Average Error: 0.0 → 0.0
Time: 1.8s
Precision: 64
\[x - \left(y \cdot 4\right) \cdot z\]
↓
\[x - y \cdot \left(4 \cdot z\right)\]
x - \left(y \cdot 4\right) \cdot z
↓
x - y \cdot \left(4 \cdot z\right)
double f(double x, double y, double z) {
        double r216379 = x;
        double r216380 = y;
        double r216381 = 4.0;
        double r216382 = r216380 * r216381;
        double r216383 = z;
        double r216384 = r216382 * r216383;
        double r216385 = r216379 - r216384;
        return r216385;
}
↓
double f(double x, double y, double z) {
        double r216386 = x;
        double r216387 = y;
        double r216388 = 4.0;
        double r216389 = z;
        double r216390 = r216388 * r216389;
        double r216391 = r216387 * r216390;
        double r216392 = r216386 - r216391;
        return r216392;
}

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. Using strategy rm

  3. Applied associate-*l*0.0

    \[\leadsto x - \color{blue}{y \cdot \left(4 \cdot z\right)}\]

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2020057 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (* y 4) z)))