Details

sample40.0ms

Algorithm

intervals

Results

24.0ms

459×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 5 (120.0ms)

Iter	Nodes	Cost
0	11	19
1	21	19
2	54	17
3	136	17
4	327	12
5	691	11
6	1706	11
done	5000	11

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.2b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

5.0ms	(* (* x.re x.im) x.im)
7.0ms	(* 3 (* (* x.re x.im) x.im))

series16.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* (* x.re x.im) x.im)
8.0ms	(* 3 (* (* x.re x.im) x.im))

simplify979.0ms

Counts

45 → 45

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	60	406
1	169	387
2	722	309
3	3207	309
done	5000	309

prune74.0ms

Filtered

25 candidates to 45 candidates (-80.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	38	7	45
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	39	8	47

Merged error: 0.0b

Counts

47 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* 3 (* x.re x.im)) x.im)
0.3b	(* 3 (* x.re x.im))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

7.0ms	(* (* 3 (* x.re x.im)) x.im)
6.0ms	(* 3 (* x.re x.im))

series12.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* (* 3 (* x.re x.im)) x.im)
4.0ms	(* 3 (* x.re x.im))

simplify1.2s

Counts

45 → 45

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	63	406
1	174	381
2	778	309
3	4275	309
done	5000	309

prune75.0ms

Filtered

26 candidates to 45 candidates (-73.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	44	9	53

Merged error: 0b

Counts

53 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (* 3 x.re) x.im) x.im)
0.3b	(* (* 3 x.re) x.im)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-l` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

7.0ms	(* (* (* 3 x.re) x.im) x.im)
6.0ms	(* (* 3 x.re) x.im)

series12.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* (* (* 3 x.re) x.im) x.im)
4.0ms	(* (* 3 x.re) x.im)

simplify1.1s

Counts

45 → 45

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	61	407
1	175	380
2	843	308
3	3990	308
done	5001	308

prune62.0ms

Filtered

23 candidates to 45 candidates (-95.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	46	8	54

Merged error: 0b

Counts

54 → 8

localize21.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* x.re x.im) x.im)
0.2b	(* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im)))
0.3b	(* (sqrt 3) (* (* x.re x.im) x.im))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
5×	`associate-r`
3×	`*-commutative` `add-log-exp`

Counts

3 → 69

Calls

3 calls:

6.0ms	(* (* x.re x.im) x.im)
13.0ms	(* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im)))
9.0ms	(* (sqrt 3) (* (* x.re x.im) x.im))

series32.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (* x.re x.im) x.im)
14.0ms	(* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im)))
11.0ms	(* (sqrt 3) (* (* x.re x.im) x.im))

simplify521.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	87	931
1	248	769
2	1118	605
done	5001	605

prune96.0ms

Filtered

42 candidates to 78 candidates (-85.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	78	8	86

Merged error: 0b

Counts

86 → 8

regimes107.0ms

Accuracy

0% (0.2b 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

sample1.2s

Algorithm

intervals

Results

766.0ms

14656×

body

valid

Details

sample40.0ms

simplify1.0s

prune10.0ms

localize8.0ms

rewrite15.0ms

series16.0ms

simplify979.0ms

prune74.0ms

localize8.0ms

rewrite14.0ms

series12.0ms

simplify1.2s

prune75.0ms

localize7.0ms

rewrite14.0ms

series12.0ms

simplify1.1s

prune62.0ms

localize21.0ms

rewrite33.0ms

series32.0ms

simplify521.0ms

prune96.0ms

regimes107.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

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