Details

analyze10.0ms (0.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

sample211.0ms (16%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

valid

simplify461.0ms (35.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	71	7
1	71	7

prune7.0ms (0.5%)

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: 0.5b

Counts

2 → 1

localize8.0ms (0.6%)

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite13.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`sqrt-prod`
8×	`associate-l`
7×	`*-un-lft-identity`
6×	`associate-r`
5×	`pow1` `add-cube-cbrt`
4×	`unswap-sqr`
3×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-*l/`
1×	`flip3--` `sqrt-unprod` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 34

Calls

1 calls:

10.0ms

(* (sqrt (- x 1.0)) (sqrt x))

series16.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

16.0ms

(* (sqrt (- x 1.0)) (sqrt x))

simplify48.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5045	370

prune92.0ms (7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	2	38

Merged error: 0b

Counts

38 → 2

localize5.0ms (0.4%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	0	0
Total	2	2

Merged error: 0b

Counts

2 → 2

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

26.1b

(sqrt (* x (- x 1.0)))

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1`
2×	`sqrt-pow1` `sqrt-div` `associate-*r/`
1×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `pow1/2` `pow-prod-down` `sqrt-prod` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

4.0ms

(sqrt (* x (- x 1.0)))

series3.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(sqrt (* x (- x 1.0)))

simplify57.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5536	139

prune25.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	16	2	18

Merged error: 0b

Counts

18 → 2

regimes28.0ms (2.2%)

Accuracy

Total 0.4b remaining (99.2%)

Threshold costs 0.4b (99.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	7
1	40	7

end0.0ms (0%)

sample314.0ms (23.9%)

Algorithm

1×

intervals

Results

224.0ms	7995×	body	80	valid
0.0ms	5×	body	160	valid
0.0ms	7×	body	80	nan

Details

analyze10.0ms (0.8%)

sample211.0ms (16%)

simplify461.0ms (35.1%)

prune7.0ms (0.5%)

localize8.0ms (0.6%)

rewrite13.0ms (1%)

series16.0ms (1.2%)

simplify48.0ms (3.6%)

prune92.0ms (7%)

localize5.0ms (0.4%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify2.0ms (0.2%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

rewrite5.0ms (0.4%)

series3.0ms (0.3%)

simplify57.0ms (4.4%)

prune25.0ms (1.9%)

regimes28.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample314.0ms (23.9%)

Profiling