Details

analyze3.0ms

Algorithm: search

sample28.0ms

Algorithm

intervals

Results

7.0ms	22×	body	640	valid
7.0ms	209×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	18×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	34	6
2	52	6
3	73	6
4	123	6
5	172	6
6	224	6
7	261	6
8	323	6
9	411	6
10	532	6
11	612	6
12	654	6
13	697	6
14	922	6
15	980	6
16	1007	6
17	1027	6
18	1035	6
19	1035	6

prune3.0ms

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: 11.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ alpha beta) 2.0)
0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
0.6b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

5.0ms	(+ (+ alpha beta) 2.0)
10.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
17.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series25.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+ (+ alpha beta) 2.0)
10.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
12.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify37.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	353	600
1	1201	570
2	5002	566

prune128.0ms

Filtered

58 candidates to 89 candidates (-53.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	78	11	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	11	90

Merged error: 10.5b

Counts

90 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ alpha beta) 2.0)
0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.0b	(/ beta (+ (+ alpha beta) 2.0))
0.6b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

6.0ms	(+ (+ alpha beta) 2.0)
9.0ms	(/ alpha (+ (+ alpha beta) 2.0))
7.0ms	(/ beta (+ (+ alpha beta) 2.0))
13.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (+ alpha beta) 2.0)
7.0ms	(/ alpha (+ (+ alpha beta) 2.0))
6.0ms	(/ beta (+ (+ alpha beta) 2.0))
11.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify38.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	361	647
1	1225	613
2	5001	604

prune155.0ms

Filtered

78 candidates to 116 candidates (-48.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	111	5	116
Fresh	9	1	10
Picked	1	0	1
Done	0	0	0
Total	121	6	127

Merged error: 2.6b

Counts

127 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
4.7b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
4.7b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
4.7b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

rewrite39.0ms

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 → 105

Calls

4 calls:

15.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
7.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
7.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
7.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
23.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
21.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
22.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

simplify126.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	336	1065
1	979	1017
2	4616	980
3	5001	980

prune285.0ms

Filtered

86 candidates to 117 candidates (-36.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	116	7	123

Merged error: 2.6b

Counts

123 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt beta)
0.7b	(cbrt (+ (+ alpha beta) 2.0))
0.7b	(cbrt (+ (+ alpha beta) 2.0))
0.7b	(cbrt (+ (+ alpha beta) 2.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
18×	`cbrt-prod`
9×	`distribute-lft-out`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt beta)
5.0ms	(cbrt (+ (+ alpha beta) 2.0))
5.0ms	(cbrt (+ (+ alpha beta) 2.0))
5.0ms	(cbrt (+ (+ alpha beta) 2.0))

series79.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt beta)
19.0ms	(cbrt (+ (+ alpha beta) 2.0))
18.0ms	(cbrt (+ (+ alpha beta) 2.0))
18.0ms	(cbrt (+ (+ alpha beta) 2.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	220	513
1	533	488
2	1822	409
3	5001	357

prune138.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	70	5	75

Merged error: 2.6b

Counts

75 → 5

regimes194.0ms

Accuracy

99.3% (0.1b remaining)

Error of 3.0b against oracle of 2.9b and baseline of 16.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	25
1	34	25

end0.0ms

analyze2.0ms

Algorithm: search

sample697.0ms

Algorithm

intervals

Results

176.0ms	5876×	body	80	valid
131.0ms	824×	body	1280	valid
121.0ms	8000×	pre	80	true
89.0ms	710×	body	640	valid
35.0ms	370×	body	320	valid
13.0ms	220×	body	160	valid

Details

analyze3.0ms

sample28.0ms

simplify68.0ms

prune3.0ms

localize8.0ms

rewrite35.0ms

series25.0ms

simplify37.0ms

prune128.0ms

localize9.0ms

rewrite37.0ms

series27.0ms

simplify38.0ms

prune155.0ms

localize13.0ms

rewrite39.0ms

series80.0ms

simplify126.0ms

prune285.0ms

localize18.0ms

rewrite18.0ms

series79.0ms

simplify48.0ms

prune138.0ms

regimes194.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

analyze2.0ms

sample697.0ms

Profiling