Average Error: 45.5 → 45.5
Time: 4.6s
Precision: binary64
\[\cos \left(\left(2 \cdot z\right) \cdot \left(\sqrt{\left({x}^{2} + {y}^{2}\right) + {z}^{2}} - z\right)\right)\]
↓
\[\cos \left(\left(2 \cdot z\right) \cdot \left(\sqrt{\left({x}^{2} + {y}^{2}\right) + {z}^{2}} - z\right)\right)\]
\cos \left(\left(2 \cdot z\right) \cdot \left(\sqrt{\left({x}^{2} + {y}^{2}\right) + {z}^{2}} - z\right)\right)
↓
\cos \left(\left(2 \cdot z\right) \cdot \left(\sqrt{\left({x}^{2} + {y}^{2}\right) + {z}^{2}} - z\right)\right)
double code(double z, double x, double y) {
	return ((double) cos(((double) (((double) (2.0 * z)) * ((double) (((double) sqrt(((double) (((double) (((double) pow(x, 2.0)) + ((double) pow(y, 2.0)))) + ((double) pow(z, 2.0)))))) - z))))));
}
↓
double code(double z, double x, double y) {
	return ((double) cos(((double) (((double) (2.0 * z)) * ((double) (((double) sqrt(((double) (((double) (((double) pow(x, 2.0)) + ((double) pow(y, 2.0)))) + ((double) pow(z, 2.0)))))) - z))))));
}

Error

Bits error versus z

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 45.5

    \[\cos \left(\left(2 \cdot z\right) \cdot \left(\sqrt{\left({x}^{2} + {y}^{2}\right) + {z}^{2}} - z\right)\right)\]

  2. Final simplification45.5

    \[\leadsto \cos \left(\left(2 \cdot z\right) \cdot \left(\sqrt{\left({x}^{2} + {y}^{2}\right) + {z}^{2}} - z\right)\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (z x y)
  :name "(cos (* (* 2 z) (- (sqrt (+ (+ (pow x 2) (pow y 2)) (pow z 2))) z)))"
  :precision binary64
  (cos (* (* 2.0 z) (- (sqrt (+ (+ (pow x 2.0) (pow y 2.0)) (pow z 2.0))) z))))