Details

sample152.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 43.768318%

Space saved by search: 43.768318%

Guaranteed chance to sample good point: 98.831177%

Results

6.0ms	40×	body	1280	valid
6.0ms	176×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	13×	body	640	valid
2.0ms	20×	body	320	valid
0.0ms	7×	body	160	valid

simplify70.0ms

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: 18.8b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
1.8b	(+ (/ (- 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))
18.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series22.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
14.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify35.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	320	535
1	1022	510
2	5001	502

prune117.0ms

Filtered

46 candidates to 71 candidates (-54.3%)

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: 17.9b

Counts

72 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.0b	(/ beta (+ (+ alpha beta) 2.0))
1.8b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite59.0ms

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` `associate--r+`
1×	`associate--r-`

Counts

4 → 111

Calls

4 calls:

28.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
8.0ms	(/ alpha (+ (+ alpha beta) 2.0))
7.0ms	(/ beta (+ (+ alpha beta) 2.0))
13.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series36.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify48.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	450	903
1	1596	871
2	5002	859

prune181.0ms

Filtered

84 candidates to 123 candidates (-46.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	116	7	123
Fresh	9	1	10
Picked	1	0	1
Done	0	0	0
Total	126	8	134

Merged error: 3.3b

Counts

134 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ alpha beta) 2.0) beta)
0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.6b	(/ 1 (/ (+ (+ alpha beta) 2.0) beta))
1.8b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite48.0ms

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 → 189

Calls

4 calls:

8.0ms	(/ (+ (+ alpha beta) 2.0) beta)
7.0ms	(/ alpha (+ (+ alpha beta) 2.0))
10.0ms	(/ 1 (/ (+ (+ alpha beta) 2.0) beta))
13.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series31.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (+ (+ alpha beta) 2.0) beta)
7.0ms	(/ alpha (+ (+ alpha beta) 2.0))
8.0ms	(/ 1 (/ (+ (+ alpha beta) 2.0) beta))
11.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify69.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	586	1447
1	2527	1312
2	5001	1209

prune200.0ms

Filtered

99 candidates to 201 candidates (-103.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	197	4	201
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	200	9	209

Merged error: 3.3b

Counts

209 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
10.1b	(cbrt (/ (+ (+ alpha beta) 2.0) beta))
10.1b	(cbrt (/ (+ (+ alpha beta) 2.0) beta))
10.1b	(cbrt (/ (+ (+ alpha beta) 2.0) beta))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

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

series104.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
29.0ms	(cbrt (/ (+ (+ alpha beta) 2.0) beta))
30.0ms	(cbrt (/ (+ (+ alpha beta) 2.0) beta))
32.0ms	(cbrt (/ (+ (+ alpha beta) 2.0) beta))

simplify90.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	314	1155
1	814	1119
2	3110	1064
3	5002	1052

prune273.0ms

Filtered

80 candidates to 111 candidates (-38.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	112	8	120

Merged error: 3.3b

Counts

120 → 8

regimes170.0ms

Accuracy

77.6% (3.0b remaining)

Error of 6.2b against oracle of 3.2b and baseline of 16.7b

bsearch15.0ms

Steps

Iters	Range		Point
5	1.0162999502933616e+17	2.7288347914341258e+17	1.4003616358163075e+17

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	27
1	43	27

end0.0ms

sample954.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 43.768318%

Space saved by search: 43.768318%

Guaranteed chance to sample good point: 98.831177%

Results

191.0ms	5792×	body	80	valid
141.0ms	8000×	pre	80	true
138.0ms	874×	body	1280	valid
95.0ms	733×	body	640	valid
38.0ms	410×	body	320	valid
12.0ms	191×	body	160	valid

Details

sample152.0ms

simplify70.0ms

prune3.0ms

localize9.0ms

rewrite29.0ms

series22.0ms

simplify35.0ms

prune117.0ms

localize9.0ms

rewrite59.0ms

series36.0ms

simplify48.0ms

prune181.0ms

localize10.0ms

rewrite48.0ms

series31.0ms

simplify69.0ms

prune200.0ms

localize16.0ms

rewrite36.0ms

series104.0ms

simplify90.0ms

prune273.0ms

regimes170.0ms

bsearch15.0ms

simplify2.0ms

end0.0ms

sample954.0ms

Profiling