Details

sample62.0ms

Algorithm

intervals

Results

21.0ms	279×	body	80	valid
12.0ms	270×	body	80	nan

simplify201.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	47	10
3	71	10
4	103	10
5	122	10
6	136	10
7	148	10
done	148	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.3b	(* y (sqrt z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 33

Calls

2 calls:

10.0ms	(+ x (* y (sqrt z)))
16.0ms	(* y (sqrt z))

series105.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ x (* y (sqrt z)))
52.0ms	(* y (sqrt z))

simplify2.6s

Counts

39 → 39

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	86	362
1	228	323
2	760	297
3	3921	288
done	5001	288

prune143.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.4b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
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))
27.0ms	(* y (sqrt (sqrt z)))
55.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series632.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(sqrt (sqrt z))
207.0ms	(sqrt (sqrt z))
134.0ms	(* y (sqrt (sqrt z)))
59.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.2s

Counts

100 → 100

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	132	915
1	355	716
2	1743	661
done	5001	640

prune385.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.4b	(* (* y (sqrt (sqrt z))) (pow z 1/4))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-prod`
20×	`add-sqr-sqrt`
19×	`add-exp-log`
16×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1`
6×	`add-log-exp`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`unpow-prod-down` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `flip-+` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

7.0ms	(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
2.0ms	(sqrt (sqrt z))
26.0ms	(* y (sqrt (sqrt z)))
48.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

series583.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
234.0ms	(sqrt (sqrt z))
117.0ms	(* y (sqrt (sqrt z)))
129.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify2.0s

Counts

92 → 92

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	193	1106
1	534	977
2	2671	904
done	5000	886

prune367.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.3b	(* (pow z 1/8) (* y (sqrt (sqrt z))))
0.4b	(* (* (pow z 1/8) (* y (sqrt (sqrt z)))) (pow z (/ 1/4 2)))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
58×	`prod-exp`
22×	`add-sqr-sqrt` `sqrt-prod`
20×	`add-cbrt-cube`
17×	`associate-r`
15×	`pow-to-exp` `pow-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`associate-l`
10×	`cbrt-unprod`
8×	`pow1`
6×	`unpow-prod-down`
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))
14.0ms	(* y (sqrt (sqrt z)))
51.0ms	(* (pow z 1/8) (* y (sqrt (sqrt z))))
169.0ms	(* (* (pow z 1/8) (* y (sqrt (sqrt z)))) (pow z (/ 1/4 2)))

series726.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(sqrt (sqrt z))
110.0ms	(* y (sqrt (sqrt z)))
240.0ms	(* (pow z 1/8) (* y (sqrt (sqrt z))))
186.0ms	(* (* (pow z 1/8) (* y (sqrt (sqrt z)))) (pow z (/ 1/4 2)))

simplify1.9s

Counts

121 → 121

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	227	1741
1	646	1446
2	3293	1231
done	5001	1201

prune401.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes364.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	13	10
done	13	10

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	8543×	body	80	valid
537.0ms	8529×	body	80	nan
0.0ms	1×	body	160	valid