Details

sample123.0ms

Algorithm

intervals

Results

38.0ms	111×	body	1280	valid
31.0ms	43×	body	320	valid
17.0ms	75×	body	640	valid
15.0ms	275×	body	80	valid
2.0ms	14×	body	160	valid

simplify2.5s

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	262	7
6	805	7
7	4114	7
done	5000	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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)
2.0ms	(sinh y)
22.0ms	(* (sin x) (/ (sinh y) y))

series323.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(/ (sinh y) y)
65.0ms	(sinh y)
148.0ms	(* (sin x) (/ (sinh y) y))

simplify970.0ms

Counts

77 → 77

Iterations

Useful iterations: done (966.0ms)

Iter	Nodes	Cost
0	140	732
1	349	693
2	1720	629
done	5001	621

prune219.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite17.0ms

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:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

239.0ms	(* (cbrt y) (cbrt y))
273.0ms	(cbrt y)
344.0ms	(cbrt y)
258.0ms	(cbrt y)

simplify1.1s

Counts

85 → 85

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune259.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.7b	(* (* (sin x) (sinh y)) (/ 1 y))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-r`
14×	`add-sqr-sqrt`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
4×	`sinh-def` `associate-r/` `div-exp` `associate-l*` `pow-prod-down`
3×	`add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*l/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

1.0ms	(sinh y)
13.0ms	(* (sin x) (sinh y))
42.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

series315.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(sinh y)
115.0ms	(* (sin x) (sinh y))
127.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

simplify2.3s

Counts

76 → 76

Iterations

Useful iterations: 2 (419.0ms)

Iter	Nodes	Cost
0	154	827
1	430	748
2	2498	592
done	5000	592

prune194.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.5s	2984×	body	1280	valid
1.1s	8492×	body	80	valid
1.0s	2521×	body	640	valid
324.0ms	1165×	body	320	valid
127.0ms	571×	body	160	valid