Details

sample59.0ms

Algorithm

intervals

Results

13.0ms	28×	body	1280	valid
11.0ms	157×	body	80	valid
11.0ms	37×	body	640	valid
6.0ms	25×	body	320	valid
1.0ms	9×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
4	17
3	16
2	12
1	8
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 59

Calls

2 calls:

24.0ms	(* x (/ (sin y) y))
14.0ms	(/ (sin y) y)

series176.0ms

Counts

2 → 6

Calls

2 calls:

119.0ms	(* x (/ (sin y) y))
57.0ms	(/ (sin y) y)

simplify1.1s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	996
1	232
0	98

prune419.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 176

Calls

3 calls:

30.0ms	(* x (/ 1 (/ y (sin y))))
9.0ms	(/ y (sin y))
10.0ms	(/ 1 (/ y (sin y)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(* x (/ 1 (/ y (sin y))))
34.0ms	(/ y (sin y))
48.0ms	(/ 1 (/ y (sin y)))

simplify1.7s

Counts

185 → 185

Iterations

Iter	Nodes
done	5000
2	3259
1	657
0	238

prune873.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.1b	(/ y (sin y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 97

Calls

2 calls:

8.0ms	(/ x (/ y (sin y)))
6.0ms	(/ y (sin y))

series129.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(/ x (/ y (sin y)))
38.0ms	(/ y (sin y))

simplify1.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1953
1	422
0	171

prune562.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y)))))
0.3b	(cbrt (/ 1 (/ y (sin y))))
0.3b	(cbrt (/ 1 (/ y (sin y))))
0.3b	(cbrt (/ 1 (/ y (sin y))))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

534×	`times-frac`
373×	`add-sqr-sqrt`
372×	`cbrt-prod`
279×	`*-un-lft-identity`
253×	`add-cube-cbrt`
49×	`swap-sqr`
47×	`associate-r` `associate-l`
36×	`unswap-sqr`
30×	`div-inv`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div` `associate-/r/`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 359

Calls

4 calls:

107.0ms	(* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y)))))
11.0ms	(cbrt (/ 1 (/ y (sin y))))
7.0ms	(cbrt (/ 1 (/ y (sin y))))
9.0ms	(cbrt (/ 1 (/ y (sin y))))

series902.0ms

Counts

4 → 12

Calls

4 calls:

282.0ms	(* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y)))))
167.0ms	(cbrt (/ 1 (/ y (sin y))))
221.0ms	(cbrt (/ 1 (/ y (sin y))))
232.0ms	(cbrt (/ 1 (/ y (sin y))))

simplify1.9s

Counts

371 → 371

Iterations

Iter	Nodes
done	5003
2	3015
1	774
0	427

prune2.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes313.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	963×	body	1280	valid
413.0ms	5171×	body	80	valid
378.0ms	980×	body	640	valid
166.0ms	556×	body	320	valid
50.0ms	330×	body	160	valid