Average Error: 20.6 → 17.0
Time: 17.1s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t, double a, double b) {
	return ((double) (((double) (((double) (2.0 * ((double) sqrt(x)))) * ((double) cos(((double) (y - ((double) (((double) (z * t)) / 3.0)))))))) - ((double) (a / ((double) (b * 3.0))))));
}

↓
double code(double x, double y, double z, double t, double a, double b) {
	return ((double) (((double) (((double) (2.0 * ((double) sqrt(x)))) * ((double) cos(y)))) - ((double) (((double) (a / b)) / 3.0))));
}

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
Original20.6
Target18.5
Herbie17.0
\[\]
Derivation
  1. Initial program 20.6
    \[\]
  2. Using strategy rm
  3. Applied cos-diff20.1
    \[\leadsto \]
  4. Simplified20.2
    \[\leadsto \]
  5. Simplified20.1
    \[\leadsto \]
  6. Taylor expanded around 0 20.8
    \[\leadsto \]
  7. Taylor expanded around 0 17.0
    \[\leadsto \]
  8. Using strategy rm
  9. Applied associate-/r*17.0
    \[\leadsto \]
  10. Final simplification17.0
    \[\leadsto \]
Reproduce
herbie shell --seed 2020179 
(FPCore (x y z t a b)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, K"
  :precision binary64

  :herbie-target
  (if (< z -1.3793337487235141e+129) (- (* (* 2.0 (sqrt x)) (cos (- (/ 1.0 y) (/ (/ 0.3333333333333333 z) t)))) (/ (/ a 3.0) b)) (if (< z 3.516290613555987e+106) (- (* (* (sqrt x) 2.0) (cos (- y (* (/ t 3.0) z)))) (/ (/ a 3.0) b)) (- (* (cos (- y (/ (/ 0.3333333333333333 z) t))) (* 2.0 (sqrt x))) (/ (/ a b) 3.0))))

  (- (* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0)))) (/ a (* b 3.0))))