Details

sample341.0ms

Algorithm

intervals

Results

98.0ms	20×	body	2560	valid
60.0ms	53×	body	1280	valid
60.0ms	31×	body	640	valid
25.0ms	148×	body	80	valid
8.0ms	19×	body	320	valid
2.0ms	8×	body	160	valid

simplify151.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize16.0ms

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))

rewrite129.0ms

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)
10.0ms	(/ 1.0 (* F F))
97.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
10.0ms	(tan (* PI l))

series328.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* PI l)
45.0ms	(/ 1.0 (* F F))
166.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
84.0ms	(tan (* PI l))

simplify3.7s

Counts

89 → 89

Iterations

Useful iterations: 2 (277.0ms)

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

prune420.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.2b

localize13.0ms

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))

rewrite105.0ms

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×	`prod-exp` `cbrt-unprod` `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 → 88

Calls

4 calls:

15.0ms	(* PI l)
9.0ms	(* PI l)
57.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
15.0ms	(tan (* PI l))

series380.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* PI l)
29.0ms	(* PI l)
222.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
100.0ms	(tan (* PI l))

simplify2.5s

Counts

100 → 100

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	134	900
1	297	877
2	822	797
3	2714	797
done	5000	792

prune443.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.2b

localize14.0ms

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))

rewrite72.0ms

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×	`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 → 66

Calls

4 calls:

32.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
15.0ms	(* PI l)
14.0ms	(* PI l)
9.0ms	(tan (* PI l))

series381.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
34.0ms	(* PI l)
28.0ms	(* PI l)
89.0ms	(tan (* PI l))

simplify2.8s

Counts

78 → 78

Iterations

Useful iterations: 2 (197.0ms)

Iter	Nodes	Cost
0	113	655
1	258	626
2	831	552
3	3590	552
done	5001	552

prune412.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.2b

localize31.0ms

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))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

10.0ms	(cbrt (/ (* (sqrt 1.0) (tan (* PI l))) F))
11.0ms	(tan (* PI l))
9.0ms	(tan (* PI l))
10.0ms	(tan (* PI l))

series751.0ms

Counts

4 → 12

Calls

4 calls:

410.0ms	(cbrt (/ (* (sqrt 1.0) (tan (* PI l))) F))
97.0ms	(tan (* PI l))
111.0ms	(tan (* PI l))
133.0ms	(tan (* PI l))

simplify3.7s

Counts

52 → 52

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	95	623
1	187	619
2	436	574
3	1341	555
4	4975	544
done	5000	544

prune345.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.1b

regimes595.0ms

Accuracy

0% (0.4b remaining)

Error of 12.3b against oracle of 12.0b and baseline of 12.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	22
1	19	22
done	19	22

end0.0ms

sample9.8s

Algorithm

intervals

Results

4.1s	827×	body	2560	valid
2.3s	1629×	body	1280	valid
1.8s	4589×	body	80	valid
870.0ms	948×	body	640	valid
261.0ms	424×	body	320	valid
65.0ms	211×	body	160	valid
36.0ms	1×	body	10240	exit