Details

sample29.0ms

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

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

series48.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ b (+ c d))
34.0ms	(+ a (+ b (+ c d)))

simplify86.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (6.0ms)

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

prune79.0ms

Filtered

38 candidates to 24 candidates (63.2%)

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: 2.3b

Counts

39 → 8

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))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify65.0ms

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

prune52.0ms

Filtered

20 candidates to 13 candidates (65.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	13	7	20
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	17	11	28

Merged error: 2.1b

Counts

28 → 11

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b	(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))
8.0ms	(+ a (+ (+ b c) d))

series84.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
28.0ms	(+ a (+ (+ b c) d))

simplify30.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (24.0ms)

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

prune101.0ms

Filtered

52 candidates to 24 candidates (46.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	47	16	63

Merged error: 2.0b

Counts

63 → 16

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b	(cbrt (pow (+ (+ a (+ b c)) d) 3))
2.8b	(+ (+ 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)

series85.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(cbrt (pow (+ (+ a (+ b c)) d) 3))
29.0ms	(+ (+ a (+ b c)) d)

simplify32.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (26.0ms)

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

prune82.0ms

Filtered

52 candidates to 30 candidates (57.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	3	11	14
Picked	1	0	1
Done	0	1	1
Total	52	16	68

Merged error: 1.7b

Counts

68 → 16

regimes445.0ms

Accuracy

0% (1.1b remaining)

Error of 2.8b against oracle of 1.7b 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

sample693.0ms

Algorithm

intervals

Results

293.0ms	8000×	pre	80	true
194.0ms	8000×	body	80	valid