Average Error: 0.0 → 0.0
Time: 9.3s
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 r226237 = d1;
        double r226238 = d2;
        double r226239 = r226237 * r226238;
        double r226240 = d3;
        double r226241 = 5.0;
        double r226242 = r226240 + r226241;
        double r226243 = r226242 * r226237;
        double r226244 = r226239 + r226243;
        double r226245 = 32.0;
        double r226246 = r226237 * r226245;
        double r226247 = r226244 + r226246;
        return r226247;
}
↓
double f(double d1, double d2, double d3) {
        double r226248 = d1;
        double r226249 = d3;
        double r226250 = 5.0;
        double r226251 = r226249 + r226250;
        double r226252 = 32.0;
        double r226253 = r226251 + r226252;
        double r226254 = d2;
        double r226255 = r226253 + r226254;
        double r226256 = r226248 * r226255;
        return r226256;
}

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 2019198 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37.0 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0)))