Details

sample68.0ms

Algorithm

intervals

Results

27.0ms	101×	body	1280	valid
12.0ms	77×	body	640	valid
9.0ms	248×	body	80	valid
5.0ms	47×	body	320	valid
2.0ms	23×	body	160	valid

simplify16.7s

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	1006	7
8	2118	7
9	3015	7
10	4236	7
11	4715	7
12	4759	7
13	4770	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

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:

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

series241.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(* (cos x) (/ (sinh y) y))
90.0ms	(/ (sinh y) y)
59.0ms	(sinh y)

simplify2.6s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	144	762
1	337	714
2	1070	648
3	4389	635
done	5000	635

prune216.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
66×	`sqrt-prod`
51×	`times-frac`
44×	`add-cube-cbrt` `*-un-lft-identity`
19×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
9×	`unswap-sqr`
8×	`add-exp-log` `sqrt-pow1` `pow1/2` `add-cbrt-cube`
5×	`pow-prod-up` `div-inv`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`sinh-def` `pow-prod-down` `associate-/r` `pow-sqr` `associate-/l`
1×	`cbrt-undiv` `pow2` `frac-times` `frac-2neg` `pow-plus` `sqrt-unprod` `associate-r/` `div-exp` `associate-l/` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `associate-/l/`

Counts

4 → 139

Calls

4 calls:

5.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
1.0ms	(sinh y)
21.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ (sinh y) y)
62.0ms	(sinh y)
61.0ms	(sinh y)
94.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

simplify764.0ms

Counts

151 → 151

Iterations

Useful iterations: done (760.0ms)

Iter	Nodes	Cost
0	252	2086
1	533	1465
2	1915	1362
done	5001	1353

prune424.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

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×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 91

Calls

4 calls:

8.0ms	(* (cos x) (/ (sinh y) y))
0.0ms	(sinh y)
1.0ms	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
4.0ms	(pow (* (cos x) (/ (sinh y) y)) 3)

series434.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (cos x) (/ (sinh y) y))
60.0ms	(sinh y)
99.0ms	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
187.0ms	(pow (* (cos x) (/ (sinh y) y)) 3)

simplify932.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (420.0ms)

Iter	Nodes	Cost
0	177	1182
1	426	995
2	1532	922
done	5001	922

prune289.0ms

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	9	14
done	9	14

end0.0ms

sample2.1s

Algorithm

intervals

Results

842.0ms	2990×	body	1280	valid
408.0ms	2386×	body	640	valid
334.0ms	8530×	body	80	valid
143.0ms	1205×	body	320	valid
53.0ms	645×	body	160	valid