Average Error: 0.0 → 0.0
Time: 2.2s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot d2 + d1 \cdot \left(\left(d3 + 5\right) + 32\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot d2 + d1 \cdot \left(\left(d3 + 5\right) + 32\right)
double f(double d1, double d2, double d3) {
        double r409112 = d1;
        double r409113 = d2;
        double r409114 = r409112 * r409113;
        double r409115 = d3;
        double r409116 = 5.0;
        double r409117 = r409115 + r409116;
        double r409118 = r409117 * r409112;
        double r409119 = r409114 + r409118;
        double r409120 = 32.0;
        double r409121 = r409112 * r409120;
        double r409122 = r409119 + r409121;
        return r409122;
}
↓
double f(double d1, double d2, double d3) {
        double r409123 = d1;
        double r409124 = d2;
        double r409125 = r409123 * r409124;
        double r409126 = d3;
        double r409127 = 5.0;
        double r409128 = r409126 + r409127;
        double r409129 = 32.0;
        double r409130 = r409128 + r409129;
        double r409131 = r409123 * r409130;
        double r409132 = r409125 + r409131;
        return r409132;
}

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. Using strategy rm

  4. Applied distribute-lft-in0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2020034 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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