Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	60×	body	1280	valid
6.0ms	139×	body	80	valid
5.0ms	37×	body	640	valid
5.0ms	243×	body	80	nan
1.0ms	14×	body	320	valid
0.0ms	6×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.8b

localize7.0ms

Local error

Found 2 expressions with local error:

1.5b	(- (log (+ N 1.0)) (log N))
3.2b	(log (+ N 1.0))

rewrite9.0ms

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 → 41

Calls

2 calls:

6.0ms	(- (log (+ N 1.0)) (log N))
2.0ms	(log (+ N 1.0))

series138.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(- (log (+ N 1.0)) (log N))
47.0ms	(log (+ N 1.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	212	281
1	547	264
2	1874	250
3	5001	247

prune104.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
1.7b	(log (/ (+ N 1.0) N))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
24×	`times-frac`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`log-prod`
7×	`add-exp-log` `distribute-lft-out`
4×	`add-cbrt-cube` `associate-/l*`
3×	`pow1` `associate-/r*`
2×	`div-exp` `rem-log-exp` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 60

Calls

2 calls:

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

series130.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (+ N 1.0) N)
82.0ms	(log (/ (+ N 1.0) N))

simplify103.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	233	373
1	773	351
2	3489	339
3	5002	339

prune108.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sqrt (+ N 1.0)) N)
1.7b	(+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))
3.0b	(log (sqrt (+ N 1.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
42×	`times-frac`
39×	`log-prod`
37×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`sqrt-prod`
25×	`associate-+r+`
13×	`distribute-lft-out`
9×	`pow1`
7×	`associate-+l+` `log-pow` `associate-/l*`
6×	`add-exp-log` `sqrt-div`
5×	`log-div` `add-cbrt-cube`
4×	`flip3-+` `flip-+`
3×	`associate-/r*` `add-log-exp`
2×	`associate-+l-` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `rem-log-exp` `clear-num` `sum-log`

Counts

3 → 115

Calls

3 calls:

8.0ms	(/ (sqrt (+ N 1.0)) N)
12.0ms	(+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))
3.0ms	(log (sqrt (+ N 1.0)))

series380.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ (sqrt (+ N 1.0)) N)
227.0ms	(+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))
81.0ms	(log (sqrt (+ N 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	458	1029
1	1402	939
2	5002	850

prune261.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))
3.2b	(log (+ N 1.0))
3.2b	(log (+ N 1.0))
3.2b	(log (+ N 1.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

7.0ms	(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))
2.0ms	(log (+ N 1.0))
2.0ms	(log (+ N 1.0))
2.0ms	(log (+ N 1.0))

series272.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))
41.0ms	(log (+ N 1.0))
47.0ms	(log (+ N 1.0))
41.0ms	(log (+ N 1.0))

simplify131.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	372	688
1	1204	621
2	4951	583
3	5001	583

prune222.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes28.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.1b

bsearch29.0ms

Steps

Iters	Range		Point
7	1836.721956390875	43768.65998072103	6058.788192135881

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	15
1	28	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

427.0ms	1799×	body	1280	valid
180.0ms	8106×	body	80	nan
172.0ms	1180×	body	640	valid
169.0ms	4126×	body	80	valid
54.0ms	570×	body	320	valid
25.0ms	325×	body	160	valid