Details

sample23.0ms

Algorithm

intervals

Results

5.0ms	197×	body	80	valid
3.0ms	256×	pre	80	true
3.0ms	22×	body	1280	valid
2.0ms	25×	body	640	valid
1.0ms	9×	body	320	valid
0.0ms	3×	body	160	valid

simplify72.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

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)

rewrite114.0ms

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:

25.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
87.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series109.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
59.0ms	(+ (/ (- 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

prune142.0ms

Filtered

71 candidates to 46 candidates (64.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 13.5b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite139.0ms

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 → 89

Calls

3 calls:

20.0ms	(/ beta (+ (+ alpha beta) 2.0))
18.0ms	(/ alpha (+ (+ alpha beta) 2.0))
98.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series177.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ beta (+ (+ alpha beta) 2.0))
46.0ms	(/ alpha (+ (+ alpha beta) 2.0))
80.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify151.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	328	582
1	1072	553
2	4888	544
3	5001	544

prune209.0ms

Filtered

98 candidates to 66 candidates (67.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 2.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt beta)
0.6b	(cbrt beta)
0.6b	(cbrt beta)
1.2b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `times-frac` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 48

Calls

4 calls:

0.0ms	(cbrt beta)
0.0ms	(cbrt beta)
1.0ms	(cbrt beta)
97.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series623.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt beta)
178.0ms	(cbrt beta)
186.0ms	(cbrt beta)
78.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify46.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	165	261
1	394	243
2	1370	230
3	5002	228

prune210.0ms

Filtered

60 candidates to 50 candidates (83.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt beta))
0.6b	(cbrt (cbrt beta))
0.6b	(cbrt (cbrt beta))
1.2b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
15×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `times-frac` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (cbrt beta))
1.0ms	(cbrt (cbrt beta))
1.0ms	(cbrt (cbrt beta))
99.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series817.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt (cbrt beta))
247.0ms	(cbrt (cbrt beta))
252.0ms	(cbrt (cbrt beta))
74.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify43.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	178	366
1	398	342
2	1386	329
3	5002	327

prune285.0ms

Filtered

69 candidates to 62 candidates (89.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.4b

regimes61.0ms

Accuracy

69.2% (4.1b remaining)

Error of 7.0b against oracle of 2.9b and baseline of 16.1b

bsearch70.0ms

Steps

Iters	Range		Point
9	5.312605216618719e+48	4.3794405869739974e+54	5.368585705177939e+48

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	48
1	45	48

end0.0ms

sample623.0ms

Algorithm

intervals

Results

165.0ms	5820×	body	80	valid
112.0ms	882×	body	1280	valid
92.0ms	8000×	pre	80	true
71.0ms	717×	body	640	valid
29.0ms	392×	body	320	valid
10.0ms	189×	body	160	valid