Details

sample97.0ms

Algorithm

intervals

Results

27.0ms	81×	body	640	valid
27.0ms	84×	body	1280	valid
14.0ms	292×	body	80	valid
7.0ms	50×	body	320	valid
2.0ms	21×	body	160	valid

simplify642.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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:

31.0ms	(* (cos x) (/ (sinh y) y))
14.0ms	(/ (sinh y) y)
3.0ms	(sinh y)

series296.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(* (cos x) (/ (sinh y) y))
98.0ms	(/ (sinh y) y)
92.0ms	(sinh y)

simplify587.0ms

Counts: 77 → 77

prune239.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cos x) (/ 1 (/ y (sinh y))))
0.0b	(sinh y)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
53×	`add-sqr-sqrt`
47×	`associate-r`
41×	`*-un-lft-identity`
39×	`add-cube-cbrt`
21×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`div-exp` `prod-exp`
5×	`unswap-sqr`
4×	`pow1` `sinh-def` `associate-/r/` `div-inv`
3×	`cbrt-undiv` `associate-l` `cbrt-unprod`
2×	`rec-exp` `1-exp` `add-log-exp`
1×	`associate-r/` `pow-prod-down` `un-div-inv` `-commutative`

Counts

2 → 84

Calls

2 calls:

45.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
2.0ms	(sinh y)

series167.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
68.0ms	(sinh y)

simplify1.1s

Counts: 90 → 90

prune281.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(sinh y)
0.0b	(/ (cos x) (sqrt (/ y (sinh y))))
0.0b	(* (/ (cos x) (sqrt (/ y (sinh y)))) (/ 1 (sqrt (/ y (sinh y)))))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

303×	`times-frac`
242×	`add-sqr-sqrt`
170×	`sqrt-prod`
150×	`*-un-lft-identity`
138×	`add-cube-cbrt`
56×	`associate-r` `associate-l`
28×	`add-exp-log` `unswap-sqr`
18×	`add-cbrt-cube`
17×	`associate-/r*`
13×	`associate-/r/` `div-inv`
12×	`sinh-def`
9×	`div-exp`
8×	`prod-exp`
6×	`pow1`
5×	`cbrt-undiv`
4×	`cbrt-unprod` `add-log-exp`
3×	`sqrt-div` `associate-/l*`
2×	`rec-exp` `1-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `un-div-inv` `*-commutative`

Counts

4 → 265

Calls

4 calls:

1.0ms	(sinh y)
1.0ms	(sinh y)
26.0ms	(/ (cos x) (sqrt (/ y (sinh y))))
153.0ms	(* (/ (cos x) (sqrt (/ y (sinh y)))) (/ 1 (sqrt (/ y (sinh y)))))

series562.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(sinh y)
91.0ms	(sinh y)
244.0ms	(/ (cos x) (sqrt (/ y (sinh y))))
139.0ms	(* (/ (cos x) (sqrt (/ y (sinh y)))) (/ 1 (sqrt (/ y (sinh y)))))

simplify739.0ms

Counts: 277 → 277

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes135.0ms

Accuracy

-2125.6% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify921.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.7s	2935×	body	1280	valid
836.0ms	2404×	body	640	valid
602.0ms	8514×	body	80	valid
292.0ms	1254×	body	320	valid
82.0ms	664×	body	160	valid