Details

sample110.0ms

Algorithm

intervals

Results

42.0ms	98×	body	1280	valid
19.0ms	77×	body	640	valid
16.0ms	281×	body	80	valid
6.0ms	37×	body	320	valid
3.0ms	24×	body	160	valid

simplify13.0s

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

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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:

41.0ms	(* (sin x) (/ (sinh y) y))
14.0ms	(/ (sinh y) y)
3.0ms	(sinh y)

series347.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(* (sin x) (/ (sinh y) y))
125.0ms	(/ (sinh y) y)
64.0ms	(sinh y)

simplify3.1s

Counts

83 → 83

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	146	764
1	337	716
2	1073	650
3	3692	649
done	5000	648

prune271.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sinh y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`sinh-def` `cbrt-div`

Counts

4 → 53

Calls

4 calls:

3.0ms	(cbrt (sinh y))
2.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series964.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt (sinh y))
241.0ms	(cbrt y)
219.0ms	(cbrt y)
240.0ms	(cbrt y)

simplify2.4s

Counts

65 → 65

Iterations

Useful iterations: 3 (144.0ms)

Iter	Nodes	Cost
0	66	335
1	116	315
2	223	291
3	432	278
4	1014	278
5	2993	278
done	5001	278

prune306.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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)
17.0ms	(* (sin x) (sinh y))
22.0ms	(/ (* (sin x) (sinh y)) y)

series409.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(sinh y)
150.0ms	(* (sin x) (sinh y))
175.0ms	(/ (* (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

prune185.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes97.0ms

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

sample3.6s

Algorithm

intervals

Results

1.4s	2991×	body	1280	valid
698.0ms	2451×	body	640	valid
590.0ms	8605×	body	80	valid
239.0ms	1230×	body	320	valid
77.0ms	570×	body	160	valid