Details

sample79.0ms

Algorithm

intervals

Results

21.0ms	54×	body	1280	valid
16.0ms	253×	body	80	nan
10.0ms	142×	body	80	valid
10.0ms	35×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	11×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.8b

localize21.0ms

Local error

Found 2 expressions with local error:

2.7b	(- (log (+ 1.0 N)) (log N))
3.5b	(log (+ 1.0 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:

22.0ms	(- (log (+ 1.0 N)) (log N))
8.0ms	(log (+ 1.0 N))

series221.0ms

Counts

2 → 6

Calls

2 calls:

139.0ms	(- (log (+ 1.0 N)) (log N))
82.0ms	(log (+ 1.0 N))

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1091
1	287
0	126

prune309.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

28.0ms	(/ (+ N 1.0) N)
10.0ms	(log (/ (+ N 1.0) N))

series207.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (+ N 1.0) N)
143.0ms	(log (/ (+ N 1.0) N))

simplify624.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	1063
1	252
0	112

prune320.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt N)
0.5b	(cbrt N)
2.6b	(log (/ (cbrt (+ 1.0 N)) (cbrt N)))
2.6b	(log (/ (cbrt (+ 1.0 N)) (cbrt N)))

rewrite42.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `rem-log-exp` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `pow1/3` `div-exp` `log-pow` `div-inv`

Counts

4 → 144

Calls

4 calls:

1.0ms	(cbrt N)
1.0ms	(cbrt N)
14.0ms	(log (/ (cbrt (+ 1.0 N)) (cbrt N)))
13.0ms	(log (/ (cbrt (+ 1.0 N)) (cbrt N)))

series1.2s

Counts

4 → 12

Calls

4 calls:

329.0ms	(cbrt N)
232.0ms	(cbrt N)
320.0ms	(log (/ (cbrt (+ 1.0 N)) (cbrt N)))
309.0ms	(log (/ (cbrt (+ 1.0 N)) (cbrt N)))

simplify1.7s

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
3	4376
2	1024
1	353
0	183

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize109.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt N)
2.6b	(log (/ (cbrt (+ 1.0 N)) (cbrt N)))
2.7b	(log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))
2.7b	(log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

230×	`cbrt-prod`
144×	`log-prod`
126×	`times-frac`
124×	`*-un-lft-identity`
88×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
9×	`add-exp-log`
7×	`pow1`
5×	`log-pow`
4×	`expm1-log1p-u` `add-cbrt-cube` `rem-log-exp` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `pow1/3` `div-inv`
2×	`cbrt-div`
1×	`div-exp`

Counts

4 → 196

Calls

4 calls:

1.0ms	(cbrt N)
16.0ms	(log (/ (cbrt (+ 1.0 N)) (cbrt N)))
27.0ms	(log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))
18.0ms	(log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))

series1.5s

Counts

4 → 12

Calls

4 calls:

309.0ms	(cbrt N)
412.0ms	(log (/ (cbrt (+ 1.0 N)) (cbrt N)))
411.0ms	(log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))
401.0ms	(log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))

simplify886.0ms

Counts

208 → 208

Iterations

Iter	Nodes
done	5000
2	1642
1	616
0	373

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.5b

bsearch57.0ms

Steps

Iters	Range		Point
7	5787.9300826946865	261980.93535209994	15002.089224442483

simplify5.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.3s	1783×	body	1280	valid
425.0ms	7946×	body	80	nan
391.0ms	1303×	body	640	valid
283.0ms	4055×	body	80	valid
174.0ms	557×	body	320	valid
33.0ms	302×	body	160	valid