Details

analyze35.0ms

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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

sample18.0ms

Algorithm

intervals

Results

5.0ms	242×	body	80	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	356	7
1	356	7

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 x y) 2.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `associate-+r-_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-sub_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 13

Calls

1 calls:

9.0ms

(+.f64 x (/.f64 (-.f64 x y) 2.0))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 (-.f64 x y) 2.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4988	157
1	4988	157

prune25.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	12	4	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	5	17

Merged error: 0.0b

Counts

17 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x 1.5) (.f64 y 0.5))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x 1.5) (*.f64 y 0.5))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(-.f64 (*.f64 x 1.5) (*.f64 y 0.5))

simplify52.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5477	151

prune19.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	14	5	19

Merged error: 0.0b

Counts

19 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

22.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
11.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
53.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
53.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
52.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5174	1558

prune140.0ms

Filtered

79 candidates to 107 candidates (-35.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	105	7	112

Merged error: 0.0b

Counts

112 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
8×	`cbrt-div_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 56

Calls

4 calls:

9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
11.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
54.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
57.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
52.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4875	856
1	4875	856

prune97.0ms

Filtered

56 candidates to 68 candidates (-21.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	68	7	75

Merged error: 0.0b

Counts

75 → 7

regimes179.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms

sample342.0ms

Algorithm

intervals

Results

165.0ms	7407×	body	80	valid
19.0ms	207×	body	1280	valid
12.0ms	161×	body	640	valid
10.0ms	89×	body	2560	valid
5.0ms	94×	body	320	valid
2.0ms	42×	body	160	valid
0.0ms	3×	body	80	invalid

Details

analyze35.0ms

sample18.0ms

simplify21.0ms

prune3.0ms

localize5.0ms

rewrite9.0ms

series6.0ms

simplify48.0ms

prune25.0ms

localize7.0ms

rewrite4.0ms

series6.0ms

simplify52.0ms

prune19.0ms

localize9.0ms

rewrite54.0ms

series218.0ms

simplify58.0ms

prune140.0ms

localize15.0ms

rewrite40.0ms

series215.0ms

simplify66.0ms

prune97.0ms

regimes179.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample342.0ms

Profiling