Details

analyze38.0ms (4.8%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample16.0ms (2.1%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

simplify41.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

prune4.0ms (0.6%)

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

localize5.0ms (0.6%)

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (+ x y))

rewrite9.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

7.0ms

(/ (- x y) (+ x y))

series8.0ms (1%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(/ (- x y) (+ x y))

simplify31.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5063	538

prune53.0ms (6.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Merged error: 0b

Counts

50 → 2

localize5.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ y (+ x y))
0.0b	(- (/ x (+ x y)) (/ y (+ x y)))

rewrite34.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`*-un-lft-identity`
40×	`times-frac`
35×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
12×	`distribute-lft-out`
8×	`associate-/r*` `associate-/r/`
7×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`flip3-+` `flip-+` `div-inv` `difference-of-squares`
3×	`pow1` `distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

3 → 93

Calls

3 calls:

20.0ms	(- (/ x (+ x y)) (/ y (+ x y)))
6.0ms	(/ x (+ x y))
5.0ms	(/ y (+ x y))

series22.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

11.0ms	(- (/ x (+ x y)) (/ y (+ x y)))
5.0ms	(/ x (+ x y))
5.0ms	(/ y (+ x y))

simplify42.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5553	1018

prune96.0ms (12%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	2	104

Merged error: 0b

Counts

104 → 2

regimes83.0ms (10.5%)

Accuracy

Total 0.0b remaining (42.6%)

Threshold costs 0.0b (42.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms (0%)

sample308.0ms (38.7%)

Algorithm

1×

intervals

Results

179.0ms

8000×

body

valid

Details

analyze38.0ms (4.8%)

sample16.0ms (2.1%)

simplify41.0ms (5.2%)

prune4.0ms (0.6%)

localize5.0ms (0.6%)

rewrite9.0ms (1.1%)

series8.0ms (1%)

simplify31.0ms (3.9%)

prune53.0ms (6.6%)

localize5.0ms (0.7%)

rewrite34.0ms (4.3%)

series22.0ms (2.8%)

simplify42.0ms (5.3%)

prune96.0ms (12%)

regimes83.0ms (10.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample308.0ms (38.7%)

Profiling