;
}
↓
double f(double re, double im) {
        double r23024 = 0.5;
        double r23025 = re;
        double r23026 = sin(r23025);
        double r23027 = r23024 * r23026;
        double r23028 = 0.0;
        double r23029 = im;
        double r23030 = r23028 - r23029;
        double r23031 = exp(r23030);
        double r23032 = exp(r23029);
        double r23033 = r23031 + r23032;
        double r23034 = r23027 * r23033;
        return r23034;
}

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 2020021 
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))