Details

analyze134.0ms

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%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample23.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4692	31
1	4692	31

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

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.7b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `associate-r`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`flip3-+` `frac-add` `flip-+` `add-log-exp`
3×	`distribute-rgt-in` `unpow-prod-down` `pow-unpow` `flip3--` `distribute-lft-in` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 90

Calls

4 calls:

12.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
7.0ms	(* (* a a) (+ 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
5.0ms	(* (* a a) (+ 1.0 a))
21.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify42.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4948	1436
1	4948	1436

prune167.0ms

Filtered

73 candidates to 102 candidates (-39.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	5	103

Merged error: 0.1b

Counts

103 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* b b) (- 1.0 (* 3.0 a)))
19.9b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.9b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.9b	(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`sub-neg` `associate-*r/`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

9.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
4.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
4.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

series107.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
35.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
33.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
33.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5116	1110

prune219.0ms

Filtered

64 candidates to 80 candidates (-25.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	79	6	85

Merged error: 0.0b

Counts

85 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

8.9b	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
8.9b	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
19.9b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.9b	(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

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

series131.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
34.0ms	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
32.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
32.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify80.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4905	1270
1	4905	1270

prune262.0ms

Filtered

66 candidates to 78 candidates (-18.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	77	7	84

Merged error: 0.0b

Counts

84 → 7

localize42.0ms

Local error

Found 4 expressions with local error:

8.9b	(cbrt (+ (* b b) (* a a)))
8.9b	(cbrt (+ (* b b) (* a a)))
19.9b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.9b	(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`flip3-+` `flip-+` `sqr-pow`

Counts

4 → 56

Calls

4 calls:

4.0ms	(cbrt (+ (* b b) (* a a)))
4.0ms	(cbrt (+ (* b b) (* a a)))
4.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
4.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

series112.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt (+ (* b b) (* a a)))
20.0ms	(cbrt (+ (* b b) (* a a)))
37.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
33.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5478	926

prune260.0ms

Filtered

58 candidates to 68 candidates (-17.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	1	2	3
Picked	1	0	1
Done	1	2	3
Total	68	7	75

Merged error: 0.0b

Counts

75 → 7

regimes336.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	31
1	27	31

end0.0ms

analyze134.0ms

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%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample642.0ms

Algorithm

intervals

Results

512.0ms	8000×	body	80	valid
0.0ms	4×	body	80	invalid

Details

analyze134.0ms

sample23.0ms

simplify72.0ms

prune6.0ms

localize17.0ms

rewrite33.0ms

series49.0ms

simplify42.0ms

prune167.0ms

localize21.0ms

rewrite23.0ms

series107.0ms

simplify49.0ms

prune219.0ms

localize28.0ms

rewrite22.0ms

series131.0ms

simplify80.0ms

prune262.0ms

localize42.0ms

rewrite18.0ms

series112.0ms

simplify65.0ms

prune260.0ms

regimes336.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze134.0ms

sample642.0ms

Profiling