Details

sample36.0ms

Algorithm

intervals

Results

6.0ms	190×	body	80	valid
4.0ms	256×	pre	80	true
4.0ms	26×	body	1280	valid
3.0ms	24×	body	640	valid
1.0ms	11×	body	320	valid
0.0ms	5×	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

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 15.7b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
1.2b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite28.0ms

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))
16.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series22.0ms

Counts

2 → 6

Calls

2 calls:

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

prune284.0ms

Filtered

71 candidates to 46 candidates (35.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	61	10	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	10	72

Merged error: 15.1b

Counts

72 → 10

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))
1.2b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite56.0ms

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:

24.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
7.0ms	(/ alpha (+ (+ alpha beta) 2.0))
7.0ms	(/ beta (+ (+ alpha beta) 2.0))
15.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series38.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
7.0ms	(/ alpha (+ (+ alpha beta) 2.0))
6.0ms	(/ beta (+ (+ alpha beta) 2.0))
11.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify47.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (36.0ms)

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

prune772.0ms

Filtered

123 candidates to 84 candidates (31.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	119	4	123
Fresh	8	1	9
Picked	1	0	1
Done	0	0	0
Total	128	5	133

Merged error: 2.2b

Counts

133 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
6.7b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
6.7b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
6.7b	(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 → 105

Calls

4 calls:

12.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
9.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
6.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
7.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

series77.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (/ 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)))

simplify124.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (26.0ms)

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

prune873.0ms

Filtered

117 candidates to 86 candidates (26.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	116	6	122

Merged error: 2.2b

Counts

122 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ beta (+ (+ alpha beta) 2.0))
0.6b	(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
1.2b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
11.2b	(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

7.0ms	(/ beta (+ (+ alpha beta) 2.0))
24.0ms	(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
12.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
26.0ms	(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ beta (+ (+ alpha beta) 2.0))
12.0ms	(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
11.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
22.0ms	(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	467	1121
1	1528	1058
2	5001	1029

prune812.0ms

Filtered

107 candidates to 75 candidates (29.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	105	8	113

Merged error: 2.2b

Counts

113 → 8

regimes142.0ms

Accuracy

74.5% (3.2b remaining)

Error of 6.4b against oracle of 3.2b and baseline of 15.7b

bsearch30.0ms

Steps

Iters	Range		Point
4	5.0434724195762976e+17	9.112924107952872e+17	5.26803117544354e+17

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	25
1	39	25
2	41	25
3	41	25

end0.0ms

sample763.0ms

Algorithm

intervals

Results

169.0ms	5855×	body	80	valid
131.0ms	884×	body	1280	valid
113.0ms	8000×	pre	80	true
83.0ms	702×	body	640	valid
32.0ms	354×	body	320	valid
14.0ms	205×	body	160	valid

Details

sample36.0ms

simplify68.0ms

prune4.0ms

localize8.0ms

rewrite28.0ms

series22.0ms

simplify35.0ms

prune284.0ms

localize9.0ms

rewrite56.0ms

series38.0ms

simplify47.0ms

prune772.0ms

localize13.0ms

rewrite38.0ms

series77.0ms

simplify124.0ms

prune873.0ms

localize12.0ms

rewrite72.0ms

series51.0ms

simplify46.0ms

prune812.0ms

regimes142.0ms

bsearch30.0ms

simplify2.0ms

end0.0ms

sample763.0ms

Profiling