Details

analyze6.0ms

Algorithm

Search

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

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	135	9
1	135	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: 3.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.8b	(+ a (+ b (+ c d)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify63.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4898	307
1	4898	307

prune66.0ms

Filtered

24 candidates to 38 candidates (-58.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	31	7	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	7	39

Merged error: 2.4b

Counts

39 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

2.8b	(+ a (+ (+ b c) d))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

7.0ms

(+ a (+ (+ b c) d))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(+ a (+ (+ b c) d))

simplify33.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4906	181
1	4906	181

prune30.0ms

Filtered

8 candidates to 20 candidates (-150.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	20	7	27

Merged error: 2.4b

Counts

27 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b	(+ b (+ c d))
0.6b	(cbrt (pow (+ a (+ b (+ c d))) 3))
2.8b	(+ a (+ b (+ c d)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
21×	`distribute-lft-out`
18×	`cbrt-prod`
17×	`add-log-exp`
9×	`sum-log`
6×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cube-prod`
3×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `cube-div` `cbrt-div` `associate-+r+`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

3 → 61

Calls

3 calls:

5.0ms	(+ b (+ c d))
8.0ms	(cbrt (pow (+ a (+ b (+ c d))) 3))
10.0ms	(+ a (+ b (+ c d)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ b (+ c d))
12.0ms	(cbrt (pow (+ a (+ b (+ c d))) 3))
8.0ms	(+ a (+ b (+ c d)))

simplify19.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	5055	680

prune121.0ms

Filtered

37 candidates to 70 candidates (-89.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	59	11	70
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	61	16	77

Merged error: 2.3b

Counts

77 → 16

localize9.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.8b	(+ a (+ (+ b c) d))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

8.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
7.0ms	(+ a (+ (+ b c) d))

series23.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
10.0ms	(+ a (+ (+ b c) d))

simplify32.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5186	554

prune30.0ms

Filtered

20 candidates to 52 candidates (-160.0%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	1	13	14
Picked	0	1	1
Done	0	1	1
Total	52	16	68

Merged error: 2.3b

Counts

68 → 16

regimes967.0ms

Accuracy

0% (0.5b remaining)

Error of 2.7b against oracle of 2.2b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

end0.0ms

analyze2.0ms

Algorithm

Search

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

sample657.0ms

Algorithm

intervals

Results

295.0ms	8000×	pre	80	true
189.0ms	8000×	body	80	valid

Details

analyze6.0ms

sample24.0ms

simplify4.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series13.0ms

simplify63.0ms

prune66.0ms

localize6.0ms

rewrite8.0ms

series8.0ms

simplify33.0ms

prune30.0ms

localize9.0ms

rewrite26.0ms

series25.0ms

simplify19.0ms

prune121.0ms

localize9.0ms

rewrite17.0ms

series23.0ms

simplify32.0ms

prune30.0ms

regimes967.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze2.0ms

sample657.0ms

Profiling