Details

sample103.0ms

Algorithm

intervals

Results

45.0ms	93×	body	2560	valid
23.0ms	82×	body	1280	valid
9.0ms	250×	body	80	nan
8.0ms	44×	body	640	valid
3.0ms	21×	body	320	valid
1.0ms	12×	body	160	valid
0.0ms	4×	body	80	valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	43	7
2	84	7
3	155	7
4	262	7
5	454	7
6	2865	7
7	5002	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: 0.5b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 5.0 (* v v))
0.5b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-r` `*-commutative`
1×	`acos-asin`

Counts

2 → 4

Calls

2 calls:

3.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series27.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify334.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	37
1	74	37
2	179	37
3	534	37
4	3916	37
5	5001	37

prune13.0ms

Filtered

10 candidates to 4 candidates (40.0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	1	11

Merged error: 0.5b

Counts

11 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample2.4s

Algorithm

intervals

Results

987.0ms	2903×	body	2560	valid
599.0ms	2608×	body	1280	valid
223.0ms	7891×	body	80	nan
203.0ms	1213×	body	640	valid
79.0ms	652×	body	320	valid
35.0ms	415×	body	160	valid
10.0ms	209×	body	80	valid