Details

sample72.0ms

Algorithm

intervals

Results

27.0ms	101×	body	1280	valid
15.0ms	77×	body	640	valid
9.0ms	248×	body	80	valid
5.0ms	47×	body	320	valid
2.0ms	23×	body	160	valid

simplify6.2s

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	248	7
6	472	7
7	1381	7
8	3541	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	(* (cos x) (/ (sinh y) y))
0.0b	(/ (sinh y) y)
0.0b	(sinh y)

rewrite17.0ms

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

series238.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(* (cos x) (/ (sinh y) y))
87.0ms	(/ (sinh y) y)
59.0ms	(sinh y)

simplify509.0ms

Counts

77 → 77

Iterations

Useful iterations: done (507.0ms)

Iter	Nodes	Cost
0	138	730
1	329	687
2	1280	621
done	5001	597

prune174.0ms

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

26×	`sqrt-prod`
22×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
16×	`associate-r`
10×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
5×	`sqrt-div`
4×	`add-log-exp`
3×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sinh-def` `rem-sqrt-square` `div-inv`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 75

Calls

4 calls:

3.0ms	(sqrt (/ (sinh y) y))
0.0ms	(sinh y)
1.0ms	(sinh y)
25.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(sqrt (/ (sinh y) y))
58.0ms	(sinh y)
63.0ms	(sinh y)
117.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify926.0ms

Counts

87 → 87

Iterations

Useful iterations: done (924.0ms)

Iter	Nodes	Cost
0	283	1476
1	775	1248
2	3160	1134
done	5000	1131

prune279.0ms

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)

rewrite17.0ms

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))
5.0ms	(pow (* (cos x) (/ (sinh y) y)) 3)

series453.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (cos x) (/ (sinh y) y))
59.0ms	(sinh y)
108.0ms	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
194.0ms	(pow (* (cos x) (/ (sinh y) y)) 3)

simplify707.0ms

Counts

95 → 95

Iterations

Useful iterations: done (705.0ms)

Iter	Nodes	Cost
0	169	1118
1	440	942
2	1889	869
done	5000	857

prune258.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes76.0ms

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	10	14
done	10	14

end0.0ms

sample2.1s

Algorithm

intervals

Results

835.0ms	2990×	body	1280	valid
408.0ms	2386×	body	640	valid
326.0ms	8530×	body	80	valid
148.0ms	1205×	body	320	valid
55.0ms	645×	body	160	valid