Average Error: 0.0 → 0.0
Time: 3.8s
Precision: binary64
Cost: 448
\[\left(1 - x\right) \cdot y + x \cdot z\]
↓
\[y + x \cdot \left(z - y\right)\]
\left(1 - x\right) \cdot y + x \cdot z
↓
y + x \cdot \left(z - y\right)
(FPCore (x y z) :precision binary64 (+ (* (- 1.0 x) y) (* x z)))
↓
(FPCore (x y z) :precision binary64 (+ y (* x (- z y))))
double code(double x, double y, double z) {
	return ((1.0 - x) * y) + (x * z);
}
↓
double code(double x, double y, double z) {
	return y + (x * (z - y));
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[y - x \cdot \left(y - z\right)\]

Alternatives

Alternative 1
Error1.1
Cost648
\[\begin{array}{l} \mathbf{if}\;x \leq -1099291293765.1237 \lor \neg \left(x \leq 1.5775623304480582 \cdot 10^{-09}\right):\\ \;\;\;\;x \cdot \left(z - y\right)\\ \mathbf{else}:\\ \;\;\;\;y + x \cdot z\\ \end{array}\]
Alternative 2
Error7.3
Cost648
\[\begin{array}{l} \mathbf{if}\;z \leq -1.103926961233952 \cdot 10^{-132} \lor \neg \left(z \leq 6.606265050228552 \cdot 10^{-146}\right):\\ \;\;\;\;y + x \cdot z\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(1 - x\right)\\ \end{array}\]
Alternative 3
Error12.5
Cost320
\[y + x \cdot z\]
Alternative 4
Error23.6
Cost520
\[\begin{array}{l} \mathbf{if}\;x \leq -0.005612410766787685 \lor \neg \left(x \leq 1.9577298174543044 \cdot 10^{-11}\right):\\ \;\;\;\;x \cdot z\\ \mathbf{else}:\\ \;\;\;\;y\\ \end{array}\]
Alternative 5
Error35.2
Cost64
\[y\]
Alternative 6
Error61.8
Cost64
\[-1\]
Alternative 7
Error61.8
Cost64
\[1\]

Error

Derivation

  1. Initial program 0.0

    \[\left(1 - x\right) \cdot y + x \cdot z\]

  2. Simplified0.0

    \[\leadsto \color{blue}{y + x \cdot \left(z - y\right)}\]

  3. Simplified0.0

    \[\leadsto \color{blue}{y + x \cdot \left(z - y\right)}\]

  4. Final simplification0.0

    \[\leadsto y + x \cdot \left(z - y\right)\]

Reproduce

herbie shell --seed 2021044 
(FPCore (x y z)
  :name "Diagrams.Color.HSV:lerp  from diagrams-contrib-1.3.0.5"
  :precision binary64

  :herbie-target
  (- y (* x (- y z)))

  (+ (* (- 1.0 x) y) (* x z)))