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

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

128

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

prune5.0ms

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: 15.8b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

15.3b

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

rewrite11.0ms

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))

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5355	451

prune28.0ms

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))

rewrite15.0ms

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:

14.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify80.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5100	274

prune15.0ms

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

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(.f64 (.f64 y (*.f64 x 2)) (-.f64 x y))
4.3b	(-.f64 (.f64 x x) (.f64 y y))
36.0b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 y (*.f64 x 2)) (-.f64 x y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
8×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`pow-prod-down_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `associate-r_binary64`
4×	`flip3--_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `times-frac_binary64` `div-exp_binary64` `flip--_binary64`
3×	`sub-neg_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`associate-/r_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 71

Calls

3 calls:

11.0ms	(.f64 (.f64 y (*.f64 x 2)) (-.f64 x y))
4.0ms	(-.f64 (.f64 x x) (.f64 y y))
14.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 y (*.f64 x 2)) (-.f64 x y)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(.f64 (.f64 y (*.f64 x 2)) (-.f64 x y))
46.0ms	(-.f64 (.f64 x x) (.f64 y y))
119.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 y (*.f64 x 2)) (-.f64 x y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5021	1339

prune43.0ms

Filtered

49 candidates to 80 candidates (-63.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	80	2	82

Merged error: 0b

Counts

82 → 2

regimes16.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms

sample346.0ms

Algorithm

intervals

Results

218.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Details

analyze99.0ms

sample12.0ms

simplify8.0ms

prune5.0ms

localize6.0ms

rewrite11.0ms

series75.0ms

simplify43.0ms

prune28.0ms

localize5.0ms

rewrite15.0ms

series33.0ms

simplify80.0ms

prune15.0ms

localize13.0ms

rewrite35.0ms

series255.0ms

simplify43.0ms

prune43.0ms

regimes16.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample346.0ms

Profiling