Average Error: 0.0 → 0.0
Time: 7.4s
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 r243062 = d1;
        double r243063 = d2;
        double r243064 = r243062 * r243063;
        double r243065 = d3;
        double r243066 = 5.0;
        double r243067 = r243065 + r243066;
        double r243068 = r243067 * r243062;
        double r243069 = r243064 + r243068;
        double r243070 = 32.0;
        double r243071 = r243062 * r243070;
        double r243072 = r243069 + r243071;
        return r243072;
}
↓
double f(double d1, double d2, double d3) {
        double r243073 = d1;
        double r243074 = d3;
        double r243075 = 5.0;
        double r243076 = r243074 + r243075;
        double r243077 = 32.0;
        double r243078 = r243076 + r243077;
        double r243079 = d2;
        double r243080 = r243078 + r243079;
        double r243081 = r243073 * r243080;
        return r243081;
}

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 2020046 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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