Details

sample34.0ms

Algorithm

intervals

Results

15.0ms

392×

body

valid

simplify51.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	8	15
1	15	15
2	25	13
3	37	9
4	45	9
5	48	9
done	48	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3 (* z z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

24.0ms

(* 3 (* z z))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(* 3 (* z z))

simplify6.5s

Counts

22 → 22

Iterations

Useful iterations: 3 (250.0ms)

Iter	Nodes	Cost
0	34	162
1	80	149
2	200	129
3	463	123
4	692	123
5	1460	123
6	3873	123
done	5001	123

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 3 z) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

18.0ms

(* (* 3 z) z)

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (* 3 z) z)

simplify4.0s

Counts

21 → 21

Iterations

Useful iterations: 4 (833.0ms)

Iter	Nodes	Cost
0	36	157
1	95	144
2	332	122
3	681	116
4	939	115
5	2310	115
done	5001	115

prune43.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3 z) z)
0.3b	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
19.7b	(sqrt (* (* 3 z) z))
19.7b	(sqrt (* (* 3 z) z))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

22.0ms	(* (* 3 z) z)
110.0ms	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
14.0ms	(sqrt (* (* 3 z) z))
13.0ms	(sqrt (* (* 3 z) z))

series202.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* 3 z) z)
84.0ms	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
36.0ms	(sqrt (* (* 3 z) z))
43.0ms	(sqrt (* (* 3 z) z))

simplify2.9s

Counts

120 → 120

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	81	1103
1	172	725
2	595	622
3	2294	537
done	5000	532

prune287.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (pow z 2))
0.3b	(* (sqrt (* (* 3 z) z)) (sqrt (pow (* 3 (pow z 2)) 1)))
19.7b	(sqrt (* (* 3 z) z))
19.7b	(sqrt (pow (* 3 (pow z 2)) 1))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`pow1`
16×	`associate-r`
14×	`sqrt-prod`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
10×	`sqrt-pow1`
8×	`add-cbrt-cube`
7×	`associate-l` `unswap-sqr`
6×	`unpow-prod-down` `sqr-pow`
4×	`pow1/2` `prod-exp` `add-log-exp`
2×	`rem-sqrt-square` `*-commutative` `cbrt-unprod` `unpow2`
1×	`pow-to-exp` `sqrt-unprod` `pow-exp`

Counts

4 → 86

Calls

4 calls:

16.0ms	(* 3 (pow z 2))
97.0ms	(* (sqrt (* (* 3 z) z)) (sqrt (pow (* 3 (pow z 2)) 1)))
17.0ms	(sqrt (* (* 3 z) z))
5.0ms	(sqrt (pow (* 3 (pow z 2)) 1))

series199.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* 3 (pow z 2))
85.0ms	(* (sqrt (* (* 3 z) z)) (sqrt (pow (* 3 (pow z 2)) 1)))
36.0ms	(sqrt (* (* 3 z) z))
37.0ms	(sqrt (pow (* 3 (pow z 2)) 1))

simplify3.0s

Counts

98 → 98

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	110	1135
1	209	779
2	544	666
3	2832	601
done	5000	598

prune343.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes154.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

541.0ms

12209×

body

valid