Details

sample62.0ms

Algorithm

intervals

Results

18.0ms	51×	body	1280	valid
10.0ms	249×	body	80	nan
10.0ms	137×	body	80	valid
10.0ms	43×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	13×	body	160	valid

simplify10.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.8b

localize11.0ms

Local error

Found 2 expressions with local error:

2.8b	(- (log (+ N 1)) (log N))
2.5b	(log (+ N 1))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
7×	`add-sqr-sqrt` `pow1`
5×	`log-pow` `add-cube-cbrt`
4×	`log-div` `associate--l+` `distribute-lft-out--`
3×	`add-exp-log` `associate--r+`
2×	`associate--l-` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 43

Calls

2 calls:

Slowest

24.0ms	(- (log (+ N 1)) (log N))
4.0ms	(log (+ N 1))

series113.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

76.0ms	(- (log (+ N 1)) (log N))
37.0ms	(log (+ N 1))

simplify1.0s

Counts: 49 → 49

prune344.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

2.7b	(log (/ (+ 1 N) N))
0.0b	(/ (+ 1 N) N)

rewrite23.0ms

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

Counts

2 → 62

Calls

2 calls:

Slowest

17.0ms	(/ (+ 1 N) N)
3.0ms	(log (/ (+ 1 N) N))

series137.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

77.0ms	(log (/ (+ 1 N) N))
60.0ms	(/ (+ 1 N) N)

simplify1.5s

Counts: 68 → 68

prune438.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

3.0b	(+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))))
0.6b	(cbrt N)
0.6b	(cbrt N)
0.6b	(cbrt N)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
35×	`log-prod`
28×	`associate-+r+`
27×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`cbrt-prod`
10×	`distribute-lft-out`
8×	`pow1`
7×	`associate-+l+`
4×	`add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`log-div` `div-inv`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `associate-+l-` `flip-+`

Counts

4 → 89

Calls

4 calls:

Slowest

68.0ms	(+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))))
1.0ms	(cbrt N)
1.0ms	(cbrt N)
1.0ms	(cbrt N)

series965.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

282.0ms	(cbrt N)
261.0ms	(cbrt N)
256.0ms	(cbrt N)
166.0ms	(+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))))

simplify1.6s

Counts: 101 → 101

prune941.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

17.2b	(+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))
0.4b	(/ 1/3 (* N (* N N)))
0.3b	(/ 1/2 (* N N))
0.1b	(* N (* N N))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
18×	`pow1`
16×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac` `associate-/l*`
5×	`cbrt-undiv` `div-exp` `pow-prod-up`
4×	`insert-posit16`
3×	`associate-l` `pow-prod-down` `frac-add` `div-inv` `distribute-lft-out`
2×	`associate-+r+` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `distribute-lft-out--`
1×	`pow2` `+-commutative` `associate-+r-` `sub-neg` `flip3-+` `pow-plus` `flip3--` `diff-log` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `frac-sub` `flip-+` `flip--` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

Slowest

126.0ms	(+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))
28.0ms	(* N (* N N))
25.0ms	(/ 1/3 (* N (* N N)))
13.0ms	(/ 1/2 (* N N))

series224.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

72.0ms	(/ 1/3 (* N (* N N)))
65.0ms	(* N (* N N))
56.0ms	(/ 1/2 (* N N))
31.0ms	(+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))

simplify2.9s

Counts: 105 → 105

prune818.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.4b

bsearch54.0ms

end0.0ms

sample3.3s

Algorithm

intervals

Results

973.0ms	1718×	body	1280	valid
832.0ms	7752×	body	80	nan
574.0ms	1302×	body	640	valid
408.0ms	4069×	body	80	valid
195.0ms	616×	body	320	valid
45.0ms	295×	body	160	valid