Details

sample99.0ms

Algorithm

intervals

Results

35.0ms	91×	body	1280	valid
18.0ms	274×	body	80	valid
18.0ms	82×	body	640	valid
5.0ms	36×	body	320	valid
1.0ms	10×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

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:

31.0ms	(* (cos x) (/ (sinh y) y))
3.0ms	(sinh y)
26.0ms	(/ (sinh y) y)

series401.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(* (cos x) (/ (sinh y) y))
111.0ms	(sinh y)
139.0ms	(/ (sinh y) y)

simplify1.2s

Counts

77 → 77

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	138	730
1	341	691
2	1726	629
done	5000	627

prune234.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sinh y) (cos x))
0.3b	(* (* (sinh y) (cos x)) (/ 1 y))

rewrite56.0ms

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` `div-exp` `associate-l` `pow-prod-down` `associate-*l/`
3×	`add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

1.0ms	(sinh y)
15.0ms	(* (sinh y) (cos x))
37.0ms	(* (* (sinh y) (cos x)) (/ 1 y))

series244.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(sinh y)
81.0ms	(* (sinh y) (cos x))
97.0ms	(* (* (sinh y) (cos x)) (/ 1 y))

simplify2.0s

Counts

76 → 76

Iterations

Useful iterations: 2 (273.0ms)

Iter	Nodes	Cost
0	150	821
1	406	742
2	2359	594
done	5002	594

prune209.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.0b	(pow (/ (sinh y) y) 3)
0.2b	(cbrt (pow (/ (sinh y) y) 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `div-inv`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `sinh-def` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube` `associate-/l/`

Counts

4 → 124

Calls

4 calls:

1.0ms	(sinh y)
7.0ms	(/ (sinh y) y)
7.0ms	(pow (/ (sinh y) y) 3)
6.0ms	(cbrt (pow (/ (sinh y) y) 3))

series409.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(sinh y)
99.0ms	(/ (sinh y) y)
129.0ms	(pow (/ (sinh y) y) 3)
104.0ms	(cbrt (pow (/ (sinh y) y) 3))

simplify2.0s

Counts

136 → 136

Iterations

Useful iterations: 2 (461.0ms)

Iter	Nodes	Cost
0	180	1635
1	570	1303
2	3231	1175
done	5000	1175

prune366.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (* (cos x) (sinh y)) y)) (cbrt (/ (* (cos x) (sinh y)) y)))
0.3b	(cbrt (/ (* (cos x) (sinh y)) y))
0.3b	(cbrt (/ (* (cos x) (sinh y)) y))
0.3b	(cbrt (/ (* (cos x) (sinh y)) y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

18.0ms	(* (cbrt (/ (* (cos x) (sinh y)) y)) (cbrt (/ (* (cos x) (sinh y)) y)))
4.0ms	(cbrt (/ (* (cos x) (sinh y)) y))
4.0ms	(cbrt (/ (* (cos x) (sinh y)) y))
4.0ms	(cbrt (/ (* (cos x) (sinh y)) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

382.0ms	(* (cbrt (/ (* (cos x) (sinh y)) y)) (cbrt (/ (* (cos x) (sinh y)) y)))
259.0ms	(cbrt (/ (* (cos x) (sinh y)) y))
283.0ms	(cbrt (/ (* (cos x) (sinh y)) y))
218.0ms	(cbrt (/ (* (cos x) (sinh y)) y))

simplify809.0ms

Counts

115 → 115

Iterations

Useful iterations: done (805.0ms)

Iter	Nodes	Cost
0	147	2004
1	334	1871
2	1262	1736
done	5000	1626

prune534.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.8s	2910×	body	1280	valid
963.0ms	8461×	body	80	valid
684.0ms	2443×	body	640	valid
222.0ms	1207×	body	320	valid
72.0ms	611×	body	160	valid