Average Error: 0.0 → 0.0
Time: 3.3s
Precision: 64
\[\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]
↓
\[\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]
\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x
↓
\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x
double f(double x) {
        double r58964 = 2.30753;
        double r58965 = x;
        double r58966 = 0.27061;
        double r58967 = r58965 * r58966;
        double r58968 = r58964 + r58967;
        double r58969 = 1.0;
        double r58970 = 0.99229;
        double r58971 = 0.04481;
        double r58972 = r58965 * r58971;
        double r58973 = r58970 + r58972;
        double r58974 = r58965 * r58973;
        double r58975 = r58969 + r58974;
        double r58976 = r58968 / r58975;
        double r58977 = r58976 - r58965;
        return r58977;
}
↓
double f(double x) {
        double r58978 = 2.30753;
        double r58979 = x;
        double r58980 = 0.27061;
        double r58981 = r58979 * r58980;
        double r58982 = r58978 + r58981;
        double r58983 = 1.0;
        double r58984 = 0.99229;
        double r58985 = 0.04481;
        double r58986 = r58979 * r58985;
        double r58987 = r58984 + r58986;
        double r58988 = r58979 * r58987;
        double r58989 = r58983 + r58988;
        double r58990 = r58982 / r58989;
        double r58991 = r58990 - r58979;
        return r58991;
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]

  2. Final simplification0.0

    \[\leadsto \frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]

Reproduce

herbie shell --seed 2020033 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C"
  :precision binary64
  (- (/ (+ 2.30753 (* x 0.27061)) (+ 1 (* x (+ 0.99229 (* x 0.04481))))) x))