Details

analyze99.0ms

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
25%	74.9%	0.1%	6
56.2%	43.7%	0.1%	7
56.2%	43.7%	0.1%	8
76.5%	23.4%	0.1%	9
76.5%	23.4%	0.1%	10
87.8%	12.1%	0.1%	11
87.8%	12.1%	0.1%	12
93.8%	6.1%	0.1%	13
93.8%	6.1%	0.1%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify126.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5371	7

prune9.0ms

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 (/.f64 1/2 y) (/.f64 -1/2 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
2×	`distribute-lft-out_binary64` `times-frac_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `frac-add_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 14

Calls

1 calls:

13.0ms

(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

simplify53.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5015	163

prune22.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0b

Counts

19 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

16.7b

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`associate-/l*_binary64` `times-frac_binary64`
3×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip--_binary64`

Counts

1 → 30

Calls

1 calls:

9.0ms

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

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5910	311

prune25.0ms

Filtered

20 candidates to 33 candidates (-65.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

36 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
0.0b	(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.0b	(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.2b	(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64`
40×	`sqrt-prod_binary64`
30×	`sqrt-div_binary64`
28×	`add-sqr-sqrt_binary64`
21×	`pow1_binary64`
16×	`distribute-lft-out_binary64`
14×	`add-cube-cbrt_binary64` `times-frac_binary64`
12×	`swap-sqr_binary64`
11×	`flip3-+_binary64` `frac-add_binary64` `flip-+_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`frac-times_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
2×	`rem-sqrt-square_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 122

Calls

4 calls:

15.0ms	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
13.0ms	(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
13.0ms	(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
31.0ms	(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
15.0ms	(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
15.0ms	(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
5.0ms	(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))

simplify60.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4941	1616
1	4941	1616

prune100.0ms

Filtered

74 candidates to 134 candidates (-81.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	134	3	137

Merged error: 0b

Counts

137 → 3

regimes106.0ms

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	8	7
1	8	7

end0.0ms

sample354.0ms

Algorithm

intervals

Results

223.0ms

8000×

body

valid

Details

analyze99.0ms

sample14.0ms

simplify126.0ms

prune9.0ms

localize5.0ms

rewrite13.0ms

series5.0ms

simplify53.0ms

prune22.0ms

localize6.0ms

rewrite10.0ms

series8.0ms

simplify35.0ms

prune25.0ms

localize7.0ms

rewrite76.0ms

series40.0ms

simplify60.0ms

prune100.0ms

regimes106.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample354.0ms

Profiling