Details

sample1.6s

Algorithm

intervals

Results

851.0ms	107×	body	10240	exit
238.0ms	84×	body	1280	valid
170.0ms	92×	body	640	valid
117.0ms	43×	body	1280	nan
62.0ms	39×	body	640	nan
55.0ms	42×	body	320	valid
26.0ms	22×	body	320	nan
26.0ms	29×	body	160	valid
11.0ms	12×	body	160	nan
6.0ms	14×	body	80	nan
3.0ms	10×	body	80	valid

simplify231.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

230.0ms

(* (* (* (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))))

prune60.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize169.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.9s

Algorithm

rewrite-expression-head

Rules

2772×	`frac-add`
810×	`flip3-+` `flip-+`
723×	`frac-times`
486×	`associate-*l/`
249×	`associate-*r/`
246×	`exp-neg`
245×	`pow-sub`
243×	`neg-sub0` `exp-diff`
139×	`*-un-lft-identity`
105×	`distribute-lft-out`
38×	`associate-l`
30×	`add-exp-log`
22×	`prod-exp`
20×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
14×	`pow1`
10×	`cbrt-unprod`
9×	`associate-r` `add-cube-cbrt`
6×	`unpow-prod-down`
5×	`pow-prod-down`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `unpow-prod-up` `pow-exp` `un-div-inv` `*-commutative`
2×	`sqrt-pow1` `sqrt-prod` `sqr-pow`
1×	`distribute-neg-in` `sub-neg` `pow1/2` `exp-sum` `distribute-lft-out--` `associate--r-`

Counts

4 → 842

Calls

4 calls:

Slowest

26.8s	(* (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))) (+ (+ (/ 771.3234287776531 (+ z 2)) (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1))))) (/ -176.6150291621406 (+ z 3))))) (exp (- (+ (- z -6) 0.5))))
19.9s	(* (* (pow (+ (- z -6) 0.5) (- z (- 1 0.5))) (sqrt (* PI 2))) (* (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))) (+ (+ (/ 771.3234287776531 (+ z 2)) (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1))))) (/ -176.6150291621406 (+ z 3))))) (exp (- (+ (- z -6) 0.5)))))
136.0ms	(* (pow (+ (- z -6) 0.5) (- z (- 1 0.5))) (sqrt (* PI 2)))
3.0ms	(sqrt (* PI 2))

series1.4s

Counts

4 → 10

Calls

4 calls:

Slowest

809.0ms	(* (* (pow (+ (- z -6) 0.5) (- z (- 1 0.5))) (sqrt (* PI 2))) (* (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))) (+ (+ (/ 771.3234287776531 (+ z 2)) (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1))))) (/ -176.6150291621406 (+ z 3))))) (exp (- (+ (- z -6) 0.5)))))
378.0ms	(* (pow (+ (- z -6) 0.5) (- z (- 1 0.5))) (sqrt (* PI 2)))
205.0ms	(* (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))) (+ (+ (/ 771.3234287776531 (+ z 2)) (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1))))) (/ -176.6150291621406 (+ z 3))))) (exp (- (+ (- z -6) 0.5))))
0.0ms	(sqrt (* PI 2))