Details

analyze267.0ms

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
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

sample19.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	52×	body	80	invalid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	356	7
1	356	7

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) z)
0.0b	(+ x (/ (- y x) z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 51

Calls

2 calls:

5.0ms	(/ (- y x) z)
9.0ms	(+ x (/ (- y x) z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ (- y x) z)
6.0ms	(+ x (/ (- y x) z))

simplify40.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5763	519

prune57.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Merged error: 0.0b

Counts

58 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (- y x))
0.0b	(+ x (/ 1 (/ z (- y x))))
0.3b	(/ 1 (/ z (- y x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
106×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

3 → 158

Calls

3 calls:

5.0ms	(/ z (- y x))
22.0ms	(+ x (/ 1 (/ z (- y x))))
9.0ms	(/ 1 (/ z (- y x)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ z (- y x))
6.0ms	(+ x (/ 1 (/ z (- y x))))
7.0ms	(/ 1 (/ z (- y x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5340	1827

prune122.0ms

Filtered

100 candidates to 167 candidates (-67.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	167	4	171

Merged error: 0.0b

Counts

171 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (* z (/ 1 (- y x)))))
0.0b	(/ 1 (- y x))
0.2b	(* z (/ 1 (- y x)))
0.3b	(/ 1 (* z (/ 1 (- y x))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
47×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
35×	`times-frac`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`div-exp` `add-cbrt-cube`
16×	`prod-exp`
10×	`pow1` `rec-exp` `1-exp`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `associate-/r` `associate-/r/` `associate-/l` `add-log-exp`
4×	`cbrt-unprod` `div-inv`
3×	`pow-flip` `associate-l` `unswap-sqr`
2×	`flip3--` `frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `flip--` `distribute-lft-out` `inv-pow`
1×	`+-commutative` `flip3-+` `sum-log` `*-commutative` `flip-+`

Counts

4 → 138

Calls

4 calls:

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

series24.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ x (/ 1 (* z (/ 1 (- y x)))))
5.0ms	(/ 1 (- y x))
7.0ms	(* z (/ 1 (- y x)))
7.0ms	(/ 1 (* z (/ 1 (- y x))))

simplify51.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5613	1049

prune106.0ms

Filtered

79 candidates to 150 candidates (-89.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	150	4	154

Merged error: 0.0b

Counts

154 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (- x y) z) z)
4.2b	(* (- y x) (/ (/ (- x y) z) z))
6.2b	(+ (* x x) (* (- y x) (/ (/ (- x y) z) z)))
30.6b	(/ (+ (* x x) (* (- y x) (/ (/ (- x y) z) z))) (+ x (/ (- x y) z)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
170×	`add-sqr-sqrt`
169×	`*-un-lft-identity`
117×	`add-cube-cbrt`
61×	`associate-r`
22×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp` `associate-/r*`
6×	`pow1` `add-log-exp`
5×	`associate-l`
4×	`distribute-lft-out`
3×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
2×	`frac-times` `flip3--` `frac-2neg` `div-sub` `associate-*l/` `clear-num` `associate-/r/` `flip--`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 230

Calls

4 calls:

9.0ms	(/ (/ (- x y) z) z)
24.0ms	(* (- y x) (/ (/ (- x y) z) z))
5.0ms	(+ (* x x) (* (- y x) (/ (/ (- x y) z) z)))
16.0ms	(/ (+ (* x x) (* (- y x) (/ (/ (- x y) z) z))) (+ x (/ (- x y) z)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ (/ (- x y) z) z)
11.0ms	(* (- y x) (/ (/ (- x y) z) z))
23.0ms	(+ (* x x) (* (- y x) (/ (/ (- x y) z) z)))
46.0ms	(/ (+ (* x x) (* (- y x) (/ (/ (- x y) z) z))) (+ x (/ (- x y) z)))

simplify103.0ms

Algorithm

egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4990	3931
1	4990	3931

prune177.0ms

Filtered

169 candidates to 242 candidates (-43.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	242	4	246

Merged error: 0.0b

Counts

246 → 4

regimes180.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample418.0ms

Algorithm

intervals

Results

193.0ms	8000×	body	80	valid
35.0ms	1445×	body	80	invalid

Details

analyze267.0ms

sample19.0ms

simplify14.0ms

prune3.0ms

localize5.0ms

rewrite16.0ms

series12.0ms

simplify40.0ms

prune57.0ms

localize6.0ms

rewrite43.0ms

series20.0ms

simplify59.0ms

prune122.0ms

localize9.0ms

rewrite35.0ms

series24.0ms

simplify51.0ms

prune106.0ms

localize12.0ms

rewrite64.0ms

series91.0ms

simplify103.0ms

prune177.0ms

regimes180.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample418.0ms

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