Details

sample405.0ms

Algorithm

intervals

Results

136.0ms	53×	body	1280	valid
108.0ms	20×	body	2560	valid
29.0ms	148×	body	80	valid
24.0ms	31×	body	640	valid
12.0ms	19×	body	320	valid
3.0ms	8×	body	160	valid

simplify430.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	14
1	19	14
2	41	14
3	82	14
4	122	14
5	147	14
6	156	14
7	158	14
done	158	14

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.3b	(/ 1.0 (* F F))
6.3b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.3b	(tan (* PI l))

rewrite117.0ms

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` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `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 → 85

Calls

4 calls:

8.0ms	(* PI l)
8.0ms	(/ 1.0 (* F F))
84.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
13.0ms	(tan (* PI l))

series386.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* PI l)
41.0ms	(/ 1.0 (* F F))
191.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
118.0ms	(tan (* PI l))

simplify3.8s

Counts

97 → 97

Iterations

Useful iterations: 2 (342.0ms)

Iter	Nodes	Cost
0	143	924
1	316	903
2	1013	771
3	4042	771
done	5000	771

prune404.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ (sqrt 1.0) F) (tan (* PI l)))
30.3b	(tan (* PI l))

rewrite117.0ms

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×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 96

Calls

4 calls:

7.0ms	(* PI l)
7.0ms	(* PI l)
75.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
24.0ms	(tan (* PI l))

series397.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* PI l)
22.0ms	(* PI l)
222.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
112.0ms	(tan (* PI l))

simplify2.7s

Counts

108 → 108

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	140	946
1	305	921
2	839	840
3	2766	840
done	5001	835

prune518.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(/ (* (sin (* PI l)) (sqrt 1.0)) (* (cos (* PI l)) F))
29.8b	(sin (* PI l))
30.0b	(cos (* PI l))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

7.0ms	(* PI l)
40.0ms	(/ (* (sin (* PI l)) (sqrt 1.0)) (* (cos (* PI l)) F))
15.0ms	(sin (* PI l))
11.0ms	(cos (* PI l))

series393.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* PI l)
304.0ms	(/ (* (sin (* PI l)) (sqrt 1.0)) (* (cos (* PI l)) F))
32.0ms	(sin (* PI l))
27.0ms	(cos (* PI l))

simplify1.1s

Counts

73 → 73

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	139	852
1	339	818
2	1368	665
done	5001	663

prune417.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.2b

localize28.0ms

Local error

Found 4 expressions with local error:

29.8b	(sin (* PI l))
30.0b	(cos (* PI l))
30.0b	(cos (* PI l))
30.0b	(cos (* PI l))

rewrite47.0ms

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`

Counts

4 → 36

Calls

4 calls:

15.0ms	(sin (* PI l))
16.0ms	(cos (* PI l))
7.0ms	(cos (* PI l))
7.0ms	(cos (* PI l))

series124.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (* PI l))
34.0ms	(cos (* PI l))
21.0ms	(cos (* PI l))
30.0ms	(cos (* PI l))

simplify1.8s

Counts

48 → 48

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	52	358
1	113	354
2	311	321
3	1150	318
done	5000	316

prune385.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.2b

regimes736.0ms

Accuracy

82.6% (0.9b remaining)

Error of 8.4b against oracle of 7.5b and baseline of 12.4b

bsearch3.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	87
1	58	87
done	58	87

end0.0ms

sample9.4s

Algorithm

intervals

Results

4.1s	827×	body	2560	valid
3.2s	1629×	body	1280	valid
780.0ms	948×	body	640	valid
641.0ms	4589×	body	80	valid
254.0ms	424×	body	320	valid
114.0ms	211×	body	160	valid
35.0ms	1×	body	10240	exit