Details

sample925.0ms

Algorithm

intervals

Results

152.0ms	21×	body	2560	valid
89.0ms	55×	body	1280	valid
56.0ms	147×	body	80	valid
26.0ms	30×	body	640	valid
8.0ms	14×	body	320	valid
2.0ms	6×	body	160	valid

simplify230.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	142
7	142
6	139
5	125
4	109
3	70
2	41
1	19
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.7b	(/ 1.0 (* F F))
3.2b	(* (/ 1.0 (* F F)) (tan (* PI l)))
29.9b	(tan (* PI l))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`pow1`
7×	`times-frac`
6×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `cbrt-undiv` `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` `clear-num` `associate-/r` `frac-2neg` `associate-l/` `associate-*r/`

Counts

4 → 85

Calls

4 calls:

12.0ms	(* PI l)
13.0ms	(/ 1.0 (* F F))
76.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
8.0ms	(tan (* PI l))

series460.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* PI l)
51.0ms	(/ 1.0 (* F F))
251.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
124.0ms	(tan (* PI l))

simplify1.7s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1224
1	343
0	143

prune603.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.9b

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)))
29.9b	(tan (* PI l))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`associate-l`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
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×	`pow-prod-down` `tan-quot` `*-commutative`
1×	`frac-times` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `div-inv`

Counts

4 → 96

Calls

4 calls:

11.0ms	(* PI l)
11.0ms	(* PI l)
38.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
6.0ms	(tan (* PI l))

series371.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* PI l)
29.0ms	(* PI l)
226.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
92.0ms	(tan (* PI l))

simplify2.4s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
3	2961
2	915
1	317
0	138

prune871.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 11.8b

localize79.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (sqrt 1.0) F))
0.6b	(cbrt (/ (sqrt 1.0) F))
0.6b	(cbrt (/ (sqrt 1.0) F))
29.9b	(tan (* PI l))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

66×	`cbrt-prod`
54×	`times-frac`
43×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`sqrt-prod`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`tan-quot`

Counts

4 → 109

Calls

4 calls:

6.0ms	(cbrt (/ (sqrt 1.0) F))
6.0ms	(cbrt (/ (sqrt 1.0) F))
6.0ms	(cbrt (/ (sqrt 1.0) F))
13.0ms	(tan (* PI l))

series1.4s

Counts

4 → 12

Calls

4 calls:

414.0ms	(cbrt (/ (sqrt 1.0) F))
445.0ms	(cbrt (/ (sqrt 1.0) F))
433.0ms	(cbrt (/ (sqrt 1.0) F))
129.0ms	(tan (* PI l))

simplify2.3s

Counts

121 → 121

Iterations

Iter	Nodes
done	5002
4	2483
3	922
2	390
1	209
0	129

prune1.0s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 11.8b

localize63.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt F)
0.6b	(cbrt (/ (sqrt 1.0) F))
0.6b	(cbrt (/ (sqrt 1.0) F))
29.9b	(tan (* PI l))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

47×	`cbrt-prod`
36×	`times-frac`
31×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`sqrt-prod`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-div` `div-inv`
1×	`tan-quot`

Counts

4 → 89

Calls

4 calls:

1.0ms	(cbrt F)
6.0ms	(cbrt (/ (sqrt 1.0) F))
6.0ms	(cbrt (/ (sqrt 1.0) F))
13.0ms	(tan (* PI l))

series1.2s

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt F)
443.0ms	(cbrt (/ (sqrt 1.0) F))
402.0ms	(cbrt (/ (sqrt 1.0) F))
126.0ms	(tan (* PI l))

simplify3.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
4	4779
3	1305
2	498
1	245
0	145

prune873.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 11.8b

regimes1.2s

Accuracy

0% (0.4b remaining)

Error of 12.6b against oracle of 12.2b and baseline of 12.6b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample9.7s

Algorithm

intervals

Results

4.5s	825×	body	2560	valid
2.9s	1630×	body	1280	valid
816.0ms	976×	body	640	valid
726.0ms	4540×	body	80	valid
172.0ms	412×	body	320	valid
151.0ms	4×	body	10240	exit
116.0ms	187×	body	160	valid