Details

analyze391.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
26.5%	73.3%	0.1%	8
33.5%	66.3%	0.1%	9
49.1%	50.7%	0.1%	10
56.9%	42.9%	0.1%	11
60.8%	39%	0.1%	12
69%	30.9%	0.1%	13
72.5%	27.3%	0.1%	14

sample37.0ms

Algorithm

intervals

Results

13.0ms	86×	body	1280	valid
5.0ms	46×	body	640	valid
5.0ms	29×	body	2560	valid
2.0ms	68×	body	80	valid
2.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	522	12
1	522	12

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 44.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.6b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sum-log`
3×	`diff-log`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 28

Calls

2 calls:

7.0ms	(+ (* x y) z)
8.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* x y) z)
9.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify31.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4788	439
1	4788	439

prune57.0ms

Filtered

24 candidates to 34 candidates (-41.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	7	35

Merged error: 44.1b

Counts

35 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

10.5b	(cbrt (+ z (* x y)))
10.5b	(cbrt (+ z (* x y)))
10.5b	(cbrt (+ z (* x y)))
33.5b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (cbrt (+ z (* x y))))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`diff-log`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 54

Calls

4 calls:

2.0ms	(cbrt (+ z (* x y)))
2.0ms	(cbrt (+ z (* x y)))
2.0ms	(cbrt (+ z (* x y)))
5.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (cbrt (+ z (* x y))))))

series93.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (+ z (* x y)))
29.0ms	(cbrt (+ z (* x y)))
27.0ms	(cbrt (+ z (* x y)))
10.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (cbrt (+ z (* x y))))))

simplify42.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5030	812

prune145.0ms

Filtered

53 candidates to 66 candidates (-24.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	54	12	66
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	56	17	73

Merged error: 44.0b

Counts

73 → 17

localize18.0ms

Local error

Found 4 expressions with local error:

10.5b	(cbrt (+ z (* x y)))
10.5b	(cbrt (+ z (* x y)))
10.5b	(cbrt (+ z (* x y)))
34.2b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (* (cbrt (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y)))))) (cbrt (+ z (* x y))))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`diff-log`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 54

Calls

4 calls:

3.0ms	(cbrt (+ z (* x y)))
3.0ms	(cbrt (+ z (* x y)))
2.0ms	(cbrt (+ z (* x y)))
5.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (* (cbrt (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y)))))) (cbrt (+ z (* x y))))))

series93.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (+ z (* x y)))
27.0ms	(cbrt (+ z (* x y)))
29.0ms	(cbrt (+ z (* x y)))
10.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (* (cbrt (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y)))))) (cbrt (+ z (* x y))))))

simplify45.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4938	1432
1	4938	1432

prune196.0ms

Filtered

53 candidates to 66 candidates (-24.5%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	53	13	66
Fresh	4	11	15
Picked	1	0	1
Done	0	1	1
Total	58	25	83

Merged error: 44.0b

Counts

83 → 25

localize22.0ms

Local error

Found 4 expressions with local error:

10.5b	(cbrt (+ z (* x y)))
10.5b	(cbrt (+ z (* x y)))
10.5b	(cbrt (+ z (* x y)))
34.2b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (* (cbrt (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y))))) (cbrt (* (cbrt (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y)))))))) (cbrt (+ z (* x y))))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`diff-log`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 54

Calls

4 calls:

3.0ms	(cbrt (+ z (* x y)))
3.0ms	(cbrt (+ z (* x y)))
2.0ms	(cbrt (+ z (* x y)))
5.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (* (cbrt (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y))))) (cbrt (* (cbrt (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y)))))))) (cbrt (+ z (* x y))))))

series95.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (+ z (* x y)))
27.0ms	(cbrt (+ z (* x y)))
29.0ms	(cbrt (+ z (* x y)))
11.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (* (cbrt (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y))))) (cbrt (* (cbrt (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y)))))))) (cbrt (+ z (* x y))))))

simplify47.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4942	1752
1	4942	1752

prune95.0ms

Filtered

53 candidates to 66 candidates (-24.5%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	59	7	66
Fresh	5	18	23
Picked	1	0	1
Done	0	1	1
Total	65	26	91

Merged error: 44.0b

Counts

91 → 26

regimes640.0ms

Accuracy

0% (0.7b remaining)

Error of 45.6b against oracle of 44.9b and baseline of 45.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	12
1	70	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

396.0ms	2634×	body	1280	valid
194.0ms	1661×	body	640	valid
107.0ms	588×	body	2560	valid
69.0ms	2010×	body	80	valid
67.0ms	753×	body	320	valid
21.0ms	354×	body	160	valid

Details

analyze391.0ms

sample37.0ms

simplify17.0ms

prune7.0ms

localize8.0ms

rewrite15.0ms

series15.0ms

simplify31.0ms

prune57.0ms

localize12.0ms

rewrite14.0ms

series93.0ms

simplify42.0ms

prune145.0ms

localize18.0ms

rewrite14.0ms

series93.0ms

simplify45.0ms

prune196.0ms

localize22.0ms

rewrite14.0ms

series95.0ms

simplify47.0ms

prune95.0ms

regimes640.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling