Average Error: 0.0 → 0.0
Time: 1.4s
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 r277105 = d1;
        double r277106 = d2;
        double r277107 = r277105 * r277106;
        double r277108 = d3;
        double r277109 = 5.0;
        double r277110 = r277108 + r277109;
        double r277111 = r277110 * r277105;
        double r277112 = r277107 + r277111;
        double r277113 = 32.0;
        double r277114 = r277105 * r277113;
        double r277115 = r277112 + r277114;
        return r277115;
}
↓
double f(double d1, double d2, double d3) {
        double r277116 = d1;
        double r277117 = d2;
        double r277118 = d3;
        double r277119 = 5.0;
        double r277120 = r277118 + r277119;
        double r277121 = 32.0;
        double r277122 = r277120 + r277121;
        double r277123 = r277117 + r277122;
        double r277124 = r277116 * r277123;
        return r277124;
}

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 2020083 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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