Details

analyze66.0ms

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

sample12.0ms

Algorithm

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	364	10
1	364	10

prune3.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`sub-neg_binary64` `associate-r_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 48

Calls

2 calls:

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

series115.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(.f64 2 (.f64 x (-.f64 x y)))
47.0ms	(*.f64 x (-.f64 x y))

simplify62.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4908	579
1	4908	579

prune25.0ms

Filtered

33 candidates to 54 candidates (-63.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	3	55

Merged error: 0b

Counts

55 → 3

localize7.0ms

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)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
11×	`*-un-lft-identity_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×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

3 → 73

Calls

3 calls:

7.0ms	(*.f64 x (-.f64 x y))
9.0ms	(.f64 (.f64 x (-.f64 x y)) (sqrt.f64 2))
15.0ms	(.f64 (sqrt.f64 2) (.f64 (*.f64 x (-.f64 x y)) (sqrt.f64 2)))

series270.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(*.f64 x (-.f64 x y))
90.0ms	(.f64 (.f64 x (-.f64 x y)) (sqrt.f64 2))
135.0ms	(.f64 (sqrt.f64 2) (.f64 (*.f64 x (-.f64 x y)) (sqrt.f64 2)))

simplify60.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4958	975
1	4958	975

prune42.0ms

Filtered

49 candidates to 82 candidates (-67.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	83	2	85

Merged error: 0b

Counts

85 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series606.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
147.0ms	(cbrt.f64 x)
147.0ms	(cbrt.f64 x)
147.0ms	(cbrt.f64 x)

simplify63.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4935	588
1	4935	588

prune64.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Merged error: 0b

Counts

87 → 2

regimes17.0ms

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	19	10
1	19	10

end0.0ms

sample336.0ms

Algorithm

intervals

Results

199.0ms	8000×	body	128	valid
4.0ms	149×	body	128	invalid

Details

analyze66.0ms

sample12.0ms

simplify22.0ms

prune3.0ms

localize5.0ms

rewrite18.0ms

series115.0ms

simplify62.0ms

prune25.0ms

localize7.0ms

rewrite37.0ms

series270.0ms

simplify60.0ms

prune42.0ms

localize11.0ms

rewrite16.0ms

series606.0ms

simplify63.0ms

prune64.0ms

regimes17.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample336.0ms

Profiling