Average Error: 32.4 → 32.4
Time: 2.6s
Precision: binary64
\[\frac{\left(\left(9 \cdot {a}^{2}\right) \cdot d - \left(\left(4 \cdot a\right) \cdot b\right) \cdot c\right) + {b}^{3}}{a \cdot disc}\]
↓
\[\frac{\left(\left(9 \cdot {a}^{2}\right) \cdot d - \left(\left(4 \cdot a\right) \cdot b\right) \cdot c\right) + {b}^{3}}{a \cdot disc}\]
\frac{\left(\left(9 \cdot {a}^{2}\right) \cdot d - \left(\left(4 \cdot a\right) \cdot b\right) \cdot c\right) + {b}^{3}}{a \cdot disc}
↓
\frac{\left(\left(9 \cdot {a}^{2}\right) \cdot d - \left(\left(4 \cdot a\right) \cdot b\right) \cdot c\right) + {b}^{3}}{a \cdot disc}
double code(double a, double d, double b, double c, double disc) {
	return ((double) (((double) (((double) (((double) (((double) (9.0 * ((double) pow(a, 2.0)))) * d)) - ((double) (((double) (((double) (4.0 * a)) * b)) * c)))) + ((double) pow(b, 3.0)))) / ((double) (a * disc))));
}
↓
double code(double a, double d, double b, double c, double disc) {
	return ((double) (((double) (((double) (((double) (((double) (9.0 * ((double) pow(a, 2.0)))) * d)) - ((double) (((double) (((double) (4.0 * a)) * b)) * c)))) + ((double) pow(b, 3.0)))) / ((double) (a * disc))));
}

Error

Bits error versus a

Bits error versus d

Bits error versus b

Bits error versus c

Bits error versus disc

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 32.4

    \[\frac{\left(\left(9 \cdot {a}^{2}\right) \cdot d - \left(\left(4 \cdot a\right) \cdot b\right) \cdot c\right) + {b}^{3}}{a \cdot disc}\]

  2. Final simplification32.4

    \[\leadsto \frac{\left(\left(9 \cdot {a}^{2}\right) \cdot d - \left(\left(4 \cdot a\right) \cdot b\right) \cdot c\right) + {b}^{3}}{a \cdot disc}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a d b c disc)
  :name "(/ (+ (- (* (* 9 (pow a 2)) d) (* (* (* 4 a) b) c)) (pow b 3)) (* a disc))"
  :precision binary64
  (/ (+ (- (* (* 9.0 (pow a 2.0)) d) (* (* (* 4.0 a) b) c)) (pow b 3.0)) (* a disc)))