Average Error: 0.0 → 0.0
Time: 10.2s
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 r8177937 = d1;
        double r8177938 = d2;
        double r8177939 = r8177937 * r8177938;
        double r8177940 = d3;
        double r8177941 = 5.0;
        double r8177942 = r8177940 + r8177941;
        double r8177943 = r8177942 * r8177937;
        double r8177944 = r8177939 + r8177943;
        double r8177945 = 32.0;
        double r8177946 = r8177937 * r8177945;
        double r8177947 = r8177944 + r8177946;
        return r8177947;
}
↓
double f(double d1, double d2, double d3) {
        double r8177948 = 32.0;
        double r8177949 = d3;
        double r8177950 = d2;
        double r8177951 = r8177949 + r8177950;
        double r8177952 = r8177948 + r8177951;
        double r8177953 = 5.0;
        double r8177954 = r8177952 + r8177953;
        double r8177955 = d1;
        double r8177956 = r8177954 * r8177955;
        return r8177956;
}

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 2019172 +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)))