Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

351×

body

valid

simplify13.0ms

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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (* x 3.0) y) y)
0.3b	(* (* x 3.0) y)

rewrite15.0ms

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:

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

series69.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (* (* x 3.0) y) y)
28.0ms	(* (* x 3.0) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (12.0ms)

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

prune84.0ms

Filtered

49 candidates to 28 candidates (57.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	7	50

Merged error: 0.0b

Counts

50 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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

series59.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (* x (* 3.0 y)) y)
22.0ms	(* x (* 3.0 y))

simplify50.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (11.0ms)

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

prune82.0ms

Filtered

49 candidates to 25 candidates (51.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	49	7	56

Merged error: 0.0b

Counts

56 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x (* 3.0 y)) y)) (cbrt (* (* x (* 3.0 y)) y)))
18.5b	(cbrt (* (* x (* 3.0 y)) y))
18.5b	(cbrt (* (* x (* 3.0 y)) y))
18.5b	(cbrt (* (* x (* 3.0 y)) y))

rewrite28.0ms

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

series556.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (* (* x (* 3.0 y)) y)) (cbrt (* (* x (* 3.0 y)) y)))
132.0ms	(cbrt (* (* x (* 3.0 y)) y))
126.0ms	(cbrt (* (* x (* 3.0 y)) y))
130.0ms	(cbrt (* (* x (* 3.0 y)) y))

simplify117.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	229	581
1	758	516
2	3518	443
3	5002	437

prune223.0ms

Filtered

78 candidates to 64 candidates (82.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	77	8	85

Merged error: 0.0b

Counts

85 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
10.6b	(cbrt (* x (* 3.0 y)))
18.5b	(cbrt (* (* x (* 3.0 y)) y))
18.5b	(cbrt (* (* x (* 3.0 y)) y))

rewrite17.0ms

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

series554.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt y)
111.0ms	(cbrt (* x (* 3.0 y)))
129.0ms	(cbrt (* (* x (* 3.0 y)) y))
128.0ms	(cbrt (* (* x (* 3.0 y)) y))

simplify131.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	185	301
1	389	273
2	1133	243
3	4022	243
4	5001	243

prune208.0ms

Filtered

58 candidates to 53 candidates (91.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	58	8	66

Merged error: 0.0b

Counts

66 → 8

regimes105.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample388.0ms

Algorithm

intervals

Results

216.0ms

10666×

body

valid