Details

sample2.3s

Algorithm

intervals

Results

1.9s	118×	body	10240	exit
89.0ms	256×	body	80	valid
84.0ms	42×	body	1280	nan
69.0ms	21×	body	320	nan
48.0ms	35×	body	640	nan
3.0ms	10×	body	80	nan
3.0ms	4×	body	160	nan

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (1.3s)

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

prune77.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize103.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (pow (+ 0.5 (+ (- z) 7.0)) (+ (- z) 0.5)) (exp (+ 0.5 (+ (- z) 7.0))))
1.0b	(+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 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))

rewrite5.2m

Algorithm

rewrite-expression-head

Rules

154×	`*-un-lft-identity`
144×	`frac-add`
94×	`distribute-lft-out`
44×	`times-frac`
38×	`associate-*l/`
34×	`flip3-+` `flip-+`
30×	`add-sqr-sqrt` `unpow-prod-down`
28×	`add-cube-cbrt`
17×	`associate-l`
13×	`add-log-exp`
12×	`exp-sum`
11×	`associate-/l*`
9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sum-log`
5×	`unpow-prod-up` `distribute-rgt-neg-in` `sqr-pow`
4×	`associate-r` `associate-/r*`
3×	`div-exp`
2×	`neg-sub0` `associate-+l-` `sqrt-pow1` `pow-prod-down` `sqrt-prod`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `associate-+r-` `associate-+r+` `frac-2neg` `pow1/2` `exp-diff` `pow-exp` `prod-exp` `clear-num` `associate-/r/` `*-commutative` `cbrt-unprod` `div-inv` `associate-/l/` `pow-sub` `unswap-sqr`

Counts

4 → 178

Calls

4 calls:

277.0ms	(/ (pow (+ 0.5 (+ (- z) 7.0)) (+ (- z) 0.5)) (exp (+ 0.5 (+ (- z) 7.0))))
384.0ms	(+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))))
5.2m	(* (+ (+ (/ 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)))
7.0ms	(sqrt (* PI 2.0))

series509.0ms

Counts

4 → 10

Calls

4 calls:

155.0ms	(/ (pow (+ 0.5 (+ (- z) 7.0)) (+ (- z) 0.5)) (exp (+ 0.5 (+ (- z) 7.0))))
77.0ms	(+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))))
277.0ms	(* (+ (+ (/ 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))

simplify700.0ms

Counts

188 → 188

Iterations

Useful iterations: done (681.0ms)

Iter	Nodes	Cost
0	657	15911
1	2300	14064
done	5000	13775

prune2.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize111.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.6m

Algorithm

rewrite-expression-head

Calls

1 calls:

4.0ms

(sqrt (* PI 2.0))