Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

345×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	70	3
3	90	3
4	97	3
5	97	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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 39

Calls

1 calls:

10.0ms

(* (* x y) (- 1.0 y))

series50.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(* (* x y) (- 1.0 y))

simplify31.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	202	200
1	940	173
2	5001	173

prune52.0ms

Filtered

42 candidates to 26 candidates (61.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	34	8	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	8	43

Merged error: 0.0b

Counts

43 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x y) 1.0) (* (* x y) (- y)))
0.2b	(* (* x y) (- y))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

57×	`associate-l`
32×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
23×	`associate-r`
22×	`distribute-lft-out`
14×	`add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-commutative` `unswap-sqr`
4×	`distribute-rgt-neg-in` `add-log-exp`
3×	`distribute-lft-neg-in` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `flip3-+` `unsub-neg` `sum-log` `flip-+`

Counts

2 → 75

Calls

2 calls:

40.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
9.0ms	(* (* x y) (- y))

series116.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
35.0ms	(* (* x y) (- y))

simplify63.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	331	382
1	1587	323
2	5001	318

prune109.0ms

Filtered

81 candidates to 55 candidates (67.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	75	6	81
Fresh	6	1	7
Picked	0	1	1
Done	0	0	0
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x y)) (cbrt (* x y)))
10.1b	(cbrt (* x y))
10.1b	(cbrt (* x y))
10.1b	(cbrt (* x y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

100×	`cbrt-prod`
67×	`add-sqr-sqrt`
38×	`associate-l`
36×	`associate-r`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
22×	`unswap-sqr`
17×	`swap-sqr`
11×	`pow1`
9×	`pow1/3`
8×	`*-commutative` `add-cbrt-cube`
6×	`add-exp-log`
4×	`cbrt-unprod` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 137

Calls

4 calls:

13.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
4.0ms	(cbrt (* x y))
3.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))

series308.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
72.0ms	(cbrt (* x y))
70.0ms	(cbrt (* x y))
74.0ms	(cbrt (* x y))

simplify79.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	270	936
1	952	875
2	3580	791
3	5001	760

prune424.0ms

Filtered

149 candidates to 105 candidates (70.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	148	9	157

Merged error: 0.0b

Counts

157 → 9

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x y) 1.0) (* -1 (* x (pow y 2))))
9.2b	(* x (pow y 2))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
12×	`associate-l`
11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
6×	`distribute-lft-out`
5×	`add-cube-cbrt`
4×	`pow1` `unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`prod-exp`
2×	`mul-1-neg` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `unsub-neg` `pow-prod-down` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 47

Calls

2 calls:

44.0ms	(+ (* (* x y) 1.0) (* -1 (* x (pow y 2))))
6.0ms	(* x (pow y 2))

series114.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(+ (* (* x y) 1.0) (* -1 (* x (pow y 2))))
32.0ms	(* x (pow y 2))

simplify43.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	201	269
1	927	224
2	5002	204

prune70.0ms

Filtered

53 candidates to 31 candidates (58.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	53	9	62

Merged error: 0.0b

Counts

62 → 9

regimes60.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	18	6
2	24	6
3	24	6

end0.0ms

sample361.0ms

Algorithm

intervals

Results

193.0ms

10655×

body

valid