Details

sample433.0ms

Algorithm

intervals

Results

89.0ms	20×	body	2560	valid
77.0ms	148×	body	80	valid
60.0ms	53×	body	1280	valid
19.0ms	31×	body	640	valid
10.0ms	19×	body	320	valid
3.0ms	8×	body	160	valid

simplify332.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	14
1	18	14
2	39	14
3	76	14
4	114	14
5	136	14
6	142	14
done	142	14

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize35.0ms

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))

rewrite152.0ms

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:

8.0ms	(* PI l)
18.0ms	(/ 1.0 (* F F))
100.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
23.0ms	(tan (* PI l))

series402.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* PI l)
57.0ms	(/ 1.0 (* F F))
199.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
120.0ms	(tan (* PI l))

simplify3.5s

Counts

89 → 89

Iterations

Useful iterations: 2 (242.0ms)

Iter	Nodes	Cost
0	135	872
1	305	854
2	1001	722
3	3970	722
done	5001	722

prune367.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.2b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`associate-l`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `times-frac`
9×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`tan-quot` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `div-inv`

Counts

4 → 78

Calls

4 calls:

8.0ms	(* PI l)
8.0ms	(* PI l)
53.0ms	(* (/ 1.0 F) (tan (* PI l)))
28.0ms	(tan (* PI l))

series382.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
25.0ms	(* PI l)
219.0ms	(* (/ 1.0 F) (tan (* PI l)))
115.0ms	(tan (* PI l))

simplify2.7s

Counts

90 → 90

Iterations

Useful iterations: 2 (174.0ms)

Iter	Nodes	Cost
0	125	736
1	277	717
2	769	639
3	2333	639
done	5000	639

prune450.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.2b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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:

20.0ms	(/ (tan (* PI l)) F)
8.0ms	(* PI l)
8.0ms	(* PI l)
10.0ms	(tan (* PI l))

series310.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(/ (tan (* PI l)) F)
46.0ms	(* PI l)
30.0ms	(* PI l)
75.0ms	(tan (* PI l))

simplify4.2s

Counts

84 → 84

Iterations

Useful iterations: 2 (127.0ms)

Iter	Nodes	Cost
0	106	669
1	204	646
2	488	594
3	1332	594
4	4799	594
done	5001	594

prune451.0ms

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`tan-quot`
1×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 46

Calls

4 calls:

5.0ms	(cbrt (/ (tan (* PI l)) F))
18.0ms	(tan (* PI l))
18.0ms	(tan (* PI l))
18.0ms	(tan (* PI l))

series504.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt (/ (tan (* PI l)) F))
73.0ms	(tan (* PI l))
80.0ms	(tan (* PI l))
89.0ms	(tan (* PI l))

simplify3.5s

Counts

58 → 58

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	108	682
1	200	673
2	449	634
3	1213	618
4	4046	607
done	5001	599

prune369.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.1b

regimes500.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	34
1	24	34
done	24	34

end0.0ms

sample10.0s

Algorithm

intervals

Results

4.8s	827×	body	2560	valid
2.2s	1629×	body	1280	valid
926.0ms	948×	body	640	valid
890.0ms	4589×	body	80	valid
734.0ms	424×	body	320	valid
70.0ms	211×	body	160	valid
27.0ms	1×	body	10240	exit