Details

analyze67.0ms

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

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	380	7
1	380	7

prune7.0ms

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

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 2.0 (.f64 x (-.f64 x y)))
0.0b	(*.f64 x (-.f64 x y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`sub-neg_binary64` `associate-r_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 48

Calls

2 calls:

8.0ms	(.f64 2.0 (.f64 x (-.f64 x y)))
7.0ms	(*.f64 x (-.f64 x y))

series16.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(.f64 2.0 (.f64 x (-.f64 x y)))
9.0ms	(*.f64 x (-.f64 x y))

simplify35.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4963	399
1	4963	399

prune40.0ms

Filtered

33 candidates to 54 candidates (-63.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	53	3	56

Merged error: 0b

Counts

56 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 x 2.0) (-.f64 x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x 2.0) (-.f64 x y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(*.f64 (*.f64 x 2.0) (-.f64 x y))

simplify45.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5109	220

prune21.0ms

Filtered

15 candidates to 27 candidates (-80.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Merged error: 0b

Counts

30 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 2.0 (-.f64 (.f64 x x) (*.f64 x y)))
0.0b	(-.f64 (.f64 x x) (.f64 x y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

7.0ms	(.f64 2.0 (-.f64 (.f64 x x) (*.f64 x y)))
4.0ms	(-.f64 (.f64 x x) (.f64 x y))

series15.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(.f64 2.0 (-.f64 (.f64 x x) (*.f64 x y)))
6.0ms	(-.f64 (.f64 x x) (.f64 x y))

simplify47.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4939	341
1	4939	341

prune31.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	41	3	44

Merged error: 0b

Counts

44 → 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))))
9.4b	(sqrt.f64 (*.f64 x (-.f64 x y)))
9.4b	(sqrt.f64 (*.f64 x (-.f64 x y)))

rewrite37.0ms

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)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 x (-.f64 x y))
7.0ms	(.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (*.f64 x (-.f64 x y))))
11.0ms	(sqrt.f64 (*.f64 x (-.f64 x y)))
11.0ms	(sqrt.f64 (*.f64 x (-.f64 x y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5368	845

prune69.0ms

Filtered

71 candidates to 119 candidates (-67.6%)

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

regimes132.0ms

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	18	7
1	18	7

end0.0ms

sample335.0ms

Algorithm

intervals

Results

212.0ms	8000×	body	80	valid
4.0ms	163×	body	80	invalid

Details

analyze67.0ms

sample13.0ms

simplify18.0ms

prune7.0ms

localize4.0ms

rewrite16.0ms

series16.0ms

simplify35.0ms

prune40.0ms

localize6.0ms

rewrite9.0ms

series7.0ms

simplify45.0ms

prune21.0ms

localize6.0ms

rewrite12.0ms

series15.0ms

simplify47.0ms

prune31.0ms

localize7.0ms

rewrite37.0ms

series35.0ms

simplify41.0ms

prune69.0ms

regimes132.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample335.0ms

Profiling