Details

analyze81.0ms

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

sample25.0ms

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	18	7
1	18	7

prune4.0ms

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: 6.8b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

6.3b	(* x (+ 1.0 (* y y)))

rewrite8.0ms

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:

7.0ms

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

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4909	206
1	4909	206

prune42.0ms

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: 6.6b

Counts

26 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (* y y)))
12.3b	(* 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))

series17.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify33.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5399	271

prune44.0ms

Filtered

23 candidates to 37 candidates (-60.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

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))
4.0ms	(* (* x y) y)

series17.0ms

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 (25.0ms)

Iter	Nodes	Cost
0	5034	256

prune71.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	36	5	41

Merged error: 0.0b

Counts

41 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (sqrt (+ 1.0 (* y y))))
0.1b	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
6.4b	(sqrt (+ 1.0 (* y y)))
6.4b	(sqrt (+ 1.0 (* y y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

10.0ms	(* x (sqrt (+ 1.0 (* y y))))
16.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
4.0ms	(sqrt (+ 1.0 (* y y)))
4.0ms	(sqrt (+ 1.0 (* y y)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (sqrt (+ 1.0 (* y y))))
19.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
6.0ms	(sqrt (+ 1.0 (* y y)))
6.0ms	(sqrt (+ 1.0 (* y y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4957	992
1	4957	992

prune125.0ms

Filtered

71 candidates to 95 candidates (-33.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	95	5	100

Merged error: 0.0b

Counts

100 → 5

regimes186.0ms

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

sample321.0ms

Algorithm

intervals

Results

185.0ms	8000×	body	80	valid
3.0ms	153×	body	80	invalid

Details

analyze81.0ms

sample25.0ms

simplify4.0ms

prune4.0ms

localize8.0ms

rewrite8.0ms

series10.0ms

simplify47.0ms

prune42.0ms

localize5.0ms

rewrite10.0ms

series17.0ms

simplify33.0ms

prune44.0ms

localize6.0ms

rewrite9.0ms

series17.0ms

simplify29.0ms

prune71.0ms

localize11.0ms

rewrite39.0ms

series49.0ms

simplify45.0ms

prune125.0ms

regimes186.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample321.0ms

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