Average Error: 0.0 → 0.0
Time: 7.8s
Precision: 64
\[x - \left(y \cdot 4\right) \cdot z\]
↓
\[x - \left(4 \cdot y\right) \cdot z\]
x - \left(y \cdot 4\right) \cdot z
↓
x - \left(4 \cdot y\right) \cdot z
double f(double x, double y, double z) {
        double r8769071 = x;
        double r8769072 = y;
        double r8769073 = 4.0;
        double r8769074 = r8769072 * r8769073;
        double r8769075 = z;
        double r8769076 = r8769074 * r8769075;
        double r8769077 = r8769071 - r8769076;
        return r8769077;
}
↓
double f(double x, double y, double z) {
        double r8769078 = x;
        double r8769079 = 4.0;
        double r8769080 = y;
        double r8769081 = r8769079 * r8769080;
        double r8769082 = z;
        double r8769083 = r8769081 * r8769082;
        double r8769084 = r8769078 - r8769083;
        return r8769084;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x - \left(y \cdot 4\right) \cdot z\]

  2. Final simplification0.0

    \[\leadsto x - \left(4 \cdot y\right) \cdot z\]

Reproduce

herbie shell --seed 2019179 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  (- x (* (* y 4.0) z)))