Details

sample100.0ms

Algorithm

intervals

Results

32.0ms	92×	body	1280	valid
23.0ms	99×	body	640	valid
15.0ms	292×	body	80	valid
7.0ms	42×	body	320	valid
2.0ms	16×	body	160	valid

simplify12.9s

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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

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:

2.0ms	(sinh y)
29.0ms	(* (cos x) (/ (sinh y) y))
10.0ms	(/ (sinh y) y)

series336.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(sinh y)
129.0ms	(* (cos x) (/ (sinh y) y))
123.0ms	(/ (sinh y) y)

simplify2.3s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	138	730
1	313	687
2	1011	621
3	3474	609
done	5000	609

prune256.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ 1 (/ y (sinh y)))
0.0b	(* (cos x) (/ 1 (/ y (sinh y))))
0.0b	(/ y (sinh y))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
9×	`sinh-def`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 192

Calls

4 calls:

2.0ms	(sinh y)
19.0ms	(/ 1 (/ y (sinh y)))
66.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
9.0ms	(/ y (sinh y))

series499.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(sinh y)
113.0ms	(/ 1 (/ y (sinh y)))
132.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
151.0ms	(/ y (sinh y))

simplify1.7s

Counts

204 → 204

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	289	2519
1	659	2004
2	1573	1757
done	5000	1713

prune570.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (cos x) (/ y (sinh y)))
0.0b	(/ y (sinh y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

1.0ms	(sinh y)
16.0ms	(/ (cos x) (/ y (sinh y)))
14.0ms	(/ y (sinh y))

series318.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(sinh y)
129.0ms	(/ (cos x) (/ y (sinh y)))
107.0ms	(/ y (sinh y))

simplify1.5s

Counts

119 → 119

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	217	1546
1	455	1454
2	1458	1379
done	5000	1357

prune427.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (sinh y))
0.6b	(cbrt (sinh y))
0.6b	(cbrt (sinh y))

rewrite6.0ms

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:

1.0ms	(cbrt y)
2.0ms	(cbrt (sinh y))
1.0ms	(cbrt (sinh y))
2.0ms	(cbrt (sinh y))

series971.0ms

Counts

4 → 12

Calls

4 calls:

313.0ms	(cbrt y)
176.0ms	(cbrt (sinh y))
265.0ms	(cbrt (sinh y))
217.0ms	(cbrt (sinh y))

simplify1.9s

Counts

59 → 59

Iterations

Useful iterations: 3 (112.0ms)

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

prune186.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
done	6	7

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.9s	2965×	body	1280	valid
1.3s	2465×	body	640	valid
720.0ms	8552×	body	80	valid
281.0ms	1243×	body	320	valid
76.0ms	587×	body	160	valid