Details

analyze341.0ms

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
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms	238×	body	80	valid
1.0ms	9×	body	320	valid
0.0ms	4×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	1×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	148	9
1	148	9

prune7.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (+ (* (+ x y) 2) z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`*-un-lft-identity` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

7.0ms

(+ x (+ (* (+ x y) 2) z))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ x (+ (* (+ x y) 2) z))

simplify37.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5080	204

prune30.0ms

Filtered

11 candidates to 17 candidates (-54.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	5	18

Merged error: 0.0b

Counts

18 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x (* (+ x y) 2)) z)
0.0b	(+ x (* (+ x y) 2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

5.0ms	(+ (+ x (* (+ x y) 2)) z)
3.0ms	(+ x (* (+ x y) 2))

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (+ x (* (+ x y) 2)) z)
5.0ms	(+ x (* (+ x y) 2))

simplify43.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5598	346

prune41.0ms

Filtered

19 candidates to 31 candidates (-63.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	31	5	36

Merged error: 0.0b

Counts

36 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (* (+ x y) 2))) (cbrt (+ x (* (+ x y) 2))))
0.6b	(cbrt (+ x (* (+ x y) 2)))
0.6b	(cbrt (+ x (* (+ x y) 2)))
0.6b	(cbrt (+ x (* (+ x y) 2)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

8.0ms	(* (cbrt (+ x (* (+ x y) 2))) (cbrt (+ x (* (+ x y) 2))))
2.0ms	(cbrt (+ x (* (+ x y) 2)))
2.0ms	(cbrt (+ x (* (+ x y) 2)))
2.0ms	(cbrt (+ x (* (+ x y) 2)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (cbrt (+ x (* (+ x y) 2))) (cbrt (+ x (* (+ x y) 2))))
33.0ms	(cbrt (+ x (* (+ x y) 2)))
31.0ms	(cbrt (+ x (* (+ x y) 2)))
32.0ms	(cbrt (+ x (* (+ x y) 2)))

simplify36.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5079	1554

prune220.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	99	5	104

Merged error: 0.0b

Counts

104 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (* (+ x y) 2)))
0.6b	(cbrt (+ x (* (+ x y) 2)))
0.6b	(cbrt (+ x (* (+ x y) 2)))
0.6b	(cbrt (+ x (* (+ x y) 2)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt (+ x (* (+ x y) 2)))
3.0ms	(cbrt (+ x (* (+ x y) 2)))
2.0ms	(cbrt (+ x (* (+ x y) 2)))
3.0ms	(cbrt (+ x (* (+ x y) 2)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (+ x (* (+ x y) 2)))
32.0ms	(cbrt (+ x (* (+ x y) 2)))
33.0ms	(cbrt (+ x (* (+ x y) 2)))
32.0ms	(cbrt (+ x (* (+ x y) 2)))

simplify27.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5103	868

prune226.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	64	5	69

Merged error: 0.0b

Counts

69 → 5

regimes156.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample406.0ms

Algorithm

intervals

Results

188.0ms	7432×	body	80	valid
21.0ms	169×	body	1280	valid
17.0ms	191×	body	640	valid
8.0ms	117×	body	320	valid
7.0ms	36×	body	2560	valid
3.0ms	55×	body	160	valid
0.0ms	10×	body	80	invalid

Details

analyze341.0ms

sample16.0ms

simplify4.0ms

prune7.0ms

localize9.0ms

rewrite8.0ms

series6.0ms

simplify37.0ms

prune30.0ms

localize6.0ms

rewrite9.0ms

series12.0ms

simplify43.0ms

prune41.0ms

localize13.0ms

rewrite18.0ms

series136.0ms

simplify36.0ms

prune220.0ms

localize15.0ms

rewrite11.0ms

series129.0ms

simplify27.0ms

prune226.0ms

regimes156.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample406.0ms

Profiling