Details

sample74.0ms

Algorithm

intervals

Results

27.0ms	98×	body	1280	valid
13.0ms	77×	body	640	valid
11.0ms	281×	body	80	valid
4.0ms	37×	body	320	valid
2.0ms	24×	body	160	valid

simplify78.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	137	4
4	262	4
5	492	4
6	1390	4
7	4856	4
8	5001	4
done	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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:

17.0ms	(* (sin x) (/ (sinh y) y))
7.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series253.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(* (sin x) (/ (sinh y) y))
86.0ms	(/ (sinh y) y)
64.0ms	(sinh y)

simplify39.0ms

Counts

77 → 77

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	333	428
1	1323	384
2	5002	382
done	5002	382

prune165.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

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)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt (sinh y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series702.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (sinh y))
178.0ms	(cbrt y)
174.0ms	(cbrt y)
184.0ms	(cbrt y)

simplify66.0ms

Counts

57 → 57

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	112	192
1	214	178
2	461	170
3	1394	170
4	5001	170
done	5001	170

prune184.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

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)

rewrite30.0ms

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)
15.0ms	(* (sin x) (sinh y))
13.0ms	(/ (* (sin x) (sinh y)) y)

series244.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(sinh y)
87.0ms	(* (sin x) (sinh y))
101.0ms	(/ (* (sin x) (sinh y)) y)

simplify35.0ms

Counts

58 → 58

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	279	320
1	1233	272
2	5001	255
done	5001	255

prune109.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes89.0ms

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	7	4
1	7	4
done	7	4

end0.0ms

sample2.3s

Algorithm

intervals

Results

839.0ms	2991×	body	1280	valid
433.0ms	2451×	body	640	valid
352.0ms	8605×	body	80	valid
147.0ms	1230×	body	320	valid
51.0ms	570×	body	160	valid