Average Error: 0.0 → 0.0
Time: 6.0s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)
double f(double d1, double d2, double d3) {
        double r122206 = d1;
        double r122207 = d2;
        double r122208 = r122206 * r122207;
        double r122209 = d3;
        double r122210 = 5.0;
        double r122211 = r122209 + r122210;
        double r122212 = r122211 * r122206;
        double r122213 = r122208 + r122212;
        double r122214 = 32.0;
        double r122215 = r122206 * r122214;
        double r122216 = r122213 + r122215;
        return r122216;
}
↓
double f(double d1, double d2, double d3) {
        double r122217 = d1;
        double r122218 = d2;
        double r122219 = d3;
        double r122220 = 5.0;
        double r122221 = r122219 + r122220;
        double r122222 = 32.0;
        double r122223 = r122221 + r122222;
        double r122224 = r122218 + r122223;
        double r122225 = r122217 * r122224;
        return r122225;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019303 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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