Details

sample94.0ms

Algorithm

intervals

Results

35.0ms	71×	body	1280	valid
12.0ms	241×	body	80	nan
10.0ms	123×	body	80	valid
10.0ms	32×	body	640	valid
5.0ms	24×	body	320	valid
1.0ms	6×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	10	7
done	10	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize15.0ms

Local error

Found 2 expressions with local error:

1.6b	(log (+ N 1.0))
1.6b	(- (log (+ N 1.0)) (log N))

rewrite22.0ms

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:

5.0ms	(log (+ N 1.0))
15.0ms	(- (log (+ N 1.0)) (log N))

series185.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(log (+ N 1.0))
139.0ms	(- (log (+ N 1.0)) (log N))

simplify3.6s

Counts

71 → 71

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	127	1052
1	277	855
2	666	705
3	2050	614
done	5000	592

prune164.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))
0.2b	(/ 1 (pow N 2))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
11×	`add-exp-log`
8×	`associate-/r*`
6×	`div-exp`
4×	`add-cbrt-cube` `unpow2` `sqr-pow`
3×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `pow-flip` `frac-2neg` `clear-num` `fma-udef` `div-inv` `inv-pow`

Counts

2 → 69

Calls

2 calls:

1.0ms	(fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))
17.0ms	(/ 1 (pow N 2))

series85.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))
32.0ms	(/ 1 (pow N 2))

simplify1.3s

Counts

75 → 75

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	114	835
1	207	694
2	382	564
3	1150	560
done	5000	556

prune165.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
1.6b	(log (/ (+ N 1.0) N))

rewrite50.0ms

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:

36.0ms	(/ (+ N 1.0) N)
10.0ms	(log (/ (+ N 1.0) N))

series228.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(/ (+ N 1.0) N)
128.0ms	(log (/ (+ N 1.0) N))

simplify4.1s

Counts

70 → 70

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	112	749
1	242	708
2	620	660
3	1531	647
4	4287	643
done	5000	612

prune223.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 31.8b

bsearch55.0ms

Steps

Iters	Range		Point
9	0.0033303272193615503	311302.39110615524	10223.09734470724

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	24
1	21	24
done	21	24

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	1731×	body	1280	valid
451.0ms	8200×	body	80	nan
396.0ms	4111×	body	80	valid
350.0ms	1180×	body	640	valid
125.0ms	679×	body	320	valid
35.0ms	299×	body	160	valid