Details

analyze80.0ms

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
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample18.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4731	17
1	4731	17

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b	(+ (* a a) (* b b))
0.0b	(* 4.0 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
4.0ms	(+ (* a a) (* b b))
5.0ms	(* 4.0 (* b b))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series47.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
5.0ms	(+ (* a a) (* b b))
6.0ms	(* 4.0 (* b b))
21.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4952	786
1	4952	786

prune101.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	3	71

Merged error: 0b

Counts

71 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow b 4) (+ (pow a 4) (* a (* a (* b (* b 2))))))
0.0b	(+ (pow a 4) (* a (* a (* b (* b 2)))))
0.3b	(* a (* a (* b (* b 2))))
0.7b	(* a (* b (* b 2)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-log-exp`
8×	`*-un-lft-identity`
6×	`add-sqr-sqrt` `add-cube-cbrt` `associate-l`
4×	`sum-log`
2×	`+-commutative` `flip3-+` `associate-r` `*-commutative` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 70

Calls

4 calls:

7.0ms	(+ (pow b 4) (+ (pow a 4) (* a (* a (* b (* b 2))))))
5.0ms	(+ (pow a 4) (* a (* a (* b (* b 2)))))
9.0ms	(* a (* a (* b (* b 2))))
7.0ms	(* a (* b (* b 2)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (pow b 4) (+ (pow a 4) (* a (* a (* b (* b 2))))))
9.0ms	(+ (pow a 4) (* a (* a (* b (* b 2)))))
7.0ms	(* a (* a (* b (* b 2))))
7.0ms	(* a (* b (* b 2)))

simplify49.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	6382	1002

prune96.0ms

Filtered

45 candidates to 82 candidates (-82.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	82	3	85

Merged error: 0b

Counts

85 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow b 2.0))
0.0b	(* 4.0 (* b b))
0.3b	(* a (* a (* 2.0 (pow b 2.0))))
0.7b	(* a (* 2.0 (pow b 2.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
25×	`prod-exp` `add-cbrt-cube`
16×	`pow1` `add-sqr-sqrt`
13×	`cbrt-unprod`
12×	`associate-l`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `pow-exp`
2×	`sqr-pow`

Counts

4 → 85

Calls

4 calls:

5.0ms	(* 2.0 (pow b 2.0))
5.0ms	(* 4.0 (* b b))
7.0ms	(* a (* a (* 2.0 (pow b 2.0))))
6.0ms	(* a (* 2.0 (pow b 2.0)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* 2.0 (pow b 2.0))
3.0ms	(* 4.0 (* b b))
38.0ms	(* a (* a (* 2.0 (pow b 2.0))))
32.0ms	(* a (* 2.0 (pow b 2.0)))

simplify99.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4940	774
1	4940	774

prune120.0ms

Filtered

57 candidates to 97 candidates (-70.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	3	100

Merged error: 0b

Counts

100 → 3

regimes219.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	15	17

end0.0ms

analyze75.0ms

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
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample483.0ms

Algorithm

intervals

Results

354.0ms	8000×	body	80	valid
0.0ms	4×	body	80	invalid

Details

analyze80.0ms

sample18.0ms

simplify103.0ms

prune6.0ms

localize10.0ms

rewrite21.0ms

series47.0ms

simplify46.0ms

prune101.0ms

localize12.0ms

rewrite31.0ms

series37.0ms

simplify49.0ms

prune96.0ms

localize16.0ms

rewrite25.0ms

series137.0ms

simplify99.0ms

prune120.0ms

regimes219.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze75.0ms

sample483.0ms

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