Details

sample295.0ms

Algorithm

intervals

Results

101.0ms	25×	body	2560	valid
59.0ms	57×	body	1280	valid
20.0ms	32×	body	640	valid
19.0ms	144×	body	80	valid
5.0ms	13×	body	320	valid
2.0ms	6×	body	160	valid

simplify274.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	299
1	18	299
2	39	299
3	64	299
4	103	299
5	119	299
6	133	299
7	136	299
done	136	299

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(/ 1.0 (* F F))
4.2b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.8b	(tan (* PI l))

rewrite73.0ms

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:

11.0ms	(* PI l)
8.0ms	(/ 1.0 (* F F))
40.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
8.0ms	(tan (* PI l))

series397.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* PI l)
40.0ms	(/ 1.0 (* F F))
206.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
118.0ms	(tan (* PI l))

simplify1.9s

Counts

89 → 89

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	135	21273
1	328	19083
2	1162	18442
done	5000	18122

prune509.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (sqrt 1.0) F) (tan (* PI l)))
30.8b	(tan (* PI l))

rewrite83.0ms

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:

11.0ms	(* PI l)
11.0ms	(* PI l)
49.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
6.0ms	(tan (* PI l))

series369.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* PI l)
38.0ms	(* PI l)
200.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
92.0ms	(tan (* PI l))

simplify3.2s

Counts

100 → 100

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	132	24210
1	307	23175
2	905	22694
3	2930	22534
done	5001	22534

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.4b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (sqrt 1.0) (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
30.8b	(tan (* PI l))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

24.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
11.0ms	(* PI l)
11.0ms	(* PI l)
12.0ms	(tan (* PI l))

series405.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
39.0ms	(* PI l)
39.0ms	(* PI l)
75.0ms	(tan (* PI l))

simplify3.1s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	112	16510
1	274	15434
2	896	15354
3	3579	14834
done	5149	14834

prune613.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.3b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (sqrt 1.0) F))
0.6b	(cbrt (/ (sqrt 1.0) F))
0.6b	(cbrt (/ (sqrt 1.0) F))
30.8b	(tan (* PI l))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt (/ (sqrt 1.0) F))
3.0ms	(cbrt (/ (sqrt 1.0) F))
4.0ms	(cbrt (/ (sqrt 1.0) F))
6.0ms	(tan (* PI l))

series1.2s

Counts

4 → 12

Calls

4 calls:

405.0ms	(cbrt (/ (sqrt 1.0) F))
373.0ms	(cbrt (/ (sqrt 1.0) F))
375.0ms	(cbrt (/ (sqrt 1.0) F))
79.0ms	(tan (* PI l))

simplify2.8s

Counts

113 → 113

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	125	43756
1	203	41080
2	374	41080
3	889	40560
4	2477	39187
done	5002	38461

prune759.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 11.3b

regimes932.0ms

Accuracy

0% (0.4b remaining)

Error of 12.7b against oracle of 12.3b and baseline of 12.7b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	699
1	21	699
done	21	699

end0.0ms

sample9.2s

Algorithm

intervals

Results

4.1s	848×	body	2560	valid
2.7s	1668×	body	1280	valid
1.1s	892×	body	640	valid
766.0ms	4595×	body	80	valid
174.0ms	429×	body	320	valid
69.0ms	2×	body	10240	exit
52.0ms	196×	body	160	valid