Details

sample292.0ms

Algorithm

intervals

Results

75.0ms	82×	body	1280	valid
40.0ms	41×	body	10240	exit
39.0ms	59×	body	640	valid
32.0ms	160×	body	80	valid
28.0ms	28×	body	1280	nan
17.0ms	171×	body	80	nan
16.0ms	23×	body	640	nan
14.0ms	31×	body	320	valid
5.0ms	17×	body	160	valid
4.0ms	9×	body	320	nan
1.0ms	4×	body	160	nan

simplify300.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

300.0ms

(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.5b

localize15.0ms

Local error

Found 3 expressions with local error:

3.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.2b	(pow (+ x 1) (/ 1 n))
1.0b	(pow x (/ 1 n))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`pow-unpow`
19×	`add-cube-cbrt`
18×	`times-frac`
17×	`unpow-prod-down`
9×	`difference-of-squares`
8×	`sqr-pow`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`add-cbrt-cube` `insert-posit16` `distribute-lft-out--`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 82

Calls

3 calls:

Slowest

48.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
8.0ms	(pow (+ x 1) (/ 1 n))
5.0ms	(pow x (/ 1 n))

series468.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

254.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
128.0ms	(pow (+ x 1) (/ 1 n))
85.0ms	(pow x (/ 1 n))

simplify9.0s

Counts

69 → 91

Calls

69 calls:

Slowest

504.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
496.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt x) (/ 1 n)))
484.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
481.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
439.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (pow (sqrt x) (/ 1 n)))

prune939.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 23.5b

localize29.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
3.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
3.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.2b	(pow (+ x 1) (/ 1 n))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
34×	`unpow-prod-down`
27×	`difference-of-squares`
19×	`sqr-pow`
13×	`pow-unpow`
12×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`times-frac` `distribute-lft-out--`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `distribute-lft-out`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`

Counts

4 → 104

Calls

4 calls:

Slowest

89.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
73.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
56.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
6.0ms	(pow (+ x 1) (/ 1 n))

series858.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

265.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
257.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
245.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
91.0ms	(pow (+ x 1) (/ 1 n))

simplify23.8s

Counts

103 → 116

Calls

103 calls:

Slowest

661.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
570.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
549.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
537.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
515.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 23.5b

localize90.0ms

Local error

Found 4 expressions with local error:

3.7b	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow x (/ (/ 1 n) 2)))
3.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
3.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.2b	(pow (+ x 1) (/ 1 n))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
31×	`unpow-prod-down`
30×	`*-un-lft-identity` `difference-of-squares`
20×	`sqr-pow`
13×	`pow-unpow`
12×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`times-frac` `sqrt-prod`
7×	`distribute-lft-out--`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`

Counts

4 → 105

Calls

4 calls:

Slowest

72.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow x (/ (/ 1 n) 2)))
63.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
50.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
6.0ms	(pow (+ x 1) (/ 1 n))

series970.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

400.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow x (/ (/ 1 n) 2)))
251.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
223.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
96.0ms	(pow (+ x 1) (/ 1 n))

simplify22.7s

Counts

105 → 117

Calls

105 calls:

Slowest

803.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt x) (/ 1 n)))
563.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
512.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (pow (sqrt x) (/ 1 n)))
457.0ms	(- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
445.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))

prune2.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 23.4b

localize96.0ms

Local error

Found 4 expressions with local error:

3.6b	(log (/ (exp (sqrt (pow (+ x 1) (/ 1 n)))) (exp (pow x (/ (/ 1 n) 2)))))
3.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
3.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.2b	(pow (+ x 1) (/ 1 n))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
24×	`unpow-prod-down`
19×	`add-cube-cbrt`
18×	`times-frac` `difference-of-squares`
13×	`pow-unpow` `log-prod` `sqr-pow`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `distribute-lft-out--`
4×	`add-cbrt-cube` `insert-posit16`
3×	`distribute-lft-out`
2×	`exp-prod` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `div-inv` `flip--`
1×	`pow-to-exp` `log-div` `pow-pow` `div-exp` `pow-exp` `pow-div`

Counts

4 → 105

Calls

4 calls:

Slowest

70.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
66.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
21.0ms	(log (/ (exp (sqrt (pow (+ x 1) (/ 1 n)))) (exp (pow x (/ (/ 1 n) 2)))))
8.0ms	(pow (+ x 1) (/ 1 n))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

513.0ms	(log (/ (exp (sqrt (pow (+ x 1) (/ 1 n)))) (exp (pow x (/ (/ 1 n) 2)))))
261.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
241.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
108.0ms	(pow (+ x 1) (/ 1 n))

simplify21.2s

Counts

96 → 117

Calls

96 calls:

Slowest

825.0ms	(- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
584.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
540.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
527.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (pow (sqrt x) (/ 1 n)))
504.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))

prune2.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.4b

regimes487.0ms

Accuracy

79.9% (1.7b remaining)

Error of 22.8b against oracle of 21.1b and baseline of 29.5b

bsearch35.0ms

end0.0ms

sample11.0s

Algorithm

intervals

Results

3.5s	3092×	body	1280	valid
1.8s	1625×	body	640	valid
1.4s	1158×	body	10240	exit
901.0ms	626×	body	640	nan
857.0ms	4717×	body	80	valid
748.0ms	642×	body	1280	nan
613.0ms	5107×	body	80	nan
435.0ms	862×	body	320	valid
204.0ms	363×	body	320	nan
154.0ms	493×	body	160	valid
85.0ms	186×	body	160	nan