Details

Time bar (total: 10.0m)

sample955.0ms

Algorithm
intervals
Results
368.0ms108×body10240exit
206.0ms102×body1280valid
121.0ms81×body640valid
68.0ms49×body1280nan
35.0ms41×body320valid
31.0ms35×body640nan
21.0ms27×body320nan
12.0ms24×body160valid
4.0msbody160nan
3.0ms11×body80valid
2.0msbody80nan

simplify3.4s

Counts
1 → 1
Iterations
IterNodes
done5032
32323
2422
1140
055

prune45.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize204.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
0.4b
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))))
1.0b
(/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6))))
1.0b
(sqrt (* PI 2))

rewrite50.2s

Algorithm
rewrite-expression-head
Rules
1848×frac-add
510×flip3-+ flip-+
371×frac-times
223×associate-*r/
180×*-un-lft-identity
152×associate-*l/
150×pow-sub
111×distribute-lft-out
55×associate-*r*
49×add-sqr-sqrt
35×add-cube-cbrt
33×times-frac
30×add-exp-log
22×associate-*l*
21×unpow-prod-up
20×add-cbrt-cube
18×prod-diff
17×prod-exp
10×sqrt-prod
pow1 exp-sum
cbrt-unprod
difference-of-squares
unpow-prod-down div-exp
expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u associate-/l* distribute-lft-out-- add-log-exp
pow-to-exp cbrt-undiv pow-exp
associate-+r- sqrt-pow1 exp-diff pow-prod-down associate-/r/ *-commutative div-inv unswap-sqr
distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in pow1/2 associate--r- sqr-pow
Counts
4 → 622
Calls
4 calls:
24.0s
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
26.1s
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))))
81.0ms
(/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6))))
8.0ms
(sqrt (* PI 2))

series1.4s

Counts
4 → 10
Calls
4 calls:
365.0ms
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
899.0ms
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))))
125.0ms
(/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6))))
0.0ms
(sqrt (* PI 2))

simplify10.0s

Counts
632 → 632
Iterations
IterNodes
done5001
01809

prune17.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize192.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
0.4b
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))))
0.4b
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))))
1.0b
(sqrt (* PI 2))

rewrite1.7m

Algorithm
rewrite-expression-head
Rules
2156×frac-add
741×associate-*r/
595×flip3-+ flip-+
371×frac-times
171×*-un-lft-identity
152×associate-*l/
150×pow-sub
111×distribute-lft-out
56×associate-*r*
50×add-exp-log
40×prod-exp
37×add-sqr-sqrt
36×add-cbrt-cube
26×add-cube-cbrt
24×associate-*l*
21×unpow-prod-up
18×prod-diff cbrt-unprod
16×times-frac
14×pow1
div-exp
difference-of-squares
distribute-rgt-in pow-to-exp unpow-prod-down distribute-lft-in pow-prod-down pow-exp sqrt-prod
expm1-log1p-u cbrt-undiv exp-sum insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp
*-commutative
sqrt-pow1
sub-neg pow1/2 div-inv associate--r- unswap-sqr sqr-pow
Counts
4 → 689
Calls
4 calls:
17.7s
(* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
1.1m
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))))
18.0s
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))))
8.0ms
(sqrt (* PI 2))

series1.2s

Counts
4 → 10
Calls
4 calls:
167.0ms
(* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
747.0ms
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))))
335.0ms
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))))
0.0ms
(sqrt (* PI 2))

simplify6.6s

Counts
699 → 699
Iterations
IterNodes
done5001
01906

prune13.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize119.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
0.4b
(/ (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))) (pow (+ 0.5 (- z -6)) z)) (pow (+ 0.5 (- z -6)) (- 1 0.5)))
0.4b
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))))
1.0b
(sqrt (* PI 2))

rewrite1.2m

Algorithm
rewrite-expression-head
Rules
1540×frac-add
518×associate-*r/
425×flip3-+ flip-+
172×*-un-lft-identity
159×add-exp-log
151×associate-*l/
149×associate-/l/
148×frac-times
113×distribute-lft-out
106×prod-exp
68×div-exp
43×add-cbrt-cube
36×times-frac
33×add-sqr-sqrt
31×pow-to-exp pow-exp add-cube-cbrt
26×associate-*r*
23×associate-*l*
22×unpow-prod-up
20×associate-/r*
18×prod-diff cbrt-unprod
14×pow1
10×cbrt-undiv unpow-prod-down
distribute-rgt-in distribute-lft-in pow-prod-down sqrt-prod
expm1-log1p-u exp-sum insert-posit16 log1p-expm1-u add-log-exp
sub-neg sqrt-pow1 *-commutative div-inv distribute-lft-out-- sqr-pow
clear-num frac-2neg pow1/2 associate-/r/ associate-/l* pow-sub unswap-sqr
Counts
4 → 586
Calls
4 calls:
15.3s
(* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
44.3s
(/ (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))) (pow (+ 0.5 (- z -6)) z)) (pow (+ 0.5 (- z -6)) (- 1 0.5)))
12.0s
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))))
4.0ms
(sqrt (* PI 2))

series1.4s

Counts
4 → 10
Calls
4 calls:
171.0ms
(* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
899.0ms
(/ (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))) (pow (+ 0.5 (- z -6)) z)) (pow (+ 0.5 (- z -6)) (- 1 0.5)))
332.0ms
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))))
0.0ms
(sqrt (* PI 2))

simplify6.1s

Counts
596 → 596
Iterations
IterNodes
done5001
01680

prune11.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize137.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))) (pow (+ 0.5 (- z -6)) z)) (pow (* (cbrt (+ 0.5 (- z -6))) (cbrt (+ 0.5 (- z -6)))) (- 1 0.5)))
0.3b
(* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
0.4b
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))))
1.0b
(sqrt (* PI 2))

rewrite1.2m

Algorithm
rewrite-expression-head
Rules
1540×frac-add
518×associate-*r/
425×flip3-+ flip-+
229×add-exp-log
160×*-un-lft-identity
155×prod-exp
151×associate-*l/
149×associate-/l/
148×frac-times
109×distribute-lft-out
90×div-exp
52×pow-exp
43×add-cbrt-cube
36×pow-to-exp
32×times-frac
31×add-sqr-sqrt
29×add-cube-cbrt
26×associate-*r*
23×associate-*l*
22×unpow-prod-up
18×prod-diff cbrt-unprod
16×associate-/r*
14×pow1
10×cbrt-undiv
distribute-rgt-in distribute-lft-in pow-prod-down sqrt-prod
expm1-log1p-u exp-sum insert-posit16 log1p-expm1-u add-log-exp
sub-neg unpow-prod-down sqrt-pow1 *-commutative div-inv sqr-pow
clear-num frac-2neg pow1/2 associate-/r/ associate-/l* pow-sub unswap-sqr
Counts
4 → 594
Calls
4 calls:
42.7s
(/ (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))) (pow (+ 0.5 (- z -6)) z)) (pow (* (cbrt (+ 0.5 (- z -6))) (cbrt (+ 0.5 (- z -6)))) (- 1 0.5)))
15.4s
(* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
12.0s
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))))
4.0ms
(sqrt (* PI 2))

series1.6m

Calls
3 calls:
156.0ms
(* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
318.0ms
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (* (exp -6) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))))
0.0ms
(sqrt (* PI 2))

end2.2m