Details

sample79.0ms

Algorithm

intervals

Results

19.0ms

328×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	31	7
4	42	7
5	49	7
6	58	7
7	76	7
8	96	7
9	118	7
10	134	7
11	148	7
12	156	7
13	170	7
14	185	7
15	200	7
16	262	7
17	299	7
18	382	7
19	410	7
20	457	7
21	461	7
done	461	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-+r+`
3×	`add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

9.0ms

(+ x (* y (- z x)))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(+ x (* y (- z x)))

simplify970.0ms

Counts

18 → 18

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	34	192
1	96	185
2	290	165
3	1271	165
done	5000	165

prune51.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(sqrt (+ x (* y (- z x))))
0.0b	(sqrt (+ x (* y (- z x))))
0.2b	(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

rewrite64.0ms

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-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `associate-+r+` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`distribute-rgt-in` `sub-neg` `rem-sqrt-square` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

12.0ms	(+ x (* y (- z x)))
5.0ms	(sqrt (+ x (* y (- z x))))
5.0ms	(sqrt (+ x (* y (- z x))))
37.0ms	(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

series68.0ms

Calls

1 calls:

37.0ms

(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))