Details

sample374.0ms

Algorithm

intervals

Results

130.0ms	62×	body	1280	valid
100.0ms	19×	body	2560	valid
23.0ms	32×	body	640	valid
21.0ms	135×	body	80	valid
7.0ms	15×	body	320	valid
3.0ms	9×	body	160	valid

simplify202.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	14
1	18	14
2	39	14
3	76	14
4	114	14
5	136	14
6	142	14
done	142	14

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
3.5b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.2b	(tan (* PI l))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
17×	`add-exp-log` `add-cbrt-cube`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`associate-r`
6×	`prod-exp` `cbrt-unprod`
4×	`times-frac` `add-log-exp` `unswap-sqr`
3×	`tan-quot` `pow-prod-down` `*-commutative`
2×	`cbrt-undiv` `div-exp`
1×	`frac-times` `associate-r/` `associate-l/` `div-inv`

Counts

4 → 74

Calls

4 calls:

14.0ms	(* PI l)
17.0ms	(* PI l)
85.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
18.0ms	(tan (* PI l))

series380.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* PI l)
38.0ms	(* PI l)
170.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
128.0ms	(tan (* PI l))

simplify2.9s

Counts

86 → 86

Iterations

Useful iterations: 2 (208.0ms)

Iter	Nodes	Cost
0	124	790
1	288	768
2	968	658
3	3965	658
done	5001	658

prune324.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 11.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (sqrt 1.0) F) (tan (* PI l)))
31.2b	(tan (* PI l))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`associate-l`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `sqrt-prod`
9×	`associate-r`
5×	`unswap-sqr`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`tan-quot` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `div-inv`

Counts

4 → 88

Calls

4 calls:

10.0ms	(* PI l)
8.0ms	(* PI l)
69.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
10.0ms	(tan (* PI l))

series405.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* PI l)
37.0ms	(* PI l)
242.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
101.0ms	(tan (* PI l))

simplify2.7s

Counts

100 → 100

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	134	900
1	297	877
2	822	797
3	2714	797
done	5000	792

prune606.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 11.8b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
30.6b	(sin (* PI l))
30.7b	(cos (* PI l))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 50

Calls

4 calls:

9.0ms	(* PI l)
8.0ms	(* PI l)
9.0ms	(sin (* PI l))
19.0ms	(cos (* PI l))

series114.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* PI l)
35.0ms	(* PI l)
25.0ms	(sin (* PI l))
30.0ms	(cos (* PI l))

simplify2.1s

Counts

62 → 62

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	74	366
1	151	352
2	390	318
3	1336	318
done	5000	316

prune321.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.3b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt l)
0.5b	(cbrt l)
30.6b	(sin (* PI l))
30.9b	(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`pow1/3`

Counts

4 → 36

Calls

4 calls:

1.0ms	(cbrt l)
1.0ms	(cbrt l)
12.0ms	(sin (* PI l))
70.0ms	(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

series578.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt l)
230.0ms	(cbrt l)
32.0ms	(sin (* PI l))
35.0ms	(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify1.7s

Counts

48 → 48

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	73	360
1	151	352
2	389	278
3	1320	248
done	5001	246

prune302.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.3b

regimes760.0ms

Accuracy

84.9% (0.7b remaining)

Error of 8.5b against oracle of 7.8b and baseline of 12.6b

bsearch3.0ms

simplify18.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	101
1	63	101
done	63	101

end0.0ms

sample9.8s

Algorithm

intervals

Results

4.1s	801×	body	2560	valid
3.5s	1711×	body	1280	valid
696.0ms	4522×	body	80	valid
642.0ms	888×	body	640	valid
242.0ms	429×	body	320	valid
159.0ms	5×	body	10240	exit
57.0ms	199×	body	160	valid