Details

sample97.0ms

Algorithm

intervals

Results

50.0ms	114×	body	1280	valid
20.0ms	85×	body	640	valid
7.0ms	270×	body	80	nan
5.0ms	35×	body	320	valid
1.0ms	14×	body	160	valid
0.0ms	8×	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

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: 58.3b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
4.7b	(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)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
120.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify131.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (25.0ms)

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

prune208.0ms

Filtered

89 candidates to 59 candidates (66.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	5	90

Merged error: 0.2b

Counts

90 → 5

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

prune12.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	0	0
Total	5	5

Merged error: 0.2b

Counts

5 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ 1.0 eps))
0.0b	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
4.7b	(log (- 1.0 eps))
4.8b	(log (/ 1 (+ 1.0 eps)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
46×	`log-prod`
36×	`times-frac`
35×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
18×	`associate-+r+`
14×	`add-exp-log` `distribute-lft-out`
12×	`pow1`
8×	`log-pow`
6×	`log-div` `associate-/r/` `add-cbrt-cube`
5×	`associate-+l+` `rem-log-exp`
4×	`flip3-+` `div-exp` `associate-/r*` `flip-+` `add-log-exp`
3×	`log-rec` `div-inv` `associate-/l*`
2×	`associate-+l-` `rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `unsub-neg` `clear-num` `sum-log`

Counts

4 → 130

Calls

4 calls:

5.0ms	(/ 1 (+ 1.0 eps))
13.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
3.0ms	(log (- 1.0 eps))
5.0ms	(log (/ 1 (+ 1.0 eps)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1 (+ 1.0 eps))
178.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
42.0ms	(log (- 1.0 eps))
71.0ms	(log (/ 1 (+ 1.0 eps)))

simplify43.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	467	859
1	1536	766
2	5001	676

prune284.0ms

Filtered

142 candidates to 86 candidates (60.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	139	3	142
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	141	6	147

Merged error: 0.2b

Counts

147 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

4.7b	(log (- 1.0 eps))
4.8b	(log (/ 1 (+ 1.0 eps)))
4.8b	(log (/ 1 (+ 1.0 eps)))
4.8b	(log (/ 1 (+ 1.0 eps)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

59×	`log-prod`
49×	`*-un-lft-identity`
36×	`times-frac`
31×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
20×	`add-exp-log`
13×	`rem-log-exp`
11×	`pow1`
10×	`log-pow`
9×	`distribute-lft-out`
6×	`div-exp` `associate-/r/`
5×	`log-div`
4×	`add-cbrt-cube` `add-log-exp`
3×	`rec-exp` `pow-flip` `flip3-+` `1-exp` `log-rec` `flip-+` `div-inv` `inv-pow`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 118

Calls

4 calls:

3.0ms	(log (- 1.0 eps))
5.0ms	(log (/ 1 (+ 1.0 eps)))
5.0ms	(log (/ 1 (+ 1.0 eps)))
6.0ms	(log (/ 1 (+ 1.0 eps)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(log (- 1.0 eps))
72.0ms	(log (/ 1 (+ 1.0 eps)))
72.0ms	(log (/ 1 (+ 1.0 eps)))
72.0ms	(log (/ 1 (+ 1.0 eps)))

simplify84.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	276	800
1	757	740
2	2880	675
3	5001	636

prune323.0ms

Filtered

130 candidates to 78 candidates (60.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	130	6	136

Merged error: 0.2b

Counts

136 → 6

regimes43.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3448×	body	1280	valid
608.0ms	2521×	body	640	valid
207.0ms	7964×	body	80	nan
177.0ms	1233×	body	320	valid
52.0ms	604×	body	160	valid
8.0ms	194×	body	80	valid

Details

sample97.0ms

simplify5.0ms

prune3.0ms

localize9.0ms

rewrite18.0ms

series155.0ms

simplify131.0ms

prune208.0ms

localize10.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune12.0ms

localize7.0ms

rewrite30.0ms

series317.0ms

simplify43.0ms

prune284.0ms

localize12.0ms

rewrite23.0ms

series258.0ms

simplify84.0ms

prune323.0ms

regimes43.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

Profiling