Details

analyze72.0ms (8.7%)

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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

sample13.0ms (1.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify10.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	255	7
1	255	7

prune8.0ms (1%)

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 (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`diff-log`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `associate--l+` `sum-log` `add-cbrt-cube` `flip--`

Counts

1 → 13

Calls

1 calls:

6.0ms

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

series4.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify38.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5299	164

prune20.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0b

Counts

17 → 2

localize12.0ms (1.5%)

Local error

Found 4 expressions with local error:

4.2b	(* x (* x (* y y)))
7.5b	(* x (* y y))
10.5b	(- (* (+ x y) (+ x y)) (* x (* x (* y y))))
30.1b	(/ (- (* (+ x y) (+ x y)) (* x (* x (* y y)))) (+ x (+ y (* x y))))

rewrite43.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
16×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`times-frac`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
4×	`associate-/r*` `distribute-lft-out`
3×	`associate-/l*`
2×	`flip3--` `associate-r` `associate--l+` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

15.0ms	(/ (- (* (+ x y) (+ x y)) (* x (* x (* y y)))) (+ x (+ y (* x y))))
12.0ms	(- (* (+ x y) (+ x y)) (* x (* x (* y y))))
7.0ms	(* x (* x (* y y)))
5.0ms	(* x (* y y))

series39.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (- (* (+ x y) (+ x y)) (* x (* x (* y y)))) (+ x (+ y (* x y))))
10.0ms	(- (* (+ x y) (+ x y)) (* x (* x (* y y))))
6.0ms	(* x (* x (* y y)))
6.0ms	(* x (* y y))

simplify43.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4993	1769
1	4993	1769

prune108.0ms (13.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	101	2	103

Merged error: 0b

Counts

103 → 2

regimes94.0ms (11.4%)

Accuracy

Total 0.0b remaining (18.2%)

Threshold costs 0.0b (18.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	7
1	33	7

end0.0ms (0%)

sample310.0ms (37.5%)

Algorithm

1×

intervals

Results

176.0ms	7999×	body	80	valid
1.0ms	68×	body	80	invalid
0.0ms	1×	body	160	valid

Details

analyze72.0ms (8.7%)

sample13.0ms (1.6%)

simplify10.0ms (1.2%)

prune8.0ms (1%)

localize4.0ms (0.5%)

rewrite6.0ms (0.7%)

series4.0ms (0.5%)

simplify38.0ms (4.7%)

prune20.0ms (2.4%)

localize12.0ms (1.5%)

rewrite43.0ms (5.2%)

series39.0ms (4.7%)

simplify43.0ms (5.2%)

prune108.0ms (13.1%)

regimes94.0ms (11.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample310.0ms (37.5%)

Profiling