Details

analyze42.0ms

Algorithm

Search

True	Other	False	Iter
0%	14%	86%	0
0%	14%	86%	1
0%	14%	86%	2
0%	14%	86%	3
0%	14%	86%	4
0%	14%	86%	5
0%	14%	86%	6
8.1%	5.9%	86%	7
10.3%	3.7%	86%	8
12.6%	1.5%	86%	9
13.9%	0.1%	86%	10
14%	0%	86%	11
14%	0%	86%	12
14%	0%	86%	13
14%	0%	86%	14

sample35.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4776	53
1	4776	53

prune12.0ms

Filtered

1 candidates to 1 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: 50.0b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ alpha (+ beta (* i 2.0))) (* (+ alpha (+ beta (* i 2.0))) (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0)))
0.1b	(* (+ alpha (+ beta (* i 2.0))) (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0))
39.1b	(* (* i (+ i (+ alpha beta))) (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (* (+ alpha (+ beta (* i 2.0))) (* (+ alpha (+ beta (* i 2.0))) (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0)))))
47.7b	(/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (* (+ alpha (+ beta (* i 2.0))) (* (+ alpha (+ beta (* i 2.0))) (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0))))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

90×	`frac-times`
60×	`flip3-+` `flip-+`
52×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
49×	`associate-*r/`
38×	`associate-r`
30×	`flip3--` `flip--`
28×	`associate-*l/`
25×	`prod-exp` `cbrt-unprod`
21×	`distribute-rgt-in` `distribute-lft-in`
16×	`pow1`
15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`associate--l+`
11×	`add-cube-cbrt`
9×	`cbrt-undiv` `div-exp` `associate-l`
7×	`pow-prod-down`
6×	`sub-neg` `times-frac`
4×	`add-log-exp`
3×	`-commutative` `associate-/l`
2×	`div-inv` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `clear-num` `associate-/r*` `difference-of-squares` `unswap-sqr`

Counts

4 → 207

Calls

4 calls:

26.0ms	(* (+ alpha (+ beta (* i 2.0))) (* (+ alpha (+ beta (* i 2.0))) (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0)))
17.0ms	(* (+ alpha (+ beta (* i 2.0))) (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0))
38.0ms	(* (* i (+ i (+ alpha beta))) (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (* (+ alpha (+ beta (* i 2.0))) (* (+ alpha (+ beta (* i 2.0))) (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0)))))
32.0ms	(/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (* (+ alpha (+ beta (* i 2.0))) (* (+ alpha (+ beta (* i 2.0))) (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0))))

series584.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (+ alpha (+ beta (* i 2.0))) (* (+ alpha (+ beta (* i 2.0))) (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0)))
56.0ms	(* (+ alpha (+ beta (* i 2.0))) (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0))
314.0ms	(* (* i (+ i (+ alpha beta))) (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (* (+ alpha (+ beta (* i 2.0))) (* (+ alpha (+ beta (* i 2.0))) (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0)))))
120.0ms	(/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (* (+ alpha (+ beta (* i 2.0))) (* (+ alpha (+ beta (* i 2.0))) (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0))))

simplify65.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4986	9875
1	4986	9875

prune570.0ms

Filtered

145 candidates to 219 candidates (-51.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	211	8	219
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	212	9	221

Merged error: 37.4b

Counts

221 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

1.8b	(exp (- (log (+ (* i (+ i (+ alpha beta))) (* alpha beta))) (+ (log (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0)) (* 2 (log (+ alpha (+ beta (* i 2.0))))))))
37.2b	(log (+ (* i (+ i (+ alpha beta))) (* alpha beta)))
39.1b	(* (* i (+ i (+ alpha beta))) (exp (- (log (+ (* i (+ i (+ alpha beta))) (* alpha beta))) (+ (log (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0)) (* 2 (log (+ alpha (+ beta (* i 2.0)))))))))
40.8b	(log (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity`
12×	`pow1` `exp-sum`
10×	`add-cube-cbrt`
9×	`add-exp-log` `associate-r` `add-cbrt-cube`
8×	`log-div`
7×	`add-log-exp`
6×	`exp-prod` `associate--l+`
5×	`associate-*r/`
4×	`associate-+l-` `exp-diff` `associate--r-`
3×	`flip3--` `flip3-+` `pow-prod-down` `prod-exp` `log-pow` `flip--` `cbrt-unprod` `flip-+` `rem-exp-log`
2×	`frac-times` `sub-neg` `diff-log` `rem-log-exp` `associate-*l/` `distribute-lft-out--` `difference-of-squares`
1×	`associate-l` `sum-log` `*-commutative`

Counts

4 → 81

Calls

4 calls:

14.0ms	(exp (- (log (+ (* i (+ i (+ alpha beta))) (* alpha beta))) (+ (log (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0)) (* 2 (log (+ alpha (+ beta (* i 2.0))))))))
7.0ms	(log (+ (* i (+ i (+ alpha beta))) (* alpha beta)))
25.0ms	(* (* i (+ i (+ alpha beta))) (exp (- (log (+ (* i (+ i (+ alpha beta))) (* alpha beta))) (+ (log (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0)) (* 2 (log (+ alpha (+ beta (* i 2.0)))))))))
11.0ms	(log (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0))

series787.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(exp (- (log (+ (* i (+ i (+ alpha beta))) (* alpha beta))) (+ (log (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0)) (* 2 (log (+ alpha (+ beta (* i 2.0))))))))
17.0ms	(log (+ (* i (+ i (+ alpha beta))) (* alpha beta)))
427.0ms	(* (* i (+ i (+ alpha beta))) (exp (- (log (+ (* i (+ i (+ alpha beta))) (* alpha beta))) (+ (log (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0)) (* 2 (log (+ alpha (+ beta (* i 2.0)))))))))
52.0ms	(log (- (* (+ alpha (+ beta (* i 2.0))) (+ alpha (+ beta (* i 2.0)))) 1.0))

simplify90.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5347	2539

prune273.0ms

Filtered

82 candidates to 93 candidates (-13.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	93	9	102

Merged error: 9.5b

Counts

102 → 9

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (/ 1 i) (* 4.0 (* 2.0 2.0)))
0.1b	(* i (/ (/ 1 i) (* 4.0 (* 2.0 2.0))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-exp-log`
53×	`times-frac`
52×	`add-cbrt-cube`
37×	`prod-exp`
36×	`div-exp`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
19×	`cbrt-unprod`
18×	`cbrt-undiv`
17×	`associate-r`
13×	`associate-/l*`
6×	`rec-exp` `1-exp`
5×	`div-inv`
4×	`pow1`
3×	`associate-l`
2×	`add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

2 → 107

Calls

2 calls:

9.0ms	(/ (/ 1 i) (* 4.0 (* 2.0 2.0)))
13.0ms	(* i (/ (/ 1 i) (* 4.0 (* 2.0 2.0))))

series3.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(/ (/ 1 i) (* 4.0 (* 2.0 2.0)))
1.0ms	(* i (/ (/ 1 i) (* 4.0 (* 2.0 2.0))))

simplify52.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5095	1021

prune122.0ms

Filtered

59 candidates to 113 candidates (-91.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	113	9	122

Merged error: 9.4b

Counts

122 → 9

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	8	8
Picked	1	1
Done	0	0
Total	9	9

Merged error: 9.4b

Counts

9 → 9

regimes316.0ms

Accuracy

48.5% (4.1b remaining)

Error of 15.4b against oracle of 11.4b and baseline of 19.3b

bsearch234.0ms

Steps

Iters	Range		Point
7	1.3421813948427104e+85	2.1843125012928166e+86	1.5384851461748574e+86

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	58
1	33	58

end0.0ms

analyze42.0ms

Algorithm

Search

True	Other	False	Iter
0%	14%	86%	0
0%	14%	86%	1
0%	14%	86%	2
0%	14%	86%	3
0%	14%	86%	4
0%	14%	86%	5
0%	14%	86%	6
8.1%	5.9%	86%	7
10.3%	3.7%	86%	8
12.6%	1.5%	86%	9
13.9%	0.1%	86%	10
14%	0%	86%	11
14%	0%	86%	12
14%	0%	86%	13
14%	0%	86%	14

sample994.0ms

Algorithm

intervals

Results

650.0ms	8000×	body	80	valid
172.0ms	8000×	pre	80	true

Details

analyze42.0ms

sample35.0ms

simplify32.0ms

prune12.0ms

localize17.0ms

rewrite124.0ms

series584.0ms

simplify65.0ms

prune570.0ms

localize26.0ms

rewrite59.0ms

series787.0ms

simplify90.0ms

prune273.0ms

localize9.0ms

rewrite28.0ms

series3.0ms

simplify52.0ms

prune122.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes316.0ms

bsearch234.0ms

simplify2.0ms

end0.0ms

analyze42.0ms

sample994.0ms

Profiling