Details

sample65.0ms

Algorithm

intervals

Results

39.0ms	83×	body	1280	valid
11.0ms	54×	body	640	valid
2.0ms	21×	body	320	valid
2.0ms	85×	body	80	valid
1.0ms	100×	body	80	nan
1.0ms	13×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.4b

localize8.0ms

Local error

Found 1 expressions with local error:

3.9b	(log (+ 1.0 x))

rewrite6.0ms

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:

5.0ms

(log (+ 1.0 x))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(log (+ 1.0 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	131	99
1	363	89
2	1292	86
3	5002	81

prune48.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

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

prune5.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

3.7b	(log (sqrt (+ 1.0 x)))
3.7b	(log (sqrt (+ 1.0 x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

6.0ms	(log (sqrt (+ 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(log (sqrt (+ 1.0 x)))
72.0ms	(log (sqrt (+ 1.0 x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	143	314
1	362	284
2	1284	272
3	5002	264

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (+ 1.0 x)))
3.6b	(log (sqrt (sqrt (+ 1.0 x))))
3.6b	(log (sqrt (sqrt (+ 1.0 x))))
3.7b	(log (sqrt (+ 1.0 x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

12.0ms	(sqrt (sqrt (+ 1.0 x)))
7.0ms	(log (sqrt (sqrt (+ 1.0 x))))
7.0ms	(log (sqrt (sqrt (+ 1.0 x))))
6.0ms	(log (sqrt (+ 1.0 x)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(sqrt (sqrt (+ 1.0 x)))
113.0ms	(log (sqrt (sqrt (+ 1.0 x))))
117.0ms	(log (sqrt (sqrt (+ 1.0 x))))
79.0ms	(log (sqrt (+ 1.0 x)))

simplify151.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	370	786
1	1180	730
2	4762	705
3	5001	705

prune319.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes61.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 22.2b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	21
1	24	21

end0.0ms

sample1.7s

Algorithm

intervals

Results

967.0ms	2241×	body	1280	valid
345.0ms	1674×	body	640	valid
83.0ms	796×	body	320	valid
63.0ms	2877×	body	80	valid
39.0ms	2740×	body	80	nan
25.0ms	412×	body	160	valid