Details

sample341.0ms

Algorithm

intervals

Results

138.0ms	109×	body	1280	valid
43.0ms	61×	body	640	valid
42.0ms	31×	body	10240	exit
21.0ms	133×	body	80	valid
19.0ms	19×	body	1280	nan
17.0ms	161×	body	80	nan
17.0ms	23×	body	640	nan
11.0ms	25×	body	320	valid
7.0ms	15×	body	320	nan
5.0ms	16×	body	160	valid
0.0ms	1×	body	160	nan

simplify235.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

235.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.5b

localize26.0ms

Local error

Found 3 expressions with local error:

2.1b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0b	(pow (+ x 1) (/ 1 n))
0.3b	(pow x (/ 1 n))

rewrite100.0ms

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

79.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
12.0ms	(pow (+ x 1) (/ 1 n))
7.0ms	(pow x (/ 1 n))

series432.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

236.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
120.0ms	(pow (+ x 1) (/ 1 n))
76.0ms	(pow x (/ 1 n))

simplify9.3s

Counts

69 → 91

Calls

69 calls:

Slowest

566.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
485.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
468.0ms	(- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
454.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
453.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (pow (sqrt x) (/ 1 n)))

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 22.9b

localize31.0ms

Local error

Found 4 expressions with local error:

5.3b	(log (pow x (/ 1 n)))
2.1b	(- (pow (+ x 1) (/ 1 n)) (exp (log (pow x (/ 1 n)))))
1.0b	(pow (+ x 1) (/ 1 n))
0.3b	(pow x (/ 1 n))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
26×	`pow-unpow` `*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`times-frac`
17×	`unpow-prod-down`
16×	`log-prod`
12×	`difference-of-squares`
10×	`sqr-pow`
9×	`exp-sum`
8×	`add-exp-log`
6×	`pow1` `add-log-exp`
4×	`add-cbrt-cube` `insert-posit16`
3×	`pow-to-exp` `rem-log-exp` `pow-exp`
2×	`pow-pow` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `log-pow` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 102

Calls

4 calls:

Slowest

63.0ms	(- (pow (+ x 1) (/ 1 n)) (exp (log (pow x (/ 1 n)))))
7.0ms	(pow (+ x 1) (/ 1 n))
3.0ms	(log (pow x (/ 1 n)))
3.0ms	(pow x (/ 1 n))

series500.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

254.0ms	(- (pow (+ x 1) (/ 1 n)) (exp (log (pow x (/ 1 n)))))
91.0ms	(log (pow x (/ 1 n)))
90.0ms	(pow (+ x 1) (/ 1 n))
65.0ms	(pow x (/ 1 n))

simplify13.3s

Counts

85 → 114

Calls

85 calls:

Slowest

706.0ms	(+ (pow (+ x 1) (/ (/ 1 n) 2)) (sqrt (exp (log (pow x (/ 1 n))))))
567.0ms	(- (pow (sqrt (+ x 1)) (/ 1 n)) (exp (log (sqrt (pow x (/ 1 n))))))
567.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (exp (log (pow (sqrt x) (/ 1 n)))))
552.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (exp (log (sqrt (pow x (/ 1 n))))))
528.0ms	(+ (pow (+ x 1) (/ (/ 1 n) 2)) (exp (log (pow (sqrt x) (/ 1 n)))))

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 19.7b

localize40.0ms

Local error

Found 4 expressions with local error:

5.1b	(log (pow x (/ (/ 1 n) 2)))
5.1b	(log (pow x (/ (/ 1 n) 2)))
2.1b	(- (pow (+ x 1) (/ (/ 1 n) 2)) (exp (log (pow x (/ (/ 1 n) 2)))))
1.0b	(pow (+ x 1) (/ (/ 1 n) 2))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
61×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
44×	`add-cube-cbrt`
43×	`pow-unpow`
23×	`log-prod`
17×	`unpow-prod-down`
12×	`difference-of-squares`
10×	`sqr-pow`
9×	`exp-sum` `add-exp-log`
6×	`rem-log-exp` `add-log-exp`
5×	`pow1`
4×	`add-cbrt-cube` `insert-posit16` `div-inv`
3×	`pow-to-exp` `pow-exp`
2×	`log-pow`
1×	`sub-neg` `pow-pow` `flip3--` `diff-log` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 123

Calls

4 calls:

Slowest

68.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (exp (log (pow x (/ (/ 1 n) 2)))))
7.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
7.0ms	(log (pow x (/ (/ 1 n) 2)))
6.0ms	(log (pow x (/ (/ 1 n) 2)))

series586.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

236.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (exp (log (pow x (/ (/ 1 n) 2)))))
137.0ms	(log (pow x (/ (/ 1 n) 2)))
107.0ms	(log (pow x (/ (/ 1 n) 2)))
105.0ms	(pow (+ x 1) (/ (/ 1 n) 2))

simplify17.0s

Counts

109 → 135

Calls

109 calls:

Slowest

578.0ms	(log (* (cbrt (pow x (/ (/ 1 n) 2))) (cbrt (pow x (/ (/ 1 n) 2)))))
528.0ms	(- (pow (+ x 1) (/ (/ (/ 1 n) 2) 2)) (sqrt (exp (log (pow x (/ (/ 1 n) 2))))))
513.0ms	(+ (pow (sqrt (+ x 1)) (/ (/ 1 n) 2)) (exp (log (pow x (/ (/ (/ 1 n) 2) 2)))))
511.0ms	(log (* (cbrt (pow x (/ (/ 1 n) 2))) (cbrt (pow x (/ (/ 1 n) 2)))))
495.0ms	(+ (pow (+ x 1) (/ (/ (/ 1 n) 2) 2)) (sqrt (exp (log (pow x (/ (/ 1 n) 2))))))

prune2.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 19.7b

localize60.0ms

Local error

Found 4 expressions with local error:

5.1b	(log (pow x (/ (/ 1 n) 2)))
5.1b	(log (pow x (/ (/ 1 n) 2)))
5.1b	(log (pow x (/ (/ 1 n) 2)))
5.1b	(log (pow x (/ (/ 1 n) 2)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
12×	`add-sqr-sqrt` `unpow-prod-down` `*-un-lft-identity` `rem-log-exp` `add-exp-log` `add-cube-cbrt`
4×	`pow-to-exp` `pow1` `add-cbrt-cube` `pow-exp` `log-pow` `insert-posit16` `add-log-exp` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

Slowest

6.0ms	(log (pow x (/ (/ 1 n) 2)))
3.0ms	(log (pow x (/ (/ 1 n) 2)))
3.0ms	(log (pow x (/ (/ 1 n) 2)))
3.0ms	(log (pow x (/ (/ 1 n) 2)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

140.0ms	(log (pow x (/ (/ 1 n) 2)))
136.0ms	(log (pow x (/ (/ 1 n) 2)))
99.0ms	(log (pow x (/ (/ 1 n) 2)))
93.0ms	(log (pow x (/ (/ 1 n) 2)))

simplify11.4s

Counts

56 → 88

Calls

56 calls:

Slowest

843.0ms	(log (* (cbrt (pow x (/ (/ 1 n) 2))) (cbrt (pow x (/ (/ 1 n) 2)))))
592.0ms	(log (* (cbrt (pow x (/ (/ 1 n) 2))) (cbrt (pow x (/ (/ 1 n) 2)))))
535.0ms	(log (sqrt (pow x (/ (/ 1 n) 2))))
488.0ms	(log (* (cbrt (pow x (/ (/ 1 n) 2))) (cbrt (pow x (/ (/ 1 n) 2)))))
486.0ms	(* -1 (/ (- (* 1/2 (log (/ -1 x))) (* 1/2 (log -1))) n))

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 19.7b

Details

sample341.0ms

simplify235.0ms

prune5.0ms

localize26.0ms

rewrite100.0ms

series432.0ms

simplify9.3s

prune1.0s

localize31.0ms

rewrite76.0ms

series500.0ms

simplify13.3s

prune1.4s

localize40.0ms

rewrite90.0ms

series586.0ms

simplify17.0s

prune2.1s

localize60.0ms

rewrite18.0ms

series469.0ms

simplify11.4s

prune1.4s

regimes310.0ms