Details

sample115.0ms

Algorithm

intervals

Results

33.0ms	92×	body	1280	valid
16.0ms	74×	body	640	valid
16.0ms	288×	body	80	valid
7.0ms	47×	body	320	valid
2.0ms	20×	body	160	valid

simplify12.6s

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	135	7
5	256	7
6	460	7
7	977	7
8	1864	7
9	3263	7
10	4445	7
done	5001	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

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:

8.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
28.0ms	(* (sin x) (/ (sinh y) y))

series383.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(/ (sinh y) y)
105.0ms	(sinh y)
169.0ms	(* (sin x) (/ (sinh y) y))

simplify2.7s

Counts

77 → 77

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	140	732
1	322	689
2	1032	623
3	3528	621
done	5001	609

prune268.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (sinh y) y))
0.0b	(cbrt (/ (sinh y) y))
0.0b	(cbrt (/ (sinh y) y))
0.0b	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

2.0ms	(cbrt (/ (sinh y) y))
3.0ms	(cbrt (/ (sinh y) y))
7.0ms	(cbrt (/ (sinh y) y))
36.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

330.0ms	(cbrt (/ (sinh y) y))
380.0ms	(cbrt (/ (sinh y) y))
316.0ms	(cbrt (/ (sinh y) y))
324.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

simplify1.8s

Counts

156 → 156

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	186	2265
1	330	2122
2	831	2047
3	1750	1947
done	5000	1911

prune806.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.0b	(/ (* (sin x) (sinh y)) y)

rewrite38.0ms

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` `associate-*r/` `div-exp` `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)
18.0ms	(* (sin x) (sinh y))
14.0ms	(/ (* (sin x) (sinh y)) y)

series387.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(sinh y)
130.0ms	(* (sin x) (sinh y))
163.0ms	(/ (* (sin x) (sinh y)) y)

simplify4.2s

Counts

58 → 58

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	117	538
1	269	516
2	986	445
3	4851	419
done	5000	419

prune145.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

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` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

34.0ms	(/ (sin x) (/ y (sinh y)))
3.0ms	(sinh y)
11.0ms	(/ y (sinh y))

series372.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(/ (sin x) (/ y (sinh y)))
110.0ms	(sinh y)
137.0ms	(/ y (sinh y))

simplify1.5s

Counts

119 → 119

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	219	1548
1	464	1456
2	1488	1381
done	5000	1363

prune416.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes132.0ms

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

sample5.6s

Algorithm

intervals

Results

1.9s	3013×	body	1280	valid
1.3s	2437×	body	640	valid
880.0ms	8601×	body	80	valid
540.0ms	584×	body	160	valid
370.0ms	1197×	body	320	valid