Details

analyze11.0ms

Algorithm

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

sample223.0ms

Algorithm

intervals

Results

10.0ms

256×

body

128

valid

simplify182.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	11
1	11	11

prune3.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.4b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
14×	`sqrt-prod_binary64`
10×	`associate-l_binary64`
8×	`*-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` `difference-of-squares_binary64` `sqrt-div_binary64` `associate-*l/_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `difference-of-sqr-1_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 36

Calls

1 calls:

22.0ms

(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

simplify62.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4974	611
1	4974	611

prune34.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Merged error: 0b

Counts

40 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (+.f64 (/.f64 1/8 x) 1/2))

rewrite12.0ms

Algorithm

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:

10.0ms

(-.f64 x (+.f64 (/.f64 1/8 x) 1/2))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(-.f64 x (+.f64 (/.f64 1/8 x) 1/2))

simplify57.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4972	288
1	4972	288

prune11.0ms

Filtered

12 candidates to 19 candidates (-58.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0b

Counts

21 → 2

regimes22.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	10
1	41	10

end0.0ms

sample314.0ms

Algorithm

intervals

Results

222.0ms	8000×	body	128	valid
0.0ms	6×	body	128	nan

Details

analyze11.0ms

sample223.0ms

simplify182.0ms

prune3.0ms

localize6.0ms

rewrite26.0ms

series67.0ms

simplify62.0ms

prune34.0ms

localize5.0ms

rewrite12.0ms

series19.0ms

simplify57.0ms

prune11.0ms

regimes22.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample314.0ms

Profiling