Details

sample95.0ms

Algorithm

intervals

Results

50.0ms	104×	body	1280	valid
22.0ms	93×	body	640	valid
6.0ms	238×	body	80	nan
4.0ms	27×	body	320	valid
2.0ms	25×	body	160	valid
0.0ms	7×	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

prune2.0ms

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: 58.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.0b	(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:

8.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
7.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
125.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify136.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (27.0ms)

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

prune162.0ms

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

prune9.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
0.0b	(/ 1 (+ 1.0 eps))
6.1b	(log (- 1.0 eps))
6.1b	(log (/ 1 (+ 1.0 eps)))

rewrite29.0ms

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:

11.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
5.0ms	(/ 1 (+ 1.0 eps))
3.0ms	(log (- 1.0 eps))
5.0ms	(log (/ 1 (+ 1.0 eps)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
22.0ms	(/ 1 (+ 1.0 eps))
46.0ms	(log (- 1.0 eps))
70.0ms	(log (/ 1 (+ 1.0 eps)))

simplify52.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (35.0ms)

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

prune204.0ms

Filtered

142 candidates to 86 candidates (60.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	139	3	142
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	140	7	147

Merged error: 0.1b

Counts

147 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

6.1b	(log (- 1.0 eps))
6.1b	(log (/ 1 (+ 1.0 eps)))
6.1b	(log (/ 1 (+ 1.0 eps)))
6.1b	(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)))
5.0ms	(log (/ 1 (+ 1.0 eps)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(log (- 1.0 eps))
71.0ms	(log (/ 1 (+ 1.0 eps)))
71.0ms	(log (/ 1 (+ 1.0 eps)))
71.0ms	(log (/ 1 (+ 1.0 eps)))

simplify86.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 3 (76.0ms)

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

prune259.0ms

Filtered

130 candidates to 78 candidates (60.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	130	7	137

Merged error: 0.1b

Counts

137 → 7

regimes31.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.5s	3449×	body	1280	valid
591.0ms	2499×	body	640	valid
213.0ms	8022×	body	80	nan
176.0ms	1247×	body	320	valid
51.0ms	610×	body	160	valid
8.0ms	195×	body	80	valid

Details

sample95.0ms

simplify6.0ms

prune2.0ms

localize5.0ms

rewrite18.0ms

series156.0ms

simplify136.0ms

prune162.0ms

localize10.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune9.0ms

localize8.0ms

rewrite29.0ms

series316.0ms

simplify52.0ms

prune204.0ms

localize12.0ms

rewrite23.0ms

series253.0ms

simplify86.0ms

prune259.0ms

regimes31.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.7s

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