Details

analyze35.0ms (3.2%)

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
25%	74.9%	0.1%	3
25%	62.4%	12.6%	4
37.5%	43.7%	18.8%	5
37.5%	34.3%	28.2%	6
43.7%	23.4%	32.9%	7
43.7%	18%	38.3%	8
46.8%	12.1%	41.1%	9
46.8%	9.2%	44%	10
48.4%	6.1%	45.5%	11
48.4%	4.6%	47%	12
49.2%	3.1%	47.7%	13
49.2%	2.3%	48.5%	14

sample16.0ms (1.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	8×	body	80	nan

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

prune5.0ms (0.5%)

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 (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(sqrt (+ x y))

rewrite3.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity` `sqrt-prod`
3×	`add-sqr-sqrt`
2×	`pow1` `add-cube-cbrt` `sqrt-div`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

3.0ms

(sqrt (+ x y))

series6.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(sqrt (+ x y))

simplify24.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5079	150

prune29.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	3	20

Merged error: 0.0b

Counts

20 → 3

localize8.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
0.6b	(cbrt (sqrt (+ x y)))
0.6b	(cbrt (sqrt (+ x y)))
0.6b	(cbrt (sqrt (+ x y)))

rewrite29.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`cbrt-prod`
44×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
40×	`sqrt-prod`
22×	`add-cube-cbrt`
18×	`cbrt-div` `sqrt-div`
14×	`swap-sqr`
11×	`pow1`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out` `unswap-sqr`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 120

Calls

4 calls:

12.0ms	(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
5.0ms	(cbrt (sqrt (+ x y)))
4.0ms	(cbrt (sqrt (+ x y)))
4.0ms	(cbrt (sqrt (+ x y)))

series90.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
24.0ms	(cbrt (sqrt (+ x y)))
21.0ms	(cbrt (sqrt (+ x y)))
21.0ms	(cbrt (sqrt (+ x y)))

simplify52.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4902	1452
1	4902	1452

prune145.0ms (13.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	132	3	135

Merged error: 0.0b

Counts

135 → 3

localize7.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ x y))
0.5b	(pow (sqrt (+ x y)) 3)
16.7b	(cbrt (pow (sqrt (+ x y)) 3))

rewrite15.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity`
20×	`cbrt-prod` `sqrt-prod`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
6×	`pow1` `sqrt-div`
5×	`distribute-lft-out`
4×	`add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `pow-pow` `flip3-+` `flip-+` `add-log-exp`
2×	`cube-mult` `cbrt-div` `sqrt-pow1` `pow1/2` `unpow3` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 83

Calls

3 calls:

5.0ms	(cbrt (pow (sqrt (+ x y)) 3))
5.0ms	(pow (sqrt (+ x y)) 3)
3.0ms	(sqrt (+ x y))

series27.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(pow (sqrt (+ x y)) 3)
6.0ms	(cbrt (pow (sqrt (+ x y)) 3))
6.0ms	(sqrt (+ x y))

simplify38.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5915	773

prune118.0ms (10.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	92	3	95

Merged error: 0.0b

Counts

95 → 3

regimes151.0ms (13.8%)

Accuracy

Total 0.0b remaining (28.6%)

Threshold costs 0.0b (28.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

end0.0ms (0%)

sample290.0ms (26.5%)

Algorithm

1×

intervals

Results

160.0ms	8000×	body	80	valid
5.0ms	269×	body	80	nan

Details

analyze35.0ms (3.2%)

sample16.0ms (1.4%)

simplify3.0ms (0.3%)

prune5.0ms (0.5%)

localize4.0ms (0.3%)

rewrite3.0ms (0.3%)

series6.0ms (0.5%)

simplify24.0ms (2.2%)

prune29.0ms (2.7%)

localize8.0ms (0.7%)

rewrite29.0ms (2.6%)

series90.0ms (8.2%)

simplify52.0ms (4.8%)

prune145.0ms (13.2%)

localize7.0ms (0.6%)

rewrite15.0ms (1.4%)

series27.0ms (2.5%)

simplify38.0ms (3.5%)

prune118.0ms (10.8%)

regimes151.0ms (13.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample290.0ms (26.5%)

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