Details

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	0%	50%	4

sample37.0ms

Algorithm

intervals

Results

14.0ms	48×	body	1280	valid
8.0ms	45×	body	640	valid
7.0ms	135×	body	80	valid
2.0ms	18×	body	320	valid
1.0ms	10×	body	160	valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

prune2.0ms

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: 28.3b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

3.0b	(log (+ N 1.0))
3.2b	(- (log (+ N 1.0)) (log N))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
7×	`pow1` `add-sqr-sqrt`
5×	`add-cube-cbrt` `log-pow`
4×	`log-div` `associate--l+` `distribute-lft-out--`
3×	`add-exp-log` `associate--r+`
2×	`associate--l-` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 40

Calls

2 calls:

3.0ms	(log (+ N 1.0))
7.0ms	(- (log (+ N 1.0)) (log N))

series10.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(log (+ N 1.0))
7.0ms	(- (log (+ N 1.0)) (log N))

simplify51.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4952	422
1	4952	422

prune73.0ms

Filtered

35 candidates to 46 candidates (-31.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	2	47

Merged error: 0.0b

Counts

47 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N)))))
17.3b	(log (+ (* N N) (* 1.0 (- 1.0 N))))
20.8b	(log (+ (pow N 3) (pow 1.0 3)))
22.6b	(- (- (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (log N))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
36×	`log-prod`
30×	`associate--l+`
23×	`pow1`
22×	`distribute-lft-out--`
19×	`log-pow`
15×	`distribute-lft-out`
14×	`add-sqr-sqrt`
12×	`unpow-prod-down` `cube-prod`
10×	`add-cube-cbrt` `log-div`
6×	`add-exp-log` `associate--r+`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`diff-log` `add-cbrt-cube` `associate--r-`
3×	`associate--l-` `sub-neg` `sum-cubes`
2×	`flip3--` `rem-log-exp` `flip--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

16.0ms	(- (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N)))))
3.0ms	(log (+ (* N N) (* 1.0 (- 1.0 N))))
10.0ms	(log (+ (pow N 3) (pow 1.0 3)))
21.0ms	(- (- (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (log N))

series39.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N)))))
4.0ms	(log (+ (* N N) (* 1.0 (- 1.0 N))))
14.0ms	(log (+ (pow N 3) (pow 1.0 3)))
9.0ms	(- (- (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (log N))

simplify79.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4949	2373
1	4949	2373

prune229.0ms

Filtered

82 candidates to 117 candidates (-42.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	116	3	119

Merged error: 0b

Counts

119 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* N (* 1.0 (- 1.0 N)))
3.4b	(log (/ (+ (pow N 3) (pow 1.0 3)) (+ (pow N 3) (* N (* 1.0 (- 1.0 N))))))
11.8b	(+ (pow N 3) (* N (* 1.0 (- 1.0 N))))
19.9b	(/ (+ (pow N 3) (pow 1.0 3)) (+ (pow N 3) (* N (* 1.0 (- 1.0 N)))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

124×	`*-un-lft-identity`
72×	`times-frac`
65×	`distribute-lft-out`
42×	`log-prod`
36×	`unpow-prod-down` `cube-prod`
34×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`cube-mult`
14×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`pow1`
9×	`sum-cubes` `associate-/l*`
8×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
6×	`add-log-exp`
4×	`associate-+r+` `flip3-+` `associate-r/` `associate-/r` `associate-/r/` `flip-+`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`div-exp` `rem-log-exp` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `log-div` `flip3--` `frac-2neg` `associate-r` `clear-num` `sum-log` `log-pow` `*-commutative` `flip--`

Counts

4 → 158

Calls

4 calls:

7.0ms	(* N (* 1.0 (- 1.0 N)))
22.0ms	(log (/ (+ (pow N 3) (pow 1.0 3)) (+ (pow N 3) (* N (* 1.0 (- 1.0 N))))))
9.0ms	(+ (pow N 3) (* N (* 1.0 (- 1.0 N))))
21.0ms	(/ (+ (pow N 3) (pow 1.0 3)) (+ (pow N 3) (* N (* 1.0 (- 1.0 N)))))

series31.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* N (* 1.0 (- 1.0 N)))
7.0ms	(log (/ (+ (pow N 3) (pow 1.0 3)) (+ (pow N 3) (* N (* 1.0 (- 1.0 N))))))
4.0ms	(+ (pow N 3) (* N (* 1.0 (- 1.0 N))))
15.0ms	(/ (+ (pow N 3) (pow 1.0 3)) (+ (pow N 3) (* N (* 1.0 (- 1.0 N)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5229	3880

prune281.0ms

Filtered

98 candidates to 170 candidates (-73.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	170	3	173

Merged error: 0b

Counts

173 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (- 1.0 (/ 0.5 N)) N)
0.4b	(/ 0.3333333333333333 (pow N 3))
13.6b	(+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

62×	`times-frac`
59×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
39×	`add-cube-cbrt`
15×	`associate-/r*`
12×	`unpow-prod-down` `cube-prod`
10×	`add-exp-log`
9×	`associate-/l*`
8×	`difference-of-squares`
7×	`add-cbrt-cube`
5×	`distribute-lft-out--` `add-log-exp`
4×	`cube-mult` `unpow3` `div-exp` `sqr-pow`
3×	`pow1` `distribute-lft-out`
2×	`cbrt-undiv` `frac-2neg` `div-sub` `clear-num` `div-inv` `associate-/l/`
1×	`+-commutative` `pow-to-exp` `associate-+r-` `flip3--` `flip3-+` `frac-add` `pow-exp` `sum-log` `flip--` `flip-+`

Counts

3 → 123

Calls

3 calls:

10.0ms	(/ (- 1.0 (/ 0.5 N)) N)
5.0ms	(/ 0.3333333333333333 (pow N 3))
41.0ms	(+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))

series14.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ (- 1.0 (/ 0.5 N)) N)
4.0ms	(/ 0.3333333333333333 (pow N 3))
4.0ms	(+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))

simplify49.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5039	1426

prune141.0ms

Filtered

82 candidates to 132 candidates (-61.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	132	3	135

Merged error: 0b

Counts

135 → 3

regimes32.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 30.7b

bsearch21.0ms

Steps

Iters	Range		Point
9	3.304717207774019	2305590.4907877953	7373.693418536667

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	37
1	27	37

end0.0ms

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	0%	50%	4

sample1.2s

Algorithm

intervals

Results

515.0ms	1768×	body	1280	valid
239.0ms	1237×	body	640	valid
208.0ms	4071×	body	80	valid
79.0ms	621×	body	320	valid
24.0ms	303×	body	160	valid

Details

analyze1.0ms

sample37.0ms

simplify2.0ms

prune2.0ms

localize11.0ms

rewrite10.0ms

series10.0ms

simplify51.0ms

prune73.0ms

localize16.0ms

rewrite55.0ms

series39.0ms

simplify79.0ms

prune229.0ms

localize12.0ms

rewrite66.0ms

series31.0ms

simplify59.0ms

prune281.0ms

localize9.0ms

rewrite60.0ms

series14.0ms

simplify49.0ms

prune141.0ms

regimes32.0ms

bsearch21.0ms

simplify1.0ms

end0.0ms

analyze1.0ms

sample1.2s

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