Average Error: 0.0 → 0.0
Time: 20.0s
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 r51951291 = d1;
        double r51951292 = d2;
        double r51951293 = r51951291 * r51951292;
        double r51951294 = d3;
        double r51951295 = r51951291 * r51951294;
        double r51951296 = r51951293 - r51951295;
        double r51951297 = d4;
        double r51951298 = r51951297 * r51951291;
        double r51951299 = r51951296 + r51951298;
        double r51951300 = r51951291 * r51951291;
        double r51951301 = r51951299 - r51951300;
        return r51951301;
}
↓
double f(double d1, double d2, double d3, double d4) {
        double r51951302 = d1;
        double r51951303 = d2;
        double r51951304 = d4;
        double r51951305 = r51951303 + r51951304;
        double r51951306 = d3;
        double r51951307 = r51951302 + r51951306;
        double r51951308 = r51951305 - r51951307;
        double r51951309 = r51951302 * r51951308;
        return r51951309;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019120 
(FPCore (d1 d2 d3 d4)
  :name "FastMath dist4"

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

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