Details

sample1.8s

Algorithm

intervals

Results

546.0ms	51×	body	1280	nan
502.0ms	122×	body	10240	exit
315.0ms	106×	body	1280	valid
169.0ms	82×	body	640	valid
82.0ms	47×	body	640	nan
44.0ms	37×	body	320	valid
28.0ms	20×	body	320	nan
18.0ms	23×	body	160	valid
6.0ms	8×	body	160	nan
5.0ms	12×	body	80	valid
4.0ms	11×	body	80	nan

simplify230.0ms

Calls

1 calls:

Slowest

229.0ms

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

prune83.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize148.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (exp (- (- (+ 0.5 z) -6))) (* (* (pow (- (+ 0.5 z) -6) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (+ (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (+ z 4))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ z 1))) (+ 0.9999999999998099 (/ 676.5203681218851 z))) (/ -176.6150291621406 (+ z 3)))) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))))))
1.0b	(sqrt (* PI 2))
1.0b	(* (pow (- (+ 0.5 z) -6) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.3b	(* (* (pow (- (+ 0.5 z) -6) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (+ (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (+ z 4))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ z 1))) (+ 0.9999999999998099 (/ 676.5203681218851 z))) (/ -176.6150291621406 (+ z 3)))) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7)))))

rewrite6.5s

Algorithm

rewrite-expression-head

Rules

3136×	`frac-add`
1032×	`flip3-+` `flip-+`
786×	`frac-times`
589×	`associate-*r/`
403×	`associate-*l/`
397×	`associate-+l-` `pow-sub`
198×	`neg-sub0` `exp-neg` `exp-diff`
102×	`*-un-lft-identity`
75×	`distribute-lft-out`
30×	`add-exp-log`
26×	`associate-r`
22×	`prod-exp`
20×	`add-cbrt-cube`
14×	`associate-l`
11×	`pow1`
10×	`cbrt-unprod`
9×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow-prod-down` `insert-posit16` `add-log-exp`
3×	`pow-to-exp` `distribute-neg-in` `unpow-prod-down` `exp-sum` `pow-exp` `*-commutative`
2×	`sqrt-prod`
1×	`unpow-prod-up` `sub-neg` `pow1/2` `associate--l+`

Calls

4 calls:

Slowest

3.3s	(* (exp (- (- (+ 0.5 z) -6))) (* (* (pow (- (+ 0.5 z) -6) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (+ (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (+ z 4))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ z 1))) (+ 0.9999999999998099 (/ 676.5203681218851 z))) (/ -176.6150291621406 (+ z 3)))) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))))))
3.1s	(* (* (pow (- (+ 0.5 z) -6) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (+ (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (+ z 4))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ z 1))) (+ 0.9999999999998099 (/ 676.5203681218851 z))) (/ -176.6150291621406 (+ z 3)))) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7)))))
28.0ms	(* (pow (- (+ 0.5 z) -6) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0ms	(sqrt (* PI 2))

series664.0ms

Calls

4 calls:

Slowest

280.0ms	(* (exp (- (- (+ 0.5 z) -6))) (* (* (pow (- (+ 0.5 z) -6) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (+ (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (+ z 4))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ z 1))) (+ 0.9999999999998099 (/ 676.5203681218851 z))) (/ -176.6150291621406 (+ z 3)))) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))))))
227.0ms	(* (* (pow (- (+ 0.5 z) -6) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (+ (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (+ z 4))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ z 1))) (+ 0.9999999999998099 (/ 676.5203681218851 z))) (/ -176.6150291621406 (+ z 3)))) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7)))))
156.0ms	(* (pow (- (+ 0.5 z) -6) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))