Average Error: 3.6 → 0.7
Time: 6.4s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z, double t, double a, double b) {
	return ((double) (((double) (((double) (x * 2.0)) - ((double) (((double) (((double) (y * 9.0)) * z)) * t)))) + ((double) (((double) (a * 27.0)) * b))));
}
double code(double x, double y, double z, double t, double a, double b) {
	double VAR;
	if (((((double) (((double) (y * 9.0)) * z)) <= -2.1081801183068955e+180) || !(((double) (((double) (y * 9.0)) * z)) <= 4.971058535337396e+162))) {
		VAR = ((double) (((double) (x * 2.0)) + ((double) (((double) (a * ((double) (27.0 * b)))) - ((double) (y * ((double) (((double) (9.0 * z)) * t))))))));
	} else {
		VAR = ((double) (((double) (x * 2.0)) + ((double) (((double) (a * ((double) (27.0 * b)))) - ((double) (t * ((double) (y * ((double) (9.0 * z))))))))));
	}
	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

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original3.6
Target2.7
Herbie0.7
\[\]

Derivation

  1. Split input into 2 regimes
  2. if (* (* y 9.0) z) < -2.10818011830689546e180 or 4.9710585353373958e162 < (* (* y 9.0) z)

    1. Initial program 21.0

      \[\]
    2. Simplified1.5

      \[\leadsto \]
    3. Using strategy rm
    4. Applied associate-*r*1.6

      \[\leadsto \]

    if -2.10818011830689546e180 < (* (* y 9.0) z) < 4.9710585353373958e162

    1. Initial program 0.5

      \[\]
    2. Simplified4.0

      \[\leadsto \]
    3. Using strategy rm
    4. Applied associate-*r*3.9

      \[\leadsto \]
    5. Using strategy rm
    6. Applied associate-*r*0.5

      \[\leadsto \]
    7. Simplified0.5

      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.7

    \[\leadsto \]

Reproduce

herbie shell --seed 2020192 
(FPCore (x y z t a b)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, A"
  :precision binary64

  :herbie-target
  (if (< y 7.590524218811189e-161) (+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b))) (+ (- (* x 2.0) (* 9.0 (* y (* t z)))) (* (* a 27.0) b)))

  (+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b)))