Details

sample1.2s

Algorithm

intervals

Results

395.0ms	122×	body	10240	exit
276.0ms	102×	body	1280	valid
167.0ms	93×	body	640	valid
162.0ms	61×	body	1280	nan
58.0ms	25×	body	320	valid
56.0ms	38×	body	640	nan
25.0ms	21×	body	320	nan
19.0ms	26×	body	160	valid
9.0ms	13×	body	160	nan
8.0ms	12×	body	80	valid
7.0ms	13×	body	80	nan

simplify1.2s

Counts: 1 → 1

prune69.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize210.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
0.9b	(/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (+ (+ 7 (- z 1)) 0.5)))
0.9b	(+ (/ -0.13857109526572012 (+ 6 (- z 1))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))
0.8b	(* (+ (+ (+ (/ 771.3234287776531 (- (+ z 3) 1)) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (+ (/ -1259.1392167224028 (+ 2 (- z 1))) (+ (/ -176.6150291621406 (+ (- z 1) 4)) (/ 12.507343278686905 (+ (- z 1) 5)))))) (+ (/ -0.13857109526572012 (+ 6 (- z 1))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))) (/ 9.984369578019572e-06 (+ 7 (- z 1)))) (/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (+ (+ 7 (- z 1)) 0.5))))

rewrite4.0m

Algorithm

rewrite-expression-head

Rules

381×	`frac-add`
286×	`*-un-lft-identity`
152×	`distribute-lft-out`
109×	`times-frac`
99×	`flip3-+` `flip-+`
57×	`add-sqr-sqrt`
55×	`unpow-prod-down`
49×	`associate-r`
47×	`add-cube-cbrt`
46×	`frac-times` `associate-*l/`
23×	`exp-sum`
20×	`associate-l`
15×	`distribute-lft-out--`
13×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/l*`
10×	`sqr-pow`
9×	`pow1` `unpow-prod-up`
6×	`div-exp` `add-log-exp`
4×	`associate-/r*` `prod-exp` `insert-posit16` `unswap-sqr`
3×	`associate-+l-`
2×	`pow-to-exp` `cbrt-undiv` `associate-+r-` `sqrt-pow1` `exp-diff` `pow-prod-down` `pow-exp` `associate-/r/` `cbrt-unprod` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow1/2` `associate-r/` `-commutative` `sqrt-prod` `pow-sub` `associate-/l/`

Counts

4 → 293

Calls

4 calls:

Slowest

4.0m	(* (+ (+ (+ (/ 771.3234287776531 (- (+ z 3) 1)) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (+ (/ -1259.1392167224028 (+ 2 (- z 1))) (+ (/ -176.6150291621406 (+ (- z 1) 4)) (/ 12.507343278686905 (+ (- z 1) 5)))))) (+ (/ -0.13857109526572012 (+ 6 (- z 1))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))) (/ 9.984369578019572e-06 (+ 7 (- z 1)))) (/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (+ (+ 7 (- z 1)) 0.5))))
622.0ms	(/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (+ (+ 7 (- z 1)) 0.5)))
169.0ms	(+ (/ -0.13857109526572012 (+ 6 (- z 1))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))
3.0ms	(sqrt (* PI 2))

series584.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

363.0ms	(* (+ (+ (+ (/ 771.3234287776531 (- (+ z 3) 1)) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (+ (/ -1259.1392167224028 (+ 2 (- z 1))) (+ (/ -176.6150291621406 (+ (- z 1) 4)) (/ 12.507343278686905 (+ (- z 1) 5)))))) (+ (/ -0.13857109526572012 (+ 6 (- z 1))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))) (/ 9.984369578019572e-06 (+ 7 (- z 1)))) (/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (+ (+ 7 (- z 1)) 0.5))))
167.0ms	(/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (+ (+ 7 (- z 1)) 0.5)))
53.0ms	(+ (/ -0.13857109526572012 (+ 6 (- z 1))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))
0.0ms	(sqrt (* PI 2))

simplify10.7s

Counts: 303 → 303

prune8.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize123.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
0.9b	(/ (pow (+ z 6.5) (- z 0.5)) (exp (+ z 6.5)))
0.9b	(+ (/ -0.13857109526572012 (+ 6 (- z 1))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))
0.8b	(* (+ (+ (+ (/ 771.3234287776531 (- (+ z 3) 1)) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (+ (/ -1259.1392167224028 (+ 2 (- z 1))) (+ (/ -176.6150291621406 (+ (- z 1) 4)) (/ 12.507343278686905 (+ (- z 1) 5)))))) (+ (/ -0.13857109526572012 (+ 6 (- z 1))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))) (/ 9.984369578019572e-06 (+ 7 (- z 1)))) (/ (pow (+ z 6.5) (- z 0.5)) (exp (+ z 6.5))))

rewrite3.1m

Algorithm

rewrite-expression-head

Rules

381×	`frac-add`
221×	`*-un-lft-identity`
116×	`distribute-lft-out`
101×	`times-frac`
99×	`flip3-+` `flip-+`
55×	`add-sqr-sqrt`
46×	`frac-times` `associate-*l/`
45×	`add-cube-cbrt`
44×	`associate-r`
37×	`unpow-prod-down`
21×	`exp-sum`
20×	`associate-l`
18×	`unpow-prod-up`
13×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`associate-/l*` `sqr-pow`
9×	`pow1` `sub-neg`
6×	`div-exp` `distribute-lft-out--` `add-log-exp`
4×	`associate-/r*` `prod-exp` `insert-posit16` `unswap-sqr`
2×	`pow-to-exp` `cbrt-undiv` `sqrt-pow1` `pow-prod-down` `pow-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow1/2` `associate-r/` `-commutative` `sqrt-prod` `pow-sub` `associate-/l/`

Counts

4 → 282

Calls

4 calls:

Slowest

3.1m	(* (+ (+ (+ (/ 771.3234287776531 (- (+ z 3) 1)) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (+ (/ -1259.1392167224028 (+ 2 (- z 1))) (+ (/ -176.6150291621406 (+ (- z 1) 4)) (/ 12.507343278686905 (+ (- z 1) 5)))))) (+ (/ -0.13857109526572012 (+ 6 (- z 1))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))) (/ 9.984369578019572e-06 (+ 7 (- z 1)))) (/ (pow (+ z 6.5) (- z 0.5)) (exp (+ z 6.5))))
77.0ms	(+ (/ -0.13857109526572012 (+ 6 (- z 1))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))
29.0ms	(/ (pow (+ z 6.5) (- z 0.5)) (exp (+ z 6.5)))
2.0ms	(sqrt (* PI 2))

series580.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

359.0ms	(* (+ (+ (+ (/ 771.3234287776531 (- (+ z 3) 1)) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (+ (/ -1259.1392167224028 (+ 2 (- z 1))) (+ (/ -176.6150291621406 (+ (- z 1) 4)) (/ 12.507343278686905 (+ (- z 1) 5)))))) (+ (/ -0.13857109526572012 (+ 6 (- z 1))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))) (/ 9.984369578019572e-06 (+ 7 (- z 1)))) (/ (pow (+ z 6.5) (- z 0.5)) (exp (+ z 6.5))))
169.0ms	(/ (pow (+ z 6.5) (- z 0.5)) (exp (+ z 6.5)))
53.0ms	(+ (/ -0.13857109526572012 (+ 6 (- z 1))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))
0.0ms	(sqrt (* PI 2))

simplify11.3s

Counts: 292 → 292

prune8.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize126.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
0.9b	(+ (/ -0.13857109526572012 (+ 6 (- z 1))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))
0.8b	(/ (* (+ (+ (+ (/ 771.3234287776531 (- (+ z 3) 1)) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (+ (/ -1259.1392167224028 (+ 2 (- z 1))) (+ (/ -176.6150291621406 (+ (- z 1) 4)) (/ 12.507343278686905 (+ (- z 1) 5)))))) (+ (/ -0.13857109526572012 (+ 6 (- z 1))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))) (/ 9.984369578019572e-06 (+ 7 (- z 1)))) (pow (+ z 6.5) (- z 0.5))) (exp (+ z 6.5)))
0.5b	(* (/ (* (+ (+ (+ (/ 771.3234287776531 (- (+ z 3) 1)) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (+ (/ -1259.1392167224028 (+ 2 (- z 1))) (+ (/ -176.6150291621406 (+ (- z 1) 4)) (/ 12.507343278686905 (+ (- z 1) 5)))))) (+ (/ -0.13857109526572012 (+ 6 (- z 1))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))) (/ 9.984369578019572e-06 (+ 7 (- z 1)))) (pow (+ z 6.5) (- z 0.5))) (exp (+ z 6.5))) (sqrt (* PI 2)))

rewrite2.2m

Algorithm: rewrite-expression-head