Average Error: 0.0 → 0.0
Time: 18.8s
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 r26152 = 0.5;
        double r26153 = re;
        double r26154 = sin(r26153);
        double r26155 = r26152 * r26154;
        double r26156 = 0.0;
        double r26157 = im;
        double r26158 = r26156 - r26157;
        double r26159 = exp(r26158);
        double r26160 = exp(r26157);
        double r26161 = r26159 + r26160;
        double r26162 = r26155 * r26161;
        return r26162;
}
↓
double f(double re, double im) {
        double r26163 = 0.5;
        double r26164 = re;
        double r26165 = sin(r26164);
        double r26166 = r26163 * r26165;
        double r26167 = 0.0;
        double r26168 = im;
        double r26169 = r26167 - r26168;
        double r26170 = exp(r26169);
        double r26171 = exp(r26168);
        double r26172 = r26170 + r26171;
        double r26173 = r26166 * r26172;
        return r26173;
}

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 2019297 
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))