Details

sample54.0ms

Algorithm

intervals

Results

24.0ms	57×	body	1280	valid
12.0ms	58×	body	640	valid
3.0ms	27×	body	320	valid
3.0ms	98×	body	80	valid
2.0ms	84×	body	80	nan
1.0ms	16×	body	160	valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

prune2.0ms

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: 37.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.7b	(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×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

4.0ms

(log (+ 1.0 x))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(log (+ 1.0 x))

simplify34.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5617	144

prune46.0ms

Filtered

13 candidates to 18 candidates (-38.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	13	5	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	5	19

Merged error: 0.1b

Counts

19 → 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

prune11.0ms

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

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
5.8b	(log (sqrt (+ 1.0 x)))
5.8b	(log (sqrt (+ 1.0 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

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

series23.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (+ 1.0 x))
4.0ms	(sqrt (+ 1.0 x))
6.0ms	(log (sqrt (+ 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))

simplify38.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5531	848

prune174.0ms

Filtered

64 candidates to 84 candidates (-31.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Merged error: 0.1b

Counts

89 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (pow (log (sqrt (+ 1.0 x))) 3))
0.3b	(pow (log (sqrt (+ 1.0 x))) 3)
5.8b	(log (sqrt (+ 1.0 x)))
5.8b	(log (sqrt (+ 1.0 x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod` `*-un-lft-identity` `log-pow`
17×	`pow1`
14×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
12×	`unpow-prod-down` `cube-prod`
8×	`sqrt-prod`
7×	`add-exp-log`
6×	`sqrt-pow1` `pow1/2`
5×	`add-cbrt-cube`
4×	`log-div` `sqrt-div` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `flip3-+` `unpow3` `rem-log-exp` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 96

Calls

4 calls:

5.0ms	(cbrt (pow (log (sqrt (+ 1.0 x))) 3))
4.0ms	(pow (log (sqrt (+ 1.0 x))) 3)
5.0ms	(log (sqrt (+ 1.0 x)))
5.0ms	(log (sqrt (+ 1.0 x)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (pow (log (sqrt (+ 1.0 x))) 3))
17.0ms	(pow (log (sqrt (+ 1.0 x))) 3)
6.0ms	(log (sqrt (+ 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))

simplify24.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	5304	1280

prune194.0ms

Filtered

63 candidates to 108 candidates (-71.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	108	6	114

Merged error: 0.1b

Counts

114 → 6

regimes162.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	33
1	24	33

end0.0ms

sample1.8s

Algorithm

intervals

Results

945.0ms	2302×	body	1280	valid
342.0ms	1663×	body	640	valid
89.0ms	818×	body	320	valid
78.0ms	2781×	body	80	valid
51.0ms	2671×	body	80	nan
32.0ms	436×	body	160	valid

Details

sample54.0ms

simplify2.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify34.0ms

prune46.0ms

localize10.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune11.0ms

localize6.0ms

rewrite17.0ms

series23.0ms

simplify38.0ms

prune174.0ms

localize9.0ms

rewrite21.0ms

series36.0ms

simplify24.0ms

prune194.0ms

regimes162.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

Profiling