Details

sample141.0ms

Algorithm

intervals

Results

45.0ms	96×	body	1280	valid
40.0ms	263×	body	80	valid
25.0ms	79×	body	640	valid
6.0ms	30×	body	320	valid
3.0ms	21×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4128
6	824
5	269
4	137
3	67
2	30
1	15
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

31.0ms	(* (sin x) (/ (sinh y) y))
2.0ms	(sinh y)
11.0ms	(/ (sinh y) y)

series326.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(* (sin x) (/ (sinh y) y))
83.0ms	(sinh y)
105.0ms	(/ (sinh y) y)

simplify1.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1735
1	361
0	146

prune389.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
12×	`cbrt-div`
10×	`associate-*r/`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `frac-times` `-un-lft-identity` `associate-l/` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sinh-def` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 60

Calls

4 calls:

1.0ms	(sinh y)
1.0ms	(sinh y)
1.0ms	(sinh y)
161.0ms	(* (sin x) (* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y))))

series463.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(sinh y)
92.0ms	(sinh y)
117.0ms	(sinh y)
177.0ms	(* (sin x) (* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y))))

simplify974.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	941
1	281
0	110

prune355.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.4s	2948×	body	1280	valid
1.4s	2516×	body	640	valid
716.0ms	8512×	body	80	valid
329.0ms	1204×	body	320	valid
101.0ms	635×	body	160	valid