Average Error: 0.0 → 0.0
Time: 14.1s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)
double f(double d1, double d2, double d3) {
        double r208956 = d1;
        double r208957 = d2;
        double r208958 = r208956 * r208957;
        double r208959 = d3;
        double r208960 = 5.0;
        double r208961 = r208959 + r208960;
        double r208962 = r208961 * r208956;
        double r208963 = r208958 + r208962;
        double r208964 = 32.0;
        double r208965 = r208956 * r208964;
        double r208966 = r208963 + r208965;
        return r208966;
}
↓
double f(double d1, double d2, double d3) {
        double r208967 = d1;
        double r208968 = 32.0;
        double r208969 = d2;
        double r208970 = d3;
        double r208971 = 5.0;
        double r208972 = r208970 + r208971;
        double r208973 = r208969 + r208972;
        double r208974 = r208968 + r208973;
        double r208975 = r208967 * r208974;
        return r208975;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019347 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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