Details

sample97.0ms

Algorithm

intervals

Results

40.0ms	93×	body	1280	valid
18.0ms	90×	body	640	valid
13.0ms	259×	body	80	valid
5.0ms	32×	body	320	valid
2.0ms	22×	body	160	valid

simplify2.8s

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	139	7
5	271	7
6	828	7
7	4211	7
done	5000	7

prune3.0ms

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

rewrite50.0ms

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:

11.0ms	(/ (sinh y) y)
2.0ms	(sinh y)
33.0ms	(* (cos x) (/ (sinh y) y))

series351.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(/ (sinh y) y)
88.0ms	(sinh y)
137.0ms	(* (cos x) (/ (sinh y) y))

simplify1.0s

Counts

83 → 83

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	144	762
1	352	718
2	1726	654
done	5000	653

prune264.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sinh y) (cos x))
0.1b	(/ (* (sinh y) (cos x)) y)

rewrite48.0ms

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` `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 → 55

Calls

3 calls:

2.0ms	(sinh y)
20.0ms	(* (sinh y) (cos x))
24.0ms	(/ (* (sinh y) (cos x)) y)

series318.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(sinh y)
113.0ms	(* (sinh y) (cos x))
114.0ms	(/ (* (sinh y) (cos x)) y)

simplify712.0ms

Counts

64 → 64

Iterations

Useful iterations: done (710.0ms)

Iter	Nodes	Cost
0	119	566
1	279	540
2	1296	475
done	5000	473

prune211.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(/ y (cos x))
0.1b	(/ (sinh y) (/ y (cos x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`sinh-def` `frac-2neg` `clear-num`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 112

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(/ y (cos x))
15.0ms	(/ (sinh y) (/ y (cos x)))

series237.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
61.0ms	(/ y (cos x))
112.0ms	(/ (sinh y) (/ y (cos x)))

simplify1.2s

Counts

121 → 121

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	206	1492
1	521	1417
2	2651	1334
done	5001	1331

prune394.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes107.0ms

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	6	7
1	7	7
done	7	7

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.4s	3020×	body	1280	valid
1.1s	2516×	body	640	valid
717.0ms	8530×	body	80	valid
360.0ms	1191×	body	320	valid
80.0ms	644×	body	160	valid