Details

sample69.0ms

Algorithm

intervals

Results

24.0ms	247×	body	80	nan
17.0ms	278×	body	80	valid

simplify151.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	119
8	119
7	117
6	113
5	102
4	86
3	66
2	47
1	21
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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:

9.0ms

(* y (sqrt z))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(* y (sqrt z))

simplify3.3s

Counts

25 → 25

Iterations

Iter	Nodes
done	5001
4	4315
3	1300
2	471
1	156
0	63

prune199.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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)))

rewrite74.0ms

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:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
12.0ms	(* y (sqrt (sqrt z)))
55.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series609.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(sqrt (sqrt z))
189.0ms	(sqrt (sqrt z))
131.0ms	(* y (sqrt (sqrt z)))
75.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify3.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5006
3	4602
2	1214
1	354
0	132

prune629.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize43.0ms

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))

rewrite64.0ms

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:

3.0ms	(sqrt (sqrt z))
29.0ms	(* y (sqrt (sqrt z)))
30.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

series487.0ms

Counts

3 → 9

Calls

3 calls:

224.0ms	(sqrt (sqrt z))
136.0ms	(* y (sqrt (sqrt z)))
127.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify1.7s

Counts

78 → 78

Iterations

Iter	Nodes
done	5007
2	1633
1	449
0	169

prune532.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize56.0ms

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)))

rewrite230.0ms

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))
12.0ms	(* y (sqrt (sqrt z)))
154.0ms	(* (* (* y (sqrt (sqrt z))) (pow z (/ 1/4 2))) (pow z (/ 1/4 2)))
58.0ms	(* (* y (sqrt (sqrt z))) (pow z (/ 1/4 2)))

series656.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(sqrt (sqrt z))
137.0ms	(* y (sqrt (sqrt z)))
148.0ms	(* (* (* 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)))

simplify2.0s

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
2	2251
1	620
0	217

prune631.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes606.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	8233×	body	80	nan
607.0ms	8541×	body	80	valid