Details

analyze71.0ms

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
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

sample24.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

prune2.0ms

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: 6.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

6.0b	(* x (+ 1.0 (* y y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (+ 1.0 (* y y)))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(* x (+ 1.0 (* y y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4909	206
1	4909	206

prune44.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	5	26

Merged error: 6.1b

Counts

26 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (* y y)))
10.8b	(* x (* y y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* x (* y y)))
5.0ms	(* x (* y y))

series16.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* x (* y y)))
6.0ms	(* x (* y y))

simplify36.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5399	271

prune41.0ms

Filtered

23 candidates to 37 candidates (-60.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Merged error: 0.0b

Counts

42 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x y) y))
0.2b	(* (* x y) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* (* x y) y))
5.0ms	(* (* x y) y)

series16.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* (* x y) y))
6.0ms	(* (* x y) y)

simplify29.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5034	256

prune38.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	35	4	39

Merged error: 0.0b

Counts

39 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 1.0) (* (* y (sqrt x)) (* y (sqrt x))))
0.2b	(* y (sqrt x))
0.2b	(* y (sqrt x))
0.2b	(* (* y (sqrt x)) (* y (sqrt x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
18×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
7×	`associate-l`
6×	`add-log-exp`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`+-commutative` `pow2` `flip3-+` `swap-sqr` `sum-log` `flip-+`

Counts

4 → 89

Calls

4 calls:

4.0ms	(+ (* x 1.0) (* (* y (sqrt x)) (* y (sqrt x))))
4.0ms	(* y (sqrt x))
4.0ms	(* y (sqrt x))
8.0ms	(* (* y (sqrt x)) (* y (sqrt x)))

series32.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* x 1.0) (* (* y (sqrt x)) (* y (sqrt x))))
6.0ms	(* y (sqrt x))
6.0ms	(* y (sqrt x))
11.0ms	(* (* y (sqrt x)) (* y (sqrt x)))

simplify33.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5093	691

prune73.0ms

Filtered

60 candidates to 101 candidates (-68.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	100	5	105

Merged error: 0.0b

Counts

105 → 5

regimes120.0ms

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	11	9
1	11	9

end0.0ms

sample544.0ms

Algorithm

intervals

Results

153.0ms

8000×

body

valid

Details

analyze71.0ms

sample24.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite5.0ms

series10.0ms

simplify49.0ms

prune44.0ms

localize6.0ms

rewrite10.0ms

series16.0ms

simplify36.0ms

prune41.0ms

localize6.0ms

rewrite9.0ms

series16.0ms

simplify29.0ms

prune38.0ms

localize7.0ms

rewrite23.0ms

series32.0ms

simplify33.0ms

prune73.0ms

regimes120.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample544.0ms

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