Details

sample89.0ms

Algorithm

intervals

Results

27.0ms	58×	body	1280	valid
15.0ms	277×	body	80	nan
11.0ms	39×	body	640	valid
11.0ms	134×	body	80	valid
10.0ms	18×	body	320	valid
1.0ms	7×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	11
0	6

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize18.0ms

Local error

Found 1 expressions with local error:

2.8b	(- (log1p N) (log N))

rewrite14.0ms

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:

13.0ms

(- (log1p N) (log N))

series117.0ms

Counts

1 → 3

Calls

1 calls:

117.0ms

(- (log1p N) (log N))

simplify1.1s

Counts

40 → 40

Iterations

Iter	Nodes
done	2047
4	2047
3	1137
2	403
1	185
0	83

prune105.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1 N) N)
3.0b	(log (/ (+ 1 N) N))

rewrite42.0ms

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:

32.0ms	(/ (+ 1 N) N)
8.0ms	(log (/ (+ 1 N) N))

series126.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (+ 1 N) N)
73.0ms	(log (/ (+ 1 N) N))

simplify1.1s

Counts

72 → 72

Iterations

Iter	Nodes
done	2001
3	2001
2	583
1	244
0	106

prune233.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (+ 1 N) N))
3.0b	(log (cbrt (/ (+ 1 N) N)))
3.0b	(log (cbrt (/ (+ 1 N) N)))
3.0b	(log (cbrt (/ (+ 1 N) N)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
63×	`*-un-lft-identity`
57×	`log-prod`
48×	`times-frac`
39×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
7×	`pow1` `add-exp-log`
6×	`log-pow`
4×	`expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `pow1/3` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`log-div` `rem-log-exp`

Counts

4 → 127

Calls

4 calls:

5.0ms	(cbrt (/ (+ 1 N) N))
5.0ms	(log (cbrt (/ (+ 1 N) N)))
3.0ms	(log (cbrt (/ (+ 1 N) N)))
4.0ms	(log (cbrt (/ (+ 1 N) N)))

series577.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(cbrt (/ (+ 1 N) N))
164.0ms	(log (cbrt (/ (+ 1 N) N)))
144.0ms	(log (cbrt (/ (+ 1 N) N)))
190.0ms	(log (cbrt (/ (+ 1 N) N)))

simplify1.4s

Counts

139 → 139

Iterations

Iter	Nodes
done	2011
4	2011
3	1977
2	660
1	260
0	143

prune722.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (+ 1 N) N))
3.0b	(log (/ (+ 1 N) N))
3.0b	(log (cbrt (/ (+ 1 N) N)))
3.0b	(log (cbrt (/ (+ 1 N) N)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
54×	`log-prod`
48×	`cbrt-prod` `times-frac`
38×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
9×	`add-exp-log`
7×	`pow1`
5×	`log-pow`
4×	`expm1-log1p-u` `add-cbrt-cube` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`log-div` `cbrt-div` `pow1/3`
1×	`div-exp`

Counts

4 → 124

Calls

4 calls:

5.0ms	(cbrt (/ (+ 1 N) N))
6.0ms	(log (/ (+ 1 N) N))
12.0ms	(log (cbrt (/ (+ 1 N) N)))
6.0ms	(log (cbrt (/ (+ 1 N) N)))

series486.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (/ (+ 1 N) N))
56.0ms	(log (/ (+ 1 N) N))
198.0ms	(log (cbrt (/ (+ 1 N) N)))
142.0ms	(log (cbrt (/ (+ 1 N) N)))

simplify1.0s

Counts

136 → 136

Iterations

Iter	Nodes
done	2000
3	2000
2	832
1	342
0	182

prune747.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes25.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.2b

bsearch48.0ms

Steps

Iters	Range		Point
6	3231.8276777318033	48819.349325626084	8810.738870329447

simplify5.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample3.5s

Algorithm

intervals

Results

992.0ms	1701×	body	1280	valid
834.0ms	4106×	body	80	valid
615.0ms	1268×	body	640	valid
560.0ms	8141×	body	80	nan
236.0ms	627×	body	320	valid
50.0ms	298×	body	160	valid