Average Error: 0.0 → 0.0
Time: 9.0s
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 r231099 = d1;
        double r231100 = d2;
        double r231101 = r231099 * r231100;
        double r231102 = d3;
        double r231103 = 5.0;
        double r231104 = r231102 + r231103;
        double r231105 = r231104 * r231099;
        double r231106 = r231101 + r231105;
        double r231107 = 32.0;
        double r231108 = r231099 * r231107;
        double r231109 = r231106 + r231108;
        return r231109;
}
↓
double f(double d1, double d2, double d3) {
        double r231110 = d1;
        double r231111 = d3;
        double r231112 = 5.0;
        double r231113 = r231111 + r231112;
        double r231114 = 32.0;
        double r231115 = r231113 + r231114;
        double r231116 = d2;
        double r231117 = r231115 + r231116;
        double r231118 = r231110 * r231117;
        return r231118;
}

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)))