Details

sample60.0ms

Algorithm

intervals

Results

24.0ms	87×	body	1280	valid
10.0ms	61×	body	640	valid
9.0ms	257×	body	80	valid
4.0ms	34×	body	320	valid
1.0ms	14×	body	160	valid

simplify15.7s

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	136	7
5	250	7
6	464	7
7	1010	7
8	2113	7
9	2986	7
10	4238	7
11	4671	7
12	4739	7
13	4750	7
done	5000	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	(/ (sinh y) y)
0.0b	(sinh y)
0.0b	(* (cos x) (/ (sinh y) 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×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `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 → 74

Calls

3 calls:

3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
8.0ms	(* (cos x) (/ (sinh y) y))

series248.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ (sinh y) y)
63.0ms	(sinh y)
95.0ms	(* (cos x) (/ (sinh y) y))

simplify2.6s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	144	762
1	337	714
2	1070	648
3	4410	635
done	5000	635

prune201.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ y (sinh y))
0.0b	(/ 1 (/ y (sinh y)))
0.0b	(* (cos x) (/ 1 (/ y (sinh y))))

rewrite43.0ms

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×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 200

Calls

4 calls:

0.0ms	(sinh y)
2.0ms	(/ y (sinh y))
6.0ms	(/ 1 (/ y (sinh y)))
25.0ms	(* (cos x) (/ 1 (/ y (sinh y))))

series340.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sinh y)
95.0ms	(/ y (sinh y))
88.0ms	(/ 1 (/ y (sinh y)))
94.0ms	(* (cos x) (/ 1 (/ y (sinh y))))

simplify803.0ms

Counts

212 → 212

Iterations

Useful iterations: done (797.0ms)

Iter	Nodes	Cost
0	297	2569
1	717	2044
2	1674	1793
done	5000	1775

prune413.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 1 y) (/ 1 (sinh y)))
0.0b	(sinh y)
0.0b	(/ 1 (sinh y))
0.0b	(* (cos x) (/ (/ 1 y) (/ 1 (sinh y))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

898×	`times-frac`
441×	`add-sqr-sqrt`
412×	`*-un-lft-identity`
406×	`add-cube-cbrt`
187×	`associate-r`
106×	`add-exp-log`
66×	`div-exp`
59×	`div-inv`
36×	`add-cbrt-cube`
30×	`associate-/r/`
29×	`sinh-def`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp` `associate-/r*`
16×	`associate-/l*`
10×	`unswap-sqr`
7×	`pow1`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

4 → 521

Calls

4 calls:

12.0ms	(/ (/ 1 y) (/ 1 (sinh y)))
0.0ms	(sinh y)
2.0ms	(/ 1 (sinh y))
65.0ms	(* (cos x) (/ (/ 1 y) (/ 1 (sinh y))))

series311.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ (/ 1 y) (/ 1 (sinh y)))
62.0ms	(sinh y)
69.0ms	(/ 1 (sinh y))
93.0ms	(* (cos x) (/ (/ 1 y) (/ 1 (sinh y))))

simplify1.7s

Counts

533 → 533

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	686	9186
1	2016	6445
2	3882	5503
done	5001	5495

prune797.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (sinh y))
0.0b	(/ (sinh y) y)
0.0b	(/ 1 (/ y (sinh y)))
0.0b	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ 1 (/ y (sinh y)))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

165×	`times-frac`
100×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
50×	`associate-r`
47×	`sqrt-prod`
24×	`add-exp-log`
20×	`associate-/r*`
18×	`add-cbrt-cube`
11×	`div-inv`
10×	`pow1` `associate-/r/`
9×	`sinh-def` `div-exp` `associate-/l*`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-*r/` `pow-prod-down` `prod-exp` `clear-num` `cbrt-unprod`
2×	`rec-exp` `1-exp`
1×	`frac-times` `pow-flip` `associate-l` `associate-l/` `-commutative` `associate-/l/` `inv-pow`

Counts

4 → 212

Calls

4 calls:

2.0ms	(/ y (sinh y))
3.0ms	(/ (sinh y) y)
8.0ms	(/ 1 (/ y (sinh y)))
38.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ 1 (/ y (sinh y)))))

series397.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ y (sinh y))
92.0ms	(/ (sinh y) y)
92.0ms	(/ 1 (/ y (sinh y)))
119.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ 1 (/ y (sinh y)))))

simplify1.3s

Counts

224 → 224

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	423	3334
1	1055	2834
2	3115	2375
done	5000	2368

prune601.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

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	9	11
1	12	11
done	12	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

818.0ms	2937×	body	1280	valid
412.0ms	2478×	body	640	valid
326.0ms	8585×	body	80	valid
144.0ms	1252×	body	320	valid
60.0ms	614×	body	160	valid