Details

analyze31.0ms

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

sample17.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify152.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	2190	9
1	2190	9

prune2.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:

10.0ms

(/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4966	901
1	4966	901

prune55.0ms

Filtered

38 candidates to 61 candidates (-60.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	5	62

Merged error: 0b

Counts

62 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 2.0 (+.f64 x y)) (-.f64 x y))
0.1b	(/.f64 1 (/.f64 (-.f64 2.0 (+.f64 x y)) (-.f64 x y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

292×	`*-un-lft-identity_binary64`
258×	`times-frac_binary64`
214×	`add-sqr-sqrt_binary64`
100×	`add-cube-cbrt_binary64`
83×	`distribute-lft-out--_binary64`
57×	`difference-of-squares_binary64`
41×	`associate-/r*_binary64`
26×	`distribute-lft-out_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
8×	`div-exp_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 226

Calls

2 calls:

10.0ms	(/.f64 (-.f64 2.0 (+.f64 x y)) (-.f64 x y))
17.0ms	(/.f64 1 (/.f64 (-.f64 2.0 (+.f64 x y)) (-.f64 x y)))

series25.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(/.f64 (-.f64 2.0 (+.f64 x y)) (-.f64 x y))
9.0ms	(/.f64 1 (/.f64 (-.f64 2.0 (+.f64 x y)) (-.f64 x y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5537	3866

prune128.0ms

Filtered

110 candidates to 232 candidates (-110.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	232	5	237

Merged error: 0b

Counts

237 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y)))
0.0b	(*.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y))) (+.f64 x y))
3.6b	(/.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y))) (+.f64 x y)) (+.f64 x y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity_binary64`
84×	`add-sqr-sqrt_binary64`
65×	`times-frac_binary64`
36×	`associate-l_binary64`
35×	`distribute-lft-out--_binary64`
31×	`add-cube-cbrt_binary64`
24×	`difference-of-squares_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`distribute-lft-out_binary64`
10×	`associate-/r*_binary64`
7×	`associate-/l/_binary64`
6×	`cbrt-undiv_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `div-exp_binary64`
5×	`flip3-+_binary64` `pow1_binary64` `flip-+_binary64`
4×	`cbrt-unprod_binary64` `associate-r_binary64` `associate-*r/_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
2×	`unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-sub_binary64` `*-commutative_binary64`

Counts

3 → 152

Calls

3 calls:

11.0ms	(/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y)))
21.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y))) (+.f64 x y))
19.0ms	(/.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y))) (+.f64 x y)) (+.f64 x y))

series31.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y)))
12.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y))) (+.f64 x y))
10.0ms	(/.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y))) (+.f64 x y)) (+.f64 x y))

simplify68.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4963	2244
1	4963	2244

prune120.0ms

Filtered

107 candidates to 161 candidates (-50.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	161	5	166

Merged error: 0b

Counts

166 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
4.0ms	(cbrt.f64 (-.f64 x y))
4.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))

series127.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
29.0ms	(cbrt.f64 (-.f64 x y))
31.0ms	(cbrt.f64 (-.f64 x y))
29.0ms	(cbrt.f64 (-.f64 x y))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5297	1060

prune101.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	113	5	118

Merged error: 0b

Counts

118 → 5

regimes113.0ms

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	36	9
1	36	9

end0.0ms

sample324.0ms

Algorithm

intervals

Results

198.0ms

8000×

body

valid

Details

analyze31.0ms

sample17.0ms

simplify152.0ms

prune2.0ms

localize5.0ms

rewrite13.0ms

series9.0ms

simplify72.0ms

prune55.0ms

localize7.0ms

rewrite41.0ms

series25.0ms

simplify67.0ms

prune128.0ms

localize8.0ms

rewrite57.0ms

series31.0ms

simplify68.0ms

prune120.0ms

localize12.0ms

rewrite26.0ms

series127.0ms

simplify45.0ms

prune101.0ms

regimes113.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample324.0ms

Profiling