Details

analyze908.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
14%	83.4%	2.5%	11
18.7%	78.2%	3.1%	12
28.1%	65.5%	6.4%	13
30.7%	59.4%	9.9%	14

sample37.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
8.0ms	192×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	48	15
1	48	15

prune12.0ms

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: 21.5b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

2.5b	(* x (/ x (* y y)))
3.7b	(* z (/ z (* t t)))
8.9b	(/ x (* y y))
11.1b	(/ z (* t t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
22×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-r*`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1` `cbrt-undiv` `div-exp`
6×	`associate-l` `associate-/l*`
4×	`div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

4 → 98

Calls

4 calls:

7.0ms	(* x (/ x (* y y)))
7.0ms	(* z (/ z (* t t)))
4.0ms	(/ x (* y y))
5.0ms	(/ z (* t t))

series21.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* x (/ x (* y y)))
5.0ms	(* z (/ z (* t t)))
5.0ms	(/ x (* y y))
5.0ms	(/ z (* t t))

simplify43.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5090	716

prune175.0ms

Filtered

68 candidates to 110 candidates (-61.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	94	16	110
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	95	17	112

Merged error: 1.3b

Counts

112 → 17

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (/ x (* y y))) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))
2.5b	(* x (/ x (* y y)))
8.9b	(/ x (* y y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
47×	`times-frac`
37×	`add-cube-cbrt` `*-un-lft-identity`
30×	`add-exp-log` `add-cbrt-cube`
20×	`associate-r`
16×	`associate-l`
13×	`pow1` `swap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`cbrt-undiv` `div-exp`
6×	`associate-*r/` `div-inv` `add-log-exp` `unswap-sqr`
3×	`frac-add` `associate-/l*`
2×	`frac-times` `pow-prod-down` `associate-l/` `-commutative`
1×	`+-commutative` `pow2` `frac-2neg` `flip3-+` `pow-plus` `clear-num` `associate-/r*` `sum-log` `pow-sqr` `pow-prod-up` `flip-+`

Counts

4 → 130

Calls

4 calls:

6.0ms	(+ (* x (/ x (* y y))) (* (/ z t) (/ z t)))
10.0ms	(* (/ z t) (/ z t))
7.0ms	(* x (/ x (* y y)))
7.0ms	(/ x (* y y))

series41.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* x (/ x (* y y))) (* (/ z t) (/ z t)))
5.0ms	(* (/ z t) (/ z t))
5.0ms	(* x (/ x (* y y)))
5.0ms	(/ x (* y y))

simplify55.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5045	1191

prune187.0ms

Filtered

88 candidates to 142 candidates (-61.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	130	12	142
Fresh	8	8	16
Picked	1	0	1
Done	0	0	0
Total	139	20	159

Merged error: 0.0b

Counts

159 → 20

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))
0.3b	(* (/ x y) (/ x y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
80×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log` `add-cbrt-cube`
26×	`swap-sqr` `associate-r` `associate-l`
17×	`pow1`
9×	`frac-add`
8×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
5×	`add-log-exp`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 154

Calls

3 calls:

7.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
10.0ms	(* (/ z t) (/ z t))
11.0ms	(* (/ x y) (/ x y))

series37.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
5.0ms	(* (/ z t) (/ z t))
6.0ms	(* (/ x y) (/ x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5014	1479

prune197.0ms

Filtered

101 candidates to 163 candidates (-61.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	158	5	163
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	162	21	183

Merged error: 0.0b

Counts

183 → 21

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (/ y x))
0.3b	(* (/ z t) (/ z t))
0.4b	(/ 1 (* y (/ y x)))
2.5b	(* x (/ 1 (* y (/ y x))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
64×	`add-sqr-sqrt`
56×	`times-frac`
45×	`add-cube-cbrt` `*-un-lft-identity`
44×	`add-cbrt-cube`
34×	`associate-r`
28×	`prod-exp`
23×	`div-exp`
19×	`associate-l`
18×	`pow1`
14×	`cbrt-unprod`
13×	`cbrt-undiv` `swap-sqr`
7×	`div-inv` `unswap-sqr`
6×	`rec-exp` `1-exp`
5×	`associate-*r/`
4×	`pow-prod-down` `add-log-exp`
3×	`-commutative` `associate-/l`
2×	`pow-flip` `associate-/r/`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-l/` `clear-num` `associate-/r` `pow-sqr` `un-div-inv` `pow-prod-up` `inv-pow`

Counts

4 → 169

Calls

4 calls:

6.0ms	(* y (/ y x))
10.0ms	(* (/ z t) (/ z t))
6.0ms	(/ 1 (* y (/ y x)))
9.0ms	(* x (/ 1 (* y (/ y x))))

series18.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* y (/ y x))
6.0ms	(* (/ z t) (/ z t))
4.0ms	(/ 1 (* y (/ y x)))
5.0ms	(* x (/ 1 (* y (/ y x))))

simplify83.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4964	1193
1	4964	1193

prune130.0ms

Filtered

105 candidates to 181 candidates (-72.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	2	18	20
Picked	1	0	1
Done	0	0	0
Total	182	20	202

Merged error: 0b

Counts

202 → 20

regimes806.0ms

Accuracy

0% (4.1b remaining)

Error of 4.1b against oracle of 0.0b and baseline of 4.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	12	15

end0.0ms

analyze849.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
14%	83.4%	2.5%	11
18.7%	78.2%	3.1%	12
28.1%	65.5%	6.4%	13
30.7%	59.4%	9.9%	14

sample947.0ms

Algorithm

intervals

Results

358.0ms	8000×	body	80	valid
260.0ms	6048×	body	80	invalid

Details

analyze908.0ms

sample37.0ms

simplify4.0ms

prune12.0ms

localize10.0ms

rewrite26.0ms

series21.0ms

simplify43.0ms

prune175.0ms

localize12.0ms

rewrite34.0ms

series41.0ms

simplify55.0ms

prune187.0ms

localize7.0ms

rewrite36.0ms

series37.0ms

simplify50.0ms

prune197.0ms

localize9.0ms

rewrite38.0ms

series18.0ms

simplify83.0ms

prune130.0ms

regimes806.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze849.0ms

sample947.0ms

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