Details

sample41.0ms

Algorithm

intervals

Results

24.0ms

459×

body

valid

simplify999.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (113.0ms)

Iter	Nodes	Cost
0	11	19
1	21	19
2	54	17
3	136	17
4	328	12
5	697	11
6	1677	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

localize14.0ms

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))

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:

6.0ms	(* (* 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))

simplify1.3s

Counts

45 → 45

Iterations

Useful iterations: 3 (488.0ms)

Iter	Nodes	Cost
0	60	406
1	169	393
2	754	323
3	3272	309
done	5000	309

prune80.0ms

Filtered

27 candidates to 45 candidates (-66.7%)

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

rewrite17.0ms

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:

10.0ms	(* (* x.im (* 3 x.re)) x.im)
5.0ms	(* x.im (* 3 x.re))

series9.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (* x.im (* 3 x.re)) x.im)
4.0ms	(* x.im (* 3 x.re))

simplify1.8s

Counts

45 → 45

Iterations

Useful iterations: 3 (811.0ms)

Iter	Nodes	Cost
0	61	406
1	163	386
2	754	326
3	3784	309
done	5000	309

prune68.0ms

Filtered

24 candidates to 45 candidates (-87.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	44	9	53

Merged error: 0b

Counts

53 → 9

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)
5.0ms	(* 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))

simplify1.7s

Counts

45 → 45

Iterations

Useful iterations: 3 (817.0ms)

Iter	Nodes	Cost
0	63	406
1	174	386
2	789	318
3	3689	309
done	5000	309

prune70.0ms

Filtered

25 candidates to 45 candidates (-80.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	45	9	54

Merged error: 0b

Counts

54 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

6.0ms	(* (* x.re x.im) x.im)
18.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.re x.im) x.im)))
9.0ms	(* (cbrt 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	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.re x.im) x.im)))
11.0ms	(* (cbrt 3) (* (* x.re x.im) x.im))

simplify621.0ms

Counts

85 → 85

Iterations

Useful iterations: done (619.0ms)

Iter	Nodes	Cost
0	96	1143
1	285	1114
2	1321	782
done	5000	756

prune114.0ms

Filtered

42 candidates to 85 candidates (-102.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	4	5
Picked	1	0	1
Done	0	3	3
Total	86	8	94

Merged error: 0b

Counts

94 → 8

regimes116.0ms

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

795.0ms

14656×

body

valid

Details

sample41.0ms

simplify999.0ms

prune10.0ms

localize14.0ms

rewrite14.0ms

series16.0ms

simplify1.3s

prune80.0ms

localize8.0ms

rewrite17.0ms

series9.0ms

simplify1.8s

prune68.0ms

localize8.0ms

rewrite14.0ms

series12.0ms

simplify1.7s

prune70.0ms

localize11.0ms

rewrite36.0ms

series32.0ms

simplify621.0ms

prune114.0ms

regimes116.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling