Details

sample298.0ms

Algorithm

intervals

Results

103.0ms	76×	body	1280	valid
95.0ms	35×	body	2560	valid
49.0ms	58×	body	640	valid
11.0ms	97×	body	80	valid
8.0ms	73×	body	80	nan
7.0ms	16×	body	320	valid
6.0ms	19×	body	160	valid

simplify3.9s

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.4b

localize26.0ms

Local error

Found 4 expressions with local error:

11.4b	(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
8.1b	(pow (+ 1 (/ i n)) n)
2.4b	(- (pow (+ 1 (/ i n)) n) 1)
0.0b	(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))

rewrite516.0ms

Algorithm

rewrite-expression-head

Rules

584×	`times-frac`
485×	`add-sqr-sqrt`
366×	`*-un-lft-identity`
224×	`add-cube-cbrt`
174×	`associate-r`
168×	`difference-of-squares`
88×	`unpow-prod-down`
85×	`sqr-pow`
84×	`difference-of-sqr-1`
29×	`div-inv`
28×	`distribute-lft-out--`
19×	`add-exp-log`
18×	`add-cbrt-cube`
13×	`associate-/r` `associate-/l`
7×	`pow1`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`insert-posit16`
3×	`pow-unpow` `associate-l` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow-to-exp` `clear-num` `sub-neg` `pow-pow` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `pow-exp` `associate-r/` `-commutative` `distribute-lft-out`

Counts

4 → 453

Calls

4 calls:

Slowest

190.0ms	(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
184.0ms	(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
115.0ms	(- (pow (+ 1 (/ i n)) n) 1)
14.0ms	(pow (+ 1 (/ i n)) n)

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

421.0ms	(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
330.0ms	(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
293.0ms	(- (pow (+ 1 (/ i n)) n) 1)
266.0ms	(pow (+ 1 (/ i n)) n)

simplify853.0ms

Counts: 465 → 465

prune5.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 22.0b

localize43.0ms

Local error

Found 4 expressions with local error:

19.4b	(/ (+ (+ (* (* i i) 1/2) (* 1/6 (* i (* i i)))) i) (/ i n))
6.8b	(+ (* (* i i) 1/2) (* 1/6 (* i (* i i))))
0.1b	(* 1/6 (* i (* i i)))
0.1b	(* i (* i i))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 146

Calls

4 calls:

Slowest

157.0ms	(/ (+ (+ (* (* i i) 1/2) (* 1/6 (* i (* i i)))) i) (/ i n))
33.0ms	(* 1/6 (* i (* i i)))
19.0ms	(+ (* (* i i) 1/2) (* 1/6 (* i (* i i))))
14.0ms	(* i (* i i))

series308.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

125.0ms	(+ (* (* i i) 1/2) (* 1/6 (* i (* i i))))
91.0ms	(/ (+ (+ (* (* i i) 1/2) (* 1/6 (* i (* i i)))) i) (/ i n))
51.0ms	(* i (* i i))
41.0ms	(* 1/6 (* i (* i i)))

simplify675.0ms

Counts: 158 → 158

prune1.6s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 11.1b

localize28.0ms

Local error

Found 4 expressions with local error:

8.2b	(* (* i i) n)
5.1b	(+ (* 1/2 (* n i)) (* 1/6 (* (* i i) n)))
0.2b	(* 1/6 (* (* i i) n))
0.1b	(* 100 (+ n (+ (* 1/2 (* n i)) (* 1/6 (* (* i i) n)))))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-r` `add-cube-cbrt`
7×	`associate-l`
6×	`add-log-exp`
4×	`insert-posit16`
3×	`*-commutative`
2×	`flip3-+` `associate-*r/` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `distribute-lft-out`

Counts

4 → 78

Calls

4 calls:

Slowest

85.0ms	(* 100 (+ n (+ (* 1/2 (* n i)) (* 1/6 (* (* i i) n)))))
35.0ms	(* 1/6 (* (* i i) n))
19.0ms	(* (* i i) n)
15.0ms	(+ (* 1/2 (* n i)) (* 1/6 (* (* i i) n)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

88.0ms	(+ (* 1/2 (* n i)) (* 1/6 (* (* i i) n)))
67.0ms	(* 100 (+ n (+ (* 1/2 (* n i)) (* 1/6 (* (* i i) n)))))
23.0ms	(* 1/6 (* (* i i) n))
20.0ms	(* (* i i) n)

simplify447.0ms

Counts: 90 → 90

prune874.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 11.1b

localize29.0ms

Local error

Found 4 expressions with local error:

2.8b	(* n (+ (* 1/2 i) (* (* i i) 1/6)))
0.3b	(* 100 (* n (+ (* 1/2 i) (* (* i i) 1/6))))
0.2b	(* (* i i) 1/6)
0.0b	(+ (* n 100) (* 100 (* n (+ (* 1/2 i) (* (* i i) 1/6)))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-*r/` `add-log-exp`
4×	`associate-+r+` `insert-posit16`
3×	`flip3-+` `*-commutative` `flip-+`
2×	`unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

4 → 84

Calls

4 calls:

Slowest

25.0ms	(* 100 (* n (+ (* 1/2 i) (* (* i i) 1/6))))
22.0ms	(* n (+ (* 1/2 i) (* (* i i) 1/6)))
13.0ms	(* (* i i) 1/6)
10.0ms	(+ (* n 100) (* 100 (* n (+ (* 1/2 i) (* (* i i) 1/6)))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

125.0ms	(* 100 (* n (+ (* 1/2 i) (* (* i i) 1/6))))
106.0ms	(* n (+ (* 1/2 i) (* (* i i) 1/6)))
91.0ms	(+ (* n 100) (* 100 (* n (+ (* 1/2 i) (* (* i i) 1/6)))))
29.0ms	(* (* i i) 1/6)

simplify522.0ms

Counts: 96 → 96

prune784.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 11.1b

regimes312.0ms

Accuracy

55.2% (10.0b remaining)

Error of 20.6b against oracle of 10.6b and baseline of 32.9b

bsearch201.0ms

end0.0ms

sample8.1s

Algorithm

intervals

Results

2.9s	2486×	body	1280	valid
2.6s	1014×	body	2560	valid
988.0ms	1594×	body	640	valid
717.0ms	2992×	body	80	valid
293.0ms	835×	body	320	valid
257.0ms	2215×	body	80	nan
104.0ms	463×	body	160	valid
47.0ms	9×	body	5120	valid