Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
28.1%	28.1%	43.8%	2
56.2%	0%	43.8%	3

sample28.0ms

Algorithm

intervals

Results

6.0ms	173×	body	80	valid
5.0ms	31×	body	1280	valid
4.0ms	256×	pre	80	true
3.0ms	22×	body	640	valid
2.0ms	22×	body	320	valid
1.0ms	8×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	85	13
1	85	13

prune10.0ms

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: 19.3b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
2.7b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
19×	`distribute-lft-out`
14×	`add-cube-cbrt`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `flip3-+` `div-sub` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3--` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `div-inv`

Counts

2 → 65

Calls

2 calls:

9.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
17.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series18.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
11.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify52.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5807	998

prune133.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	58	13	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	13	72

Merged error: 18.3b

Counts

72 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ beta (+ alpha 2.0))) 1.0))
0.0b	(/ beta (+ (+ alpha beta) 2.0))
0.0b	(/ alpha (+ beta (+ alpha 2.0)))
2.7b	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
32×	`times-frac`
24×	`add-cube-cbrt` `distribute-lft-out`
11×	`add-log-exp`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `diff-log` `associate-/r/` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `flip3--` `flip--`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `frac-sub` `flip-+` `div-inv`
1×	`associate--r+` `associate--r-`

Counts

4 → 108

Calls

4 calls:

28.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ beta (+ alpha 2.0))) 1.0))
7.0ms	(/ beta (+ (+ alpha beta) 2.0))
6.0ms	(/ alpha (+ beta (+ alpha 2.0)))
12.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

series35.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ beta (+ alpha 2.0))) 1.0))
6.0ms	(/ beta (+ (+ alpha beta) 2.0))
6.0ms	(/ alpha (+ beta (+ alpha 2.0)))
12.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

simplify44.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5838	1671

prune220.0ms

Filtered

88 candidates to 120 candidates (-36.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	109	11	120
Fresh	12	0	12
Picked	1	0	1
Done	0	0	0
Total	122	11	133

Merged error: 4.6b

Counts

133 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ alpha (+ beta 2.0)) beta)
0.0b	(/ alpha (+ beta (+ alpha 2.0)))
0.1b	(/ 1 (/ (+ alpha (+ beta 2.0)) beta))
2.7b	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

182×	`*-un-lft-identity`
148×	`times-frac`
85×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
60×	`distribute-lft-out`
27×	`associate-/r*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`associate-/l*`
9×	`div-exp`
7×	`div-inv`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
3×	`frac-2neg` `clear-num` `associate-/r/`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `associate-/l/` `difference-of-squares`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `flip--` `distribute-lft-out--` `inv-pow`

Counts

4 → 188

Calls

4 calls:

7.0ms	(/ (+ alpha (+ beta 2.0)) beta)
7.0ms	(/ alpha (+ beta (+ alpha 2.0)))
9.0ms	(/ 1 (/ (+ alpha (+ beta 2.0)) beta))
12.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

series33.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ (+ alpha (+ beta 2.0)) beta)
6.0ms	(/ alpha (+ beta (+ alpha 2.0)))
8.0ms	(/ 1 (/ (+ alpha (+ beta 2.0)) beta))
11.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

simplify69.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4997	2460
1	4997	2460

prune268.0ms

Filtered

110 candidates to 200 candidates (-81.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	193	7	200
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	198	13	211

Merged error: 4.6b

Counts

211 → 13

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ alpha (+ beta 2.0)))
0.7b	(cbrt (+ alpha (+ beta 2.0)))
0.7b	(cbrt (+ alpha (+ beta 2.0)))
2.7b	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
15×	`cbrt-prod`
12×	`add-sqr-sqrt`
9×	`distribute-lft-out`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `times-frac` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 59

Calls

4 calls:

5.0ms	(cbrt (+ alpha (+ beta 2.0)))
5.0ms	(cbrt (+ alpha (+ beta 2.0)))
5.0ms	(cbrt (+ alpha (+ beta 2.0)))
12.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

series64.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt (+ alpha (+ beta 2.0)))
18.0ms	(cbrt (+ alpha (+ beta 2.0)))
17.0ms	(cbrt (+ alpha (+ beta 2.0)))
11.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

simplify42.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5266	834

prune170.0ms

Filtered

57 candidates to 71 candidates (-24.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	8	4	12
Picked	1	0	1
Done	0	0	0
Total	76	8	84

Merged error: 4.6b

Counts

84 → 8

regimes158.0ms

Accuracy

75.7% (3.2b remaining)

Error of 6.2b against oracle of 3.0b and baseline of 16.2b

bsearch34.0ms

Steps

Iters	Range		Point
7	3.0034241763061e+19	2.737588960080928e+21	6.5531379149477994e+19

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	72
1	40	72

end0.0ms

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
28.1%	28.1%	43.8%	2
56.2%	0%	43.8%	3

sample756.0ms

Algorithm

intervals

Results

189.0ms	5785×	body	80	valid
144.0ms	877×	body	1280	valid
138.0ms	8000×	pre	80	true
95.0ms	737×	body	640	valid
40.0ms	403×	body	320	valid
13.0ms	198×	body	160	valid

Details

analyze3.0ms

sample28.0ms

simplify4.0ms

prune10.0ms

localize9.0ms

rewrite29.0ms

series18.0ms

simplify52.0ms

prune133.0ms

localize12.0ms

rewrite57.0ms

series35.0ms

simplify44.0ms

prune220.0ms

localize16.0ms

rewrite44.0ms

series33.0ms

simplify69.0ms

prune268.0ms

localize21.0ms

rewrite29.0ms

series64.0ms

simplify42.0ms

prune170.0ms

regimes158.0ms

bsearch34.0ms

simplify1.0ms

end0.0ms

analyze2.0ms

sample756.0ms

Profiling