Details

analyze62.0ms

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%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

sample17.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	7
1	38	7

prune7.0ms

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: 0.0b

Counts

2 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (* x (+ x y)))
0.0b	(* x (+ x y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

7.0ms	(* 2.0 (* x (+ x y)))
6.0ms	(* x (+ x y))

series10.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* 2.0 (* x (+ x y)))
4.0ms	(* x (+ x y))

simplify32.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4979	386
1	4979	386

prune50.0ms

Filtered

32 candidates to 53 candidates (-65.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	52	3	55

Merged error: 0.0b

Counts

55 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* x 2.0) (+ x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

7.0ms

(* (* x 2.0) (+ x y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* (* x 2.0) (+ x y))

simplify59.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4971	209
1	4971	209

prune26.0ms

Filtered

15 candidates to 26 candidates (-73.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(* x (* (+ x y) (sqrt 2.0)))
0.4b	(* (sqrt 2.0) (* x (* (+ x y) (sqrt 2.0))))
0.4b	(* (+ x y) (sqrt 2.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt` `associate-l`
11×	`*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt`
8×	`associate-r`
7×	`sqrt-prod`
6×	`associate-r/` `associate-l/`
3×	`flip3-+` `*-commutative` `flip-+` `add-log-exp`
2×	`unswap-sqr`
1×	`distribute-lft-out`

Counts

3 → 71

Calls

3 calls:

7.0ms	(* x (* (+ x y) (sqrt 2.0)))
11.0ms	(* (sqrt 2.0) (* x (* (+ x y) (sqrt 2.0))))
7.0ms	(* (+ x y) (sqrt 2.0))

series26.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(* x (* (+ x y) (sqrt 2.0)))
12.0ms	(* (sqrt 2.0) (* x (* (+ x y) (sqrt 2.0))))
7.0ms	(* (+ x y) (sqrt 2.0))

simplify29.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5003	663

prune79.0ms

Filtered

47 candidates to 80 candidates (-70.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	80	3	83

Merged error: 0.0b

Counts

83 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (/ (+ (pow x 4) (* x (pow y 3))) (+ (* x x) (- (* y y) (* x y)))))
1.7b	(+ (pow x 4) (* x (pow y 3)))
4.1b	(* x (pow y 3))
30.4b	(/ (+ (pow x 4) (* x (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
27×	`associate-r`
24×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
16×	`add-exp-log`
13×	`add-cbrt-cube`
6×	`pow1` `associate-l` `add-log-exp` `unswap-sqr`
5×	`prod-exp`
4×	`unpow-prod-down` `flip3-+` `cube-prod` `associate-/r/` `flip-+`
3×	`associate-/r` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv` `associate-/l/` `sqr-pow`
1×	`+-commutative` `cube-mult` `pow-to-exp` `frac-2neg` `unpow3` `associate-*r/` `pow-prod-down` `pow-exp` `clear-num` `sum-log`

Counts

4 → 107

Calls

4 calls:

14.0ms	(* 2.0 (/ (+ (pow x 4) (* x (pow y 3))) (+ (* x x) (- (* y y) (* x y)))))
5.0ms	(+ (pow x 4) (* x (pow y 3)))
6.0ms	(* x (pow y 3))
12.0ms	(/ (+ (pow x 4) (* x (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

series54.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 2.0 (/ (+ (pow x 4) (* x (pow y 3))) (+ (* x x) (- (* y y) (* x y)))))
9.0ms	(+ (pow x 4) (* x (pow y 3)))
9.0ms	(* x (pow y 3))
18.0ms	(/ (+ (pow x 4) (* x (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

simplify58.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5038	2044

prune186.0ms

Filtered

87 candidates to 119 candidates (-36.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	3	122

Merged error: 0.0b

Counts

122 → 3

regimes69.0ms

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	9	7
1	9	7

end0.0ms

sample334.0ms

Algorithm

intervals

Results

211.0ms	8000×	body	80	valid
4.0ms	159×	body	80	invalid

Details

analyze62.0ms

sample17.0ms

simplify4.0ms

prune7.0ms

localize4.0ms

rewrite14.0ms

series10.0ms

simplify32.0ms

prune50.0ms

localize4.0ms

rewrite7.0ms

series6.0ms

simplify59.0ms

prune26.0ms

localize7.0ms

rewrite27.0ms

series26.0ms

simplify29.0ms

prune79.0ms

localize14.0ms

rewrite40.0ms

series54.0ms

simplify58.0ms

prune186.0ms

regimes69.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample334.0ms

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