Details

analyze35.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

sample18.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify159.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (156.0ms)

Iter	Nodes	Cost
0	2141	9
1	2141	9

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64`
40×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
19×	`distribute-lft-out--_binary64`
14×	`add-cube-cbrt_binary64`
13×	`difference-of-squares_binary64`
6×	`associate-/r*_binary64` `distribute-lft-out_binary64`
5×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 58

Calls

1 calls:

11.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5078	897

prune60.0ms

Filtered

38 candidates to 61 candidates (-60.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	5	62

Merged error: 0b

Counts

62 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 2 (+.f64 x y)))
0.0b	(/.f64 y (-.f64 2 (+.f64 x y)))
0.0b	(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity_binary64`
64×	`times-frac_binary64`
59×	`add-sqr-sqrt_binary64`
41×	`distribute-lft-out--_binary64`
27×	`add-cube-cbrt_binary64`
14×	`distribute-lft-out_binary64` `difference-of-squares_binary64`
12×	`associate-/r*_binary64`
8×	`associate-/r/_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`div-inv_binary64`
3×	`pow1_binary64` `distribute-rgt-out--_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `sub-div_binary64` `frac-sub_binary64`

Counts

3 → 115

Calls

3 calls:

8.0ms	(/.f64 x (-.f64 2 (+.f64 x y)))
8.0ms	(/.f64 y (-.f64 2 (+.f64 x y)))
41.0ms	(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))

series28.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 x (-.f64 2 (+.f64 x y)))
7.0ms	(/.f64 y (-.f64 2 (+.f64 x y)))
13.0ms	(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))

simplify61.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4975	1656
1	4975	1656

prune110.0ms

Filtered

85 candidates to 124 candidates (-45.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	124	5	129

Merged error: 0b

Counts

129 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.1b	(.f64 (/.f64 (-.f64 x y) (-.f64 4 (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 2 (+.f64 x y)))
25.1b	(/.f64 (-.f64 x y) (-.f64 4 (*.f64 (+.f64 x y) (+.f64 x y))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity_binary64`
65×	`add-sqr-sqrt_binary64`
41×	`times-frac_binary64`
30×	`associate-l_binary64`
29×	`add-cube-cbrt_binary64`
20×	`difference-of-squares_binary64`
12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`distribute-lft-out_binary64` `associate-r_binary64` `distribute-lft-out--_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `frac-times_binary64`
5×	`associate-/l*_binary64`
4×	`associate-/r_binary64` `associate-r/_binary64` `associate-/r/_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `associate-*l/_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-up_binary64` `pow-plus_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

3 → 139

Calls

3 calls:

10.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
19.0ms	(.f64 (/.f64 (-.f64 x y) (-.f64 4 (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 2 (+.f64 x y)))
8.0ms	(/.f64 (-.f64 x y) (-.f64 4 (*.f64 (+.f64 x y) (+.f64 x y))))

series45.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
24.0ms	(.f64 (/.f64 (-.f64 x y) (-.f64 4 (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 2 (+.f64 x y)))
17.0ms	(/.f64 (-.f64 x y) (-.f64 4 (*.f64 (+.f64 x y) (+.f64 x y))))

simplify43.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5220	2322

prune132.0ms

Filtered

105 candidates to 148 candidates (-41.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	148	5	153

Merged error: 0b

Counts

153 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 x (-.f64 2 (+.f64 x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out--_binary64`
6×	`associate-/r*_binary64`
4×	`distribute-lft-out_binary64` `difference-of-squares_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`

Counts

1 → 41

Calls

1 calls:

10.0ms

(/.f64 x (-.f64 2 (+.f64 x y)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(/.f64 x (-.f64 2 (+.f64 x y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5517	478

prune33.0ms

Filtered

30 candidates to 44 candidates (-46.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	44	5	49

Merged error: 0b

Counts

49 → 5

regimes121.0ms

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	44	15
1	44	15

end0.0ms

sample333.0ms

Algorithm

intervals

Results

205.0ms	7998×	body	80	valid
0.0ms	2×	body	320	valid

Details

analyze35.0ms

sample18.0ms

simplify159.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series9.0ms

simplify48.0ms

prune60.0ms

localize7.0ms

rewrite63.0ms

series28.0ms

simplify61.0ms

prune110.0ms

localize9.0ms

rewrite43.0ms

series45.0ms

simplify43.0ms

prune132.0ms

localize6.0ms

rewrite12.0ms

series7.0ms

simplify42.0ms

prune33.0ms

regimes121.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample333.0ms

Profiling