Details

sample3.6s

Algorithm

intervals

Results

3.0s	144×	body	10240	exit
174.0ms	258×	body	80	valid
109.0ms	40×	body	1280	nan
93.0ms	49×	body	640	nan
29.0ms	22×	body	320	nan
9.0ms	11×	body	160	nan
5.0ms	10×	body	80	nan

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	60	123
1	148	123
2	609	121
3	4542	88
done	5001	88

prune75.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize193.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))))
1.0b	(+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 12.507343278686905 (+ 5.0 (- z))))
1.0b	(* (+ (+ (/ 1.5056327351493116e-07 (+ (- z) 8.0)) (/ 9.984369578019572e-06 (+ (- z) 7.0))) (+ (+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 12.507343278686905 (+ 5.0 (- z)))) (/ -176.6150291621406 (+ (- z) 4.0)))) (sqrt (* PI 2.0)))
1.0b	(sqrt (* PI 2.0))

rewrite6.0m

Algorithm

rewrite-expression-head

Rules

164×	`frac-add`
112×	`*-un-lft-identity`
84×	`distribute-lft-out`
39×	`flip3-+` `flip-+`
38×	`associate-*l/`
33×	`add-log-exp`
21×	`sum-log`
17×	`associate-l`
9×	`pow1`
8×	`add-sqr-sqrt`
6×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-r`
2×	`+-commutative` `sqrt-pow1` `pow-prod-down` `sqrt-prod`
1×	`associate-+l+` `associate-+r+` `pow1/2` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

384.0ms	(+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))))
10.1s	(+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 12.507343278686905 (+ 5.0 (- z))))
5.8m	(* (+ (+ (/ 1.5056327351493116e-07 (+ (- z) 8.0)) (/ 9.984369578019572e-06 (+ (- z) 7.0))) (+ (+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 12.507343278686905 (+ 5.0 (- z)))) (/ -176.6150291621406 (+ (- z) 4.0)))) (sqrt (* PI 2.0)))
6.0ms	(sqrt (* PI 2.0))

series524.0ms

Counts

4 → 10

Calls

4 calls:

84.0ms	(+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))))
140.0ms	(+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 12.507343278686905 (+ 5.0 (- z))))
300.0ms	(* (+ (+ (/ 1.5056327351493116e-07 (+ (- z) 8.0)) (/ 9.984369578019572e-06 (+ (- z) 7.0))) (+ (+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 12.507343278686905 (+ 5.0 (- z)))) (/ -176.6150291621406 (+ (- z) 4.0)))) (sqrt (* PI 2.0)))
0.0ms	(sqrt (* PI 2.0))

simplify697.0ms

Counts

142 → 142

Iterations

Useful iterations: done (677.0ms)

Iter	Nodes	Cost
0	536	15924
1	2045	13750
done	5001	13518

prune2.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize107.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))))
1.0b	(+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 12.507343278686905 (+ 5.0 (- z))))
1.0b	(* (+ (+ (/ 1.5056327351493116e-07 (+ (- z) 8.0)) (/ 9.984369578019572e-06 (+ (- z) 7.0))) (+ (+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 12.507343278686905 (+ 5.0 (- z)))) (/ -176.6150291621406 (+ (- z) 4.0)))) (* (sqrt PI) (sqrt 2.0)))
1.0b	(sqrt PI)

rewrite3.8m

Algorithm

rewrite-expression-head

Calls

1 calls:

1.0ms

(sqrt PI)