Details

sample78.0ms

Algorithm

intervals

Results

28.0ms	97×	body	1280	valid
16.0ms	88×	body	640	valid
12.0ms	287×	body	80	valid
5.0ms	37×	body	320	valid
3.0ms	23×	body	160	valid

simplify16.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	29	7
3	64	7
4	134	7
5	242	7
6	440	7
7	968	7
8	2059	7
9	2880	7
10	4119	7
11	4578	7
12	4627	7
13	4638	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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:

3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
8.0ms	(* (sin x) (/ (sinh y) y))

series269.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (sinh y) y)
63.0ms	(sinh y)
113.0ms	(* (sin x) (/ (sinh y) y))

simplify2.8s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	140	732
1	331	689
2	1066	623
3	4363	621
done	5000	621

prune193.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-prod`
48×	`add-sqr-sqrt`
39×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
32×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
7×	`sqrt-div`
4×	`rem-sqrt-square` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 118

Calls

4 calls:

23.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
11.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
6.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))

series533.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
208.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
91.0ms	(sqrt (/ (sinh y) y))
91.0ms	(sqrt (/ (sinh y) y))

simplify1.7s

Counts

130 → 130

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	377	2571
1	1052	2236
2	4184	1965
done	5000	1960

prune451.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series782.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt y) (cbrt y))
191.0ms	(cbrt y)
188.0ms	(cbrt y)
191.0ms	(cbrt y)

simplify3.2s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	327	397
3	1169	379
4	3727	374
done	5000	374

prune222.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.1b	(/ (* (sin x) (sinh y)) y)

rewrite11.0ms

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:

1.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) y)

series281.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(sinh y)
96.0ms	(* (sin x) (sinh y))
114.0ms	(/ (* (sin x) (sinh y)) y)

simplify929.0ms

Counts

58 → 58

Iterations

Useful iterations: done (928.0ms)

Iter	Nodes	Cost
0	117	538
1	278	516
2	1028	445
done	5000	443

prune127.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes69.0ms

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	8	14
1	10	14
done	10	14

end0.0ms

sample2.3s

Algorithm

intervals

Results

897.0ms	2979×	body	1280	valid
478.0ms	2485×	body	640	valid
373.0ms	8508×	body	80	valid
171.0ms	1292×	body	320	valid
60.0ms	632×	body	160	valid