Details

sample535.0ms

Algorithm

intervals

Results

155.0ms	24×	body	2560	valid
150.0ms	49×	body	1280	valid
43.0ms	153×	body	80	valid
40.0ms	31×	body	640	valid
12.0ms	13×	body	320	valid
2.0ms	4×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
7	2002
6	817
5	388
4	156
3	86
2	43
1	20
0	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
3.9b	(/ (tan (* PI l)) (* F F))
27.8b	(tan (* PI l))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`times-frac` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `tan-quot` `*-commutative` `unswap-sqr`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv` `associate-/l/`

Counts

4 → 70

Calls

4 calls:

5.0ms	(* PI l)
9.0ms	(* PI l)
37.0ms	(/ (tan (* PI l)) (* F F))
19.0ms	(tan (* PI l))

series338.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* PI l)
36.0ms	(* PI l)
157.0ms	(/ (tan (* PI l)) (* F F))
104.0ms	(tan (* PI l))

simplify1.1s

Counts

82 → 82

Iterations

Iter	Nodes
done	2000
3	2000
2	709
1	230
0	102

prune541.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
27.8b	(tan (* PI l))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
9×	`times-frac`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow-prod-down` `prod-exp` `tan-quot` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`

Counts

4 → 76

Calls

4 calls:

22.0ms	(/ (tan (* PI l)) F)
10.0ms	(* PI l)
11.0ms	(* PI l)
17.0ms	(tan (* PI l))

series328.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(/ (tan (* PI l)) F)
41.0ms	(* PI l)
35.0ms	(* PI l)
109.0ms	(tan (* PI l))

simplify1.4s

Counts

88 → 88

Iterations

Iter	Nodes
done	2029
4	2029
3	1729
2	583
1	221
0	108

prune511.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (tan (* PI l)) (/ 1 F))
27.8b	(tan (* PI l))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
19×	`associate-r`
17×	`*-un-lft-identity` `add-exp-log`
16×	`add-cube-cbrt`
13×	`add-cbrt-cube`
11×	`times-frac`
10×	`pow1`
9×	`associate-l`
6×	`prod-exp`
5×	`unswap-sqr`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `tan-quot` `*-commutative`
2×	`div-exp`
1×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-l/` `associate-r/` `un-div-inv` `div-inv`

Counts

4 → 86

Calls

4 calls:

11.0ms	(* PI l)
11.0ms	(* PI l)
50.0ms	(* (tan (* PI l)) (/ 1 F))
8.0ms	(tan (* PI l))

series311.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* PI l)
39.0ms	(* PI l)
144.0ms	(* (tan (* PI l)) (/ 1 F))
88.0ms	(tan (* PI l))

simplify1.1s

Counts

98 → 98

Iterations

Iter	Nodes
done	2013
3	2013
2	882
1	319
0	135

prune544.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
27.8b	(tan (* PI l))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
9×	`times-frac`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow-prod-down` `prod-exp` `tan-quot` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`

Counts

4 → 76

Calls

4 calls:

22.0ms	(/ (tan (* PI l)) F)
11.0ms	(* PI l)
10.0ms	(* PI l)
16.0ms	(tan (* PI l))

series333.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(/ (tan (* PI l)) F)
25.0ms	(* PI l)
38.0ms	(* PI l)
119.0ms	(tan (* PI l))

simplify1.5s

Counts

88 → 88

Iterations

Iter	Nodes
done	2029
4	2029
3	1729
2	583
1	221
0	108

prune447.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.6b

regimes561.0ms

Accuracy

58.6% (2.3b remaining)

Error of 9.1b against oracle of 6.7b and baseline of 12.4b

bsearch3.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	29
1	29
0	25

end0.0ms

sample13.7s

Algorithm

intervals

Results

5.1s	857×	body	2560	valid
4.2s	1717×	body	1280	valid
1.6s	4497×	body	80	valid
1.2s	907×	body	640	valid
772.0ms	401×	body	320	valid
329.0ms	10×	body	10240	exit
114.0ms	214×	body	160	valid