Average Error: 0.0 → 0.0
Time: 1.3s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)
double f(double d1, double d2, double d3) {
        double r446982 = d1;
        double r446983 = d2;
        double r446984 = r446982 * r446983;
        double r446985 = d3;
        double r446986 = 5.0;
        double r446987 = r446985 + r446986;
        double r446988 = r446987 * r446982;
        double r446989 = r446984 + r446988;
        double r446990 = 32.0;
        double r446991 = r446982 * r446990;
        double r446992 = r446989 + r446991;
        return r446992;
}
↓
double f(double d1, double d2, double d3) {
        double r446993 = d1;
        double r446994 = d2;
        double r446995 = d3;
        double r446996 = 5.0;
        double r446997 = r446995 + r446996;
        double r446998 = 32.0;
        double r446999 = r446997 + r446998;
        double r447000 = r446994 + r446999;
        double r447001 = r446993 * r447000;
        return r447001;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020001 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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