Details

sample45.0ms

Algorithm

intervals

Results

30.0ms

490×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 5 (411.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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

rewrite147.0ms

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:

64.0ms	(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
19.0ms	(* (* x.im x.re) x.im)
63.0ms	(* 3 (* (* x.im x.re) x.im))

series109.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
26.0ms	(* (* x.im x.re) x.im)
28.0ms	(* 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

prune171.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite214.0ms

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:

83.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
88.0ms	(* (* 3 (* x.im x.re)) x.im)
40.0ms	(* 3 (* x.im x.re))

series154.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
23.0ms	(* (* 3 (* x.im x.re)) x.im)
35.0ms	(* 3 (* x.im x.re))

simplify5.4s

Counts

60 → 60

Iterations

Useful iterations: 3 (2.7s)

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

prune145.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize16.0ms

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)

rewrite206.0ms

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:

97.0ms	(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
88.0ms	(* (* (* x.im 3) x.re) x.im)
20.0ms	(* (* x.im 3) x.re)

series144.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- (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)

simplify2.3s

Counts

60 → 60

Iterations

Useful iterations: done (2.3s)

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

prune170.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite186.0ms

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:

82.0ms	(- (pow x.re 3) (* (* x.im (* x.re 3)) x.im))
75.0ms	(* (* x.im (* x.re 3)) x.im)
25.0ms	(* x.im (* x.re 3))

series140.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(- (pow x.re 3) (* (* x.im (* x.re 3)) x.im))
29.0ms	(* (* x.im (* x.re 3)) x.im)
35.0ms	(* x.im (* x.re 3))

simplify6.3s

Counts

60 → 60

Iterations

Useful iterations: done (6.3s)

Iter	Nodes	Cost
0	82	672
1	215	612
2	971	530
3	4958	530
done	5000	528

prune161.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes62.0ms

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

sample1.9s

Algorithm

intervals

Results

1.5s

14161×

body

valid