Average Error: 0.0 → 0.0
Time: 8.1s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)
double f(double d1, double d2, double d3) {
        double r127190 = d1;
        double r127191 = d2;
        double r127192 = r127190 * r127191;
        double r127193 = d3;
        double r127194 = 5.0;
        double r127195 = r127193 + r127194;
        double r127196 = r127195 * r127190;
        double r127197 = r127192 + r127196;
        double r127198 = 32.0;
        double r127199 = r127190 * r127198;
        double r127200 = r127197 + r127199;
        return r127200;
}
↓
double f(double d1, double d2, double d3) {
        double r127201 = d1;
        double r127202 = d3;
        double r127203 = 5.0;
        double r127204 = r127202 + r127203;
        double r127205 = 32.0;
        double r127206 = r127204 + r127205;
        double r127207 = d2;
        double r127208 = r127206 + r127207;
        double r127209 = r127201 * r127208;
        return r127209;
}

Error

Bits error versus d1

Bits error versus d2

Bits error versus d3

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[d1 \cdot \left(\left(37 + d3\right) + d2\right)\]

Derivation

  1. Initial program 0.0

    \[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]

  2. Simplified0.0

    \[\leadsto \color{blue}{d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)}\]

  3. Final simplification0.0

    \[\leadsto d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)\]

Reproduce

herbie shell --seed 2019195 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37.0 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0)))