Details

analyze10.0ms

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

sample14.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify563.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	13	11
1	13	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: 0.5b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

rewrite14.0ms

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:

11.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify90.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4998	609
1	4998	609

prune32.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	2	40

Merged error: 0b

Counts

40 → 2

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify11.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 (-.f64 x 1)))
0.1b	(sqrt.f64 (sqrt.f64 (-.f64 x 1)))
0.3b	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (-.f64 x 1)))))
0.3b	(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (-.f64 x 1))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

82×	`sqrt-prod_binary64`
48×	`add-sqr-sqrt_binary64`
36×	`sqrt-div_binary64`
28×	`*-un-lft-identity_binary64`
20×	`pow1_binary64`
19×	`associate-l_binary64`
16×	`add-cube-cbrt_binary64`
14×	`associate-r_binary64`
13×	`sqrt-pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow-prod-down_binary64` `associate-*r/_binary64`
9×	`pow1/2_binary64` `flip3--_binary64` `flip--_binary64`
8×	`difference-of-squares_binary64`
6×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `difference-of-sqr-1_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `frac-times_binary64`
3×	`sqrt-unprod_binary64`
2×	`associate-l/_binary64` `-commutative_binary64`

Counts

4 → 130

Calls

4 calls:

5.0ms	(sqrt.f64 (sqrt.f64 (-.f64 x 1)))
5.0ms	(sqrt.f64 (sqrt.f64 (-.f64 x 1)))
18.0ms	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (-.f64 x 1)))))
12.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (-.f64 x 1))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(sqrt.f64 (sqrt.f64 (-.f64 x 1)))
24.0ms	(sqrt.f64 (sqrt.f64 (-.f64 x 1)))
35.0ms	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (-.f64 x 1)))))
74.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (-.f64 x 1))))

simplify62.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4942	2634
1	4942	2634

prune107.0ms

Filtered

91 candidates to 142 candidates (-56.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	142	2	144

Merged error: 0b

Counts

144 → 2

regimes9.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	10
1	41	10

end0.0ms

sample312.0ms

Algorithm

intervals

Results

222.0ms	7988×	body	80	valid
1.0ms	12×	body	160	valid
0.0ms	3×	body	80	nan

Details

analyze10.0ms

sample14.0ms

simplify563.0ms

prune3.0ms

localize7.0ms

rewrite14.0ms

series39.0ms

simplify90.0ms

prune32.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify11.0ms

prune1.0ms

localize10.0ms

rewrite44.0ms

series159.0ms

simplify62.0ms

prune107.0ms

regimes9.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample312.0ms

Profiling