Details

analyze300.0ms (22.8%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

sample17.0ms (1.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	27×	body	80	invalid

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	51	7
1	51	7

prune5.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (+ z x)))
0.0b	(* y (+ z x))

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

6.0ms	(* y (+ z x))
3.0ms	(+ x (* y (+ z x)))

series13.0ms (1%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))

simplify60.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4950	318
1	4950	318

prune52.0ms (4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	2	43

Merged error: 0b

Counts

43 → 2

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+ x (+ (* y z) (* y x)))
0.0b	(+ (* y z) (* y x))

rewrite9.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`associate-+r+`

Counts

2 → 26

Calls

2 calls:

5.0ms	(+ x (+ (* y z) (* y x)))
4.0ms	(+ (* y z) (* y x))

series13.0ms (1%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (+ (* y z) (* y x)))
7.0ms	(+ (* y z) (* y x))

simplify51.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5072	279

prune38.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Merged error: 0b

Counts

34 → 2

localize8.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(* y (+ z x))
0.2b	(* (sqrt (* y (+ z x))) (sqrt (* y (+ z x))))
3.7b	(sqrt (* y (+ z x)))
3.7b	(sqrt (* y (+ z x)))

rewrite30.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

12.0ms	(* (sqrt (* y (+ z x))) (sqrt (* y (+ z x))))
6.0ms	(* y (+ z x))
5.0ms	(sqrt (* y (+ z x)))
4.0ms	(sqrt (* y (+ z x)))

series43.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (* y (+ z x)))
14.0ms	(sqrt (* y (+ z x)))
6.0ms	(* (sqrt (* y (+ z x))) (sqrt (* y (+ z x))))
6.0ms	(* y (+ z x))

simplify43.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4963	888
1	4963	888

prune128.0ms (9.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	118	2	120

Merged error: 0b

Counts

120 → 2

regimes116.0ms (8.8%)

Accuracy

Total 0.0b remaining (23.3%)

Threshold costs 0.0b (23.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms (0%)

sample362.0ms (27.5%)

Algorithm

1×

intervals

Results

177.0ms	8000×	body	80	valid
14.0ms	570×	body	80	invalid

Details

analyze300.0ms (22.8%)

sample17.0ms (1.3%)

simplify4.0ms (0.3%)

prune5.0ms (0.4%)

localize5.0ms (0.4%)

rewrite10.0ms (0.7%)

series13.0ms (1%)

simplify60.0ms (4.6%)

prune52.0ms (4%)

localize6.0ms (0.5%)

rewrite9.0ms (0.7%)

series13.0ms (1%)

simplify51.0ms (3.8%)

prune38.0ms (2.9%)

localize8.0ms (0.6%)

rewrite30.0ms (2.3%)

series43.0ms (3.2%)

simplify43.0ms (3.3%)

prune128.0ms (9.8%)

regimes116.0ms (8.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample362.0ms (27.5%)

Profiling