Details

sample146.0ms

Algorithm

intervals

Results

47.0ms	92×	body	1280	valid
33.0ms	99×	body	640	valid
23.0ms	292×	body	80	valid
10.0ms	42×	body	320	valid
3.0ms	16×	body	160	valid

simplify12.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	30	7
3	67	7
4	137	7
5	265	7
6	482	7
7	1041	7
8	1987	7
9	3484	7
10	4730	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `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 → 74

Calls

3 calls:

1.0ms	(sinh y)
17.0ms	(* (cos x) (/ (sinh y) y))
7.0ms	(/ (sinh y) y)

series289.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(sinh y)
100.0ms	(* (cos x) (/ (sinh y) y))
97.0ms	(/ (sinh y) y)

simplify2.9s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	144	762
1	328	714
2	1036	648
3	3619	635
done	5001	635

prune278.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
9×	`sinh-def`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 200

Calls

4 calls:

2.0ms	(sinh y)
17.0ms	(/ 1 (/ y (sinh y)))
61.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
9.0ms	(/ y (sinh y))

series461.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sinh y)
140.0ms	(/ 1 (/ y (sinh y)))
132.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
118.0ms	(/ y (sinh y))

simplify1.6s

Counts

212 → 212

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	297	2569
1	679	2044
2	1611	1793
done	5001	1747

prune499.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 116

Calls

3 calls:

2.0ms	(sinh y)
24.0ms	(/ (cos x) (/ y (sinh y)))
8.0ms	(/ y (sinh y))

series345.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(sinh y)
129.0ms	(/ (cos x) (/ y (sinh y)))
129.0ms	(/ y (sinh y))

simplify1.4s

Counts

125 → 125

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	223	1578
1	470	1482
2	1497	1407
done	5000	1383

prune425.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (sinh y))
0.6b	(cbrt (sinh y))
0.6b	(cbrt (sinh y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sinh-def` `cbrt-div`

Counts

4 → 55

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt (sinh y))
1.0ms	(cbrt (sinh y))
2.0ms	(cbrt (sinh y))

series968.0ms

Counts

4 → 12

Calls

4 calls:

315.0ms	(cbrt y)
227.0ms	(cbrt (sinh y))
200.0ms	(cbrt (sinh y))
225.0ms	(cbrt (sinh y))

simplify2.2s

Counts

67 → 67

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	66	437
1	116	409
2	223	385
3	431	370
4	1011	370
5	3024	370
done	5000	370

prune255.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
done	6	7

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.9s	2965×	body	1280	valid
1.2s	2465×	body	640	valid
628.0ms	8552×	body	80	valid
266.0ms	1243×	body	320	valid
81.0ms	587×	body	160	valid