Average Error: 0.0 → 0.0
Time: 16.6s
Precision: 64
\[\left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)\]
↓
\[\left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)\]
\left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)
↓
\left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)
double f(double re, double im) {
        double r3006585 = 0.5;
        double r3006586 = re;
        double r3006587 = cos(r3006586);
        double r3006588 = r3006585 * r3006587;
        double r3006589 = im;
        double r3006590 = -r3006589;
        double r3006591 = exp(r3006590);
        double r3006592 = exp(r3006589);
        double r3006593 = r3006591 + r3006592;
        double r3006594 = r3006588 * r3006593;
        return r3006594;
}
↓
double f(double re, double im) {
        double r3006595 = 0.5;
        double r3006596 = re;
        double r3006597 = cos(r3006596);
        double r3006598 = r3006595 * r3006597;
        double r3006599 = im;
        double r3006600 = -r3006599;
        double r3006601 = exp(r3006600);
        double r3006602 = exp(r3006599);
        double r3006603 = r3006601 + r3006602;
        double r3006604 = r3006598 * r3006603;
        return r3006604;
}

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

    \[\left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)\]

  2. Final simplification0.0

    \[\leadsto \left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)\]

Reproduce

herbie shell --seed 2019174 
(FPCore (re im)
  :name "math.cos on complex, real part"
  (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))