Details

sample59.0ms

Algorithm

intervals

Results

34.0ms	75×	body	1280	valid
12.0ms	58×	body	640	valid
2.0ms	91×	body	80	valid
1.0ms	15×	body	320	valid
1.0ms	84×	body	80	nan
1.0ms	17×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

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: 38.5b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.6b	(log (+ 1.0 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(log (+ 1.0 x))

simplify44.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	129	99
1	357	89
2	1274	86
3	5001	81

prune43.0ms

Filtered

20 candidates to 15 candidates (75.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	15	5	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	6	21

Merged error: 0.2b

Counts

21 → 6

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

prune7.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	1	1
Total	6	6

Merged error: 0.2b

Counts

6 → 6

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
4.7b	(log (sqrt (+ 1.0 x)))
4.7b	(log (sqrt (+ 1.0 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`log-prod`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`expm1-log1p-u` `log-div` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp` `hypot-def`

Counts

4 → 82

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 x))
4.0ms	(sqrt (+ 1.0 x))
4.0ms	(log (sqrt (+ 1.0 x)))
4.0ms	(log (sqrt (+ 1.0 x)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt (+ 1.0 x))
40.0ms	(sqrt (+ 1.0 x))
96.0ms	(log (sqrt (+ 1.0 x)))
89.0ms	(log (sqrt (+ 1.0 x)))

simplify70.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	184	508
1	519	462
2	1999	442
3	5001	428

prune179.0ms

Filtered

94 candidates to 70 candidates (74.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	2	1	3
Picked	0	1	1
Done	1	1	2
Total	94	6	100

Merged error: 0.2b

Counts

100 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (sqrt (+ 1.0 x)))
4.7b	(log (sqrt (+ 1.0 x)))
4.8b	(log (cbrt (sqrt (+ 1.0 x))))
4.8b	(log (cbrt (sqrt (+ 1.0 x))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
22×	`*-un-lft-identity`
21×	`cbrt-prod`
16×	`sqrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1` `sqrt-div`
7×	`add-exp-log` `log-pow`
6×	`log-div` `cbrt-div`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`pow1/3` `rem-log-exp`
1×	`sqrt-pow1` `pow1/2`

Counts

4 → 89

Calls

4 calls:

7.0ms	(cbrt (sqrt (+ 1.0 x)))
4.0ms	(log (sqrt (+ 1.0 x)))
4.0ms	(log (cbrt (sqrt (+ 1.0 x))))
4.0ms	(log (cbrt (sqrt (+ 1.0 x))))

series427.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (sqrt (+ 1.0 x)))
88.0ms	(log (sqrt (+ 1.0 x)))
124.0ms	(log (cbrt (sqrt (+ 1.0 x))))
121.0ms	(log (cbrt (sqrt (+ 1.0 x))))

simplify112.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	352	765
1	1013	706
2	3916	688
3	5001	684

prune267.0ms

Filtered

101 candidates to 82 candidates (81.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	101	6	107

Merged error: 0.1b

Counts

107 → 6

regimes81.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample1.7s

Algorithm

intervals

Results

949.0ms	2183×	body	1280	valid
353.0ms	1707×	body	640	valid
91.0ms	874×	body	320	valid
61.0ms	2781×	body	80	valid
34.0ms	2601×	body	80	nan
30.0ms	455×	body	160	valid