Details

sample60.0ms

Algorithm

intervals

Results

32.0ms	691×	body	80	nan
12.0ms	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

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
16×	`sqrt-prod`
13×	`fma-def`
7×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `div-inv` `distribute-lft-out` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-out` `flip3--` `frac-2neg` `flip3-+` `div-exp` `frac-add` `clear-num` `sum-log` `flip--` `flip-+`

Counts

2 → 79

Calls

2 calls:

19.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
6.0ms	(/ (sqrt (- 1.0 (* x x))) x)

series233.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
131.0ms	(/ (sqrt (- 1.0 (* x x))) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	344	608
1	1103	586
2	5001	574

prune194.0ms

Filtered

85 candidates to 71 candidates (83.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	1	86

Merged error: 0b

Counts

86 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

998.0ms	23995×	body	80	nan
387.0ms	8000×	body	80	valid