Details

sample255.0ms

Algorithm

intervals

Results

5.0ms	68×	body	1280	valid
5.0ms	194×	body	80	valid
3.0ms	49×	body	640	valid
1.0ms	21×	body	320	valid
0.0ms	14×	body	160	valid

simplify121.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	37	4
2	103	4
3	220	4
4	387	4
5	527	4
6	803	4
7	1602	4
8	2861	4
9	4334	4
10	4807	4
11	5001	4

prune3.0ms

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: 36.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
3.8b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt`
6×	`add-cube-cbrt` `flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `frac-times` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

8.0ms	(* (+ x 1.0) (+ x 1.0))
11.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series91.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ x 1.0) (+ x 1.0))
74.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify38.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	234	303
1	999	270
2	5001	261

prune72.0ms

Filtered

61 candidates to 34 candidates (55.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	3	62

Merged error: 0.0b

Counts

62 → 3

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ 2.0 x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

5.0ms

(* x (+ 2.0 x))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* x (+ 2.0 x))

simplify76.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	123	85
1	594	76
2	2937	76
3	5001	76

prune29.0ms

Filtered

26 candidates to 16 candidates (61.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x 2.0) (pow x 2))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out` `unpow2`

Counts

1 → 12

Calls

1 calls:

5.0ms

(+ (* x 2.0) (pow x 2))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(+ (* x 2.0) (pow x 2))

simplify45.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	89	77
1	335	63
2	1146	59
3	5001	59

prune21.0ms

Filtered

15 candidates to 10 candidates (66.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	15	3	18

Merged error: 0b

Counts

18 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x))))
0.6b	(cbrt (* x (+ 2.0 x)))
0.6b	(cbrt (* x (+ 2.0 x)))
0.6b	(cbrt (* x (+ 2.0 x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
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` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x))))
4.0ms	(cbrt (* x (+ 2.0 x)))
4.0ms	(cbrt (* x (+ 2.0 x)))
4.0ms	(cbrt (* x (+ 2.0 x)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x))))
96.0ms	(cbrt (* x (+ 2.0 x)))
94.0ms	(cbrt (* x (+ 2.0 x)))
96.0ms	(cbrt (* x (+ 2.0 x)))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	356	791
1	1250	720
2	5001	676

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

regimes13.0ms

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	6	2
1	6	2

end0.0ms

sample548.0ms

Algorithm

intervals

Results

177.0ms	2289×	body	1280	valid
99.0ms	1618×	body	640	valid
98.0ms	5535×	body	80	valid
41.0ms	858×	body	320	valid
14.0ms	434×	body	160	valid