Details

analyze2.0ms

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

sample33.0ms

Algorithm

intervals

Results

11.0ms	189×	body	80	valid
4.0ms	256×	pre	80	true
4.0ms	24×	body	1280	valid
3.0ms	23×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	8×	body	160	valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

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: 15.8b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
2.6b	(+ (/ (- 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:

9.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
17.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series19.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5370	1005

prune130.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	60	11	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	11	72

Merged error: 14.9b

Counts

72 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ beta (+ alpha 2.0))) 1.0))
0.0b	(/ alpha (+ beta (+ alpha 2.0)))
0.0b	(/ beta (+ (+ alpha beta) 2.0))
2.5b	(- (/ alpha (+ beta (+ alpha 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`
1×	`associate--r+` `associate--r-`

Counts

4 → 108

Calls

4 calls:

26.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ beta (+ alpha 2.0))) 1.0))
7.0ms	(/ alpha (+ beta (+ alpha 2.0)))
7.0ms	(/ beta (+ (+ alpha beta) 2.0))
13.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

series34.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	6016	1670

prune204.0ms

Filtered

88 candidates to 120 candidates (-36.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	113	7	120
Fresh	10	0	10
Picked	1	0	1
Done	0	0	0
Total	124	7	131

Merged error: 4.0b

Counts

131 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ alpha (+ beta (+ alpha 2.0)))
0.0b	(/ 1 (+ alpha (+ beta 2.0)))
0.1b	(* beta (/ 1 (+ alpha (+ beta 2.0))))
2.5b	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

92×	`*-un-lft-identity`
48×	`times-frac`
46×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`distribute-lft-out`
21×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`associate-/r*`
7×	`pow1`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`div-exp`
4×	`prod-exp`
3×	`cbrt-undiv` `flip3-+` `associate-l` `flip-+` `div-inv` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `cbrt-unprod` `difference-of-squares`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `flip--` `distribute-lft-out--` `inv-pow`

Counts

4 → 136

Calls

4 calls:

7.0ms	(/ alpha (+ beta (+ alpha 2.0)))
7.0ms	(/ 1 (+ alpha (+ beta 2.0)))
12.0ms	(* beta (/ 1 (+ alpha (+ beta 2.0))))
12.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

series28.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ alpha (+ beta (+ alpha 2.0)))
5.0ms	(/ 1 (+ alpha (+ beta 2.0)))
6.0ms	(* beta (/ 1 (+ alpha (+ beta 2.0))))
11.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

simplify60.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5332	1448

prune184.0ms

Filtered

89 candidates to 148 candidates (-66.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	148	7	155

Merged error: 4.0b

Counts

155 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

2.5b	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)
6.3b	(cbrt (/ beta (+ alpha (+ beta 2.0))))
6.3b	(cbrt (/ beta (+ alpha (+ beta 2.0))))
6.3b	(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 → 104

Calls

4 calls:

15.0ms	(- (/ alpha (+ beta (+ alpha 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))))

series73.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)
20.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))
20.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))
21.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))

simplify38.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5082	1711

prune277.0ms

Filtered

92 candidates to 116 candidates (-26.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	114	9	123

Merged error: 4.0b

Counts

123 → 9

regimes166.0ms

Accuracy

75.5% (3.0b remaining)

Error of 5.8b against oracle of 2.8b and baseline of 15.0b

bsearch18.0ms

Steps

Iters	Range		Point
9	0.301381402804824	139914.78787863956	114971.60375650562

simplify7.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	358	88
1	358	88

end0.0ms

sample783.0ms

Algorithm

intervals

Results

218.0ms	5936×	body	80	valid
146.0ms	803×	body	1280	valid
136.0ms	8000×	pre	80	true
95.0ms	689×	body	640	valid
39.0ms	378×	body	320	valid
13.0ms	194×	body	160	valid

Details

analyze2.0ms

sample33.0ms

simplify55.0ms

prune5.0ms

localize8.0ms

rewrite29.0ms

series19.0ms

simplify50.0ms

prune130.0ms

localize12.0ms

rewrite56.0ms

series34.0ms

simplify44.0ms

prune204.0ms

localize16.0ms

rewrite43.0ms

series28.0ms

simplify60.0ms

prune184.0ms

localize16.0ms

rewrite38.0ms

series73.0ms

simplify38.0ms

prune277.0ms

regimes166.0ms

bsearch18.0ms

simplify7.0ms

end0.0ms

sample783.0ms

Profiling