Details

sample62.0ms

Algorithm

intervals

Results

19.0ms	51×	body	1280	valid
10.0ms	229×	body	80	nan
10.0ms	143×	body	80	valid
10.0ms	39×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	11×	body	160	valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	11
0	6

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.7b

localize16.0ms

Local error

Found 1 expressions with local error:

2.5b	(- (log1p N) (log N))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `prod-diff`
10×	`add-cube-cbrt`
5×	`pow1`
4×	`log-pow`
3×	`log-prod` `fma-neg` `associate--r+`
2×	`diff-log` `distribute-lft-out--` `add-log-exp`
1×	`expm1-log1p-u` `log1p-udef` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `difference-of-squares`

Counts

1 → 37

Calls

1 calls:

8.0ms

(- (log1p N) (log N))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(- (log1p N) (log N))

simplify3.0s

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
4	4052
3	1137
2	403
1	185
0	83

prune97.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1 N) N)
2.6b	(log (/ (+ 1 N) N))

rewrite22.0ms

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×	`expm1-log1p-u` `div-exp` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 66

Calls

2 calls:

14.0ms	(/ (+ 1 N) N)
7.0ms	(log (/ (+ 1 N) N))

series125.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (+ 1 N) N)
50.0ms	(log (/ (+ 1 N) N))

simplify2.0s

Counts

72 → 72

Iterations

Iter	Nodes
done	5052
3	2586
2	583
1	244
0	106

prune235.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1 N))
0.1b	(/ (sqrt (+ 1 N)) N)
2.5b	(+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))
2.9b	(log (sqrt (+ 1 N)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
42×	`times-frac`
40×	`add-cube-cbrt` `sqrt-prod`
39×	`log-prod`
25×	`associate-+r+`
14×	`distribute-lft-out`
13×	`pow1`
10×	`log-pow`
8×	`sqrt-div`
7×	`associate-+l+` `add-exp-log` `associate-/l*`
6×	`fma-def` `add-cbrt-cube`
5×	`log-div` `flip3-+` `flip-+`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `sqrt-pow1` `pow1/2`
2×	`associate-+l-` `hypot-def` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `clear-num` `associate-+r-` `sum-log` `frac-2neg` `div-exp` `rem-log-exp` `hypot-1-def`

Counts

4 → 152

Calls

4 calls:

10.0ms	(sqrt (+ 1 N))
21.0ms	(/ (sqrt (+ 1 N)) N)
27.0ms	(+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))
7.0ms	(log (sqrt (+ 1 N)))

series404.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (+ 1 N))
85.0ms	(/ (sqrt (+ 1 N)) N)
207.0ms	(+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))
74.0ms	(log (sqrt (+ 1 N)))

simplify2.8s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
3	4811
2	1236
1	478
0	223

prune709.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (log (/ (+ 1 N) N)))
2.6b	(log (/ (+ 1 N) N))
2.6b	(log (/ (+ 1 N) N))
2.6b	(log (/ (+ 1 N) N))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
47×	`*-un-lft-identity`
36×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
9×	`distribute-lft-out`
8×	`pow1`
6×	`rem-log-exp`
4×	`cbrt-prod` `expm1-log1p-u` `add-cbrt-cube` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `div-exp` `div-inv`
1×	`pow1/3`

Counts

4 → 105

Calls

4 calls:

1.0ms	(cbrt (log (/ (+ 1 N) N)))
4.0ms	(log (/ (+ 1 N) N))
4.0ms	(log (/ (+ 1 N) N))
4.0ms	(log (/ (+ 1 N) N))

series274.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (log (/ (+ 1 N) N)))
51.0ms	(log (/ (+ 1 N) N))
77.0ms	(log (/ (+ 1 N) N))
53.0ms	(log (/ (+ 1 N) N))

simplify2.3s

Counts

117 → 117

Iterations

Iter	Nodes
done	5032
3	2480
2	765
1	297
0	138

prune549.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes50.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 28.7b

bsearch45.0ms

Steps

Iters	Range		Point
7	315.1021581913647	12461.173664998358	8041.189519456958

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.1s	1684×	body	1280	valid
770.0ms	4163×	body	80	valid
551.0ms	7961×	body	80	nan
472.0ms	1231×	body	640	valid
175.0ms	610×	body	320	valid
48.0ms	312×	body	160	valid