Details

analyze70.0ms

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
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	7
1	38	7

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 2 (.f64 x (+.f64 x y)))
0.0b	(*.f64 x (+.f64 x y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`associate-r/_binary64` `associate-l*_binary64`
5×	`associate-r_binary64` `add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`distribute-lft-out_binary64` `unswap-sqr_binary64`

Counts

2 → 47

Calls

2 calls:

8.0ms	(.f64 2 (.f64 x (+.f64 x y)))
7.0ms	(*.f64 x (+.f64 x y))

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(.f64 2 (.f64 x (+.f64 x y)))
5.0ms	(*.f64 x (+.f64 x y))

simplify77.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4965	386
1	4965	386

prune22.0ms

Filtered

32 candidates to 53 candidates (-65.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	3	54

Merged error: 0.0b

Counts

54 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-l_binary64`
11×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
4×	`distribute-lft-out_binary64` `associate-r_binary64` `frac-times_binary64`
3×	`pow1_binary64` `distribute-rgt-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `count-2_binary64` `distribute-lft1-in_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 38

Calls

1 calls:

13.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify62.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4876	343
1	4876	343

prune19.0ms

Filtered

27 candidates to 41 candidates (-51.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (+.f64 x y))
0.4b	(.f64 (sqrt.f64 2) (.f64 (*.f64 x (+.f64 x y)) (sqrt.f64 2)))
0.4b	(.f64 (.f64 x (+.f64 x y)) (sqrt.f64 2))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-sqr-sqrt_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
9×	`add-cube-cbrt_binary64`
8×	`associate-*r/_binary64`
6×	`sqrt-prod_binary64`
4×	`associate-*l/_binary64`
3×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64`

Counts

3 → 72

Calls

3 calls:

6.0ms	(*.f64 x (+.f64 x y))
13.0ms	(.f64 (sqrt.f64 2) (.f64 (*.f64 x (+.f64 x y)) (sqrt.f64 2)))
9.0ms	(.f64 (.f64 x (+.f64 x y)) (sqrt.f64 2))

series31.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.f64 x (+.f64 x y))
14.0ms	(.f64 (sqrt.f64 2) (.f64 (*.f64 x (+.f64 x y)) (sqrt.f64 2)))
12.0ms	(.f64 (.f64 x (+.f64 x y)) (sqrt.f64 2))

simplify47.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5092	642

prune34.0ms

Filtered

47 candidates to 81 candidates (-72.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	81	4	85

Merged error: 0b

Counts

85 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b	(.f64 x (.f64 (+.f64 x y) (sqrt.f64 2)))
0.4b	(.f64 (sqrt.f64 2) (.f64 x (*.f64 (+.f64 x y) (sqrt.f64 2))))
0.5b	(*.f64 (+.f64 x y) (sqrt.f64 2))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-l_binary64` `add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`add-cube-cbrt_binary64`
8×	`associate-r_binary64`
7×	`sqrt-prod_binary64`
6×	`associate-r/_binary64` `associate-l/_binary64`
3×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`distribute-lft-out_binary64`

Counts

3 → 71

Calls

3 calls:

8.0ms	(.f64 x (.f64 (+.f64 x y) (sqrt.f64 2)))
13.0ms	(.f64 (sqrt.f64 2) (.f64 x (*.f64 (+.f64 x y) (sqrt.f64 2))))
8.0ms	(*.f64 (+.f64 x y) (sqrt.f64 2))

series30.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(.f64 x (.f64 (+.f64 x y) (sqrt.f64 2)))
14.0ms	(.f64 (sqrt.f64 2) (.f64 x (*.f64 (+.f64 x y) (sqrt.f64 2))))
7.0ms	(*.f64 (+.f64 x y) (sqrt.f64 2))

simplify55.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4958	663
1	4958	663

prune31.0ms

Filtered

47 candidates to 80 candidates (-70.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	81	3	84

Merged error: 0b

Counts

84 → 3

regimes47.0ms

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

sample345.0ms

Algorithm

intervals

Results

213.0ms	8000×	body	80	valid
4.0ms	161×	body	80	invalid

Details

analyze70.0ms

sample13.0ms

simplify6.0ms

prune8.0ms

localize4.0ms

rewrite16.0ms

series12.0ms

simplify77.0ms

prune22.0ms

localize4.0ms

rewrite14.0ms

series6.0ms

simplify62.0ms

prune19.0ms

localize7.0ms

rewrite31.0ms

series31.0ms

simplify47.0ms

prune34.0ms

localize7.0ms

rewrite32.0ms

series30.0ms

simplify55.0ms

prune31.0ms

regimes47.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample345.0ms

Profiling