Details

sample38.0ms

Algorithm

intervals

Results

8.0ms	285×	body	80	nan
8.0ms	267×	body	80	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1334
6	407
5	134
4	62
3	40
2	23
1	13
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

0.3b	(* y (sqrt x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

11.0ms

(* y (sqrt x))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* y (sqrt x))

simplify2.3s

Counts

25 → 25

Iterations

Iter	Nodes
done	5001
3	3316
2	535
1	157
0	63

prune144.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

4.0ms	(sqrt (sqrt x))
2.0ms	(sqrt (sqrt x))
16.0ms	(* y (sqrt (sqrt x)))
38.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series582.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(sqrt (sqrt x))
204.0ms	(sqrt (sqrt x))
115.0ms	(* y (sqrt (sqrt x)))
64.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1698
1	354
0	132

prune518.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (sqrt (fabs (cbrt x))) y) (sqrt (sqrt (cbrt x)))) (sqrt (sqrt x)))
0.4b	(* (* (sqrt (fabs (cbrt x))) y) (sqrt (sqrt (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-prod`
21×	`associate-r`
18×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 76

Calls

4 calls:

120.0ms	(* (* (* (sqrt (fabs (cbrt x))) y) (sqrt (sqrt (cbrt x)))) (sqrt (sqrt x)))
27.0ms	(* (* (sqrt (fabs (cbrt x))) y) (sqrt (sqrt (cbrt x))))
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

376.0ms	(* (* (* (sqrt (fabs (cbrt x))) y) (sqrt (sqrt (cbrt x)))) (sqrt (sqrt x)))
282.0ms	(* (* (sqrt (fabs (cbrt x))) y) (sqrt (sqrt (cbrt x))))
251.0ms	(cbrt x)
250.0ms	(cbrt x)

simplify2.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	2142
1	428
0	164

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt (cbrt x))) (sqrt (sqrt x)))
0.3b	(* (* (sqrt (fabs (cbrt x))) y) (* (sqrt (sqrt (cbrt x))) (sqrt (sqrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

51×	`sqrt-prod`
37×	`add-sqr-sqrt`
23×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
15×	`sqrt-pow1`
13×	`-un-lft-identity` `associate-l*` `pow-prod-down` `add-cube-cbrt`
12×	`cbrt-prod` `unswap-sqr`
10×	`associate-r`
9×	`prod-exp` `cbrt-unprod`
5×	`pow1/2`
4×	`pow1/3` `add-log-exp`
2×	`*-commutative` `pow-prod-up`
1×	`sqrt-unprod`

Counts

4 → 95

Calls

4 calls:

36.0ms	(* (sqrt (sqrt (cbrt x))) (sqrt (sqrt x)))
60.0ms	(* (* (sqrt (fabs (cbrt x))) y) (* (sqrt (sqrt (cbrt x))) (sqrt (sqrt x))))
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

265.0ms	(* (sqrt (sqrt (cbrt x))) (sqrt (sqrt x)))
383.0ms	(* (* (sqrt (fabs (cbrt x))) y) (* (sqrt (sqrt (cbrt x))) (sqrt (sqrt x))))
255.0ms	(cbrt x)
274.0ms	(cbrt x)

simplify2.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1885
1	434
0	177

prune634.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes272.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

414.0ms	8543×	body	80	valid
395.0ms	8676×	body	80	nan
0.0ms	1×	body	320	valid
0.0ms	1×	body	1280	valid