Details

analyze60.0ms (5.7%)

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%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample12.0ms (1.1%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune4.0ms (0.4%)

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

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.4%)

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 x) (* y y))

series5.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ (* x x) (* y y))

simplify24.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5532	131

prune22.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize7.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
5.8b	(sqrt (+ (* x x) (* y y)))
5.8b	(sqrt (+ (* x x) (* y y)))

rewrite24.0ms (2.3%)

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 x) (* y y))) (sqrt (+ (* x x) (* y y))))
4.0ms	(+ (* x x) (* y y))
4.0ms	(sqrt (+ (* x x) (* y y)))
3.0ms	(sqrt (+ (* x x) (* y y)))

series22.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (+ (* x x) (* y y)))
5.0ms	(sqrt (+ (* x x) (* y y)))
5.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
5.0ms	(+ (* x x) (* y y))

simplify80.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4959	1086
1	4959	1086

prune141.0ms (13.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Merged error: 0b

Counts

112 → 2

regimes351.0ms (33.4%)

Accuracy

Total 0.0b remaining (34.6%)

Threshold costs 0.0b (34.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample289.0ms (27.4%)

Algorithm

1×

intervals

Results

174.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze60.0ms (5.7%)

sample12.0ms (1.1%)

simplify3.0ms (0.2%)

prune4.0ms (0.4%)

localize4.0ms (0.4%)

rewrite4.0ms (0.4%)

series5.0ms (0.5%)

simplify24.0ms (2.3%)

prune22.0ms (2.1%)

localize7.0ms (0.6%)

rewrite24.0ms (2.3%)

series22.0ms (2.1%)

simplify80.0ms (7.6%)

prune141.0ms (13.4%)

regimes351.0ms (33.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample289.0ms (27.4%)

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