Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample30.0ms

Algorithm

intervals

Results

14.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	185	9
1	185	9

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ c (+ b a))
0.2b	(+ e (+ d (+ c (+ b a))))
0.3b	(+ d (+ c (+ b a)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
19×	`sum-log` `distribute-lft-out`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

3 → 51

Calls

3 calls:

5.0ms	(+ c (+ b a))
10.0ms	(+ e (+ d (+ c (+ b a))))
7.0ms	(+ d (+ c (+ b a)))

series27.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ c (+ b a))
15.0ms	(+ e (+ d (+ c (+ b a))))
8.0ms	(+ d (+ c (+ b a)))

simplify35.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4837	545
1	4837	545

prune82.0ms

Filtered

38 candidates to 60 candidates (-57.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	56	6	62

Merged error: 0.0b

Counts

62 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ c (+ b a))
0.2b	(+ (+ d e) (+ c (+ b a)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity` `add-log-exp`
18×	`sum-log` `distribute-lft-out`
6×	`flip3-+` `flip-+`
4×	`frac-add`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `add-cbrt-cube`
1×	`associate-+l+`

Counts

2 → 43

Calls

2 calls:

5.0ms	(+ c (+ b a))
11.0ms	(+ (+ d e) (+ c (+ b a)))

series21.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ c (+ b a))
16.0ms	(+ (+ d e) (+ c (+ b a)))

simplify28.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4768	599
1	4768	599

prune60.0ms

Filtered

30 candidates to 49 candidates (-63.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	50	5	55

Merged error: 0b

Counts

55 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ e (+ d (cbrt (pow (+ c (+ b a)) 3))))
0.3b	(+ d (cbrt (pow (+ c (+ b a)) 3)))
0.6b	(cbrt (pow (+ c (+ b a)) 3))
0.7b	(pow (+ c (+ b a)) 3)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
16×	`cbrt-prod` `distribute-lft-out`
11×	`add-log-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `sum-log` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `associate-+r+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 83

Calls

4 calls:

13.0ms	(+ e (+ d (cbrt (pow (+ c (+ b a)) 3))))
10.0ms	(+ d (cbrt (pow (+ c (+ b a)) 3)))
6.0ms	(cbrt (pow (+ c (+ b a)) 3))
6.0ms	(pow (+ c (+ b a)) 3)

series72.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ e (+ d (cbrt (pow (+ c (+ b a)) 3))))
14.0ms	(+ d (cbrt (pow (+ c (+ b a)) 3)))
6.0ms	(cbrt (pow (+ c (+ b a)) 3))
28.0ms	(pow (+ c (+ b a)) 3)

simplify36.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4803	936
1	4803	936

prune99.0ms

Filtered

59 candidates to 95 candidates (-61.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	95	5	100

Merged error: 0b

Counts

100 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ b (+ a e))
0.2b	(+ d (+ c (+ b (+ a e))))
0.2b	(+ c (+ b (+ a e)))
3.3b	(exp (+ d (+ c (+ b (+ a e)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity` `add-log-exp`
29×	`sum-log` `distribute-lft-out`
7×	`exp-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `rem-exp-log`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`+-commutative` `associate-+r+` `flip3-+` `flip-+`
1×	`exp-sum`

Counts

4 → 71

Calls

4 calls:

6.0ms	(+ b (+ a e))
11.0ms	(+ d (+ c (+ b (+ a e))))
8.0ms	(+ c (+ b (+ a e)))
13.0ms	(exp (+ d (+ c (+ b (+ a e)))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ b (+ a e))
15.0ms	(+ d (+ c (+ b (+ a e))))
8.0ms	(+ c (+ b (+ a e)))
18.0ms	(exp (+ d (+ c (+ b (+ a e)))))

simplify32.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5082	706

prune79.0ms

Filtered

51 candidates to 83 candidates (-62.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	83	5	88

Merged error: 0b

Counts

88 → 5

regimes357.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

end0.0ms

sample753.0ms

Algorithm

intervals

Results

348.0ms	8000×	pre	80	true
208.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample30.0ms

simplify4.0ms

prune12.0ms

localize7.0ms

rewrite25.0ms

series27.0ms

simplify35.0ms

prune82.0ms

localize7.0ms

rewrite18.0ms

series21.0ms

simplify28.0ms

prune60.0ms

localize11.0ms

rewrite38.0ms

series72.0ms

simplify36.0ms

prune99.0ms

localize11.0ms

rewrite40.0ms

series46.0ms

simplify32.0ms

prune79.0ms

regimes357.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample753.0ms

Profiling