Average Error: 0.0 → 0.0
Time: 724.0ms
Precision: 64
\[x \cdot x - 1.0\]
↓
\[x \cdot x - 1.0\]
x \cdot x - 1.0
↓
x \cdot x - 1.0
double f(double x) {
        double r10039159 = x;
        double r10039160 = r10039159 * r10039159;
        double r10039161 = 1.0;
        double r10039162 = r10039160 - r10039161;
        return r10039162;
}
↓
double f(double x) {
        double r10039163 = x;
        double r10039164 = r10039163 * r10039163;
        double r10039165 = 1.0;
        double r10039166 = r10039164 - r10039165;
        return r10039166;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x \cdot x - 1.0\]

  2. Final simplification0.0

    \[\leadsto x \cdot x - 1.0\]

Reproduce

herbie shell --seed 2019162 +o rules:numerics
(FPCore (x)
  :name "Data.Random.Dice:roll from dice-0.1"
  (- (* x x) 1.0))