Details

sample270.0ms

Algorithm

intervals

Results

81.0ms	99×	body	1280	valid
39.0ms	140×	body	80	nan
35.0ms	53×	body	640	valid
25.0ms	31×	body	10240	exit
24.0ms	27×	body	1280	nan
17.0ms	144×	body	80	valid
11.0ms	25×	body	320	valid
10.0ms	17×	body	640	nan
6.0ms	14×	body	320	nan
3.0ms	11×	body	160	valid
1.0ms	6×	body	160	nan

simplify275.0ms

Calls

1 calls:

Slowest

274.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.9b

localize19.0ms

Local error

Found 3 expressions with local error:

1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
0.5b	(pow x (/ 1 n))
0.5b	(pow (+ x 1) (/ 1 n))

rewrite83.0ms

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--`

Calls

3 calls:

Slowest

62.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
16.0ms	(pow (+ x 1) (/ 1 n))
3.0ms	(pow x (/ 1 n))

series471.0ms

Calls

3 calls:

Slowest

277.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
99.0ms	(pow (+ x 1) (/ 1 n))
95.0ms	(pow x (/ 1 n))

simplify9.6s

Calls

69 calls:

Slowest

552.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
513.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
502.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt x) (/ 1 n)))
465.0ms	(- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
462.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (pow (sqrt x) (/ 1 n)))

prune951.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 18.3b

localize40.0ms

Local error

Found 4 expressions with local error:

1.5b	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
0.5b	(pow x (/ 1 n))
0.5b	(pow (+ x 1) (/ 1 n))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
27×	`unpow-prod-down`
26×	`pow-unpow`
22×	`add-cube-cbrt`
18×	`times-frac` `difference-of-squares`
16×	`log-pow`
15×	`exp-prod`
14×	`sqr-pow`
7×	`pow1`
6×	`add-exp-log` `distribute-lft-out--` `add-log-exp`
5×	`log-prod`
4×	`add-cbrt-cube` `insert-posit16`
3×	`distribute-lft-out`
2×	`pow-to-exp` `sub-neg` `pow-pow` `exp-sum` `pow-exp` `div-inv`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Calls

4 calls:

Slowest

116.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
89.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
14.0ms	(pow (+ x 1) (/ 1 n))
6.0ms	(pow x (/ 1 n))

series748.0ms

Calls

4 calls:

Slowest

278.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
256.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
120.0ms	(pow (+ x 1) (/ 1 n))
93.0ms	(pow x (/ 1 n))

simplify16.3s

Calls

94 calls:

Slowest

649.0ms	(- (/ 1 (* x n)) (+ (/ (log (/ 1 x)) (* x (pow n 2))) (* 1/2 (/ 1 (* (pow x 2) n)))))
509.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
498.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
471.0ms	(- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
469.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (pow (sqrt x) (/ 1 n)))

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 18.3b

localize34.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
0.5b	(pow x (/ 1 n))
0.5b	(pow x (/ 1 n))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
26×	`pow-unpow` `unpow-prod-down`
20×	`add-cube-cbrt`
18×	`times-frac` `difference-of-squares`
14×	`sqr-pow`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `distribute-lft-out--`
4×	`add-cbrt-cube` `insert-posit16`
2×	`pow-to-exp` `sub-neg` `pow-pow` `flip3--` `diff-log` `pow-exp` `div-inv` `flip--` `distribute-lft-out`

Calls

4 calls:

Slowest

49.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
46.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
3.0ms	(pow x (/ 1 n))
3.0ms	(pow x (/ 1 n))

series602.0ms

Calls

4 calls:

Slowest

240.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
227.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
68.0ms	(pow x (/ 1 n))
67.0ms	(pow x (/ 1 n))

simplify16.7s

Calls

94 calls:

Slowest

550.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
515.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
511.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (pow (sqrt x) (/ 1 n)))
496.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
493.0ms	(- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))

prune1.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 18.2b

localize70.0ms

Local error

Found 4 expressions with local error:

1.7b	(- (pow (+ x 1) (/ 1 n)) (log (exp (pow x (/ 1 n)))))
1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
0.6b	(log (exp (sqrt (- (pow (+ x 1) (/ 1 n)) (log (exp (pow x (/ 1 n))))))))
0.5b	(pow x (/ 1 n))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`unpow-prod-down` `difference-of-squares`
14×	`log-pow`
13×	`pow-unpow`
11×	`exp-prod`
9×	`times-frac` `sqr-pow`
8×	`pow1` `sqrt-prod`
7×	`distribute-lft-out--` `add-log-exp`
6×	`log-prod`
5×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16`
3×	`associate--r+`
2×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp` `div-inv` `distribute-lft-out`

Calls

4 calls:

Slowest

152.0ms	(log (exp (sqrt (- (pow (+ x 1) (/ 1 n)) (log (exp (pow x (/ 1 n))))))))
71.0ms	(- (pow (+ x 1) (/ 1 n)) (log (exp (pow x (/ 1 n)))))
54.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
6.0ms	(pow x (/ 1 n))

series1.0s

Calls

4 calls:

Slowest

421.0ms	(log (exp (sqrt (- (pow (+ x 1) (/ 1 n)) (log (exp (pow x (/ 1 n))))))))
274.0ms	(- (pow (+ x 1) (/ 1 n)) (log (exp (pow x (/ 1 n)))))
245.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
60.0ms	(pow x (/ 1 n))

simplify16.9s

Calls

80 calls:

Slowest

795.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (pow (sqrt x) (/ 1 n)))
500.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
471.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt x) (/ 1 n)))
470.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
466.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 18.2b

regimes338.0ms

Accuracy

86.1% (1.2b remaining)

Error of 21.9b against oracle of 20.7b and baseline of 29.5b

bsearch9.0ms

end0.0ms

sample10.4s

Algorithm

intervals

Results

3.4s	3158×	body	1280	valid
2.0s	1631×	body	640	valid
1.3s	1099×	body	10240	exit
779.0ms	672×	body	1280	nan
746.0ms	4671×	body	80	valid
597.0ms	5011×	body	80	nan
465.0ms	608×	body	640	nan
412.0ms	844×	body	320	valid
164.0ms	425×	body	160	valid
159.0ms	333×	body	320	nan
74.0ms	170×	body	160	nan