Details

sample77.0ms

Algorithm

intervals

Results

20.0ms	54×	body	1280	valid
18.0ms	335×	body	80	valid
14.0ms	57×	body	640	valid
8.0ms	44×	body	320	valid
3.0ms	22×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1703
6	620
5	247
4	128
3	62
2	30
1	15
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
17.3b	(/ (* (sin x) (sinh y)) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
3×	`sinh-def` `associate-/r` `times-frac` `associate-r` `associate-l*` `insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr` `associate-/l/`

Counts

3 → 52

Calls

3 calls:

1.0ms	(sinh y)
10.0ms	(* (sin x) (sinh y))
17.0ms	(/ (* (sin x) (sinh y)) x)

series367.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(sinh y)
115.0ms	(* (sin x) (sinh y))
143.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.3s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	967
1	288
0	119

prune237.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (/ (sinh y) x))
0.2b	(/ (sinh y) x)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`associate-/r` `associate-l` `insert-posit16` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 71

Calls

3 calls:

2.0ms	(sinh y)
23.0ms	(* (sin x) (/ (sinh y) x))
11.0ms	(/ (sinh y) x)

series329.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(sinh y)
133.0ms	(* (sin x) (/ (sinh y) x))
103.0ms	(/ (sinh y) x)

simplify2.3s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
3	3506
2	1021
1	348
0	143

prune363.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(/ x (sinh y))
0.6b	(/ (sin x) (/ x (sinh y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg`

Counts

3 → 113

Calls

3 calls:

3.0ms	(sinh y)
9.0ms	(/ x (sinh y))
21.0ms	(/ (sin x) (/ x (sinh y)))

series401.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(sinh y)
133.0ms	(/ x (sinh y))
148.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.7s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1636
1	529
0	218

prune500.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(/ (sin x) x)
0.3b	(* (/ (sin x) x) (sinh y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`sinh-def` `associate-/r` `associate-r` `insert-posit16` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 72

Calls

3 calls:

3.0ms	(sinh y)
15.0ms	(/ (sin x) x)
27.0ms	(* (/ (sin x) x) (sinh y))

series255.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(sinh y)
52.0ms	(/ (sin x) x)
116.0ms	(* (/ (sin x) x) (sinh y))

simplify2.2s

Counts

81 → 81

Iterations

Iter	Nodes
done	5011
3	3681
2	1008
1	329
0	137

prune364.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes191.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.5s	1801×	body	1280	valid
1.4s	2002×	body	640	valid
976.0ms	10225×	body	80	valid
271.0ms	1085×	body	320	valid
101.0ms	621×	body	160	valid