Details

sample72.0ms

Algorithm

intervals

Results

28.0ms	99×	body	1280	valid
13.0ms	77×	body	640	valid
11.0ms	290×	body	80	valid
4.0ms	38×	body	320	valid
1.0ms	18×	body	160	valid

simplify3.6s

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	136	7
5	247	7
6	455	7
7	1025	7
8	2084	7
9	3129	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	(* (cos x) (/ (sinh y) y))
0.0b	(sinh y)

rewrite18.0ms

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:

3.0ms	(/ (sinh y) y)
13.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)

series255.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(/ (sinh y) y)
99.0ms	(* (cos x) (/ (sinh y) y))
63.0ms	(sinh y)

simplify608.0ms

Counts

77 → 77

Iterations

Useful iterations: done (606.0ms)

Iter	Nodes	Cost
0	138	730
1	322	687
2	1080	621
done	5000	597

prune188.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

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×	`rec-exp` `1-exp` `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 → 192

Calls

4 calls:

2.0ms	(/ y (sinh y))
22.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
5.0ms	(/ 1 (/ y (sinh y)))
1.0ms	(sinh y)

series353.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ y (sinh y))
96.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
94.0ms	(/ 1 (/ y (sinh y)))
63.0ms	(sinh y)

simplify883.0ms

Counts

204 → 204

Iterations

Useful iterations: done (878.0ms)

Iter	Nodes	Cost
0	289	2519
1	699	2004
2	1958	1699
done	5000	1697

prune398.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
0.0b	(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
0.1b	(* 1/120 (pow y 4))
0.3b	(* 1/6 (pow y 2))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
18×	`associate-r`
16×	`add-exp-log`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`associate-l` `add-log-exp`
8×	`unpow-prod-down` `unswap-sqr`
7×	`prod-exp`
6×	`pow1`
4×	`sqr-pow`
3×	`sum-log` `*-commutative` `cbrt-unprod`
2×	`pow-to-exp` `flip3-+` `associate-*r/` `pow-exp` `flip-+` `unpow2`
1×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down`

Counts

4 → 87

Calls

4 calls:

10.0ms	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
39.0ms	(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
5.0ms	(* 1/120 (pow y 4))
6.0ms	(* 1/6 (pow y 2))

series235.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
123.0ms	(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
41.0ms	(* 1/120 (pow y 4))
26.0ms	(* 1/6 (pow y 2))

simplify707.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (184.0ms)

Iter	Nodes	Cost
0	159	1304
1	399	1204
2	1452	1080
done	5001	1080

prune255.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

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	9
1	11	9
done	11	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

856.0ms	3006×	body	1280	valid
454.0ms	2570×	body	640	valid
323.0ms	8549×	body	80	valid
148.0ms	1264×	body	320	valid
52.0ms	590×	body	160	valid