Details

analyze71.0ms

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
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

sample25.0ms

Algorithm

intervals

Results

11.0ms	239×	body	80	valid
2.0ms	3×	body	1280	valid
2.0ms	5×	body	640	valid
1.0ms	4×	body	320	valid
1.0ms	5×	body	160	valid
0.0ms	3×	body	80	invalid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5973	9

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.3b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.5b	(log (+ 1.0 (exp x)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`log-prod` `*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `log-div` `associate--l+`
3×	`pow1` `add-exp-log` `add-log-exp`
2×	`associate--l-` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

2 → 32

Calls

2 calls:

6.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(log (+ 1.0 (exp x)))

series23.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (log (+ 1.0 (exp x))) (* x y))
10.0ms	(log (+ 1.0 (exp x)))

simplify40.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5072	405

prune68.0ms

Filtered

28 candidates to 38 candidates (-35.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	34	4	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	4	39

Merged error: 0b

Counts

39 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.5b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
3.4b	(- (exp x) 1.0)
3.9b	(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `log-prod`
10×	`add-cube-cbrt`
7×	`pow1` `unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`log-div` `pow-pow`
3×	`pow-unpow` `exp-prod`
2×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `sum-cubes` `flip--` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

3.0ms	(pow (exp x) 3)
11.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.0ms	(- (exp x) 1.0)
4.0ms	(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

series44.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (exp x) 3)
16.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
2.0ms	(- (exp x) 1.0)
22.0ms	(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5002	829

prune163.0ms

Filtered

57 candidates to 85 candidates (-49.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp x)))
0.0b	(sqrt (+ 1.0 (exp x)))
1.2b	(log (sqrt (+ 1.0 (exp x))))
1.2b	(log (sqrt (+ 1.0 (exp x))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 (exp x)))
3.0ms	(sqrt (+ 1.0 (exp x)))
4.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series34.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (+ 1.0 (exp x)))
4.0ms	(sqrt (+ 1.0 (exp x)))
13.0ms	(log (sqrt (+ 1.0 (exp x))))
13.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify36.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5046	760

prune144.0ms

Filtered

56 candidates to 84 candidates (-50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.5b	(log (+ 1.0 (exp x)))
0.7b	(pow (- (log (+ 1.0 (exp x))) (* x y)) 3)
13.0b	(cbrt (pow (- (log (+ 1.0 (exp x))) (* x y)) 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`log-prod`
6×	`pow1` `add-exp-log` `unpow-prod-down` `cube-prod`
5×	`add-cbrt-cube` `add-log-exp`
4×	`cube-div` `log-div` `associate--l+`
3×	`pow-unpow` `flip3--` `flip--`
2×	`associate--l-` `cube-mult` `cbrt-div` `flip3-+` `unpow3` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `rem-log-exp` `pow-exp` `log-pow` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 80

Calls

4 calls:

6.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(log (+ 1.0 (exp x)))
4.0ms	(pow (- (log (+ 1.0 (exp x))) (* x y)) 3)
4.0ms	(cbrt (pow (- (log (+ 1.0 (exp x))) (* x y)) 3))

series52.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (log (+ 1.0 (exp x))) (* x y))
10.0ms	(log (+ 1.0 (exp x)))
23.0ms	(pow (- (log (+ 1.0 (exp x))) (* x y)) 3)
9.0ms	(cbrt (pow (- (log (+ 1.0 (exp x))) (* x y)) 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4941	1232
1	4941	1232

prune121.0ms

Filtered

58 candidates to 92 candidates (-58.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	92	4	96

Merged error: 0b

Counts

96 → 4

regimes145.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	26
1	63	26

end0.0ms

sample682.0ms

Algorithm

intervals

Results

343.0ms	7335×	body	80	valid
76.0ms	248×	body	640	valid
63.0ms	112×	body	1280	valid
37.0ms	196×	body	320	valid
12.0ms	109×	body	160	valid
3.0ms	49×	body	80	invalid
0.0ms	7×	body	80	overflowed

Details

analyze71.0ms

sample25.0ms

simplify78.0ms

prune3.0ms

localize8.0ms

rewrite10.0ms

series23.0ms

simplify40.0ms

prune68.0ms

localize17.0ms

rewrite25.0ms

series44.0ms

simplify57.0ms

prune163.0ms

localize10.0ms

rewrite17.0ms

series34.0ms

simplify36.0ms

prune144.0ms

localize11.0ms

rewrite19.0ms

series52.0ms

simplify48.0ms

prune121.0ms

regimes145.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample682.0ms

Profiling