Details

analyze2.2s

Algorithm

Search

True	Other	False	Iter
0%	99.5%	0.5%	0
0%	99.5%	0.5%	1
0%	99.5%	0.5%	2
0%	99.5%	0.5%	3
0%	99.5%	0.5%	4
0%	99.5%	0.5%	5
0%	99.5%	0.5%	6
0%	99.5%	0.5%	7
0%	99.5%	0.5%	8
0%	99.5%	0.5%	9
0%	99.5%	0.5%	10
0%	99.5%	0.5%	11
0%	99.5%	0.5%	12
0%	99.5%	0.5%	13
0%	99.5%	0.5%	14

sample84.0ms

Algorithm

intervals

Results

25.0ms	246×	body	80	invalid
21.0ms	256×	body	80	valid

simplify278.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (276.0ms)

Iter	Nodes	Cost
0	3114	29
1	3114	29

prune27.0ms

Filtered

1 candidates to 1 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: 0.8b

Counts

2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
5.0b	(* (* (* x 18.0) y) z)
6.3b	(* (* (* (* 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	(* (* x 18.0) y)
4.0ms	(* (* j 27.0) k)
7.0ms	(* (* (* x 18.0) y) z)
10.0ms	(* (* (* (* x 18.0) y) z) t)

series28.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
7.0ms	(* (* (* x 18.0) y) z)
11.0ms	(* (* (* (* x 18.0) y) z) t)

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5551	678

prune214.0ms

Filtered

52 candidates to 93 candidates (-78.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	84	9	93
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 18.0 y))
0.5b	(* (* j 27.0) k)
5.0b	(* (* x (* 18.0 y)) z)
6.3b	(* (* (* 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`
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	(* x (* 18.0 y))
4.0ms	(* (* j 27.0) k)
7.0ms	(* (* x (* 18.0 y)) z)
11.0ms	(* (* (* x (* 18.0 y)) z) t)

series25.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* x (* 18.0 y))
3.0ms	(* (* j 27.0) k)
7.0ms	(* (* x (* 18.0 y)) z)
11.0ms	(* (* (* x (* 18.0 y)) z) t)

simplify44.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5352	679

prune161.0ms

Filtered

46 candidates to 93 candidates (-102.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	93	10	103

Merged error: 0.0b

Counts

103 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
5.0b	(* (* (* x 18.0) y) z)
6.3b	(* (* (* (* x 18.0) y) z) t)

rewrite22.0ms

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:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
8.0ms	(* (* (* x 18.0) y) z)
9.0ms	(* (* (* (* x 18.0) y) z) t)

series62.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt k)
22.0ms	(cbrt k)
7.0ms	(* (* (* x 18.0) y) z)
11.0ms	(* (* (* (* x 18.0) y) z) t)

simplify34.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5019	538

prune175.0ms

Filtered

49 candidates to 79 candidates (-61.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	78	11	89

Merged error: 0.0b

Counts

89 → 11

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
5.0b	(* (* (* (cbrt x) (cbrt x)) (* 18.0 (* y (cbrt x)))) z)
6.3b	(* (* (* (* (cbrt x) (cbrt x)) (* 18.0 (* y (cbrt x)))) z) t)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

71×	`pow1` `add-exp-log`
55×	`add-cbrt-cube`
52×	`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 → 91

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
14.0ms	(* (* (* (cbrt x) (cbrt x)) (* 18.0 (* y (cbrt x)))) z)
17.0ms	(* (* (* (* (cbrt x) (cbrt x)) (* 18.0 (* y (cbrt x)))) z) t)

series72.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x)
22.0ms	(cbrt x)
10.0ms	(* (* (* (cbrt x) (cbrt x)) (* 18.0 (* y (cbrt x)))) z)
18.0ms	(* (* (* (* (cbrt x) (cbrt x)) (* 18.0 (* y (cbrt x)))) z) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4938	757
1	4938	757

prune89.0ms

Filtered

49 candidates to 103 candidates (-110.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	103	11	114

Merged error: 0.0b

Counts

114 → 11

regimes3.3s

Accuracy

78.3% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 5.3b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	204	126
1	204	126

end0.0ms

sample2.3s

Algorithm

intervals

Results

706.0ms	8083×	body	80	invalid
674.0ms	8000×	body	80	valid

Details

analyze2.2s

sample84.0ms

simplify278.0ms

prune27.0ms

localize22.0ms

rewrite29.0ms

series28.0ms

simplify47.0ms

prune214.0ms

localize22.0ms

rewrite29.0ms

series25.0ms

simplify44.0ms

prune161.0ms

localize26.0ms

rewrite22.0ms

series62.0ms

simplify34.0ms

prune175.0ms

localize26.0ms

rewrite38.0ms

series72.0ms

simplify55.0ms

prune89.0ms

regimes3.3s

bsearch1.0ms

simplify3.0ms

end0.0ms

sample2.3s

Profiling