Details

sample80.0ms

Algorithm

intervals

Results

23.0ms	41×	body	1280	valid
22.0ms	39×	body	640	valid
12.0ms	140×	body	80	valid
7.0ms	26×	body	320	valid
2.0ms	10×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	243
1	12	243
2	19	243
done	19	243

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))
0.1b	(* x (cos y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

36.0ms	(- (* x (cos y)) (* z (sin y)))
14.0ms	(* z (sin y))
12.0ms	(* x (cos y))

series206.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(- (* x (cos y)) (* z (sin y)))
52.0ms	(* z (sin y))
49.0ms	(* x (cos y))

simplify4.4s

Counts

57 → 57

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	80	11471
1	178	10878
2	420	10718
3	1340	10718
4	4873	10718
done	5021	10718

prune367.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

10.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series715.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
167.0ms	(cbrt (cos y))
179.0ms	(cbrt (cos y))
136.0ms	(cbrt (cos y))

simplify33.0ms

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	64	22963