Details

sample523.0ms

Algorithm

intervals

Results

177.0ms	23×	body	2560	valid
77.0ms	62×	body	1280	valid
33.0ms	1×	body	10240	exit
27.0ms	143×	body	80	valid
20.0ms	30×	body	640	valid
6.0ms	7×	body	320	valid
4.0ms	11×	body	160	valid

simplify137.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
4.9b	(* (/ 1.0 (* F F)) (tan (* PI l)))
32.0b	(tan (* PI l))

rewrite85.0ms

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:

7.0ms	(* PI l)
7.0ms	(* PI l)
56.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
10.0ms	(tan (* PI l))

series510.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* PI l)
25.0ms	(* PI l)
308.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
151.0ms	(tan (* PI l))

simplify2.8s

Counts

86 → 86

Iterations

Useful iterations: 2 (427.0ms)

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

prune407.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 13.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
32.0b	(tan (* PI l))

rewrite73.0ms

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:

7.0ms	(* PI l)
7.0ms	(* PI l)
47.0ms	(* (/ 1.0 F) (tan (* PI l)))
8.0ms	(tan (* PI l))

series344.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
27.0ms	(* PI l)
188.0ms	(* (/ 1.0 F) (tan (* PI l)))
106.0ms	(tan (* PI l))

simplify2.4s

Counts

90 → 90

Iterations

Useful iterations: 2 (237.0ms)

Iter	Nodes	Cost
0	125	736
1	277	717
2	769	639
3	2333	639
done	5000	639

prune387.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 13.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 1 F) (/ (* 1.0 (tan (* PI l))) F))
0.2b	(* PI l)
0.2b	(* PI l)
32.0b	(tan (* PI l))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
29×	`add-cbrt-cube`
28×	`add-sqr-sqrt`
19×	`associate-l`
18×	`*-un-lft-identity` `prod-exp`
17×	`add-cube-cbrt`
14×	`times-frac` `div-exp`
13×	`associate-r`
10×	`pow1` `cbrt-unprod`
7×	`cbrt-undiv`
5×	`unswap-sqr`
4×	`add-log-exp`
3×	`rec-exp` `1-exp` `pow-prod-down` `*-commutative`
2×	`div-inv`
1×	`tan-quot` `frac-times` `associate-r/` `associate-l/`

Counts

4 → 97

Calls

4 calls:

42.0ms	(* (/ 1 F) (/ (* 1.0 (tan (* PI l))) F))
7.0ms	(* PI l)
7.0ms	(* PI l)
18.0ms	(tan (* PI l))

series364.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (/ 1 F) (/ (* 1.0 (tan (* PI l))) F))
35.0ms	(* PI l)
25.0ms	(* PI l)
99.0ms	(tan (* PI l))

simplify2.2s

Counts

109 → 109

Iterations

Useful iterations: 2 (365.0ms)

Iter	Nodes	Cost
0	169	1272
1	416	1128
2	1489	924
done	5000	924

prune422.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 13.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 1.0 (tan (* PI l))) F)
0.2b	(* PI l)
0.2b	(* PI l)
32.0b	(tan (* PI l))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

29.0ms	(/ (* 1.0 (tan (* PI l))) F)
12.0ms	(* PI l)
7.0ms	(* PI l)
13.0ms	(tan (* PI l))

series363.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(/ (* 1.0 (tan (* PI l))) F)
28.0ms	(* PI l)
32.0ms	(* PI l)
114.0ms	(tan (* PI l))

simplify2.7s

Counts

78 → 78

Iterations

Useful iterations: 2 (207.0ms)

Iter	Nodes	Cost
0	112	620
1	248	599
2	759	523
3	2982	523
done	5000	523

prune311.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 13.2b

regimes413.0ms

Accuracy

0% (0.2b remaining)

Error of 12.0b against oracle of 11.7b and baseline of 12.0b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: done (4.0ms)

Iter	Nodes	Cost
0	15	21
1	20	18
done	20	16

end0.0ms

sample10.3s

Algorithm

intervals

Results

5.2s	802×	body	2560	valid
2.2s	1665×	body	1280	valid
1.1s	4519×	body	80	valid
884.0ms	998×	body	640	valid
205.0ms	382×	body	320	valid
119.0ms	4×	body	10240	exit
71.0ms	233×	body	160	valid