Details

analyze100.0ms

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

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 17.6b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

16.9b

(/.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`
4×	`associate-/l*_binary64` `times-frac_binary64`
3×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out_binary64`
1×	`flip3-+_binary64` `associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

1 → 27

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))

simplify34.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5265	306

prune23.0ms

Filtered

19 candidates to 30 candidates (-57.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	2	31

Merged error: 0b

Counts

31 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
6×	`times-frac_binary64`
5×	`distribute-lft-out_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`div-inv_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `frac-add_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 17

Calls

1 calls:

15.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify75.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4982	186
1	4982	186

prune12.0ms

Filtered

15 candidates to 20 candidates (-33.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Merged error: 0b

Counts

22 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x y) y)
0.0b	(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
6.6b	(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

227×	`times-frac_binary64`
130×	`*-un-lft-identity_binary64`
86×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
61×	`add-exp-log_binary64`
40×	`associate-/r*_binary64`
35×	`add-cbrt-cube_binary64` `div-exp_binary64`
22×	`distribute-lft-out_binary64`
18×	`cbrt-undiv_binary64`
13×	`div-inv_binary64`
8×	`prod-exp_binary64` `associate-/l*_binary64`
6×	`associate-/r/_binary64`
5×	`1-exp_binary64` `rec-exp_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64`
3×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`associate-/l/_binary64`
1×	`flip3-+_binary64` `inv-pow_binary64` `pow-flip_binary64` `flip-+_binary64`

Counts

3 → 205

Calls

3 calls:

7.0ms	(/.f64 (+.f64 x y) y)
13.0ms	(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
10.0ms	(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))

series22.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 (+.f64 x y) y)
8.0ms	(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
9.0ms	(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))

simplify85.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4945	2663
1	4945	2663

prune66.0ms

Filtered

123 candidates to 214 candidates (-74.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	214	2	216

Merged error: 0b

Counts

216 → 2

regimes42.0ms

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	7	7
1	7	7

end0.0ms

sample393.0ms

Algorithm

intervals

Results

248.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze100.0ms

sample13.0ms

simplify7.0ms

prune7.0ms

localize6.0ms

rewrite10.0ms

series8.0ms

simplify34.0ms

prune23.0ms

localize5.0ms

rewrite16.0ms

series5.0ms

simplify75.0ms

prune12.0ms

localize7.0ms

rewrite44.0ms

series22.0ms

simplify85.0ms

prune66.0ms

regimes42.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample393.0ms

Profiling