Details

sample37.0ms

Algorithm

intervals

Results

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

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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))
2.7b	(+ a (+ b (+ c d)))

rewrite18.0ms

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:

9.0ms	(+ b (+ c d))
8.0ms	(+ a (+ b (+ c d)))

series51.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ b (+ c d))
34.0ms	(+ a (+ b (+ c d)))

simplify80.0ms

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

prune109.0ms

Filtered

38 candidates to 24 candidates (36.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	32	6	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	6	39

Merged error: 2.3b

Counts

39 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

2.7b	(+ 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:

8.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify62.0ms

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

prune67.0ms

Filtered

20 candidates to 13 candidates (35.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	15	5	20
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	18	8	26

Merged error: 2.0b

Counts

26 → 8

localize14.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.7b	(+ 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-+r+` `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))

series103.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
34.0ms	(+ a (+ (+ b c) d))

simplify29.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (23.0ms)

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

prune147.0ms

Filtered

52 candidates to 26 candidates (50.0%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	47	13	60

Merged error: 1.9b

Counts

60 → 13

localize12.0ms

Local error

Found 3 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
0.6b	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
2.7b	(+ a (+ (+ b c) d))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-prod`
78×	`*-un-lft-identity`
42×	`distribute-lft-out`
39×	`unpow-prod-down` `cube-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`add-log-exp`
6×	`cube-div` `cbrt-div` `sum-log`
4×	`cube-mult` `unpow3` `sqr-pow`
3×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`pow1/3` `rem-cbrt-cube`
1×	`+-commutative` `associate-+r+`

Counts

3 → 105

Calls

3 calls:

9.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
17.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
8.0ms	(+ a (+ (+ b c) d))

series177.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
71.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
34.0ms	(+ a (+ (+ b c) d))

simplify39.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	342	702
1	1021	698
2	5002	694

prune157.0ms

Filtered

114 candidates to 38 candidates (66.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	108	6	114
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	110	17	127

Merged error: 1.9b

Counts

127 → 17

regimes939.0ms

Accuracy

0% (0.8b remaining)

Error of 2.8b against oracle of 2.0b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample859.0ms

Algorithm

intervals

Results

292.0ms	8000×	pre	80	true
194.0ms	8000×	body	80	valid

Details

sample37.0ms

simplify12.0ms

prune4.0ms

localize6.0ms

rewrite18.0ms

series51.0ms

simplify80.0ms

prune109.0ms

localize7.0ms

rewrite8.0ms

series34.0ms

simplify62.0ms

prune67.0ms

localize14.0ms

rewrite18.0ms

series103.0ms

simplify29.0ms

prune147.0ms

localize12.0ms

rewrite38.0ms

series177.0ms

simplify39.0ms

prune157.0ms

regimes939.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample859.0ms

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