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%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample27.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5054	29

prune11.0ms

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: 0.2b

Counts

2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

12.0ms	(* 4.0 (+ (* a (* a (- 1.0 a))) (* b (* b (+ a 3.0)))))
7.0ms	(* a (* a (- 1.0 a)))
7.0ms	(* b (* b (+ a 3.0)))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)

series45.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* 4.0 (+ (* a (* a (- 1.0 a))) (* b (* b (+ a 3.0)))))
5.0ms	(* a (* a (- 1.0 a)))
6.0ms	(* b (* b (+ a 3.0)))
22.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify42.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5148	1309

prune180.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	99	6	105

Merged error: 0.1b

Counts

105 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`associate-r`
10×	`add-cube-cbrt`
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` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

12.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
8.0ms	(* (* a a) (- 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))

series49.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
5.0ms	(* (* a a) (- 1.0 a))
22.0ms	(pow (+ (* a a) (* b b)) 2.0)
6.0ms	(* (* b b) (+ 3.0 a))

simplify57.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4950	1310
1	4950	1310

prune184.0ms

Filtered

74 candidates to 104 candidates (-40.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	104	6	110

Merged error: 0.1b

Counts

110 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

14.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series139.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
36.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
34.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
34.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5052	2354

prune424.0ms

Filtered

89 candidates to 121 candidates (-36.0%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	114	7	121
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	115	12	127

Merged error: 0.0b

Counts

127 → 12

localize29.0ms

Local error

Found 4 expressions with local error:

8.6b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
8.6b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite24.0ms

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:

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

series141.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
36.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
34.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
34.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4832	1262
1	4832	1262

prune272.0ms

Filtered

61 candidates to 78 candidates (-27.9%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	78	12	90

Merged error: 0.0b

Counts

90 → 12

regimes499.0ms

Accuracy

0% (0.1b 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 (1.0ms)

Iter	Nodes	Cost
0	43	29
1	43	29

end0.0ms

sample645.0ms

Algorithm

intervals

Results

508.0ms	8000×	body	80	valid
0.0ms	4×	body	80	invalid

Details

analyze134.0ms

sample27.0ms

simplify68.0ms

prune11.0ms

localize18.0ms

rewrite35.0ms

series45.0ms

simplify42.0ms

prune180.0ms

localize18.0ms

rewrite35.0ms

series49.0ms

simplify57.0ms

prune184.0ms

localize23.0ms

rewrite33.0ms

series139.0ms

simplify64.0ms

prune424.0ms

localize29.0ms

rewrite24.0ms

series141.0ms

simplify62.0ms

prune272.0ms

regimes499.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample645.0ms

Profiling