Details

sample99.0ms

Algorithm

intervals

Results

36.0ms	71×	body	1280	valid
13.0ms	241×	body	80	nan
11.0ms	123×	body	80	valid
11.0ms	32×	body	640	valid
5.0ms	24×	body	320	valid
1.0ms	6×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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:

7.0ms	(log (+ N 1.0))
13.0ms	(- (log (+ N 1.0)) (log N))

series247.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(log (+ N 1.0))
174.0ms	(- (log (+ N 1.0)) (log N))

simplify3.1s

Counts

47 → 47

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	101	510
1	213	488
2	464	445
3	1067	443
4	2569	438
done	5000	426

prune166.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (- 1.0 (/ 0.5 N)) N)
0.3b	(/ 0.3333333333333333 (pow N 3))
13.0b	(+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

62×	`times-frac`
59×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
39×	`add-cube-cbrt`
15×	`associate-/r*`
12×	`unpow-prod-down` `cube-prod`
10×	`add-exp-log`
9×	`associate-/l*`
8×	`difference-of-squares`
7×	`add-cbrt-cube`
5×	`distribute-lft-out--` `add-log-exp`
4×	`cube-mult` `unpow3` `div-exp` `sqr-pow`
3×	`pow1` `distribute-lft-out`
2×	`cbrt-undiv` `frac-2neg` `div-sub` `clear-num` `div-inv` `associate-/l/`
1×	`+-commutative` `pow-to-exp` `associate-+r-` `flip3--` `flip3-+` `frac-add` `pow-exp` `sum-log` `flip--` `flip-+`

Counts

3 → 123

Calls

3 calls:

32.0ms	(/ (- 1.0 (/ 0.5 N)) N)
8.0ms	(/ 0.3333333333333333 (pow N 3))
172.0ms	(+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))

series224.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(/ (- 1.0 (/ 0.5 N)) N)
62.0ms	(/ 0.3333333333333333 (pow N 3))
50.0ms	(+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))

simplify1.1s

Counts

132 → 132

Iterations

Useful iterations: 2 (346.0ms)

Iter	Nodes	Cost
0	203	1721
1	438	1521
2	1194	1426
done	5000	1426

prune369.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (pow (log (+ N 1.0)) 3))
0.4b	(pow (log (+ N 1.0)) 3)
1.6b	(log (+ N 1.0))
1.6b	(- (cbrt (pow (log (+ N 1.0)) 3)) (log N))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`cbrt-prod`
17×	`*-un-lft-identity`
12×	`add-cube-cbrt`
11×	`pow1`
9×	`unpow-prod-down` `cube-prod`
7×	`log-prod`
6×	`add-exp-log` `log-pow`
5×	`add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`pow-unpow` `associate--r+` `sqr-pow`
2×	`cube-mult` `log-div` `unpow3` `distribute-lft-out--`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `flip3-+` `pow1/3` `diff-log` `rem-log-exp` `pow-exp` `flip--` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 85

Calls

4 calls:

5.0ms	(cbrt (pow (log (+ N 1.0)) 3))
3.0ms	(pow (log (+ N 1.0)) 3)
9.0ms	(log (+ N 1.0))
48.0ms	(- (cbrt (pow (log (+ N 1.0)) 3)) (log N))

series429.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(cbrt (pow (log (+ N 1.0)) 3))
130.0ms	(pow (log (+ N 1.0)) 3)
58.0ms	(log (+ N 1.0))
183.0ms	(- (cbrt (pow (log (+ N 1.0)) 3)) (log N))

simplify1.1s

Counts

97 → 97

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	203	1422
1	488	1149
2	1358	1046
done	5001	1030

prune283.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

100% (0.0b remaining)

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

bsearch48.0ms

Steps

Iters	Range		Point
9	0.0033303272193615503	311302.39110615524	4122.928478339784

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	27
1	22	27
done	22	27

end0.0ms

sample3.2s

Algorithm

intervals

Results

910.0ms	8200×	body	80	nan
843.0ms	1731×	body	1280	valid
427.0ms	1180×	body	640	valid
314.0ms	4111×	body	80	valid
172.0ms	679×	body	320	valid
42.0ms	299×	body	160	valid