Details

sample185.0ms

Algorithm

intervals

Results

94.0ms	256×	body	80	nan
22.0ms	47×	body	1280	valid
16.0ms	53×	body	640	valid
10.0ms	122×	body	80	valid
5.0ms	24×	body	320	valid
1.0ms	10×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize57.0ms

Local error

Found 2 expressions with local error:

3.2b	(- (log (+ N 1.0)) (log N))
3.6b	(log (+ N 1.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`pow1` `add-sqr-sqrt` `prod-diff`
14×	`add-cube-cbrt` `log-pow`
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:

31.0ms	(- (log (+ N 1.0)) (log N))
10.0ms	(log (+ N 1.0))

series371.0ms

Counts

2 → 6

Calls

2 calls:

204.0ms	(- (log (+ N 1.0)) (log N))
166.0ms	(log (+ N 1.0))

simplify5.5s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
3	2053
2	691
1	287
0	127

prune404.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))
0.5b	(/ 1 (* N N))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log`
10×	`pow1`
7×	`add-cbrt-cube`
6×	`pow-flip`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
3×	`times-frac` `prod-exp` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `frac-2neg` `pow-plus` `pow-prod-down` `clear-num` `associate-/r*` `pow-sqr` `pow-prod-up` `cbrt-unprod` `fma-udef` `div-inv` `inv-pow`

Counts

2 → 44

Calls

2 calls:

1.0ms	(fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))
24.0ms	(/ 1 (* N N))

series107.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))
38.0ms	(/ 1 (* N N))

simplify3.9s

Counts

50 → 50

Iterations

Iter	Nodes
done	5003
3	1513
2	459
1	179
0	80

prune232.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
3.3b	(log (/ (+ N 1.0) N))

rewrite60.0ms

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

Counts

2 → 64

Calls

2 calls:

43.0ms	(/ (+ N 1.0) N)
13.0ms	(log (/ (+ N 1.0) N))

series235.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(/ (+ N 1.0) N)
155.0ms	(log (/ (+ N 1.0) N))

simplify3.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
3	2308
2	621
1	253
0	112

prune407.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

3.2b	(- (log (+ N 1.0)) (log N))
3.2b	(- (log (+ N 1.0)) (log N))
3.6b	(log (+ N 1.0))
3.6b	(log (+ N 1.0))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

30.0ms	(- (log (+ N 1.0)) (log N))
24.0ms	(- (log (+ N 1.0)) (log N))
20.0ms	(log (+ N 1.0))
12.0ms	(log (+ N 1.0))

series522.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(- (log (+ N 1.0)) (log N))
185.0ms	(- (log (+ N 1.0)) (log N))
68.0ms	(log (+ N 1.0))
77.0ms	(log (+ N 1.0))

simplify4.1s

Counts

142 → 142

Iterations

Iter	Nodes
done	5001
3	2053
2	691
1	287
0	127

prune820.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 32.0b

bsearch81.0ms

Steps

Iters	Range		Point
8	87.84726908649233	263824.51516633737	9556.535660077325

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.6s	1720×	body	1280	valid
558.0ms	7895×	body	80	nan
471.0ms	1230×	body	640	valid
359.0ms	4129×	body	80	valid
224.0ms	607×	body	320	valid
44.0ms	314×	body	160	valid