Details

sample79.0ms

Algorithm

intervals

Results

24.0ms	56×	body	1280	valid
16.0ms	278×	body	80	nan
13.0ms	38×	body	640	valid
11.0ms	134×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	11
2	11
1	9
0	6

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize39.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:

14.0ms

(- (log1p N) (log N))

series108.0ms

Counts

1 → 3

Calls

1 calls:

108.0ms

(- (log1p N) (log N))

simplify1.8s

Counts

40 → 40

Iterations

Iter	Nodes
4	2678
3	962
2	372
1	184
0	83

prune296.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log1p N) (log1p N))
0.3b	(/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))
0.5b	(* (log N) (log N))
2.8b	(- (* (log1p N) (log1p N)) (* (log N) (log N)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
29×	`pow1`
27×	`add-cube-cbrt`
20×	`times-frac`
12×	`log-prod`
11×	`log-pow`
10×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
9×	`swap-sqr`
7×	`associate-r` `associate-l` `difference-of-squares`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--r+` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`pow2` `pow-plus` `flip3--` `pow-prod-down` `prod-exp` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip--` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `flip-+` `div-inv`

Counts

4 → 140

Calls

4 calls:

12.0ms	(* (log1p N) (log1p N))
44.0ms	(/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))
22.0ms	(* (log N) (log N))
18.0ms	(- (* (log1p N) (log1p N)) (* (log N) (log N)))

series688.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (log1p N) (log1p N))
243.0ms	(/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))
263.0ms	(* (log N) (log N))
134.0ms	(- (* (log1p N) (log1p N)) (* (log N) (log N)))

simplify2.4s

Counts

152 → 152

Iterations

Iter	Nodes
2	2911
1	822
0	286

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:

29.0ms	(/ (+ 1 N) N)
8.0ms	(log (/ (+ 1 N) N))

series145.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(/ (+ 1 N) N)
52.0ms	(log (/ (+ 1 N) N))

simplify4.4s

Counts

72 → 72

Iterations

Iter	Nodes
4	5667
3	1564
2	510
1	231
0	106

prune463.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1 N) N)
0.0b	(log (log (/ (+ 1 N) N)))
0.8b	(exp (log (log (/ (+ 1 N) N))))
3.0b	(log (/ (+ 1 N) N))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `log-prod` `times-frac` `add-cube-cbrt`
10×	`add-exp-log`
9×	`pow1`
7×	`distribute-lft-out`
6×	`add-cbrt-cube`
5×	`log-pow`
4×	`expm1-log1p-u` `exp-prod` `exp-sum` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`associate-/r*` `rem-log-exp`
2×	`div-exp` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `flip-+` `rem-exp-log`

Counts

4 → 101

Calls

4 calls:

17.0ms	(/ (+ 1 N) N)
4.0ms	(log (log (/ (+ 1 N) N)))
3.0ms	(exp (log (log (/ (+ 1 N) N))))
4.0ms	(log (/ (+ 1 N) N))

series275.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ (+ 1 N) N)
86.0ms	(log (log (/ (+ 1 N) N)))
58.0ms	(exp (log (log (/ (+ 1 N) N))))
63.0ms	(log (/ (+ 1 N) N))

simplify1.2s

Counts

113 → 113

Iterations

Iter	Nodes
3	2034
2	727
1	330
0	159

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes88.0ms

Accuracy

99.8% (0.1b remaining)

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

bsearch32.0ms

Steps

Iters	Range		Point
7	186.95626557948964	5877.37978213442	4683.545058486523

simplify3.0ms

Iterations

Iter	Nodes
2	21
1	21
0	20

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.1s	1733×	body	1280	valid
896.0ms	4077×	body	80	valid
593.0ms	8086×	body	80	nan
535.0ms	1258×	body	640	valid
201.0ms	641×	body	320	valid
46.0ms	291×	body	160	valid