Details

sample61.0ms

Algorithm

intervals

Results

31.0ms	68×	body	1280	valid
11.0ms	53×	body	640	valid
4.0ms	32×	body	320	valid
2.0ms	86×	body	80	valid
1.0ms	86×	body	80	nan
1.0ms	17×	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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 40.4b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

6.2b	(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:

3.0ms

(log (+ 1.0 x))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(log (+ 1.0 x))

simplify37.0ms

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

prune50.0ms

Filtered

18 candidates to 13 candidates (27.8%)

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: 0.1b

Counts

19 → 5

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

20.0ms

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify54.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	531	638
1	2305	526
2	5001	525

prune386.0ms

Filtered

113 candidates to 68 candidates (39.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0.1b

Counts

118 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (log (+ 1.0 x)))
6.2b	(log (+ 1.0 x))
6.2b	(log (+ 1.0 x))
6.2b	(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))

series359.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (log (+ 1.0 x)))
51.0ms	(log (+ 1.0 x))
57.0ms	(log (+ 1.0 x))
58.0ms	(log (+ 1.0 x))

simplify106.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (100.0ms)

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

prune240.0ms

Filtered

69 candidates to 51 candidates (26.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	70	4	74

Merged error: 0.1b

Counts

74 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

6.2b	(log (+ 1.0 x))
6.2b	(log (+ 1.0 x))
6.3b	(log (sqrt (+ 1.0 x)))
6.3b	(log (sqrt (+ 1.0 x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))
4.0ms	(log (sqrt (+ 1.0 x)))
7.0ms	(log (sqrt (+ 1.0 x)))

series451.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(log (+ 1.0 x))
57.0ms	(log (+ 1.0 x))
171.0ms	(log (sqrt (+ 1.0 x)))
172.0ms	(log (sqrt (+ 1.0 x)))

simplify84.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	241	534
1	731	488
2	2931	468
3	5001	460

prune400.0ms

Filtered

82 candidates to 62 candidates (24.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	81	5	86

Merged error: 0.1b

Counts

86 → 5

regimes149.0ms

Accuracy

97.6% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 21.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	11
1	20	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.0s	2272×	body	1280	valid
360.0ms	1619×	body	640	valid
100.0ms	863×	body	320	valid
70.0ms	2830×	body	80	valid
43.0ms	2636×	body	80	nan
29.0ms	416×	body	160	valid

Details

sample61.0ms

simplify3.0ms

prune3.0ms

localize4.0ms

rewrite4.0ms

series56.0ms

simplify37.0ms

prune50.0ms

localize10.0ms

rewrite26.0ms

series67.0ms

simplify54.0ms

prune386.0ms

localize7.0ms

rewrite12.0ms

series359.0ms

simplify106.0ms

prune240.0ms

localize13.0ms

rewrite19.0ms

series451.0ms

simplify84.0ms

prune400.0ms

regimes149.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling