Average Error: 0.0 → 0.0
Time: 10.2s
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 r384027 = d1;
        double r384028 = d2;
        double r384029 = r384027 * r384028;
        double r384030 = d3;
        double r384031 = 5.0;
        double r384032 = r384030 + r384031;
        double r384033 = r384032 * r384027;
        double r384034 = r384029 + r384033;
        double r384035 = 32.0;
        double r384036 = r384027 * r384035;
        double r384037 = r384034 + r384036;
        return r384037;
}
↓
double f(double d1, double d2, double d3) {
        double r384038 = d1;
        double r384039 = 32.0;
        double r384040 = d2;
        double r384041 = d3;
        double r384042 = 5.0;
        double r384043 = r384041 + r384042;
        double r384044 = r384040 + r384043;
        double r384045 = r384039 + r384044;
        double r384046 = r384038 * r384045;
        return r384046;
}

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 2019350 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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