Details

sample71.0ms

Algorithm

intervals

Results

21.0ms	347×	body	80	valid
19.0ms	53×	body	1280	valid
12.0ms	52×	body	640	valid
5.0ms	30×	body	320	valid
2.0ms	15×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.5b	(/ (* (sin x) (sinh y)) x)

rewrite28.0ms

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)
12.0ms	(* (sin x) (sinh y))
14.0ms	(/ (* (sin x) (sinh y)) x)

series296.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(sinh y)
113.0ms	(* (sin x) (sinh y))
111.0ms	(/ (* (sin x) (sinh y)) x)

simplify993.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	967
1	288
0	119

prune228.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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:

1.0ms	(sinh y)
7.0ms	(/ (sinh y) x)
20.0ms	(* (sin x) (/ (sinh y) x))

series251.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(sinh y)
81.0ms	(/ (sinh y) x)
98.0ms	(* (sin x) (/ (sinh y) x))

simplify1.9s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
3	3520
2	1006
1	346
0	143

prune367.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ 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:

1.0ms	(sinh y)
12.0ms	(/ x (sinh y))
20.0ms	(/ (sin x) (/ x (sinh y)))

series358.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(sinh y)
146.0ms	(/ x (sinh y))
131.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.4s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1636
1	529
0	218

prune459.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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:

2.0ms	(sinh y)
25.0ms	(* (/ (sin x) x) (sinh y))
12.0ms	(/ (sin x) x)

series246.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(sinh y)
131.0ms	(* (/ (sin x) x) (sinh y))
42.0ms	(/ (sin x) x)

simplify1.9s

Counts

81 → 81

Iterations

Iter	Nodes
done	5012
3	3875
2	1079
1	330
0	137

prune282.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.4s	1921×	body	1280	valid
867.0ms	10470×	body	80	valid
649.0ms	1937×	body	640	valid
608.0ms	1114×	body	320	valid
126.0ms	558×	body	160	valid