Details

sample81.0ms

Algorithm

intervals

Results

20.0ms	276×	body	80	valid
18.0ms	264×	body	80	nan

simplify217.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:

17.0ms	(+ x (* y (sqrt z)))
19.0ms	(* y (sqrt z))

series136.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ x (* y (sqrt z)))
73.0ms	(* y (sqrt z))

simplify3.6s

Counts

39 → 39

Iterations

Useful iterations: 3 (1.4s)

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

prune287.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

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)))
76.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series793.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(sqrt (sqrt z))
279.0ms	(sqrt (sqrt z))
152.0ms	(* y (sqrt (sqrt z)))
83.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.7s

Counts

100 → 100

Iterations

Useful iterations: done (1.7s)

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

prune731.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (pow z 1/4))

rewrite124.0ms

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:

13.0ms	(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
5.0ms	(sqrt (sqrt z))
38.0ms	(* y (sqrt (sqrt z)))
63.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

series726.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
290.0ms	(sqrt (sqrt z))
160.0ms	(* y (sqrt (sqrt z)))
168.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify2.8s

Counts

92 → 92

Iterations

Useful iterations: done (2.8s)

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

prune678.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

12.0ms	(pow (/ 1 z) -1/4)
4.0ms	(sqrt (sqrt z))
23.0ms	(* y (sqrt (sqrt z)))
90.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

series940.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(pow (/ 1 z) -1/4)
281.0ms	(sqrt (sqrt z))
154.0ms	(* y (sqrt (sqrt z)))
161.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

simplify2.6s

Counts

129 → 129

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	242	1447
1	711	1234
2	3136	1154
done	5001	1141

prune777.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes756.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s	8464×	body	80	nan
679.0ms	8589×	body	80	valid