Details

analyze376.0ms

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

14.0ms	89×	body	1280	valid
6.0ms	47×	body	640	valid
3.0ms	16×	body	2560	valid
2.0ms	70×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	15×	body	160	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

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: 43.5b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite16.0ms

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)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* x y) z)
11.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify32.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4788	439
1	4788	439

prune67.0ms

Filtered

24 candidates to 34 candidates (-41.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	27	7	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	8	35

Merged error: 43.0b

Counts

35 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (+ z (* x y)))
7.5b	(cbrt (+ z (* x y)))
7.5b	(cbrt (+ z (* x y)))
32.5b	(- (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))))))

series92.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5030	812

prune144.0ms

Filtered

53 candidates to 66 candidates (-24.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	55	11	66
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	57	17	74

Merged error: 42.8b

Counts

74 → 17

localize18.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (+ z (* x y)))
7.5b	(cbrt (+ z (* x y)))
7.5b	(cbrt (+ z (* x y)))
32.1b	(- (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))))))

series92.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (+ z (* x y)))
27.0ms	(cbrt (+ z (* x y)))
28.0ms	(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))))))

simplify46.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4938	1432
1	4938	1432

prune200.0ms

Filtered

53 candidates to 66 candidates (-24.5%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	54	12	66
Fresh	1	14	15
Picked	1	0	1
Done	0	1	1
Total	56	27	83

Merged error: 42.8b

Counts

83 → 27

localize28.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (+ z (* x y)))
32.1b	(- (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)))))))))
32.1b	(- (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)))))))))
32.1b	(- (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)))))))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

3.0ms	(cbrt (+ z (* x y)))
7.0ms	(- (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)))))))))
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)))))))))
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 (+ z (* x y)))))))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(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)))))))))
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)))))))))
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)))))))))

simplify54.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4906	2944
1	4906	2944

prune137.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	3	22	25
Picked	1	0	1
Done	0	1	1
Total	70	27	97

Merged error: 42.8b

Counts

97 → 27

regimes676.0ms

Accuracy

0% (0.7b remaining)

Error of 44.8b against oracle of 44.1b and baseline of 44.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	12
1	70	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

400.0ms	2619×	body	1280	valid
195.0ms	1556×	body	640	valid
118.0ms	595×	body	2560	valid
78.0ms	2141×	body	80	valid
67.0ms	727×	body	320	valid
23.0ms	362×	body	160	valid

Details

analyze376.0ms

sample37.0ms

simplify17.0ms

prune7.0ms

localize8.0ms

rewrite16.0ms

series16.0ms

simplify32.0ms

prune67.0ms

localize12.0ms

rewrite14.0ms

series92.0ms

simplify41.0ms

prune144.0ms

localize18.0ms

rewrite14.0ms

series92.0ms

simplify46.0ms

prune200.0ms

localize28.0ms

rewrite22.0ms

series56.0ms

simplify54.0ms

prune137.0ms

regimes676.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling