Details

sample48.0ms

Algorithm

intervals

Results

30.0ms

467×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (539.0ms)

Iter	Nodes	Cost
0	11	19
1	21	19
2	58	17
3	161	17
4	454	14
5	1801	11
done	5000	11

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (pow x.re 3) (* (* x.im x.im) (* 3 x.re)))
9.9b	(* (* x.im x.im) (* 3 x.re))

rewrite81.0ms

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:

47.0ms	(- (pow x.re 3) (* (* x.im x.im) (* 3 x.re)))
33.0ms	(* (* x.im x.im) (* 3 x.re))

series117.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(- (pow x.re 3) (* (* x.im x.im) (* 3 x.re)))
34.0ms	(* (* x.im x.im) (* 3 x.re))

simplify1.2s

Counts

40 → 40

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	67	537
1	201	480
2	1220	412
done	5000	410

prune102.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite156.0ms

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:

60.0ms	(- (pow x.re 3) (* x.im (* x.im (* 3 x.re))))
59.0ms	(* x.im (* x.im (* 3 x.re)))
33.0ms	(* x.im (* 3 x.re))

series125.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(- (pow x.re 3) (* x.im (* x.im (* 3 x.re))))
27.0ms	(* x.im (* x.im (* 3 x.re)))
24.0ms	(* x.im (* 3 x.re))

simplify1.6s

Counts

60 → 60

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	79	667
1	215	609
2	1203	535
done	5000	527

prune197.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* x.im (* 1 (* 3 (* x.im x.re)))))
0.2b	(* x.im (* 1 (* 3 (* x.im x.re))))
0.2b	(* 3 (* x.im x.re))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
22×	`pow1` `prod-exp` `add-cbrt-cube`
13×	`pow-prod-down` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`1-exp`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 57

Calls

3 calls:

152.0ms	(- (pow x.re 3) (* x.im (* 1 (* 3 (* x.im x.re)))))
179.0ms	(* x.im (* 1 (* 3 (* x.im x.re))))
22.0ms	(* 3 (* x.im x.re))

series114.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (pow x.re 3) (* x.im (* 1 (* 3 (* x.im x.re)))))
23.0ms	(* x.im (* 1 (* 3 (* x.im x.re))))
21.0ms	(* 3 (* x.im x.re))

simplify1.4s

Counts

66 → 66

Iterations

Useful iterations: 2 (335.0ms)

Iter	Nodes	Cost
0	103	851
1	303	665
2	1768	581
done	5001	581

prune179.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* x.im (* 1 (* (* 3 x.im) x.re))))
0.2b	(* x.im (* 1 (* (* 3 x.im) x.re)))
0.2b	(* (* 3 x.im) x.re)

rewrite391.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
22×	`pow1` `prod-exp` `add-cbrt-cube`
13×	`pow-prod-down` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`1-exp`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 57

Calls

3 calls:

173.0ms	(- (pow x.re 3) (* x.im (* 1 (* (* 3 x.im) x.re))))
178.0ms	(* x.im (* 1 (* (* 3 x.im) x.re)))
35.0ms	(* (* 3 x.im) x.re)

series134.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (pow x.re 3) (* x.im (* 1 (* (* 3 x.im) x.re))))
32.0ms	(* x.im (* 1 (* (* 3 x.im) x.re)))
24.0ms	(* (* 3 x.im) x.re)

simplify2.0s

Counts

66 → 66

Iterations

Useful iterations: 2 (408.0ms)

Iter	Nodes	Cost
0	106	854
1	319	674
2	2134	582
done	5000	582

prune188.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes129.0ms

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

sample2.0s

Algorithm

intervals

Results

1.5s

14263×

body

valid