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

sample15.0ms

Algorithm

intervals

Results

6.0ms	240×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	6×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	148	9
1	148	9

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (+ (* (+ x y) 2) z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

7.0ms

(+ x (+ (* (+ x y) 2) z))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ x (+ (* (+ x y) 2) z))

simplify40.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5297	203

prune27.0ms

Filtered

11 candidates to 17 candidates (-54.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ x (+ (* (+ x y) 2) z)))
0.4b	(cbrt (+ x (+ (* (+ x y) 2) z)))
0.4b	(cbrt (+ x (+ (* (+ x y) 2) z)))
0.5b	(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
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 → 95

Calls

4 calls:

8.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
6.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
6.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
17.0ms	(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))

series197.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
44.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
47.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
60.0ms	(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))

simplify59.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4946	1852
1	4946	1852

prune201.0ms

Filtered

82 candidates to 107 candidates (-30.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Merged error: 0.0b

Counts

111 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ (* (+ x y) 2) z))
0.0b	(sqrt (+ x (+ (* (+ x y) 2) z)))
0.0b	(sqrt (+ x (+ (* (+ x y) 2) z)))
0.3b	(* (sqrt (+ x (+ (* (+ x y) 2) z))) (sqrt (+ x (+ (* (+ x y) 2) z))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out` `add-log-exp`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+r+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 108

Calls

4 calls:

7.0ms	(+ x (+ (* (+ x y) 2) z))
6.0ms	(sqrt (+ x (+ (* (+ x y) 2) z)))
6.0ms	(sqrt (+ x (+ (* (+ x y) 2) z)))
18.0ms	(* (sqrt (+ x (+ (* (+ x y) 2) z))) (sqrt (+ x (+ (* (+ x y) 2) z))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ x (+ (* (+ x y) 2) z))
12.0ms	(sqrt (+ x (+ (* (+ x y) 2) z)))
12.0ms	(sqrt (+ x (+ (* (+ x y) 2) z)))
18.0ms	(* (sqrt (+ x (+ (* (+ x y) 2) z))) (sqrt (+ x (+ (* (+ x y) 2) z))))

simplify50.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4996	1623
1	4996	1623

prune137.0ms

Filtered

73 candidates to 120 candidates (-64.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	119	5	124

Merged error: 0.0b

Counts

124 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* 2 (+ x y)) z) (+ (* 2 (+ x y)) z))
0.0b	(- x (+ (* 2 (+ x y)) z))
14.6b	(- (* x x) (* (+ (* 2 (+ x y)) z) (+ (* 2 (+ x y)) z)))
34.4b	(/ (- (* x x) (* (+ (* 2 (+ x y)) z) (+ (* 2 (+ x y)) z))) (- x (+ (* 2 (+ x y)) z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
20×	`times-frac`
19×	`add-cube-cbrt`
13×	`difference-of-squares`
11×	`pow1` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `distribute-lft-out--`
5×	`associate-/r*`
4×	`frac-times` `flip3--` `flip--` `associate-/l*`
3×	`diff-log` `swap-sqr` `associate-r` `associate-l` `associate--r+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

14.0ms	(* (+ (* 2 (+ x y)) z) (+ (* 2 (+ x y)) z))
7.0ms	(- x (+ (* 2 (+ x y)) z))
4.0ms	(- (* x x) (* (+ (* 2 (+ x y)) z) (+ (* 2 (+ x y)) z)))
12.0ms	(/ (- (* x x) (* (+ (* 2 (+ x y)) z) (+ (* 2 (+ x y)) z))) (- x (+ (* 2 (+ x y)) z)))

series79.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ (* 2 (+ x y)) z) (+ (* 2 (+ x y)) z))
6.0ms	(- x (+ (* 2 (+ x y)) z))
30.0ms	(- (* x x) (* (+ (* 2 (+ x y)) z) (+ (* 2 (+ x y)) z)))
29.0ms	(/ (- (* x x) (* (+ (* 2 (+ x y)) z) (+ (* 2 (+ x y)) z))) (- x (+ (* 2 (+ x y)) z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5032	2416

prune159.0ms

Filtered

88 candidates to 122 candidates (-38.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	121	6	127

Merged error: 0.0b

Counts

127 → 6

regimes164.0ms

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	12	9
1	12	9

end0.0ms

analyze498.0ms

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

sample405.0ms

Algorithm

intervals

Results

191.0ms	7442×	body	80	valid
23.0ms	169×	body	640	valid
22.0ms	172×	body	1280	valid
9.0ms	122×	body	320	valid
4.0ms	29×	body	2560	valid
3.0ms	66×	body	160	valid
0.0ms	17×	body	80	invalid

Details

analyze311.0ms

sample15.0ms

simplify4.0ms

prune7.0ms

localize6.0ms

rewrite8.0ms

series6.0ms

simplify40.0ms

prune27.0ms

localize9.0ms

rewrite41.0ms

series197.0ms

simplify59.0ms

prune201.0ms

localize8.0ms

rewrite42.0ms

series49.0ms

simplify50.0ms

prune137.0ms

localize10.0ms

rewrite39.0ms

series79.0ms

simplify51.0ms

prune159.0ms

regimes164.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze498.0ms

sample405.0ms

Profiling