Details

sample68.0ms

Algorithm

intervals

Results

43.0ms

490×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 5 (451.0ms)

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)))
0.2b	(* (* x.im x.re) x.im)
0.2b	(* 3 (* (* x.im x.re) x.im))

rewrite209.0ms

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:

96.0ms	(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
36.0ms	(* (* x.im x.re) x.im)
74.0ms	(* 3 (* (* x.im x.re) x.im))

series144.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
22.0ms	(* (* x.im x.re) x.im)
35.0ms	(* 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

prune221.0ms

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))
0.1b	(* (* 3 (* x.im x.re)) x.im)
0.3b	(* 3 (* x.im x.re))

rewrite181.0ms

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:

60.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
86.0ms	(* (* 3 (* x.im x.re)) x.im)
33.0ms	(* 3 (* x.im x.re))

series131.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
23.0ms	(* (* 3 (* x.im x.re)) x.im)
22.0ms	(* 3 (* x.im x.re))

simplify5.3s

Counts

60 → 60

Iterations

Useful iterations: 3 (2.6s)

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

prune205.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite150.0ms

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:

69.0ms	(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
57.0ms	(* (* (* x.im 3) x.re) x.im)
22.0ms	(* (* x.im 3) x.re)

series160.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
41.0ms	(* (* (* x.im 3) x.re) x.im)
33.0ms	(* (* x.im 3) x.re)

simplify2.1s

Counts

60 → 60

Iterations

Useful iterations: done (2.1s)

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

prune216.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite156.0ms

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:

79.0ms	(- (pow x.re 3) (* (* x.im (* x.re 3)) x.im))
51.0ms	(* (* x.im (* x.re 3)) x.im)
25.0ms	(* x.im (* x.re 3))

series166.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(- (pow x.re 3) (* (* x.im (* x.re 3)) x.im))
39.0ms	(* (* x.im (* x.re 3)) x.im)
24.0ms	(* x.im (* x.re 3))

simplify6.0s

Counts

60 → 60

Iterations

Useful iterations: done (6.0s)

Iter	Nodes	Cost
0	82	672
1	215	612
2	971	530
3	4958	530
done	5000	528

prune152.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes62.0ms

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

1.8s

14161×

body

valid