Details

sample54.0ms

Algorithm

intervals

Results

36.0ms

463×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (392.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite152.0ms

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)))
19.0ms	(* (* x.im x.re) x.im)
66.0ms	(* 3 (* (* x.im x.re) x.im))

series162.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
33.0ms	(* (* x.im x.re) x.im)
41.0ms	(* 3 (* (* x.im x.re) x.im))

simplify4.3s

Counts

60 → 60

Iterations

Useful iterations: done (4.3s)

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

prune159.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)
0.3b	(* 3 (* x.im x.re))

rewrite154.0ms

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:

70.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
60.0ms	(* (* 3 (* x.im x.re)) x.im)
23.0ms	(* 3 (* x.im x.re))

series154.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
40.0ms	(* (* 3 (* x.im x.re)) x.im)
31.0ms	(* 3 (* x.im x.re))

simplify6.1s

Counts

60 → 60

Iterations

Useful iterations: 3 (3.2s)

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

prune175.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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)

rewrite182.0ms

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:

89.0ms	(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
72.0ms	(* (* (* x.im 3) x.re) x.im)
18.0ms	(* (* x.im 3) x.re)

series125.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
30.0ms	(* (* (* x.im 3) x.re) x.im)
25.0ms	(* (* 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

prune143.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.im))))
0.2b	(* (* x.im x.re) x.im)
0.3b	(* (sqrt 3) (* (* x.im x.re) x.im))
0.3b	(* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.im)))

rewrite545.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

182.0ms	(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.im))))
31.0ms	(* (* x.im x.re) x.im)
81.0ms	(* (sqrt 3) (* (* x.im x.re) x.im))
245.0ms	(* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.im)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.im))))
20.0ms	(* (* x.im x.re) x.im)
95.0ms	(* (sqrt 3) (* (* x.im x.re) x.im))
131.0ms	(* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.im)))

simplify1.8s

Counts

93 → 93

Iterations

Useful iterations: 2 (329.0ms)

Iter	Nodes	Cost
0	108	1286
1	289	998
2	1152	826
done	5000	826

prune278.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes76.0ms

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

sample2.4s

Algorithm

intervals

Results

1.9s

14468×

body

valid