Details

sample161.0ms

Algorithm

intervals

Results

64.0ms	101×	body	1280	valid
29.0ms	74×	body	640	valid
25.0ms	274×	body	80	valid
12.0ms	42×	body	320	valid
4.0ms	21×	body	160	valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	197
1	15	197
2	30	197
3	65	197
4	128	197
5	245	197
6	631	197
7	1888	197
done	5001	197

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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:

2.0ms	(sinh y)
8.0ms	(/ (sinh y) y)
15.0ms	(* (sin x) (/ (sinh y) y))

series404.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(sinh y)
133.0ms	(/ (sinh y) y)
156.0ms	(* (sin x) (/ (sinh y) y))

simplify3.9s

Counts

83 → 83

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	146	21484
1	359	19744
2	1119	18668
3	4027	18468
done	5002	18443

prune402.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ y (sinh y))
0.0b	(/ 1 (/ y (sinh y)))
0.2b	(* (sin x) (/ 1 (/ y (sinh y))))

rewrite71.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 200

Calls

4 calls:

1.0ms	(sinh y)
4.0ms	(/ y (sinh y))
8.0ms	(/ 1 (/ y (sinh y)))
50.0ms	(* (sin x) (/ 1 (/ y (sinh y))))

series486.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(sinh y)
141.0ms	(/ y (sinh y))
145.0ms	(/ 1 (/ y (sinh y)))
133.0ms	(* (sin x) (/ 1 (/ y (sinh y))))

simplify2.4s

Counts

212 → 212

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	299	69787
1	815	56649
2	2275	51479
done	5000	48384

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (/ 1 (/ y (sinh y)))) (cbrt (/ 1 (/ y (sinh y)))))
0.2b	(cbrt (/ 1 (/ y (sinh y))))
0.2b	(cbrt (/ 1 (/ y (sinh y))))
0.2b	(cbrt (/ 1 (/ y (sinh y))))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

555×	`times-frac`
393×	`cbrt-prod`
380×	`add-sqr-sqrt`
286×	`*-un-lft-identity`
260×	`add-cube-cbrt`
52×	`swap-sqr`
50×	`associate-r` `associate-l`
36×	`unswap-sqr`
30×	`div-inv`
28×	`associate-/r/`
21×	`sinh-def`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 385

Calls

4 calls:

88.0ms	(* (cbrt (/ 1 (/ y (sinh y)))) (cbrt (/ 1 (/ y (sinh y)))))
5.0ms	(cbrt (/ 1 (/ y (sinh y))))
5.0ms	(cbrt (/ 1 (/ y (sinh y))))
6.0ms	(cbrt (/ 1 (/ y (sinh y))))

series1.4s

Counts

4 → 12

Calls

4 calls:

368.0ms	(* (cbrt (/ 1 (/ y (sinh y)))) (cbrt (/ 1 (/ y (sinh y)))))
343.0ms	(cbrt (/ 1 (/ y (sinh y))))
317.0ms	(cbrt (/ 1 (/ y (sinh y))))
345.0ms	(cbrt (/ 1 (/ y (sinh y))))

simplify713.0ms

Iterations

Useful iterations: 0 (245.0ms)

Iter	Nodes	Cost
0	475	229412