Details

sample34.0ms

Algorithm

intervals

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	19	4
1	58	4
2	178	4
3	351	4
4	401	4
5	401	4

prune4.0ms

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: 0.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (+ e d) c)
0.3b	(+ (+ (+ (+ e d) c) b) a)
0.3b	(+ (+ (+ e d) c) b)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
19×	`sum-log` `distribute-lft-out`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

3 → 51

Calls

3 calls:

6.0ms	(+ (+ e d) c)
15.0ms	(+ (+ (+ (+ e d) c) b) a)
8.0ms	(+ (+ (+ e d) c) b)

series29.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (+ e d) c)
16.0ms	(+ (+ (+ (+ e d) c) b) a)
9.0ms	(+ (+ (+ e d) c) b)

simplify30.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	234	271
1	1006	262
2	5002	262

prune94.0ms

Filtered

60 candidates to 39 candidates (35.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	7	61

Merged error: 0b

Counts

61 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ (+ e d) (+ c b))
0.3b	(+ (+ (+ e d) (+ c b)) a)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity` `add-log-exp`
21×	`sum-log` `distribute-lft-out`
6×	`flip3-+` `flip-+`
4×	`frac-add`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `add-cbrt-cube`
1×	`associate-+r+`

Counts

2 → 45

Calls

2 calls:

8.0ms	(+ (+ e d) (+ c b))
12.0ms	(+ (+ (+ e d) (+ c b)) a)

series25.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (+ e d) (+ c b))
16.0ms	(+ (+ (+ e d) (+ c b)) a)

simplify37.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	343	314
1	1354	305
2	5001	305

prune67.0ms

Filtered

51 candidates to 31 candidates (39.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	51	7	58

Merged error: 0b

Counts

58 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ e (+ d c))
0.3b	(+ (+ (+ e (+ d c)) b) a)
0.3b	(+ (+ e (+ d c)) b)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
19×	`sum-log` `distribute-lft-out`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`
1×	`associate-+r+`

Counts

3 → 51

Calls

3 calls:

5.0ms	(+ e (+ d c))
11.0ms	(+ (+ (+ e (+ d c)) b) a)
10.0ms	(+ (+ e (+ d c)) b)

series29.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ e (+ d c))
16.0ms	(+ (+ (+ e (+ d c)) b) a)
9.0ms	(+ (+ e (+ d c)) b)

simplify29.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	244	271
1	1018	262
2	5001	262

prune67.0ms

Filtered

60 candidates to 39 candidates (35.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	60	7	67

Merged error: 0b

Counts

67 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (+ (+ e d) c) b) a)
0.3b	(+ (+ (+ e d) c) b)
0.6b	(cbrt (pow (+ (+ (+ (+ e d) c) b) a) 3))
0.7b	(pow (+ (+ (+ (+ e d) c) b) a) 3)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
56×	`distribute-lft-out`
27×	`add-log-exp`
20×	`cbrt-prod`
16×	`sum-log`
14×	`unpow-prod-down` `cube-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `associate-+l+` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 100

Calls

4 calls:

12.0ms	(+ (+ (+ (+ e d) c) b) a)
8.0ms	(+ (+ (+ e d) c) b)
14.0ms	(cbrt (pow (+ (+ (+ (+ e d) c) b) a) 3))
12.0ms	(pow (+ (+ (+ (+ e d) c) b) a) 3)

series695.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (+ (+ (+ e d) c) b) a)
9.0ms	(+ (+ (+ e d) c) b)
23.0ms	(cbrt (pow (+ (+ (+ (+ e d) c) b) a) 3))
646.0ms	(pow (+ (+ (+ (+ e d) c) b) a) 3)

simplify49.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	332	710
1	1624	682
2	5003	674

prune86.0ms

Filtered

112 candidates to 56 candidates (50.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	112	7	119

Merged error: 0b

Counts

119 → 7

regimes933.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample957.0ms

Algorithm

intervals

Results

335.0ms	8000×	pre	80	true
206.0ms	8000×	body	80	valid

Details

sample34.0ms

simplify13.0ms

prune4.0ms

localize7.0ms

rewrite30.0ms

series29.0ms

simplify30.0ms

prune94.0ms

localize7.0ms

rewrite21.0ms

series25.0ms

simplify37.0ms

prune67.0ms

localize7.0ms

rewrite28.0ms

series29.0ms

simplify29.0ms

prune67.0ms

localize11.0ms

rewrite50.0ms

series695.0ms

simplify49.0ms

prune86.0ms

regimes933.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample957.0ms

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