Details

sample2.5s

Algorithm

intervals

Results

2.0s	115×	body	10240	exit
183.0ms	257×	body	80	valid
101.0ms	54×	body	1280	nan
47.0ms	33×	body	640	nan
17.0ms	18×	body	320	nan
6.0ms	8×	body	160	nan
3.0ms	8×	body	80	nan

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (991.0ms)

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

prune57.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize139.0ms

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	(+ (/ 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))

rewrite5.4m

Algorithm

rewrite-expression-head

Rules

146×	`frac-add`
97×	`*-un-lft-identity`
72×	`distribute-lft-out`
38×	`associate-*l/`
36×	`flip3-+` `flip-+`
18×	`add-log-exp`
17×	`associate-l`
9×	`pow1` `sum-log`
8×	`add-sqr-sqrt`
6×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-r`
2×	`+-commutative` `associate-+r+` `sqrt-pow1` `pow-prod-down` `sqrt-prod`
1×	`pow1/2` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

372.0ms	(+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))))
118.0ms	(+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))
5.4m	(* (+ (+ (/ 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)))
4.0ms	(sqrt (* PI 2.0))

series408.0ms

Counts

4 → 10

Calls

4 calls:

78.0ms	(+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))))
52.0ms	(+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))
278.0ms	(* (+ (+ (/ 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))

simplify618.0ms

Counts

130 → 130

Iterations

Useful iterations: done (602.0ms)

Iter	Nodes	Cost
0	519	13907
1	2002	12109
done	5001	11877

prune2.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize94.0ms

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	(+ (/ 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) (sqrt 2.0)))
1.0b	(sqrt PI)

rewrite4.2m

Algorithm

rewrite-expression-head

Rules

146×	`frac-add`
97×	`*-un-lft-identity`
72×	`distribute-lft-out`
38×	`associate-*l/`
36×	`flip3-+` `flip-+`
18×	`add-log-exp`
17×	`associate-l`
10×	`pow1`
9×	`add-exp-log` `sum-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
3×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
2×	`+-commutative` `associate-+r+`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r` `*-commutative`

Counts

4 → 121

Calls

4 calls:

364.0ms	(+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))))
116.0ms	(+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))
4.2m	(* (+ (+ (/ 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) (sqrt 2.0)))
1.0ms	(sqrt PI)

series395.0ms

Counts

4 → 10

Calls

4 calls:

76.0ms	(+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))))
48.0ms	(+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))
271.0ms	(* (+ (+ (/ 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) (sqrt 2.0)))
0.0ms	(sqrt PI)

simplify614.0ms

Counts

131 → 131

Iterations

Useful iterations: done (595.0ms)

Iter	Nodes	Cost
0	518	13886
1	2074	12080
done	5002	11746

prune2.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize192.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ 771.3234287776531 (- 3.0 z)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))
1.0b	(* (+ (* (/ 1.5056327351493116e-07 (+ (- z) 8.0)) (/ 1.5056327351493116e-07 (+ (- z) 8.0))) (- (* (/ 9.984369578019572e-06 (+ (- z) 7.0)) (/ 9.984369578019572e-06 (+ (- z) 7.0))) (* (/ 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))))
1.0b	(+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))
1.0b	(sqrt PI)

rewrite11.8s

Algorithm

rewrite-expression-head

Calls

2 calls:

115.0ms	(+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))
1.0ms	(sqrt PI)