Average Error: 0.0 → 0.0
Time: 8.9s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(d2 + d3\right) + 37\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(d2 + d3\right) + 37\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r10464942 = d1;
        double r10464943 = d2;
        double r10464944 = r10464942 * r10464943;
        double r10464945 = d3;
        double r10464946 = 5.0;
        double r10464947 = r10464945 + r10464946;
        double r10464948 = r10464947 * r10464942;
        double r10464949 = r10464944 + r10464948;
        double r10464950 = 32.0;
        double r10464951 = r10464942 * r10464950;
        double r10464952 = r10464949 + r10464951;
        return r10464952;
}
↓
double f(double d1, double d2, double d3) {
        double r10464953 = d2;
        double r10464954 = d3;
        double r10464955 = r10464953 + r10464954;
        double r10464956 = 37.0;
        double r10464957 = r10464955 + r10464956;
        double r10464958 = d1;
        double r10464959 = r10464957 * r10464958;
        return r10464959;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(\left(d2 + d3\right) + 37\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(\left(d2 + d3\right) + 37\right) \cdot d1\]

Reproduce

herbie shell --seed 2019163 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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