Details

sample48.0ms

Algorithm

intervals

Results

28.0ms

439×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 5 (458.0ms)

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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))

rewrite190.0ms

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)))
19.0ms	(* (* x.im x.re) x.im)
98.0ms	(* 3 (* (* x.im x.re) x.im))

series141.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
31.0ms	(* (* x.im x.re) x.im)
42.0ms	(* 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

prune181.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* 3 (pow (* (* x.im x.re) x.im) 1)))
0.1b	(* (* x.im x.re) x.im)
0.2b	(* 3 (pow (* (* x.im x.re) x.im) 1))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
11×	`prod-exp`
10×	`add-cbrt-cube`
9×	`pow1` `add-sqr-sqrt`
8×	`associate-r`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `cbrt-unprod`
3×	`pow-exp`
2×	`*-commutative` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `unpow-prod-down` `flip3--` `diff-log` `flip--`

Counts

3 → 55

Calls

3 calls:

39.0ms	(- (pow x.re 3) (* 3 (pow (* (* x.im x.re) x.im) 1)))
28.0ms	(* (* x.im x.re) x.im)
28.0ms	(* 3 (pow (* (* x.im x.re) x.im) 1))

series131.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- (pow x.re 3) (* 3 (pow (* (* x.im x.re) x.im) 1)))
20.0ms	(* (* x.im x.re) x.im)
36.0ms	(* 3 (pow (* (* x.im x.re) x.im) 1))

simplify1.7s

Counts

64 → 64

Iterations

Useful iterations: 2 (293.0ms)

Iter	Nodes	Cost
0	102	803
1	240	635
2	934	580
done	5001	580

prune264.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))

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:

90.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
63.0ms	(* (* 3 (* x.im x.re)) x.im)
25.0ms	(* 3 (* x.im x.re))

series142.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
39.0ms	(* (* 3 (* x.im x.re)) x.im)
35.0ms	(* 3 (* x.im x.re))

simplify5.5s

Counts

60 → 60

Iterations

Useful iterations: 3 (2.9s)

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

prune144.0ms

Pruning

6 alts after pruning (6 fresh and 0 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))
0.2b	(* (* (* x.im 3) x.re) x.im)
0.2b	(* (* x.im 3) x.re)

rewrite197.0ms

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:

87.0ms	(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
86.0ms	(* (* (* x.im 3) x.re) x.im)
22.0ms	(* (* x.im 3) x.re)

series150.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
26.0ms	(* (* (* x.im 3) x.re) x.im)
23.0ms	(* (* x.im 3) x.re)

simplify2.6s

Counts

60 → 60

Iterations

Useful iterations: done (2.5s)

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

prune167.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes103.0ms

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

sample2.0s

Algorithm

intervals

Results

1.4s

14496×

body

valid