Details

sample132.0ms

Algorithm

intervals

Results

56.0ms	36×	body	1280	valid
20.0ms	14×	body	2560	valid
16.0ms	142×	body	80	valid
14.0ms	30×	body	640	valid
8.0ms	23×	body	320	valid
3.0ms	11×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.1b

localize18.0ms

Local error

Found 3 expressions with local error:

8.9b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
25.6b	(tan (/ x (* y 2.0)))
26.1b	(sin (/ x (* y 2.0)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 49

Calls

3 calls:

20.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
6.0ms	(tan (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))

series159.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
71.0ms	(tan (/ x (* y 2.0)))
13.0ms	(sin (/ x (* y 2.0)))

simplify2.1s

Counts

58 → 58

Iterations

Useful iterations: 3 (233.0ms)

Iter	Nodes	Cost
0	83	878
1	147	865
2	330	789
3	813	785
4	2529	785
done	5000	785

prune301.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.3b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune41.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 23.3b

localize10.0ms

Local error

Found 1 expressions with local error:

15.8b

(/ (pow x 2) (pow y 2))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
54×	`unpow-prod-down`
37×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`unpow2` `sqr-pow`
13×	`add-exp-log`
9×	`div-exp`
8×	`associate-/r` `associate-/l`
6×	`pow-to-exp` `pow-exp`
3×	`add-cbrt-cube`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 102

Calls

1 calls:

13.0ms

(/ (pow x 2) (pow y 2))

series36.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(/ (pow x 2) (pow y 2))

simplify2.6s

Counts

105 → 105

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	163	1487
1	251	1305
2	619	1013
3	2867	1005
done	5000	995

prune285.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 23.3b

localize47.0ms

Local error

Found 4 expressions with local error:

25.6b	(tan (/ x (* y 2.0)))
26.1b	(sin (/ x (* y 2.0)))
26.1b	(sin (/ x (* y 2.0)))
26.1b	(sin (/ x (* y 2.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`tan-quot`

Counts

4 → 37

Calls

4 calls:

3.0ms	(tan (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))
6.0ms	(sin (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(tan (/ x (* y 2.0)))
22.0ms	(sin (/ x (* y 2.0)))
20.0ms	(sin (/ x (* y 2.0)))
13.0ms	(sin (/ x (* y 2.0)))

simplify2.1s

Counts

49 → 49

Iterations

Useful iterations: 4 (750.0ms)

Iter	Nodes	Cost
0	37	412
1	62	410
2	133	362
3	429	362
4	1867	358
done	5000	358

prune294.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 23.2b

regimes400.0ms

Accuracy

39% (1.5b remaining)

Error of 27.8b against oracle of 26.3b and baseline of 28.7b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	32
1	16	32
done	16	32

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.0s	609×	body	2560	valid
1.8s	1412×	body	1280	valid
1.4s	1016×	body	640	valid
768.0ms	4058×	body	80	valid
391.0ms	588×	body	320	valid
244.0ms	317×	body	160	valid