Details

sample55.0ms

Algorithm

intervals

Results

14.0ms	289×	body	80	nan
13.0ms	275×	body	80	valid

simplify182.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	10	205
1	21	205
2	51	180
3	80	180
4	101	180
5	126	180
6	140	180
7	167	180
8	173	180
done	173	180

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `add-log-exp`
3×	`fma-def` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 40

Calls

2 calls:

9.0ms	(+ x (* y (sqrt z)))
8.0ms	(* y (sqrt z))

series116.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ x (* y (sqrt z)))
61.0ms	(* y (sqrt z))

simplify3.8s

Counts

46 → 46

Iterations

Useful iterations: 3 (772.0ms)

Iter	Nodes	Cost
0	90	9495
1	240	7783
2	720	7258
3	2360	7023
done	5000	7023

prune198.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

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)))

rewrite59.0ms

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×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 96

Calls

4 calls:

4.0ms	(sqrt (sqrt z))
4.0ms	(sqrt (sqrt z))
19.0ms	(* y (sqrt (sqrt z)))
28.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series548.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(sqrt (sqrt z))
207.0ms	(sqrt (sqrt z))
103.0ms	(* y (sqrt (sqrt z)))
56.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify559.0ms

Iterations

Useful iterations: 1 (154.0ms)

Iter	Nodes	Cost
0	138	24310
1	368	19338