Details

sample69.0ms

Algorithm

intervals

Results

18.0ms	55×	body	1280	valid
16.0ms	266×	body	80	nan
11.0ms	48×	body	640	valid
11.0ms	129×	body	80	valid
2.0ms	12×	body	320	valid
1.0ms	12×	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: 29.8b

localize7.0ms

Local error

Found 2 expressions with local error:

3.3b	(- (log (+ N 1.0)) (log N))
4.0b	(log (+ N 1.0))

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 → 41

Calls

2 calls:

6.0ms	(- (log (+ N 1.0)) (log N))
3.0ms	(log (+ N 1.0))

series136.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(- (log (+ N 1.0)) (log N))
45.0ms	(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

prune106.0ms

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)
3.2b	(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:

8.0ms	(/ (+ N 1.0) N)
4.0ms	(log (/ (+ N 1.0) N))

series130.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (+ N 1.0) N)
83.0ms	(log (/ (+ N 1.0) N))

simplify104.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (20.0ms)

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

prune117.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ N 1.0) N)
0.3b	(cbrt (pow (log (/ (+ N 1.0) N)) 3))
0.4b	(pow (log (/ (+ N 1.0) N)) 3)
3.2b	(log (/ (+ N 1.0) N))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
27×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`times-frac`
16×	`log-prod`
14×	`cbrt-prod`
10×	`pow1` `add-exp-log`
8×	`unpow-prod-down` `cube-prod`
7×	`add-cbrt-cube` `distribute-lft-out`
5×	`log-pow`
4×	`associate-/l*` `add-log-exp`
3×	`pow-unpow` `associate-/r*`
2×	`cube-mult` `unpow3` `div-exp` `rem-log-exp` `div-inv` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `log-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `pow-exp` `clear-num` `rem-cbrt-cube` `flip-+` `rem-cube-cbrt`

Counts

4 → 108

Calls

4 calls:

8.0ms	(/ (+ N 1.0) N)
2.0ms	(cbrt (pow (log (/ (+ N 1.0) N)) 3))
2.0ms	(pow (log (/ (+ N 1.0) N)) 3)
3.0ms	(log (/ (+ N 1.0) N))

series359.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (+ N 1.0) N)
85.0ms	(cbrt (pow (log (/ (+ N 1.0) N)) 3))
140.0ms	(pow (log (/ (+ N 1.0) N)) 3)
83.0ms	(log (/ (+ N 1.0) N))

simplify59.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	478	769
1	2101	733
2	5001	727

prune228.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

3.2b	(- (pow (log (+ N 1.0)) 3) (pow (log N) 3))
4.0b	(log (+ N 1.0))
4.0b	(log (+ N 1.0))
4.0b	(log (+ N 1.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`unpow-prod-down` `cube-prod`
23×	`pow1`
19×	`log-pow`
17×	`distribute-lft-out--`
16×	`difference-of-squares`
12×	`log-prod`
8×	`sqr-pow`
7×	`add-exp-log` `add-cube-cbrt`
6×	`log-div` `add-log-exp`
4×	`add-cbrt-cube`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`difference-cubes` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 91

Calls

4 calls:

21.0ms	(- (pow (log (+ N 1.0)) 3) (pow (log N) 3))
3.0ms	(log (+ N 1.0))
2.0ms	(log (+ N 1.0))
3.0ms	(log (+ N 1.0))

series326.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(- (pow (log (+ N 1.0)) 3) (pow (log N) 3))
46.0ms	(log (+ N 1.0))
41.0ms	(log (+ N 1.0))
46.0ms	(log (+ N 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	480	888
1	1809	857
2	5001	844

prune290.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes78.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 28.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	14
1	27	14

end0.0ms

sample1.9s

Algorithm

intervals

Results

574.0ms	1722×	body	1280	valid
396.0ms	8027×	body	80	nan
349.0ms	4156×	body	80	valid
279.0ms	1237×	body	640	valid
94.0ms	585×	body	320	valid
32.0ms	300×	body	160	valid