Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

497×

body

valid

simplify17.0ms

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

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	(* (+ 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))

simplify40.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (36.0ms)

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

prune49.0ms

Filtered

43 candidates to 19 candidates (44.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	3	44

Merged error: 0.0b

Counts

44 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

6.0ms	(* y (+ x y))
7.0ms	(+ (* x (+ x y)) (* y (+ x y)))

series50.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* y (+ x y))
23.0ms	(+ (* x (+ x y)) (* y (+ x y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	303	306
1	1603	257
2	5001	255

prune71.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Merged error: 0b

Counts

52 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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-+l+` `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:

9.0ms	(+ (* x (+ (+ x y) y)) (* y y))
8.0ms	(* x (+ (+ x y) y))
6.0ms	(+ (+ x y) y)

series88.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (* x (+ (+ x y) y)) (* y y))
41.0ms	(* x (+ (+ x y) y))
25.0ms	(+ (+ x y) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	252	304
1	1166	264
2	5001	243

prune73.0ms

Filtered

61 candidates to 39 candidates (63.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	61	4	65

Merged error: 0b

Counts

65 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y))))
8.5b	(cbrt (* (+ x y) (+ x y)))
8.5b	(cbrt (* (+ x y) (+ x y)))
8.5b	(cbrt (* (+ x y) (+ x y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
148×	`frac-times`
126×	`flip3-+` `flip-+`
50×	`associate-r/` `associate-l/`
12×	`add-sqr-sqrt`
11×	`pow1` `cbrt-prod`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 165

Calls

4 calls:

12.0ms	(* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y))))
7.0ms	(cbrt (* (+ x y) (+ x y)))
6.0ms	(cbrt (* (+ x y) (+ x y)))
6.0ms	(cbrt (* (+ x y) (+ x y)))

series483.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y))))
123.0ms	(cbrt (* (+ x y) (+ x y)))
118.0ms	(cbrt (* (+ x y) (+ x y)))
119.0ms	(cbrt (* (+ x y) (+ x y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	395	2824
1	1282	2753
2	5002	2710

prune274.0ms

Filtered

177 candidates to 93 candidates (52.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	177	4	181

Merged error: 0b

Counts

181 → 4

regimes74.0ms

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	11	5
1	11	5

end0.0ms

sample454.0ms

Algorithm

intervals

Results

238.0ms

14159×

body

valid