Details

sample362.0ms

Algorithm

intervals

Results

120.0ms	30×	body	2560	valid
116.0ms	80×	body	1280	valid
41.0ms	53×	body	640	valid
22.0ms	16×	body	160	valid
15.0ms	28×	body	320	valid
14.0ms	91×	body	80	valid
12.0ms	83×	body	80	nan
4.0ms	1×	body	5120	valid

simplify180.0ms

Calls

1 calls:

Slowest

180.0ms

(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.3b

localize32.0ms

Local error

Found 4 expressions with local error:

10.7b	(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
7.3b	(pow (+ 1 (/ i n)) n)
1.8b	(- (pow (+ 1 (/ i n)) n) 1)
0.1b	(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))

rewrite568.0ms

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`

Calls

4 calls:

Slowest

245.0ms	(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
176.0ms	(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
118.0ms	(- (pow (+ 1 (/ i n)) n) 1)
17.0ms	(pow (+ 1 (/ i n)) n)

series1.5s

Calls

4 calls:

Slowest

482.0ms	(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
412.0ms	(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
334.0ms	(- (pow (+ 1 (/ i n)) n) 1)
298.0ms	(pow (+ 1 (/ i n)) n)

simplify2.4m

Calls

595 calls:

Slowest

971.0ms	(/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (cbrt n)))
707.0ms	(/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) (sqrt n)))
646.0ms	(/ (- (pow (+ 1 (/ i n)) n) 1) (/ 1 n))
636.0ms	(/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) 1))
627.0ms	(/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (sqrt i) 1))

prune3.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 19.5b

localize14.0ms

Local error

Found 4 expressions with local error:

5.8b	(pow (/ i n) n)
2.5b	(+ -1 (pow (/ i n) n))
0.1b	(/ (+ -1 (pow (/ i n) n)) (/ i n))
0.1b	(* 100 (/ (+ -1 (pow (/ i n) n)) (/ i n)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

197×	`times-frac`
160×	`*-un-lft-identity`
113×	`add-sqr-sqrt`
104×	`add-cube-cbrt`
57×	`associate-r`
28×	`distribute-lft-out`
21×	`add-exp-log`
18×	`add-cbrt-cube`
13×	`associate-/r*` `unpow-prod-down`
12×	`div-inv`
7×	`pow1` `div-exp`
6×	`cbrt-undiv` `add-log-exp`
4×	`insert-posit16` `associate-/l*`
3×	`pow-unpow` `associate-l` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`flip3-+` `pow-exp` `associate-/r/` `flip-+` `associate-/l/`
1×	`pow-to-exp` `+-commutative` `clear-num` `sum-log` `pow-pow` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `sqr-pow`

Calls

4 calls:

Slowest

38.0ms	(* 100 (/ (+ -1 (pow (/ i n) n)) (/ i n)))
31.0ms	(/ (+ -1 (pow (/ i n) n)) (/ i n))
12.0ms	(+ -1 (pow (/ i n) n))
4.0ms	(pow (/ i n) n)

series390.0ms

Calls

4 calls:

Slowest

142.0ms	(* 100 (/ (+ -1 (pow (/ i n) n)) (/ i n)))
132.0ms	(/ (+ -1 (pow (/ i n) n)) (/ i n))
71.0ms	(+ -1 (pow (/ i n) n))
44.0ms	(pow (/ i n) n)

simplify42.2s

Calls

229 calls:

Slowest

423.0ms	(/ (* (cbrt (+ -1 (pow (/ i n) n))) (cbrt (+ -1 (pow (/ i n) n)))) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
389.0ms	(* (sqrt 100) (/ (sqrt (+ -1 (pow (/ i n) n))) (/ (sqrt i) (sqrt n))))
388.0ms	(* (sqrt 100) (/ (sqrt (+ -1 (pow (/ i n) n))) (/ (sqrt i) (sqrt n))))
385.0ms	(/ (* (cbrt (+ -1 (pow (/ i n) n))) (cbrt (+ -1 (pow (/ i n) n)))) (/ (sqrt i) (sqrt n)))
383.0ms	(* (* (* 100 100) 100) (/ (* (* (+ -1 (pow (/ i n) n)) (+ -1 (pow (/ i n) n))) (+ -1 (pow (/ i n) n))) (/ (* (* i i) i) (* (* n n) n))))

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 16.7b

localize19.0ms

Local error

Found 4 expressions with local error:

5.8b	(pow (/ i n) n)
2.5b	(+ (pow (/ i n) n) -1)
2.4b	(log (exp (+ (pow (/ i n) n) -1)))
0.1b	(* 100 (/ (log (exp (+ (pow (/ i n) n) -1))) (/ i n)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

291×	`times-frac`
195×	`add-sqr-sqrt`
161×	`associate-r`
156×	`*-un-lft-identity`
126×	`log-pow` `add-cube-cbrt`
112×	`exp-prod`
60×	`difference-of-sqr--1`
43×	`unpow-prod-down`
21×	`pow1`
16×	`add-exp-log` `sqr-pow`
15×	`distribute-lft-out`
14×	`div-inv`
13×	`add-cbrt-cube`
6×	`add-log-exp`
4×	`log-prod` `div-exp` `insert-posit16`
3×	`cbrt-undiv` `pow-unpow` `associate-l` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`pow-exp`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3-+` `rem-log-exp` `exp-sum` `pow-prod-down` `associate-r/` `associate-/r/` `-commutative` `flip-+`

Calls

4 calls:

Slowest

111.0ms	(* 100 (/ (log (exp (+ (pow (/ i n) n) -1))) (/ i n)))
42.0ms	(log (exp (+ (pow (/ i n) n) -1)))
14.0ms	(+ (pow (/ i n) n) -1)
4.0ms	(pow (/ i n) n)

series325.0ms

Calls

4 calls:

Slowest

142.0ms	(* 100 (/ (log (exp (+ (pow (/ i n) n) -1))) (/ i n)))
69.0ms	(log (exp (+ (pow (/ i n) n) -1)))
66.0ms	(+ (pow (/ i n) n) -1)
47.0ms	(pow (/ i n) n)

simplify41.1s

Calls

225 calls:

Slowest

651.0ms	(/ (log (exp (sqrt (+ (pow (/ i n) n) -1)))) (/ (sqrt i) (sqrt n)))
482.0ms	(/ (log (exp (+ (pow (/ i n) (/ n 2)) 1))) (/ (cbrt i) (sqrt n)))
479.0ms	(/ (log (exp (+ (pow (/ i n) (/ n 2)) 1))) (/ (cbrt i) (cbrt n)))
397.0ms	(/ (log (exp (sqrt (+ (pow (/ i n) n) -1)))) (/ (cbrt i) (cbrt n)))
396.0ms	(/ (log (exp (sqrt (+ (pow (/ i n) n) -1)))) (/ (cbrt i) (sqrt n)))

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 16.6b

localize33.0ms

Local error

Found 4 expressions with local error:

5.8b	(pow (/ i n) n)
5.8b	(pow (/ i n) n)
5.8b	(pow (/ i n) n)
2.5b	(+ (pow (/ i n) n) -1)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

41×	`unpow-prod-down`
32×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
28×	`times-frac` `add-cube-cbrt`
13×	`add-exp-log`
9×	`pow-unpow`
7×	`pow1`
6×	`pow-exp` `add-log-exp`
4×	`difference-of-sqr--1` `add-cbrt-cube` `insert-posit16` `sqr-pow`
3×	`pow-to-exp` `pow-pow` `div-exp` `div-inv`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Calls

4 calls:

Slowest

14.0ms	(+ (pow (/ i n) n) -1)
4.0ms	(pow (/ i n) n)
4.0ms	(pow (/ i n) n)
4.0ms	(pow (/ i n) n)

series205.0ms

Calls

4 calls:

Slowest

66.0ms	(+ (pow (/ i n) n) -1)
48.0ms	(pow (/ i n) n)
47.0ms	(pow (/ i n) n)
44.0ms	(pow (/ i n) n)

simplify6.6s

Calls

72 calls:

Slowest

258.0ms	(- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1)
227.0ms	(- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)
219.0ms	(exp (* (- (log (/ 1 n)) (log (/ 1 i))) n))
219.0ms	(exp (* (- (log (/ 1 n)) (log (/ 1 i))) n))
218.0ms	(exp (* (- (log (/ 1 n)) (log (/ 1 i))) n))

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 16.6b

regimes161.0ms

Accuracy

53.6% (12.4b remaining)

Error of 28.9b against oracle of 16.4b and baseline of 43.2b

bsearch324.0ms

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.8s	2443×	body	1280	valid
2.4s	948×	body	2560	valid
885.0ms	1666×	body	640	valid
352.0ms	3079×	body	80	valid
308.0ms	879×	body	320	valid
192.0ms	2337×	body	80	nan
85.0ms	445×	body	160	valid
20.0ms	6×	body	5120	valid