Average Error: 0.0 → 0.0
Time: 9.3s
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 r8976295 = d1;
        double r8976296 = d2;
        double r8976297 = r8976295 * r8976296;
        double r8976298 = d3;
        double r8976299 = 5.0;
        double r8976300 = r8976298 + r8976299;
        double r8976301 = r8976300 * r8976295;
        double r8976302 = r8976297 + r8976301;
        double r8976303 = 32.0;
        double r8976304 = r8976295 * r8976303;
        double r8976305 = r8976302 + r8976304;
        return r8976305;
}
↓
double f(double d1, double d2, double d3) {
        double r8976306 = 32.0;
        double r8976307 = d3;
        double r8976308 = d2;
        double r8976309 = r8976307 + r8976308;
        double r8976310 = r8976306 + r8976309;
        double r8976311 = 5.0;
        double r8976312 = r8976310 + r8976311;
        double r8976313 = d1;
        double r8976314 = r8976312 * r8976313;
        return r8976314;
}

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)))