Average Error: 0.0 → 0.0
Time: 14.2s
Precision: 64
\[\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1\]
↓
\[d1 \cdot \left(\left(d2 - d1\right) - \left(d3 - d4\right)\right)\]
\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1
↓
d1 \cdot \left(\left(d2 - d1\right) - \left(d3 - d4\right)\right)
double f(double d1, double d2, double d3, double d4) {
        double r8756143 = d1;
        double r8756144 = d2;
        double r8756145 = r8756143 * r8756144;
        double r8756146 = d3;
        double r8756147 = r8756143 * r8756146;
        double r8756148 = r8756145 - r8756147;
        double r8756149 = d4;
        double r8756150 = r8756149 * r8756143;
        double r8756151 = r8756148 + r8756150;
        double r8756152 = r8756143 * r8756143;
        double r8756153 = r8756151 - r8756152;
        return r8756153;
}
↓
double f(double d1, double d2, double d3, double d4) {
        double r8756154 = d1;
        double r8756155 = d2;
        double r8756156 = r8756155 - r8756154;
        double r8756157 = d3;
        double r8756158 = d4;
        double r8756159 = r8756157 - r8756158;
        double r8756160 = r8756156 - r8756159;
        double r8756161 = r8756154 * r8756160;
        return r8756161;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019129 
(FPCore (d1 d2 d3 d4)
  :name "FastMath dist4"

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

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