Details

sample402.0ms

Algorithm

intervals

Results

162.0ms	31×	body	2560	valid
72.0ms	55×	body	1280	valid
25.0ms	35×	body	640	valid
19.0ms	140×	body	80	valid
8.0ms	18×	body	320	valid
2.0ms	5×	body	160	valid

simplify219.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.6b	(/ 1.0 (* F F))
4.4b	(* (/ 1.0 (* F F)) (tan (* PI l)))
32.8b	(tan (* PI l))

rewrite109.0ms

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:

10.0ms	(* PI l)
12.0ms	(/ 1.0 (* F F))
74.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
7.0ms	(tan (* PI l))

series370.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* PI l)
29.0ms	(/ 1.0 (* F F))
194.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
110.0ms	(tan (* PI l))

simplify1.5s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1162
1	328
0	135

prune512.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 14.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.4b	(* (/ (sqrt 1.0) F) (tan (* PI l)))
32.8b	(tan (* PI l))

rewrite47.0ms

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:

5.0ms	(* PI l)
5.0ms	(* PI l)
28.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
6.0ms	(tan (* PI l))

series382.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* PI l)
24.0ms	(* PI l)
254.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
77.0ms	(tan (* PI l))

simplify2.1s

Counts

100 → 100

Iterations

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

prune666.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 14.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
32.8b	(tan (* PI l))

rewrite43.0ms

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×	`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 → 72

Calls

4 calls:

13.0ms	(/ (tan (* PI l)) F)
15.0ms	(* PI l)
7.0ms	(* PI l)
6.0ms	(tan (* PI l))

series353.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(/ (tan (* PI l)) F)
38.0ms	(* PI l)
45.0ms	(* PI l)
99.0ms	(tan (* PI l))

simplify2.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	1719
2	571
1	217
0	105

prune669.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 14.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ (sqrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
32.6b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`associate-l`
20×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
16×	`sqrt-prod`
9×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
4×	`add-log-exp`
3×	`associate-r` `tan-quot` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `prod-exp` `cbrt-unprod`
1×	`frac-times` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `div-inv`

Counts

4 → 78

Calls

4 calls:

85.0ms	(* (/ (sqrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
42.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series385.0ms

Counts

4 → 8

Calls

4 calls:

289.0ms	(* (/ (sqrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
96.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify1.9s

Counts

86 → 86

Iterations

Iter	Nodes
done	5012
3	2389
2	814
1	285
0	127

prune574.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 14.2b

regimes1.0s

Accuracy

0% (0.3b remaining)

Error of 12.4b against oracle of 12.1b and baseline of 12.4b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample9.7s

Algorithm

intervals

Results

5.1s	779×	body	2560	valid
2.4s	1752×	body	1280	valid
822.0ms	4542×	body	80	valid
610.0ms	938×	body	640	valid
199.0ms	396×	body	320	valid
170.0ms	6×	body	10240	exit
61.0ms	203×	body	160	valid