Average Error: 0.0 → 0.0
Time: 17.5s
Precision: 64
\[\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1\]
↓
\[d1 \cdot \left(\left(d2 + d4\right) - \left(d1 + d3\right)\right)\]
\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1
↓
d1 \cdot \left(\left(d2 + d4\right) - \left(d1 + d3\right)\right)
double f(double d1, double d2, double d3, double d4) {
        double r8713294 = d1;
        double r8713295 = d2;
        double r8713296 = r8713294 * r8713295;
        double r8713297 = d3;
        double r8713298 = r8713294 * r8713297;
        double r8713299 = r8713296 - r8713298;
        double r8713300 = d4;
        double r8713301 = r8713300 * r8713294;
        double r8713302 = r8713299 + r8713301;
        double r8713303 = r8713294 * r8713294;
        double r8713304 = r8713302 - r8713303;
        return r8713304;
}
↓
double f(double d1, double d2, double d3, double d4) {
        double r8713305 = d1;
        double r8713306 = d2;
        double r8713307 = d4;
        double r8713308 = r8713306 + r8713307;
        double r8713309 = d3;
        double r8713310 = r8713305 + r8713309;
        double r8713311 = r8713308 - r8713310;
        double r8713312 = r8713305 * r8713311;
        return r8713312;
}

Error

Bits error versus d1

Bits error versus d2

Bits error versus d3

Bits error versus d4

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[d1 \cdot \left(\left(\left(d2 - d3\right) + d4\right) - d1\right)\]

Derivation

  1. Initial program 0.0

    \[\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1\]

  2. Simplified0.0

    \[\leadsto \color{blue}{d1 \cdot \left(\left(d2 + d4\right) - \left(d1 + d3\right)\right)}\]

  3. Final simplification0.0

    \[\leadsto d1 \cdot \left(\left(d2 + d4\right) - \left(d1 + d3\right)\right)\]

Reproduce

herbie shell --seed 2019144 +o rules:numerics
(FPCore (d1 d2 d3 d4)
  :name "FastMath dist4"

  :herbie-target
  (* d1 (- (+ (- d2 d3) d4) d1))

  (- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1)))