Details

analyze392.0ms

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

sample38.0ms

Algorithm

intervals

Results

14.0ms	89×	body	1280	valid
6.0ms	45×	body	640	valid
4.0ms	20×	body	2560	valid
2.0ms	25×	body	320	valid
2.0ms	66×	body	80	valid
1.0ms	11×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	12
1	38	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: 45.9b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite14.0ms

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:

3.0ms	(+ (* x y) z)
10.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* x y) z)
10.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify39.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4872	439
1	4872	439

prune58.0ms

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: 45.3b

Counts

35 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

7.2b	(cbrt (+ z (* x y)))
7.2b	(cbrt (+ z (* x y)))
7.2b	(cbrt (+ z (* x y)))
34.3b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (cbrt (+ z (* x y))))))

rewrite12.0ms

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))))))

series90.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (+ z (* x y)))
28.0ms	(cbrt (+ z (* x y)))
26.0ms	(cbrt (+ z (* x y)))
9.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (cbrt (+ z (* x y))))))

simplify35.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5705	818

prune126.0ms

Filtered

53 candidates to 66 candidates (-24.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	59	14	73

Merged error: 45.2b

Counts

73 → 14

localize20.0ms

Local error

Found 4 expressions with local error:

7.2b	(cbrt (+ z (* x y)))
7.2b	(cbrt (+ z (* x y)))
7.2b	(cbrt (+ z (* x y)))
32.6b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (* (cbrt (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y))))))))

rewrite13.0ms

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 (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y))))))))

series92.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (+ z (* x y)))
27.0ms	(cbrt (+ z (* x y)))
26.0ms	(cbrt (+ z (* x y)))
10.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (* (cbrt (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y))))))))

simplify38.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5567	1438

prune185.0ms

Filtered

53 candidates to 66 candidates (-24.5%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	54	12	66
Fresh	2	9	11
Picked	1	0	1
Done	0	2	2
Total	57	23	80

Merged error: 45.2b

Counts

80 → 23

localize22.0ms

Local error

Found 4 expressions with local error:

7.2b	(cbrt (+ z (* x y)))
7.2b	(cbrt (+ z (* x y)))
7.2b	(cbrt (+ z (* x y)))
32.6b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (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))))))))))

rewrite15.0ms

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)))
6.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (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))))))))))

series92.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (+ z (* x y)))
27.0ms	(cbrt (+ z (* x y)))
26.0ms	(cbrt (+ z (* x y)))
11.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (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))))))))))

simplify39.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5571	1758

prune104.0ms

Filtered

53 candidates to 66 candidates (-24.5%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	5	15	20
Picked	1	0	1
Done	0	2	2
Total	63	26	89

Merged error: 45.2b

Counts

89 → 26

regimes658.0ms

Accuracy

0% (0.7b remaining)

Error of 45.3b against oracle of 44.6b and baseline of 45.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	12	12

end0.0ms

analyze386.0ms

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

sample1.1s

Algorithm

intervals

Results

410.0ms	2628×	body	1280	valid
202.0ms	1615×	body	640	valid
120.0ms	632×	body	2560	valid
75.0ms	2085×	body	80	valid
69.0ms	698×	body	320	valid
22.0ms	342×	body	160	valid

Details

analyze392.0ms

sample38.0ms

simplify3.0ms

prune7.0ms

localize8.0ms

rewrite14.0ms

series15.0ms

simplify39.0ms

prune58.0ms

localize12.0ms

rewrite12.0ms

series90.0ms

simplify35.0ms

prune126.0ms

localize20.0ms

rewrite13.0ms

series92.0ms

simplify38.0ms

prune185.0ms

localize22.0ms

rewrite15.0ms

series92.0ms

simplify39.0ms

prune104.0ms

regimes658.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze386.0ms

sample1.1s

Profiling