Details

sample30.0ms

Algorithm

intervals

Results

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

simplify14.0ms

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

prune3.0ms

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: 3.8b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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

simplify88.0ms

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

prune68.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

2.9b	(+ 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))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify67.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (5.0ms)

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

prune53.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.9b	(+ 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))
8.0ms	(+ a (+ (+ b c) d))

series20.0ms

Counts

2 → 6

Calls

2 calls:

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

prune95.0ms

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

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

rewrite37.0ms

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:

10.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
14.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
8.0ms	(+ a (+ (+ b c) d))

series33.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
13.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
8.0ms	(+ a (+ (+ b c) d))

simplify40.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (28.0ms)

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

prune67.0ms

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

regimes833.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample1.0s

Algorithm

intervals

Results

291.0ms	8000×	pre	80	true
185.0ms	8000×	body	80	valid

Details

sample30.0ms

simplify14.0ms

prune3.0ms

localize7.0ms

rewrite14.0ms

series13.0ms

simplify88.0ms

prune68.0ms

localize7.0ms

rewrite8.0ms

series9.0ms

simplify67.0ms

prune53.0ms

localize10.0ms

rewrite17.0ms

series20.0ms

simplify32.0ms

prune95.0ms

localize12.0ms

rewrite37.0ms

series33.0ms

simplify40.0ms

prune67.0ms

regimes833.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

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