Details

sample87.0ms

Algorithm

intervals

Results

54.0ms

485×

body

valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 5 (507.0ms)

Iter	Nodes	Cost
0	11	19
1	20	19
2	51	17
3	127	17
4	329	13
5	1088	11
6	4916	11
done	5001	11

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite139.0ms

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:

77.0ms	(- (* (* 3 x.re) (* x.im x.re)) (pow x.im 3))
59.0ms	(* (* 3 x.re) (* x.im x.re))

series192.0ms

Counts

2 → 6

Calls

2 calls:

144.0ms	(- (* (* 3 x.re) (* x.im x.re)) (pow x.im 3))
48.0ms	(* (* 3 x.re) (* x.im x.re))

simplify1.3s

Counts

40 → 40

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	68	529
1	188	478
2	1028	420
done	5000	410

prune201.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite240.0ms

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:

103.0ms	(- (* 3 (* x.re (* x.im x.re))) (pow x.im 3))
35.0ms	(* x.re (* x.im x.re))
98.0ms	(* 3 (* x.re (* x.im x.re)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(- (* 3 (* x.re (* x.im x.re))) (pow x.im 3))
37.0ms	(* x.re (* x.im x.re))
42.0ms	(* 3 (* x.re (* x.im x.re)))

simplify1.2s

Counts

60 → 60

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	80	659
1	206	607
2	968	529
done	5000	523

prune297.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite289.0ms

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:

126.0ms	(- (* (* (* 3 x.re) x.im) x.re) (pow x.im 3))
114.0ms	(* (* (* 3 x.re) x.im) x.re)
44.0ms	(* (* 3 x.re) x.im)

series212.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(- (* (* (* 3 x.re) x.im) x.re) (pow x.im 3))
44.0ms	(* (* (* 3 x.re) x.im) x.re)
34.0ms	(* (* 3 x.re) x.im)

simplify2.6s

Counts

60 → 60

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	86	665
1	239	609
2	1908	537
done	5000	531

prune305.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite249.0ms

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:

111.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
100.0ms	(* (* 3 (* x.im x.re)) x.re)
35.0ms	(* 3 (* x.im x.re))

series202.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
64.0ms	(* (* 3 (* x.im x.re)) x.re)
46.0ms	(* 3 (* x.im x.re))

simplify1.7s

Counts

60 → 60

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	83	664
1	227	606
2	1429	532
done	5000	524

prune258.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes175.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11
done	11	11

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.3s

14425×

body

valid