Details

sample61.0ms

Algorithm

intervals

Results

15.0ms	191×	body	80	valid
11.0ms	22×	body	1280	valid
11.0ms	34×	body	640	valid
6.0ms	23×	body	320	valid
1.0ms	8×	body	160	valid

simplify101.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	183
1	12	183
2	22	183
3	40	183
4	65	183
5	76	183
6	78	183
done	78	183

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.9b	(/ (* x (/ (sin y) y)) z)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

15.0ms	(* x (/ (sin y) y))
7.0ms	(/ (sin y) y)
20.0ms	(/ (* x (/ (sin y) y)) z)

series240.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(* x (/ (sin y) y))
41.0ms	(/ (sin y) y)
102.0ms	(/ (* x (/ (sin y) y)) z)

simplify2.3s

Counts

92 → 92

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	139	22012
1	338	20017
2	1188	19697
done	5001	19217

prune485.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))
1.9b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 207

Calls

4 calls:

36.0ms	(* x (/ 1 (/ y (sin y))))
9.0ms	(/ y (sin y))
23.0ms	(/ 1 (/ y (sin y)))
33.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series321.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* x (/ 1 (/ y (sin y))))
56.0ms	(/ y (sin y))
57.0ms	(/ 1 (/ y (sin y)))
112.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify309.0ms

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	286	68349