Details

analyze94.0ms

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

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	16×	body	80	invalid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4931	11
1	4931	11

prune8.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:

11.0ms	(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
6.0ms	(/ (- 3.0 x) (* 3.0 y))

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify21.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5197	765

prune102.0ms

Filtered

49 candidates to 69 candidates (-40.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	66	5	71

Merged error: 0b

Counts

71 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.3333333333333333 (/ x (/ y x))) (* (/ x y) 1.3333333333333333))
0.1b	(* 0.3333333333333333 (/ x (/ y x)))
0.2b	(/ x (/ y x))
0.2b	(* (/ x y) 1.3333333333333333)

rewrite46.0ms

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:

9.0ms	(- (* 0.3333333333333333 (/ x (/ y x))) (* (/ x y) 1.3333333333333333))
14.0ms	(* 0.3333333333333333 (/ x (/ y x)))
6.0ms	(/ x (/ y x))
6.0ms	(* (/ x y) 1.3333333333333333)

series19.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify66.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5000	1742

prune198.0ms

Filtered

146 candidates to 192 candidates (-31.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	192	5	197

Merged error: 0b

Counts

197 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
52×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
37×	`times-frac`
34×	`add-cbrt-cube`
29×	`add-cube-cbrt`
26×	`associate-l`
24×	`prod-exp`
20×	`div-exp`
11×	`pow1` `associate-r`
10×	`cbrt-undiv` `cbrt-unprod`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`rec-exp` `1-exp` `associate-/r` `associate-/r/` `associate-/l`
5×	`associate-*l/`
4×	`flip3--` `flip--` `div-inv` `add-log-exp`
3×	`pow-prod-down` `unswap-sqr`
2×	`frac-times` `pow-flip` `frac-2neg` `clear-num` `*-commutative`
1×	`associate-*r/` `un-div-inv` `inv-pow`

Counts

4 → 153

Calls

4 calls:

5.0ms	(/ 3.0 (- 3.0 x))
9.0ms	(* (/ 3.0 (- 3.0 x)) y)
8.0ms	(/ 1 (* (/ 3.0 (- 3.0 x)) y))
14.0ms	(* (- 1.0 x) (/ 1 (* (/ 3.0 (- 3.0 x)) y)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 3.0 (- 3.0 x))
5.0ms	(* (/ 3.0 (- 3.0 x)) y)
5.0ms	(/ 1 (* (/ 3.0 (- 3.0 x)) y))
7.0ms	(* (- 1.0 x) (/ 1 (* (/ 3.0 (- 3.0 x)) y)))

simplify37.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5343	1623

prune184.0ms

Filtered

105 candidates to 165 candidates (-57.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	165	5	170

Merged error: 0b

Counts

170 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

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:

15.0ms	(* (- 1.0 x) (* (- 3.0 x) (/ (/ 1 y) 3.0)))
17.0ms	(* (- 3.0 x) (/ (/ 1 y) 3.0))
6.0ms	(/ (/ 1 y) 3.0)

series15.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (- 1.0 x) (* (- 3.0 x) (/ (/ 1 y) 3.0)))
5.0ms	(* (- 3.0 x) (/ (/ 1 y) 3.0))
2.0ms	(/ (/ 1 y) 3.0)

simplify72.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4961	2300
1	4961	2300

prune253.0ms

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

regimes84.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	17
1	49	17

end0.0ms

sample378.0ms

Algorithm

intervals

Results

244.0ms	8000×	body	80	valid
10.0ms	332×	body	80	invalid

Details

analyze94.0ms

sample15.0ms

simplify65.0ms

prune8.0ms

localize10.0ms

rewrite20.0ms

series13.0ms

simplify21.0ms

prune102.0ms

localize10.0ms

rewrite46.0ms

series19.0ms

simplify66.0ms

prune198.0ms

localize8.0ms

rewrite42.0ms

series21.0ms

simplify37.0ms

prune184.0ms

localize8.0ms

rewrite50.0ms

series15.0ms

simplify72.0ms

prune253.0ms

regimes84.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample378.0ms

Profiling