Details

sample96.0ms

Algorithm

intervals

Results

50.0ms	114×	body	1280	valid
18.0ms	75×	body	640	valid
9.0ms	312×	body	80	nan
6.0ms	40×	body	320	valid
2.0ms	22×	body	160	valid
0.0ms	5×	body	80	valid

simplify6.0ms

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

prune1.0ms

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: 58.7b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.4b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite18.0ms

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

series149.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
114.0ms	(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	625
2	4497	607
3	5001	607

prune142.0ms

Filtered

89 candidates to 59 candidates (66.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	4	90

Merged error: 0.2b

Counts

90 → 4

localize14.0ms

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

prune5.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Merged error: 0.2b

Counts

4 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
5.4b	(log (+ 1.0 eps))
5.4b	(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))

series328.0ms

Counts

3 → 9

Calls

3 calls:

246.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
43.0ms	(log (+ 1.0 eps))
39.0ms	(log (- 1.0 eps))

simplify82.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	310	433
1	801	413
2	3015	395
3	5001	395

prune115.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	73	1	74

Merged error: 0b

Counts

74 → 1

localize20.0ms

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)))

rewrite74.0ms

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)))
36.0ms	(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

series171.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
75.0ms	(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

simplify47.0ms

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1050	1560
1	5001	1380

prune634.0ms

Filtered

284 candidates to 148 candidates (52.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	284	0	284
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	284	1	285

Merged error: 0b

Counts

285 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	12
1	38	12
2	52	12
3	54	12
4	54	12

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.6s	3461×	body	1280	valid
617.0ms	2418×	body	640	valid
236.0ms	8149×	body	80	nan
196.0ms	1285×	body	320	valid
61.0ms	657×	body	160	valid
8.0ms	179×	body	80	valid