Details

analyze64.0ms

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

sample24.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	39	10
1	39	10

prune15.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_5040` `pow1_binary64_5014` `add-exp-log_binary64_5032`
7×	`*-un-lft-identity_binary64_5068` `add-sqr-sqrt_binary64_5053`
6×	`associate-l_binary64_5128` `associate-*r/_binary64_5129`
5×	`distribute-lft-in_binary64_5110` `associate-r_binary64_5127` `distribute-rgt-in_binary64_5111` `add-cube-cbrt_binary64_5039`
4×	`pow-prod-down_binary64_4995` `prod-exp_binary64_5019` `cbrt-unprod_binary64_5037`
2×	`flip3-+_binary64_5066` `flip-+_binary64_5093` `add-log-exp_binary64_5033` `*-commutative_binary64_5136`
1×	`distribute-lft-out_binary64_5112` `unswap-sqr_binary64_5096`

Counts

2 → 47

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 x y))
7.0ms	(.f64 2 (.f64 x (+.f64 x y)))

series48.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(*.f64 x (+.f64 x y))
30.0ms	(.f64 2 (.f64 x (+.f64 x y)))

simplify108.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5321	564

prune149.0ms

Filtered

30 candidates to 53 candidates (-76.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	2	54

Merged error: 0b

Counts

54 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-l_binary64_5128`
11×	`*-un-lft-identity_binary64_5068`
9×	`add-sqr-sqrt_binary64_5053`
7×	`add-cube-cbrt_binary64_5039`
6×	`flip3-+_binary64_5066` `flip-+_binary64_5093`
4×	`distribute-lft-out_binary64_5112` `associate-r_binary64_5127` `frac-times_binary64_5060`
3×	`add-cbrt-cube_binary64_5040` `distribute-rgt-out_binary64_5114` `pow1_binary64_5014` `add-exp-log_binary64_5032`
2×	`associate-l/_binary64_5130` `associate-r/_binary64_5129`
1×	`pow-prod-down_binary64_4995` `distribute-lft-in_binary64_5110` `add-log-exp_binary64_5033` `prod-exp_binary64_5019` `count-2_binary64_5118` `unswap-sqr_binary64_5096` `distribute-rgt-in_binary64_5111` `cbrt-unprod_binary64_5037` `distribute-rgt1-in_binary64_5117` `distribute-lft1-in_binary64_5116` `*-commutative_binary64_5136`

Counts

1 → 38

Calls

1 calls:

10.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify76.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5053	502

prune128.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Merged error: 0b

Counts

43 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube_binary64_5040` `pow1_binary64_5014` `add-exp-log_binary64_5032`
11×	`-un-lft-identity_binary64_5068` `associate-r*_binary64_5127` `add-sqr-sqrt_binary64_5053`
10×	`pow-prod-down_binary64_4995` `associate-l_binary64_5128` `prod-exp_binary64_5019` `cbrt-unprod_binary64_5037`
9×	`add-cube-cbrt_binary64_5039`
8×	`associate-*r/_binary64_5129`
6×	`sqrt-prod_binary64_5047`
4×	`associate-*l/_binary64_5130`
3×	`flip3-+_binary64_5066` `flip-+_binary64_5093` `add-log-exp_binary64_5033` `*-commutative_binary64_5136`
1×	`distribute-lft-in_binary64_5110` `distribute-lft-out_binary64_5112` `unswap-sqr_binary64_5096` `distribute-rgt-in_binary64_5111`

Counts

3 → 72

Calls

3 calls:

6.0ms	(*.f64 x (+.f64 x y))
8.0ms	(.f64 (.f64 x (+.f64 x y)) (sqrt.f64 2))
12.0ms	(.f64 (sqrt.f64 2) (.f64 (*.f64 x (+.f64 x y)) (sqrt.f64 2)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(*.f64 x (+.f64 x y))
44.0ms	(.f64 (.f64 x (+.f64 x y)) (sqrt.f64 2))
66.0ms	(.f64 (sqrt.f64 2) (.f64 (*.f64 x (+.f64 x y)) (sqrt.f64 2)))

simplify74.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4973	968
1	4973	968

prune416.0ms

Filtered

49 candidates to 81 candidates (-65.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	81	2	83

Merged error: 0b

Counts

83 → 2

regimes115.0ms

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	10
1	8	10

end0.0ms

sample418.0ms

Algorithm

intervals

Results

229.0ms	8000×	body	80	valid
5.0ms	169×	body	80	invalid

Details

analyze64.0ms

sample24.0ms

simplify13.0ms

prune15.0ms

localize7.0ms

rewrite15.0ms

series48.0ms

simplify108.0ms

prune149.0ms

localize8.0ms

rewrite11.0ms

series29.0ms

simplify76.0ms

prune128.0ms

localize11.0ms

rewrite30.0ms

series128.0ms

simplify74.0ms

prune416.0ms

regimes115.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample418.0ms

Profiling