Average Error: 0.1 → 0.1
Time: 12.6s
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 r282971 = x;
        double r282972 = y;
        double r282973 = r282971 + r282972;
        double r282974 = z;
        double r282975 = r282973 + r282974;
        double r282976 = t;
        double r282977 = log(r282976);
        double r282978 = r282974 * r282977;
        double r282979 = r282975 - r282978;
        double r282980 = a;
        double r282981 = 0.5;
        double r282982 = r282980 - r282981;
        double r282983 = b;
        double r282984 = r282982 * r282983;
        double r282985 = r282979 + r282984;
        return r282985;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r282986 = x;
        double r282987 = y;
        double r282988 = r282986 + r282987;
        double r282989 = z;
        double r282990 = r282988 + r282989;
        double r282991 = t;
        double r282992 = log(r282991);
        double r282993 = r282989 * r282992;
        double r282994 = r282990 - r282993;
        double r282995 = a;
        double r282996 = 0.5;
        double r282997 = r282995 - r282996;
        double r282998 = b;
        double r282999 = r282997 * r282998;
        double r283000 = r282994 + r282999;
        return r283000;
}

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 2019308 
(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)))