Details

analyze318.0ms

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
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

sample19.0ms

Algorithm

intervals

Results

7.0ms	249×	body	80	valid
0.0ms	19×	body	80	invalid
0.0ms	4×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	9
1	30	9

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

5.0ms	(* x (+ y z))
6.0ms	(+ (* x (+ y z)) (* z 5.0))

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* x (+ y z))
8.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify24.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5230	356

prune50.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	3	43

Merged error: 0.0b

Counts

43 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (+ x 5.0)))
0.0b	(* z (+ x 5.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

4.0ms	(+ (* x y) (* z (+ x 5.0)))
6.0ms	(* z (+ x 5.0))

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x y) (* z (+ x 5.0)))
5.0ms	(* z (+ x 5.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5056	356

prune55.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Merged error: 0b

Counts

45 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
0.0b	(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
3.1b	(* z (+ (pow x 3) (pow 5.0 3)))
10.8b	(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`add-sqr-sqrt`
9×	`associate-r`
8×	`add-cube-cbrt`
6×	`pow1`
5×	`flip3-+` `flip-+` `distribute-lft-out`
4×	`unpow-prod-down` `cube-prod` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `+-commutative` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`distribute-rgt-in` `associate-+r-` `sub-neg` `associate-+r+` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `sum-cubes` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

10.0ms	(+ (* x y) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
5.0ms	(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
13.0ms	(* z (+ (pow x 3) (pow 5.0 3)))
20.0ms	(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

series73.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* x y) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
3.0ms	(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
16.0ms	(* z (+ (pow x 3) (pow 5.0 3)))
29.0ms	(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

simplify43.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5282	1419

prune171.0ms

Filtered

63 candidates to 90 candidates (-42.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	92	2	94

Merged error: 0b

Counts

94 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 5.0 (- 5.0 x))
0.0b	(+ (* x x) (* 5.0 (- 5.0 x)))
0.3b	(/ z (/ (+ (* x x) (* 5.0 (- 5.0 x))) (+ (pow x 3) (pow 5.0 3))))
11.3b	(/ (+ (* x x) (* 5.0 (- 5.0 x))) (+ (pow x 3) (pow 5.0 3)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

268×	`*-un-lft-identity`
234×	`times-frac`
110×	`add-sqr-sqrt`
106×	`add-cube-cbrt`
80×	`distribute-lft-out`
64×	`unpow-prod-down` `cube-prod`
42×	`associate-/r*`
16×	`sum-cubes`
13×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
7×	`flip3-+` `flip-+`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `sub-neg` `div-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `frac-2neg` `distribute-lft-in` `associate-*r/` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3--` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 242

Calls

4 calls:

8.0ms	(* 5.0 (- 5.0 x))
4.0ms	(+ (* x x) (* 5.0 (- 5.0 x)))
18.0ms	(/ z (/ (+ (* x x) (* 5.0 (- 5.0 x))) (+ (pow x 3) (pow 5.0 3))))
16.0ms	(/ (+ (* x x) (* 5.0 (- 5.0 x))) (+ (pow x 3) (pow 5.0 3)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 5.0 (- 5.0 x))
3.0ms	(+ (* x x) (* 5.0 (- 5.0 x)))
29.0ms	(/ z (/ (+ (* x x) (* 5.0 (- 5.0 x))) (+ (pow x 3) (pow 5.0 3))))
5.0ms	(/ (+ (* x x) (* 5.0 (- 5.0 x))) (+ (pow x 3) (pow 5.0 3)))

simplify96.0ms

Algorithm

egg-herbie

Counts

254 → 254

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5422	6377

prune461.0ms

Filtered

144 candidates to 254 candidates (-76.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	254	0	254
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	254	2	256

Merged error: 0b

Counts

256 → 2

regimes125.0ms

Accuracy

0% (0.0b 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	9
1	12	9

end0.0ms

analyze317.0ms

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
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

sample430.0ms

Algorithm

intervals

Results

207.0ms	7682×	body	80	valid
18.0ms	680×	body	80	invalid
13.0ms	114×	body	1280	valid
11.0ms	113×	body	640	valid
5.0ms	65×	body	320	valid
1.0ms	26×	body	160	valid

Details

analyze318.0ms

sample19.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series15.0ms

simplify24.0ms

prune50.0ms

localize6.0ms

rewrite10.0ms

series13.0ms

simplify44.0ms

prune55.0ms

localize17.0ms

rewrite51.0ms

series73.0ms

simplify43.0ms

prune171.0ms

localize16.0ms

rewrite61.0ms

series41.0ms

simplify96.0ms

prune461.0ms

regimes125.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze317.0ms

sample430.0ms

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