Details

sample43.0ms

Algorithm

intervals

Results

11.0ms	256×	pre	80	true
10.0ms	256×	body	80	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	4
1	53	4
2	145	4
3	268	4
4	290	4
5	290	4

prune2.0ms

Filtered

1 candidates to 0 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: 3.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.6b	(+ 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)))

series48.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ b (+ c d))
28.0ms	(+ a (+ b (+ c d)))

simplify83.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	170	150
1	667	143
2	4074	143
3	5001	143

prune75.0ms

Filtered

38 candidates to 24 candidates (63.2%)

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: 2.2b

Counts

39 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

2.6b	(+ 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))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify67.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	112	92
1	463	85
2	3032	85
3	5002	85

prune48.0ms

Filtered

20 candidates to 13 candidates (65.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	14	6	20
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	17	10	27

Merged error: 2.0b

Counts

27 → 10

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.6b	(+ a (+ (+ b c) d))

rewrite20.0ms

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

series88.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
30.0ms	(+ a (+ (+ b c) d))

simplify32.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	210	277
1	906	275
2	5001	273

prune110.0ms

Filtered

52 candidates to 25 candidates (48.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	44	8	52
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	45	17	62

Merged error: 2.0b

Counts

62 → 17

localize13.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ (+ a (+ b c)) d) 3))
2.6b	(+ (+ a (+ b c)) d)

rewrite18.0ms

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-+l+` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 46

Calls

2 calls:

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

series86.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(cbrt (pow (+ (+ a (+ b c)) d) 3))
29.0ms	(+ (+ a (+ b c)) d)

simplify30.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	204	281
1	851	279
2	5002	273

prune78.0ms

Filtered

52 candidates to 30 candidates (57.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	2	13	15
Picked	1	0	1
Done	0	1	1
Total	51	18	69

Merged error: 1.7b

Counts

69 → 18

regimes492.0ms

Accuracy

0% (1.1b remaining)

Error of 2.7b against oracle of 1.7b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample570.0ms

Algorithm

intervals

Results

191.0ms	8000×	pre	80	true
178.0ms	8000×	body	80	valid