Average Error: 0.0 → 0.4
Time: 5.6s
Precision: binary64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \sqrt[3]{\left(t - 1\right) \cdot a} \cdot \left(\sqrt[3]{\left(t - 1\right) \cdot a} \cdot \sqrt[3]{\left(t - 1\right) \cdot a}\right)\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b
↓
\left(\left(x - \left(y - 1\right) \cdot z\right) - \sqrt[3]{\left(t - 1\right) \cdot a} \cdot \left(\sqrt[3]{\left(t - 1\right) \cdot a} \cdot \sqrt[3]{\left(t - 1\right) \cdot a}\right)\right) + \left(\left(y + t\right) - 2\right) \cdot b
(FPCore (x y z t a b)
 :precision binary64
 (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
↓
(FPCore (x y z t a b)
 :precision binary64
 (+
  (-
   (- x (* (- y 1.0) z))
   (*
    (cbrt (* (- t 1.0) a))
    (* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))))
  (* (- (+ y t) 2.0) b)))
double code(double x, double y, double z, double t, double a, double b) {
	return ((double) (((double) (((double) (x - ((double) (((double) (y - 1.0)) * z)))) - ((double) (((double) (t - 1.0)) * a)))) + ((double) (((double) (((double) (y + t)) - 2.0)) * b))));
}
↓
double code(double x, double y, double z, double t, double a, double b) {
	return ((double) (((double) (((double) (x - ((double) (((double) (y - 1.0)) * z)))) - ((double) (((double) cbrt(((double) (((double) (t - 1.0)) * a)))) * ((double) (((double) cbrt(((double) (((double) (t - 1.0)) * a)))) * ((double) cbrt(((double) (((double) (t - 1.0)) * a)))))))))) + ((double) (((double) (((double) (y + t)) - 2.0)) * b))));
}

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

Derivation

  1. Initial program 0.0

    \[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
  2. Using strategy rm

  3. Applied add-cube-cbrt_binary640.4

    \[\leadsto \left(\left(x - \left(y - 1\right) \cdot z\right) - \color{blue}{\left(\sqrt[3]{\left(t - 1\right) \cdot a} \cdot \sqrt[3]{\left(t - 1\right) \cdot a}\right) \cdot \sqrt[3]{\left(t - 1\right) \cdot a}}\right) + \left(\left(y + t\right) - 2\right) \cdot b\]

  4. Final simplification0.4

    \[\leadsto \left(\left(x - \left(y - 1\right) \cdot z\right) - \sqrt[3]{\left(t - 1\right) \cdot a} \cdot \left(\sqrt[3]{\left(t - 1\right) \cdot a} \cdot \sqrt[3]{\left(t - 1\right) \cdot a}\right)\right) + \left(\left(y + t\right) - 2\right) \cdot b\]

Reproduce

herbie shell --seed 2020205 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  :precision binary64
  (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))