Details

sample564.0ms

Algorithm

intervals

Results

210.0ms	30×	body	2560	valid
107.0ms	56×	body	1280	valid
58.0ms	31×	body	640	valid
56.0ms	143×	body	80	valid
4.0ms	10×	body	160	valid
2.0ms	4×	body	320	valid

simplify232.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	164
7	164
6	162
5	152
4	126
3	82
2	41
1	19
0	10

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.3b

localize72.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
30.4b	(tan (* PI l))

rewrite99.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 80

Calls

4 calls:

18.0ms	(/ (tan (* PI l)) F)
15.0ms	(* PI l)
46.0ms	(* PI l)
16.0ms	(tan (* PI l))

series455.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(/ (tan (* PI l)) F)
38.0ms	(* PI l)
40.0ms	(* PI l)
174.0ms	(tan (* PI l))

simplify1.8s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
3	3422
2	695
1	226
0	111

prune721.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 15.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.8b	(/ 1 (/ F (tan (* PI l))))
30.4b	(tan (* PI l))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
55×	`add-sqr-sqrt`
51×	`*-un-lft-identity` `add-cube-cbrt`
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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/l*`
2×	`rec-exp` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`

Counts

4 → 132

Calls

4 calls:

11.0ms	(* PI l)
6.0ms	(* PI l)
16.0ms	(/ 1 (/ F (tan (* PI l))))
9.0ms	(tan (* PI l))

series347.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
33.0ms	(* PI l)
188.0ms	(/ 1 (/ F (tan (* PI l))))
102.0ms	(tan (* PI l))

simplify1.1s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
2	2129
1	481
0	204

prune797.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 15.1b

localize61.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ 1 (/ F (tan (* (sqrt PI) (* (sqrt PI) l)))))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
30.4b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
51×	`add-sqr-sqrt`
49×	`*-un-lft-identity` `add-cube-cbrt`
15×	`add-exp-log`
14×	`associate-/r*`
9×	`add-cbrt-cube`
7×	`pow1` `div-exp`
6×	`sqrt-prod`
5×	`tan-quot` `associate-/r/` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/l*`
2×	`rem-sqrt-square` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp`
1×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`

Counts

4 → 122

Calls

4 calls:

49.0ms	(/ 1 (/ F (tan (* (sqrt PI) (* (sqrt PI) l)))))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
23.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series262.0ms

Counts

4 → 8

Calls

4 calls:

169.0ms	(/ 1 (/ F (tan (* (sqrt PI) (* (sqrt PI) l)))))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
93.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify1.4s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	1838
1	455
0	196

prune787.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 15.0b

localize62.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(sqrt PI)
30.8b	(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`tan-quot`

Counts

4 → 55

Calls

4 calls:

1.0ms	(sqrt PI)
2.0ms	(sqrt PI)
1.0ms	(sqrt PI)
55.0ms	(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

series94.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
94.0ms	(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

simplify754.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
3	1118
2	271
1	103
0	53

prune432.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 15.0b

regimes1.0s

Accuracy

0% (0.3b remaining)

Error of 12.7b against oracle of 12.4b and baseline of 12.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	17

end0.0ms

sample9.5s

Algorithm

intervals

Results

4.1s	871×	body	2560	valid
2.4s	1652×	body	1280	valid
1.5s	976×	body	640	valid
726.0ms	4502×	body	80	valid
168.0ms	378×	body	320	valid
98.0ms	3×	body	10240	exit
60.0ms	218×	body	160	valid