Average Error: 0.0 → 0.0
Time: 1.5s
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 r293951 = d1;
        double r293952 = d2;
        double r293953 = r293951 * r293952;
        double r293954 = d3;
        double r293955 = 5.0;
        double r293956 = r293954 + r293955;
        double r293957 = r293956 * r293951;
        double r293958 = r293953 + r293957;
        double r293959 = 32.0;
        double r293960 = r293951 * r293959;
        double r293961 = r293958 + r293960;
        return r293961;
}
↓
double f(double d1, double d2, double d3) {
        double r293962 = d1;
        double r293963 = d2;
        double r293964 = d3;
        double r293965 = 5.0;
        double r293966 = r293964 + r293965;
        double r293967 = 32.0;
        double r293968 = r293966 + r293967;
        double r293969 = r293963 + r293968;
        double r293970 = r293962 * r293969;
        return r293970;
}

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 2019356 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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