Details

sample408.0ms

Algorithm

intervals

Results

167.0ms	37×	body	2560	valid
79.0ms	26×	body	640	valid
55.0ms	49×	body	1280	valid
18.0ms	149×	body	80	valid
4.0ms	11×	body	320	valid
1.0ms	4×	body	160	valid

simplify168.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	14
1	18	14
2	39	14
3	76	14
4	118	14
5	141	14
6	148	14
done	148	14

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.5b	(/ 1.0 (* F F))
2.8b	(* (/ 1.0 (* F F)) (tan (* PI l)))
29.5b	(tan (* PI l))

rewrite134.0ms

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:

14.0ms	(* PI l)
21.0ms	(/ 1.0 (* F F))
73.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
20.0ms	(tan (* PI l))

series380.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
37.0ms	(/ 1.0 (* F F))
206.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
114.0ms	(tan (* PI l))

simplify1.3s

Counts

89 → 89

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	135	872
1	339	854
2	1966	740
done	5001	726

prune355.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 14.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.2b	(* PI l)
0.2b	(* PI l)
29.5b	(tan (* PI l))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

26.0ms	(/ (tan (* PI l)) F)
14.0ms	(* PI l)
21.0ms	(* PI l)
18.0ms	(tan (* PI l))

series320.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(/ (tan (* PI l)) F)
28.0ms	(* PI l)
39.0ms	(* PI l)
97.0ms	(tan (* PI l))

simplify2.1s

Counts

84 → 84

Iterations

Useful iterations: 3 (783.0ms)

Iter	Nodes	Cost
0	106	669
1	216	646
2	677	604
3	3376	594
done	5000	594

prune297.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 14.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.7b	(/ 1 (/ F (tan (* PI l))))
29.5b	(tan (* PI l))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
55×	`add-sqr-sqrt`
51×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log`
14×	`associate-/r*`
13×	`add-cbrt-cube`
9×	`pow1`
7×	`div-exp`
6×	`associate-r` `associate-l`
5×	`tan-quot` `associate-/r/` `div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `associate-/l*`
2×	`rec-exp` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

4 → 124

Calls

4 calls:

16.0ms	(* PI l)
15.0ms	(* PI l)
48.0ms	(/ 1 (/ F (tan (* PI l))))
18.0ms	(tan (* PI l))

series342.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* PI l)
38.0ms	(* PI l)
168.0ms	(/ 1 (/ F (tan (* PI l))))
93.0ms	(tan (* PI l))

simplify1.4s

Counts

136 → 136

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	198	1637
1	471	1411
2	2529	1353
done	5000	1343

prune483.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 14.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.2b	(* (/ 1.0 F) (tan (* PI l)))
29.5b	(tan (* PI l))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

16.0ms	(* PI l)
14.0ms	(* PI l)
49.0ms	(* (/ 1.0 F) (tan (* PI l)))
19.0ms	(tan (* PI l))

series325.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* PI l)
37.0ms	(* PI l)
159.0ms	(* (/ 1.0 F) (tan (* PI l)))
101.0ms	(tan (* PI l))

simplify1.0s

Counts

90 → 90

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	125	736
1	288	717
2	1229	643
done	5000	639

prune327.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 14.8b

regimes494.0ms

Accuracy

0% (0.3b remaining)

Error of 12.3b against oracle of 12.0b and baseline of 12.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	17	16
done	17	16

end0.0ms

sample10.0s

Algorithm

intervals

Results

4.0s	773×	body	2560	valid
2.9s	1745×	body	1280	valid
878.0ms	942×	body	640	valid
787.0ms	4502×	body	80	valid
606.0ms	228×	body	160	valid
240.0ms	399×	body	320	valid
196.0ms	5×	body	10240	exit