Details

sample51.0ms

Algorithm

intervals

Results

15.0ms	53×	body	1280	valid
7.0ms	39×	body	640	valid
6.0ms	130×	body	80	valid
6.0ms	200×	body	80	nan
3.0ms	23×	body	320	valid
1.0ms	11×	body	160	valid

simplify3.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize9.0ms

Local error

Found 2 expressions with local error:

2.0b	(log (+ N 1.0))
2.7b	(- (log (+ N 1.0)) (log N))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
7×	`pow1` `add-sqr-sqrt`
5×	`add-cube-cbrt` `log-pow`
4×	`log-div` `associate--l+` `distribute-lft-out--`
3×	`add-exp-log` `associate--r+`
2×	`associate--l-` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

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

series175.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(log (+ N 1.0))
118.0ms	(- (log (+ N 1.0)) (log N))

simplify51.0ms

Counts: 47 → 47

prune116.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
2.4b	(log (/ (+ N 1.0) N))

rewrite30.0ms

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

Counts

2 → 60

Calls

2 calls:

20.0ms	(/ (+ N 1.0) N)
8.0ms	(log (/ (+ N 1.0) N))

series166.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ (+ N 1.0) N)
101.0ms	(log (/ (+ N 1.0) N))

simplify105.0ms

Counts: 66 → 66

prune128.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

2.4b	(log (+ (* 1.0 (/ 1 N)) 1))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

3×	`log-prod`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div` `*-un-lft-identity`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

1 → 14

Calls

1 calls:

11.0ms

(log (+ (* 1.0 (/ 1 N)) 1))

series83.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

(log (+ (* 1.0 (/ 1 N)) 1))

simplify76.0ms

Counts: 17 → 17

prune331.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ N 1.0))
0.2b	(/ (sqrt (+ N 1.0)) N)
2.1b	(log (sqrt (+ N 1.0)))
2.6b	(+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
42×	`times-frac`
40×	`add-sqr-sqrt` `sqrt-prod`
39×	`add-cube-cbrt` `log-prod`
25×	`associate-+r+`
14×	`distribute-lft-out`
11×	`pow1`
8×	`sqrt-div`
7×	`add-exp-log` `associate-+l+` `log-pow` `associate-/l*`
6×	`add-cbrt-cube`
5×	`log-div` `flip3-+` `flip-+`
4×	`add-log-exp`
3×	`associate-/r*`
2×	`associate-+l-` `sqrt-pow1` `pow1/2` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `rem-sqrt-square` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log`

Counts

4 → 131

Calls

4 calls:

15.0ms	(sqrt (+ N 1.0))
30.0ms	(/ (sqrt (+ N 1.0)) N)
6.0ms	(log (sqrt (+ N 1.0)))
24.0ms	(+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))

series480.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (+ N 1.0))
78.0ms	(/ (sqrt (+ N 1.0)) N)
96.0ms	(log (sqrt (+ N 1.0)))
268.0ms	(+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))

simplify47.0ms

Counts: 143 → 143

prune349.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

100% (0.0b remaining)

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

bsearch32.0ms

Steps

Iters	Range		Point
8	20.983827299779215	34431.44860491131	8086.425104129199

simplify1.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

605.0ms	1783×	body	1280	valid
338.0ms	7813×	body	80	nan
268.0ms	4060×	body	80	valid
263.0ms	1249×	body	640	valid
77.0ms	635×	body	320	valid
21.0ms	273×	body	160	valid