Details

sample997.0ms

Algorithm

intervals

Results

294.0ms	49×	body	1280	valid
234.0ms	32×	body	2560	valid
117.0ms	17×	body	320	valid
68.0ms	28×	body	640	valid
44.0ms	143×	body	80	valid
32.0ms	3×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
6	880
5	396
4	166
3	91
2	45
1	21
0	10

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.7b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
6.1b	(/ (tan (* PI l)) (* F F))
29.3b	(tan (* PI l))

rewrite90.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 78

Calls

4 calls:

12.0ms	(* PI l)
21.0ms	(* PI l)
31.0ms	(/ (tan (* PI l)) (* F F))
20.0ms	(tan (* PI l))

series418.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* PI l)
24.0ms	(* PI l)
214.0ms	(/ (tan (* PI l)) (* F F))
144.0ms	(tan (* PI l))

simplify545.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	2001
2	719
1	240
0	108

prune506.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.9b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
28.7b	(cos (* PI l))
29.0b	(sin (* PI l))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

7.0ms	(* PI l)
6.0ms	(* PI l)
9.0ms	(cos (* PI l))
9.0ms	(sin (* PI l))

series159.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* PI l)
39.0ms	(* PI l)
31.0ms	(cos (* PI l))
49.0ms	(sin (* PI l))

simplify983.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	2021
3	1639
2	469
1	172
0	83

prune436.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.9b

localize44.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
28.7b	(cos (* PI l))
29.2b	(sin (* (sqrt PI) (* (sqrt PI) l)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 52

Calls

4 calls:

2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
16.0ms	(cos (* PI l))
48.0ms	(sin (* (sqrt PI) (* (sqrt PI) l)))

series71.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
19.0ms	(cos (* PI l))
51.0ms	(sin (* (sqrt PI) (* (sqrt PI) l)))

simplify778.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	2001
3	1134
2	376
1	143
0	74

prune509.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.9b

localize47.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
28.7b	(cos (* PI l))
29.1b	(sin (* (sqrt PI) (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) l)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 52

Calls

4 calls:

2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
9.0ms	(cos (* PI l))
72.0ms	(sin (* (sqrt PI) (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) l)))

series90.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
33.0ms	(cos (* PI l))
57.0ms	(sin (* (sqrt PI) (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) l)))

simplify905.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	2016
3	1442
2	399
1	151
0	75

prune471.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.9b

regimes657.0ms

Accuracy

91.3% (0.4b remaining)

Error of 8.3b against oracle of 7.9b and baseline of 12.1b

bsearch2.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	33
1	33
0	27

end0.0ms

sample12.0s

Algorithm

intervals

Results

4.8s	804×	body	2560	valid
3.3s	1698×	body	1280	valid
2.0s	4597×	body	80	valid
1.0s	905×	body	640	valid
357.0ms	418×	body	320	valid
206.0ms	6×	body	10240	exit
105.0ms	208×	body	160	valid