Details

analyze64.0ms

Algorithm

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
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

sample12.0ms

Algorithm

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	364	10
1	364	10

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (-.f64 x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`-un-lft-identity_binary64` `associate-r*_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 x (-.f64 x y))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(*.f64 x (-.f64 x y))

simplify56.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4892	254
1	4892	254

prune14.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 x y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

1 → 12

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x x) (*.f64 x y))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(-.f64 (*.f64 x x) (*.f64 x y))

simplify57.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4982	170
1	4982	170

prune8.0ms

Filtered

9 candidates to 15 candidates (-66.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	15	3	18

Merged error: 0b

Counts

18 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (-.f64 x y))
0.1b	(.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (*.f64 x (-.f64 x y))))
7.1b	(sqrt.f64 (*.f64 x (-.f64 x y)))
7.1b	(sqrt.f64 (*.f64 x (-.f64 x y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
20×	`associate-*r/_binary64`
16×	`add-sqr-sqrt_binary64` `sqrt-div_binary64`
12×	`*-un-lft-identity_binary64` `pow1/2_binary64`
10×	`pow-prod-up_binary64` `add-cube-cbrt_binary64`
9×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`pow-sqr_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `frac-times_binary64`
2×	`sub-neg_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`rem-square-sqrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `pow2_binary64`

Counts

4 → 107

Calls

4 calls:

7.0ms	(*.f64 x (-.f64 x y))
15.0ms	(.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (*.f64 x (-.f64 x y))))
5.0ms	(sqrt.f64 (*.f64 x (-.f64 x y)))
5.0ms	(sqrt.f64 (*.f64 x (-.f64 x y)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(*.f64 x (-.f64 x y))
58.0ms	(.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (*.f64 x (-.f64 x y))))
76.0ms	(sqrt.f64 (*.f64 x (-.f64 x y)))
78.0ms	(sqrt.f64 (*.f64 x (-.f64 x y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4939	1261
1	4939	1261

prune58.0ms

Filtered

70 candidates to 119 candidates (-70.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	3	122

Merged error: 0b

Counts

122 → 3

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms

sample340.0ms

Algorithm

intervals

Results

200.0ms	8000×	body	128	valid
4.0ms	166×	body	128	invalid

Details

analyze64.0ms

sample12.0ms

simplify27.0ms

prune3.0ms

localize5.0ms

rewrite9.0ms

series49.0ms

simplify56.0ms

prune14.0ms

localize5.0ms

rewrite5.0ms

series52.0ms

simplify57.0ms

prune8.0ms

localize7.0ms

rewrite41.0ms

series259.0ms

simplify61.0ms

prune58.0ms

regimes41.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample340.0ms

Profiling