Average Error: 0.0 → 0.0
Time: 3.6s
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 r159701 = d1;
        double r159702 = d2;
        double r159703 = r159701 * r159702;
        double r159704 = d3;
        double r159705 = 5.0;
        double r159706 = r159704 + r159705;
        double r159707 = r159706 * r159701;
        double r159708 = r159703 + r159707;
        double r159709 = 32.0;
        double r159710 = r159701 * r159709;
        double r159711 = r159708 + r159710;
        return r159711;
}
↓
double f(double d1, double d2, double d3) {
        double r159712 = d1;
        double r159713 = d2;
        double r159714 = r159712 * r159713;
        double r159715 = d3;
        double r159716 = 5.0;
        double r159717 = r159715 + r159716;
        double r159718 = 32.0;
        double r159719 = r159717 + r159718;
        double r159720 = r159712 * r159719;
        double r159721 = r159714 + r159720;
        return r159721;
}

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 2019344 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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