Details

sample51.0ms

Algorithm

intervals

Results

19.0ms	49×	body	1280	valid
10.0ms	150×	body	80	valid
7.0ms	30×	body	640	valid
4.0ms	23×	body	320	valid
0.0ms	4×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (sin y) (* z (cos y)))
0.1b	(* z (cos y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x (sin y) (* z (cos y)))
3.0ms	(* z (cos y))

series114.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(fma x (sin y) (* z (cos y)))
35.0ms	(* z (cos y))

simplify1.2s

Counts

36 → 36

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	50	271
1	86	266
2	172	233
3	300	233
4	663	233
5	2130	233
done	5000	233

prune111.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series576.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
230.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))

simplify160.0ms

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	68	726
1	131	655
2	410	551