Details

sample20.0ms

Algorithm

intervals

Results

5.0ms	244×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify97.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	58	9
3	137	9
4	195	9
5	200	9
done	200	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0b	(+ (+ x y) y)
0.0b	(+ (+ (+ x y) y) x)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity` `add-log-exp`
24×	`sum-log` `distribute-lft-out`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

3 → 53

Calls

3 calls:

1.0s	(+ (+ (+ (+ (+ x y) y) x) z) x)
13.0ms	(+ (+ x y) y)
62.0ms	(+ (+ (+ x y) y) x)

series79.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
24.0ms	(+ (+ x y) y)
33.0ms	(+ (+ (+ x y) y) x)

simplify1.4s

Counts

62 → 62

Iterations

Useful iterations: 3 (318.0ms)

Iter	Nodes	Cost
0	88	720
1	250	674
2	802	552
3	4241	528
done	5000	528

prune108.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

6.0ms

(+ (* 3 x) (+ z (* 2 y)))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ (* 3 x) (+ z (* 2 y)))

simplify563.0ms

Counts

16 → 16

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	34	225
1	114	212
2	379	194
3	1434	194
done	5001	194

prune37.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
0.5b	(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.5b	(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.5b	(cbrt (+ (* 3 x) (+ z (* 2 y))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

45.0ms	(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
5.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
5.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
5.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

316.0ms	(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
257.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
254.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
249.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))

simplify937.0ms

Counts

99 → 99

Iterations

Useful iterations: 3 (294.0ms)

Iter	Nodes	Cost
0	136	2456
1	306	2265
2	837	2106
3	2267	1892
done	5001	1892

prune279.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))
0.0b	(sqrt (+ (* 3 x) (+ z (* 2 y))))
0.0b	(sqrt (+ (* 3 x) (+ z (* 2 y))))
0.3b	(* (sqrt (+ (* 3 x) (+ z (* 2 y)))) (sqrt (+ (* 3 x) (+ z (* 2 y)))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+r+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

6.0ms	(+ (* 3 x) (+ z (* 2 y)))
10.0ms	(sqrt (+ (* 3 x) (+ z (* 2 y))))
10.0ms	(sqrt (+ (* 3 x) (+ z (* 2 y))))
47.0ms	(* (sqrt (+ (* 3 x) (+ z (* 2 y)))) (sqrt (+ (* 3 x) (+ z (* 2 y)))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (* 3 x) (+ z (* 2 y)))
85.0ms	(sqrt (+ (* 3 x) (+ z (* 2 y))))
86.0ms	(sqrt (+ (* 3 x) (+ z (* 2 y))))
60.0ms	(* (sqrt (+ (* 3 x) (+ z (* 2 y)))) (sqrt (+ (* 3 x) (+ z (* 2 y)))))

simplify309.0ms

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	126	2540
1	295	1803
2	926	1665