Average Error: 0.0 → 0.0
Time: 10.3s
Precision: 64
\[\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1\]
↓
\[d1 \cdot \left(\left(d2 - d3\right) + \left(d4 - d1\right)\right)\]
\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1
↓
d1 \cdot \left(\left(d2 - d3\right) + \left(d4 - d1\right)\right)
double f(double d1, double d2, double d3, double d4) {
        double r319198 = d1;
        double r319199 = d2;
        double r319200 = r319198 * r319199;
        double r319201 = d3;
        double r319202 = r319198 * r319201;
        double r319203 = r319200 - r319202;
        double r319204 = d4;
        double r319205 = r319204 * r319198;
        double r319206 = r319203 + r319205;
        double r319207 = r319198 * r319198;
        double r319208 = r319206 - r319207;
        return r319208;
}
↓
double f(double d1, double d2, double d3, double d4) {
        double r319209 = d1;
        double r319210 = d2;
        double r319211 = d3;
        double r319212 = r319210 - r319211;
        double r319213 = d4;
        double r319214 = r319213 - r319209;
        double r319215 = r319212 + r319214;
        double r319216 = r319209 * r319215;
        return r319216;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019322 
(FPCore (d1 d2 d3 d4)
  :name "FastMath dist4"
  :precision binary64

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

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