Details

sample150.0ms

Algorithm

intervals

Results

46.0ms	103×	body	1280	valid
43.0ms	72×	body	640	valid
19.0ms	300×	body	80	valid
9.0ms	47×	body	320	valid
4.0ms	30×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3986
6	802
5	260
4	135
3	67
2	30
1	15
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

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` `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 → 68

Calls

3 calls:

12.0ms	(/ (sinh y) y)
2.0ms	(sinh y)
27.0ms	(* (cos x) (/ (sinh y) y))

series409.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(/ (sinh y) y)
88.0ms	(sinh y)
154.0ms	(* (cos x) (/ (sinh y) y))

simplify1.2s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1710
1	338
0	137

prune418.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sinh y) y) (cos x))
0.2b	(* (* (/ (sinh y) y) (cos x)) (* (* (/ (sinh y) y) (cos x)) (* (/ (sinh y) y) (cos x))))
0.3b	(* (* (/ (sinh y) y) (cos x)) (* (/ (sinh y) y) (cos x)))
0.6b	(cbrt (* (* (/ (sinh y) y) (cos x)) (* (* (/ (sinh y) y) (cos x)) (* (/ (sinh y) y) (cos x)))))

rewrite609.0ms

Algorithm

rewrite-expression-head

Rules

216×	`add-cbrt-cube` `add-exp-log`
173×	`pow1`
136×	`prod-exp` `cbrt-unprod`
78×	`pow-prod-down`
36×	`associate-*l/`
35×	`cbrt-undiv` `div-exp`
34×	`pow-prod-up`
17×	`add-sqr-sqrt`
15×	`associate-l`
12×	`*-un-lft-identity` `pow-sqr` `add-cube-cbrt`
11×	`frac-times` `associate-*r/`
10×	`times-frac`
7×	`cbrt-div`
6×	`pow-plus`
5×	`associate-r`
4×	`add-log-exp`
3×	`pow2` `*-commutative`
2×	`cube-unmult` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `div-inv`

Counts

4 → 206

Calls

4 calls:

31.0ms	(* (/ (sinh y) y) (cos x))
207.0ms	(* (* (/ (sinh y) y) (cos x)) (* (* (/ (sinh y) y) (cos x)) (* (/ (sinh y) y) (cos x))))
101.0ms	(* (* (/ (sinh y) y) (cos x)) (* (/ (sinh y) y) (cos x)))
242.0ms	(cbrt (* (* (/ (sinh y) y) (cos x)) (* (* (/ (sinh y) y) (cos x)) (* (/ (sinh y) y) (cos x)))))

series685.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (/ (sinh y) y) (cos x))
238.0ms	(* (* (/ (sinh y) y) (cos x)) (* (* (/ (sinh y) y) (cos x)) (* (/ (sinh y) y) (cos x))))
166.0ms	(* (* (/ (sinh y) y) (cos x)) (* (/ (sinh y) y) (cos x)))
133.0ms	(cbrt (* (* (/ (sinh y) y) (cos x)) (* (* (/ (sinh y) y) (cos x)) (* (/ (sinh y) y) (cos x)))))

simplify1.6s

Counts

218 → 218

Iterations

Iter	Nodes
done	5000
1	866
0	263

prune818.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes225.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.2s	2888×	body	1280	valid
1.1s	8561×	body	80	valid
907.0ms	2498×	body	640	valid
315.0ms	1228×	body	320	valid
85.0ms	597×	body	160	valid