Details

sample58.0ms

Algorithm

intervals

Results

16.0ms	62×	body	1280	valid
12.0ms	322×	body	80	valid
10.0ms	61×	body	640	valid
4.0ms	34×	body	320	valid
2.0ms	19×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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)
15.0ms	(* (sin x) (sinh y))
13.0ms	(/ (* (sin x) (sinh y)) x)

series240.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(sinh y)
87.0ms	(* (sin x) (sinh y))
96.0ms	(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Counts

58 → 58

Iterations

Useful iterations: 2 (34.0ms)

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

prune142.0ms

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))

rewrite26.0ms

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:

6.0ms	(/ (sinh y) x)
1.0ms	(sinh y)
16.0ms	(* (sin x) (/ (sinh y) x))

series268.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ (sinh y) x)
90.0ms	(sinh y)
101.0ms	(* (sin x) (/ (sinh y) x))

simplify38.0ms

Counts

77 → 77

Iterations

Useful iterations: 2 (33.0ms)

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)))

rewrite17.0ms

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)
12.0ms	(/ (sin x) (/ x (sinh y)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(sinh y)
94.0ms	(/ (sin x) (/ x (sinh y)))

simplify47.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (40.0ms)

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

prune231.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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)

series194.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(sinh y)
100.0ms	(* (/ (sin x) x) (sinh y))
29.0ms	(/ (sin x) x)

simplify40.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (35.0ms)

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

prune167.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes78.0ms

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

sample2.0s

Algorithm

intervals

Results

703.0ms	1848×	body	1280	valid
392.0ms	10241×	body	80	valid
336.0ms	1994×	body	640	valid
131.0ms	1125×	body	320	valid
47.0ms	578×	body	160	valid