Average Error: 0.0 → 0.0
Time: 8.5s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(32 + d2\right) + \left(d3 + 5\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(32 + d2\right) + \left(d3 + 5\right)\right)
double f(double d1, double d2, double d3) {
        double r184046 = d1;
        double r184047 = d2;
        double r184048 = r184046 * r184047;
        double r184049 = d3;
        double r184050 = 5.0;
        double r184051 = r184049 + r184050;
        double r184052 = r184051 * r184046;
        double r184053 = r184048 + r184052;
        double r184054 = 32.0;
        double r184055 = r184046 * r184054;
        double r184056 = r184053 + r184055;
        return r184056;
}
↓
double f(double d1, double d2, double d3) {
        double r184057 = d1;
        double r184058 = 32.0;
        double r184059 = d2;
        double r184060 = r184058 + r184059;
        double r184061 = d3;
        double r184062 = 5.0;
        double r184063 = r184061 + r184062;
        double r184064 = r184060 + r184063;
        double r184065 = r184057 * r184064;
        return r184065;
}

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. Using strategy rm

  4. Applied associate-+r+0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019325 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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