Details

sample697.0ms

Algorithm

intervals

Results

85.0ms	21×	body	2560	valid
64.0ms	55×	body	1280	valid
15.0ms	30×	body	640	valid
14.0ms	147×	body	80	valid
5.0ms	14×	body	320	valid
1.0ms	6×	body	160	valid

simplify196.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	136
7	136
6	133
5	119
4	103
3	64
2	39
1	18
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize42.0ms

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))

rewrite83.0ms

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×	`cbrt-undiv` `div-exp` `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 → 77

Calls

4 calls:

5.0ms	(* PI l)
6.0ms	(/ 1.0 (* F F))
55.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
14.0ms	(tan (* PI l))

series369.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* PI l)
35.0ms	(/ 1.0 (* F F))
204.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
99.0ms	(tan (* PI l))

simplify1.5s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1162
1	328
0	135

prune502.0ms

Pruning

14 alts after pruning (13 fresh and 1 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))

rewrite65.0ms

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×	`prod-exp` `cbrt-unprod` `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 → 88

Calls

4 calls:

7.0ms	(* PI l)
11.0ms	(* PI l)
33.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
11.0ms	(tan (* PI l))

series366.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
37.0ms	(* PI l)
223.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
83.0ms	(tan (* PI l))

simplify2.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
3	2930
2	905
1	307
0	132

prune702.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 11.8b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt PI) (* (sqrt PI) l))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
30.0b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`add-cbrt-cube` `add-exp-log` `sqrt-prod`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`associate-r` `tan-quot` `*-commutative`

Counts

4 → 55

Calls

4 calls:

19.0ms	(* (sqrt PI) (* (sqrt PI) l))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
17.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series123.0ms

Counts

4 → 8

Calls

4 calls:

25.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
98.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify3.8s

Counts

63 → 63

Iterations

Iter	Nodes
done	5049
4	2808
3	1068
2	420
1	154
0	70

prune485.0ms

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 11.8b

localize47.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(sqrt PI)
30.2b	(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 47

Calls

4 calls:

1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
59.0ms	(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

series120.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
119.0ms	(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

simplify2.2s

Counts

53 → 53

Iterations

Iter	Nodes
done	5003
4	2046
3	686
2	232
1	97
0	49

prune411.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 11.8b

regimes1.2s

Accuracy

0% (0.3b remaining)

Error of 12.5b against oracle of 12.2b and baseline of 12.5b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample9.6s

Algorithm

intervals

Results

4.6s	825×	body	2560	valid
2.3s	1630×	body	1280	valid
887.0ms	976×	body	640	valid
664.0ms	412×	body	320	valid
653.0ms	4540×	body	80	valid
150.0ms	4×	body	10240	exit
56.0ms	187×	body	160	valid