Details

sample263.0ms

Algorithm

intervals

Results

122.0ms	20×	body	2560	valid
48.0ms	53×	body	1280	valid
16.0ms	148×	body	80	valid
14.0ms	31×	body	640	valid
6.0ms	19×	body	320	valid
2.0ms	8×	body	160	valid

simplify183.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	14
1	19	14
2	41	14
3	82	14
4	122	14
5	147	14
6	156	14
7	158	14
done	158	14

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.3b	(/ 1.0 (* F F))
6.3b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.3b	(tan (* PI l))

rewrite111.0ms

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` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `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 → 85

Calls

4 calls:

10.0ms	(* PI l)
18.0ms	(/ 1.0 (* F F))
69.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
10.0ms	(tan (* PI l))

series401.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* PI l)
49.0ms	(/ 1.0 (* F F))
207.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
103.0ms	(tan (* PI l))

simplify3.1s

Counts

97 → 97

Iterations

Useful iterations: 2 (310.0ms)

Iter	Nodes	Cost
0	143	924
1	316	903
2	1013	771
3	4042	771
done	5000	771

prune416.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.2b

localize16.0ms

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)))
30.3b	(tan (* PI l))

rewrite120.0ms

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×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 96

Calls

4 calls:

20.0ms	(* PI l)
14.0ms	(* PI l)
71.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
9.0ms	(tan (* PI l))

series426.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* PI l)
40.0ms	(* PI l)
245.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
104.0ms	(tan (* PI l))

simplify2.5s

Counts

108 → 108

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	140	946
1	305	921
2	839	840
3	2766	840
done	5001	835

prune542.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (sqrt 1.0) (tan (* PI l))) F)
0.2b	(* PI l)
0.2b	(* PI l)
30.3b	(tan (* PI l))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`tan-quot` `cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `clear-num` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 74

Calls

4 calls:

33.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
8.0ms	(* PI l)
21.0ms	(* PI l)
18.0ms	(tan (* PI l))

series499.0ms

Counts

4 → 12

Calls

4 calls:

321.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
40.0ms	(* PI l)
38.0ms	(* PI l)
101.0ms	(tan (* PI l))

simplify2.9s

Counts

86 → 86

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	119	701
1	267	669
2	848	595
3	3679	594
done	5000	594

prune548.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.2b

localize38.0ms

Local error

Found 4 expressions with local error:

6.6b	(cbrt (/ (* (sqrt 1.0) (tan (* PI l))) F))
30.3b	(tan (* PI l))
30.3b	(tan (* PI l))
30.3b	(tan (* PI l))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

7×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot` `times-frac`
1×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 48

Calls

4 calls:

6.0ms	(cbrt (/ (* (sqrt 1.0) (tan (* PI l))) F))
9.0ms	(tan (* PI l))
12.0ms	(tan (* PI l))
17.0ms	(tan (* PI l))

series801.0ms

Counts

4 → 12

Calls

4 calls:

470.0ms	(cbrt (/ (* (sqrt 1.0) (tan (* PI l))) F))
124.0ms	(tan (* PI l))
126.0ms	(tan (* PI l))
80.0ms	(tan (* PI l))

simplify1.5s

Counts

60 → 60

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	99	675
1	194	664
2	457	619
3	1425	601
done	5000	589

prune412.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.1b

regimes594.0ms

Accuracy

0% (0.4b remaining)

Error of 12.4b against oracle of 12.0b and baseline of 12.4b

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	42
1	22	42
done	22	42

end0.0ms

sample9.6s

Algorithm

intervals

Results

5.0s	827×	body	2560	valid
2.3s	1629×	body	1280	valid
872.0ms	4589×	body	80	valid
739.0ms	948×	body	640	valid
181.0ms	424×	body	320	valid
60.0ms	211×	body	160	valid
26.0ms	1×	body	10240	exit