Details

analyze3.0ms

Algorithm

sampling

Space saved by range analysis: 100%

Space saved by search: 100%

Guaranteed chance to sample good point: 100%

sample25.0ms

Algorithm

intervals

Results

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

simplify18.0ms

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

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: 3.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.7b	(+ 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:

6.0ms	(+ b (+ c d))
8.0ms	(+ a (+ b (+ c d)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ b (+ c d))
9.0ms	(+ a (+ b (+ c d)))

simplify82.0ms

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

prune65.0ms

Filtered

24 candidates to 38 candidates (-58.3%)

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: 2.3b

Counts

39 → 7

localize6.0ms

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))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify66.0ms

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

prune51.0ms

Filtered

13 candidates to 20 candidates (-53.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	14	6	20
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	18	9	27

Merged error: 2.0b

Counts

27 → 9

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

11.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
8.0ms	(+ a (+ (+ b c) d))

series22.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
9.0ms	(+ 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

prune100.0ms

Filtered

25 candidates to 52 candidates (-108.0%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	44	8	52
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	45	16	61

Merged error: 2.0b

Counts

61 → 16

localize16.0ms

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))

rewrite36.0ms

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))
13.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
9.0ms	(+ a (+ (+ b c) d))

series34.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (26.0ms)

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

prune69.0ms

Filtered

36 candidates to 114 candidates (-216.7%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	108	6	114
Fresh	2	11	13
Picked	1	0	1
Done	0	2	2
Total	111	19	130

Merged error: 1.9b

Counts

130 → 19

regimes854.0ms

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

analyze2.0ms

Algorithm

sampling

Space saved by range analysis: 100%

Space saved by search: 100%

Guaranteed chance to sample good point: 100%

sample663.0ms

Algorithm

intervals

Results

290.0ms	8000×	pre	80	true
203.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample25.0ms

simplify18.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series13.0ms

simplify82.0ms

prune65.0ms

localize6.0ms

rewrite8.0ms

series9.0ms

simplify66.0ms

prune51.0ms

localize10.0ms

rewrite21.0ms

series22.0ms

simplify32.0ms

prune100.0ms

localize16.0ms

rewrite36.0ms

series34.0ms

simplify41.0ms

prune69.0ms

regimes854.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze2.0ms

sample663.0ms

Profiling