Details

sample104.0ms

Algorithm

intervals

Results

30.0ms	56×	body	1280	valid
16.0ms	46×	body	640	valid
12.0ms	211×	body	80	nan
11.0ms	132×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	7×	body	160	valid

simplify24.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize34.0ms

Local error

Found 2 expressions with local error:

2.0b	(- (log (+ N 1.0)) (log N))
3.4b	(log (+ N 1.0))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
7×	`add-sqr-sqrt` `pow1`
5×	`log-pow` `add-cube-cbrt`
4×	`log-div` `associate--l+` `distribute-lft-out--`
3×	`add-exp-log` `associate--r+`
2×	`associate--l-` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 43

Calls

2 calls:

51.0ms	(- (log (+ N 1.0)) (log N))
14.0ms	(log (+ N 1.0))

series219.0ms

Counts

2 → 6

Calls

2 calls:

150.0ms	(- (log (+ N 1.0)) (log N))
69.0ms	(log (+ N 1.0))

simplify7.2s

Counts

49 → 49

Iterations

Iter	Nodes
done	5003
4	4937
3	1586
2	530
1	215
0	103

prune444.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 N) N)
2.1b	(log (/ (+ 1.0 N) N))

rewrite36.0ms

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` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 62

Calls

2 calls:

23.0ms	(/ (+ 1.0 N) N)
9.0ms	(log (/ (+ 1.0 N) N))

series213.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(/ (+ 1.0 N) N)
126.0ms	(log (/ (+ 1.0 N) N))

simplify3.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	2249
2	620
1	242
0	109

prune587.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

2.1b	(log (+ (/ 1.0 N) 1))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

25.0ms

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

series126.0ms

Counts

1 → 3

Calls

1 calls:

126.0ms

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

simplify5.7s

Counts

19 → 19

Iterations

Iter	Nodes
done	5073
4	3420
3	1038
2	355
1	129
0	59

prune155.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 0.3333333333333333 (* N N)) N)
0.4b	(/ 0.3333333333333333 (* N N))
0.5b	(/ 0.5 (* N N))
11.6b	(- (+ (/ (/ 0.3333333333333333 (* N N)) N) (/ 1.0 N)) (/ 0.5 (* N N)))

rewrite674.0ms

Algorithm

rewrite-expression-head

Rules

41×	`times-frac`
30×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
23×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
9×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
5×	`associate-/r*`
4×	`pow1` `insert-posit16`
3×	`clear-num` `frac-2neg` `prod-exp` `frac-sub` `cbrt-unprod` `distribute-lft-out--`
2×	`diff-log` `frac-add` `difference-of-squares`
1×	`sum-log` `sub-neg` `flip3-+` `distribute-rgt-out` `flip3--` `associate--l+` `flip-+` `flip--` `distribute-lft-out` `sub-div` `associate-/l/`

Counts

4 → 117

Calls

4 calls:

39.0ms	(/ (/ 0.3333333333333333 (* N N)) N)
20.0ms	(/ 0.3333333333333333 (* N N))
13.0ms	(/ 0.5 (* N N))
587.0ms	(- (+ (/ (/ 0.3333333333333333 (* N N)) N) (/ 1.0 N)) (/ 0.5 (* N N)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (/ 0.3333333333333333 (* N N)) N)
57.0ms	(/ 0.3333333333333333 (* N N))
57.0ms	(/ 0.5 (* N N))
49.0ms	(- (+ (/ (/ 0.3333333333333333 (* N N)) N) (/ 1.0 N)) (/ 0.5 (* N N)))

simplify3.3s

Counts

129 → 129

Iterations

Iter	Nodes
done	5009
2	1829
1	539
0	213

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes113.0ms

Accuracy

100% (0.0b remaining)

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

bsearch55.0ms

Steps

Iters	Range		Point
9	0.17679972651571432	94859.26993337883	7771.4619801305835

simplify6.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample3.0s

Algorithm

intervals

Results

819.0ms	7974×	body	80	nan
778.0ms	1742×	body	1280	valid
447.0ms	4057×	body	80	valid
341.0ms	1273×	body	640	valid
104.0ms	606×	body	320	valid
35.0ms	322×	body	160	valid