Average Error: 0.0 → 0.0
Time: 8.2s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)
double f(double d1, double d2, double d3) {
        double r269977 = d1;
        double r269978 = d2;
        double r269979 = r269977 * r269978;
        double r269980 = d3;
        double r269981 = 5.0;
        double r269982 = r269980 + r269981;
        double r269983 = r269982 * r269977;
        double r269984 = r269979 + r269983;
        double r269985 = 32.0;
        double r269986 = r269977 * r269985;
        double r269987 = r269984 + r269986;
        return r269987;
}
↓
double f(double d1, double d2, double d3) {
        double r269988 = d1;
        double r269989 = d3;
        double r269990 = 5.0;
        double r269991 = r269989 + r269990;
        double r269992 = 32.0;
        double r269993 = r269991 + r269992;
        double r269994 = d2;
        double r269995 = r269993 + r269994;
        double r269996 = r269988 * r269995;
        return r269996;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020047 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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