Details

analyze557.0ms (25.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
25%	74.9%	0.2%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample20.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
2.0ms	68×	body	80	invalid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune7.0ms (0.3%)

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: 0.0b

Counts

2 → 1

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+ (* x.re y.im) (* x.im y.re))

series10.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

10.0ms

(+ (* x.re y.im) (* x.im y.re))

simplify81.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4873	141
1	4873	141

prune25.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0b

Counts

15 → 3

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
1.8b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.8b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.8b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite23.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

10.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
4.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series154.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
37.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
36.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
35.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify60.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4946	1442
1	4946	1442

prune130.0ms (6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))
0.3b	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
1.4b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.4b	(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite24.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

11.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
4.0ms	(+ (* x.re y.im) (* x.im y.re))
4.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

series61.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
19.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
12.0ms	(+ (* x.re y.im) (* x.im y.re))
10.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))

simplify33.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5537	1320

prune121.0ms (5.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Merged error: 0b

Counts

113 → 3

regimes358.0ms (16.5%)

Accuracy

Total 0.0b remaining (25.8%)

Threshold costs 0.0b (25.8%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms (0%)

sample464.0ms (21.5%)

Algorithm

1×

intervals

Results

204.0ms	8000×	body	80	valid
36.0ms	1371×	body	80	invalid

Details

analyze557.0ms (25.7%)

sample20.0ms (0.9%)

simplify3.0ms (0.1%)

prune7.0ms (0.3%)

localize9.0ms (0.4%)

rewrite4.0ms (0.2%)

series10.0ms (0.5%)

simplify81.0ms (3.7%)

prune25.0ms (1.1%)

localize10.0ms (0.4%)

rewrite23.0ms (1.1%)

series154.0ms (7.1%)

simplify60.0ms (2.8%)

prune130.0ms (6%)

localize9.0ms (0.4%)

rewrite24.0ms (1.1%)

series61.0ms (2.8%)

simplify33.0ms (1.5%)

prune121.0ms (5.6%)

regimes358.0ms (16.5%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample464.0ms (21.5%)

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