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

sample14.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5022	11

prune9.0ms

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

localize6.0ms

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))

rewrite18.0ms

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:

10.0ms	(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
6.0ms	(/ (- 3.0 x) (* 3.0 y))

series12.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify32.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5247	766

prune95.0ms

Filtered

49 candidates to 69 candidates (-40.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	65	6	71

Merged error: 0b

Counts

71 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 103

Calls

2 calls:

10.0ms	(/ (- 1 (/ x 3.0)) y)
16.0ms	(* (- 1.0 x) (/ (- 1 (/ x 3.0)) y))

series12.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify54.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5770	1399

prune132.0ms

Filtered

78 candidates to 109 candidates (-39.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	109	6	115

Merged error: 0b

Counts

115 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.3333333333333333 (/ x (/ y x))) (* (/ x y) 1.3333333333333333))
0.2b	(* 0.3333333333333333 (/ x (/ y x)))
0.2b	(/ x (/ y x))
0.3b	(* (/ x y) 1.3333333333333333)

rewrite38.0ms

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:

7.0ms	(- (* 0.3333333333333333 (/ x (/ y x))) (* (/ x y) 1.3333333333333333))
13.0ms	(* 0.3333333333333333 (/ x (/ y x)))
5.0ms	(/ x (/ y x))
6.0ms	(* (/ x y) 1.3333333333333333)

series17.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (* 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)

simplify55.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5344	1742

prune187.0ms

Filtered

146 candidates to 192 candidates (-31.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	192	6	198

Merged error: 0b

Counts

198 → 6

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

rewrite44.0ms

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:

7.0ms	(/ 3.0 (- 3.0 x))
9.0ms	(* (/ 3.0 (- 3.0 x)) y)
14.0ms	(* (- 1.0 x) (/ 1 (* (/ 3.0 (- 3.0 x)) y)))
8.0ms	(/ 1 (* (/ 3.0 (- 3.0 x)) y))

series20.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify60.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5930	1624

prune170.0ms

Filtered

105 candidates to 165 candidates (-57.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	166	5	171

Merged error: 0b

Counts

171 → 5

regimes79.0ms

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	10	11
1	10	11

end0.0ms

analyze100.0ms

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

sample371.0ms

Algorithm

intervals

Results

236.0ms	8000×	body	80	valid
9.0ms	335×	body	80	invalid

Details

analyze94.0ms

sample14.0ms

simplify42.0ms

prune9.0ms

localize6.0ms

rewrite18.0ms

series12.0ms

simplify32.0ms

prune95.0ms

localize7.0ms

rewrite30.0ms

series12.0ms

simplify54.0ms

prune132.0ms

localize12.0ms

rewrite38.0ms

series17.0ms

simplify55.0ms

prune187.0ms

localize8.0ms

rewrite44.0ms

series20.0ms

simplify60.0ms

prune170.0ms

regimes79.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze100.0ms

sample371.0ms

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