Average Error: 0.0 → 0.0
Time: 10.2s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d2 + \left(37 + d3\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d2 + \left(37 + d3\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r6315998 = d1;
        double r6315999 = d2;
        double r6316000 = r6315998 * r6315999;
        double r6316001 = d3;
        double r6316002 = 5.0;
        double r6316003 = r6316001 + r6316002;
        double r6316004 = r6316003 * r6315998;
        double r6316005 = r6316000 + r6316004;
        double r6316006 = 32.0;
        double r6316007 = r6315998 * r6316006;
        double r6316008 = r6316005 + r6316007;
        return r6316008;
}
↓
double f(double d1, double d2, double d3) {
        double r6316009 = d2;
        double r6316010 = 37.0;
        double r6316011 = d3;
        double r6316012 = r6316010 + r6316011;
        double r6316013 = r6316009 + r6316012;
        double r6316014 = d1;
        double r6316015 = r6316013 * r6316014;
        return r6316015;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(d2 + \left(d3 + 37\right)\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(d2 + \left(37 + d3\right)\right) \cdot d1\]

Reproduce

herbie shell --seed 2019128 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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