Details

sample107.0ms

Algorithm

intervals

Results

44.0ms	103×	body	1280	valid
20.0ms	72×	body	640	valid
15.0ms	258×	body	80	valid
7.0ms	34×	body	320	valid
2.0ms	17×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
7	1809
6	607
5	236
4	126
3	65
2	30
1	15
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

19.0ms

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

series109.0ms

Counts

1 → 3

Calls

1 calls:

109.0ms

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

simplify1.9s

Counts

35 → 35

Iterations

Iter	Nodes
done	5077
3	3118
2	824
1	251
0	95

prune145.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (sinh y))
0.1b	(* (/ (cos x) (/ y (sinh y))) (* (/ (cos x) (/ y (sinh y))) (/ (cos x) (/ y (sinh y)))))
0.3b	(* (/ (cos x) (/ y (sinh y))) (/ (cos x) (/ y (sinh y))))
0.3b	(cbrt (* (/ (cos x) (/ y (sinh y))) (* (/ (cos x) (/ y (sinh y))) (/ (cos x) (/ y (sinh y))))))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

375×	`times-frac`
234×	`add-sqr-sqrt`
213×	`add-cbrt-cube` `add-exp-log`
192×	`*-un-lft-identity` `add-cube-cbrt`
103×	`cbrt-undiv` `div-exp`
94×	`associate-l`
66×	`prod-exp` `cbrt-unprod`
48×	`associate-r`
47×	`swap-sqr`
25×	`pow1`
21×	`associate-/r/` `div-inv`
16×	`sinh-def`
12×	`unswap-sqr`
11×	`frac-times` `associate-*r/`
7×	`cbrt-div` `associate-*l/`
6×	`pow-prod-up`
4×	`pow-prod-down` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr` `*-commutative`
1×	`cbrt-prod` `clear-num` `frac-2neg` `pow1/3` `rem-cbrt-cube`

Counts

4 → 362

Calls

4 calls:

6.0ms	(/ y (sinh y))
121.0ms	(* (/ (cos x) (/ y (sinh y))) (* (/ (cos x) (/ y (sinh y))) (/ (cos x) (/ y (sinh y)))))
77.0ms	(* (/ (cos x) (/ y (sinh y))) (/ (cos x) (/ y (sinh y))))
78.0ms	(cbrt (* (/ (cos x) (/ y (sinh y))) (* (/ (cos x) (/ y (sinh y))) (/ (cos x) (/ y (sinh y))))))

series733.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(/ y (sinh y))
270.0ms	(* (/ (cos x) (/ y (sinh y))) (* (/ (cos x) (/ y (sinh y))) (/ (cos x) (/ y (sinh y)))))
185.0ms	(* (/ (cos x) (/ y (sinh y))) (/ (cos x) (/ y (sinh y))))
155.0ms	(cbrt (* (/ (cos x) (/ y (sinh y))) (* (/ (cos x) (/ y (sinh y))) (/ (cos x) (/ y (sinh y))))))

simplify1.8s

Counts

374 → 374

Iterations

Iter	Nodes
done	5000
1	2087
0	566

prune1.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (cbrt (* (/ (cos x) (/ y (sinh y))) (* (/ (cos x) (/ y (sinh y))) (cos x)))) (cbrt (/ y (sinh y))))
0.1b	(* (/ (cos x) (/ y (sinh y))) (* (/ (cos x) (/ y (sinh y))) (cos x)))
0.3b	(* (/ (cos x) (/ y (sinh y))) (cos x))
0.3b	(cbrt (* (/ (cos x) (/ y (sinh y))) (* (/ (cos x) (/ y (sinh y))) (cos x))))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

254×	`times-frac`
144×	`add-sqr-sqrt`
135×	`*-un-lft-identity` `add-cube-cbrt`
94×	`associate-l`
89×	`cbrt-prod`
69×	`add-exp-log`
67×	`add-cbrt-cube`
25×	`cbrt-undiv` `div-exp`
24×	`prod-exp` `cbrt-unprod`
17×	`associate-/r*`
14×	`associate-/r/` `div-inv`
11×	`pow1` `sinh-def`
10×	`associate-*l/`
7×	`cbrt-div`
4×	`associate-r` `pow-prod-down` `associate-/l*` `add-log-exp`
3×	`frac-times` `associate-*r/` `unswap-sqr` `associate-/l/`
2×	`*-commutative`
1×	`clear-num` `frac-2neg` `pow1/3`

Counts

4 → 271

Calls

4 calls:

15.0ms	(/ (cbrt (* (/ (cos x) (/ y (sinh y))) (* (/ (cos x) (/ y (sinh y))) (cos x)))) (cbrt (/ y (sinh y))))
83.0ms	(* (/ (cos x) (/ y (sinh y))) (* (/ (cos x) (/ y (sinh y))) (cos x)))
44.0ms	(* (/ (cos x) (/ y (sinh y))) (cos x))
49.0ms	(cbrt (* (/ (cos x) (/ y (sinh y))) (* (/ (cos x) (/ y (sinh y))) (cos x))))

series795.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(/ (cbrt (* (/ (cos x) (/ y (sinh y))) (* (/ (cos x) (/ y (sinh y))) (cos x)))) (cbrt (/ y (sinh y))))
181.0ms	(* (/ (cos x) (/ y (sinh y))) (* (/ (cos x) (/ y (sinh y))) (cos x)))
121.0ms	(* (/ (cos x) (/ y (sinh y))) (cos x))
306.0ms	(cbrt (* (/ (cos x) (/ y (sinh y))) (* (/ (cos x) (/ y (sinh y))) (cos x))))

simplify1.9s

Counts

283 → 283

Iterations

Iter	Nodes
done	5000
1	1196
0	507

prune1.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes179.0ms

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

sample4.3s

Algorithm

intervals

Results

1.5s	3016×	body	1280	valid
1.1s	2476×	body	640	valid
659.0ms	8505×	body	80	valid
568.0ms	1284×	body	320	valid
113.0ms	646×	body	160	valid