Details

analyze4.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 50.048816%

Guaranteed chance to sample good point: 99.987787%

sample97.0ms

Algorithm

intervals

Results

64.0ms	121×	body	1280	valid
18.0ms	69×	body	640	valid
6.0ms	37×	body	320	valid
2.0ms	24×	body	160	valid
0.0ms	5×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4

prune3.0ms

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: 58.5b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

7.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series8.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify131.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	339	657
1	1040	623
2	4497	605
3	5001	605

prune137.0ms

Filtered

59 candidates to 89 candidates (-50.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	3	90

Merged error: 0.2b

Counts

90 → 3

localize10.0ms

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

prune7.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Merged error: 0.2b

Counts

3 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
6.4b	(log (+ 1.0 eps))
6.4b	(log (- 1.0 eps))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`log-prod`
13×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `distribute-lft-out--`
5×	`add-exp-log` `associate--l+`
4×	`associate--r+`
3×	`flip3--` `add-cbrt-cube` `flip--` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 61

Calls

3 calls:

8.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
3.0ms	(log (+ 1.0 eps))
3.0ms	(log (- 1.0 eps))

series16.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
3.0ms	(log (+ 1.0 eps))
3.0ms	(log (- 1.0 eps))

simplify83.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	323	439
1	887	414
2	3343	392
3	5002	392

prune113.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	71	2	73

Merged error: 0b

Counts

73 → 2

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
0.1b	(* -2/3 (/ (pow eps 3) (pow 1.0 3)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
201×	`associate-r`
171×	`add-sqr-sqrt`
128×	`unpow-prod-down`
106×	`add-cube-cbrt` `*-un-lft-identity`
80×	`cube-prod`
52×	`sqr-pow`
48×	`add-exp-log`
27×	`unswap-sqr`
24×	`cube-mult` `unpow3`
20×	`prod-exp`
18×	`div-exp`
12×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
6×	`pow1` `associate-l`
4×	`cbrt-unprod`
2×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

2 → 278

Calls

2 calls:

16.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
34.0ms	(* -2/3 (/ (pow eps 3) (pow 1.0 3)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
7.0ms	(* -2/3 (/ (pow eps 3) (pow 1.0 3)))

simplify45.0ms

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1050	1560
1	5001	1380

prune531.0ms

Filtered

148 candidates to 284 candidates (-91.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	284	0	284
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	284	2	286

Merged error: 0b

Counts

286 → 2

regimes27.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

end0.0ms

analyze4.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 50.048816%

Guaranteed chance to sample good point: 99.987787%

sample2.5s

Algorithm

intervals

Results

1.5s	3347×	body	1280	valid
634.0ms	2543×	body	640	valid
182.0ms	1244×	body	320	valid
59.0ms	660×	body	160	valid
9.0ms	206×	body	80	valid

Details

analyze4.0ms

sample97.0ms

simplify5.0ms

prune3.0ms

localize5.0ms

rewrite17.0ms

series8.0ms

simplify131.0ms

prune137.0ms

localize10.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune7.0ms

localize7.0ms

rewrite16.0ms

series16.0ms

simplify83.0ms

prune113.0ms

localize17.0ms

rewrite71.0ms

series15.0ms

simplify45.0ms

prune531.0ms

regimes27.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze4.0ms

sample2.5s

Profiling