Average Error: 46.6 → 44.4
Time: 16.7s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t, double a, double b) {
	return ((double) (((double) (x * ((double) cos(((double) (((double) (((double) (((double) (((double) (y * 2.0)) + 1.0)) * z)) * t)) / 16.0)))))) * ((double) cos(((double) (((double) (((double) (((double) (((double) (a * 2.0)) + 1.0)) * b)) * t)) / 16.0))))));
}

↓
double code(double x, double y, double z, double t, double a, double b) {
	return x;
}

Error
Bits error versus x
Bits error versus y
Bits error versus z
Bits error versus t
Bits error versus a
Bits error versus b
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original46.6
Target44.7
Herbie44.4
\[\]
Derivation
  1. Initial program 46.6
    \[\]
  2. Simplified46.3
    \[\leadsto \]
  3. Taylor expanded around 0 45.8
    \[\leadsto \]
  4. Taylor expanded around 0 44.4
    \[\leadsto \]
  5. Final simplification44.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(FPCore (x y z t a b)
  :name "Codec.Picture.Jpg.FastDct:referenceDct from JuicyPixels-3.2.6.1"
  :precision binary64

  :herbie-target
  (* x (cos (* (/ b 16.0) (/ t (+ (- 1.0 (* a 2.0)) (pow (* a 2.0) 2.0))))))

  (* (* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))))