Details

sample55.0ms

Algorithm

intervals

Results

15.0ms	55×	body	1280	valid
8.0ms	252×	body	80	nan
8.0ms	46×	body	640	valid
6.0ms	125×	body	80	valid
2.0ms	17×	body	320	valid
1.0ms	13×	body	160	valid

simplify5.0ms

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: 30.7b

localize8.0ms

Local error

Found 2 expressions with local error:

3.2b	(- (log (+ N 1.0)) (log N))
4.1b	(log (+ N 1.0))

rewrite19.0ms

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:

13.0ms	(- (log (+ N 1.0)) (log N))
5.0ms	(log (+ N 1.0))

series188.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(- (log (+ N 1.0)) (log N))
63.0ms	(log (+ N 1.0))

simplify3.0s

Counts

47 → 47

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	101	510
1	213	488
2	462	445
3	1063	443
4	2574	438
done	5001	426

prune166.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 0.5 N))
0.1b	(/ (- 1.0 (/ 0.5 N)) N)
0.3b	(/ 0.3333333333333333 (pow N 3))
9.6b	(+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

12.0ms	(- 1.0 (/ 0.5 N))
45.0ms	(/ (- 1.0 (/ 0.5 N)) N)
9.0ms	(/ 0.3333333333333333 (pow N 3))
140.0ms	(+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))

series260.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- 1.0 (/ 0.5 N))
113.0ms	(/ (- 1.0 (/ 0.5 N)) N)
49.0ms	(/ 0.3333333333333333 (pow N 3))
54.0ms	(+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))

simplify1.1s

Counts

150 → 150

Iterations

Useful iterations: 2 (327.0ms)

Iter	Nodes	Cost
0	214	1894
1	469	1689
2	1288	1578
done	5001	1578

prune408.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (/ N (- 1.0 (/ 0.5 N))))
0.1b	(/ N (- 1.0 (/ 0.5 N)))
0.3b	(/ 0.3333333333333333 (pow N 3))
9.6b	(+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N)))))

rewrite438.0ms

Algorithm

rewrite-expression-head

Rules

219×	`times-frac`
185×	`add-sqr-sqrt`
147×	`*-un-lft-identity`
105×	`add-cube-cbrt`
42×	`associate-/r*`
32×	`difference-of-squares`
22×	`add-exp-log`
16×	`distribute-lft-out--`
13×	`add-cbrt-cube`
12×	`unpow-prod-down` `cube-prod` `associate-/r/`
11×	`div-exp`
9×	`div-inv` `associate-/l*`
6×	`cube-mult` `add-log-exp`
5×	`pow1` `cbrt-undiv` `flip3--` `flip--` `distribute-lft-out`
4×	`unpow3` `sqr-pow`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp`
1×	`+-commutative` `pow-to-exp` `pow-flip` `flip3-+` `frac-add` `pow-exp` `sum-log` `flip-+` `inv-pow`

Counts

4 → 243

Calls

4 calls:

49.0ms	(/ 1 (/ N (- 1.0 (/ 0.5 N))))
34.0ms	(/ N (- 1.0 (/ 0.5 N)))
8.0ms	(/ 0.3333333333333333 (pow N 3))
324.0ms	(+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N)))))

series321.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(/ 1 (/ N (- 1.0 (/ 0.5 N))))
72.0ms	(/ N (- 1.0 (/ 0.5 N)))
69.0ms	(/ 0.3333333333333333 (pow N 3))
57.0ms	(+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N)))))

simplify1.4s

Counts

255 → 255

Iterations

Useful iterations: 2 (736.0ms)

Iter	Nodes	Cost
0	367	4138
1	776	3570
2	2020	3239
done	5000	3239

prune653.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
3.3b	(log (/ (+ N 1.0) N))

rewrite41.0ms

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:

31.0ms	(/ (+ N 1.0) N)
6.0ms	(log (/ (+ N 1.0) N))

series226.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(/ (+ N 1.0) N)
127.0ms	(log (/ (+ N 1.0) N))

simplify3.4s

Counts

66 → 66

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	108	723
1	232	690
2	583	637
3	1417	624
4	3874	622
done	5001	622

prune190.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes41.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 32.0b

bsearch41.0ms

Steps

Iters	Range		Point
6	9556.682540875734	100426.34546533476	9772.093561518632

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	25
1	23	25
done	23	25

end0.0ms

sample2.9s

Algorithm

intervals

Results

793.0ms	1276×	body	640	valid
769.0ms	1714×	body	1280	valid
428.0ms	8150×	body	80	nan
353.0ms	4126×	body	80	valid
98.0ms	591×	body	320	valid
31.0ms	293×	body	160	valid