Details

sample143.0ms

Algorithm

intervals

Results

55.0ms	103×	body	1280	valid
32.0ms	72×	body	640	valid
19.0ms	258×	body	80	valid
9.0ms	34×	body	320	valid
3.0ms	17×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

14.0ms

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

series151.0ms

Counts

1 → 3

Calls

1 calls:

151.0ms

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

simplify2.3s

Counts

37 → 37

Iterations

Iter	Nodes
done	5002
3	3251
2	844
1	256
0	97

prune197.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (cos x) y)
0.3b	(* (/ (cos x) y) (sinh y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 65

Calls

2 calls:

13.0ms	(/ (cos x) y)
27.0ms	(* (/ (cos x) y) (sinh y))

series205.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (cos x) y)
166.0ms	(* (/ (cos x) y) (sinh y))

simplify2.5s

Counts

71 → 71

Iterations

Iter	Nodes
done	5003
3	3642
2	980
1	310
0	128

prune373.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos x)) (cbrt (cos x)))
0.3b	(cbrt (cos x))
0.3b	(cbrt (cos x))
0.3b	(cbrt (cos x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt (cos x)) (cbrt (cos x)))
1.0ms	(cbrt (cos x))
1.0ms	(cbrt (cos x))
1.0ms	(cbrt (cos x))

series696.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(* (cbrt (cos x)) (cbrt (cos x)))
173.0ms	(cbrt (cos x))
141.0ms	(cbrt (cos x))
127.0ms	(cbrt (cos x))

simplify4.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	4916
3	1220
2	377
1	149
0	68

prune519.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes227.0ms

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

sample5.2s

Algorithm

intervals

Results

2.5s	3016×	body	1280	valid
932.0ms	8505×	body	80	valid
910.0ms	2476×	body	640	valid
317.0ms	1284×	body	320	valid
101.0ms	646×	body	160	valid