Average Error: 0.0 → 0.0
Time: 3.4s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot d2 + d1 \cdot \left(\left(d3 + 5\right) + 32\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot d2 + d1 \cdot \left(\left(d3 + 5\right) + 32\right)
double f(double d1, double d2, double d3) {
        double r280552 = d1;
        double r280553 = d2;
        double r280554 = r280552 * r280553;
        double r280555 = d3;
        double r280556 = 5.0;
        double r280557 = r280555 + r280556;
        double r280558 = r280557 * r280552;
        double r280559 = r280554 + r280558;
        double r280560 = 32.0;
        double r280561 = r280552 * r280560;
        double r280562 = r280559 + r280561;
        return r280562;
}
↓
double f(double d1, double d2, double d3) {
        double r280563 = d1;
        double r280564 = d2;
        double r280565 = r280563 * r280564;
        double r280566 = d3;
        double r280567 = 5.0;
        double r280568 = r280566 + r280567;
        double r280569 = 32.0;
        double r280570 = r280568 + r280569;
        double r280571 = r280563 * r280570;
        double r280572 = r280565 + r280571;
        return r280572;
}

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. Using strategy rm

  4. Applied distribute-lft-in0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019322 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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