Details

sample27.0ms

Algorithm

intervals

Results

6.0ms	197×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	20×	body	1280	valid
2.0ms	19×	body	640	valid
1.0ms	14×	body	320	valid
0.0ms	6×	body	160	valid

simplify73.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 13.5b

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)

rewrite35.0ms

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)

series106.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
58.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify37.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (29.0ms)

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

prune136.0ms

Filtered

71 candidates to 46 candidates (64.8%)

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: 12.6b

Counts

72 → 10

localize13.0ms

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))
1.6b	(- (/ 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:

27.0ms	(- (/ 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))
14.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series231.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
45.0ms	(/ alpha (+ (+ alpha beta) 2.0))
49.0ms	(/ beta (+ (+ alpha beta) 2.0))
76.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify48.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (36.0ms)

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

prune238.0ms

Filtered

123 candidates to 84 candidates (68.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	113	10	123
Fresh	9	0	9
Picked	1	0	1
Done	0	0	0
Total	123	10	133

Merged error: 4.4b

Counts

133 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

1.6b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
4.5b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
4.5b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
4.5b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

rewrite43.0ms

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:

17.0ms	(- (/ 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)))

series507.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
147.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
145.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
143.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

simplify126.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	333	1077
1	892	1029
2	4058	992
3	5001	980

prune298.0ms

Filtered

117 candidates to 86 candidates (73.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	119	8	127

Merged error: 4.4b

Counts

127 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

4.5b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
4.5b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
4.5b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
10.5b	(log (exp (cbrt (/ beta (+ (+ alpha beta) 2.0)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

102×	`*-un-lft-identity`
84×	`cbrt-prod`
60×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`distribute-lft-out`
25×	`log-pow`
24×	`exp-prod`
8×	`associate-/r/`
5×	`pow1`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `div-inv` `add-log-exp`
3×	`cbrt-div` `log-prod` `pow1/3`
1×	`rem-log-exp`

Counts

4 → 126

Calls

4 calls:

7.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
7.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
12.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
11.0ms	(log (exp (cbrt (/ beta (+ (+ alpha beta) 2.0)))))

series576.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
147.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
149.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
142.0ms	(log (exp (cbrt (/ beta (+ (+ alpha beta) 2.0)))))

simplify92.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	277	1194
1	676	1135
2	2748	1095
3	5001	1079

prune374.0ms

Filtered

138 candidates to 100 candidates (72.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	137	9	146

Merged error: 4.4b

Counts

146 → 9

regimes86.0ms

Accuracy

73.4% (3.4b remaining)

Error of 6.4b against oracle of 3.0b and baseline of 15.9b

bsearch56.0ms

Steps

Iters	Range		Point
8	5.874928139471969e+33	2.2452270734650783e+36	8.430079037037424e+35

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	48
1	46	48

end0.0ms

sample716.0ms

Algorithm

intervals

Results

182.0ms	5869×	body	80	valid
138.0ms	878×	body	1280	valid
123.0ms	8000×	pre	80	true
81.0ms	687×	body	640	valid
34.0ms	367×	body	320	valid
12.0ms	199×	body	160	valid