Details

sample98.0ms

Algorithm

intervals

Results

54.0ms	115×	body	1280	valid
19.0ms	75×	body	640	valid
6.0ms	231×	body	80	nan
6.0ms	38×	body	320	valid
2.0ms	20×	body	160	valid
0.0ms	8×	body	80	valid

simplify7.0ms

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

prune2.0ms

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: 58.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.3b	(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)))

simplify134.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (26.0ms)

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

prune141.0ms

Filtered

89 candidates to 59 candidates (33.7%)

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: 0.1b

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

prune13.0ms

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: 0.1b

Counts

5 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
5.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
78×	`log-prod`
60×	`times-frac`
59×	`add-sqr-sqrt`
35×	`add-cube-cbrt`
15×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`pow1/3`

Counts

4 → 123

Calls

4 calls:

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

series24.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify135.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	375	1218
1	1044	1148
2	4435	1096
3	5001	1094

prune341.0ms

Filtered

135 candidates to 89 candidates (34.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	134	6	140

Merged error: 0.1b

Counts

140 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

5.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.3b	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))
5.3b	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
110×	`log-prod`
80×	`times-frac`
78×	`add-sqr-sqrt`
52×	`sqrt-prod`
46×	`add-cube-cbrt`
20×	`distribute-lft-out`
16×	`distribute-lft-out--` `difference-of-squares`
12×	`add-exp-log`
10×	`pow1`
8×	`associate-/r/` `log-pow`
6×	`rem-log-exp`
4×	`log-div` `flip3-+` `add-cbrt-cube` `flip-+` `div-inv` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `div-exp`

Counts

4 → 156

Calls

4 calls:

7.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
8.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))
10.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))

series24.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
7.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))
7.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))

simplify47.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	410	1690
1	1097	1602
2	5001	1514

prune530.0ms

Filtered

168 candidates to 110 candidates (34.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	168	6	174

Merged error: 0.1b

Counts

174 → 6

regimes138.0ms

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	15	9
1	15	9

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.5s	3383×	body	1280	valid
632.0ms	2531×	body	640	valid
213.0ms	7744×	body	80	nan
187.0ms	1265×	body	320	valid
53.0ms	607×	body	160	valid
9.0ms	214×	body	80	valid

Details

sample98.0ms

simplify7.0ms

prune2.0ms

localize5.0ms

rewrite17.0ms

series8.0ms

simplify134.0ms

prune141.0ms

localize9.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune13.0ms

localize9.0ms

rewrite26.0ms

series24.0ms

simplify135.0ms

prune341.0ms

localize14.0ms

rewrite38.0ms

series24.0ms

simplify47.0ms

prune530.0ms

regimes138.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.9s

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