Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample155.0ms

Algorithm

intervals

Results

44.0ms	104×	body	1280	valid
20.0ms	85×	body	640	valid
6.0ms	40×	body	320	valid
2.0ms	21×	body	160	valid
0.0ms	6×	body	80	valid

simplify152.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	5041	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: 58.9b

Counts

2 → 1

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
58.9b	(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))
7.0ms	(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)))

simplify65.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4955	1113
1	4955	1113

prune140.0ms

Filtered

59 candidates to 89 candidates (-50.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	5	90

Merged error: 0.1b

Counts

90 → 5

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

prune10.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	1	1
Total	5	5

Merged error: 0.1b

Counts

5 → 5

localize48.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
58.9b	(log (+ 1.0 eps))
58.9b	(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 → 60

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))

simplify41.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4917	699
1	4917	699

prune108.0ms

Filtered

52 candidates to 69 candidates (-32.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	2	0	2
Picked	1	0	1
Done	2	0	2
Total	72	2	74

Merged error: 0.0b

Counts

74 → 2

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

85×	`associate-l`
84×	`add-sqr-sqrt`
78×	`times-frac`
63×	`unpow-prod-down`
48×	`add-cube-cbrt` `*-un-lft-identity`
33×	`add-exp-log`
22×	`sqr-pow`
16×	`unswap-sqr`
15×	`cube-prod`
14×	`prod-exp`
10×	`div-exp`
9×	`add-cbrt-cube`
8×	`pow-exp`
7×	`pow-to-exp`
6×	`associate-r`
4×	`pow1`
3×	`cbrt-unprod` `div-inv`
2×	`associate-l/` `-commutative` `add-log-exp`
1×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `pow-prod-down`

Counts

2 → 143

Calls

2 calls:

15.0ms	(* (/ (pow eps 5) (pow 1.0 5)) -2/5)
10.0ms	(* (pow (/ eps 1.0) 3) -2/3)

series14.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* (/ (pow eps 5) (pow 1.0 5)) -2/5)
6.0ms	(* (pow (/ eps 1.0) 3) -2/3)

simplify43.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4966	1494
1	4966	1494

prune346.0ms

Filtered

109 candidates to 149 candidates (-36.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	148	3	151

Merged error: 0.0b

Counts

151 → 3

regimes30.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	21
1	47	21

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.5s	3383×	body	1280	valid
609.0ms	2509×	body	640	valid
181.0ms	1252×	body	320	valid
56.0ms	642×	body	160	valid
8.0ms	214×	body	80	valid

Details

analyze4.0ms

sample155.0ms

simplify152.0ms

prune2.0ms

localize26.0ms

rewrite17.0ms

series8.0ms

simplify65.0ms

prune140.0ms

localize9.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune10.0ms

localize48.0ms

rewrite16.0ms

series16.0ms

simplify41.0ms

prune108.0ms

localize13.0ms

rewrite32.0ms

series14.0ms

simplify43.0ms

prune346.0ms

regimes30.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.6s

Profiling