Details

sample68.0ms

Algorithm

intervals

Results

16.0ms	37×	body	640	valid
13.0ms	28×	body	1280	valid
12.0ms	157×	body	80	valid
6.0ms	25×	body	320	valid
2.0ms	9×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:

22.0ms	(* x (/ (sin y) y))
14.0ms	(/ (sin y) y)

series136.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* x (/ (sin y) y))
55.0ms	(/ (sin y) y)

simplify538.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	996
1	232
0	98

prune316.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite64.0ms

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:

40.0ms	(* x (/ 1 (/ y (sin y))))
4.0ms	(/ y (sin y))
9.0ms	(/ 1 (/ y (sin y)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* x (/ 1 (/ y (sin y))))
53.0ms	(/ y (sin y))
36.0ms	(/ 1 (/ y (sin y)))

simplify1.3s

Counts

185 → 185

Iterations

Iter	Nodes
done	5000
2	3259
1	657
0	238

prune847.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
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 → 144

Calls

4 calls:

54.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
4.0ms	(cbrt (/ y (sin y)))
4.0ms	(cbrt (/ y (sin y)))
5.0ms	(cbrt (/ y (sin y)))

series846.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
176.0ms	(cbrt (/ y (sin y)))
203.0ms	(cbrt (/ y (sin y)))
223.0ms	(cbrt (/ y (sin y)))

simplify1.0s

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
2	1330
1	316
0	169

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
3.4b	(* (* (cbrt (sin y)) (* (cbrt (sin y)) x)) (/ (sqrt 1) (/ y (cbrt (sin y)))))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

240×	`times-frac`
137×	`associate-r`
130×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
66×	`sqrt-prod`
63×	`cbrt-prod`
40×	`add-exp-log`
28×	`add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
13×	`pow1`
9×	`cbrt-undiv` `div-exp`
7×	`div-inv`
6×	`pow-prod-down`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `associate-r/` `associate-/r/` `-commutative`

Counts

4 → 201

Calls

4 calls:

2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
133.0ms	(* (* (cbrt (sin y)) (* (cbrt (sin y)) x)) (/ (sqrt 1) (/ y (cbrt (sin y)))))

series529.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (sin y))
153.0ms	(cbrt (sin y))
171.0ms	(cbrt (sin y))
72.0ms	(* (* (cbrt (sin y)) (* (cbrt (sin y)) x)) (/ (sqrt 1) (/ y (cbrt (sin y)))))

simplify967.0ms

Counts

213 → 213

Iterations

Iter	Nodes
done	5000
1	1386
0	359

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes323.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample2.0s

Algorithm

intervals

Results

695.0ms	5171×	body	80	valid
531.0ms	963×	body	1280	valid
289.0ms	980×	body	640	valid
102.0ms	556×	body	320	valid
84.0ms	330×	body	160	valid