Details

sample42.0ms

Algorithm

intervals

Results

25.0ms

463×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 5 (367.0ms)

Iter	Nodes	Cost
0	11	19
1	21	19
2	52	17
3	140	17
4	346	14
5	930	11
6	2150	11
done	5000	11

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
0.1b	(* (* x.im x.re) x.im)
0.2b	(* 3 (* (* x.im x.re) x.im))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

63.0ms	(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
33.0ms	(* (* x.im x.re) x.im)
67.0ms	(* 3 (* (* x.im x.re) x.im))

series115.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
25.0ms	(* (* x.im x.re) x.im)
28.0ms	(* 3 (* (* x.im x.re) x.im))

simplify4.1s

Counts

60 → 60

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	83	672
1	221	610
2	839	530
3	3875	530
done	5000	528

prune172.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
0.2b	(* (* 3 (* x.im x.re)) x.im)
0.2b	(* 3 (* x.im x.re))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

83.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
45.0ms	(* (* 3 (* x.im x.re)) x.im)
28.0ms	(* 3 (* x.im x.re))

series132.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
33.0ms	(* (* 3 (* x.im x.re)) x.im)
37.0ms	(* 3 (* x.im x.re))

simplify6.0s

Counts

60 → 60

Iterations

Useful iterations: 3 (3.1s)

Iter	Nodes	Cost
0	83	672
1	222	604
2	915	532
3	4775	528
done	5001	528

prune132.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
0.2b	(* (* (* x.im 3) x.re) x.im)
0.2b	(* (* x.im 3) x.re)

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

75.0ms	(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
90.0ms	(* (* (* x.im 3) x.re) x.im)
19.0ms	(* (* x.im 3) x.re)

series141.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
32.0ms	(* (* (* x.im 3) x.re) x.im)
36.0ms	(* (* x.im 3) x.re)

simplify2.2s

Counts

60 → 60

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	87	673
1	231	607
2	1056	531
done	5001	527

prune146.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (pow x.re 3) (* (* x.im 3) (* x.re x.im)))
0.2b	(* (* x.im 3) (* x.re x.im))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

2 → 34

Calls

2 calls:

47.0ms	(- (pow x.re 3) (* (* x.im 3) (* x.re x.im)))
46.0ms	(* (* x.im 3) (* x.re x.im))

series111.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(- (pow x.re 3) (* (* x.im 3) (* x.re x.im)))
40.0ms	(* (* x.im 3) (* x.re x.im))

simplify3.8s

Counts

40 → 40

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	68	537
1	192	480
2	775	416
3	4219	414
done	5000	412

prune118.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes70.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11
done	11	11

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.7s

14426×

body

valid