Details

sample411.0ms

Algorithm

intervals

Results

93.0ms	29×	body	2560	valid
33.0ms	47×	body	1280	valid
12.0ms	161×	body	80	valid
8.0ms	24×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	8×	body	160	valid

simplify82.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	14
1	18	14
2	38	14
3	73	14
4	109	14
5	130	14
6	137	14
done	137	14

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.6b	(/ 1.0 (* F F))
5.1b	(* (/ 1.0 (* F F)) (tan (* PI l)))
27.7b	(tan (* PI l))

rewrite32.0ms

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` `div-exp` `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 → 77

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(/ 1.0 (* F F))
20.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series259.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
132.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
78.0ms	(tan (* PI l))

simplify476.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	135	872
1	330	854
2	1331	722
done	5000	722

prune222.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 12.4b

localize14.0ms

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)))
27.7b	(tan (* PI l))

rewrite25.0ms

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×	`prod-exp` `cbrt-unprod` `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 → 88

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(* PI l)
15.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series273.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
20.0ms	(* PI l)
167.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
66.0ms	(tan (* PI l))

simplify354.0ms

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	134	900
1	306	877
2	976	797