Details

sample1.4s

Algorithm

intervals

Results

606.0ms	33×	body	5120	valid
306.0ms	126×	body	1280	valid
278.0ms	69×	body	2560	valid
149.0ms	82×	body	640	valid
38.0ms	33×	body	320	valid
30.0ms	82×	body	80	valid
14.0ms	15×	body	160	valid

simplify609.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
3	1013
2	173
1	51
0	19

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin k) (tan k))
0.9b	(* (* (/ t l) (/ t l)) t)
3.6b	(/ (/ 2 (* (* (/ t l) (/ t l)) t)) (* (sin k) (tan k)))
29.7b	(/ (/ (/ 2 (* (* (/ t l) (/ t l)) t)) (* (sin k) (tan k))) (* (/ k t) (/ k t)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

662×	`add-cbrt-cube` `add-exp-log`
343×	`cbrt-undiv` `div-exp`
220×	`prod-exp` `cbrt-unprod`
57×	`times-frac`
25×	`associate-/l*`
21×	`associate-*l/`
20×	`add-sqr-sqrt`
18×	`associate-/r/`
17×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
10×	`associate-*r/`
8×	`div-inv`
6×	`frac-times` `associate-r`
4×	`associate-l` `pow-prod-down` `tan-quot` `insert-posit16` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `-commutative` `unswap-sqr` `associate-/l/`

Counts

4 → 307

Calls

4 calls:

15.0ms	(* (sin k) (tan k))
41.0ms	(* (* (/ t l) (/ t l)) t)
60.0ms	(/ (/ 2 (* (* (/ t l) (/ t l)) t)) (* (sin k) (tan k)))
69.0ms	(/ (/ (/ 2 (* (* (/ t l) (/ t l)) t)) (* (sin k) (tan k))) (* (/ k t) (/ k t)))

series709.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (sin k) (tan k))
38.0ms	(* (* (/ t l) (/ t l)) t)
285.0ms	(/ (/ 2 (* (* (/ t l) (/ t l)) t)) (* (sin k) (tan k)))
341.0ms	(/ (/ (/ 2 (* (* (/ t l) (/ t l)) t)) (* (sin k) (tan k))) (* (/ k t) (/ k t)))

simplify762.0ms

Counts

319 → 319

Iterations

Iter	Nodes
done	2001
1	1335
0	468

prune940.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 10.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ (/ 1 (* (/ t l) (/ t l))) (sin k))
6.6b	(* (/ (/ (/ 1 (* (/ t l) (/ t l))) (sin k)) (/ k t)) (/ (/ (/ 2 t) (tan k)) (/ k t)))
16.7b	(/ (/ (/ 2 t) (tan k)) (/ k t))
18.3b	(/ (/ (/ 1 (* (/ t l) (/ t l))) (sin k)) (/ k t))

rewrite532.0ms

Algorithm

rewrite-expression-head

Rules

6616×	`times-frac`
2908×	`add-sqr-sqrt`
2549×	`*-un-lft-identity`
2535×	`add-cube-cbrt`
2263×	`add-exp-log`
1594×	`div-exp`
971×	`add-cbrt-cube`
663×	`cbrt-undiv`
577×	`associate-r`
449×	`prod-exp`
447×	`associate-l`
383×	`div-inv`
286×	`associate-/r/`
173×	`cbrt-unprod`
88×	`associate-/l*`
86×	`frac-times` `associate-l/` `associate-r/`
85×	`rec-exp` `1-exp`
63×	`unswap-sqr`
29×	`associate-/r*`
27×	`tan-quot`
6×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 2731

Calls

4 calls:

21.0ms	(/ (/ 1 (* (/ t l) (/ t l))) (sin k))
307.0ms	(* (/ (/ (/ 1 (* (/ t l) (/ t l))) (sin k)) (/ k t)) (/ (/ (/ 2 t) (tan k)) (/ k t)))
27.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))
28.0ms	(/ (/ (/ 1 (* (/ t l) (/ t l))) (sin k)) (/ k t))

series780.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(/ (/ 1 (* (/ t l) (/ t l))) (sin k))
380.0ms	(* (/ (/ (/ 1 (* (/ t l) (/ t l))) (sin k)) (/ k t)) (/ (/ (/ 2 t) (tan k)) (/ k t)))
121.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))
163.0ms	(/ (/ (/ 1 (* (/ t l) (/ t l))) (sin k)) (/ k t))

simplify3.8s

Counts

2743 → 2743

Iterations

Iter	Nodes
done	3606
0	3606

prune24.6s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.3b

localize68.0ms

Local error

Found 4 expressions with local error:

3.4b	(* (/ (/ (/ 1 (/ t l)) 1) k) (* (/ (/ (/ 1 (/ t l)) (sin k)) (/ 1 t)) (/ (/ (/ 2 t) (tan k)) (/ k t))))
4.7b	(/ (/ (/ 1 (/ t l)) 1) k)
9.6b	(/ (/ (/ 1 (/ t l)) (sin k)) (/ 1 t))
16.7b	(/ (/ (/ 2 t) (tan k)) (/ k t))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

36512×	`add-exp-log`
29706×	`div-exp`
12648×	`times-frac`
7408×	`prod-exp`
5192×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4371×	`1-exp`
3181×	`add-cbrt-cube`
2740×	`rec-exp`
2204×	`cbrt-undiv`
635×	`cbrt-unprod`
515×	`div-inv`
412×	`associate-l`
316×	`associate-/l*`
79×	`associate-/r/`
29×	`associate-/r*`
14×	`tan-quot`
9×	`pow1`
5×	`frac-times` `associate-*r/`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*l/` `associate-/l/`
1×	`associate-r` `*-commutative`

Counts

4 → 7665

Calls

4 calls:

188.0ms	(* (/ (/ (/ 1 (/ t l)) 1) k) (* (/ (/ (/ 1 (/ t l)) (sin k)) (/ 1 t)) (/ (/ (/ 2 t) (tan k)) (/ k t))))
26.0ms	(/ (/ (/ 1 (/ t l)) 1) k)
31.0ms	(/ (/ (/ 1 (/ t l)) (sin k)) (/ 1 t))
34.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))

series601.0ms

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (/ (/ (/ 1 (/ t l)) 1) k) (* (/ (/ (/ 1 (/ t l)) (sin k)) (/ 1 t)) (/ (/ (/ 2 t) (tan k)) (/ k t))))
21.0ms	(/ (/ (/ 1 (/ t l)) 1) k)
89.0ms	(/ (/ (/ 1 (/ t l)) (sin k)) (/ 1 t))
168.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))

simplify10.9s

Counts

7677 → 7677

Iterations

Iter	Nodes
done	10525
0	10525

prune1.4m

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 3.9b

localize52.0ms

Local error

Found 4 expressions with local error:

2.5b	(/ (/ 1 (/ t l)) (sin k))
3.4b	(* (/ (/ (/ 1 (/ t l)) 1) k) (* (/ (/ (/ 1 (/ t l)) (sin k)) (/ 1 t)) (* 2 (/ (cos k) (* k (sin k))))))
4.7b	(/ (/ (/ 1 (/ t l)) 1) k)
9.6b	(/ (/ (/ 1 (/ t l)) (sin k)) (/ 1 t))

rewrite985.0ms

Algorithm

rewrite-expression-head

Rules

19614×	`add-exp-log`
13592×	`div-exp`
11143×	`times-frac`
6352×	`prod-exp`
4572×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2516×	`1-exp`
1729×	`add-cbrt-cube`
1578×	`rec-exp`
980×	`cbrt-undiv`
545×	`cbrt-unprod`
430×	`div-inv`
412×	`associate-l`
316×	`associate-/l*`
68×	`associate-/r/`
19×	`associate-/r*`
13×	`pow1`
9×	`associate-*r/`
6×	`pow-prod-down`
5×	`frac-times`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-*l/` `associate-/l/`
1×	`associate-r` `*-commutative`

Counts

4 → 5494

Calls

4 calls:

20.0ms	(/ (/ 1 (/ t l)) (sin k))
291.0ms	(* (/ (/ (/ 1 (/ t l)) 1) k) (* (/ (/ (/ 1 (/ t l)) (sin k)) (/ 1 t)) (* 2 (/ (cos k) (* k (sin k))))))
32.0ms	(/ (/ (/ 1 (/ t l)) 1) k)
51.0ms	(/ (/ (/ 1 (/ t l)) (sin k)) (/ 1 t))

series539.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ (/ 1 (/ t l)) (sin k))
310.0ms	(* (/ (/ (/ 1 (/ t l)) 1) k) (* (/ (/ (/ 1 (/ t l)) (sin k)) (/ 1 t)) (* 2 (/ (cos k) (* k (sin k))))))
45.0ms	(/ (/ (/ 1 (/ t l)) 1) k)
98.0ms	(/ (/ (/ 1 (/ t l)) (sin k)) (/ 1 t))

simplify7.2s

Counts

5506 → 5506

Iterations

Iter	Nodes
done	7504
0	7504

prune44.7s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.7b

regimes406.0ms

Accuracy

0% (2.1b remaining)

Error of 7.7b against oracle of 5.6b and baseline of 7.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	36
1	36
0	29

end0.0ms

sample26.8s

Algorithm

intervals

Results

7.5s	4010×	body	1280	valid
7.1s	2225×	body	2560	valid
5.9s	959×	body	5120	valid
4.2s	2530×	body	640	valid
920.0ms	1018×	body	320	valid
552.0ms	1998×	body	80	valid
299.0ms	456×	body	160	valid