Details

sample93.0ms

Algorithm

intervals

Results

34.0ms	100×	body	1280	valid
17.0ms	90×	body	640	valid
15.0ms	283×	body	80	valid
5.0ms	37×	body	320	valid
2.0ms	17×	body	160	valid

simplify19.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	29	7
3	64	7
4	134	7
5	242	7
6	443	7
7	969	7
8	2045	7
9	2895	7
10	4076	7
11	4567	7
12	4615	7
13	4626	7
done	5001	7

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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:

1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) y))
4.0ms	(/ (sinh y) y)

series50.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh y)
28.0ms	(* (sin x) (/ (sinh y) y))
14.0ms	(/ (sinh y) y)

simplify2.7s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	140	732
1	331	689
2	1055	623
3	4309	621
done	5000	621

prune81.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ 1 (/ y (sinh y)))
0.0b	(* (sin x) (/ 1 (/ y (sinh y))))
0.0b	(/ y (sinh y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
9×	`sinh-def`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 192

Calls

4 calls:

1.0ms	(sinh y)
7.0ms	(/ 1 (/ y (sinh y)))
17.0ms	(* (sin x) (/ 1 (/ y (sinh y))))
7.0ms	(/ y (sinh y))

series66.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sinh y)
17.0ms	(/ 1 (/ y (sinh y)))
22.0ms	(* (sin x) (/ 1 (/ y (sinh y))))
17.0ms	(/ y (sinh y))

simplify1.1s

Counts

204 → 204

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	291	2521
1	708	2006
2	1651	1759
done	5000	1745

prune141.0ms

Filtered

131 candidates to 204 candidates (-55.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	204	3	207

Merged error: 0b

Counts

207 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
37×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
32×	`associate-r`
28×	`sqrt-prod`
15×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
6×	`associate-/r` `associate-/l`
5×	`sqrt-div`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`cbrt-undiv` `sinh-def` `frac-2neg` `div-exp` `clear-num` `*-commutative` `associate-/l/`
1×	`frac-times` `associate-*l/`

Counts

4 → 124

Calls

4 calls:

4.0ms	(/ (sinh y) y)
4.0ms	(/ (sinh y) y)
13.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
9.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

series115.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (sinh y) y)
12.0ms	(/ (sinh y) y)
41.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
51.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

simplify1.6s

Counts

136 → 136

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	362	2211
1	1014	1963
2	4946	1772
done	5000	1766

prune150.0ms

Filtered

107 candidates to 136 candidates (-27.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	136	3	139

Merged error: 0b

Counts

139 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
0.0b	(/ (sinh y) y)
0.0b	(pow (/ (sinh y) y) 3)
0.3b	(cbrt (pow (/ (sinh y) y) 3))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
70×	`cbrt-prod`
65×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
41×	`unpow-prod-down` `cube-prod`
35×	`associate-r`
11×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`pow1` `div-inv` `unswap-sqr`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `sinh-def` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod` `associate-/l/`

Counts

4 → 173

Calls

4 calls:

14.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
8.0ms	(/ (sinh y) y)
5.0ms	(pow (/ (sinh y) y) 3)
5.0ms	(cbrt (pow (/ (sinh y) y) 3))

series74.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
12.0ms	(/ (sinh y) y)
20.0ms	(pow (/ (sinh y) y) 3)
14.0ms	(cbrt (pow (/ (sinh y) y) 3))

simplify1.1s

Counts

185 → 185

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	234	2419
1	584	1872
2	2124	1671
done	5000	1669

prune159.0ms

Filtered

111 candidates to 185 candidates (-66.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	185	3	188

Merged error: 0b

Counts

188 → 3

regimes172.0ms

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	8	9
1	11	9
done	11	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

916.0ms	3056×	body	1280	valid
502.0ms	2561×	body	640	valid
417.0ms	8495×	body	80	valid
182.0ms	1265×	body	320	valid
63.0ms	648×	body	160	valid

Details

sample93.0ms

simplify19.4s

prune3.0ms

localize6.0ms

rewrite15.0ms

series50.0ms

simplify2.7s

prune81.0ms

localize8.0ms

rewrite42.0ms

series66.0ms

simplify1.1s

prune141.0ms

localize9.0ms

rewrite34.0ms

series115.0ms

simplify1.6s

prune150.0ms

localize10.0ms

rewrite40.0ms

series74.0ms

simplify1.1s

prune159.0ms

regimes172.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.6s

Profiling