Details

sample254.0ms

Algorithm

intervals

Results

182.0ms	102×	body	2560	valid
46.0ms	78×	body	1280	valid
7.0ms	39×	body	640	valid
5.0ms	256×	pre	80	true
3.0ms	26×	body	320	valid
1.0ms	11×	body	160	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: 60.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (tan x))
3.3b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

271×	`times-frac`
220×	`add-sqr-sqrt`
216×	`*-un-lft-identity`
208×	`add-cube-cbrt`
182×	`prod-diff`
31×	`div-inv`
14×	`tan-quot` `associate-/r/`
13×	`fma-neg`
5×	`distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--`

Counts

2 → 249

Calls

2 calls:

4.0ms	(/ 1.0 (tan x))
19.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series132.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ 1.0 (tan x))
98.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify91.0ms

Algorithm

egg-herbie

Counts

255 → 255

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	811	5920
1	2193	4160
2	5001	3667

prune226.0ms

Filtered

255 candidates to 90 candidates (35.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	254	1	255
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	255	1	256

Merged error: 0.3b

Counts

256 → 1

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms

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

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample7.4s

Algorithm

intervals

Results

5.4s	3235×	body	2560	valid
1.3s	2470×	body	1280	valid
244.0ms	1265×	body	640	valid
135.0ms	8000×	pre	80	true
87.0ms	666×	body	320	valid
28.0ms	331×	body	160	valid
2.0ms	33×	body	80	valid