Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

298×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	2
1	16	2
2	18	2
3	18	2

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: 0.5b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (* x 27.0) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* (* x 27.0) y)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(* (* x 27.0) y)

simplify57.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	103	78
1	504	63
2	2462	63
3	5001	63

prune31.0ms

Filtered

23 candidates to 15 candidates (65.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	19	4	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	5	24

Merged error: 0.0b

Counts

24 → 5

localize3.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 27.0 (* x y))

rewrite5.0ms

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`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* 27.0 (* x y))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(* 27.0 (* x y))

simplify79.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	88	77
1	320	62
2	1234	62
3	3438	62
4	5002	62

prune24.0ms

Filtered

23 candidates to 13 candidates (56.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	23	5	28

Merged error: 0.0b

Counts

28 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt 27.0) (* (sqrt 27.0) (* x y)))
0.3b	(* (sqrt 27.0) (* x y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-l`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

2 → 49

Calls

2 calls:

9.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* x y)))
6.0ms	(* (sqrt 27.0) (* x y))

series124.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* x y)))
47.0ms	(* (sqrt 27.0) (* x y))

simplify98.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	162	262
1	678	210
2	3463	210
3	5001	206

prune74.0ms

Filtered

55 candidates to 32 candidates (58.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	54	6	60

Merged error: 0b

Counts

60 → 6

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (pow (sqrt 27.0) 3/2) (* x y))
0.4b	(* (sqrt (sqrt 27.0)) (* (pow (sqrt 27.0) 3/2) (* x y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
25×	`prod-exp`
19×	`associate-l`
16×	`add-cbrt-cube`
12×	`sqrt-prod`
9×	`cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
4×	`pow1` `pow-to-exp` `pow-exp`
2×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `sqr-pow`

Counts

2 → 60

Calls

2 calls:

7.0ms	(* (pow (sqrt 27.0) 3/2) (* x y))
10.0ms	(* (sqrt (sqrt 27.0)) (* (pow (sqrt 27.0) 3/2) (* x y)))

series248.0ms

Counts

2 → 6

Calls

2 calls:

167.0ms	(* (pow (sqrt 27.0) 3/2) (* x y))
81.0ms	(* (sqrt (sqrt 27.0)) (* (pow (sqrt 27.0) 3/2) (* x y)))

simplify36.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	242	468
1	989	403
2	5001	403

prune102.0ms

Filtered

66 candidates to 38 candidates (57.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	66	6	72

Merged error: 0b

Counts

72 → 6

regimes86.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample274.0ms

Algorithm

intervals

Results

136.0ms

9207×

body

valid