Details

sample35.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
6.0ms	249×	body	80	nan

simplify1.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (+ x y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity` `sqrt-prod`
3×	`add-sqr-sqrt`
2×	`pow1` `sqrt-div` `add-cube-cbrt`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

6.0ms

(sqrt (+ x y))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(sqrt (+ x y))

simplify835.0ms

Counts

19 → 19

Iterations

Iter	Nodes
done	5000
3	1508
2	361
1	115
0	53

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.1b	(sqrt (sqrt (+ x y)))
0.1b	(sqrt (sqrt (+ x y)))
0.5b	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

110×	`sqrt-prod`
56×	`add-sqr-sqrt`
41×	`*-un-lft-identity` `sqrt-pow1`
34×	`sqrt-div`
32×	`pow1`
21×	`pow1/2` `add-cube-cbrt`
18×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow-prod-up` `flip-+` `distribute-lft-out` `unswap-sqr`
6×	`add-cbrt-cube` `add-exp-log`
5×	`rem-sqrt-square` `pow-prod-down` `pow-sqr`
4×	`frac-times` `add-log-exp`
2×	`associate-l/` `associate-r/`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 148

Calls

4 calls:

8.0ms	(sqrt (+ x y))
10.0ms	(sqrt (sqrt (+ x y)))
13.0ms	(sqrt (sqrt (+ x y)))
53.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series506.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt (+ x y))
231.0ms	(sqrt (sqrt (+ x y)))
193.0ms	(sqrt (sqrt (+ x y)))
44.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify1.8s

Counts

160 → 160

Iterations

Iter	Nodes
done	5001
2	1819
1	365
0	162

prune511.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ x y)))
0.3b	(* (sqrt (sqrt (+ x y))) (sqrt (+ x y)))
0.5b	(* (cbrt (* (sqrt (sqrt (+ x y))) (sqrt (+ x y)))) (sqrt (sqrt (+ x y))))
0.6b	(cbrt (* (sqrt (sqrt (+ x y))) (sqrt (+ x y))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

130×	`sqrt-div`
52×	`sqrt-prod`
40×	`flip3-+` `flip-+`
39×	`add-sqr-sqrt`
36×	`frac-times`
32×	`cbrt-div`
23×	`*-un-lft-identity`
20×	`pow1`
18×	`associate-*l/`
17×	`associate-r`
16×	`sqrt-pow1`
15×	`add-cube-cbrt`
14×	`associate-l`
12×	`associate-*r/`
10×	`pow1/2`
9×	`unswap-sqr`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`pow-prod-up`
4×	`cube-unmult` `pow-prod-down` `distribute-lft-out` `add-log-exp`
2×	`cbrt-prod` `rem-sqrt-square` `pow-plus` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`
1×	`pow1/3` `sqrt-unprod`

Counts

4 → 150

Calls

4 calls:

10.0ms	(sqrt (sqrt (+ x y)))
46.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (+ x y)))
44.0ms	(* (cbrt (* (sqrt (sqrt (+ x y))) (sqrt (+ x y)))) (sqrt (sqrt (+ x y))))
19.0ms	(cbrt (* (sqrt (sqrt (+ x y))) (sqrt (+ x y))))

series776.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(sqrt (sqrt (+ x y)))
276.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (+ x y)))
43.0ms	(* (cbrt (* (sqrt (sqrt (+ x y))) (sqrt (+ x y)))) (sqrt (sqrt (+ x y))))
229.0ms	(cbrt (* (sqrt (sqrt (+ x y))) (sqrt (+ x y))))

simplify1.5s

Counts

162 → 162

Iterations

Iter	Nodes
done	5000
2	1953
1	537
0	244

prune886.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x y) (+ x y))
27.8b	(pow (* (+ x y) (+ x y)) (/ 1/2 2))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
17×	`pow1`
15×	`add-sqr-sqrt`
13×	`pow-unpow` `add-cube-cbrt`
9×	`times-frac`
7×	`add-exp-log`
6×	`pow-pow` `flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`frac-times` `add-cbrt-cube` `associate-r` `associate-l`
2×	`pow2` `pow-plus` `pow-prod-down` `associate-l/` `pow-exp` `prod-exp` `associate-r/` `pow-sqr` `pow-prod-up` `add-log-exp`
1×	`distribute-rgt-in` `pow-to-exp` `unpow-prod-down` `distribute-lft-in` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr` `sqr-pow`

Counts

2 → 71

Calls

2 calls:

47.0ms	(* (+ x y) (+ x y))
20.0ms	(pow (* (+ x y) (+ x y)) (/ 1/2 2))

series149.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(* (+ x y) (+ x y))
128.0ms	(pow (* (+ x y) (+ x y)) (/ 1/2 2))

simplify1.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	2560
1	421
0	125

prune287.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes195.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
1	5
0	4

end0.0ms

sample916.0ms

Algorithm

intervals

Results

201.0ms	8000×	body	80	valid
198.0ms	7894×	body	80	nan