Details

sample61.0ms

Algorithm

intervals

Results

39.0ms

492×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 5 (346.0ms)

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

prune9.0ms

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))

rewrite187.0ms

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:

51.0ms	(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
35.0ms	(* (* x.im x.re) x.im)
99.0ms	(* 3 (* (* x.im x.re) x.im))

series141.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
24.0ms	(* (* x.im x.re) x.im)
23.0ms	(* 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

prune212.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize19.0ms

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

rewrite207.0ms

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:

95.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
33.0ms	(* 3 (* x.im x.re))
76.0ms	(* (* 3 (* x.im x.re)) x.im)

series149.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
24.0ms	(* 3 (* x.im x.re))
41.0ms	(* (* 3 (* x.im x.re)) x.im)

simplify5.5s

Counts

60 → 60

Iterations

Useful iterations: 3 (2.9s)

Iter	Nodes	Cost
0	83	672
1	222	604
2	922	532
3	4856	528
done	5000	528

prune174.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 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)
0.2b	(* (* (* x.im 3) x.re) x.im)

rewrite227.0ms

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))
36.0ms	(* (* x.im 3) x.re)
115.0ms	(* (* (* x.im 3) x.re) x.im)

series159.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
35.0ms	(* (* x.im 3) x.re)
24.0ms	(* (* (* x.im 3) x.re) x.im)

simplify2.8s

Counts

60 → 60

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	87	673
1	232	603
2	1067	531
done	5000	527

prune165.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

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))

rewrite89.0ms

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:

37.0ms	(- (pow x.re 3) (* (* x.im 3) (* x.re x.im)))
49.0ms	(* (* x.im 3) (* x.re x.im))

series106.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(- (pow x.re 3) (* (* x.im 3) (* x.re x.im)))
35.0ms	(* (* x.im 3) (* x.re x.im))

simplify4.0s

Counts

40 → 40

Iterations

Useful iterations: done (4.0s)

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

prune78.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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

sample2.1s

Algorithm

intervals

Results

1.5s

14479×

body

valid