Details

analyze245.0ms

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
31.2%	68.6%	0.1%	8
39%	56.2%	4.8%	9
50.7%	43.7%	5.6%	10
60.3%	33.7%	6%	11
64.6%	26.5%	8.9%	12
70.5%	20.3%	9.2%	13
74.6%	16.1%	9.4%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	13×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x 2.0) (* y x))
0.0b	(+ (+ (/ x 2.0) (* y x)) z)

rewrite14.0ms

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:

6.0ms	(+ (/ x 2.0) (* y x))
8.0ms	(+ (+ (/ x 2.0) (* y x)) z)

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (/ x 2.0) (* y x))
6.0ms	(+ (+ (/ x 2.0) (* y x)) z)

simplify29.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5019	336

prune40.0ms

Filtered

24 candidates to 31 candidates (-29.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0.0b

Counts

32 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x 2.0) (* x y))
0.0b	(+ (cbrt (pow (+ (/ x 2.0) (* x y)) 3)) z)
0.2b	(pow (+ (/ x 2.0) (* x y)) 3)
36.0b	(cbrt (pow (+ (/ x 2.0) (* x y)) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`unpow-prod-down` `cube-prod` `add-log-exp`
6×	`distribute-lft-out`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `div-inv`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sum-log` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 76

Calls

4 calls:

6.0ms	(+ (/ x 2.0) (* x y))
12.0ms	(+ (cbrt (pow (+ (/ x 2.0) (* x y)) 3)) z)
8.0ms	(pow (+ (/ x 2.0) (* x y)) 3)
7.0ms	(cbrt (pow (+ (/ x 2.0) (* x y)) 3))

series24.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (/ x 2.0) (* x y))
6.0ms	(+ (cbrt (pow (+ (/ x 2.0) (* x y)) 3)) z)
7.0ms	(pow (+ (/ x 2.0) (* x y)) 3)
5.0ms	(cbrt (pow (+ (/ x 2.0) (* x y)) 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4939	1021
1	4939	1021

prune90.0ms

Filtered

55 candidates to 88 candidates (-60.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Merged error: 0.0b

Counts

91 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.1b	(pow (+ (/ x 2.0) (+ (* x y) z)) 3)
41.8b	(cbrt (pow (+ (/ x 2.0) (+ (* x y) z)) 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
14×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cube-div` `unpow-prod-down` `cube-prod`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`pow1` `add-exp-log` `cbrt-div` `frac-add` `add-cbrt-cube` `distribute-lft-out`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 67

Calls

3 calls:

4.0ms	(+ (* x y) z)
11.0ms	(pow (+ (/ x 2.0) (+ (* x y) z)) 3)
10.0ms	(cbrt (pow (+ (/ x 2.0) (+ (* x y) z)) 3))

series34.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (* x y) z)
23.0ms	(pow (+ (/ x 2.0) (+ (* x y) z)) 3)
6.0ms	(cbrt (pow (+ (/ x 2.0) (+ (* x y) z)) 3))

simplify23.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5037	1109

prune71.0ms

Filtered

44 candidates to 76 candidates (-72.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Merged error: 0.0b

Counts

79 → 3

regimes232.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample404.0ms

Algorithm

intervals

Results

227.0ms	7997×	body	80	valid
8.0ms	296×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze245.0ms

sample16.0ms

simplify3.0ms

prune6.0ms

localize6.0ms

rewrite14.0ms

series11.0ms

simplify29.0ms

prune40.0ms

localize9.0ms

rewrite35.0ms

series24.0ms

simplify47.0ms

prune90.0ms

localize10.0ms

rewrite26.0ms

series34.0ms

simplify23.0ms

prune71.0ms

regimes232.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample404.0ms

Profiling