Details

sample64.0ms

Algorithm

intervals

Results

16.0ms	264×	body	80	valid
16.0ms	272×	body	80	nan

simplify149.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.2b	(* y (sqrt z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

9.0ms	(+ x (* y (sqrt z)))
14.0ms	(* y (sqrt z))

series116.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ x (* y (sqrt z)))
53.0ms	(* y (sqrt z))

simplify1.8s

Counts

39 → 39

Iterations

Iter	Nodes
done	5003
3	1906
2	690
1	227
0	86

prune220.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite64.0ms

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:

3.0ms	(sqrt (sqrt z))
3.0ms	(sqrt (sqrt z))
13.0ms	(* y (sqrt (sqrt z)))
39.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series619.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(sqrt (sqrt z))
212.0ms	(sqrt (sqrt z))
126.0ms	(* y (sqrt (sqrt z)))
55.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify3.0s

Counts

100 → 100

Iterations

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

prune540.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 1 z) -1/4)
0.1b	(sqrt (sqrt z))
0.2b	(* y (pow (/ 1 z) -1/4))
0.3b	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
38×	`add-sqr-sqrt`
29×	`unpow-prod-down`
27×	`*-un-lft-identity`
26×	`associate-r` `add-cube-cbrt`
20×	`times-frac`
19×	`prod-exp` `sqrt-prod`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
5×	`unswap-sqr`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `sqr-pow`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv`
1×	`pow-prod-down` `pow-flip` `inv-pow`

Counts

4 → 119

Calls

4 calls:

6.0ms	(pow (/ 1 z) -1/4)
2.0ms	(sqrt (sqrt z))
20.0ms	(* y (pow (/ 1 z) -1/4))
39.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

series688.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(pow (/ 1 z) -1/4)
197.0ms	(sqrt (sqrt z))
91.0ms	(* y (pow (/ 1 z) -1/4))
131.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

simplify1.5s

Counts

131 → 131

Iterations

Iter	Nodes
done	5003
2	2019
1	645
0	235

prune848.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (sqrt z)))
0.2b	(* y (pow (/ 1 z) -1/4))
0.3b	(* (* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
0.3b	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt (sqrt z))))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-exp-log`
57×	`sqrt-prod`
41×	`associate-r`
40×	`prod-exp`
37×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
20×	`add-cbrt-cube`
16×	`unpow-prod-down`
14×	`pow1`
12×	`pow-exp`
11×	`times-frac`
10×	`cbrt-unprod`
9×	`sqrt-pow1`
6×	`div-exp`
5×	`associate-l` `unswap-sqr`
4×	`pow-prod-down` `add-log-exp`
3×	`pow-to-exp` `rem-sqrt-square` `rec-exp` `pow1/2` `1-exp` `*-commutative`
2×	`sqr-pow`
1×	`div-inv`

Counts

4 → 130

Calls

4 calls:

3.0ms	(sqrt (sqrt (sqrt z)))
21.0ms	(* y (pow (/ 1 z) -1/4))
163.0ms	(* (* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
69.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt (sqrt z))))

series584.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(sqrt (sqrt (sqrt z)))
112.0ms	(* y (pow (/ 1 z) -1/4))
98.0ms	(* (* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
142.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt (sqrt z))))

simplify2.1s

Counts

142 → 142

Iterations

Iter	Nodes
done	5001
2	2194
1	675
0	265

prune841.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes542.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

779.0ms	8553×	body	80	valid
551.0ms	8492×	body	80	nan