Average Error: 0.1 → 0.1
Time: 9.9s
Precision: 64
\[\left(\left(\left(x + y\right) + z\right) - z \cdot \log t\right) + \left(a - 0.5\right) \cdot b\]
↓
\[\left(\left(\left(x + y\right) + z\right) - z \cdot \log t\right) + \left(a - 0.5\right) \cdot b\]
\left(\left(\left(x + y\right) + z\right) - z \cdot \log t\right) + \left(a - 0.5\right) \cdot b
↓
\left(\left(\left(x + y\right) + z\right) - z \cdot \log t\right) + \left(a - 0.5\right) \cdot b
double f(double x, double y, double z, double t, double a, double b) {
        double r457763 = x;
        double r457764 = y;
        double r457765 = r457763 + r457764;
        double r457766 = z;
        double r457767 = r457765 + r457766;
        double r457768 = t;
        double r457769 = log(r457768);
        double r457770 = r457766 * r457769;
        double r457771 = r457767 - r457770;
        double r457772 = a;
        double r457773 = 0.5;
        double r457774 = r457772 - r457773;
        double r457775 = b;
        double r457776 = r457774 * r457775;
        double r457777 = r457771 + r457776;
        return r457777;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r457778 = x;
        double r457779 = y;
        double r457780 = r457778 + r457779;
        double r457781 = z;
        double r457782 = r457780 + r457781;
        double r457783 = t;
        double r457784 = log(r457783);
        double r457785 = r457781 * r457784;
        double r457786 = r457782 - r457785;
        double r457787 = a;
        double r457788 = 0.5;
        double r457789 = r457787 - r457788;
        double r457790 = b;
        double r457791 = r457789 * r457790;
        double r457792 = r457786 + r457791;
        return r457792;
}

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

Original0.1
Target0.4
Herbie0.1
\[\left(\left(x + y\right) + \frac{\left(1 - {\left(\log t\right)}^{2}\right) \cdot z}{1 + \log t}\right) + \left(a - 0.5\right) \cdot b\]

Derivation

  1. Initial program 0.1

    \[\left(\left(\left(x + y\right) + z\right) - z \cdot \log t\right) + \left(a - 0.5\right) \cdot b\]

  2. Final simplification0.1

    \[\leadsto \left(\left(\left(x + y\right) + z\right) - z \cdot \log t\right) + \left(a - 0.5\right) \cdot b\]

Reproduce

herbie shell --seed 2020047 
(FPCore (x y z t a b)
  :name "Numeric.SpecFunctions:logBeta from math-functions-0.1.5.2, A"
  :precision binary64

  :herbie-target
  (+ (+ (+ x y) (/ (* (- 1 (pow (log t) 2)) z) (+ 1 (log t)))) (* (- a 0.5) b))

  (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b)))