Details

sample111.0ms

Algorithm

intervals

Results

35.0ms	86×	body	1280	valid
19.0ms	72×	body	640	valid
18.0ms	289×	body	80	valid
6.0ms	34×	body	320	valid
2.0ms	16×	body	160	valid

simplify5.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1888
6	631
5	245
4	128
3	65
2	30
1	15
0	6

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

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×	`expm1-log1p-u` `associate-/r` `associate-l` `insert-posit16` `log1p-expm1-u` `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 → 77

Calls

3 calls:

47.0ms	(* (cos x) (/ (sinh y) y))
4.0ms	(sinh y)
15.0ms	(/ (sinh y) y)

series523.0ms

Counts

3 → 9

Calls

3 calls:

212.0ms	(* (cos x) (/ (sinh y) y))
125.0ms	(sinh y)
187.0ms	(/ (sinh y) y)

simplify5.7s

Counts

86 → 86

Iterations

Iter	Nodes
done	5064
3	3790
2	1108
1	352
0	146

prune901.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`

Counts

3 → 119

Calls

3 calls:

4.0ms	(sinh y)
32.0ms	(/ (cos x) (/ y (sinh y)))
9.0ms	(/ y (sinh y))

series560.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(sinh y)
177.0ms	(/ (cos x) (/ y (sinh y)))
258.0ms	(/ y (sinh y))

simplify2.8s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	1616
1	560
0	226

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (cos x) (expm1 (log1p (/ y (sinh y)))))
0.0b	(/ y (sinh y))
0.0b	(expm1 (log1p (/ y (sinh y))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`expm1-log1p` `associate-/r/` `expm1-udef`

Counts

4 → 84

Calls

4 calls:

4.0ms	(sinh y)
20.0ms	(/ (cos x) (expm1 (log1p (/ y (sinh y)))))
8.0ms	(/ y (sinh y))
1.0ms	(expm1 (log1p (/ y (sinh y))))

series2.6s

Counts

4 → 12

Calls

4 calls:

123.0ms	(sinh y)
404.0ms	(/ (cos x) (expm1 (log1p (/ y (sinh y)))))
222.0ms	(/ y (sinh y))
1.8s	(expm1 (log1p (/ y (sinh y))))

simplify6.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
3	4626
2	1238
1	434
0	195

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes404.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
0	8

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.3s	3096×	body	1280	valid
1.2s	2453×	body	640	valid
761.0ms	8615×	body	80	valid
319.0ms	1252×	body	320	valid
87.0ms	590×	body	160	valid