Details

sample153.0ms

Algorithm

intervals

Results

48.0ms	74×	body	1280	valid
33.0ms	80×	body	640	valid
28.0ms	293×	body	80	valid
10.0ms	34×	body	320	valid
4.0ms	22×	body	160	valid

simplify12.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	30	7
3	67	7
4	135	7
5	256	7
6	460	7
7	977	7
8	1864	7
9	3263	7
10	4445	7
done	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.0b	(* (sin x) (/ (sinh y) y))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

15.0ms	(/ (sinh y) y)
3.0ms	(sinh y)
42.0ms	(* (sin x) (/ (sinh y) y))

series413.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(/ (sinh y) y)
89.0ms	(sinh y)
192.0ms	(* (sin x) (/ (sinh y) y))

simplify2.9s

Counts

77 → 77

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	140	732
1	322	689
2	1032	623
3	3528	621
done	5001	609

prune241.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt (sinh y))
0.7b	(cbrt (sinh y))
0.7b	(cbrt (sinh y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`sinh-def` `cbrt-div`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt y)
3.0ms	(cbrt (sinh y))
3.0ms	(cbrt (sinh y))
3.0ms	(cbrt (sinh y))

series1.0s

Counts

4 → 12

Calls

4 calls:

280.0ms	(cbrt y)
273.0ms	(cbrt (sinh y))
241.0ms	(cbrt (sinh y))
214.0ms	(cbrt (sinh y))

simplify2.2s

Counts

59 → 59

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	62	407
1	111	382
2	213	358
3	401	346
4	925	346
5	2804	346
done	5001	346

prune272.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (sinh y) y))
0.0b	(cbrt (/ (sinh y) y))
0.0b	(* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))
0.0b	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

90×	`cbrt-prod`
76×	`add-sqr-sqrt`
60×	`times-frac`
51×	`add-cube-cbrt` `*-un-lft-identity`
19×	`associate-l`
17×	`associate-r`
16×	`pow1` `swap-sqr`
11×	`add-exp-log`
10×	`cbrt-div` `unswap-sqr`
8×	`pow1/3`
7×	`add-cbrt-cube`
6×	`div-inv`
5×	`associate-*r/` `pow-prod-down`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-times` `associate-l/` `pow-sqr` `-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 144

Calls

4 calls:

3.0ms	(cbrt (/ (sinh y) y))
3.0ms	(cbrt (/ (sinh y) y))
58.0ms	(* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))
60.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

343.0ms	(cbrt (/ (sinh y) y))
298.0ms	(cbrt (/ (sinh y) y))
388.0ms	(* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))
378.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

simplify3.0s

Counts

156 → 156

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	223	2415
1	427	2272
2	1163	2148
3	2989	2008
done	5000	1975

prune858.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.3s	3006×	body	1280	valid
1.1s	2423×	body	640	valid
717.0ms	8567×	body	80	valid
337.0ms	1260×	body	320	valid
98.0ms	628×	body	160	valid