Details

sample88.0ms

Algorithm

intervals

Results

40.0ms	71×	body	1280	valid
10.0ms	241×	body	80	nan
9.0ms	32×	body	640	valid
9.0ms	123×	body	80	valid
5.0ms	24×	body	320	valid
1.0ms	6×	body	160	valid

simplify4.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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))
20.0ms	(- (log (+ N 1.0)) (log N))

series210.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(log (+ N 1.0))
126.0ms	(- (log (+ N 1.0)) (log N))

simplify3.0s

Counts

47 → 47

Iterations

Useful iterations: done (3.0s)

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

prune126.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

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))

rewrite197.0ms

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:

31.0ms	(/ (- 1.0 (/ 0.5 N)) N)
11.0ms	(/ 0.3333333333333333 (pow N 3))
149.0ms	(+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))

series174.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(/ (- 1.0 (/ 0.5 N)) N)
39.0ms	(/ 0.3333333333333333 (pow N 3))
51.0ms	(+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))

simplify1.1s

Counts

132 → 132

Iterations

Useful iterations: 2 (349.0ms)

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

prune378.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.6b	(log (+ N 1.0))
1.6b	(log (+ N 1.0))
1.6b	(log (+ N 1.0))
20.5b	(- (* (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0)))) (log N))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

15×	`log-prod`
14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`pow1` `add-exp-log`
6×	`log-div`
5×	`add-log-exp`
4×	`add-cbrt-cube`
3×	`flip3-+` `rem-log-exp` `log-pow` `flip-+` `distribute-lft-out` `associate--r+`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 60

Calls

4 calls:

9.0ms	(log (+ N 1.0))
9.0ms	(log (+ N 1.0))
10.0ms	(log (+ N 1.0))
68.0ms	(- (* (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0)))) (log N))

series323.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(log (+ N 1.0))
73.0ms	(log (+ N 1.0))
62.0ms	(log (+ N 1.0))
133.0ms	(- (* (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0)))) (log N))

simplify3.4s

Counts

72 → 72

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	97	1043
1	218	1018
2	502	651
3	1282	647
4	3582	632
done	5001	604

prune312.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

100% (0.0b remaining)

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

bsearch57.0ms

Steps

Iters	Range		Point
9	0.0033303272193615503	311302.39110615524	3050.1683654170097

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	37
1	24	37
done	24	37

end0.0ms

sample2.7s

Algorithm

intervals

Results

938.0ms	1731×	body	1280	valid
496.0ms	8200×	body	80	nan
361.0ms	1180×	body	640	valid
303.0ms	4111×	body	80	valid
129.0ms	679×	body	320	valid
38.0ms	299×	body	160	valid