Details

sample61.0ms

Algorithm

intervals

Results

30.0ms	65×	body	1280	valid
13.0ms	56×	body	640	valid
4.0ms	33×	body	320	valid
2.0ms	83×	body	80	valid
2.0ms	92×	body	80	nan
1.0ms	19×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 40.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.7b	(log (+ 1.0 x))

rewrite3.0ms

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:

3.0ms

(log (+ 1.0 x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(log (+ 1.0 x))

simplify43.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	122	95
1	327	86
2	1161	81
3	5002	78

prune37.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Merged error: 0.0b

Counts

19 → 5

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
2×	`diff-log` `associate-*r/` `frac-sub`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `flip3-+` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+`

Counts

1 → 16

Calls

1 calls:

6.0ms

(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify122.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	181	250
1	733	231
2	4310	220
3	5001	220

prune51.0ms

Filtered

19 candidates to 14 candidates (73.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	18	6	24

Merged error: 0.0b

Counts

24 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (log (+ 1.0 x)))
5.7b	(log (+ 1.0 x))
5.7b	(log (+ 1.0 x))
5.7b	(log (+ 1.0 x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`log-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log`
6×	`log-div`
4×	`cbrt-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (log (+ 1.0 x)))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

series270.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (log (+ 1.0 x)))
39.0ms	(log (+ 1.0 x))
44.0ms	(log (+ 1.0 x))
39.0ms	(log (+ 1.0 x))

simplify108.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	306	453
1	946	413
2	3951	370
3	5002	368

prune151.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (log (+ 1.0 x)) 3)
5.7b	(log (+ 1.0 x))
5.7b	(log (+ 1.0 x))
5.7b	(log (+ 1.0 x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

3.0ms	(pow (log (+ 1.0 x)) 3)
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

series216.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(pow (log (+ 1.0 x)) 3)
40.0ms	(log (+ 1.0 x))
45.0ms	(log (+ 1.0 x))
40.0ms	(log (+ 1.0 x))

simplify49.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	380	490
1	1561	461
2	5002	442

prune196.0ms

Filtered

82 candidates to 57 candidates (69.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	82	6	88

Merged error: 0.0b

Counts

88 → 6

regimes105.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 22.1b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	2188×	body	1280	valid
394.0ms	1667×	body	640	valid
107.0ms	857×	body	320	valid
83.0ms	2860×	body	80	valid
51.0ms	2762×	body	80	nan
31.0ms	428×	body	160	valid

Details

sample61.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite3.0ms

series41.0ms

simplify43.0ms

prune37.0ms

localize10.0ms

rewrite7.0ms

series43.0ms

simplify122.0ms

prune51.0ms

localize7.0ms

rewrite12.0ms

series270.0ms

simplify108.0ms

prune151.0ms

localize16.0ms

rewrite14.0ms

series216.0ms

simplify49.0ms

prune196.0ms

regimes105.0ms

bsearch2.0ms

simplify1.0ms

end0.0ms

sample1.8s

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