Average Error: 2.9 → 2.9
Time: 14.6s
Precision: 64
Internal precision: 128
\[\frac{x}{y - z \cdot t}\]
⬇
\[\frac{x}{y - z \cdot t}\]

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Target

Original2.9
Comparison1.7
Herbie2.9
\[ \begin{array}{l} \mathbf{if}\;x \lt -1.618195973607049 \cdot 10^{+50}:\\ \;\;\;\;\frac{1}{\frac{y}{x} - \frac{z}{x} \cdot t}\\ \mathbf{if}\;x \lt 2.1378306434876444 \cdot 10^{+131}:\\ \;\;\;\;\frac{x}{y - z \cdot t}\\ \mathbf{else}:\\ \;\;\;\;\frac{1}{\frac{y}{x} - \frac{z}{x} \cdot t}\\ \end{array} \]

Derivation

  1. Initial program 2.9

    \[\frac{x}{y - z \cdot t}\]
  2. Removed slow pow expressions

Runtime

Time bar (total: 14.6s) Debug log

Please include this information when filing a bug report:

herbie --seed '#(2487882732 1377542414 1808468100 1069537401 3203230697 3522173055)'
(FPCore (x y z t)
  :name "Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, B"

  :target
  (if (< x -1.618195973607049e+50) (/ 1 (- (/ y x) (* (/ z x) t))) (if (< x 2.1378306434876444e+131) (/ x (- y (* z t))) (/ 1 (- (/ y x) (* (/ z x) t)))))

  (/ x (- y (* z t))))