Details

analyze79.0ms (7.2%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	50%	25.1%	7
31.2%	37.5%	31.3%	8
39%	24.2%	36.8%	9
42.9%	18.3%	38.7%	10
47.2%	11.9%	40.9%	11
49.4%	9.1%	41.6%	12
51.6%	5.9%	42.5%	13
52.7%	4.5%	42.8%	14

sample13.0ms (1.2%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify107.0ms (9.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	6509	7

prune5.0ms (0.4%)

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

localize8.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--` `difference-of-squares`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series5.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify52.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4881	141
1	4881	141

prune24.0ms (2.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	2	16

Merged error: 0b

Counts

16 → 2

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 31

Calls

1 calls:

8.0ms

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

series6.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify43.0ms (4%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5281	373

prune41.0ms (3.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Merged error: 0b

Counts

36 → 2

localize8.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* y y))
0.2b	(pow (- (* x x) (* y y)) 3)
34.9b	(cbrt (pow (- (* x x) (* y y)) 3))

rewrite14.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 64

Calls

3 calls:

5.0ms	(cbrt (pow (- (* x x) (* y y)) 3))
4.0ms	(pow (- (* x x) (* y y)) 3)
4.0ms	(- (* x x) (* y y))

series27.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(pow (- (* x x) (* y y)) 3)
6.0ms	(cbrt (pow (- (* x x) (* y y)) 3))
5.0ms	(- (* x x) (* y y))

simplify56.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4950	796
1	4950	796

prune126.0ms (11.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	73	2	75

Merged error: 0b

Counts

75 → 2

regimes159.0ms (14.5%)

Accuracy

Total 0.0b remaining (12.5%)

Threshold costs 0.0b (12.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample305.0ms (27.8%)

Algorithm

1×

intervals

Results

181.0ms	8000×	body	80	valid
3.0ms	144×	body	80	invalid

Details

analyze79.0ms (7.2%)

sample13.0ms (1.2%)

simplify107.0ms (9.7%)

prune5.0ms (0.4%)

localize8.0ms (0.7%)

rewrite4.0ms (0.3%)

series5.0ms (0.5%)

simplify52.0ms (4.7%)

prune24.0ms (2.2%)

localize4.0ms (0.4%)

rewrite9.0ms (0.8%)

series6.0ms (0.6%)

simplify43.0ms (4%)

prune41.0ms (3.7%)

localize8.0ms (0.7%)

rewrite14.0ms (1.3%)

series27.0ms (2.4%)

simplify56.0ms (5.1%)

prune126.0ms (11.5%)

regimes159.0ms (14.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample305.0ms (27.8%)

Profiling