Average Error: 20.8 → 17.4
Time: 13.7s
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) cos(y)) * ((double) (2.0 * ((double) sqrt(x)))))) + ((double) (-1.0 / ((double) (3.0 * ((double) (b / a))))))));
}

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
Original20.8
Target18.9
Herbie17.4
\[\]
Derivation
  1. Initial program 20.8
    \[\]
  2. Using strategy rm
  3. Applied cos-diff20.3
    \[\leadsto \]
  4. Applied distribute-lft-in20.3
    \[\leadsto \]
  5. Simplified20.4
    \[\leadsto \]
  6. Simplified20.4
    \[\leadsto \]
  7. Taylor expanded around 0 21.1
    \[\leadsto \]
  8. Taylor expanded around 0 17.3
    \[\leadsto \]
  9. Using strategy rm
  10. Applied clear-num17.4
    \[\leadsto \]
  11. Simplified17.4
    \[\leadsto \]
  12. Final simplification17.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020190 
(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))))