Details

sample67.0ms

Algorithm

intervals

Results

45.0ms

484×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 5 (625.0ms)

Iter	Nodes	Cost
0	11	19
1	21	19
2	58	17
3	161	17
4	454	14
5	1801	11
done	5000	11

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (pow x.re 3) (* (* x.im x.im) (* 3 x.re)))
7.5b	(* (* x.im x.im) (* 3 x.re))

rewrite106.0ms

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:

70.0ms	(- (pow x.re 3) (* (* x.im x.im) (* 3 x.re)))
33.0ms	(* (* x.im x.im) (* 3 x.re))

series120.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(- (pow x.re 3) (* (* x.im x.im) (* 3 x.re)))
26.0ms	(* (* x.im x.im) (* 3 x.re))

simplify1.1s

Counts

40 → 40

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	67	537
1	201	480
2	1220	412
done	5000	410

prune115.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

90.0ms	(- (pow x.re 3) (* x.im (* x.im (* 3 x.re))))
85.0ms	(* x.im (* x.im (* 3 x.re)))
28.0ms	(* x.im (* 3 x.re))

series152.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (pow x.re 3) (* x.im (* x.im (* 3 x.re))))
45.0ms	(* x.im (* x.im (* 3 x.re)))
37.0ms	(* x.im (* 3 x.re))

simplify1.1s

Counts

60 → 60

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	79	667
1	215	609
2	1203	535
done	5000	527

prune198.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

63.0ms	(- (pow x.re 3) (* x.im (* 3 (* x.im x.re))))
55.0ms	(* x.im (* 3 (* x.im x.re)))
41.0ms	(* 3 (* x.im x.re))

series132.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (pow x.re 3) (* x.im (* 3 (* x.im x.re))))
45.0ms	(* x.im (* 3 (* x.im x.re)))
21.0ms	(* 3 (* x.im x.re))

simplify1.3s

Counts

60 → 60

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	80	667
1	215	601
2	1118	535
done	5001	529

prune141.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite173.0ms

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:

64.0ms	(- (pow x.re 3) (* x.im (* (* x.im 3) x.re)))
87.0ms	(* x.im (* (* x.im 3) x.re))
19.0ms	(* (* x.im 3) x.re)

series156.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(- (pow x.re 3) (* x.im (* (* x.im 3) x.re)))
23.0ms	(* x.im (* (* x.im 3) x.re))
34.0ms	(* (* x.im 3) x.re)

simplify1.2s

Counts

60 → 60

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	85	672
1	240	614
2	1515	544
done	5001	536

prune178.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.1b 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

sample1.8s

Algorithm

intervals

Results

1.3s

14480×

body

valid