Details

sample248.0ms

Algorithm

intervals

Results

184.0ms	103×	body	2560	valid
39.0ms	83×	body	1280	valid
7.0ms	42×	body	640	valid
4.0ms	256×	pre	80	true
2.0ms	21×	body	320	valid
0.0ms	6×	body	160	valid
0.0ms	1×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	4
1	11	4
2	11	4

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: 60.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

1.4b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

262×	`times-frac`
211×	`add-sqr-sqrt`
207×	`*-un-lft-identity`
199×	`add-cube-cbrt`
182×	`prod-diff`
30×	`div-inv`
13×	`tan-quot` `fma-neg` `associate-/r/`
5×	`distribute-lft-out--`
4×	`difference-of-squares`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 219

Calls

1 calls:

18.0ms

(- (/ 1.0 x) (/ 1.0 (tan x)))

series98.0ms

Counts

1 → 3

Calls

1 calls:

98.0ms

(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify83.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	769	5769
1	1948	4014
2	5001	3552

prune188.0ms

Filtered

222 candidates to 68 candidates (30.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	221	1	222
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	222	1	223

Merged error: 0.3b

Counts

223 → 1

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Merged error: 0.3b

Counts

1 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample7.3s

Algorithm

intervals

Results

5.4s	3139×	body	2560	valid
1.3s	2587×	body	1280	valid
234.0ms	1244×	body	640	valid
132.0ms	8000×	pre	80	true
78.0ms	656×	body	320	valid
27.0ms	331×	body	160	valid
2.0ms	43×	body	80	valid