Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	256×	pre	80	true
0.0hr	256×	body	80	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

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

prune0.0hr

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: 3.8b

Counts

2 → 1

localize0.0hr

Local error

Found 2 expressions with local error:

0.5b	(+ b (+ c d))
2.9b	(+ a (+ b (+ c d)))

rewrite0.0hr

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:

0.0hr	(+ b (+ c d))
0.0hr	(+ a (+ b (+ c d)))

series0.0hr

Counts

2 → 6

Calls

2 calls:

0.0hr	(+ b (+ c d))
0.0hr	(+ a (+ b (+ c d)))

simplify0.0hr

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (0.0hr)

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

prune0.0hr

Filtered

38 candidates to 24 candidates (36.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	30	8	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	8	39

Merged error: 2.5b

Counts

39 → 8

localize0.0hr

Local error

Found 1 expressions with local error:

2.9b	(+ a (+ (+ b c) d))

rewrite0.0hr

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:

0.0hr

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

series0.0hr

Counts

1 → 3

Calls

1 calls:

0.0hr

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

simplify0.0hr

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (0.0hr)

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

prune0.0hr

Filtered

20 candidates to 13 candidates (35.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	13	7	20
Fresh	5	2	7
Picked	0	1	1
Done	0	0	0
Total	18	10	28

Merged error: 2.3b

Counts

28 → 10

localize0.0hr

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.9b	(+ a (+ (+ b c) d))

rewrite0.0hr

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:

0.0hr	(cbrt (pow (+ a (+ (+ b c) d)) 3))
0.0hr	(+ a (+ (+ b c) d))

series0.0hr

Counts

2 → 6

Calls

2 calls:

0.0hr	(cbrt (pow (+ a (+ (+ b c) d)) 3))
0.0hr	(+ a (+ (+ b c) d))

simplify0.0hr

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (0.0hr)

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

prune0.0hr

Filtered

52 candidates to 24 candidates (53.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	47	15	62

Merged error: 2.2b

Counts

62 → 15

localize0.0hr

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))
2.9b	(+ a (+ (+ b c) d))

rewrite0.0hr

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:

0.0hr	(cbrt (pow (+ a (+ (+ b c) d)) 3))
0.0hr	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
0.0hr	(+ a (+ (+ b c) d))

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(cbrt (pow (+ a (+ (+ b c) d)) 3))
0.0hr	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
0.0hr	(+ a (+ (+ b c) d))

simplify0.0hr

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (0.0hr)

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

prune0.0hr

Filtered

114 candidates to 36 candidates (68.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	108	6	114
Fresh	1	12	13
Picked	1	0	1
Done	0	1	1
Total	110	19	129

Merged error: 2.2b

Counts

129 → 19

regimes0.0hr

Accuracy

0% (0.8b remaining)

Error of 2.7b against oracle of 1.9b and baseline of 2.7b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	8000×	pre	80	true
0.0hr	8000×	body	80	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

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