Details

analyze63.0ms

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

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	9
1	38	9

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: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

3.0ms	(+ (* 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))

simplify42.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4956	279
1	4956	279

prune47.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:

3.0ms	(+ (* 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)

simplify54.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4917	289
1	4917	289

prune46.0ms

Filtered

22 candidates to 36 candidates (-63.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

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

Merged error: 0.0b

Counts

42 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

4.0ms	(+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
6.0ms	(* y (* (cbrt 3) (cbrt 3)))
9.0ms	(* y (* y (* (cbrt 3) (cbrt 3))))
12.0ms	(* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))

series37.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
7.0ms	(* y (* (cbrt 3) (cbrt 3)))
7.0ms	(* y (* y (* (cbrt 3) (cbrt 3))))
12.0ms	(* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))

simplify38.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4990	679
1	4990	679

prune127.0ms

Filtered

52 candidates to 90 candidates (-73.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))) (cbrt (cbrt 3))))
0.1b	(* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))
0.2b	(* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2)))))
0.2b	(* (* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))) (cbrt (cbrt 3)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-exp-log`
37×	`prod-exp`
25×	`add-cbrt-cube`
20×	`pow1`
19×	`cbrt-unprod`
11×	`associate-r`
10×	`pow-prod-down`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`add-log-exp`
3×	`pow-to-exp` `pow-exp` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 83

Calls

4 calls:

4.0ms	(+ (* x x) (* (* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))) (cbrt (cbrt 3))))
9.0ms	(* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))
14.0ms	(* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2)))))
25.0ms	(* (* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))) (cbrt (cbrt 3)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* x x) (* (* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))) (cbrt (cbrt 3))))
47.0ms	(* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))
41.0ms	(* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2)))))
12.0ms	(* (* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))) (cbrt (cbrt 3)))

simplify47.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4895	828
1	4895	828

prune126.0ms

Filtered

53 candidates to 95 candidates (-79.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	95	7	102

Merged error: 0.0b

Counts

102 → 7

regimes184.0ms

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

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
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

sample356.0ms

Algorithm

intervals

Results

240.0ms	8000×	body	80	valid
0.0ms	11×	body	80	invalid

Details

analyze63.0ms

sample14.0ms

simplify6.0ms

prune7.0ms

localize5.0ms

rewrite9.0ms

series9.0ms

simplify42.0ms

prune47.0ms

localize6.0ms

rewrite9.0ms

series9.0ms

simplify54.0ms

prune46.0ms

localize9.0ms

rewrite33.0ms

series37.0ms

simplify38.0ms

prune127.0ms

localize24.0ms

rewrite53.0ms

series110.0ms

simplify47.0ms

prune126.0ms

regimes184.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze62.0ms

sample356.0ms

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