Details

sample1.5s

Algorithm

intervals

Results

510.0ms	136×	body	10240	exit
329.0ms	105×	body	1280	valid
198.0ms	79×	body	640	valid
154.0ms	52×	body	1280	nan
120.0ms	47×	body	640	nan
59.0ms	40×	body	320	valid
24.0ms	18×	body	320	nan
22.0ms	24×	body	160	valid
13.0ms	15×	body	160	nan
5.0ms	12×	body	80	valid
4.0ms	9×	body	80	nan

simplify308.0ms

Calls

1 calls:

Slowest

308.0ms

(* (* (* (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))))

prune86.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize126.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (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	(+ (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))
1.0b	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))

rewrite1.9s

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

1.7s	(* (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))))))
35.0ms	(+ (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))
30.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0ms	(sqrt (* PI 2))

series513.0ms

Calls

4 calls:

Slowest

321.0ms	(* (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))))))
141.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
51.0ms	(+ (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))
0.0ms	(sqrt (* PI 2))

simplify8.7m

Calls

1346 calls:

Slowest

2.4s	(* 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))))
1.7s	(* 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	(* (exp (+ (- z -6) 0.5)) (* (* (* (+ (* (/ 771.3234287776531 (+ z 2)) (/ 771.3234287776531 (+ z 2))) (- (* (/ -1259.1392167224028 (+ z 1)) (/ -1259.1392167224028 (+ z 1))) (* (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ z 1))))) (- 0.9999999999998099 (/ 676.5203681218851 z))) (* (+ z 3) (* (- z -5) (+ z 4)))) (- (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7)))))
1.4s	(* (exp (+ (- z -6) 0.5)) (* (* (* (* (+ z 2) (+ z 1)) (- 0.9999999999998099 (/ 676.5203681218851 z))) (* (+ z 3) (* (- z -5) (+ 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)))))

prune38.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.1b	(/ (* (exp 0) (* (* (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)))))) (exp (+ (- z -6) 0.5)))
1.0b	(sqrt (* PI 2))
1.0b	(+ (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))
1.0b	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

1012×	`frac-add`
385×	`associate-*r/`
371×	`flip3-+` `flip-+`
257×	`associate-/l/`
131×	`associate-*l/` `associate-+l-`
130×	`pow-sub`
128×	`frac-times`
21×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`*-un-lft-identity` `prod-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-log-exp`
7×	`associate-l` `cbrt-unprod`
6×	`fma-def` `div-exp`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `associate-/r` `times-frac` `associate-r*` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `unpow-prod-down` `associate-/r/` `distribute-lft-out`
2×	`pow-to-exp` `exp-sum` `pow-exp` `sqrt-prod` `div-inv`
1×	`unpow-prod-up` `+-commutative` `associate-+r+` `clear-num` `frac-2neg` `pow1/2` `exp-diff` `-commutative` `associate-/l`

Calls

4 calls:

Slowest

1.3s	(/ (* (exp 0) (* (* (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)))))) (exp (+ (- z -6) 0.5)))
16.0ms	(+ (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))
15.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0ms	(sqrt (* PI 2))

series348.0ms

Calls

4 calls:

Slowest

212.0ms	(/ (* (exp 0) (* (* (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)))))) (exp (+ (- z -6) 0.5)))
107.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
28.0ms	(+ (/ -176.6150291621406 (+ z 3)) (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))))
0.0ms	(sqrt (* PI 2))