Details

sample1.1s

Algorithm

intervals

Results

266.0ms	83×	body	2560	valid
261.0ms	118×	body	1280	valid
212.0ms	32×	body	5120	valid
156.0ms	81×	body	640	valid
62.0ms	33×	body	320	valid
57.0ms	71×	body	80	valid
10.0ms	16×	body	160	valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
4	7380
3	1013
2	177
1	51
0	19

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 31.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sin k) (tan k)) (/ k t))
0.3b	(* (sin k) (tan k))
0.6b	(/ 2 (* (* (* (sin k) (tan k)) (/ k t)) (/ k t)))
30.9b	(/ (/ 2 (* (* (* (sin k) (tan k)) (/ k t)) (/ k t))) (* (/ t l) (* (/ t l) t)))

rewrite366.0ms

Algorithm

rewrite-expression-head

Rules

713×	`add-cbrt-cube` `add-exp-log`
306×	`cbrt-undiv` `div-exp`
303×	`prod-exp` `cbrt-unprod`
32×	`times-frac`
26×	`associate-*r/`
24×	`associate-/r/`
21×	`add-sqr-sqrt`
19×	`-un-lft-identity` `associate-l/` `add-cube-cbrt`
17×	`frac-times` `associate-/l*`
16×	`associate-r`
15×	`tan-quot`
11×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `-commutative`
1×	`unswap-sqr` `associate-/l/`

Counts

4 → 323

Calls

4 calls:

29.0ms	(* (* (sin k) (tan k)) (/ k t))
24.0ms	(* (sin k) (tan k))
76.0ms	(/ 2 (* (* (* (sin k) (tan k)) (/ k t)) (/ k t)))
214.0ms	(/ (/ 2 (* (* (* (sin k) (tan k)) (/ k t)) (/ k t))) (* (/ t l) (* (/ t l) t)))

series781.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (* (sin k) (tan k)) (/ k t))
80.0ms	(* (sin k) (tan k))
180.0ms	(/ 2 (* (* (* (sin k) (tan k)) (/ k t)) (/ k t)))
337.0ms	(/ (/ 2 (* (* (* (sin k) (tan k)) (/ k t)) (/ k t))) (* (/ t l) (* (/ t l) t)))

simplify4.2s

Counts

335 → 335

Iterations

Iter	Nodes
2	8002
1	1577
0	508

prune4.8s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin k) (tan k))
0.8b	(/ 2 (* (* (* (sin k) (tan k)) k) k))
6.9b	(* (/ (/ 2 (* (* (* (sin k) (tan k)) k) k)) (/ t l)) (* 1 (* 1 l)))
10.9b	(/ (/ 2 (* (* (* (sin k) (tan k)) k) k)) (/ t l))

rewrite762.0ms

Algorithm

rewrite-expression-head

Rules

519×	`add-exp-log`
445×	`times-frac`
290×	`prod-exp`
269×	`add-cbrt-cube`
188×	`div-exp`
184×	`add-sqr-sqrt`
182×	`*-un-lft-identity` `add-cube-cbrt`
121×	`cbrt-unprod`
112×	`associate-l`
96×	`cbrt-undiv`
57×	`associate-*l/`
55×	`1-exp`
47×	`div-inv`
30×	`associate-/r/`
29×	`tan-quot` `associate-*r/`
15×	`pow1`
14×	`associate-/r*`
11×	`associate-/l*`
7×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`unswap-sqr` `associate-/l/`

Counts

4 → 446

Calls

4 calls:

25.0ms	(* (sin k) (tan k))
94.0ms	(/ 2 (* (* (* (sin k) (tan k)) k) k))
422.0ms	(* (/ (/ 2 (* (* (* (sin k) (tan k)) k) k)) (/ t l)) (* 1 (* 1 l)))
207.0ms	(/ (/ 2 (* (* (* (sin k) (tan k)) k) k)) (/ t l))

series746.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (sin k) (tan k))
127.0ms	(/ 2 (* (* (* (sin k) (tan k)) k) k))
333.0ms	(* (/ (/ 2 (* (* (* (sin k) (tan k)) k) k)) (/ t l)) (* 1 (* 1 l)))
235.0ms	(/ (/ 2 (* (* (* (sin k) (tan k)) k) k)) (/ t l))

simplify994.0ms

Counts

458 → 458

Iterations

Iter	Nodes
1	2056
0	677

prune6.7s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 2.3b

localize103.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
1.5b	(/ (/ (sqrt 2) (* (* (sin k) (tan k)) k)) (/ 1 (* (cbrt l) (cbrt l))))
3.4b	(/ (* (/ (sqrt 2) k) l) (/ t (cbrt l)))
3.9b	(* (/ (/ (sqrt 2) (* (* (sin k) (tan k)) k)) (/ 1 (* (cbrt l) (cbrt l)))) (/ (* (/ (sqrt 2) k) l) (/ t (cbrt l))))

rewrite342.0ms

Algorithm

rewrite-expression-head

Rules

1614×	`add-exp-log`
850×	`div-exp`
644×	`add-cbrt-cube`
587×	`prod-exp`
416×	`times-frac`
386×	`cbrt-undiv`
251×	`cbrt-unprod`
147×	`add-sqr-sqrt`
138×	`*-un-lft-identity`
137×	`add-cube-cbrt`
82×	`associate-l`
64×	`rec-exp` `1-exp`
45×	`sqrt-prod` `div-inv`
30×	`cbrt-prod`
29×	`associate-/r*`
27×	`associate-r`
19×	`associate-/r/`
17×	`associate-*l/`
16×	`associate-*r/`
15×	`tan-quot`
12×	`associate-/l*`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`frac-times` `pow1/3` `pow-prod-down` `*-commutative`

Counts

4 → 658

Calls

4 calls:

1.0ms	(cbrt l)
89.0ms	(/ (/ (sqrt 2) (* (* (sin k) (tan k)) k)) (/ 1 (* (cbrt l) (cbrt l))))
28.0ms	(/ (* (/ (sqrt 2) k) l) (/ t (cbrt l)))
179.0ms	(* (/ (/ (sqrt 2) (* (* (sin k) (tan k)) k)) (/ 1 (* (cbrt l) (cbrt l)))) (/ (* (/ (sqrt 2) k) l) (/ t (cbrt l))))

series1.3s

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt l)
447.0ms	(/ (/ (sqrt 2) (* (* (sin k) (tan k)) k)) (/ 1 (* (cbrt l) (cbrt l))))
171.0ms	(/ (* (/ (sqrt 2) k) l) (/ t (cbrt l)))
451.0ms	(* (/ (/ (sqrt 2) (* (* (sin k) (tan k)) k)) (/ 1 (* (cbrt l) (cbrt l)))) (/ (* (/ (sqrt 2) k) l) (/ t (cbrt l))))

simplify2.4s

Counts

670 → 670

Iterations

Iter	Nodes
1	2922
0	880

prune11.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 1.9b

localize101.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
1.2b	(/ (/ (sqrt (sqrt 2)) (* (sin k) (tan k))) (/ 1 (cbrt l)))
3.4b	(/ (* (/ (sqrt 2) k) l) (/ t (cbrt l)))
3.9b	(* (* (/ (/ (sqrt (sqrt 2)) (* (sin k) (tan k))) (/ 1 (cbrt l))) (/ (/ (sqrt (sqrt 2)) k) (/ 1 (cbrt l)))) (/ (* (/ (sqrt 2) k) l) (/ t (cbrt l))))

rewrite442.0ms

Algorithm

rewrite-expression-head

Rules

7280×	`add-exp-log`
4429×	`div-exp`
2377×	`prod-exp`
1935×	`add-cbrt-cube`
1267×	`cbrt-undiv`
883×	`times-frac`
717×	`cbrt-unprod`
374×	`rec-exp` `1-exp`
332×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
207×	`sqrt-prod`
165×	`cbrt-prod`
44×	`associate-/r*` `div-inv`
27×	`associate-r`
26×	`associate-*r/` `associate-/r/`
23×	`tan-quot`
15×	`associate-/l*`
9×	`pow1`
6×	`associate-*l/`
5×	`frac-times`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 1589

Calls

4 calls:

1.0ms	(cbrt l)
32.0ms	(/ (/ (sqrt (sqrt 2)) (* (sin k) (tan k))) (/ 1 (cbrt l)))
21.0ms	(/ (* (/ (sqrt 2) k) l) (/ t (cbrt l)))
232.0ms	(* (* (/ (/ (sqrt (sqrt 2)) (* (sin k) (tan k))) (/ 1 (cbrt l))) (/ (/ (sqrt (sqrt 2)) k) (/ 1 (cbrt l)))) (/ (* (/ (sqrt 2) k) l) (/ t (cbrt l))))

series1.3s

Counts

4 → 12

Calls

4 calls:

322.0ms	(cbrt l)
295.0ms	(/ (/ (sqrt (sqrt 2)) (* (sin k) (tan k))) (/ 1 (cbrt l)))
199.0ms	(/ (* (/ (sqrt 2) k) l) (/ t (cbrt l)))
492.0ms	(* (* (/ (/ (sqrt (sqrt 2)) (* (sin k) (tan k))) (/ 1 (cbrt l))) (/ (/ (sqrt (sqrt 2)) k) (/ 1 (cbrt l)))) (/ (* (/ (sqrt 2) k) l) (/ t (cbrt l))))

simplify5.1m

Counts

1601 → 1601

Iterations

Iter	Nodes
1	6812
0	2064

prune18.9s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 1.9b

regimes258.0ms

Accuracy

0% (3.0b remaining)

Error of 5.6b against oracle of 2.6b and baseline of 5.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	28
1	28
0	22

end0.0ms

sample25.9s

Algorithm

intervals

Results

7.2s	4139×	body	1280	valid
7.1s	2181×	body	2560	valid
5.6s	970×	body	5120	valid
3.4s	2505×	body	640	valid
880.0ms	1021×	body	320	valid
726.0ms	452×	body	160	valid
568.0ms	2019×	body	80	valid