Details

sample317.0ms

Algorithm

intervals

Results

137.0ms	117×	body	1280	valid
39.0ms	54×	body	640	valid
30.0ms	29×	body	10240	exit
22.0ms	161×	body	80	valid
16.0ms	157×	body	80	nan
16.0ms	20×	body	640	nan
16.0ms	16×	body	1280	nan
9.0ms	19×	body	320	valid
7.0ms	14×	body	320	nan
4.0ms	12×	body	160	valid
3.0ms	11×	body	160	nan

simplify247.0ms

Calls

1 calls:

Slowest

247.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.8b

localize28.0ms

Local error

Found 3 expressions with local error:

1.0b	(pow (+ x 1) (/ 1 n))
1.0b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
0.5b	(pow x (/ 1 n))

rewrite77.0ms

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

59.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
14.0ms	(pow (+ x 1) (/ 1 n))
3.0ms	(pow x (/ 1 n))

series448.0ms

Calls

3 calls:

Slowest

258.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
109.0ms	(pow (+ x 1) (/ 1 n))
81.0ms	(pow x (/ 1 n))

simplify9.9s

Calls

69 calls:

Slowest

574.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
542.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt x) (/ 1 n)))
526.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
502.0ms	(- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
491.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 20.2b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
39×	`pow-unpow`
28×	`add-cube-cbrt`
27×	`times-frac`
22×	`unpow-prod-down`
9×	`difference-of-squares` `sqr-pow`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube` `insert-posit16` `distribute-lft-out`
3×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Calls

4 calls:

Slowest

94.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
7.0ms	(pow (+ x 1) (/ 1 n))
7.0ms	(pow (+ x 1) (/ 1 n))
7.0ms	(pow (+ x 1) (/ 1 n))

series565.0ms

Calls

4 calls:

Slowest

239.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
118.0ms	(pow (+ x 1) (/ 1 n))
117.0ms	(pow (+ x 1) (/ 1 n))
91.0ms	(pow (+ x 1) (/ 1 n))

simplify10.9s

Calls

93 calls:

Slowest

610.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
541.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (pow (sqrt x) (/ 1 n)))
525.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt x) (/ 1 n)))
516.0ms	(- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
454.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))

prune1.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 20.2b

localize67.0ms

Local error

Found 4 expressions with local error:

1.4b	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow x (/ (/ 1 n) 2)))
1.0b	(pow (+ x 1) (/ 1 n))
1.0b	(pow (+ x 1) (/ 1 n))
1.0b	(pow (+ x 1) (/ 1 n))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

99.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow x (/ (/ 1 n) 2)))
16.0ms	(pow (+ x 1) (/ 1 n))
14.0ms	(pow (+ x 1) (/ 1 n))
7.0ms	(pow (+ x 1) (/ 1 n))

series683.0ms

Calls

4 calls:

Slowest

368.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow x (/ (/ 1 n) 2)))
114.0ms	(pow (+ x 1) (/ 1 n))
101.0ms	(pow (+ x 1) (/ 1 n))
101.0ms	(pow (+ x 1) (/ 1 n))

simplify10.8s

Calls

95 calls:

Slowest

556.0ms	(+ (sqrt (pow (+ x 1) (/ (/ 1 n) 2))) (pow (sqrt x) (/ (/ 1 n) 2)))
417.0ms	(- (sqrt (pow (+ x 1) (/ (/ 1 n) 2))) (pow x (/ (/ (/ 1 n) 2) 2)))
414.0ms	(pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n))
410.0ms	(pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n))
381.0ms	(- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (pow (sqrt x) (/ (/ 1 n) 2)))

prune2.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 20.2b

localize65.0ms

Local error

Found 4 expressions with local error:

1.4b	(log (/ (exp (sqrt (pow (+ x 1) (/ 1 n)))) (exp (pow x (/ (/ 1 n) 2)))))
1.0b	(pow (+ x 1) (/ 1 n))
1.0b	(pow (+ x 1) (/ 1 n))
1.0b	(pow (+ x 1) (/ 1 n))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
39×	`pow-unpow`
37×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`times-frac`
13×	`log-prod`
12×	`unpow-prod-down` `add-exp-log`
9×	`log-div`
8×	`pow1`
5×	`rem-log-exp`
4×	`add-cbrt-cube` `div-exp` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
3×	`pow-to-exp` `associate-/r*` `pow-pow` `pow-exp` `distribute-lft-out` `sqr-pow`
2×	`exp-prod` `clear-num` `log-rec` `log-pow`
1×	`frac-2neg` `pow-div`

Calls

4 calls:

Slowest

57.0ms	(log (/ (exp (sqrt (pow (+ x 1) (/ 1 n)))) (exp (pow x (/ (/ 1 n) 2)))))
14.0ms	(pow (+ x 1) (/ 1 n))
14.0ms	(pow (+ x 1) (/ 1 n))
14.0ms	(pow (+ x 1) (/ 1 n))

series841.0ms

Calls

4 calls:

Slowest

509.0ms	(log (/ (exp (sqrt (pow (+ x 1) (/ 1 n)))) (exp (pow x (/ (/ 1 n) 2)))))
124.0ms	(pow (+ x 1) (/ 1 n))
110.0ms	(pow (+ x 1) (/ 1 n))
98.0ms	(pow (+ x 1) (/ 1 n))

simplify11.3s

Calls

99 calls:

Slowest

442.0ms	(log (/ (* (cbrt (exp (sqrt (pow (+ x 1) (/ 1 n))))) (cbrt (exp (sqrt (pow (+ x 1) (/ 1 n)))))) 1))
433.0ms	(log (exp (sqrt (pow (+ x 1) (/ 1 n)))))
402.0ms	(pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n))
398.0ms	(pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n))
392.0ms	(log (sqrt (exp (sqrt (pow (+ x 1) (/ 1 n))))))

prune3.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 20.2b

regimes392.0ms

Accuracy

86.1% (1.2b remaining)

Error of 21.7b against oracle of 20.6b and baseline of 29.0b

bsearch315.0ms

end0.0ms

sample11.1s

Algorithm

intervals

Results

3.8s	3208×	body	1280	valid
1.7s	1556×	body	640	valid
1.2s	1103×	body	10240	exit
995.0ms	4701×	body	80	valid
730.0ms	635×	body	1280	nan
636.0ms	5168×	body	80	nan
591.0ms	641×	body	640	nan
537.0ms	821×	body	320	valid
242.0ms	345×	body	320	nan
154.0ms	442×	body	160	valid
52.0ms	175×	body	160	nan