Details

sample495.0ms

Algorithm

intervals

Results

150.0ms	22×	body	2560	valid
119.0ms	143×	body	80	valid
68.0ms	54×	body	1280	valid
43.0ms	22×	body	320	valid
22.0ms	30×	body	640	valid
3.0ms	10×	body	160	valid

simplify221.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(/ 1.0 (* F F))
4.1b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.8b	(tan (* PI l))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

8.0ms	(* PI l)
9.0ms	(/ 1.0 (* F F))
67.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
18.0ms	(tan (* PI l))

series562.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* PI l)
56.0ms	(/ 1.0 (* F F))
371.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
108.0ms	(tan (* PI l))

simplify3.1s

Counts

89 → 89

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	135	872
1	305	854
2	1001	722
3	3970	722
done	5001	722

prune303.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 12.0b

localize28.0ms

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)))
31.8b	(tan (* PI l))

rewrite106.0ms

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:

18.0ms	(* PI l)
15.0ms	(* PI l)
45.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
23.0ms	(tan (* PI l))

series333.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* PI l)
33.0ms	(* PI l)
197.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
75.0ms	(tan (* PI l))

simplify2.8s

Counts

100 → 100

Iterations

Useful iterations: done (2.8s)

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

prune429.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 11.9b

localize27.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (* (/ (sqrt 1.0) F) (tan (* PI l))))
31.8b	(tan (* PI l))
31.8b	(tan (* PI l))
31.8b	(tan (* PI l))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

5×	`tan-quot`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div`
1×	`cbrt-prod` `frac-times` `pow1/3` `associate-r/` `associate-l/`

Counts

4 → 36

Calls

4 calls:

29.0ms	(cbrt (* (/ (sqrt 1.0) F) (tan (* PI l))))
9.0ms	(tan (* PI l))
10.0ms	(tan (* PI l))
17.0ms	(tan (* PI l))

series853.0ms

Counts

4 → 12

Calls

4 calls:

559.0ms	(cbrt (* (/ (sqrt 1.0) F) (tan (* PI l))))
108.0ms	(tan (* PI l))
85.0ms	(tan (* PI l))
100.0ms	(tan (* PI l))

simplify3.5s

Counts

48 → 48

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	85	541
1	177	540
2	411	495
3	1271	476
4	4627	466
done	5000	466

prune409.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 11.9b

localize63.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (* (/ (sqrt 1.0) F) (tan (* PI l))))
31.8b	(tan (* PI l))
31.8b	(tan (* PI l))
31.8b	(tan (* PI l))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

5×	`tan-quot`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div`
1×	`cbrt-prod` `frac-times` `pow1/3` `associate-r/` `associate-l/`

Counts

4 → 36

Calls

4 calls:

43.0ms	(cbrt (* (/ (sqrt 1.0) F) (tan (* PI l))))
17.0ms	(tan (* PI l))
17.0ms	(tan (* PI l))
17.0ms	(tan (* PI l))

series856.0ms

Counts

4 → 12

Calls

4 calls:

567.0ms	(cbrt (* (/ (sqrt 1.0) F) (tan (* PI l))))
85.0ms	(tan (* PI l))
90.0ms	(tan (* PI l))
114.0ms	(tan (* PI l))

simplify3.5s

Counts

48 → 48

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	85	541
1	177	540
2	411	495
3	1271	476
4	4627	466
done	5000	466

prune337.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 11.9b

regimes717.0ms

Accuracy

0% (0.4b remaining)

Error of 12.4b against oracle of 12.0b and baseline of 12.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	42
1	22	42
done	22	42

end0.0ms

sample9.9s

Algorithm

intervals

Results

4.2s	815×	body	2560	valid
3.1s	1642×	body	1280	valid
721.0ms	405×	body	320	valid
696.0ms	1023×	body	640	valid
687.0ms	4530×	body	80	valid
86.0ms	3×	body	10240	exit
66.0ms	223×	body	160	valid