Average Error: 0.0 → 0.0
Time: 8.8s
Precision: 64
\[\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1\]
↓
\[\left(d4 + \left(d2 - d3\right)\right) \cdot d1 + \left(-d1\right) \cdot d1\]
\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1
↓
\left(d4 + \left(d2 - d3\right)\right) \cdot d1 + \left(-d1\right) \cdot d1
double f(double d1, double d2, double d3, double d4) {
        double r13597175 = d1;
        double r13597176 = d2;
        double r13597177 = r13597175 * r13597176;
        double r13597178 = d3;
        double r13597179 = r13597175 * r13597178;
        double r13597180 = r13597177 - r13597179;
        double r13597181 = d4;
        double r13597182 = r13597181 * r13597175;
        double r13597183 = r13597180 + r13597182;
        double r13597184 = r13597175 * r13597175;
        double r13597185 = r13597183 - r13597184;
        return r13597185;
}
↓
double f(double d1, double d2, double d3, double d4) {
        double r13597186 = d4;
        double r13597187 = d2;
        double r13597188 = d3;
        double r13597189 = r13597187 - r13597188;
        double r13597190 = r13597186 + r13597189;
        double r13597191 = d1;
        double r13597192 = r13597190 * r13597191;
        double r13597193 = -r13597191;
        double r13597194 = r13597193 * r13597191;
        double r13597195 = r13597192 + r13597194;
        return r13597195;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(\left(d4 + \left(d2 - d3\right)\right) - d1\right)}\]
  3. Using strategy rm

  4. Applied sub-neg0.0

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

  5. Applied distribute-rgt-in0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 
(FPCore (d1 d2 d3 d4)
  :name "FastMath dist4"

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

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