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
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	5	5
1	5	5

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

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

10.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4937	287
1	4937	287

prune19.0ms

Filtered

25 candidates to 36 candidates (-44.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0b

Counts

37 → 4

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) x)
0.4b	(/.f64 1 (/.f64 (+.f64 x y) x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac_binary64`
92×	`*-un-lft-identity_binary64`
60×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
19×	`associate-/r*_binary64`
16×	`distribute-lft-out_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
7×	`associate-/l*_binary64`
6×	`div-inv_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×	`flip3-+_binary64` `associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64` `flip-+_binary64`

Counts

2 → 121

Calls

2 calls:

6.0ms	(/.f64 (+.f64 x y) x)
8.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/.f64 (+.f64 x y) x)
6.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))

simplify58.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5020	1282

prune35.0ms

Filtered

70 candidates to 127 candidates (-81.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	127	4	131

Merged error: 0b

Counts

131 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.1b	(pow.f64 (/.f64 x (+.f64 x y)) 3)
12.6b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
46×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
42×	`cbrt-prod_binary64`
36×	`unpow-prod-down_binary64` `cube-prod_binary64`
16×	`distribute-lft-out_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
4×	`associate-/r*_binary64` `pow1_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64` `associate-/l*_binary64`
2×	`cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 141

Calls

3 calls:

6.0ms	(/.f64 x (+.f64 x y))
8.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
11.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

series25.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 x (+.f64 x y))
12.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
7.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

simplify37.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5157	1439

prune39.0ms

Filtered

70 candidates to 150 candidates (-114.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	150	4	154

Merged error: 0b

Counts

154 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x y))
0.0b	(sqrt.f64 (+.f64 x y))
0.0b	(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
0.2b	(/.f64 x (sqrt.f64 (+.f64 x y)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac_binary64`
306×	`*-un-lft-identity_binary64`
232×	`sqrt-prod_binary64`
192×	`add-sqr-sqrt_binary64`
190×	`add-cube-cbrt_binary64`
58×	`distribute-lft-out_binary64`
30×	`associate-/l*_binary64`
24×	`sqrt-div_binary64`
20×	`associate-/r/_binary64`
14×	`associate-/r*_binary64`
12×	`flip3-+_binary64` `flip-+_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`div-inv_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

4 → 317

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 x y))
3.0ms	(sqrt.f64 (+.f64 x y))
17.0ms	(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
7.0ms	(/.f64 x (sqrt.f64 (+.f64 x y)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt.f64 (+.f64 x y))
7.0ms	(sqrt.f64 (+.f64 x y))
18.0ms	(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
16.0ms	(/.f64 x (sqrt.f64 (+.f64 x y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

329 → 329

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4941	5186
1	4941	5186

prune66.0ms

Filtered

143 candidates to 329 candidates (-130.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	329	0	329
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	329	4	333

Merged error: 0b

Counts

333 → 4

regimes69.0ms

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	5	5
1	5	5

end0.0ms

sample279.0ms

Algorithm

intervals

Results

153.0ms

8000×

body

valid

Details

analyze35.0ms

sample11.0ms

simplify6.0ms

prune2.0ms

localize3.0ms

rewrite11.0ms

series6.0ms

simplify43.0ms

prune19.0ms

localize4.0ms

rewrite20.0ms

series10.0ms

simplify58.0ms

prune35.0ms

localize6.0ms

rewrite30.0ms

series25.0ms

simplify37.0ms

prune39.0ms

localize6.0ms

rewrite55.0ms

series48.0ms

simplify83.0ms

prune66.0ms

regimes69.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample279.0ms

Profiling