Details

analyze133.0ms (8.2%)

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%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

sample19.0ms (1.2%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify64.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4947	11
1	4947	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: 0.1b

Counts

2 → 2

localize10.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.2b	(* x.re (* (* x.re x.im) 3))
0.2b	(* (* x.re x.im) 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.re (* (* x.re x.im) 3))
5.0ms	(* (* x.re x.im) 3)

series7.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

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

simplify35.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5058	308

prune99.0ms (6.1%)

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

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(* x.re (* x.im 3))
0.2b	(* x.re (* x.re (* x.im 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.re (* x.re (* x.im 3)))
4.0ms	(* x.re (* x.im 3))

series8.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

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

simplify41.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5203	305

prune88.0ms (5.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	45	8	53

Merged error: 0.0b

Counts

53 → 8

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(* x.re (* x.re x.im))
0.2b	(* (* x.re (* x.re x.im)) 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.re (* x.re x.im)) 3)
4.0ms	(* x.re (* x.re x.im))

series8.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

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

simplify59.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4956	308
1	4956	308

prune82.0ms (5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	44	9	53

Merged error: 0b

Counts

53 → 9

localize10.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.1b	(* x.re (* x.re x.im))
0.2b	(* (* x.re (* x.re x.im)) (* (cbrt 3) (cbrt 3)))
0.3b	(* (* (* x.re (* x.re x.im)) (* (cbrt 3) (cbrt 3))) (cbrt 3))

rewrite34.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 82

Calls

3 calls:

16.0ms	(* (* (* x.re (* x.re x.im)) (* (cbrt 3) (cbrt 3))) (cbrt 3))
10.0ms	(* (* x.re (* x.re x.im)) (* (cbrt 3) (cbrt 3)))
4.0ms	(* x.re (* x.re x.im))

series22.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

10.0ms	(* (* x.re (* x.re x.im)) (* (cbrt 3) (cbrt 3)))
8.0ms	(* (* (* x.re (* x.re x.im)) (* (cbrt 3) (cbrt 3))) (cbrt 3))
3.0ms	(* x.re (* x.re x.im))

simplify50.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4951	763
1	4951	763

prune175.0ms (10.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	2	3	5
Picked	1	0	1
Done	2	1	3
Total	94	6	100

Merged error: 0b

Counts

100 → 6

regimes98.0ms (6%)

Accuracy

Total 0.1b remaining (85.9%)

Threshold costs 0.1b (85.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms (0%)

sample525.0ms (32.3%)

Algorithm

1×

intervals

Results

366.0ms	8000×	body	80	valid
25.0ms	569×	body	80	invalid

Details

analyze133.0ms (8.2%)

sample19.0ms (1.2%)

simplify64.0ms (3.9%)

prune9.0ms (0.6%)

localize10.0ms (0.6%)

rewrite12.0ms (0.7%)

series7.0ms (0.5%)

simplify35.0ms (2.1%)

prune99.0ms (6.1%)

localize7.0ms (0.4%)

rewrite12.0ms (0.7%)

series8.0ms (0.5%)

simplify41.0ms (2.5%)

prune88.0ms (5.4%)

localize7.0ms (0.4%)

rewrite12.0ms (0.7%)

series8.0ms (0.5%)

simplify59.0ms (3.7%)

prune82.0ms (5%)

localize10.0ms (0.6%)

rewrite34.0ms (2.1%)

series22.0ms (1.3%)

simplify50.0ms (3.1%)

prune175.0ms (10.8%)

regimes98.0ms (6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample525.0ms (32.3%)

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