Details

sample558.0ms

Algorithm

intervals

Results

206.0ms	35×	body	2560	valid
167.0ms	61×	body	1280	valid
34.0ms	37×	body	640	valid
28.0ms	129×	body	80	valid
6.0ms	10×	body	320	valid
3.0ms	7×	body	160	valid

simplify257.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	14
1	18	14
2	39	14
3	76	14
4	118	14
5	141	14
6	148	14
done	148	14

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.8b	(/ 1.0 (* F F))
3.7b	(* (/ 1.0 (* F F)) (tan (* PI l)))
35.0b	(tan (* PI l))

rewrite155.0ms

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:

14.0ms	(* PI l)
17.0ms	(/ 1.0 (* F F))
98.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
19.0ms	(tan (* PI l))

series433.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* PI l)
45.0ms	(/ 1.0 (* F F))
219.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
136.0ms	(tan (* PI l))

simplify1.6s

Counts

89 → 89

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	135	872
1	339	854
2	1966	740
done	5001	726

prune565.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 15.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
35.0b	(tan (* PI l))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

29.0ms	(/ (tan (* PI l)) F)
12.0ms	(* PI l)
13.0ms	(* PI l)
15.0ms	(tan (* PI l))

series348.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(/ (tan (* PI l)) F)
35.0ms	(* PI l)
37.0ms	(* PI l)
102.0ms	(tan (* PI l))

simplify2.6s

Counts

84 → 84

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	106	669
1	216	646
2	677	604
3	3376	594
done	5000	594

prune626.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 14.9b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(/ F (tan (* PI l)))
0.6b	(/ 1 (/ F (tan (* PI l))))
35.0b	(tan (* PI l))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
59×	`add-sqr-sqrt`
57×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log`
17×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`tan-quot` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

14.0ms	(* PI l)
19.0ms	(/ F (tan (* PI l)))
39.0ms	(/ 1 (/ F (tan (* PI l))))
17.0ms	(tan (* PI l))

series667.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* PI l)
276.0ms	(/ F (tan (* PI l)))
224.0ms	(/ 1 (/ F (tan (* PI l))))
123.0ms	(tan (* PI l))

simplify2.3s

Counts

146 → 146

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	211	1885
1	507	1657
2	2436	1581
done	5000	1450

prune855.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.8b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* PI l)
1.3b	(/ 1 (- (/ F (* PI l)) (* 1/3 (* F (* PI l)))))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
14×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`div-exp` `associate-/r/`
1×	`cbrt-undiv` `rec-exp` `flip3--` `pow-flip` `frac-2neg` `1-exp` `clear-num` `flip--` `div-inv` `inv-pow`

Counts

4 → 87

Calls

4 calls:

14.0ms	(* PI l)
15.0ms	(* PI l)
14.0ms	(* PI l)
126.0ms	(/ 1 (- (/ F (* PI l)) (* 1/3 (* F (* PI l)))))

series374.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* PI l)
41.0ms	(* PI l)
38.0ms	(* PI l)
257.0ms	(/ 1 (- (/ F (* PI l)) (* 1/3 (* F (* PI l)))))

simplify1.1s

Counts

99 → 99

Iterations

Useful iterations: 2 (252.0ms)

Iter	Nodes	Cost
0	105	1134
1	255	1054
2	1024	966
done	5000	966

prune583.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.4b

regimes763.0ms

Accuracy

0% (0.4b remaining)

Error of 0.8b against oracle of 0.4b and baseline of 0.8b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	25
1	23	25
done	23	25

end0.0ms

sample11.6s

Algorithm

intervals

Results

4.6s	824×	body	2560	valid
4.1s	1767×	body	1280	valid
979.0ms	4508×	body	80	valid
859.0ms	928×	body	640	valid
325.0ms	389×	body	320	valid
151.0ms	4×	body	10240	exit
79.0ms	218×	body	160	valid