Details

sample67.0ms

Algorithm

intervals

Results

41.0ms

463×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (357.0ms)

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: 0.2b

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

rewrite204.0ms

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:

65.0ms	(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
36.0ms	(* (* x.im x.re) x.im)
100.0ms	(* 3 (* (* x.im x.re) x.im))

series182.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
40.0ms	(* (* x.im x.re) x.im)
42.0ms	(* 3 (* (* x.im x.re) x.im))

simplify4.6s

Counts

60 → 60

Iterations

Useful iterations: done (4.6s)

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

prune166.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite133.0ms

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))
46.0ms	(* (* 3 (* x.im x.re)) x.im)
25.0ms	(* 3 (* x.im x.re))

series134.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
26.0ms	(* (* 3 (* x.im x.re)) x.im)
32.0ms	(* 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

prune163.0ms

Pruning

7 alts after pruning (6 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.re) x.im))
0.2b	(* (* (* x.im 3) x.re) x.im)
0.2b	(* (* x.im 3) x.re)

rewrite194.0ms

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:

74.0ms	(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
100.0ms	(* (* (* x.im 3) x.re) x.im)
18.0ms	(* (* x.im 3) x.re)

series164.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
37.0ms	(* (* (* x.im 3) x.re) x.im)
34.0ms	(* (* 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

prune165.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite496.0ms

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:

193.0ms	(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.im))))
18.0ms	(* (* x.im x.re) x.im)
75.0ms	(* (sqrt 3) (* (* x.im x.re) x.im))
206.0ms	(* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.im)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.im))))
29.0ms	(* (* x.im x.re) x.im)
69.0ms	(* (sqrt 3) (* (* x.im x.re) x.im))
87.0ms	(* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.im)))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: 2 (304.0ms)

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

prune243.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

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

14468×

body

valid