Average Error: 0.0 → 0.0
Time: 12.2s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d2 + \left(\left(d3 + 5\right) + 32\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d2 + \left(\left(d3 + 5\right) + 32\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r255965 = d1;
        double r255966 = d2;
        double r255967 = r255965 * r255966;
        double r255968 = d3;
        double r255969 = 5.0;
        double r255970 = r255968 + r255969;
        double r255971 = r255970 * r255965;
        double r255972 = r255967 + r255971;
        double r255973 = 32.0;
        double r255974 = r255965 * r255973;
        double r255975 = r255972 + r255974;
        return r255975;
}
↓
double f(double d1, double d2, double d3) {
        double r255976 = d2;
        double r255977 = d3;
        double r255978 = 5.0;
        double r255979 = r255977 + r255978;
        double r255980 = 32.0;
        double r255981 = r255979 + r255980;
        double r255982 = r255976 + r255981;
        double r255983 = d1;
        double r255984 = r255982 * r255983;
        return r255984;
}

Error

Bits error versus d1

Bits error versus d2

Bits error versus d3

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[d1 \cdot \left(\left(37 + d3\right) + d2\right)\]

Derivation

  1. Initial program 0.0

    \[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\left(d2 + \left(\left(d3 + 5\right) + 32\right)\right) \cdot d1}\]

  3. Final simplification0.0

    \[\leadsto \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right) \cdot d1\]

Reproduce

herbie shell --seed 2019323 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

  :herbie-target
  (* d1 (+ (+ 37 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32)))