Average Error: 5.8 → 1.3
Time: 18.8s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (((double) (((double) (x * 18.0)) * y)) * z)) * t)) - ((double) (((double) (a * 4.0)) * t)))) + ((double) (b * c)))) - ((double) (((double) (x * 4.0)) * i)))) - ((double) (((double) (j * 27.0)) * k))));
}

↓
double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k) {
	double VAR;
	if (((((double) (((double) (((double) (((double) (((double) (((double) (((double) (x * 18.0)) * y)) * z)) * t)) - ((double) (t * ((double) (a * 4.0)))))) + ((double) (b * c)))) - ((double) (((double) (x * 4.0)) * i)))) <= -inf.0) || !(((double) (((double) (((double) (((double) (((double) (((double) (((double) (x * 18.0)) * y)) * z)) * t)) - ((double) (t * ((double) (a * 4.0)))))) + ((double) (b * c)))) - ((double) (((double) (x * 4.0)) * i)))) <= 6.293357322005936e+285))) {
		VAR = ((double) (((double) (x * ((double) (18.0 * ((double) (y * ((double) (z * t)))))))) + ((double) (((double) (b * c)) - ((double) (((double) (j * ((double) (27.0 * k)))) + ((double) (4.0 * ((double) (((double) (t * a)) + ((double) (x * i))))))))))));
	} else {
		VAR = ((double) (((double) (((double) (((double) (((double) (((double) (((double) (((double) (x * 18.0)) * y)) * z)) * t)) - ((double) (t * ((double) (a * 4.0)))))) + ((double) (b * c)))) - ((double) (((double) (x * 4.0)) * i)))) - ((double) (((double) (((double) (((double) cbrt(j)) * ((double) cbrt(((double) (27.0 * k)))))) * ((double) (((double) cbrt(j)) * ((double) (((double) cbrt(27.0)) * ((double) cbrt(k)))))))) * ((double) cbrt(((double) (j * ((double) (27.0 * k))))))))));
	}
	return VAR;
}

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
Bits error versus c
Bits error versus i
Bits error versus j
Bits error versus k
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original5.8
Target1.6
Herbie1.3
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  (- (+ (- (* (* (* (* x 18.0) y) z) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))  < -inf.0 or 6.29335732200593593e285 <  (- (+ (- (* (* (* (* x 18.0) y) z) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) 
    1. Initial program 47.8
      \[\]
    2. Simplified6.5
      \[\leadsto \]
    if -inf.0 <  (- (+ (- (* (* (* (* x 18.0) y) z) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))  < 6.29335732200593593e285
    1. Initial program 0.4
      \[\]
    2. Using strategy rm
    3. Applied add-cube-cbrt0.6
      \[\leadsto \]
    4. Simplified0.7
      \[\leadsto \]
    5. Simplified0.6
      \[\leadsto \]
    6. Using strategy rm
    7. Applied cbrt-prod0.6
      \[\leadsto \]
    8. Using strategy rm
    9. Applied cbrt-prod0.7
      \[\leadsto \]
    10. Using strategy rm
    11. Applied cbrt-prod0.7
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification1.3
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x y z t a b c i j k)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, E"
  :precision binary64

  :herbie-target
  (if (< t -1.6210815397541398e-69) (- (- (* (* 18.0 t) (* (* x y) z)) (* (+ (* a t) (* i x)) 4.0)) (- (* (* k j) 27.0) (* c b))) (if (< t 165.68027943805222) (+ (- (* (* 18.0 y) (* x (* z t))) (* (+ (* a t) (* i x)) 4.0)) (- (* c b) (* 27.0 (* k j)))) (- (- (* (* 18.0 t) (* (* x y) z)) (* (+ (* a t) (* i x)) 4.0)) (- (* (* k j) 27.0) (* c b)))))

  (- (- (+ (- (* (* (* (* x 18.0) y) z) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k)))