Details

sample47.0ms

Algorithm

intervals

Results

13.0ms	278×	body	80	valid
11.0ms	247×	body	80	nan

simplify147.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	146
7	146
6	134
5	121
4	104
3	71
2	47
1	21
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (sqrt z))

rewrite10.0ms

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:

10.0ms

(* y (sqrt z))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(* y (sqrt z))

simplify2.2s

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
3	2950
2	526
1	157
0	63

prune168.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.4b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite68.0ms

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 z))
4.0ms	(sqrt (sqrt z))
26.0ms	(* y (sqrt (sqrt z)))
30.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series616.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(sqrt (sqrt z))
197.0ms	(sqrt (sqrt z))
146.0ms	(* y (sqrt (sqrt z)))
92.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1684
1	354
0	132

prune632.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.4b	(* (* y (sqrt (sqrt z))) (pow z 1/4))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-prod`
19×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `prod-exp`
7×	`pow1`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`unpow-prod-down` `add-log-exp` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative`
1×	`pow-prod-down` `sqr-pow`

Counts

3 → 69

Calls

3 calls:

4.0ms	(sqrt (sqrt z))
21.0ms	(* y (sqrt (sqrt z)))
52.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

series527.0ms

Counts

3 → 9

Calls

3 calls:

265.0ms	(sqrt (sqrt z))
117.0ms	(* y (sqrt (sqrt z)))
144.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify1.8s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	2346
1	459
0	169

prune504.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* (* y (sqrt (sqrt z))) (pow z (/ 1/4 2))) (pow z (/ 1/4 2)))
0.4b	(* (* y (sqrt (sqrt z))) (pow z (/ 1/4 2)))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
58×	`prod-exp`
23×	`associate-r`
22×	`add-sqr-sqrt` `sqrt-prod`
20×	`add-cbrt-cube`
15×	`pow-to-exp` `pow-exp`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`cbrt-unprod`
8×	`pow1`
6×	`unpow-prod-down`
5×	`associate-l`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `sqr-pow`
1×	`pow-prod-down`

Counts

4 → 109

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
11.0ms	(* y (sqrt (sqrt z)))
126.0ms	(* (* (* y (sqrt (sqrt z))) (pow z (/ 1/4 2))) (pow z (/ 1/4 2)))
49.0ms	(* (* y (sqrt (sqrt z))) (pow z (/ 1/4 2)))

series610.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(sqrt (sqrt z))
116.0ms	(* y (sqrt (sqrt z)))
112.0ms	(* (* (* y (sqrt (sqrt z))) (pow z (/ 1/4 2))) (pow z (/ 1/4 2)))
137.0ms	(* (* y (sqrt (sqrt z))) (pow z (/ 1/4 2)))

simplify2.6s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	3638
1	630
0	217

prune590.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes503.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample2.0s

Algorithm

intervals

Results

983.0ms	8233×	body	80	nan
519.0ms	8541×	body	80	valid