Details

sample69.0ms

Algorithm

intervals

Results

18.0ms	289×	body	80	nan
17.0ms	275×	body	80	valid

simplify163.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	205
1	21	205
2	47	205
3	66	205
4	86	205
5	102	205
6	113	205
7	117	205
8	119	205
done	119	205

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `add-log-exp`
3×	`associate-l`
2×	`unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 33

Calls

2 calls:

4.0ms	(+ x (* y (sqrt z)))
8.0ms	(* y (sqrt z))

series129.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ x (* y (sqrt z)))
70.0ms	(* y (sqrt z))

simplify1.8s

Counts

39 → 39

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	86	8765
1	227	7078
2	690	6878
3	1906	6758
done	5003	6718

prune193.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
3.0ms	(sqrt (sqrt z))
24.0ms	(* y (sqrt (sqrt z)))
33.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series496.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(sqrt (sqrt z))
186.0ms	(sqrt (sqrt z))
97.0ms	(* y (sqrt (sqrt z)))
51.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify398.0ms

Iterations

Useful iterations: 1 (133.0ms)

Iter	Nodes	Cost
0	132	22778
1	354	17886