Details

sample15.0ms

Algorithm

intervals

Results

4.0ms	256×	pre	80	true
3.0ms	256×	body	80	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	53	3
3	80	3
4	98	3
5	107	3
6	113	3
7	113	3

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

8.0ms

(* (+ a b) (+ a b))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(* (+ a b) (+ a b))

simplify38.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	189	213
1	902	188
2	5001	170

prune42.0ms

Filtered

43 candidates to 19 candidates (44.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0.0b

Counts

44 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* a (+ a b)) (* b (+ a b)))
0.0b	(* b (+ a b))
0.0b	(* a (+ a b))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*r/`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-r`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
6×	`associate-l`
5×	`add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
2×	`associate-+l+` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-out` `sum-log`

Counts

3 → 66

Calls

3 calls:

7.0ms	(+ (* a (+ a b)) (* b (+ a b)))
6.0ms	(* b (+ a b))
6.0ms	(* a (+ a b))

series81.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* a (+ a b)) (* b (+ a b)))
27.0ms	(* b (+ a b))
28.0ms	(* a (+ a b))

simplify62.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	349	386
1	1962	333
2	5001	331

prune97.0ms

Filtered

75 candidates to 49 candidates (65.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	75	2	77

Merged error: 0b

Counts

77 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow a 2) (* a b))
0.0b	(+ (+ (pow a 2) (* a b)) (* b (+ a b)))
0.0b	(* b (+ a b))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`associate-*r/`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-r` `frac-add` `sum-log`
3×	`associate-l` `distribute-lft-out`
2×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `unpow2`
1×	`associate-+l+` `distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

4.0ms	(+ (pow a 2) (* a b))
7.0ms	(+ (+ (pow a 2) (* a b)) (* b (+ a b)))
6.0ms	(* b (+ a b))

series82.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (pow a 2) (* a b))
23.0ms	(+ (+ (pow a 2) (* a b)) (* b (+ a b)))
26.0ms	(* b (+ a b))

simplify55.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	347	431
1	1845	392
2	5003	362

prune101.0ms

Filtered

64 candidates to 44 candidates (68.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	2	66

Merged error: 0b

Counts

66 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ a (+ a b))
0.0b	(+ (* a a) (* b (+ a (+ a b))))
0.0b	(* b (+ a (+ a b)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
10×	`add-log-exp`
7×	`add-sqr-sqrt`
6×	`distribute-lft-out`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-+r+` `flip3-+` `associate-l` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

5.0ms	(+ a (+ a b))
8.0ms	(+ (* a a) (* b (+ a (+ a b))))
8.0ms	(* b (+ a (+ a b)))

series88.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ a (+ a b))
23.0ms	(+ (* a a) (* b (+ a (+ a b))))
37.0ms	(* b (+ a (+ a b)))

simplify42.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	252	301
1	1187	261
2	5001	244

prune69.0ms

Filtered

61 candidates to 40 candidates (65.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	61	2	63

Merged error: 0b

Counts

63 → 2

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample348.0ms

Algorithm

intervals

Results

109.0ms	8000×	pre	80	true
106.0ms	8000×	body	80	valid

Details

sample15.0ms

simplify15.0ms

prune2.0ms

localize6.0ms

rewrite10.0ms

series15.0ms

simplify38.0ms

prune42.0ms

localize6.0ms

rewrite20.0ms

series81.0ms

simplify62.0ms

prune97.0ms

localize12.0ms

rewrite19.0ms

series82.0ms

simplify55.0ms

prune101.0ms

localize7.0ms

rewrite23.0ms

series88.0ms

simplify42.0ms

prune69.0ms

regimes21.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample348.0ms

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