Average Error: 6.5 → 1.7
Time: 18.3s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z, double t, double a, double b, double c, double i) {
	return ((double) (2.0 * ((double) (((double) (((double) (x * y)) + ((double) (z * t)))) - ((double) (((double) (((double) (a + ((double) (b * c)))) * c)) * i))))));
}
double code(double x, double y, double z, double t, double a, double b, double c, double i) {
	double VAR;
	if (((i <= -1.1955248445951819e-27) || !(i <= 3.199258599779804e+105))) {
		VAR = ((double) (2.0 * ((double) (((double) (((double) (x * y)) + ((double) (z * t)))) - ((double) (i * ((double) (c * ((double) (a + ((double) (b * c))))))))))));
	} else {
		VAR = ((double) (2.0 * ((double) (((double) (x * y)) + ((double) (((double) (z * t)) - ((double) (c * ((double) (i * ((double) (a + ((double) (b * c))))))))))))));
	}
	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

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original6.5
Target1.9
Herbie1.7
\[\]

Derivation

  1. Split input into 2 regimes
  2. if i < -1.1955248445951819e-27 or 3.1992585997798039e105 < i

    1. Initial program 0.9

      \[\]

    if -1.1955248445951819e-27 < i < 3.1992585997798039e105

    1. Initial program 9.3

      \[\]
    2. Simplified2.0

      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification1.7

    \[\leadsto \]

Reproduce

herbie shell --seed 2020180 
(FPCore (x y z t a b c i)
  :name "Diagrams.ThreeD.Shapes:frustum from diagrams-lib-1.3.0.3, A"
  :precision binary64

  :herbie-target
  (* 2.0 (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))

  (* 2.0 (- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))))