Average Error: 0.1 → 0.1
Time: 24.3s
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 r238122 = x;
        double r238123 = y;
        double r238124 = r238122 + r238123;
        double r238125 = z;
        double r238126 = r238124 + r238125;
        double r238127 = t;
        double r238128 = log(r238127);
        double r238129 = r238125 * r238128;
        double r238130 = r238126 - r238129;
        double r238131 = a;
        double r238132 = 0.5;
        double r238133 = r238131 - r238132;
        double r238134 = b;
        double r238135 = r238133 * r238134;
        double r238136 = r238130 + r238135;
        return r238136;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r238137 = x;
        double r238138 = y;
        double r238139 = r238137 + r238138;
        double r238140 = z;
        double r238141 = r238139 + r238140;
        double r238142 = t;
        double r238143 = log(r238142);
        double r238144 = r238140 * r238143;
        double r238145 = r238141 - r238144;
        double r238146 = a;
        double r238147 = 0.5;
        double r238148 = r238146 - r238147;
        double r238149 = b;
        double r238150 = r238148 * r238149;
        double r238151 = r238145 + r238150;
        return r238151;
}

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 2019304 
(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)))