Details

analyze372.0ms

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	77×	body	1280	valid
6.0ms	53×	body	640	valid
3.0ms	19×	body	2560	valid
2.0ms	73×	body	80	valid
2.0ms	20×	body	320	valid
1.0ms	14×	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

prune6.0ms

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: 44.2b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (+ (* x y) z))
0.0b	(+ (* x y) z)
11.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

5.0ms	(+ 1.0 (+ (* x y) z))
4.0ms	(+ (* x y) z)
7.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ 1.0 (+ (* x y) z))
5.0ms	(+ (* x y) z)
9.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify25.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5167	604

prune86.0ms

Filtered

36 candidates to 51 candidates (-41.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	43	8	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	9	52

Merged error: 43.4b

Counts

52 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

7.9b	(cbrt (+ z (* x y)))
7.9b	(cbrt (+ z (* x y)))
7.9b	(cbrt (+ z (* x y)))
33.2b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (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 (+ z (* x y))))))

series93.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (+ z (* x y)))
26.0ms	(cbrt (+ z (* x y)))
31.0ms	(cbrt (+ z (* x y)))
9.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (cbrt (+ z (* x y))))))

simplify42.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5030	812

prune148.0ms

Filtered

53 candidates to 66 candidates (-24.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	56	10	66
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	57	18	75

Merged error: 43.3b

Counts

75 → 18

localize18.0ms

Local error

Found 4 expressions with local error:

7.9b	(cbrt (+ z (* x y)))
7.9b	(cbrt (+ z (* x y)))
7.9b	(cbrt (+ z (* x y)))
32.9b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (* (* (cbrt (cbrt (+ z (* x y)))) (cbrt (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)))
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 (cbrt (+ z (* x y)))) (cbrt (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)))
26.0ms	(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 (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y)))))) (cbrt (+ z (* x y))))))

simplify57.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4913	800
1	4913	800

prune178.0ms

Filtered

53 candidates to 66 candidates (-24.5%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	2	14	16
Picked	1	0	1
Done	0	1	1
Total	60	24	84

Merged error: 43.3b

Counts

84 → 24

localize25.0ms

Local error

Found 4 expressions with local error:

7.9b	(cbrt (+ z (* x y)))
7.9b	(cbrt (+ z (* x y)))
7.9b	(cbrt (+ z (* x y)))
32.9b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (* (* (cbrt (cbrt (+ z (* x y)))) (cbrt (cbrt (+ z (* x y))))) (cbrt (* (* (cbrt (cbrt (+ z (* x y)))) (cbrt (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y)))))))) (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:

3.0ms	(cbrt (+ z (* x y)))
3.0ms	(cbrt (+ z (* x y)))
2.0ms	(cbrt (+ z (* x y)))
6.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (* (* (cbrt (cbrt (+ z (* x y)))) (cbrt (cbrt (+ z (* x y))))) (cbrt (* (* (cbrt (cbrt (+ z (* x y)))) (cbrt (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y)))))))) (cbrt (+ z (* x y))))))

series92.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (+ z (* x y)))
29.0ms	(cbrt (+ z (* x y)))
26.0ms	(cbrt (+ z (* x y)))
10.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (* (* (cbrt (cbrt (+ z (* x y)))) (cbrt (cbrt (+ z (* x y))))) (cbrt (* (* (cbrt (cbrt (+ z (* x y)))) (cbrt (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y)))))))) (cbrt (+ z (* x y))))))

simplify70.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4911	800
1	4911	800

prune90.0ms

Filtered

53 candidates to 66 candidates (-24.5%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	2	20	22
Picked	1	0	1
Done	0	1	1
Total	66	24	90

Merged error: 43.3b

Counts

90 → 24

regimes575.0ms

Accuracy

0% (0.7b remaining)

Error of 45.0b against oracle of 44.3b and baseline of 45.0b

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

402.0ms	2653×	body	1280	valid
190.0ms	1559×	body	640	valid
109.0ms	616×	body	2560	valid
73.0ms	2122×	body	80	valid
66.0ms	698×	body	320	valid
22.0ms	352×	body	160	valid

Details

analyze372.0ms

sample37.0ms

simplify17.0ms

prune6.0ms

localize8.0ms

rewrite17.0ms

series20.0ms

simplify25.0ms

prune86.0ms

localize13.0ms

rewrite13.0ms

series93.0ms

simplify42.0ms

prune148.0ms

localize18.0ms

rewrite14.0ms

series92.0ms

simplify57.0ms

prune178.0ms

localize25.0ms

rewrite15.0ms

series92.0ms

simplify70.0ms

prune90.0ms

regimes575.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling