Details

sample125.0ms

Algorithm

intervals

Results

40.0ms	92×	body	1280	valid
28.0ms	99×	body	640	valid
20.0ms	291×	body	80	valid
9.0ms	42×	body	320	valid
3.0ms	17×	body	160	valid

simplify13.6s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

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)
15.0ms	(/ (sinh y) y)
48.0ms	(* (sin x) (/ (sinh y) y))

series383.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(sinh y)
120.0ms	(/ (sinh y) y)
160.0ms	(* (sin x) (/ (sinh y) y))

simplify3.3s

Counts

77 → 77

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	140	732
1	322	689
2	1032	623
3	3533	621
done	5000	609

prune285.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`associate-r` `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` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

1.0ms	(sinh y)
28.0ms	(* (/ (sinh y) y) (sin x))
12.0ms	(/ (sinh y) y)

series322.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(sinh y)
99.0ms	(* (/ (sinh y) y) (sin x))
126.0ms	(/ (sinh y) y)

simplify2.5s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	141	715
1	328	684
2	923	616
3	3053	614
done	5002	614

prune247.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sinh y) (sin x))
13.8b	(/ (* (sinh y) (sin x)) y)

rewrite31.0ms

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` `div-exp` `associate-*l/` `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)
12.0ms	(* (sinh y) (sin x))
15.0ms	(/ (* (sinh y) (sin x)) y)

series303.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(sinh y)
108.0ms	(* (sinh y) (sin x))
111.0ms	(/ (* (sinh y) (sin x)) y)

simplify3.9s

Counts

58 → 58

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	117	538
1	269	516
2	968	445
3	4772	443
done	5000	443

prune169.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(/ y (sin x))
0.2b	(/ (sinh y) (/ y (sin x)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`sinh-def` `frac-2neg` `clear-num`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 106

Calls

3 calls:

3.0ms	(sinh y)
12.0ms	(/ y (sin x))
22.0ms	(/ (sinh y) (/ y (sin x)))

series309.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(sinh y)
85.0ms	(/ y (sin x))
118.0ms	(/ (sinh y) (/ y (sin x)))

simplify3.4s

Counts

115 → 115

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	202	1462
1	436	1375
2	1403	1300
3	4947	1296
done	5000	1296

prune333.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes109.0ms

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
1	7	7
done	7	7

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.0s	2971×	body	1280	valid
1.1s	8549×	body	80	valid
767.0ms	2460×	body	640	valid
325.0ms	1237×	body	320	valid
80.0ms	592×	body	160	valid