Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

454×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ x y))

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

(* (+ x y) (+ x y))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(* (+ x y) (+ x y))

simplify35.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	189	213
1	901	188
2	5001	170

prune41.0ms

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	(+ (* x (+ x y)) (* y (+ x y)))
0.0b	(* x (+ x y))
0.0b	(* y (+ x y))

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	(+ (* x (+ x y)) (* y (+ x y)))
6.0ms	(* x (+ x y))
6.0ms	(* y (+ x y))

series75.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (* x (+ x y)) (* y (+ x y)))
25.0ms	(* x (+ x y))
28.0ms	(* y (+ x y))

simplify57.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	349	386
1	1970	333
2	5002	331

prune98.0ms

Filtered

75 candidates to 49 candidates (65.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	74	3	77

Merged error: 0b

Counts

77 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (+ x y)) (+ (* y x) (pow y 2)))
0.0b	(* x (+ x y))
0.0b	(+ (* y x) (pow y 2))

rewrite22.0ms

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-+l+` `distribute-lft-in` `unpow2`
1×	`associate-+r+` `distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

10.0ms	(+ (* x (+ x y)) (+ (* y x) (pow y 2)))
6.0ms	(* x (+ x y))
5.0ms	(+ (* y x) (pow y 2))

series74.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (* x (+ x y)) (+ (* y x) (pow y 2)))
25.0ms	(* x (+ x y))
27.0ms	(+ (* y x) (pow y 2))

simplify56.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	372	436
1	1955	396
2	5001	363

prune100.0ms

Filtered

64 candidates to 43 candidates (67.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	64	3	67

Merged error: 0b

Counts

67 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

10.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series520.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
122.0ms	(cbrt (+ x y))
124.0ms	(cbrt (+ x y))
122.0ms	(cbrt (+ x y))

simplify139.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	246	671
1	881	634
2	4190	584
3	5001	580

prune217.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

regimes59.0ms

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

sample475.0ms

Algorithm

intervals

Results

248.0ms

14252×

body

valid