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

sample15.0ms (1.3%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

valid

simplify431.0ms (36.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	7
1	71	7

prune6.0ms (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: 0.4b

Counts

2 → 1

localize8.0ms (0.7%)

Local error

Found 1 expressions with local error:

0.4b	(*.f64 (sqrt.f64 (-.f64 x 1.0)) (sqrt.f64 x))

rewrite24.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
12×	`sqrt-prod_binary64`
8×	`associate-l_binary64`
7×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64`
4×	`unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64` `associate-*l/_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 34

Calls

1 calls:

22.0ms

(*.f64 (sqrt.f64 (-.f64 x 1.0)) (sqrt.f64 x))

series19.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

19.0ms

(*.f64 (sqrt.f64 (-.f64 x 1.0)) (sqrt.f64 x))

simplify50.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5045	370

prune56.0ms (4.8%)

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%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (+.f64 0.5 (/.f64 0.125 x)))

rewrite9.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
3×	`add-sqr-sqrt_binary64`
2×	`diff-log_binary64` `distribute-lft-out--_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `associate--r+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `flip--_binary64` `sum-log_binary64`

Counts

1 → 16

Calls

1 calls:

9.0ms

(-.f64 x (+.f64 0.5 (/.f64 0.125 x)))

series3.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(-.f64 x (+.f64 0.5 (/.f64 0.125 x)))

simplify66.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4847	194
1	4847	194

prune23.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Merged error: 0b

Counts

21 → 2

localize7.0ms (0.6%)

Local error

Found 1 expressions with local error:

27.7b

(sqrt.f64 (*.f64 x (-.f64 x 1.0)))

rewrite6.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1_binary64`
2×	`associate-*r/_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1/2_binary64` `flip3--_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64` `sqrt-prod_binary64`

Counts

1 → 13

Calls

1 calls:

5.0ms

(sqrt.f64 (*.f64 x (-.f64 x 1.0)))

series5.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(sqrt.f64 (*.f64 x (-.f64 x 1.0)))

simplify60.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5536	139

prune18.0ms (1.5%)

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

regimes27.0ms (2.3%)

Accuracy

Total 0.4b remaining (99.2%)

Threshold costs 0.4b (99.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	7
1	40	7

end0.0ms (0%)

sample320.0ms (27.4%)

Algorithm

1×

intervals

Results

224.0ms	7993×	body	80	valid
0.0ms	7×	body	160	valid
0.0ms	3×	body	80	nan

Details

analyze10.0ms (0.8%)

sample15.0ms (1.3%)

simplify431.0ms (36.9%)

prune6.0ms (0.5%)

localize8.0ms (0.7%)

rewrite24.0ms (2.1%)

series19.0ms (1.7%)

simplify50.0ms (4.3%)

prune56.0ms (4.8%)

localize5.0ms (0.4%)

rewrite9.0ms (0.8%)

series3.0ms (0.2%)

simplify66.0ms (5.6%)

prune23.0ms (2%)

localize7.0ms (0.6%)

rewrite6.0ms (0.5%)

series5.0ms (0.4%)

simplify60.0ms (5.1%)

prune18.0ms (1.5%)

regimes27.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample320.0ms (27.4%)

Profiling