Details

sample79.0ms

Algorithm

intervals

Results

25.0ms	51×	body	1280	valid
17.0ms	19×	body	2560	valid
11.0ms	140×	body	80	valid
10.0ms	29×	body	640	valid
3.0ms	13×	body	320	valid
1.0ms	4×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13
2	13	13
done	13	13

prune3.0ms

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: 36.4b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ x (* y 2.0))
8.6b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.0b	(sin (/ x (* y 2.0)))
27.2b	(tan (/ x (* y 2.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `associate-/r*` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`tan-quot` `frac-2neg` `clear-num` `div-inv`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 64

Calls

4 calls:

12.0ms	(/ x (* y 2.0))
6.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ x (* y 2.0))
20.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
15.0ms	(tan (/ x (* y 2.0)))

simplify1.3s

Counts

76 → 76

Iterations

Useful iterations: 3 (567.0ms)

Iter	Nodes	Cost
0	117	1007
1	229	991
2	783	898
3	3124	885
done	5000	885

prune254.0ms

Filtered

61 candidates to 76 candidates (-24.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	56	20	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	20	77

Merged error: 23.9b

Counts

77 → 20

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune76.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	19	19
Picked	1	1
Done	0	0
Total	20	20

Merged error: 23.9b

Counts

20 → 20

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ x (* y 2.0))
8.6b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.0b	(sin (/ x (* y 2.0)))
27.2b	(tan (/ x (* y 2.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `associate-/r*` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`tan-quot` `frac-2neg` `clear-num` `div-inv`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 64

Calls

4 calls:

5.0ms	(/ x (* y 2.0))
6.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ x (* y 2.0))
19.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
16.0ms	(tan (/ x (* y 2.0)))

simplify1.1s

Counts

76 → 76

Iterations

Useful iterations: 3 (582.0ms)

Iter	Nodes	Cost
0	117	1007
1	229	991
2	783	898
3	3124	885
done	5000	885

prune264.0ms

Filtered

61 candidates to 76 candidates (-24.6%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	68	8	76
Fresh	6	12	18
Picked	1	0	1
Done	0	1	1
Total	75	21	96

Merged error: 23.9b

Counts

96 → 21

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ x (* y 2.0))
8.6b	(/ (tan (/ x (* y 2.0))) (sin (* (/ 1 y) (/ x 2.0))))
26.8b	(sin (* (/ 1 y) (/ x 2.0)))
27.2b	(tan (/ x (* y 2.0)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `associate-/r*` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`tan-quot` `frac-2neg` `clear-num` `div-inv`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 64

Calls

4 calls:

5.0ms	(/ x (* y 2.0))
6.0ms	(/ (tan (/ x (* y 2.0))) (sin (* (/ 1 y) (/ x 2.0))))
2.0ms	(sin (* (/ 1 y) (/ x 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ x (* y 2.0))
20.0ms	(/ (tan (/ x (* y 2.0))) (sin (* (/ 1 y) (/ x 2.0))))
4.0ms	(sin (* (/ 1 y) (/ x 2.0)))
19.0ms	(tan (/ x (* y 2.0)))

simplify1.1s

Counts

76 → 76

Iterations

Useful iterations: 3 (540.0ms)

Iter	Nodes	Cost
0	119	1107
1	236	1091
2	804	893
3	3413	881
done	5000	881

prune184.0ms

Filtered

62 candidates to 76 candidates (-22.6%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	68	8	76
Fresh	2	17	19
Picked	1	0	1
Done	0	1	1
Total	71	26	97

Merged error: 23.6b

Counts

97 → 26

regimes736.0ms

Accuracy

0% (3.3b remaining)

Error of 28.1b against oracle of 24.9b and baseline of 28.1b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample2.4s

Algorithm

intervals

Results

684.0ms	1392×	body	1280	valid
607.0ms	672×	body	2560	valid
335.0ms	4139×	body	80	valid
317.0ms	953×	body	640	valid
131.0ms	542×	body	320	valid
54.0ms	302×	body	160	valid

Details

sample79.0ms

simplify5.0ms

prune3.0ms

localize9.0ms

rewrite24.0ms

series43.0ms

simplify1.3s

prune254.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune76.0ms

localize12.0ms

rewrite19.0ms

series42.0ms

simplify1.1s

prune264.0ms

localize16.0ms

rewrite18.0ms

series46.0ms

simplify1.1s

prune184.0ms

regimes736.0ms

bsearch0.0ms

simplify0.0ms

end0.0ms

sample2.4s

Profiling