Details

analyze79.0ms

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

sample20.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4828	17
1	4828	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: 0.2b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

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

series40.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
3.0ms	(* 4.0 (* b b))
21.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify54.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5297	649

prune82.0ms

Filtered

41 candidates to 56 candidates (-36.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	2	57

Merged error: 0b

Counts

57 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow a 4) (* a (* a (* b (* b 2)))))
0.8b	(* a (* a (* b (* b 2))))
1.0b	(* a (* b (* b 2)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 56

Calls

3 calls:

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

series23.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify56.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4976	647
1	4976	647

prune70.0ms

Filtered

32 candidates to 65 candidates (-103.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	65	2	67

Merged error: 0b

Counts

67 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (* b b))
0.0b	(+ (+ (pow b (* 2.0 2)) (* a (* a (* 2.0 (pow b 2.0))))) (* 4.0 (* b b)))
0.8b	(* a (* a (* 2.0 (pow b 2.0))))
1.0b	(* a (* 2.0 (pow b 2.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

5.0ms	(* 4.0 (* b b))
9.0ms	(+ (+ (pow b (* 2.0 2)) (* a (* a (* 2.0 (pow b 2.0))))) (* 4.0 (* b b)))
7.0ms	(* a (* a (* 2.0 (pow b 2.0))))
5.0ms	(* a (* 2.0 (pow b 2.0)))

series86.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 4.0 (* b b))
19.0ms	(+ (+ (pow b (* 2.0 2)) (* a (* a (* 2.0 (pow b 2.0))))) (* 4.0 (* b b)))
33.0ms	(* a (* a (* 2.0 (pow b 2.0))))
31.0ms	(* a (* 2.0 (pow b 2.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4919	971
1	4919	971

prune119.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Merged error: 0b

Counts

87 → 2

regimes73.0ms

Accuracy

53.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.0b

bsearch30.0ms

Steps

Iters	Range		Point
9	1.9517107282476988e-103	4.989081450846171e-98	7.585443724790434e-102
7	-401798.14218892227	-12869.025651217391	-13027.803644546246

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	51
1	61	51

end0.0ms

sample509.0ms

Algorithm

intervals

Results

368.0ms	8000×	body	80	valid
0.0ms	4×	body	80	invalid

Details

analyze79.0ms

sample20.0ms

simplify64.0ms

prune6.0ms

localize10.0ms

rewrite18.0ms

series40.0ms

simplify54.0ms

prune82.0ms

localize12.0ms

rewrite25.0ms

series23.0ms

simplify56.0ms

prune70.0ms

localize17.0ms

rewrite29.0ms

series86.0ms

simplify47.0ms

prune119.0ms

regimes73.0ms

bsearch30.0ms

simplify2.0ms

end0.0ms

sample509.0ms

Profiling