Details

sample153.0ms

Algorithm

intervals

Results

90.0ms

513×

body

valid

simplify13.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	201	29
3	580	29
4	1150	29
5	1744	29
6	2360	29
7	3087	29
8	3421	29
done	3421	29

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.5b	(* (* x 18.0) y)
3.3b	(* (* (* x 18.0) y) z)
3.4b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite390.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

29.0ms	(* (* j 27.0) k)
24.0ms	(* (* x 18.0) y)
65.0ms	(* (* (* x 18.0) y) z)
268.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* j 27.0) k)
29.0ms	(* (* x 18.0) y)
39.0ms	(* (* (* x 18.0) y) z)
158.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 2 (292.0ms)

Iter	Nodes	Cost
0	158	1015
1	402	980
2	1641	822
done	5001	822

prune530.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.3b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
3.3b	(* (* (* x 18.0) y) z)
3.4b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite384.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`cbrt-prod` `associate-r`
4×	`associate-l` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/3` `associate-r/` `-commutative`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
89.0ms	(* (* (* x 18.0) y) z)
291.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series173.0ms

Calls

2 calls:

48.0ms	(* (* (* x 18.0) y) z)
125.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))