Details

sample125.0ms

Algorithm

intervals

Results

49.0ms	103×	body	1280	valid
24.0ms	74×	body	640	valid
17.0ms	255×	body	80	valid
7.0ms	32×	body	320	valid
3.0ms	18×	body	160	valid

simplify741.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

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:

10.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
65.0ms	(* (cos x) (/ (sinh y) y))

series410.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(/ (sinh y) y)
119.0ms	(sinh y)
140.0ms	(* (cos x) (/ (sinh y) y))

simplify611.0ms

Counts: 77 → 77

prune308.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-prod`
48×	`add-sqr-sqrt`
39×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
32×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
7×	`sqrt-div`
4×	`rem-sqrt-square` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 118

Calls

4 calls:

8.0ms	(sqrt (/ (sinh y) y))
7.0ms	(sqrt (/ (sinh y) y))
29.0ms	(* (cos x) (sqrt (/ (sinh y) y)))
77.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series736.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(sqrt (/ (sinh y) y))
116.0ms	(sqrt (/ (sinh y) y))
284.0ms	(* (cos x) (sqrt (/ (sinh y) y)))
198.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify564.0ms

Counts: 130 → 130

prune593.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

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` `div-exp` `associate-*l/` `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:

3.0ms	(sinh y)
23.0ms	(* (sinh y) (cos x))
28.0ms	(/ (* (sinh y) (cos x)) y)

series378.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(sinh y)
129.0ms	(* (sinh y) (cos x))
128.0ms	(/ (* (sinh y) (cos x)) y)

simplify549.0ms

Counts: 58 → 58

prune202.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify716.0ms

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.1s	3041×	body	1280	valid
1.1s	8359×	body	80	valid
850.0ms	2411×	body	640	valid
339.0ms	1201×	body	320	valid
83.0ms	609×	body	160	valid