Details

sample51.0ms

Algorithm

intervals

Results

31.0ms

442×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 5 (360.0ms)

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

localize19.0ms

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))

rewrite610.0ms

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:

80.0ms	(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
26.0ms	(* (* x.im x.re) x.im)
502.0ms	(* 3 (* (* x.im x.re) x.im))

series164.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
33.0ms	(* (* x.im x.re) x.im)
45.0ms	(* 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

prune141.0ms

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

rewrite153.0ms

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:

66.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
65.0ms	(* (* 3 (* x.im x.re)) x.im)
20.0ms	(* 3 (* x.im x.re))

series129.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
31.0ms	(* (* 3 (* x.im x.re)) x.im)
23.0ms	(* 3 (* x.im x.re))

simplify6.0s

Counts

60 → 60

Iterations

Useful iterations: 3 (3.1s)

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

prune138.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

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)

rewrite171.0ms

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))
69.0ms	(* (* (* x.im 3) x.re) x.im)
31.0ms	(* (* x.im 3) x.re)

series140.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
43.0ms	(* (* (* x.im 3) x.re) x.im)
26.0ms	(* (* 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

prune144.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 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))

rewrite77.0ms

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:

36.0ms	(- (pow x.re 3) (* (* x.im 3) (* x.re x.im)))
38.0ms	(* (* x.im 3) (* x.re x.im))

series97.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(- (pow x.re 3) (* (* x.im 3) (* x.re x.im)))
31.0ms	(* (* x.im 3) (* x.re x.im))

simplify4.1s

Counts

40 → 40

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	68	537
1	192	480
2	775	416
3	4219	414
done	5000	412

prune129.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes55.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.8s

14299×

body

valid