Details

sample62.0ms

Algorithm

intervals

Results

17.0ms	62×	body	1280	valid
12.0ms	322×	body	80	valid
11.0ms	61×	body	640	valid
4.0ms	34×	body	320	valid
2.0ms	19×	body	160	valid

simplify47.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	144	4
4	278	4
5	517	4
6	1455	4
7	5002	4
done	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
11.7b	(/ (* (sin x) (sinh y)) x)

rewrite30.0ms

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` `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 → 49

Calls

3 calls:

1.0ms	(sinh y)
14.0ms	(* (sin x) (sinh y))
13.0ms	(/ (* (sin x) (sinh y)) x)

series241.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(sinh y)
86.0ms	(* (sin x) (sinh y))
97.0ms	(/ (* (sin x) (sinh y)) x)

simplify39.0ms

Counts

58 → 58

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	280	320
1	1233	272
2	5001	255
done	5001	255

prune134.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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:

7.0ms	(/ (sinh y) x)
1.0ms	(sinh y)
17.0ms	(* (sin x) (/ (sinh y) x))

series231.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ (sinh y) x)
60.0ms	(sinh y)
97.0ms	(* (sin x) (/ (sinh y) x))

simplify41.0ms

Counts

77 → 77

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	328	433
1	1261	387
2	5001	385
done	5001	385

prune168.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(sinh y)
0.8b	(/ (sin x) (/ x (sinh y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
45×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
5×	`sinh-def` `associate-/r/` `div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow1` `add-log-exp`
1×	`frac-2neg` `clear-num`

Counts

2 → 82

Calls

2 calls:

1.0ms	(sinh y)
13.0ms	(/ (sin x) (/ x (sinh y)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(sinh y)
97.0ms	(/ (sin x) (/ x (sinh y)))

simplify55.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	444	781
1	1850	741
2	5002	736
done	5002	736

prune223.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`sinh-def` `associate-r` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 69

Calls

3 calls:

1.0ms	(sinh y)
20.0ms	(* (/ (sin x) x) (sinh y))
8.0ms	(/ (sin x) x)

series191.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
99.0ms	(* (/ (sin x) x) (sinh y))
29.0ms	(/ (sin x) x)

simplify39.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	311	427
1	1229	381
2	5001	358
done	5001	358

prune160.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.1b 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	11	5
1	11	5
done	11	5

end0.0ms

sample1.9s

Algorithm

intervals

Results

533.0ms	1848×	body	1280	valid
398.0ms	10241×	body	80	valid
352.0ms	1994×	body	640	valid
150.0ms	1125×	body	320	valid
54.0ms	578×	body	160	valid