Details

analyze126.0ms (7.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
31.2%	50%	18.8%	7
40.6%	37.5%	22%	8
45.3%	26.5%	28.2%	9
46.8%	19.5%	33.7%	10
48.8%	14%	37.2%	11
51.7%	10.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	5.1%	41.6%	14

sample20.0ms (1.2%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	20×	body	80	invalid

simplify141.0ms (8.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	5291	11

prune9.0ms (0.6%)

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: 6.1b

Counts

2 → 2

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

7.0b	(* (* x.im x.im) (* x.re -3))

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l` `-commutative` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

7.0ms

(* (* x.im x.im) (* x.re -3))

series4.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (* x.im x.im) (* x.re -3))

simplify34.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4885	193
1	4885	193

prune56.0ms (3.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	5	27

Merged error: 0.1b

Counts

27 → 5

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

6.0ms	(* x.im (* x.im (* x.re -3)))
4.0ms	(* x.im (* x.re -3))

series9.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

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

simplify42.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5212	305

prune102.0ms (6.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	0	3	3
Picked	0	1	1
Done	1	0	1
Total	40	10	50

Merged error: 0.0b

Counts

50 → 10

localize11.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.7%)

Algorithm

1×	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.im (* (* x.im x.re) -3))
5.0ms	(* (* x.im x.re) -3)

series8.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

4.0ms	(* x.im (* (* x.im x.re) -3))
3.0ms	(* (* x.im x.re) -3)

simplify48.0ms (3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5113	308

prune95.0ms (5.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	45	10	55

Merged error: 0b

Counts

55 → 10

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.9%)

Algorithm

1×	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	(* x.im (* x.im x.re))
6.0ms	(* (* x.im (* x.im x.re)) -3)

series8.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

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

simplify60.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5144	308

prune66.0ms (4.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	45	10	55

Merged error: 0b

Counts

55 → 10

regimes181.0ms (11.2%)

Accuracy

Total 0.2b remaining (91.1%)

Threshold costs 0.2b (91.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	11
1	13	11

end0.0ms (0%)

sample530.0ms (32.8%)

Algorithm

1×

intervals

Results

378.0ms	8000×	body	80	valid
19.0ms	415×	body	80	invalid

Details

analyze126.0ms (7.8%)

sample20.0ms (1.2%)

simplify141.0ms (8.7%)

prune9.0ms (0.6%)

localize8.0ms (0.5%)

rewrite8.0ms (0.5%)

series4.0ms (0.3%)

simplify34.0ms (2.1%)

prune56.0ms (3.4%)

localize7.0ms (0.4%)

rewrite12.0ms (0.7%)

series9.0ms (0.6%)

simplify42.0ms (2.6%)

prune102.0ms (6.3%)

localize11.0ms (0.7%)

rewrite12.0ms (0.7%)

series8.0ms (0.5%)

simplify48.0ms (3%)

prune95.0ms (5.9%)

localize7.0ms (0.5%)

rewrite14.0ms (0.9%)

series8.0ms (0.5%)

simplify60.0ms (3.7%)

prune66.0ms (4.1%)

regimes181.0ms (11.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample530.0ms (32.8%)

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