Average Error: 20.7 → 20.3
Time: 14.8s
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) (2.0 * ((double) (((double) sqrt(x)) * ((double) (((double) (((double) cos(y)) * ((double) (((double) cbrt(((double) cos(((double) (z * ((double) (t / 3.0)))))))) * ((double) (((double) cbrt(((double) cos(((double) (z * ((double) (t / 3.0)))))))) * ((double) cbrt(((double) cos(((double) (z * ((double) (t * 0.3333333333333333)))))))))))))) + ((double) (((double) sin(y)) * ((double) (((double) cbrt(((double) sin(((double) (z * ((double) (t / 3.0)))))))) * ((double) (((double) cbrt(((double) sin(((double) (z * ((double) (t / 3.0)))))))) * ((double) cbrt(((double) sin(((double) (z * ((double) (t / 3.0)))))))))))))))))))) - ((double) (a / ((double) (3.0 * b))))));
}

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
Original20.7
Target18.7
Herbie20.3
\[\]
Derivation
  1. Initial program 20.7
    \[\]
  2. Simplified20.7
    \[\leadsto \]
  3. Using strategy rm
  4. Applied cos-diff20.3
    \[\leadsto \]
  5. Using strategy rm
  6. Applied add-cube-cbrt20.3
    \[\leadsto \]
  7. Taylor expanded around inf 20.3
    \[\leadsto \]
  8. Simplified20.3
    \[\leadsto \]
  9. Using strategy rm
  10. Applied add-cube-cbrt20.3
    \[\leadsto \]
  11. Final simplification20.3
    \[\leadsto \]
Reproduce
herbie shell --seed 2020181 
(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))))