Average Error: 0.0 → 0.0
Time: 9.7s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(32 + \left(d3 + d2\right)\right) + 5\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(32 + \left(d3 + d2\right)\right) + 5\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r11304952 = d1;
        double r11304953 = d2;
        double r11304954 = r11304952 * r11304953;
        double r11304955 = d3;
        double r11304956 = 5.0;
        double r11304957 = r11304955 + r11304956;
        double r11304958 = r11304957 * r11304952;
        double r11304959 = r11304954 + r11304958;
        double r11304960 = 32.0;
        double r11304961 = r11304952 * r11304960;
        double r11304962 = r11304959 + r11304961;
        return r11304962;
}
↓
double f(double d1, double d2, double d3) {
        double r11304963 = 32.0;
        double r11304964 = d3;
        double r11304965 = d2;
        double r11304966 = r11304964 + r11304965;
        double r11304967 = r11304963 + r11304966;
        double r11304968 = 5.0;
        double r11304969 = r11304967 + r11304968;
        double r11304970 = d1;
        double r11304971 = r11304969 * r11304970;
        return r11304971;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(\left(32 + \left(d2 + d3\right)\right) + 5\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(\left(32 + \left(d3 + d2\right)\right) + 5\right) \cdot d1\]

Reproduce

herbie shell --seed 2019170 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37.0 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0)))