Details

sample1.8s

Algorithm

intervals

Results

473.0ms	20×	body	160	valid
416.0ms	107×	body	10240	exit
303.0ms	111×	body	1280	valid
141.0ms	83×	body	640	valid
141.0ms	51×	body	1280	nan
84.0ms	36×	body	320	valid
68.0ms	42×	body	640	nan
23.0ms	19×	body	320	nan
6.0ms	10×	body	160	nan
4.0ms	9×	body	80	valid
3.0ms	7×	body	80	nan

simplify204.0ms

Calls

1 calls:

Slowest

204.0ms

(* (* (* (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))))

prune61.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize165.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

3028×	`frac-add`
1107×	`flip3-+` `flip-+`
898×	`frac-times`
641×	`associate-*r/`
393×	`associate-*l/`
388×	`associate-+l-` `pow-sub`
258×	`neg-sub0` `exp-neg` `exp-diff`
20×	`add-exp-log`
15×	`add-cbrt-cube` `prod-exp`
14×	`*-un-lft-identity`
11×	`associate-l`
9×	`add-sqr-sqrt` `pow1` `add-cube-cbrt` `add-log-exp`
7×	`cbrt-unprod`
6×	`fma-def`
5×	`associate-r`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `unpow-prod-down` `pow-prod-down` `distribute-lft-out`
2×	`pow-to-exp` `pow-exp` `associate-/r/` `*-commutative` `sqrt-prod`
1×	`unpow-prod-up` `+-commutative` `associate-+r+` `distribute-neg-in` `pow1/2` `exp-sum` `div-inv`

Calls

4 calls:

Slowest

1.9s	(* (exp (- (+ (- z -6) 0.5))) (* (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ z 1))) (+ 0.9999999999998099 (/ 676.5203681218851 z))) (+ (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))))))
36.0ms	(+ (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))
32.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0ms	(sqrt (* PI 2))

series481.0ms

Calls

4 calls:

Slowest

289.0ms	(* (exp (- (+ (- z -6) 0.5))) (* (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ z 1))) (+ 0.9999999999998099 (/ 676.5203681218851 z))) (+ (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))))))
147.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
45.0ms	(+ (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))
0.0ms	(sqrt (* PI 2))

simplify8.8m

Calls

1346 calls:

Slowest

2.1s	(* 1 (* (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (+ (pow (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ z 1))) (+ 0.9999999999998099 (/ 676.5203681218851 z))) (+ (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))) 3) (pow (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))) 3))))
1.5s	(* 1 (* (* (pow (+ (- z -6) 0.5) z) (sqrt (* PI 2))) (+ (pow (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ z 1))) (+ 0.9999999999998099 (/ 676.5203681218851 z))) (+ (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))) 3) (pow (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))) 3))))
1.4s	(* 1 (* (* (pow (+ (- z -6) 0.5) z) (sqrt (* PI 2))) (+ (* (+ (* (+ (* (- (* (/ 771.3234287776531 (+ z 2)) (/ 771.3234287776531 (+ z 2))) (* (/ -1259.1392167224028 (+ z 1)) (/ -1259.1392167224028 (+ z 1)))) (+ (* 0.9999999999998099 0.9999999999998099) (- (* (/ 676.5203681218851 z) (/ 676.5203681218851 z)) (* 0.9999999999998099 (/ 676.5203681218851 z))))) (* (- (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ z 1))) (+ (pow 0.9999999999998099 3) (pow (/ 676.5203681218851 z) 3)))) (* (+ z 3) (+ (* (/ -0.13857109526572012 (- z -5)) (/ -0.13857109526572012 (- z -5))) (- (* (/ 12.507343278686905 (+ z 4)) (/ 12.507343278686905 (+ z 4))) (* (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))))) (* (* (- (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ z 1))) (+ (* 0.9999999999998099 0.9999999999998099) (- (* (/ 676.5203681218851 z) (/ 676.5203681218851 z)) (* 0.9999999999998099 (/ 676.5203681218851 z))))) (+ (* -176.6150291621406 (+ (* (/ -0.13857109526572012 (- z -5)) (/ -0.13857109526572012 (- z -5))) (- (* (/ 12.507343278686905 (+ z 4)) (/ 12.507343278686905 (+ z 4))) (* (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4)))))) (* (+ z 3) (+ (pow (/ -0.13857109526572012 (- z -5)) 3) (pow (/ 12.507343278686905 (+ z 4)) 3)))))) (+ (* (/ 9.984369578019572e-06 (- z -6)) (/ 9.984369578019572e-06 (- z -6))) (- (* (/ 1.5056327351493116e-07 (+ z 7)) (/ 1.5056327351493116e-07 (+ z 7))) (* (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7)))))) (* (* (* (- (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ z 1))) (+ (* 0.9999999999998099 0.9999999999998099) (- (* (/ 676.5203681218851 z) (/ 676.5203681218851 z)) (* 0.9999999999998099 (/ 676.5203681218851 z))))) (* (+ z 3) (+ (* (/ -0.13857109526572012 (- z -5)) (/ -0.13857109526572012 (- z -5))) (- (* (/ 12.507343278686905 (+ z 4)) (/ 12.507343278686905 (+ z 4))) (* (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))))) (+ (pow (/ 9.984369578019572e-06 (- z -6)) 3) (pow (/ 1.5056327351493116e-07 (+ z 7)) 3))))))
1.4s	(* (exp (+ (- z -6) 0.5)) (* (* (* (* (+ z 2) (+ z 1)) (+ (* 0.9999999999998099 0.9999999999998099) (- (* (/ 676.5203681218851 z) (/ 676.5203681218851 z)) (* 0.9999999999998099 (/ 676.5203681218851 z))))) (- (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))) (- (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7)))))
1.4s	(* (exp (+ (- z -6) 0.5)) (* (pow (+ (- z -6) 0.5) (- 1 0.5)) (* (* (* (* (+ z 2) (+ z 1)) (- 0.9999999999998099 (/ 676.5203681218851 z))) (* (+ z 3) (- (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))) (* (- z -6) (+ z 7)))))

prune37.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize118.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* (log 6.5) (log 6.5)) (exp (- 6.5)))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(sqrt PI)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube`
7×	`add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/2` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`exp-neg` `associate-*r/`
1×	`neg-sub0` `exp-diff` `associate-l` `un-div-inv` `*-commutative`

Calls

4 calls:

Slowest

18.0ms	(* (* (log 6.5) (log 6.5)) (exp (- 6.5)))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)

series0.0ms

Calls

4 calls:

Slowest

0.0ms	(* (* (log 6.5) (log 6.5)) (exp (- 6.5)))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)

simplify1.1s

Calls

17 calls:

Slowest

180.0ms	(* (* (* (* (log 6.5) (log 6.5)) (* (log 6.5) (log 6.5))) (* (log 6.5) (log 6.5))) (* (* (exp (- 6.5)) (exp (- 6.5))) (exp (- 6.5))))
176.0ms	(* (* (* (* (log 6.5) (log 6.5)) (log 6.5)) (* (* (log 6.5) (log 6.5)) (log 6.5))) (* (* (exp (- 6.5)) (exp (- 6.5))) (exp (- 6.5))))
139.0ms	(fma 169.13009203047127 (* (pow (/ 1 (pow 6.5 5.0)) 0.5) (* (sqrt PI) (* (* (sqrt 2) z) (exp (- 6.5))))) (- (fma (* (* (* z (* (* (log 6.5) (log 6.5)) (exp (- 6.5)))) (* (sqrt 2) (sqrt PI))) (pow (/ 1 (pow 6.5 1.0)) 0.5)) 338.26018406094255 (fma 2581.191799681222 (* (* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI)) (* (* (sqrt 2) z) (exp (- 6.5)))) (* (* (* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI)) (+ (/ (exp (- 6.5)) (/ z (sqrt 2))) (* (log 6.5) (* (exp (- 6.5)) (sqrt 2))))) 676.5203681218851))) (* (* (sqrt PI) (+ (* (* (exp (- 6.5)) (sqrt 2)) (pow (/ 1 (pow 6.5 1.0)) 0.5)) (* (* (* (* (sqrt 2) z) (exp (- 6.5))) (log 6.5)) (pow (/ 1 (pow 6.5 1.0)) 0.5)))) 1656.8104518737207)))
139.0ms	(fma 169.13009203047127 (* (pow (/ 1 (pow 6.5 5.0)) 0.5) (* (sqrt PI) (* (* (sqrt 2) z) (exp (- 6.5))))) (- (fma (* (* (* z (* (* (log 6.5) (log 6.5)) (exp (- 6.5)))) (* (sqrt 2) (sqrt PI))) (pow (/ 1 (pow 6.5 1.0)) 0.5)) 338.26018406094255 (fma 2581.191799681222 (* (* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI)) (* (* (sqrt 2) z) (exp (- 6.5)))) (* (* (* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI)) (+ (/ (exp (- 6.5)) (/ z (sqrt 2))) (* (log 6.5) (* (exp (- 6.5)) (sqrt 2))))) 676.5203681218851))) (* (* (sqrt PI) (+ (* (* (exp (- 6.5)) (sqrt 2)) (pow (/ 1 (pow 6.5 1.0)) 0.5)) (* (* (* (* (sqrt 2) z) (exp (- 6.5))) (log 6.5)) (pow (/ 1 (pow 6.5 1.0)) 0.5)))) 1656.8104518737207)))
138.0ms	(fma 169.13009203047127 (* (pow (/ 1 (pow 6.5 5.0)) 0.5) (* (sqrt PI) (* (* (sqrt 2) z) (exp (- 6.5))))) (- (fma (* (* (* z (* (* (log 6.5) (log 6.5)) (exp (- 6.5)))) (* (sqrt 2) (sqrt PI))) (pow (/ 1 (pow 6.5 1.0)) 0.5)) 338.26018406094255 (fma 2581.191799681222 (* (* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI)) (* (* (sqrt 2) z) (exp (- 6.5)))) (* (* (* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI)) (+ (/ (exp (- 6.5)) (/ z (sqrt 2))) (* (log 6.5) (* (exp (- 6.5)) (sqrt 2))))) 676.5203681218851))) (* (* (sqrt PI) (+ (* (* (exp (- 6.5)) (sqrt 2)) (pow (/ 1 (pow 6.5 1.0)) 0.5)) (* (* (* (* (sqrt 2) z) (exp (- 6.5))) (log 6.5)) (pow (/ 1 (pow 6.5 1.0)) 0.5)))) 1656.8104518737207)))

prune1.8s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

3028×	`frac-add`
1107×	`flip3-+` `flip-+`
898×	`frac-times`
651×	`associate-*l/`
388×	`associate-+l-` `pow-sub`
258×	`neg-sub0` `exp-neg` `exp-diff`
257×	`associate-*r/`
118×	`*-un-lft-identity`
87×	`distribute-lft-out`
27×	`associate-r`
21×	`add-exp-log`
15×	`add-cbrt-cube` `prod-exp`
9×	`add-sqr-sqrt` `pow1` `add-cube-cbrt` `add-log-exp`
8×	`associate-l`
7×	`cbrt-unprod`
6×	`fma-def`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `unpow-prod-down` `pow-prod-down`
2×	`pow-to-exp` `pow-exp` `associate-/r/` `*-commutative` `sqrt-prod`
1×	`distribute-rgt-in` `unpow-prod-up` `+-commutative` `associate-+r+` `distribute-lft-in` `pow1/2` `div-inv`

Calls

4 calls:

Slowest

1.2s	(* (* (exp (- (+ (- z -6) 0.5))) (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ z 1))) (+ 0.9999999999998099 (/ 676.5203681218851 z))) (+ (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7)))))
19.0ms	(+ (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))
16.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0ms	(sqrt (* PI 2))

series354.0ms

Calls

4 calls:

Slowest

214.0ms	(* (* (exp (- (+ (- z -6) 0.5))) (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ z 1))) (+ 0.9999999999998099 (/ 676.5203681218851 z))) (+ (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7)))))
110.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
30.0ms	(+ (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))
0.0ms	(sqrt (* PI 2))