Details

sample110.0ms

Algorithm

intervals

Results

57.0ms	116×	body	1280	valid
22.0ms	77×	body	640	valid
8.0ms	231×	body	80	nan
6.0ms	35×	body	320	valid
2.0ms	22×	body	160	valid
0.0ms	6×	body	80	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	6
1	25	6
2	40	6
3	61	6
4	88	6
5	104	6
6	113	6
7	113	6

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 58.6b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.2b	(log (/ (+ 1.0 x) (- 1.0 x)))

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-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

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

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ (+ 1.0 x) (- 1.0 x))
6.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify122.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	318	660
1	1025	624
2	4261	602
3	5003	602

prune358.0ms

Filtered

88 candidates to 58 candidates (34.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	2	89

Merged error: 0.1b

Counts

89 → 2

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

19.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify52.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	528	643
1	2205	526
2	5001	525

prune669.0ms

Filtered

113 candidates to 68 candidates (39.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	113	2	115

Merged error: 0.1b

Counts

115 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.2b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
6.2b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
84×	`add-sqr-sqrt`
80×	`times-frac`
58×	`log-prod`
52×	`sqrt-prod`
48×	`add-cube-cbrt`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `associate-/r*`
8×	`pow1` `associate-/r/` `add-cbrt-cube` `associate-/l*`
6×	`log-pow`
4×	`flip3--` `flip--` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `log-div` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `div-exp` `rem-log-exp` `clear-num` `flip-+`

Counts

4 → 172

Calls

4 calls:

7.0ms	(/ (+ 1.0 x) (- 1.0 x))
7.0ms	(/ (+ 1.0 x) (- 1.0 x))
8.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
8.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

series20.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (+ 1.0 x) (- 1.0 x))
3.0ms	(/ (+ 1.0 x) (- 1.0 x))
7.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
7.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify51.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	365	1614
1	1138	1530
2	5002	1442

prune1.2s

Filtered

184 candidates to 122 candidates (33.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	184	2	186

Merged error: 0.1b

Counts

186 → 2

regimes50.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.7s	3433×	body	1280	valid
679.0ms	2451×	body	640	valid
281.0ms	8038×	body	80	nan
206.0ms	1223×	body	320	valid
68.0ms	660×	body	160	valid
11.0ms	233×	body	80	valid

Details

sample110.0ms

simplify12.0ms

prune3.0ms

localize7.0ms

rewrite17.0ms

series9.0ms

simplify122.0ms

prune358.0ms

localize15.0ms

rewrite25.0ms

series6.0ms

simplify52.0ms

prune669.0ms

localize10.0ms

rewrite38.0ms

series20.0ms

simplify51.0ms

prune1.2s

regimes50.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.2s

Profiling