Details

sample106.0ms

Algorithm

intervals

Results

33.0ms	93×	body	1280	valid
27.0ms	259×	body	80	valid
19.0ms	90×	body	640	valid
5.0ms	32×	body	320	valid
2.0ms	22×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	30	7
3	67	7
4	137	7
5	262	7
6	805	7
7	4114	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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	(/ (sinh y) y)
1.0ms	(sinh y)
22.0ms	(* (cos x) (/ (sinh y) y))

series299.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(/ (sinh y) y)
88.0ms	(sinh y)
103.0ms	(* (cos x) (/ (sinh y) y))

simplify1.1s

Counts

77 → 77

Iterations

Useful iterations: 2 (233.0ms)

Iter	Nodes	Cost
0	138	730
1	337	691
2	1716	621
done	5000	621

prune269.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sinh y) (cos x))
0.1b	(/ (* (sinh y) (cos x)) y)

rewrite47.0ms

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` `div-exp` `associate-*l/` `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:

2.0ms	(sinh y)
22.0ms	(* (sinh y) (cos x))
21.0ms	(/ (* (sinh y) (cos x)) y)

series302.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(sinh y)
104.0ms	(* (sinh y) (cos x))
113.0ms	(/ (* (sinh y) (cos x)) y)

simplify623.0ms

Counts

58 → 58

Iterations

Useful iterations: 2 (163.0ms)

Iter	Nodes	Cost
0	113	532
1	269	510
2	1263	445
done	5002	445

prune150.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(/ y (cos x))
0.1b	(/ (sinh y) (/ y (cos x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`sinh-def` `frac-2neg` `clear-num`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 106

Calls

3 calls:

2.0ms	(sinh y)
7.0ms	(/ y (cos x))
12.0ms	(/ (sinh y) (/ y (cos x)))

series227.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(sinh y)
63.0ms	(/ y (cos x))
85.0ms	(/ (sinh y) (/ y (cos x)))

simplify1.2s

Counts

115 → 115

Iterations

Useful iterations: 2 (370.0ms)

Iter	Nodes	Cost
0	200	1460
1	507	1389
2	2577	1304
done	5000	1304

prune393.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes93.0ms

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	6	7
1	7	7
done	7	7

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.8s	3020×	body	1280	valid
1.2s	2516×	body	640	valid
824.0ms	8530×	body	80	valid
217.0ms	1191×	body	320	valid
81.0ms	644×	body	160	valid