Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

363×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	3
1	32	3
2	66	3
3	92	3
4	100	3
5	100	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))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

7.0ms	(* (* x (- x y)) 2.0)
6.0ms	(* x (- x y))

series84.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* (* x (- x y)) 2.0)
38.0ms	(* x (- x y))

simplify32.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	190	211
1	920	176
2	5002	176

prune56.0ms

Filtered

52 candidates to 30 candidates (57.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	51	3	54

Merged error: 0b

Counts

54 → 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:

7.0ms

(* x (* (- x y) 2.0))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(* x (* (- x y) 2.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	140	109
1	544	87
2	3040	87
3	5003	87

prune22.0ms

Filtered

23 candidates to 13 candidates (56.5%)

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	(* 2.0 (- (* x x) (* x y)))
0.0b	(- (* 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×	`sub-neg` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

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

series82.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* 2.0 (- (* x x) (* x y)))
36.0ms	(- (* x x) (* x y))

simplify122.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	161	228
1	741	196
2	4248	192
3	5001	192

prune54.0ms

Filtered

44 candidates to 31 candidates (70.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	44	3	47

Merged error: 0b

Counts

47 → 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)))
8.3b	(cbrt (* (* x (- x y)) 2.0))
8.3b	(cbrt (* (* x (- x y)) 2.0))
8.3b	(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:

7.0ms	(* (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))
9.0ms	(cbrt (* (* x (- x y)) 2.0))

series1.5s

Counts

4 → 12

Calls

4 calls:

355.0ms	(* (cbrt (* (* x (- x y)) 2.0)) (cbrt (* (* x (- x y)) 2.0)))
306.0ms	(cbrt (* (* x (- x y)) 2.0))
306.0ms	(cbrt (* (* x (- x y)) 2.0))
498.0ms	(cbrt (* (* x (- x y)) 2.0))

simplify119.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	232	696
1	798	631
2	4062	587
3	5001	578

prune173.0ms

Filtered

84 candidates to 67 candidates (79.8%)

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

regimes53.0ms

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	8	3
1	8	3

end0.0ms

sample483.0ms

Algorithm

intervals

Results

304.0ms

11134×

body

valid