Details

sample45.0ms

Algorithm

intervals

Results

25.0ms

392×

body

valid

simplify105.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	8	15
1	16	14
2	33	11
3	56	8
4	74	8
5	80	8
done	80	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3 (* z z))

rewrite32.0ms

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×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

31.0ms

(* 3 (* z z))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(* 3 (* z z))

simplify6.4s

Counts

24 → 24

Iterations

Useful iterations: 3 (194.0ms)

Iter	Nodes	Cost
0	36	174
1	82	161
2	206	141
3	447	135
4	643	135
5	1405	135
6	3875	135
done	5001	135

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 3 z) z)

rewrite31.0ms

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×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

31.0ms

(* (* 3 z) z)

series30.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* (* 3 z) z)

simplify4.6s

Counts

23 → 23

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	38	169
1	97	156
2	331	134
3	662	128
4	919	127
5	2253	127
done	5000	127

prune76.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite249.0ms

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×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

37.0ms	(* (* 3 z) z)
164.0ms	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
18.0ms	(sqrt (* (* 3 z) z))
20.0ms	(sqrt (* (* 3 z) z))

series269.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* 3 z) z)
119.0ms	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
52.0ms	(sqrt (* (* 3 z) z))
69.0ms	(sqrt (* (* 3 z) z))

simplify3.1s

Counts

128 → 128

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	87	1171
1	178	777
2	602	674
3	2267	585
done	5000	580

prune290.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
17×	`add-sqr-sqrt`
12×	`associate-r`
11×	`add-exp-log` `pow-prod-down`
10×	`sqrt-pow1`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
7×	`associate-l`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `pow1/2` `prod-exp` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sqrt-unprod` `pow-exp`

Counts

4 → 82

Calls

4 calls:

17.0ms	(* 3 (pow z 2))
108.0ms	(* (sqrt (* (* 3 z) z)) (sqrt (* 3 (pow z 2))))
14.0ms	(sqrt (* (* 3 z) z))
6.0ms	(sqrt (* 3 (pow z 2)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 3 (pow z 2))
86.0ms	(* (sqrt (* (* 3 z) z)) (sqrt (* 3 (pow z 2))))
43.0ms	(sqrt (* (* 3 z) z))
56.0ms	(sqrt (* 3 (pow z 2)))

simplify2.0s

Counts

94 → 94

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	100	913
1	188	669
2	452	597
3	1802	551
done	5001	540

prune458.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes167.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	9	8
done	9	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

12209×

body

valid