Details

sample52.0ms

Algorithm

intervals

Results

14.0ms	54×	body	1280	valid
8.0ms	270×	body	80	nan
6.0ms	135×	body	80	valid
6.0ms	33×	body	640	valid
2.0ms	21×	body	320	valid
1.0ms	13×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize19.0ms

Local error

Found 2 expressions with local error:

3.3b	(log (+ N 1.0))
4.1b	(- (log (+ N 1.0)) (log N))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `pow1` `prod-diff`
14×	`log-pow` `add-cube-cbrt`
11×	`log-prod`
4×	`log-div` `fma-neg` `associate--l+` `distribute-lft-out--`
3×	`add-exp-log` `associate--r+`
2×	`associate--l-` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 65

Calls

2 calls:

4.0ms	(log (+ N 1.0))
28.0ms	(- (log (+ N 1.0)) (log N))

series195.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(log (+ N 1.0))
131.0ms	(- (log (+ N 1.0)) (log N))

simplify2.4s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
3	2040
2	708
1	286
0	127

prune261.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
3.9b	(log (/ (+ N 1.0) N))

rewrite23.0ms

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×	`expm1-log1p-u` `div-exp` `rem-log-exp` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 64

Calls

2 calls:

15.0ms	(/ (+ N 1.0) N)
6.0ms	(log (/ (+ N 1.0) N))

series161.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (+ N 1.0) N)
108.0ms	(log (/ (+ N 1.0) N))

simplify2.0s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
3	2337
2	629
1	252
0	112

prune297.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

3.3b	(log (+ N 1.0))
3.3b	(log (+ N 1.0))
3.3b	(log (+ N 1.0))
4.1b	(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

26×	`log-prod`
21×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate--l+`
7×	`distribute-rgt-in` `pow1` `distribute-lft-in` `add-exp-log`
6×	`log-div` `associate--r+` `add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `difference-of-squares`

Counts

4 → 82

Calls

4 calls:

7.0ms	(log (+ N 1.0))
7.0ms	(log (+ N 1.0))
7.0ms	(log (+ N 1.0))
25.0ms	(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(log (+ N 1.0))
58.0ms	(log (+ N 1.0))
75.0ms	(log (+ N 1.0))
204.0ms	(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))

simplify3.0s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
3	4308
2	1246
1	419
0	162

prune572.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

3.3b	(log (+ N 1.0))
3.3b	(log (+ N 1.0))
3.3b	(log (+ N 1.0))
4.1b	(- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

40×	`log-prod`
29×	`*-un-lft-identity`
28×	`distribute-rgt-in` `distribute-lft-in`
16×	`associate--l+`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`associate--r+`
7×	`pow1` `add-exp-log` `distribute-lft-out`
6×	`log-div` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

4.0ms	(log (+ N 1.0))
4.0ms	(log (+ N 1.0))
4.0ms	(log (+ N 1.0))
65.0ms	(- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N))))

series495.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(log (+ N 1.0))
58.0ms	(log (+ N 1.0))
46.0ms	(log (+ N 1.0))
311.0ms	(- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N))))

simplify3.0s

Counts

108 → 108

Iterations

Iter	Nodes
done	5004
2	2715
1	760
0	255

prune806.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes56.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.7b

bsearch59.0ms

Steps

Iters	Range		Point
9	28.34319947931986	8356907.11246281	9148.879937239351

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample2.9s

Algorithm

intervals

Results

857.0ms	1756×	body	1280	valid
787.0ms	4031×	body	80	valid
424.0ms	7925×	body	80	nan
336.0ms	1246×	body	640	valid
118.0ms	657×	body	320	valid
33.0ms	310×	body	160	valid