Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

328×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	3
1	28	3
2	46	3
3	47	3
4	47	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: 0.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (* x 3.0) y) y)
0.2b	(* (* x 3.0) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

7.0ms	(* (* (* x 3.0) y) y)
5.0ms	(* (* x 3.0) y)

series58.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (* (* x 3.0) y) y)
21.0ms	(* (* x 3.0) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	174	202
1	1038	159
2	5002	159

prune72.0ms

Filtered

49 candidates to 28 candidates (57.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	42	7	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	8	50

Merged error: 0.0b

Counts

50 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x (* 3.0 y)) y)
0.2b	(* x (* 3.0 y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

7.0ms	(* (* x (* 3.0 y)) y)
5.0ms	(* x (* 3.0 y))

series56.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* (* x (* 3.0 y)) y)
20.0ms	(* x (* 3.0 y))

simplify41.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	175	202
1	893	159
2	5002	159

prune58.0ms

Filtered

49 candidates to 25 candidates (51.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	49	8	57

Merged error: 0.0b

Counts

57 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
20.3b	(cbrt (* (* (* x 3.0) y) y))
20.3b	(cbrt (* (* (* x 3.0) y) y))
20.3b	(cbrt (* (* (* x 3.0) y) y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `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 → 66

Calls

4 calls:

8.0ms	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
5.0ms	(cbrt (* (* (* x 3.0) y) y))
5.0ms	(cbrt (* (* (* x 3.0) y) y))
6.0ms	(cbrt (* (* (* x 3.0) y) y))

series515.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
119.0ms	(cbrt (* (* (* x 3.0) y) y))
123.0ms	(cbrt (* (* (* x 3.0) y) y))
125.0ms	(cbrt (* (* (* x 3.0) y) y))

simplify126.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	228	581
1	749	516
2	3454	443
3	5001	437

prune197.0ms

Filtered

78 candidates to 64 candidates (82.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	78	8	86

Merged error: 0b

Counts

86 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
10.3b	(cbrt (* (* x 3.0) y))
20.3b	(cbrt (* (* (* x 3.0) y) y))
20.3b	(cbrt (* (* (* x 3.0) y) y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt y)
4.0ms	(cbrt (* (* x 3.0) y))
6.0ms	(cbrt (* (* (* x 3.0) y) y))
6.0ms	(cbrt (* (* (* x 3.0) y) y))

series574.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt y)
111.0ms	(cbrt (* (* x 3.0) y))
132.0ms	(cbrt (* (* (* x 3.0) y) y))
133.0ms	(cbrt (* (* (* x 3.0) y) y))

simplify135.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	184	301
1	387	273
2	1133	243
3	4021	243
4	5001	243

prune193.0ms

Filtered

58 candidates to 53 candidates (91.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	58	8	66

Merged error: 0b

Counts

66 → 8

regimes106.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample353.0ms

Algorithm

intervals

Results

193.0ms

10619×

body

valid