Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

368×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	36	3
2	58	3
3	60	3
4	60	3

prune4.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* x (+ x y)) 2.0)
0.0b	(* x (+ x y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

6.0ms	(* (* x (+ x y)) 2.0)
6.0ms	(* x (+ x y))

series69.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* (* x (+ x y)) 2.0)
30.0ms	(* x (+ x y))

simplify37.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	201	193
1	1117	164
2	5002	164

prune56.0ms

Filtered

49 candidates to 30 candidates (61.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	48	3	51

Merged error: 0b

Counts

51 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (* (+ x y) 2.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r/` `associate-*l/`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

6.0ms

(* x (* (+ x y) 2.0))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* x (* (+ x y) 2.0))

simplify83.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	148	106
1	591	87
2	3220	87
3	5002	87

prune27.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	23	3	26

Merged error: 0b

Counts

26 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* x y))
0.0b	(* 2.0 (+ (* x x) (* x y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

3.0ms	(+ (* x x) (* x y))
6.0ms	(* 2.0 (+ (* x x) (* x y)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* x x) (* x y))
45.0ms	(* 2.0 (+ (* x x) (* x y)))

simplify34.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	189	212
1	950	181
2	5002	176

prune59.0ms

Filtered

41 candidates to 31 candidates (75.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

44 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x (+ x y)) 2.0)) (cbrt (* (* x (+ x y)) 2.0)))
8.4b	(cbrt (* (* x (+ x y)) 2.0))
8.4b	(cbrt (* (* x (+ x y)) 2.0))
8.4b	(cbrt (* (* x (+ x y)) 2.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

10.0ms	(* (cbrt (* (* x (+ x y)) 2.0)) (cbrt (* (* x (+ x y)) 2.0)))
5.0ms	(cbrt (* (* x (+ x y)) 2.0))
6.0ms	(cbrt (* (* x (+ x y)) 2.0))
6.0ms	(cbrt (* (* x (+ x y)) 2.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

331.0ms	(* (cbrt (* (* x (+ x y)) 2.0)) (cbrt (* (* x (+ x y)) 2.0)))
244.0ms	(cbrt (* (* x (+ x y)) 2.0))
245.0ms	(cbrt (* (* x (+ x y)) 2.0))
240.0ms	(cbrt (* (* x (+ x y)) 2.0))

simplify110.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	213	675
1	737	610
2	3795	560
3	5001	548

prune171.0ms

Filtered

84 candidates to 63 candidates (75.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	3	87

Merged error: 0b

Counts

87 → 3

regimes54.0ms

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	9	3
1	9	3

end0.0ms

sample458.0ms

Algorithm

intervals

Results

289.0ms

11220×

body

valid