Details

analyze534.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

sample167.0ms

Algorithm

intervals

Results

10.0ms	236×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	7×	body	320	valid
1.0ms	17×	body	80	invalid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid

simplify170.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	6
1	48	6
2	160	6
3	421	6
4	984	6
5	1956	6
6	3390	6
7	5001	6

prune3.0ms

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: 0.3b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(- (/ 2.0 3.0) z)
0.1b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
7×	`add-cube-cbrt`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-r/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

11.0ms	(* (- y x) 6.0)
13.0ms	(- (/ 2.0 3.0) z)
8.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
20.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series43.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- y x) 6.0)
2.0ms	(- (/ 2.0 3.0) z)
20.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
16.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify89.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	435	616
1	2060	564
2	5001	564

prune193.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	88	9	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (* (- y x) 6.0) (neg z)))
0.0b	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
0.2b	(* (* (- y x) 6.0) (neg z))
0.3b	(* (/ 2.0 3.0) (* (- y x) 6.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
17×	`associate-*l/`
14×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
11×	`associate-r` `add-log-exp`
9×	`times-frac` `prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`flip3--` `flip--`
4×	`flip3-+` `frac-add` `sum-log` `flip-+`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`cbrt-undiv` `+-commutative` `frac-times` `associate-r/` `div-exp` `-commutative`
1×	`neg-mul-1` `associate-+l+` `unsub-neg` `div-inv`

Counts

4 → 95

Calls

4 calls:

7.0ms	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (* (- y x) 6.0) (neg z)))
3.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
8.0ms	(* (* (- y x) 6.0) (neg z))
11.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series33.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (* (- y x) 6.0) (neg z)))
5.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
8.0ms	(* (* (- y x) 6.0) (neg z))
4.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify133.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	644	890
1	3113	803
2	5003	800

prune188.0ms

Filtered

76 candidates to 107 candidates (-40.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	106	10	116

Merged error: 0.0b

Counts

116 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
0.5b	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
0.5b	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
0.5b	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

10.0ms	(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
3.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
3.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
3.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

series576.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
99.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
139.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
109.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify61.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	463	2031
1	1619	1918
2	5001	1705

prune388.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	98	11	109

Merged error: 0.0b

Counts

109 → 11

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
0.6b	(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
0.6b	(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
0.6b	(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
3.0ms	(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
3.0ms	(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
3.0ms	(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

series573.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
100.0ms	(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
271.0ms	(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
99.0ms	(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	377	1462
1	1186	1381
2	5002	1259

prune525.0ms

Filtered

69 candidates to 73 candidates (-5.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	73	11	84

Merged error: 0.0b

Counts

84 → 11

regimes654.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	10
1	25	10
2	32	10
3	32	10

end0.0ms

analyze412.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

sample680.0ms

Algorithm

intervals

Results

328.0ms	7289×	body	80	valid
40.0ms	244×	body	640	valid
34.0ms	171×	body	1280	valid
28.0ms	572×	body	80	invalid
24.0ms	193×	body	320	valid
9.0ms	103×	body	160	valid

Details

analyze534.0ms

sample167.0ms

simplify170.0ms

prune3.0ms

localize8.0ms

rewrite57.0ms

series43.0ms

simplify89.0ms

prune193.0ms

localize11.0ms

rewrite33.0ms

series33.0ms

simplify133.0ms

prune188.0ms

localize17.0ms

rewrite21.0ms

series576.0ms

simplify61.0ms

prune388.0ms

localize23.0ms

rewrite13.0ms

series573.0ms

simplify50.0ms

prune525.0ms

regimes654.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

analyze412.0ms

sample680.0ms

Profiling