Details

sample49.0ms

Algorithm

intervals

Results

24.0ms	799×	body	80	nan
9.0ms	256×	body	80	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	7
1	16	7
2	18	7
3	18	7

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
15×	`times-frac`
14×	`add-sqr-sqrt`
13×	`fma-def`
12×	`add-cube-cbrt`
4×	`sqrt-prod` `distribute-lft-out` `add-log-exp`
3×	`pow1` `div-inv`
2×	`add-exp-log` `expm1-log1p-u` `sqrt-div` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `rem-sqrt-square` `distribute-rgt-out` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `frac-add` `sum-log` `flip--` `flip-+` `difference-of-squares`

Counts

2 → 50

Calls

2 calls:

3.0ms	(sqrt (- 1.0 (* x x)))
28.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series157.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(sqrt (- 1.0 (* x x)))
98.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify33.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	313	334
1	1038	316
2	5001	313

prune158.0ms

Filtered

56 candidates to 52 candidates (92.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

712.0ms	24293×	body	80	nan
293.0ms	8000×	body	80	valid