Details

sample77.0ms

Algorithm

intervals

Results

41.0ms

526×

body

valid

simplify141.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 5.4b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.3b	(* (* x 18.0) y)
5.2b	(* (* (* x 18.0) y) z)
6.5b	(* (* (* (* x 18.0) y) z) t)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (* j 27.0) k)
5.0ms	(* (* x 18.0) y)
7.0ms	(* (* (* x 18.0) y) z)
9.0ms	(* (* (* (* x 18.0) y) z) t)

series105.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (* j 27.0) k)
19.0ms	(* (* x 18.0) y)
28.0ms	(* (* (* x 18.0) y) z)
41.0ms	(* (* (* (* x 18.0) y) z) t)

simplify65.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	360	423
1	2141	320
2	5001	320

prune264.0ms

Filtered

93 candidates to 46 candidates (49.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	85	8	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	8	94

Merged error: 1.2b

Counts

94 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.3b	(* (* x 18.0) y)
5.2b	(* (* (* x 18.0) y) z)
6.5b	(* (* (* (* x 18.0) y) z) t)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* j (* 27.0 k))
5.0ms	(* (* x 18.0) y)
7.0ms	(* (* (* x 18.0) y) z)
12.0ms	(* (* (* (* x 18.0) y) z) t)

series106.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* j (* 27.0 k))
19.0ms	(* (* x 18.0) y)
29.0ms	(* (* (* x 18.0) y) z)
42.0ms	(* (* (* (* x 18.0) y) z) t)

simplify65.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	352	422
1	2030	319
2	5002	319

prune249.0ms

Filtered

93 candidates to 46 candidates (49.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	92	9	101

Merged error: 1.2b

Counts

101 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt t) (cbrt t))
0.6b	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
5.2b	(* (* (* x 18.0) y) z)
6.1b	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

94×	`pow1`
89×	`add-exp-log`
65×	`pow-prod-down`
64×	`prod-exp` `cbrt-unprod`
62×	`add-cbrt-cube`
23×	`add-sqr-sqrt`
19×	`cbrt-prod`
16×	`associate-r`
15×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l`
6×	`pow1/3` `swap-sqr`
4×	`*-commutative` `add-log-exp` `unswap-sqr`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 137

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
18.0ms	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
7.0ms	(* (* (* x 18.0) y) z)
14.0ms	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))

series443.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt t) (cbrt t))
70.0ms	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
25.0ms	(* (* (* x 18.0) y) z)
141.0ms	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))

simplify100.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	477	1183
1	2777	856
2	5001	778

prune436.0ms

Filtered

149 candidates to 69 candidates (46.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	149	9	158

Merged error: 1.2b

Counts

158 → 9

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt j)
0.6b	(cbrt j)
5.2b	(* (* (* x 18.0) y) z)
6.5b	(* (* (* (* x 18.0) y) z) t)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 67

Calls

4 calls:

2.0ms	(cbrt j)
2.0ms	(cbrt j)
12.0ms	(* (* (* x 18.0) y) z)
18.0ms	(* (* (* (* x 18.0) y) z) t)

series465.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt j)
184.0ms	(cbrt j)
33.0ms	(* (* (* x 18.0) y) z)
69.0ms	(* (* (* (* x 18.0) y) z) t)

simplify60.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	271	357
1	1483	278
2	5001	274

prune284.0ms

Filtered

79 candidates to 48 candidates (60.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	78	10	88

Merged error: 1.2b

Counts

88 → 10

regimes1.3s

Accuracy

49.5% (2.5b remaining)

Error of 3.2b against oracle of 0.7b and baseline of 5.6b

bsearch3.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	65
1	72	65
2	78	65
3	78	65

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

16016×

body

valid