Details

sample52.0ms

Algorithm

intervals

Results

14.0ms	51×	body	1280	valid
12.0ms	311×	body	80	valid
9.0ms	50×	body	640	valid
3.0ms	27×	body	320	valid
1.0ms	14×	body	160	valid

simplify9.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	32	7
3	68	7
4	142	7
5	264	7
6	489	7
7	1411	7
8	3324	7
9	4759	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.2b	(/ (* (sin x) (sinh y)) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) x)

series241.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
84.0ms	(* (sin x) (sinh y))
95.0ms	(/ (* (sin x) (sinh y)) x)

simplify434.0ms

Counts

58 → 58

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	117	538
1	286	516
2	1147	445
done	5000	445

prune140.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) x)
0.2b	(* (sin x) (/ (sinh y) x))

rewrite13.0ms

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:

0.0ms	(sinh y)
3.0ms	(/ (sinh y) x)
8.0ms	(* (sin x) (/ (sinh y) x))

series230.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
73.0ms	(/ (sinh y) x)
94.0ms	(* (sin x) (/ (sinh y) x))

simplify439.0ms

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	140	738
1	334	699
2	1193	629