Details

analyze109.0ms

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

sample27.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5022	11

prune10.0ms

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: 0.2b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
0.3b	(/ (- 3.0 x) (* 3.0 y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
15×	`*-un-lft-identity`
10×	`times-frac`
9×	`associate-r`
7×	`add-cube-cbrt`
5×	`associate-l` `prod-exp` `cbrt-unprod` `associate-/l*`
4×	`pow1` `cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
3×	`flip3--` `flip--`
2×	`frac-times` `associate-*l/` `div-inv` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

12.0ms	(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
7.0ms	(/ (- 3.0 x) (* 3.0 y))

series14.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
6.0ms	(/ (- 3.0 x) (* 3.0 y))

simplify33.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5247	766

prune102.0ms

Filtered

49 candidates to 69 candidates (-40.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	66	5	71

Merged error: 0b

Counts

71 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1 (/ x 3.0))
0.1b	(/ (- 1 (/ x 3.0)) y)
0.1b	(* (- 1.0 x) (/ (- 1 (/ x 3.0)) y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-sqr-sqrt`
65×	`times-frac`
63×	`*-un-lft-identity`
33×	`difference-of-squares`
29×	`add-cube-cbrt`
28×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
9×	`distribute-lft-out--`
8×	`associate-/l*`
5×	`pow1` `associate-l` `add-log-exp`
4×	`flip3--` `flip--`
3×	`associate-/r*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

3 → 119

Calls

3 calls:

9.0ms	(- 1 (/ x 3.0))
10.0ms	(/ (- 1 (/ x 3.0)) y)
19.0ms	(* (- 1.0 x) (/ (- 1 (/ x 3.0)) y))

series17.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(- 1 (/ x 3.0))
5.0ms	(/ (- 1 (/ x 3.0)) y)
7.0ms	(* (- 1.0 x) (/ (- 1 (/ x 3.0)) y))

simplify60.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5714	1563

prune165.0ms

Filtered

91 candidates to 128 candidates (-40.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	128	5	133

Merged error: 0b

Counts

133 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.3333333333333333 (/ x (/ y x))) (* (/ x y) 1.3333333333333333))
0.2b	(/ x (/ y x))
0.2b	(* 0.3333333333333333 (/ x (/ y x)))
0.2b	(* (/ x y) 1.3333333333333333)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

154×	`times-frac`
104×	`add-sqr-sqrt`
90×	`add-cube-cbrt` `*-un-lft-identity`
47×	`associate-r`
23×	`add-exp-log` `add-cbrt-cube`
16×	`associate-l`
13×	`associate-/r*`
10×	`div-inv`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`associate-/l*`
2×	`associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `*-commutative`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `frac-sub` `flip--`

Counts

4 → 180

Calls

4 calls:

10.0ms	(- (* 0.3333333333333333 (/ x (/ y x))) (* (/ x y) 1.3333333333333333))
11.0ms	(/ x (/ y x))
25.0ms	(* 0.3333333333333333 (/ x (/ y x)))
7.0ms	(* (/ x y) 1.3333333333333333)

series23.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* 0.3333333333333333 (/ x (/ y x))) (* (/ x y) 1.3333333333333333))
4.0ms	(/ x (/ y x))
7.0ms	(* 0.3333333333333333 (/ x (/ y x)))
3.0ms	(* (/ x y) 1.3333333333333333)

simplify57.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5344	1742

prune200.0ms

Filtered

146 candidates to 192 candidates (-31.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	192	5	197

Merged error: 0b

Counts

197 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- 1.0 x) (* (- 3.0 x) (/ (/ 1 y) 3.0)))
0.2b	(/ (/ 1 y) 3.0)
0.3b	(* (- 3.0 x) (/ (/ 1 y) 3.0))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

146×	`times-frac`
98×	`add-sqr-sqrt`
87×	`*-un-lft-identity`
82×	`add-cube-cbrt`
49×	`add-exp-log`
44×	`associate-r`
31×	`add-cbrt-cube`
18×	`frac-times` `div-exp`
16×	`prod-exp`
14×	`flip3--` `flip--`
13×	`associate-/l*`
10×	`pow1` `associate-l` `associate-*l/` `cbrt-unprod`
9×	`cbrt-undiv` `associate-*r/` `div-inv`
4×	`pow-prod-down` `unswap-sqr`
3×	`rec-exp` `1-exp` `associate-/r*` `add-log-exp`
2×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

3 → 189

Calls

3 calls:

17.0ms	(* (- 1.0 x) (* (- 3.0 x) (/ (/ 1 y) 3.0)))
6.0ms	(/ (/ 1 y) 3.0)
21.0ms	(* (- 3.0 x) (/ (/ 1 y) 3.0))

series15.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (- 1.0 x) (* (- 3.0 x) (/ (/ 1 y) 3.0)))
2.0ms	(/ (/ 1 y) 3.0)
6.0ms	(* (- 3.0 x) (/ (/ 1 y) 3.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4967	2300
1	4967	2300

prune269.0ms

Filtered

137 candidates to 198 candidates (-44.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	198	5	203

Merged error: 0b

Counts

203 → 5

regimes220.0ms

Accuracy

0% (0.1b 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	11
1	12	11

end0.0ms

analyze107.0ms

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

sample380.0ms

Algorithm

intervals

Results

244.0ms	8000×	body	80	valid
9.0ms	295×	body	80	invalid

Details

analyze109.0ms

sample27.0ms

simplify61.0ms

prune10.0ms

localize7.0ms

rewrite21.0ms

series14.0ms

simplify33.0ms

prune102.0ms

localize7.0ms

rewrite44.0ms

series17.0ms

simplify60.0ms

prune165.0ms

localize10.0ms

rewrite62.0ms

series23.0ms

simplify57.0ms

prune200.0ms

localize8.0ms

rewrite55.0ms

series15.0ms

simplify65.0ms

prune269.0ms

regimes220.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze107.0ms

sample380.0ms

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