Details

analyze8.0ms

Algorithm

Search

True	Other	False	Iter
0%	49.7%	50.3%	0
0%	49.7%	50.3%	1
0%	49.7%	50.3%	2
24.8%	24.8%	50.3%	3
37.3%	12.4%	50.3%	4
43.5%	6.2%	50.3%	5
46.6%	3.1%	50.3%	6
48.1%	1.6%	50.3%	7
48.9%	0.8%	50.3%	8
49.3%	0.4%	50.3%	9
49.5%	0.2%	50.3%	10
49.6%	0.1%	50.3%	11
49.6%	0%	50.3%	12
49.7%	0%	50.3%	13
49.7%	0%	50.3%	14

sample245.0ms

Algorithm

intervals

Results

173.0ms	104×	body	2560	valid
50.0ms	79×	body	1280	valid
8.0ms	42×	body	640	valid
4.0ms	256×	pre	80	true
2.0ms	21×	body	320	valid
1.0ms	10×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	220	8
1	220	8

prune2.0ms

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: 60.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (tan x))
2.2b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`times-frac`
12×	`add-cube-cbrt`
5×	`distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`pow1`
1×	`tan-quot` `cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `associate-/r/` `frac-sub` `flip--`

Counts

2 → 49

Calls

2 calls:

4.0ms	(/ 1.0 (tan x))
14.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series32.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/ 1.0 (tan x))
21.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4916	556
1	4916	556

prune79.0ms

Filtered

45 candidates to 55 candidates (-22.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	1	56

Merged error: 0.3b

Counts

56 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 0.0021164021164021165 (pow x 5))
0.1b	(* 0.022222222222222223 (pow x 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`associate-r`
12×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp` `add-cbrt-cube`
4×	`cube-prod` `sqr-pow`
2×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`cube-mult` `unpow3`

Counts

2 → 56

Calls

2 calls:

5.0ms	(* 0.0021164021164021165 (pow x 5))
6.0ms	(* 0.022222222222222223 (pow x 3))

series8.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* 0.0021164021164021165 (pow x 5))
4.0ms	(* 0.022222222222222223 (pow x 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4909	393
1	4909	393

prune81.0ms

Filtered

38 candidates to 62 candidates (-63.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	1	63

Merged error: 0.3b

Counts

63 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	15
1	18	15

end0.0ms

sample7.2s

Algorithm

intervals

Results

5.2s	3242×	body	2560	valid
1.3s	2481×	body	1280	valid
245.0ms	1268×	body	640	valid
128.0ms	8000×	pre	80	true
72.0ms	598×	body	320	valid
29.0ms	361×	body	160	valid
2.0ms	50×	body	80	valid

Details

analyze8.0ms

sample245.0ms

simplify10.0ms

prune2.0ms

localize5.0ms

rewrite19.0ms

series32.0ms

simplify45.0ms

prune79.0ms

localize12.0ms

rewrite13.0ms

series8.0ms

simplify48.0ms

prune81.0ms

simplify1.0ms

end0.0ms

sample7.2s

Profiling