Details

sample124.0ms

Algorithm

intervals

Results

44.0ms	99×	body	1280	valid
25.0ms	88×	body	640	valid
19.0ms	301×	body	80	valid
6.0ms	28×	body	320	valid
3.0ms	13×	body	160	valid

simplify2.5s

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	137	7
5	262	7
6	805	7
7	4114	7
done	5000	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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:

25.0ms	(* (cos x) (/ (sinh y) y))
11.0ms	(/ (sinh y) y)
2.0ms	(sinh y)

series310.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(* (cos x) (/ (sinh y) y))
104.0ms	(/ (sinh y) y)
72.0ms	(sinh y)

simplify1.2s

Counts

77 → 77

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	138	730
1	341	691
2	1707	629
done	5001	627

prune256.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

26×	`sqrt-prod`
22×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
16×	`associate-r`
10×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
5×	`sqrt-div`
4×	`add-log-exp`
3×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`sinh-def` `rem-sqrt-square` `div-inv`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-r/` `associate-l` `-commutative`

Counts

4 → 75

Calls

4 calls:

6.0ms	(sqrt (/ (sinh y) y))
2.0ms	(sinh y)
6.0ms	(sinh y)
65.0ms	(* (* (sqrt (/ (sinh y) y)) (cos x)) (sqrt (/ (sinh y) y)))

series472.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(sqrt (/ (sinh y) y))
88.0ms	(sinh y)
86.0ms	(sinh y)
195.0ms	(* (* (sqrt (/ (sinh y) y)) (cos x)) (sqrt (/ (sinh y) y)))

simplify2.1s

Counts

87 → 87

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	284	1473
1	776	1339
2	4278	1139
done	5002	1127

prune389.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

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`
2×	`sinh-def` `cbrt-div`

Counts

4 → 46

Calls

4 calls:

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

series894.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(cbrt (sinh y))
164.0ms	(cbrt (sinh y))
227.0ms	(cbrt y)
278.0ms	(cbrt y)

simplify1.1s

Counts

58 → 58

Iterations

Useful iterations: 3 (206.0ms)

Iter	Nodes	Cost
0	62	358
1	116	336
2	267	312
3	752	300
4	1981	300
done	5000	300

prune362.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes136.0ms

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

sample4.5s

Algorithm

intervals

Results

1.8s	2861×	body	1280	valid
1.1s	2571×	body	640	valid
619.0ms	8298×	body	80	valid
290.0ms	1234×	body	320	valid
82.0ms	626×	body	160	valid