Details

analyze78.0ms

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

12.0ms

256×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4718	17
1	4718	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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
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)

rewrite22.0ms

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:

4.0ms	(+ (* a a) (* b b))
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)

series44.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* a a) (* b b))
13.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
3.0ms	(* 4.0 (* b b))
23.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify64.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	6425	780

prune108.0ms

Filtered

51 candidates to 70 candidates (-37.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	2	71

Merged error: 0b

Counts

71 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow a 4) (* a (* 2 (* a (* b b)))))
0.0b	(* 2 (* a (* b b)))
1.0b	(* a (* b b))
1.1b	(* a (* 2 (* a (* b b))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

6.0ms	(+ (pow a 4) (* a (* 2 (* a (* b b)))))
7.0ms	(* 2 (* a (* b b)))
6.0ms	(* a (* b b))
10.0ms	(* a (* 2 (* a (* b b))))

series29.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (pow a 4) (* a (* 2 (* a (* b b)))))
7.0ms	(* 2 (* a (* b b)))
6.0ms	(* a (* b b))
7.0ms	(* a (* 2 (* a (* b b))))

simplify51.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4973	796
1	4973	796

prune108.0ms

Filtered

50 candidates to 87 candidates (-74.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	87	2	89

Merged error: 0b

Counts

89 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow b 2.0))
0.0b	(* 4.0 (* b b))
1.0b	(* a (* 2.0 (pow b 2.0)))
1.1b	(* a (* a (* 2.0 (pow b 2.0))))

rewrite26.0ms

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))
5.0ms	(* a (* 2.0 (pow b 2.0)))
8.0ms	(* a (* a (* 2.0 (pow b 2.0))))

series126.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* 2.0 (pow b 2.0))
3.0ms	(* 4.0 (* b b))
30.0ms	(* a (* 2.0 (pow b 2.0)))
36.0ms	(* a (* a (* 2.0 (pow b 2.0))))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5054	777

prune140.0ms

Filtered

60 candidates to 97 candidates (-61.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	2	99

Merged error: 0b

Counts

99 → 2

regimes66.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	19
1	66	19

end0.0ms

sample536.0ms

Algorithm

intervals

Results

385.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze78.0ms

sample20.0ms

simplify75.0ms

prune6.0ms

localize9.0ms

rewrite22.0ms

series44.0ms

simplify64.0ms

prune108.0ms

localize12.0ms

rewrite34.0ms

series29.0ms

simplify51.0ms

prune108.0ms

localize14.0ms

rewrite26.0ms

series126.0ms

simplify48.0ms

prune140.0ms

regimes66.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample536.0ms

Profiling