Details

analyze142.0ms (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

sample20.0ms (1.2%)

Algorithm

1×

intervals

Results

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

simplify55.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4947	11
1	4947	11

prune10.0ms (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

localize7.0ms (0.4%)

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`
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))

series7.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

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

simplify41.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5203	305

prune100.0ms (5.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	0	1	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:

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

series10.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(* x.re (* (* x.re x.im) 3))
3.0ms	(* (* x.re x.im) 3)

simplify35.0ms (2%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5058	308

prune92.0ms (5.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	46	7	53

Merged error: 0.0b

Counts

53 → 7

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

simplify57.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4956	308
1	4956	308

prune90.0ms (5.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	44	8	52

Merged error: 0b

Counts

52 → 8

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite46.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`pow1` `add-exp-log`
36×	`add-cbrt-cube`
34×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-l`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
4×	`*-commutative` `add-log-exp`
3×	`cbrt-prod`
1×	`unswap-sqr`

Counts

4 → 94

Calls

4 calls:

13.0ms	(* x.re (* (* x.re (* x.im (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
11.0ms	(* (* x.re (* x.im (* (cbrt 3) (cbrt 3)))) (cbrt 3))
9.0ms	(* x.im (* (cbrt 3) (cbrt 3)))
9.0ms	(* x.re (* x.im (* (cbrt 3) (cbrt 3))))

series33.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(* x.re (* x.im (* (cbrt 3) (cbrt 3))))
8.0ms	(* x.re (* (* x.re (* x.im (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
8.0ms	(* (* x.re (* x.im (* (cbrt 3) (cbrt 3)))) (cbrt 3))
8.0ms	(* x.im (* (cbrt 3) (cbrt 3)))

simplify52.0ms (3%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4985	787
1	4985	787

prune212.0ms (12.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	106	8	114

Merged error: 0b

Counts

114 → 8

regimes115.0ms (6.6%)

Accuracy

Total 0.2b remaining (92.8%)

Threshold costs 0.2b (92.8%)

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%)

sample542.0ms (31.3%)

Algorithm

1×

intervals

Results

379.0ms	8000×	body	80	valid
27.0ms	587×	body	80	invalid

Details

analyze142.0ms (8.2%)

sample20.0ms (1.2%)

simplify55.0ms (3.2%)

prune10.0ms (0.6%)

localize7.0ms (0.4%)

rewrite12.0ms (0.7%)

series7.0ms (0.4%)

simplify41.0ms (2.4%)

prune100.0ms (5.8%)

localize7.0ms (0.4%)

rewrite12.0ms (0.7%)

series10.0ms (0.5%)

simplify35.0ms (2%)

prune92.0ms (5.3%)

localize8.0ms (0.4%)

rewrite12.0ms (0.7%)

series8.0ms (0.5%)

simplify57.0ms (3.3%)

prune90.0ms (5.2%)

localize11.0ms (0.6%)

rewrite46.0ms (2.6%)

series33.0ms (1.9%)

simplify52.0ms (3%)

prune212.0ms (12.2%)

regimes115.0ms (6.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample542.0ms (31.3%)

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