Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	191×	body	80	valid
5.0ms	25×	body	1280	valid
4.0ms	256×	pre	80	true
2.0ms	17×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	11×	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 (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: 15.4b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
3.1b	(+ (/ (- 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:

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

series108.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
60.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify36.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (29.0ms)

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

prune222.0ms

Filtered

71 candidates to 46 candidates (64.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	59	12	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	12	72

Merged error: 14.7b

Counts

72 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.0b	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
0.0b	(/ beta (+ (+ alpha beta) 2.0))
3.1b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite60.0ms

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:

7.0ms	(/ alpha (+ (+ alpha beta) 2.0))
29.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
7.0ms	(/ beta (+ (+ alpha beta) 2.0))
13.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series223.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ alpha (+ (+ alpha beta) 2.0))
60.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
44.0ms	(/ beta (+ (+ alpha beta) 2.0))
76.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify52.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (36.0ms)

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

prune358.0ms

Filtered

123 candidates to 84 candidates (68.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	117	6	123
Fresh	10	1	11
Picked	1	0	1
Done	0	0	0
Total	128	7	135

Merged error: 2.6b

Counts

135 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt beta)
0.7b	(cbrt beta)
0.7b	(cbrt beta)
3.1b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite17.0ms

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:

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

series603.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt beta)
170.0ms	(cbrt beta)
172.0ms	(cbrt beta)
76.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify47.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (42.0ms)

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

prune270.0ms

Filtered

60 candidates to 50 candidates (83.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	60	7	67

Merged error: 2.6b

Counts

67 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt beta)
0.7b	(cbrt beta)
0.7b	(cbrt beta)
3.1b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite17.0ms

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:

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

series617.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt beta)
178.0ms	(cbrt beta)
178.0ms	(cbrt beta)
77.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify47.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (42.0ms)

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

prune215.0ms

Filtered

60 candidates to 50 candidates (83.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	60	7	67

Merged error: 2.6b

Counts

67 → 7

regimes131.0ms

Accuracy

74.7% (3.2b remaining)

Error of 6.0b against oracle of 2.8b and baseline of 15.3b

bsearch59.0ms

Steps

Iters	Range		Point
9	5018256305.078003	3.680002419038688e+18	7.976921263054418e+16

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	33
1	45	33
2	47	33
3	47	33

end0.0ms

sample784.0ms

Algorithm

intervals

Results

187.0ms	5934×	body	80	valid
128.0ms	835×	body	1280	valid
121.0ms	8000×	pre	80	true
78.0ms	663×	body	640	valid
35.0ms	391×	body	320	valid
10.0ms	177×	body	160	valid

Details

sample37.0ms

simplify68.0ms

prune4.0ms

localize8.0ms

rewrite29.0ms

series108.0ms

simplify36.0ms

prune222.0ms

localize9.0ms

rewrite60.0ms

series223.0ms

simplify52.0ms

prune358.0ms

localize18.0ms

rewrite17.0ms

series603.0ms

simplify47.0ms

prune270.0ms

localize18.0ms

rewrite17.0ms

series617.0ms

simplify47.0ms

prune215.0ms

regimes131.0ms

bsearch59.0ms

simplify2.0ms

end0.0ms

sample784.0ms

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