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

sample135.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify258.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (256.0ms)

Iter	Nodes	Cost
0	3114	29
1	3114	29

prune30.0ms

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: 0.6b

Counts

2 → 2

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* j 27.0) k)
0.4b	(* (* x 18.0) y)
5.3b	(* (* (* x 18.0) y) z)
5.4b	(* (* (* (* x 18.0) y) z) t)

rewrite47.0ms

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:

7.0ms	(* (* j 27.0) k)
9.0ms	(* (* x 18.0) y)
11.0ms	(* (* (* x 18.0) y) z)
15.0ms	(* (* (* (* x 18.0) y) z) t)

series40.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (* j 27.0) k)
6.0ms	(* (* x 18.0) y)
10.0ms	(* (* (* x 18.0) y) z)
18.0ms	(* (* (* (* x 18.0) y) z) t)

simplify71.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5551	678

prune179.0ms

Filtered

52 candidates to 93 candidates (-78.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	88	7	95

Merged error: 0.1b

Counts

95 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

5.4b	(* (* (* (* x 18.0) y) z) t)
9.1b	(cbrt (* j (* 27.0 k)))
9.1b	(cbrt (* j (* 27.0 k)))
9.1b	(cbrt (* j (* 27.0 k)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 51

Calls

4 calls:

9.0ms	(* (* (* (* x 18.0) y) z) t)
3.0ms	(cbrt (* j (* 27.0 k)))
3.0ms	(cbrt (* j (* 27.0 k)))
3.0ms	(cbrt (* j (* 27.0 k)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (* (* (* x 18.0) y) z) t)
16.0ms	(cbrt (* j (* 27.0 k)))
18.0ms	(cbrt (* j (* 27.0 k)))
16.0ms	(cbrt (* j (* 27.0 k)))

simplify65.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5084	500

prune185.0ms

Filtered

42 candidates to 63 candidates (-50.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	62	8	70

Merged error: 0.0b

Counts

70 → 8

localize32.0ms

Local error

Found 4 expressions with local error:

5.3b	(* (* (* x 18.0) y) z)
5.4b	(* (* (* (* x 18.0) y) z) t)
9.1b	(cbrt (* j (* 27.0 k)))
9.1b	(cbrt (* j (* 27.0 k)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

6.0ms	(* (* (* x 18.0) y) z)
9.0ms	(* (* (* (* x 18.0) y) z) t)
3.0ms	(cbrt (* j (* 27.0 k)))
3.0ms	(cbrt (* j (* 27.0 k)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (* (* x 18.0) y) z)
10.0ms	(* (* (* (* x 18.0) y) z) t)
20.0ms	(cbrt (* j (* 27.0 k)))
16.0ms	(cbrt (* j (* 27.0 k)))

simplify48.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4955	598
1	4955	598

prune194.0ms

Filtered

47 candidates to 75 candidates (-59.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	74	9	83

Merged error: 0.0b

Counts

83 → 9

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* 27.0 k))
5.3b	(* (* (* x 18.0) y) z)
5.4b	(* (* (* (* x 18.0) y) z) t)
9.1b	(cbrt (* j (* 27.0 k)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt (* 27.0 k))
6.0ms	(* (* (* x 18.0) y) z)
9.0ms	(* (* (* (* x 18.0) y) z) t)
3.0ms	(cbrt (* j (* 27.0 k)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt (* 27.0 k))
11.0ms	(* (* (* x 18.0) y) z)
10.0ms	(* (* (* (* x 18.0) y) z) t)
16.0ms	(cbrt (* j (* 27.0 k)))

simplify42.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5327	580

prune149.0ms

Filtered

48 candidates to 75 candidates (-56.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	7	7
Picked	0	1	1
Done	1	0	1
Total	75	9	84

Merged error: 0.0b

Counts

84 → 9

regimes7.9s

Accuracy

78.7% (1.3b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 6.1b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	333	135
1	333	135

end0.0ms

sample4.3s

Algorithm

intervals

Results

625.0ms

8000×

body

valid

Details

analyze2.2s

sample135.0ms

simplify258.0ms

prune30.0ms

localize41.0ms

rewrite47.0ms

series40.0ms

simplify71.0ms

prune179.0ms

localize26.0ms

rewrite20.0ms

series60.0ms

simplify65.0ms

prune185.0ms

localize32.0ms

rewrite24.0ms

series53.0ms

simplify48.0ms

prune194.0ms

localize32.0ms

rewrite23.0ms

series61.0ms

simplify42.0ms

prune149.0ms

regimes7.9s

bsearch1.0ms

simplify4.0ms

end0.0ms

sample4.3s

Profiling