Average Error: 1.2 → 0.2
Time: 5.4s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t) {
	return ((double) (((double) (1.0 / 3.0)) * ((double) acos(((double) (((double) (((double) (3.0 * ((double) (x / ((double) (y * 27.0)))))) / ((double) (z * 2.0)))) * ((double) sqrt(t))))))));
}

↓
double code(double x, double y, double z, double t) {
	return ((double) (1.0 * ((double) (((double) (((double) acos(((double) (((double) (((double) sqrt(t)) / ((double) (y * ((double) (27.0 * ((double) (z * 2.0)))))))) * ((double) (x * 3.0)))))) / ((double) sqrt(3.0)))) / ((double) sqrt(3.0))))));
}

Error
Bits error versus x
Bits error versus y
Bits error versus z
Bits error versus t
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original1.2
Target1.2
Herbie0.2
\[\]
Derivation
  1. Initial program 1.2
    \[\]
  2. Simplified1.2
    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-sqr-sqrt0.3
    \[\leadsto \]
  5. Applied associate-/r*0.2
    \[\leadsto \]
  6. Simplified0.2
    \[\leadsto \]
  7. Final simplification0.2
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(FPCore (x y z t)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, D"
  :precision binary64

  :herbie-target
  (/ (acos (* (/ (/ x 27.0) (* y z)) (/ (sqrt t) (/ 2.0 3.0)))) 3.0)

  (* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)))))