Details

sample32.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 100%

Space saved by search: 100%

Guaranteed chance to sample good point: 100%

Results

10.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify13.0ms

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: 3.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ b (+ c d))
13.0ms	(+ 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:

2.8b	(+ 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))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify63.0ms

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

prune50.0ms

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: 2.1b

Counts

27 → 9

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))

series21.0ms

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 (24.0ms)

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

prune91.0ms

Filtered

25 candidates to 52 candidates (-108.0%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	47	14	61

Merged error: 2.0b

Counts

61 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))))
2.8b	(+ a (+ (+ b c) d))
2.8b	(+ a (+ (+ b c) d))
2.8b	(+ a (+ (+ b c) d))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
18×	`sum-log` `distribute-lft-out`
9×	`flip3-+` `flip-+`
8×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `frac-times` `add-cube-cbrt` `add-cbrt-cube`
3×	`+-commutative` `associate-+r+`
2×	`associate-r/` `associate-l/`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 68

Calls

4 calls:

16.0ms	(cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))))
7.0ms	(+ a (+ (+ b c) d))
7.0ms	(+ a (+ (+ b c) d))
7.0ms	(+ a (+ (+ b c) d))

series94.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))))
8.0ms	(+ a (+ (+ b c) d))
8.0ms	(+ a (+ (+ b c) d))
9.0ms	(+ a (+ (+ b c) d))

simplify35.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	264	606
1	984	568
2	5001	562

prune82.0ms

Filtered

54 candidates to 80 candidates (-48.1%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	67	13	80
Fresh	1	11	12
Picked	1	0	1
Done	0	1	1
Total	69	25	94

Merged error: 1.8b

Counts

94 → 25

regimes1.0s

Accuracy

0% (1.0b remaining)

Error of 2.8b against oracle of 1.8b 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

sample781.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 100%

Space saved by search: 100%

Guaranteed chance to sample good point: 100%

Results

301.0ms	8000×	pre	80	true
209.0ms	8000×	body	80	valid

Details

sample32.0ms

simplify13.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series18.0ms

simplify82.0ms

prune65.0ms

localize6.0ms

rewrite8.0ms

series8.0ms

simplify63.0ms

prune50.0ms

localize9.0ms

rewrite17.0ms

series21.0ms

simplify32.0ms

prune91.0ms

localize11.0ms

rewrite40.0ms

series94.0ms

simplify35.0ms

prune82.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample781.0ms

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