Average Error: 0.0 → 0.0
Time: 9.0s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(d3 + 5\right) + 32\right) \cdot d1 + d2 \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(d3 + 5\right) + 32\right) \cdot d1 + d2 \cdot d1
double f(double d1, double d2, double d3) {
        double r14214207 = d1;
        double r14214208 = d2;
        double r14214209 = r14214207 * r14214208;
        double r14214210 = d3;
        double r14214211 = 5.0;
        double r14214212 = r14214210 + r14214211;
        double r14214213 = r14214212 * r14214207;
        double r14214214 = r14214209 + r14214213;
        double r14214215 = 32.0;
        double r14214216 = r14214207 * r14214215;
        double r14214217 = r14214214 + r14214216;
        return r14214217;
}
↓
double f(double d1, double d2, double d3) {
        double r14214218 = d3;
        double r14214219 = 5.0;
        double r14214220 = r14214218 + r14214219;
        double r14214221 = 32.0;
        double r14214222 = r14214220 + r14214221;
        double r14214223 = d1;
        double r14214224 = r14214222 * r14214223;
        double r14214225 = d2;
        double r14214226 = r14214225 * r14214223;
        double r14214227 = r14214224 + r14214226;
        return r14214227;
}

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. Using strategy rm

  4. Applied distribute-rgt-in0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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