Details

sample253.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 50.2851%

Space saved by search: 50.2851%

Guaranteed chance to sample good point: 99.987793%

Results

147.0ms	93×	body	2560	valid
54.0ms	93×	body	1280	valid
8.0ms	36×	body	640	valid
5.0ms	256×	pre	80	true
3.0ms	21×	body	320	valid
1.0ms	10×	body	160	valid
0.0ms	3×	body	80	valid

simplify4.0ms

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

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: 59.8b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (tan x))
2.8b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite17.0ms

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 → 50

Calls

2 calls:

3.0ms	(/ 1.0 (tan x))
12.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series28.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/ 1.0 (tan x))
18.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	232	342
1	610	327
2	1880	327
3	5002	326

prune80.0ms

Filtered

46 candidates to 56 candidates (-21.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	1	57

Merged error: 0.3b

Counts

57 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 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:

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

series8.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify185.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	208	215
1	871	193
2	4634	193
3	5001	193

prune79.0ms

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	7
1	18	7

end0.0ms

sample7.2s

Algorithm

intervals

sampling

Space saved by range analysis: 50.2851%

Space saved by search: 50.2851%

Guaranteed chance to sample good point: 99.987793%

Results

5.2s	3152×	body	2560	valid
1.3s	2541×	body	1280	valid
242.0ms	1307×	body	640	valid
129.0ms	8000×	pre	80	true
72.0ms	621×	body	320	valid
27.0ms	329×	body	160	valid
2.0ms	50×	body	80	valid

Details

sample253.0ms

simplify4.0ms

prune2.0ms

localize5.0ms

rewrite17.0ms

series28.0ms

simplify53.0ms

prune80.0ms

localize9.0ms

rewrite13.0ms

series8.0ms

simplify185.0ms

prune79.0ms

simplify1.0ms

end0.0ms

sample7.2s

Profiling