Details

sample130.0ms

Algorithm

intervals

Results

52.0ms	109×	body	1280	valid
23.0ms	73×	body	640	valid
20.0ms	272×	body	80	valid
11.0ms	45×	body	320	valid
4.0ms	24×	body	160	valid

simplify14.6s

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	137	7
5	265	7
6	482	7
7	1041	7
8	1987	7
9	3484	7
10	4730	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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:

7.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
19.0ms	(* (sin x) (/ (sinh y) y))

series381.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(/ (sinh y) y)
102.0ms	(sinh y)
155.0ms	(* (sin x) (/ (sinh y) y))

simplify2.8s

Counts

83 → 83

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	146	764
1	337	716
2	1076	650
3	3673	649
done	5000	636

prune328.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
36×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
15×	`cbrt-div`
13×	`pow1` `add-exp-log`
9×	`associate-*r/`
8×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 115

Calls

4 calls:

202.0ms	(* (* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (cbrt (/ (sinh y) y)))
3.0ms	(cbrt (/ (sinh y) y))
2.0ms	(cbrt (/ (sinh y) y))
3.0ms	(cbrt (/ (sinh y) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (cbrt (/ (sinh y) y)))
292.0ms	(cbrt (/ (sinh y) y))
315.0ms	(cbrt (/ (sinh y) y))
338.0ms	(cbrt (/ (sinh y) y))

simplify3.2s

Counts

127 → 127

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	175	1989
1	423	1909
2	1324	1603
3	3612	1490
done	5000	1465

prune799.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.4b	(/ (* (sin x) (sinh y)) y)

rewrite29.0ms

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×	`expm1-log1p-u` `sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `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 → 55

Calls

3 calls:

1.0ms	(sinh y)
12.0ms	(* (sin x) (sinh y))
14.0ms	(/ (* (sin x) (sinh y)) y)

series364.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(sinh y)
134.0ms	(* (sin x) (sinh y))
131.0ms	(/ (* (sin x) (sinh y)) y)

simplify1.7s

Counts

64 → 64

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	123	572
1	281	546
2	1031	475
done	5000	455

prune224.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	11	20
done	11	20

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.0s	2921×	body	1280	valid
1.4s	2521×	body	640	valid
750.0ms	8507×	body	80	valid
404.0ms	1268×	body	320	valid
184.0ms	601×	body	160	valid