Details

analyze52.0ms (4.4%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
56.2%	43.7%	0.1%	6
65.6%	34.3%	0.1%	7
76.5%	23.4%	0.1%	8
82%	18%	0.1%	9
87.8%	12.1%	0.1%	10
90.7%	9.2%	0.1%	11
93.8%	6.1%	0.1%	12
95.3%	4.6%	0.1%	13
96.8%	3.1%	0.1%	14

sample10.0ms (0.9%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

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

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite7.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

6.0ms

(+ (+ x y) x)

series4.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(+ (+ x y) x)

simplify71.0ms (6%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5128	116

prune22.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0.0b

Counts

19 → 2

localize6.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x (+ x y)))
0.0b	(+ x (+ x y))
0.0b	(+ x (+ x y))
0.3b	(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))

rewrite36.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

15.0ms	(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))
6.0ms	(+ x (+ x y))
5.0ms	(+ x (+ x y))
5.0ms	(sqrt (+ x (+ x y)))

series24.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))
7.0ms	(sqrt (+ x (+ x y)))
6.0ms	(+ x (+ x y))
4.0ms	(+ x (+ x y))

simplify39.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5022	1024

prune138.0ms (11.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	3	130

Merged error: 0.0b

Counts

130 → 3

localize10.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.1b	(* (pow (cbrt (sqrt (+ x (+ x y)))) 5) (cbrt (sqrt (+ x (+ x y)))))
0.2b	(cbrt (sqrt (+ x (+ x y))))
0.2b	(cbrt (sqrt (+ x (+ x y))))
0.5b	(pow (cbrt (sqrt (+ x (+ x y)))) 5)

rewrite44.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`cbrt-prod`
46×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
33×	`sqrt-prod`
31×	`unpow-prod-down`
19×	`add-cube-cbrt`
15×	`associate-l` `distribute-lft-out` `unswap-sqr`
11×	`associate-r`
10×	`add-exp-log`
6×	`pow1` `cbrt-div` `sqrt-div`
5×	`add-cbrt-cube` `sqr-pow`
4×	`add-log-exp`
3×	`pow-unpow` `flip3-+` `pow1/3` `prod-exp` `flip-+`
2×	`pow-to-exp` `pow-pow` `associate-*r/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 119

Calls

4 calls:

19.0ms	(* (pow (cbrt (sqrt (+ x (+ x y)))) 5) (cbrt (sqrt (+ x (+ x y)))))
8.0ms	(pow (cbrt (sqrt (+ x (+ x y)))) 5)
6.0ms	(cbrt (sqrt (+ x (+ x y))))
5.0ms	(cbrt (sqrt (+ x (+ x y))))

series106.0ms (9%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(pow (cbrt (sqrt (+ x (+ x y)))) 5)
25.0ms	(cbrt (sqrt (+ x (+ x y))))
23.0ms	(cbrt (sqrt (+ x (+ x y))))
8.0ms	(* (pow (cbrt (sqrt (+ x (+ x y)))) 5) (cbrt (sqrt (+ x (+ x y)))))

simplify62.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4848	1818
1	4848	1818

prune184.0ms (15.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	131	3	134

Merged error: 0.0b

Counts

134 → 3

regimes107.0ms (9%)

Accuracy

Total 0.0b remaining (11.8%)

Threshold costs 0.0b (11.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms (0%)

sample246.0ms (20.9%)

Algorithm

1×

intervals

Results

128.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze52.0ms (4.4%)

sample10.0ms (0.9%)

simplify3.0ms (0.3%)

prune5.0ms (0.4%)

localize4.0ms (0.3%)

rewrite7.0ms (0.6%)

series4.0ms (0.3%)

simplify71.0ms (6%)

prune22.0ms (1.9%)

localize6.0ms (0.5%)

rewrite36.0ms (3%)

series24.0ms (2.1%)

simplify39.0ms (3.3%)

prune138.0ms (11.7%)

localize10.0ms (0.8%)

rewrite44.0ms (3.7%)

series106.0ms (9%)

simplify62.0ms (5.2%)

prune184.0ms (15.6%)

regimes107.0ms (9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample246.0ms (20.9%)

Profiling