Details

analyze66.0ms

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
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	9
1	38	9

prune8.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y (* y 3)))
0.1b	(* y (* y 3))

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-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* x x) (* y (* y 3)))
5.0ms	(* y (* y 3))

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x x) (* y (* y 3)))
3.0ms	(* y (* y 3))

simplify59.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4932	279
1	4932	279

prune46.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* (* y y) 3))
0.2b	(* (* y y) 3)

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-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

4.0ms	(+ (* x x) (* (* y y) 3))
5.0ms	(* (* y y) 3)

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x x) (* (* y y) 3))
5.0ms	(* (* y y) 3)

simplify35.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4939	289
1	4939	289

prune40.0ms

Filtered

21 candidates to 36 candidates (-71.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	36	5	41

Merged error: 0b

Counts

41 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
0.1b	(* y (* (cbrt 3) (cbrt 3)))
0.2b	(* y (* y (* (cbrt 3) (cbrt 3))))
0.3b	(* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
22×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
6×	`add-log-exp`
3×	`cbrt-prod` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

5.0ms	(+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
7.0ms	(* y (* (cbrt 3) (cbrt 3)))
9.0ms	(* y (* y (* (cbrt 3) (cbrt 3))))
12.0ms	(* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))

series35.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
8.0ms	(* y (* (cbrt 3) (cbrt 3)))
8.0ms	(* y (* y (* (cbrt 3) (cbrt 3))))
9.0ms	(* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))

simplify45.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5003	679

prune104.0ms

Filtered

53 candidates to 90 candidates (-69.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	90	5	95

Merged error: 0b

Counts

95 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y (* y (sqrt 3))) (sqrt 3)))
0.2b	(* y (* y (sqrt 3)))
0.3b	(* (* y (* y (sqrt 3))) (sqrt 3))
0.3b	(* y (sqrt 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l` `sqrt-prod`
6×	`add-log-exp`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 75

Calls

4 calls:

4.0ms	(+ (* x x) (* (* y (* y (sqrt 3))) (sqrt 3)))
6.0ms	(* y (* y (sqrt 3)))
11.0ms	(* (* y (* y (sqrt 3))) (sqrt 3))
5.0ms	(* y (sqrt 3))

series25.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* x x) (* (* y (* y (sqrt 3))) (sqrt 3)))
4.0ms	(* y (* y (sqrt 3)))
7.0ms	(* (* y (* y (sqrt 3))) (sqrt 3))
4.0ms	(* y (sqrt 3))

simplify44.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	6263	600

prune83.0ms

Filtered

48 candidates to 87 candidates (-81.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	87	5	92

Merged error: 0b

Counts

92 → 5

regimes169.0ms

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	10	9
1	10	9

end0.0ms

sample341.0ms

Algorithm

intervals

Results

218.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze66.0ms

sample14.0ms

simplify3.0ms

prune8.0ms

localize5.0ms

rewrite9.0ms

series9.0ms

simplify59.0ms

prune46.0ms

localize6.0ms

rewrite10.0ms

series11.0ms

simplify35.0ms

prune40.0ms

localize11.0ms

rewrite35.0ms

series35.0ms

simplify45.0ms

prune104.0ms

localize8.0ms

rewrite28.0ms

series25.0ms

simplify44.0ms

prune83.0ms

regimes169.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample341.0ms

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