Details

sample33.0ms

Algorithm

intervals

Results

8.0ms	256×	pre	80	true
6.0ms	182×	body	80	valid
4.0ms	26×	body	1280	valid
3.0ms	22×	body	640	valid
2.0ms	20×	body	320	valid
0.0ms	6×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	418	13
1	418	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: 17.6b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
2.4b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite28.0ms

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

series23.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
12.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify46.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5295	998

prune128.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	56	15	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	15	72

Merged error: 16.7b

Counts

72 → 15

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)) 2.0)
0.0b	(/ alpha (+ beta (+ alpha 2.0)))
2.4b	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
56×	`times-frac`
36×	`add-cube-cbrt`
24×	`distribute-lft-out`
13×	`associate-/r` `associate-/l` `distribute-lft-out--`
10×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`add-log-exp`
4×	`pow1` `associate-/r/` `associate-/l/`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
2×	`flip3-+` `frac-sub` `flip-+`
1×	`sub-neg` `diff-log` `div-sub`

Counts

4 → 137

Calls

4 calls:

7.0ms	(/ beta (+ (+ alpha beta) 2.0))
26.0ms	(/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ beta (+ alpha 2.0))) 1.0)) 2.0)
8.0ms	(/ alpha (+ beta (+ alpha 2.0)))
12.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

series42.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ beta (+ (+ alpha beta) 2.0))
14.0ms	(/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ beta (+ alpha 2.0))) 1.0)) 2.0)
7.0ms	(/ alpha (+ beta (+ alpha 2.0)))
12.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)

simplify51.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5125	2474

prune250.0ms

Filtered

108 candidates to 149 candidates (-38.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	142	7	149
Fresh	12	2	14
Picked	1	0	1
Done	0	0	0
Total	155	9	164

Merged error: 3.1b

Counts

164 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)
6.2b	(cbrt (/ beta (+ alpha (+ beta 2.0))))
6.2b	(cbrt (/ beta (+ alpha (+ beta 2.0))))
6.2b	(cbrt (/ beta (+ alpha (+ beta 2.0))))

rewrite34.0ms

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:

12.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)
6.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))
6.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))
6.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))

series81.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (/ alpha (+ beta (+ alpha 2.0))) 1.0)
22.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))
22.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))
26.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))

simplify35.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5037	1713

prune289.0ms

Filtered

92 candidates to 117 candidates (-27.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	113	4	117
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	117	9	126

Merged error: 3.1b

Counts

126 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

3.1b	(- (* alpha (/ (/ alpha (+ beta (+ alpha 2.0))) (+ beta (+ alpha 2.0)))) (* 1.0 1.0))
6.2b	(cbrt (/ beta (+ alpha (+ beta 2.0))))
6.2b	(cbrt (/ beta (+ alpha (+ beta 2.0))))
6.2b	(cbrt (/ beta (+ alpha (+ beta 2.0))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
63×	`cbrt-prod`
45×	`times-frac`
31×	`add-sqr-sqrt` `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`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 102

Calls

4 calls:

19.0ms	(- (* alpha (/ (/ alpha (+ beta (+ alpha 2.0))) (+ beta (+ alpha 2.0)))) (* 1.0 1.0))
8.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))
6.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))
6.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))

series83.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (* alpha (/ (/ alpha (+ beta (+ alpha 2.0))) (+ beta (+ alpha 2.0)))) (* 1.0 1.0))
24.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))
21.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))
22.0ms	(cbrt (/ beta (+ alpha (+ beta 2.0))))

simplify62.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4951	1772
1	4951	1772

prune320.0ms

Filtered

90 candidates to 114 candidates (-26.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	114	9	123

Merged error: 3.1b

Counts

123 → 9

regimes152.0ms

Accuracy

78.6% (2.8b remaining)

Error of 5.7b against oracle of 2.9b and baseline of 15.9b

bsearch17.0ms

Steps

Iters	Range		Point
8	24020.80985516006	397187322.43052036	389840199.85676336

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	87
1	49	87

end0.0ms

sample788.0ms

Algorithm

intervals

Results

180.0ms	5821×	body	80	valid
144.0ms	933×	body	1280	valid
123.0ms	8000×	pre	80	true
86.0ms	716×	body	640	valid
32.0ms	340×	body	320	valid
11.0ms	190×	body	160	valid

Details

sample33.0ms

simplify14.0ms

prune5.0ms

localize7.0ms

rewrite28.0ms

series23.0ms

simplify46.0ms

prune128.0ms

localize11.0ms

rewrite59.0ms

series42.0ms

simplify51.0ms

prune250.0ms

localize15.0ms

rewrite34.0ms

series81.0ms

simplify35.0ms

prune289.0ms

localize20.0ms

rewrite43.0ms

series83.0ms

simplify62.0ms

prune320.0ms

regimes152.0ms

bsearch17.0ms

simplify1.0ms

end0.0ms

sample788.0ms

Profiling