Details

sample72.0ms

Algorithm

intervals

Results

27.0ms	101×	body	1280	valid
13.0ms	248×	body	80	valid
12.0ms	77×	body	640	valid
5.0ms	47×	body	320	valid
2.0ms	23×	body	160	valid

simplify16.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	29	7
3	64	7
4	134	7
5	242	7
6	440	7
7	968	7
8	2059	7
9	2880	7
10	4119	7
11	4578	7
12	4627	7
13	4638	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

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:

8.0ms	(* (cos x) (/ (sinh y) y))
2.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series244.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(* (cos x) (/ (sinh y) y))
89.0ms	(/ (sinh y) y)
63.0ms	(sinh y)

simplify2.6s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	138	730
1	322	687
2	1035	621
3	4257	609
done	5000	609

prune181.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
66×	`sqrt-prod`
51×	`times-frac`
44×	`add-cube-cbrt` `*-un-lft-identity`
19×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
9×	`unswap-sqr`
8×	`add-exp-log` `sqrt-pow1` `pow1/2` `add-cbrt-cube`
5×	`pow-prod-up` `div-inv`
4×	`sqrt-div` `add-log-exp`
3×	`sinh-def` `pow-prod-down` `associate-/r` `pow-sqr` `associate-/l`
1×	`cbrt-undiv` `pow2` `frac-times` `frac-2neg` `pow-plus` `sqrt-unprod` `associate-r/` `div-exp` `associate-l/` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `associate-/l/`

Counts

4 → 131

Calls

4 calls:

2.0ms	(/ (sinh y) y)
0.0ms	(sinh y)
1.0ms	(sinh y)
20.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ (sinh y) y)
62.0ms	(sinh y)
62.0ms	(sinh y)
86.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

simplify806.0ms

Counts

143 → 143

Iterations

Useful iterations: done (802.0ms)

Iter	Nodes	Cost
0	246	2040
1	510	1441
2	1869	1338
done	5001	1333

prune363.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (/ (sinh y) y))
0.0b	(sinh y)
0.3b	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
0.4b	(pow (* (cos x) (/ (sinh y) y)) 3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`times-frac`
9×	`pow1`
8×	`cbrt-prod`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `associate-r/` `associate-l*` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `sinh-def` `cbrt-div` `pow1/3` `*-commutative` `rem-cbrt-cube` `div-inv`

Counts

4 → 83

Calls

4 calls:

8.0ms	(* (cos x) (/ (sinh y) y))
0.0ms	(sinh y)
1.0ms	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
4.0ms	(pow (* (cos x) (/ (sinh y) y)) 3)

series459.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (cos x) (/ (sinh y) y))
65.0ms	(sinh y)
104.0ms	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
194.0ms	(pow (* (cos x) (/ (sinh y) y)) 3)

simplify753.0ms

Counts

95 → 95

Iterations

Useful iterations: 2 (227.0ms)

Iter	Nodes	Cost
0	169	1118
1	410	942
2	1490	869
done	5000	869

prune254.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	9	14
done	9	14

end0.0ms

sample2.1s

Algorithm

intervals

Results

841.0ms	2990×	body	1280	valid
400.0ms	2386×	body	640	valid
328.0ms	8530×	body	80	valid
142.0ms	1205×	body	320	valid
59.0ms	645×	body	160	valid