Details

analyze311.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms	237×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	80	invalid

simplify307.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3907	4
13	5001	4

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0b	(+ (+ x y) y)
0.0b	(+ (+ (+ x y) y) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity` `add-log-exp`
24×	`sum-log` `distribute-lft-out`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

3 → 53

Calls

3 calls:

14.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
8.0ms	(+ (+ x y) y)
8.0ms	(+ (+ (+ x y) y) x)

series15.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
4.0ms	(+ (+ x y) y)
5.0ms	(+ (+ (+ x y) y) x)

simplify31.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	249	320
1	929	288
2	5002	270

prune61.0ms

Filtered

37 candidates to 62 candidates (-67.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	5	63

Merged error: 0.0b

Counts

63 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
0.6b	(cbrt (+ (+ (+ x y) y) x))
0.6b	(cbrt (+ (+ (+ x y) y) x))
0.6b	(cbrt (+ (+ (+ x y) y) x))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
78×	`distribute-lft-out`
70×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

20.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
7.0ms	(cbrt (+ (+ (+ x y) y) x))
9.0ms	(cbrt (+ (+ (+ x y) y) x))
7.0ms	(cbrt (+ (+ (+ x y) y) x))

series143.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
33.0ms	(cbrt (+ (+ (+ x y) y) x))
35.0ms	(cbrt (+ (+ (+ x y) y) x))
33.0ms	(cbrt (+ (+ (+ x y) y) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	304	1356
1	1020	1291
2	5002	1100

prune119.0ms

Filtered

78 candidates to 129 candidates (-65.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	129	5	134

Merged error: 0.0b

Counts

134 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)) (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)))
0.5b	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))
0.5b	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))
0.5b	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

365×	`*-un-lft-identity`
255×	`distribute-lft-out`
120×	`cbrt-prod`
41×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1` `associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 147

Calls

4 calls:

31.0ms	(* (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)) (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)))
16.0ms	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))
13.0ms	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))
13.0ms	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))

series192.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)) (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)))
43.0ms	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))
43.0ms	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))
47.0ms	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	283	2230
1	962	2137
2	5002	1677

prune127.0ms

Filtered

78 candidates to 159 candidates (-103.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	155	4	159
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	155	9	164

Merged error: 0.0b

Counts

164 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))
0.5b	(cbrt (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)))
0.5b	(cbrt (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)))
0.5b	(cbrt (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
65×	`cbrt-prod`
60×	`distribute-lft-out`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

13.0ms	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))
16.0ms	(cbrt (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)))
14.0ms	(cbrt (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)))
13.0ms	(cbrt (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)))

series205.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))
53.0ms	(cbrt (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)))
55.0ms	(cbrt (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)))
53.0ms	(cbrt (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)))

simplify73.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	223	1148
1	575	1069
2	2973	1049
3	5001	993

prune92.0ms

Filtered

63 candidates to 93 candidates (-47.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	93	9	102

Merged error: 0.0b

Counts

102 → 9

regimes267.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

analyze305.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

sample408.0ms

Algorithm

intervals

Results

200.0ms	7428×	body	80	valid
21.0ms	178×	body	1280	valid
16.0ms	170×	body	640	valid
8.0ms	115×	body	320	valid
6.0ms	38×	body	2560	valid
3.0ms	71×	body	160	valid
0.0ms	7×	body	80	invalid

Details

analyze311.0ms

sample16.0ms

simplify307.0ms

prune7.0ms

localize7.0ms

rewrite32.0ms

series15.0ms

simplify31.0ms

prune61.0ms

localize11.0ms

rewrite50.0ms

series143.0ms

simplify46.0ms

prune119.0ms

localize11.0ms

rewrite83.0ms

series192.0ms

simplify49.0ms

prune127.0ms

localize18.0ms

rewrite60.0ms

series205.0ms

simplify73.0ms

prune92.0ms

regimes267.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze305.0ms

sample408.0ms

Profiling