Details

sample115.0ms

Algorithm

intervals

Results

43.0ms	103×	body	1280	valid
22.0ms	83×	body	640	valid
15.0ms	245×	body	80	valid
7.0ms	37×	body	320	valid
3.0ms	22×	body	160	valid

simplify13.4s

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	137	7
5	265	7
6	482	7
7	1041	7
8	1987	7
9	3484	7
10	4730	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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:

18.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)
8.0ms	(/ (sinh y) y)

series358.0ms

Counts

3 → 9

Calls

3 calls:

159.0ms	(* (cos x) (/ (sinh y) y))
71.0ms	(sinh y)
128.0ms	(/ (sinh y) y)

simplify2.5s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	144	762
1	328	714
2	1039	648
3	3610	635
done	5001	635

prune325.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (sinh y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`sinh-def` `cbrt-div`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt (sinh y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt (sinh y))
334.0ms	(cbrt y)
298.0ms	(cbrt y)
226.0ms	(cbrt y)

simplify2.2s

Counts

65 → 65

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	66	335
1	116	315
2	223	291
3	432	278
4	1014	278
5	2993	278
done	5001	278

prune298.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(* (cos x) (sinh y))
0.2b	(/ (* (cos x) (sinh y)) y)

rewrite36.0ms

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×	`expm1-log1p-u` `sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

1.0ms	(sinh y)
12.0ms	(* (cos x) (sinh y))
21.0ms	(/ (* (cos x) (sinh y)) y)

series340.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(sinh y)
121.0ms	(* (cos x) (sinh y))
139.0ms	(/ (* (cos x) (sinh y)) y)

simplify4.4s

Counts

64 → 64

Iterations

Useful iterations: 3 (2.4s)

Iter	Nodes	Cost
0	119	566
1	268	540
2	964	471
3	4758	445
done	5000	445

prune196.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.1s	2996×	body	1280	valid
1.2s	8475×	body	80	valid
882.0ms	2496×	body	640	valid
269.0ms	1262×	body	320	valid
223.0ms	645×	body	160	valid