Details

sample27.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 100%

Space saved by search: 100%

Guaranteed chance to sample good point: 0%

Results

9.0ms	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: 3.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:

9.0ms	(+ 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)))

simplify84.0ms

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

prune69.0ms

Filtered

24 candidates to 38 candidates (-58.3%)

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:

2.7b	(+ 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:

7.0ms

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

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(+ 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

prune57.0ms

Filtered

13 candidates to 20 candidates (-53.8%)

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: 2.0b

Counts

28 → 11

localize9.0ms

Local error

Found 2 expressions with local error:

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

series23.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
9.0ms	(+ 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

prune91.0ms

Filtered

24 candidates to 52 candidates (-116.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	48	15	63

Merged error: 2.0b

Counts

63 → 15

localize10.0ms

Local error

Found 2 expressions with local error:

0.9b	(log (exp (+ a (+ (+ b c) d))))
2.7b	(+ a (+ (+ b c) d))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`distribute-lft-out`
11×	`add-log-exp`
7×	`log-pow`
6×	`exp-prod` `sum-log`
4×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
3×	`pow1`
2×	`add-exp-log` `add-cbrt-cube`
1×	`+-commutative` `associate-+r+` `flip3-+` `rem-log-exp` `exp-sum` `flip-+`

Counts

2 → 36

Calls

2 calls:

10.0ms	(log (exp (+ a (+ (+ b c) d))))
7.0ms	(+ a (+ (+ b c) d))

series17.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(log (exp (+ a (+ (+ b c) d))))
8.0ms	(+ a (+ (+ b c) d))

simplify66.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	143	190
1	601	170
2	3626	170
3	5003	170

prune37.0ms

Filtered

24 candidates to 42 candidates (-75.0%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	35	7	42
Fresh	4	9	13
Picked	1	0	1
Done	0	1	1
Total	40	17	57

Merged error: 1.8b

Counts

57 → 17

regimes857.0ms

Accuracy

0% (0.9b remaining)

Error of 2.7b against oracle of 1.8b 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

sample660.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 100%

Space saved by search: 100%

Guaranteed chance to sample good point: 0%

Results

297.0ms	8000×	pre	80	true
192.0ms	8000×	body	80	valid

Details

sample27.0ms

simplify13.0ms

prune3.0ms

localize6.0ms

rewrite18.0ms

series13.0ms

simplify84.0ms

prune69.0ms

localize6.0ms

rewrite8.0ms

series8.0ms

simplify65.0ms

prune57.0ms

localize9.0ms

rewrite17.0ms

series23.0ms

simplify30.0ms

prune91.0ms

localize10.0ms

rewrite18.0ms

series17.0ms

simplify66.0ms

prune37.0ms

regimes857.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample660.0ms

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