Details

sample106.0ms

Algorithm

intervals

Results

42.0ms	109×	body	1280	valid
18.0ms	73×	body	640	valid
17.0ms	272×	body	80	valid
9.0ms	45×	body	320	valid
3.0ms	24×	body	160	valid

simplify13.6s

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	135	7
5	256	7
6	460	7
7	977	7
8	1864	7
9	3263	7
10	4445	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	(/ (sinh y) y)
0.0b	(sinh y)
0.0b	(* (sin x) (/ (sinh y) y))

rewrite45.0ms

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:

12.0ms	(/ (sinh y) y)
2.0ms	(sinh y)
28.0ms	(* (sin x) (/ (sinh y) y))

series297.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(/ (sinh y) y)
66.0ms	(sinh y)
133.0ms	(* (sin x) (/ (sinh y) y))

simplify2.7s

Counts

77 → 77

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	140	732
1	322	689
2	1032	623
3	3528	621
done	5001	609

prune300.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
36×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
15×	`cbrt-div`
13×	`pow1` `add-exp-log`
9×	`associate-*r/`
8×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`div-inv` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 107

Calls

4 calls:

166.0ms	(* (* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (cbrt (/ (sinh y) y)))
2.0ms	(cbrt (/ (sinh y) y))
2.0ms	(cbrt (/ (sinh y) y))
3.0ms	(cbrt (/ (sinh y) y))

series1.0s

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (cbrt (/ (sinh y) y)))
297.0ms	(cbrt (/ (sinh y) y))
291.0ms	(cbrt (/ (sinh y) y))
263.0ms	(cbrt (/ (sinh y) y))

simplify3.0s

Counts

119 → 119

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	171	1911
1	412	1835
2	1298	1549
3	3532	1444
done	5000	1420

prune500.0ms

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	(* (sinh y) (sin x))
14.4b	(/ (* (sinh y) (sin x)) y)

rewrite40.0ms

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:

3.0ms	(sinh y)
21.0ms	(* (sinh y) (sin x))
14.0ms	(/ (* (sinh y) (sin x)) y)

series285.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(sinh y)
96.0ms	(* (sinh y) (sin x))
106.0ms	(/ (* (sinh y) (sin x)) y)

simplify3.5s

Counts

58 → 58

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	117	538
1	269	516
2	968	445
3	4772	443
done	5000	443

prune190.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	11	20
done	11	20

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.8s	2921×	body	1280	valid
1.4s	2521×	body	640	valid
1.2s	8507×	body	80	valid
423.0ms	1268×	body	320	valid
93.0ms	601×	body	160	valid