Details

analyze58.0ms (3.6%)

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
50%	50%	0.1%	5
50%	50%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

sample12.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

prune5.0ms (0.3%)

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

rewrite11.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`*-un-lft-identity`
48×	`times-frac`
39×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`distribute-lft-out`
15×	`distribute-rgt-out`
12×	`associate-/r*`
5×	`distribute-lft1-in` `count-2` `distribute-rgt1-in`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 80

Calls

1 calls:

8.0ms

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

series5.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify61.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5602	942

prune79.0ms (4.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	2	84

Merged error: 0b

Counts

84 → 2

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt (/ (+ x y) (+ y y)))
0.2b	(cbrt (/ (+ x y) (+ y y)))
0.2b	(cbrt (/ (+ x y) (+ y y)))
0.8b	(* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y))))

rewrite124.0ms (7.6%)

Algorithm

1×	rewrite-expression-head

Rules

695×	`*-un-lft-identity`
510×	`cbrt-prod`
462×	`times-frac`
343×	`add-sqr-sqrt`
271×	`add-cube-cbrt`
252×	`distribute-lft-out`
117×	`swap-sqr`
108×	`distribute-rgt-out`
57×	`associate-r` `associate-l`
44×	`distribute-lft1-in` `distribute-rgt1-in`
32×	`count-2`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 450

Calls

4 calls:

62.0ms	(* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y))))
11.0ms	(cbrt (/ (+ x y) (+ y y)))
8.0ms	(cbrt (/ (+ x y) (+ y y)))
8.0ms	(cbrt (/ (+ x y) (+ y y)))

series171.0ms (10.5%)

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y))))
37.0ms	(cbrt (/ (+ x y) (+ y y)))
36.0ms	(cbrt (/ (+ x y) (+ y y)))
36.0ms	(cbrt (/ (+ x y) (+ y y)))

simplify99.0ms (6%)

Algorithm

1×	egg-herbie

Counts

462 → 462

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5144	8523

prune604.0ms (36.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	462	0	462
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	462	2	464

Merged error: 0b

Counts

464 → 2

regimes91.0ms (5.5%)

Accuracy

Total 0.0b remaining (13.5%)

Threshold costs 0.0b (13.5%)

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%)

sample298.0ms (18.2%)

Algorithm

1×

intervals

Results

172.0ms	8000×	body	80	valid
4.0ms	218×	body	80	invalid

Details

analyze58.0ms (3.6%)

sample12.0ms (0.7%)

simplify3.0ms (0.2%)

prune5.0ms (0.3%)

localize4.0ms (0.3%)

rewrite11.0ms (0.7%)

series5.0ms (0.3%)

simplify61.0ms (3.7%)

prune79.0ms (4.9%)

localize8.0ms (0.5%)

rewrite124.0ms (7.6%)

series171.0ms (10.5%)

simplify99.0ms (6%)

prune604.0ms (36.9%)

regimes91.0ms (5.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample298.0ms (18.2%)

Profiling