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

sample25.0ms

Algorithm

intervals

Results

6.0ms	193×	body	80	valid
4.0ms	29×	body	1280	valid
4.0ms	256×	pre	80	true
3.0ms	23×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	5×	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

prune5.0ms

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: 14.8b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
1.6b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite34.0ms

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:

10.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
22.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series19.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ (- 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

prune116.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	60	11	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	11	72

Merged error: 14.3b

Counts

72 → 11

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ alpha (+ beta (+ alpha 2.0)))
0.0b	(/ beta (+ (+ alpha beta) 2.0))
1.6b	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

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

series24.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify45.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5066	1072

prune148.0ms

Filtered

69 candidates to 97 candidates (-40.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	10	0	10
Picked	1	0	1
Done	0	0	0
Total	101	7	108

Merged error: 2.0b

Counts

108 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ alpha (+ alpha (+ beta 2.0)))
0.0b	(/ beta (+ (+ alpha beta) 2.0))
1.6b	(log (exp (- (/ alpha (+ alpha (+ beta 2.0))) 1.0)))
1.6b	(- (/ alpha (+ alpha (+ beta 2.0))) 1.0)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
26×	`add-cube-cbrt`
24×	`distribute-lft-out`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`log-pow`
6×	`exp-prod` `associate-/l*` `add-log-exp`
5×	`pow1`
4×	`log-prod` `associate-/r/` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `distribute-lft-out--`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `exp-sum` `flip--`

Counts

4 → 108

Calls

4 calls:

7.0ms	(/ alpha (+ alpha (+ beta 2.0)))
7.0ms	(/ beta (+ (+ alpha beta) 2.0))
13.0ms	(log (exp (- (/ alpha (+ alpha (+ beta 2.0))) 1.0)))
15.0ms	(- (/ alpha (+ alpha (+ beta 2.0))) 1.0)

series34.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4953	1332
1	4953	1332

prune182.0ms

Filtered

84 candidates to 120 candidates (-42.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	120	7	127

Merged error: 2.0b

Counts

127 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

1.6b	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)
7.8b	(cbrt (/ beta (+ alpha (+ beta 2.0))))
7.8b	(cbrt (/ beta (+ alpha (+ beta 2.0))))
7.8b	(cbrt (/ beta (+ alpha (+ beta 2.0))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
63×	`cbrt-prod`
46×	`times-frac`
36×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
27×	`distribute-lft-out`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`cbrt-div` `flip3-+` `pow1/3` `flip-+` `div-inv`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 104

Calls

4 calls:

15.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)
6.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))
6.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))
6.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))

series73.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)
20.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))
20.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))
21.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))

simplify85.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4958	1693
1	4958	1693

prune262.0ms

Filtered

92 candidates to 116 candidates (-26.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	117	6	123

Merged error: 2.0b

Counts

123 → 6

regimes119.0ms

Accuracy

66.1% (4.4b remaining)

Error of 7.5b against oracle of 3.1b and baseline of 16.0b

bsearch39.0ms

Steps

Iters	Range		Point
7	2.5192110098841666e+69	4.432068613096312e+70	2.7147893205897957e+69

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	69
1	40	69

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

sample716.0ms

Algorithm

intervals

Results

186.0ms	5806×	body	80	valid
138.0ms	883×	body	1280	valid
125.0ms	8000×	pre	80	true
92.0ms	719×	body	640	valid
36.0ms	388×	body	320	valid
13.0ms	204×	body	160	valid

Details

analyze3.0ms

sample25.0ms

simplify4.0ms

prune5.0ms

localize8.0ms

rewrite34.0ms

series19.0ms

simplify52.0ms

prune116.0ms

localize14.0ms

rewrite29.0ms

series24.0ms

simplify45.0ms

prune148.0ms

localize15.0ms

rewrite45.0ms

series34.0ms

simplify51.0ms

prune182.0ms

localize15.0ms

rewrite38.0ms

series73.0ms

simplify85.0ms

prune262.0ms

regimes119.0ms

bsearch39.0ms

simplify1.0ms

end0.0ms

analyze2.0ms

sample716.0ms

Profiling