Details

sample55.0ms

Algorithm

intervals

Results

13.0ms	46×	body	1280	valid
9.0ms	265×	body	80	nan
9.0ms	49×	body	640	valid
6.0ms	129×	body	80	valid
3.0ms	23×	body	320	valid
1.0ms	9×	body	160	valid

simplify15.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize8.0ms

Local error

Found 2 expressions with local error:

2.0b	(- (log (+ N 1.0)) (log N))
2.4b	(log (+ N 1.0))

rewrite37.0ms

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:

30.0ms	(- (log (+ N 1.0)) (log N))
6.0ms	(log (+ N 1.0))

series261.0ms

Counts

2 → 6

Calls

2 calls:

183.0ms	(- (log (+ N 1.0)) (log N))
79.0ms	(log (+ N 1.0))

simplify822.0ms

Counts: 47 → 47

prune158.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))))
2.4b	(log (+ N 1.0))
2.4b	(log (+ N 1.0))
15.1b	(- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log N))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
27×	`pow1`
26×	`sqrt-prod`
21×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`log-prod` `swap-sqr`
8×	`add-exp-log` `sqrt-pow1` `pow1/2` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-cbrt-cube`
5×	`pow-prod-up` `add-log-exp`
4×	`log-div` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr` `associate--r+`
2×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares`

Counts

4 → 100

Calls

4 calls:

28.0ms	(* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))))
9.0ms	(log (+ N 1.0))
10.0ms	(log (+ N 1.0))
35.0ms	(- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log N))

series329.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))))
55.0ms	(log (+ N 1.0))
61.0ms	(log (+ N 1.0))
131.0ms	(- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log N))

simplify710.0ms

Counts: 112 → 112

prune291.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.3333333333333333 (/ 1 (pow N 3)))
0.1b	(/ (/ 0.5 N) N)
0.3b	(/ 1 (pow N 3))
16.3b	(- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

155×	`times-frac`
114×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
94×	`add-cube-cbrt`
40×	`associate-r`
38×	`add-exp-log`
23×	`unpow-prod-down` `cube-prod`
16×	`add-cbrt-cube` `associate-/l*`
15×	`div-exp` `associate-/r*`
10×	`prod-exp`
9×	`unswap-sqr` `sqr-pow`
7×	`cube-mult` `unpow3` `div-inv`
6×	`pow1` `pow-to-exp` `rec-exp` `1-exp` `pow-exp` `add-log-exp`
5×	`cbrt-undiv`
3×	`associate-l`
2×	`frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `frac-sub` `cbrt-unprod`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `pow-prod-down` `*-commutative` `flip--` `associate-/l/` `inv-pow`

Counts

4 → 232

Calls

4 calls:

39.0ms	(* 0.3333333333333333 (/ 1 (pow N 3)))
25.0ms	(/ (/ 0.5 N) N)
20.0ms	(/ 1 (pow N 3))
88.0ms	(- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))

series289.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* 0.3333333333333333 (/ 1 (pow N 3)))
52.0ms	(/ (/ 0.5 N) N)
44.0ms	(/ 1 (pow N 3))
138.0ms	(- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))

simplify1.5s

Counts: 244 → 244

prune669.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes21.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.9b

bsearch55.0ms

Steps

Iters	Range		Point
10	1.3099675947624547e-09	64828.07766974042	3995.2538179566036

simplify573.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

912.0ms	1763×	body	1280	valid
373.0ms	8036×	body	80	nan
346.0ms	1222×	body	640	valid
302.0ms	4047×	body	80	valid
114.0ms	658×	body	320	valid
99.0ms	310×	body	160	valid