Details

sample77.0ms

Algorithm

intervals

Results

22.0ms	51×	body	1280	valid
16.0ms	303×	body	80	nan
11.0ms	37×	body	640	valid
11.0ms	135×	body	80	valid
4.0ms	18×	body	320	valid
2.0ms	15×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	11
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize10.0ms

Local error

Found 1 expressions with local error:

4.6b	(- (log1p N) (log N))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `prod-diff`
10×	`add-cube-cbrt`
5×	`pow1`
4×	`log-pow`
3×	`log-prod` `fma-neg` `associate--r+`
2×	`diff-log` `distribute-lft-out--` `add-log-exp`
1×	`expm1-log1p-u` `log1p-udef` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `difference-of-squares`

Counts

1 → 37

Calls

1 calls:

33.0ms

(- (log1p N) (log N))

series93.0ms

Counts

1 → 3

Calls

1 calls:

93.0ms

(- (log1p N) (log N))

simplify3.1s

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
4	4052
3	1137
2	403
1	185
0	83

prune118.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1 N) N)
4.8b	(log (/ (+ 1 N) N))

rewrite24.0ms

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` `insert-posit16` `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 → 66

Calls

2 calls:

15.0ms	(/ (+ 1 N) N)
8.0ms	(log (/ (+ 1 N) N))

series126.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (+ 1 N) N)
70.0ms	(log (/ (+ 1 N) N))

simplify2.0s

Counts

72 → 72

Iterations

Iter	Nodes
done	5052
3	2586
2	583
1	244
0	106

prune234.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (/ (+ 1 N) N))
0.1b	(sqrt (/ (+ 1 N) N))
4.8b	(log (sqrt (/ (+ 1 N) N)))
4.8b	(log (sqrt (/ (+ 1 N) N)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

64×	`sqrt-prod`
62×	`*-un-lft-identity`
50×	`times-frac`
44×	`add-sqr-sqrt`
38×	`log-prod` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`pow1`
6×	`add-exp-log` `log-pow`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `sqrt-div` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`log-div` `rem-log-exp`

Counts

4 → 130

Calls

4 calls:

11.0ms	(sqrt (/ (+ 1 N) N))
12.0ms	(sqrt (/ (+ 1 N) N))
8.0ms	(log (sqrt (/ (+ 1 N) N)))
6.0ms	(log (sqrt (/ (+ 1 N) N)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sqrt (/ (+ 1 N) N))
53.0ms	(sqrt (/ (+ 1 N) N))
102.0ms	(log (sqrt (/ (+ 1 N) N)))
106.0ms	(log (sqrt (/ (+ 1 N) N)))

simplify2.9s

Counts

142 → 142

Iterations

Iter	Nodes
done	5003
4	3510
3	1176
2	457
1	211
0	128

prune789.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1 N) N)
0.1b	(sqrt (/ (+ 1 N) N))
4.8b	(log (/ (+ 1 N) N))
4.8b	(log (sqrt (/ (+ 1 N) N)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
49×	`times-frac`
41×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
35×	`log-prod`
32×	`sqrt-prod`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`pow1`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log-pow` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
3×	`associate-/r*` `rem-log-exp`
2×	`rem-sqrt-square` `log-div` `sqrt-pow1` `pow1/2` `sqrt-div` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip-+`

Counts

4 → 131

Calls

4 calls:

28.0ms	(/ (+ 1 N) N)
9.0ms	(sqrt (/ (+ 1 N) N))
4.0ms	(log (/ (+ 1 N) N))
4.0ms	(log (sqrt (/ (+ 1 N) N)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (+ 1 N) N)
61.0ms	(sqrt (/ (+ 1 N) N))
76.0ms	(log (/ (+ 1 N) N))
125.0ms	(log (sqrt (/ (+ 1 N) N)))

simplify2.2s

Counts

143 → 143

Iterations

Iter	Nodes
done	5041
3	3240
2	897
1	381
0	194

prune675.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes57.0ms

Accuracy

100% (0.0b remaining)

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

bsearch41.0ms

Steps

Iters	Range		Point
8	9038.04311539703	45027090.2690009	9233.861277203294

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.1s	1684×	body	1280	valid
927.0ms	8149×	body	80	nan
605.0ms	1266×	body	640	valid
396.0ms	4127×	body	80	valid
196.0ms	626×	body	320	valid
72.0ms	297×	body	160	valid