Details

sample82.0ms

Algorithm

intervals

Results

27.0ms	56×	body	1280	valid
15.0ms	278×	body	80	nan
11.0ms	38×	body	640	valid
11.0ms	134×	body	80	valid
5.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	11
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

6.0ms

(- (log1p N) (log N))

series94.0ms

Counts

1 → 3

Calls

1 calls:

94.0ms

(- (log1p N) (log N))

simplify1.1s

Counts

40 → 40

Iterations

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

prune287.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

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)))

rewrite75.0ms

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)))
8.0ms	(* (log N) (log N))
9.0ms	(- (* (log1p N) (log1p N)) (* (log N) (log N)))

series677.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (log1p N) (log1p N))
254.0ms	(/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))
253.0ms	(* (log N) (log N))
114.0ms	(- (* (log1p N) (log1p N)) (* (log N) (log N)))

simplify1.2s

Counts

152 → 152

Iterations

Iter	Nodes
done	2002
2	2002
1	858
0	286

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:

13.0ms	(/ (+ 1 N) N)
4.0ms	(log (/ (+ 1 N) N))

series123.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(/ (+ 1 N) N)
47.0ms	(log (/ (+ 1 N) N))

simplify884.0ms

Counts

72 → 72

Iterations

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

prune567.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize17.0ms

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))

rewrite42.0ms

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:

27.0ms	(/ (+ 1 N) N)
6.0ms	(log (log (/ (+ 1 N) N)))
3.0ms	(exp (log (log (/ (+ 1 N) N))))
4.0ms	(log (/ (+ 1 N) N))

series349.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ (+ 1 N) N)
108.0ms	(log (log (/ (+ 1 N) N)))
74.0ms	(exp (log (log (/ (+ 1 N) N))))
79.0ms	(log (/ (+ 1 N) N))

simplify937.0ms

Counts

113 → 113

Iterations

Iter	Nodes
done	2005
3	2005
2	806
1	343
0	159

prune838.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes42.0ms

Accuracy

99.8% (0.1b remaining)

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

bsearch35.0ms

Steps

Iters	Range		Point
7	186.95626557948964	5877.37978213442	4683.545058486523

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	19

end0.0ms

sample3.0s

Algorithm

intervals

Results

986.0ms	1733×	body	1280	valid
694.0ms	8086×	body	80	nan
505.0ms	1258×	body	640	valid
403.0ms	4077×	body	80	valid
152.0ms	641×	body	320	valid
43.0ms	291×	body	160	valid