Details

sample347.0ms

Algorithm

intervals

Results

91.0ms	88×	body	1280	valid
58.0ms	45×	body	10240	exit
38.0ms	52×	body	640	valid
34.0ms	27×	body	320	valid
26.0ms	162×	body	80	valid
24.0ms	29×	body	640	nan
20.0ms	183×	body	80	nan
13.0ms	13×	body	1280	nan
8.0ms	23×	body	160	valid
5.0ms	10×	body	320	nan
2.0ms	7×	body	160	nan

simplify786.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

786.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize24.0ms

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))
0.8b	(pow x (/ 1 n))

rewrite89.0ms

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

78.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
7.0ms	(pow (+ x 1) (/ 1 n))
3.0ms	(pow x (/ 1 n))

series407.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

230.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
111.0ms	(pow (+ x 1) (/ 1 n))
66.0ms	(pow x (/ 1 n))

simplify9.3s

Counts

69 → 91

Calls

69 calls:

Slowest

617.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
535.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (pow (sqrt x) (/ 1 n)))
503.0ms	(- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
479.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt x) (/ 1 n)))
477.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))

prune931.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 20.5b

localize41.0ms

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))

rewrite225.0ms

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

84.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
70.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
62.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
7.0ms	(pow (+ x 1) (/ 1 n))

series928.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

281.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
262.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
260.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
125.0ms	(pow (+ x 1) (/ 1 n))

simplify24.7s

Counts

103 → 116

Calls

103 calls:

Slowest

852.0ms	(- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
564.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt x) (/ 1 n)))
535.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
532.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (pow (sqrt x) (/ 1 n)))
513.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 20.5b

localize22.0ms

Local error

Found 4 expressions with local error:

3.5b	(log (exp (- (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))
0.8b	(pow x (/ 1 n))

rewrite244.0ms

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--`

Counts

4 → 113

Calls

4 calls:

Slowest

133.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
95.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
12.0ms	(pow (+ x 1) (/ 1 n))
3.0ms	(pow x (/ 1 n))

series673.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

238.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
214.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
132.0ms	(pow (+ x 1) (/ 1 n))
88.0ms	(pow x (/ 1 n))

simplify15.9s

Counts

94 → 125

Calls

94 calls:

Slowest

544.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
542.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
534.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
492.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
482.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (pow (sqrt x) (/ 1 n)))

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 20.5b

localize70.0ms

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)))
3.0b	(log (exp (* (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
30×	`unpow-prod-down`
27×	`difference-of-squares`
26×	`*-un-lft-identity`
18×	`sqr-pow`
11×	`add-log-exp`
9×	`distribute-lft-out--`
5×	`pow1` `add-cube-cbrt`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`log-prod` `sub-neg` `flip3--` `diff-log` `log-pow` `flip--` `distribute-lft-out`
1×	`exp-prod` `exp-to-pow` `rem-log-exp`

Counts

4 → 90

Calls

4 calls:

Slowest

91.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
90.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
76.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
4.0ms	(log (exp (* (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

719.0ms	(log (exp (* (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))))
237.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
236.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
234.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify25.5s

Counts

90 → 102

Calls

90 calls:

Slowest

840.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (pow (sqrt x) (/ 1 n)))
569.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
534.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
527.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
517.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 20.5b

regimes375.0ms

Accuracy

84.3% (1.3b remaining)

Error of 22.2b against oracle of 20.9b and baseline of 29.0b

bsearch11.0ms

end0.0ms

sample10.7s

Algorithm

intervals

Results

3.3s	3143×	body	1280	valid
1.5s	1183×	body	10240	exit
1.2s	1553×	body	640	valid
1.0s	608×	body	1280	nan
960.0ms	885×	body	320	valid
749.0ms	4752×	body	80	valid
675.0ms	5201×	body	80	nan
493.0ms	650×	body	640	nan
177.0ms	378×	body	320	nan
141.0ms	452×	body	160	valid
75.0ms	189×	body	160	nan