Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify14.0ms

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

prune1.0ms

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

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (32.0ms)

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

prune38.0ms

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

localize5.0ms

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)))
5.0ms	(* b (+ a b))
6.0ms	(* a (+ a b))

series76.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (* a (+ a b)) (* b (+ a b)))
27.0ms	(* b (+ a b))
26.0ms	(* a (+ a b))

simplify57.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (52.0ms)

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

prune95.0ms

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

localize9.0ms

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))

rewrite18.0ms

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))

series78.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (pow a 2) (* a b))
22.0ms	(+ (+ (pow a 2) (* a b)) (* b (+ a b)))
25.0ms	(* b (+ a b))

simplify52.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (46.0ms)

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

prune94.0ms

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

localize9.0ms

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)))

rewrite18.0ms

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))
4.0ms	(+ (* a a) (* b (+ a (+ a b))))
7.0ms	(* b (+ a (+ a b)))

series80.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ a (+ a b))
22.0ms	(+ (* a a) (* b (+ a (+ a b))))
35.0ms	(* b (+ a (+ a b)))

simplify39.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (34.0ms)

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

prune66.0ms

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

sample416.0ms

Algorithm

intervals

Results

174.0ms	8000×	pre	80	true
116.0ms	8000×	body	80	valid