Average Error: 0.1 → 0.1
Time: 20.0s
Precision: 64
\[x \cdot \left(1.0 - x \cdot y\right)\]
↓
\[\left(1.0 - x \cdot y\right) \cdot x\]
x \cdot \left(1.0 - x \cdot y\right)
↓
\left(1.0 - x \cdot y\right) \cdot x
double f(double x, double y) {
        double r4660963 = x;
        double r4660964 = 1.0;
        double r4660965 = y;
        double r4660966 = r4660963 * r4660965;
        double r4660967 = r4660964 - r4660966;
        double r4660968 = r4660963 * r4660967;
        return r4660968;
}
↓
double f(double x, double y) {
        double r4660969 = 1.0;
        double r4660970 = x;
        double r4660971 = y;
        double r4660972 = r4660970 * r4660971;
        double r4660973 = r4660969 - r4660972;
        double r4660974 = r4660973 * r4660970;
        return r4660974;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[x \cdot \left(1.0 - x \cdot y\right)\]

  2. Final simplification0.1

    \[\leadsto \left(1.0 - x \cdot y\right) \cdot x\]

Reproduce

herbie shell --seed 2019168 +o rules:numerics
(FPCore (x y)
  :name "Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A"
  (* x (- 1.0 (* x y))))