Average Error: 0.0 → 0.0
Time: 2.5s
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 r279943 = d1;
        double r279944 = d2;
        double r279945 = r279943 * r279944;
        double r279946 = d3;
        double r279947 = 5.0;
        double r279948 = r279946 + r279947;
        double r279949 = r279948 * r279943;
        double r279950 = r279945 + r279949;
        double r279951 = 32.0;
        double r279952 = r279943 * r279951;
        double r279953 = r279950 + r279952;
        return r279953;
}
↓
double f(double d1, double d2, double d3) {
        double r279954 = d1;
        double r279955 = d2;
        double r279956 = d3;
        double r279957 = 5.0;
        double r279958 = r279956 + r279957;
        double r279959 = 32.0;
        double r279960 = r279958 + r279959;
        double r279961 = r279955 + r279960;
        double r279962 = r279954 * r279961;
        return r279962;
}

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 2020060 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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