Average Error: 0.0 → 0.0
Time: 5.8s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)
double f(double d1, double d2, double d3) {
        double r256039 = d1;
        double r256040 = d2;
        double r256041 = r256039 * r256040;
        double r256042 = d3;
        double r256043 = 5.0;
        double r256044 = r256042 + r256043;
        double r256045 = r256044 * r256039;
        double r256046 = r256041 + r256045;
        double r256047 = 32.0;
        double r256048 = r256039 * r256047;
        double r256049 = r256046 + r256048;
        return r256049;
}
↓
double f(double d1, double d2, double d3) {
        double r256050 = d1;
        double r256051 = 32.0;
        double r256052 = d2;
        double r256053 = d3;
        double r256054 = 5.0;
        double r256055 = r256053 + r256054;
        double r256056 = r256052 + r256055;
        double r256057 = r256051 + r256056;
        double r256058 = r256050 * r256057;
        return r256058;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2020046 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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