Average Error: 0.0 → 0.0
Time: 6.3s
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 r180942 = d1;
        double r180943 = d2;
        double r180944 = r180942 * r180943;
        double r180945 = d3;
        double r180946 = 5.0;
        double r180947 = r180945 + r180946;
        double r180948 = r180947 * r180942;
        double r180949 = r180944 + r180948;
        double r180950 = 32.0;
        double r180951 = r180942 * r180950;
        double r180952 = r180949 + r180951;
        return r180952;
}
↓
double f(double d1, double d2, double d3) {
        double r180953 = d1;
        double r180954 = d2;
        double r180955 = d3;
        double r180956 = 5.0;
        double r180957 = r180955 + r180956;
        double r180958 = 32.0;
        double r180959 = r180957 + r180958;
        double r180960 = r180954 + r180959;
        double r180961 = r180953 * r180960;
        return r180961;
}

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 2019308 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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