Details

sample136.0ms

Algorithm

intervals

Results

39.0ms	293×	body	80	nan
36.0ms	54×	body	1280	valid
19.0ms	42×	body	640	valid
14.0ms	115×	body	80	valid
11.0ms	34×	body	320	valid
2.0ms	11×	body	160	valid

simplify11.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize13.0ms

Local error

Found 2 expressions with local error:

3.6b	(- (log (+ N 1)) (log N))
3.4b	(log (+ N 1))

rewrite13.0ms

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

9.0ms	(- (log (+ N 1)) (log N))
3.0ms	(log (+ N 1))

series125.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

95.0ms	(- (log (+ N 1)) (log N))
30.0ms	(log (+ N 1))

simplify1.0s

Counts: 49 → 49

prune361.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

11.6b	(+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))
0.6b	(/ 1/2 (* N N))
0.4b	(/ 1/3 (* N (* N N)))
0.1b	(* N (* N N))

rewrite96.0ms

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

62.0ms	(+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))
13.0ms	(/ 1/3 (* N (* N N)))
13.0ms	(* N (* N N))
6.0ms	(/ 1/2 (* N N))

series156.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

44.0ms	(+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))
41.0ms	(/ 1/3 (* N (* N N)))
36.0ms	(* N (* N N))
35.0ms	(/ 1/2 (* N N))

simplify2.8s

Counts: 105 → 105

prune705.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

11.6b	(+ (log (exp (/ 1/3 (* N (* N N))))) (- (/ 1 N) (/ 1/2 (* N N))))
1.3b	(log (exp (/ 1/3 (* N (* N N)))))
0.6b	(/ 1/2 (* N N))
0.4b	(/ 1/3 (* N (* N N)))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

Slowest

165.0ms	(+ (log (exp (/ 1/3 (* N (* N N))))) (- (/ 1 N) (/ 1/2 (* N N))))
22.0ms	(/ 1/3 (* N (* N N)))
17.0ms	(log (exp (/ 1/3 (* N (* N N)))))
6.0ms	(/ 1/2 (* N N))

series190.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

56.0ms	(/ 1/3 (* N (* N N)))
51.0ms	(log (exp (/ 1/3 (* N (* N N)))))
42.0ms	(+ (log (exp (/ 1/3 (* N (* N N))))) (- (/ 1 N) (/ 1/2 (* N N))))
41.0ms	(/ 1/2 (* N N))

simplify1.7s

Counts: 103 → 103

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1/3 N)
0.1b	(/ (/ 1 N) N)
0.1b	(* (/ (/ 1 N) N) (+ -1/2 (/ 1/3 N)))
0.0b	(+ (* (/ (/ 1 N) N) (+ -1/2 (/ 1/3 N))) (/ 1 N))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

155×	`times-frac`
103×	`add-sqr-sqrt`
93×	`*-un-lft-identity`
90×	`add-cube-cbrt`
43×	`associate-l`
30×	`add-exp-log`
20×	`add-cbrt-cube`
16×	`associate-/l*`
13×	`div-exp`
11×	`div-inv`
9×	`pow1`
7×	`cbrt-undiv`
6×	`associate-/r*` `add-log-exp`
5×	`flip3-+` `frac-add` `prod-exp` `flip-+` `unswap-sqr`
4×	`frac-times` `associate-r` `associate-*r/` `insert-posit16`
3×	`cbrt-unprod`
2×	`distribute-rgt-in` `rec-exp` `associate-+l+` `clear-num` `frac-2neg` `distribute-lft-in` `1-exp` `associate-*l/` `pow-div`
1×	`+-commutative` `sum-log` `pow-prod-down` `*-commutative` `pow-flip` `distribute-lft-out` `inv-pow` `associate-/l/`

Counts

4 → 199

Calls

4 calls:

Slowest

55.0ms	(* (/ (/ 1 N) N) (+ -1/2 (/ 1/3 N)))
23.0ms	(+ (* (/ (/ 1 N) N) (+ -1/2 (/ 1/3 N))) (/ 1 N))
12.0ms	(/ (/ 1 N) N)
3.0ms	(/ 1/3 N)

series235.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

141.0ms	(* (/ (/ 1 N) N) (+ -1/2 (/ 1/3 N)))
40.0ms	(+ (* (/ (/ 1 N) N) (+ -1/2 (/ 1/3 N))) (/ 1 N))
32.0ms	(/ (/ 1 N) N)
22.0ms	(/ 1/3 N)

simplify1.1s

Counts: 211 → 211

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes34.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 30.6b

bsearch55.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.5s	1826×	body	1280	valid
663.0ms	7822×	body	80	nan
521.0ms	1237×	body	640	valid
431.0ms	4050×	body	80	valid
169.0ms	577×	body	320	valid
49.0ms	310×	body	160	valid