Average Error: 0.0 → 0.0
Time: 4.0s
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 r20063 = 0.5;
        double r20064 = re;
        double r20065 = sin(r20064);
        double r20066 = r20063 * r20065;
        double r20067 = 0.0;
        double r20068 = im;
        double r20069 = r20067 - r20068;
        double r20070 = exp(r20069);
        double r20071 = exp(r20068);
        double r20072 = r20070 + r20071;
        double r20073 = r20066 * r20072;
        return r20073;
}
↓
double f(double re, double im) {
        double r20074 = 0.5;
        double r20075 = re;
        double r20076 = sin(r20075);
        double r20077 = r20074 * r20076;
        double r20078 = 0.0;
        double r20079 = im;
        double r20080 = r20078 - r20079;
        double r20081 = exp(r20080);
        double r20082 = exp(r20079);
        double r20083 = r20081 + r20082;
        double r20084 = r20077 * r20083;
        return r20084;
}

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 2020059 +o rules:numerics
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))