Average Error: 1.3 → 0.2
Time: 5.3s
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) (((double) (1.0 / ((double) (((double) cbrt(3.0)) * ((double) cbrt(3.0)))))) * ((double) (((double) acos(((double) (((double) (0.05555555555555555 * ((double) (x / ((double) (z * y)))))) * ((double) sqrt(t)))))) * ((double) (1.0 / ((double) cbrt(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
Original1.3
Target1.2
Herbie0.2
\[\]
Derivation
  1. Initial program 1.3
    \[\]
  2. Using strategy rm
  3. Applied add-cube-cbrt1.3
    \[\leadsto \]
  4. Applied *-un-lft-identity1.3
    \[\leadsto \]
  5. Applied times-frac0.4
    \[\leadsto \]
  6. Applied associate-*l*0.4
    \[\leadsto \]
  7. Simplified0.4
    \[\leadsto \]
  8. Taylor expanded around 0 0.2
    \[\leadsto \]
  9. Final simplification0.2
    \[\leadsto \]
Reproduce
herbie shell --seed 2020190 
(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)))))