Details

analyze8.0ms

Algorithm

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
28.1%	28.1%	43.8%	2
56.2%	0%	43.8%	3

sample27.0ms

Algorithm

intervals

Results

5.0ms	176×	body	80	valid
5.0ms	32×	body	1280	valid
4.0ms	256×	pre	80	true
3.0ms	28×	body	640	valid
1.0ms	11×	body	320	valid
1.0ms	9×	body	160	valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5002	13

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 18.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
1.5b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite30.0ms

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

series24.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
16.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5370	1005

prune117.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	62	9	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	9	72

Merged error: 17.3b

Counts

72 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ beta (+ (+ alpha beta) 2.0))
0.0b	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ beta (+ alpha 2.0))) 1.0))
0.0b	(/ alpha (+ beta (+ alpha 2.0)))
1.6b	(- (/ alpha (+ beta (+ alpha 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`
1×	`associate--r+` `associate--r-`

Counts

4 → 108

Calls

4 calls:

7.0ms	(/ beta (+ (+ alpha beta) 2.0))
27.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ beta (+ alpha 2.0))) 1.0))
10.0ms	(/ alpha (+ beta (+ alpha 2.0)))
13.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

series38.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify48.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	6016	1670

prune213.0ms

Filtered

88 candidates to 120 candidates (-36.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	110	10	120
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	117	12	129

Merged error: 3.8b

Counts

129 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ alpha (+ alpha (+ beta 2.0)))
0.0b	(/ alpha (+ alpha (+ beta 2.0)))
0.1b	(/ (* (+ (/ alpha (+ alpha (+ beta 2.0))) 1.0) (- beta (* (- (/ alpha (+ alpha (+ beta 2.0))) 1.0) (+ alpha (+ beta 2.0))))) (* (+ alpha (+ beta 2.0)) (+ (/ alpha (+ alpha (+ beta 2.0))) 1.0)))
1.6b	(- (/ alpha (+ alpha (+ beta 2.0))) 1.0)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
32×	`times-frac`
29×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `distribute-lft-out`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r/`
11×	`flip3-+` `associate-/r*` `flip-+`
8×	`frac-times` `associate-/l/`
7×	`associate-/l*`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`pow1` `flip3--` `associate-r/` `associate-l/` `prod-exp` `flip--` `cbrt-unprod`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`difference-of-squares`
1×	`sub-neg` `diff-log` `distribute-lft-out--`

Counts

4 → 125

Calls

4 calls:

7.0ms	(/ alpha (+ alpha (+ beta 2.0)))
7.0ms	(/ alpha (+ alpha (+ beta 2.0)))
44.0ms	(/ (* (+ (/ alpha (+ alpha (+ beta 2.0))) 1.0) (- beta (* (- (/ alpha (+ alpha (+ beta 2.0))) 1.0) (+ alpha (+ beta 2.0))))) (* (+ alpha (+ beta 2.0)) (+ (/ alpha (+ alpha (+ beta 2.0))) 1.0)))
13.0ms	(- (/ alpha (+ alpha (+ beta 2.0))) 1.0)

series67.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ alpha (+ alpha (+ beta 2.0)))
7.0ms	(/ alpha (+ alpha (+ beta 2.0)))
41.0ms	(/ (* (+ (/ alpha (+ alpha (+ beta 2.0))) 1.0) (- beta (* (- (/ alpha (+ alpha (+ beta 2.0))) 1.0) (+ alpha (+ beta 2.0))))) (* (+ alpha (+ beta 2.0)) (+ (/ alpha (+ alpha (+ beta 2.0))) 1.0)))
12.0ms	(- (/ alpha (+ alpha (+ beta 2.0))) 1.0)

simplify54.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4983	2441
1	4983	2441

prune288.0ms

Filtered

97 candidates to 137 candidates (-41.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	140	9	149

Merged error: 0.8b

Counts

149 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ alpha (+ alpha (+ beta 2.0)))
0.0b	(/ alpha (+ alpha (+ beta 2.0)))
0.0b	(/ (* (+ (/ alpha (+ alpha (+ beta 2.0))) 1.0) (- beta (* (- (/ alpha (+ alpha (+ beta 2.0))) 1.0) (+ alpha (+ beta 2.0))))) (* (+ alpha (+ beta 2.0)) (+ 0 1.0)))
1.6b	(- (/ alpha (+ alpha (+ beta 2.0))) 1.0)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
32×	`times-frac`
29×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `distribute-lft-out`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r/`
11×	`flip3-+` `associate-/r*` `flip-+`
8×	`frac-times` `associate-/l/`
7×	`associate-/l*`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`pow1` `flip3--` `associate-r/` `associate-l/` `prod-exp` `flip--` `cbrt-unprod`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`difference-of-squares`
1×	`sub-neg` `diff-log` `distribute-lft-out--`

Counts

4 → 125

Calls

4 calls:

7.0ms	(/ alpha (+ alpha (+ beta 2.0)))
7.0ms	(/ alpha (+ alpha (+ beta 2.0)))
33.0ms	(/ (* (+ (/ alpha (+ alpha (+ beta 2.0))) 1.0) (- beta (* (- (/ alpha (+ alpha (+ beta 2.0))) 1.0) (+ alpha (+ beta 2.0))))) (* (+ alpha (+ beta 2.0)) (+ 0 1.0)))
13.0ms	(- (/ alpha (+ alpha (+ beta 2.0))) 1.0)

series85.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ alpha (+ alpha (+ beta 2.0)))
7.0ms	(/ alpha (+ alpha (+ beta 2.0)))
57.0ms	(/ (* (+ (/ alpha (+ alpha (+ beta 2.0))) 1.0) (- beta (* (- (/ alpha (+ alpha (+ beta 2.0))) 1.0) (+ alpha (+ beta 2.0))))) (* (+ alpha (+ beta 2.0)) (+ 0 1.0)))
12.0ms	(- (/ alpha (+ alpha (+ beta 2.0))) 1.0)

simplify56.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5693	2520

prune241.0ms

Filtered

97 candidates to 137 candidates (-41.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	137	9	146

Merged error: 0.8b

Counts

146 → 9

regimes156.0ms

Accuracy

61.6% (5.4b remaining)

Error of 5.9b against oracle of 0.5b and baseline of 14.5b

bsearch12.0ms

Steps

Iters	Range		Point
6	18156382.132342707	118732147.27273342	32596417.711401034

simplify16.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	774	102
1	774	102

end0.0ms

sample718.0ms

Algorithm

intervals

Results

183.0ms	5865×	body	80	valid
134.0ms	8000×	pre	80	true
124.0ms	790×	body	1280	valid
81.0ms	682×	body	640	valid
42.0ms	440×	body	320	valid
14.0ms	223×	body	160	valid

Details

analyze8.0ms

sample27.0ms

simplify55.0ms

prune5.0ms

localize8.0ms

rewrite30.0ms

series24.0ms

simplify48.0ms

prune117.0ms

localize11.0ms

rewrite60.0ms

series38.0ms

simplify48.0ms

prune213.0ms

localize14.0ms

rewrite77.0ms

series67.0ms

simplify54.0ms

prune288.0ms

localize15.0ms

rewrite67.0ms

series85.0ms

simplify56.0ms

prune241.0ms

regimes156.0ms

bsearch12.0ms

simplify16.0ms

end0.0ms

sample718.0ms

Profiling