Details

sample43.0ms

Algorithm

intervals

Results

14.0ms	63×	body	1280	valid
5.0ms	264×	body	80	nan
5.0ms	39×	body	640	valid
5.0ms	130×	body	80	valid
1.0ms	15×	body	320	valid
0.0ms	9×	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: 29.6b

localize6.0ms

Local error

Found 2 expressions with local error:

2.4b	(- (log (+ N 1.0)) (log N))
3.2b	(log (+ N 1.0))

rewrite18.0ms

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:

12.0ms	(- (log (+ N 1.0)) (log N))
5.0ms	(log (+ N 1.0))

series141.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(- (log (+ N 1.0)) (log N))
47.0ms	(log (+ N 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (47.0ms)

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

prune97.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
2.5b	(log (/ (+ N 1.0) N))

rewrite26.0ms

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:

18.0ms	(/ (+ N 1.0) N)
6.0ms	(log (/ (+ N 1.0) N))

series135.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (+ N 1.0) N)
85.0ms	(log (/ (+ N 1.0) N))

simplify96.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (18.0ms)

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

prune106.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt N)
0.6b	(cbrt N)
2.5b	(log (/ (cbrt (+ N 1.0)) (cbrt N)))
2.5b	(log (/ (cbrt (+ N 1.0)) (cbrt N)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
92×	`log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`rem-log-exp` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `pow1/3` `div-exp` `log-pow` `div-inv`

Counts

4 → 136

Calls

4 calls:

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

series792.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt N)
181.0ms	(cbrt N)
214.0ms	(log (/ (cbrt (+ N 1.0)) (cbrt N)))
221.0ms	(log (/ (cbrt (+ N 1.0)) (cbrt N)))

simplify37.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	339	1480
1	997	1434
2	5001	1388

prune452.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt N)
2.4b	(log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))
2.4b	(log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))
2.5b	(log (/ (cbrt (+ N 1.0)) (cbrt N)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

144×	`log-prod`
138×	`cbrt-prod`
126×	`times-frac`
124×	`*-un-lft-identity`
92×	`sqrt-prod`
88×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
9×	`pow1` `add-exp-log`
7×	`log-pow`
4×	`rem-log-exp` `add-cbrt-cube` `add-log-exp`
3×	`log-div` `div-inv`
2×	`sqrt-pow1` `pow1/2` `sqrt-div`
1×	`pow1/3` `div-exp`

Counts

4 → 190

Calls

4 calls:

1.0ms	(cbrt N)
10.0ms	(log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))
10.0ms	(log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))
8.0ms	(log (/ (cbrt (+ N 1.0)) (cbrt N)))

series861.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt N)
230.0ms	(log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))
234.0ms	(log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))
215.0ms	(log (/ (cbrt (+ N 1.0)) (cbrt N)))

simplify50.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	516	2470
1	1312	2407
2	5002	2358

prune775.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes24.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.3b

bsearch20.0ms

Steps

Iters	Range		Point
6	6031.575547282502	27711.216442224475	7664.61661724573

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	10
1	24	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

416.0ms	1805×	body	1280	valid
174.0ms	1201×	body	640	valid
169.0ms	7948×	body	80	nan
161.0ms	4077×	body	80	valid
54.0ms	598×	body	320	valid
21.0ms	319×	body	160	valid