Details

sample96.0ms

Algorithm

intervals

Results

30.0ms	41×	body	1280	valid
25.0ms	39×	body	640	valid
15.0ms	140×	body	80	valid
8.0ms	26×	body	320	valid
2.0ms	10×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	243
1	11	243
done	11	243

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite442.0ms

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×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 47

Calls

3 calls:

412.0ms	(+ (* x (sin y)) (* z (cos y)))
13.0ms	(* z (cos y))
14.0ms	(* x (sin y))

series218.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ (* x (sin y)) (* z (cos y)))
58.0ms	(* z (cos y))
49.0ms	(* x (sin y))

simplify2.7s

Counts

56 → 56

Iterations

Useful iterations: 2 (203.0ms)

Iter	Nodes	Cost
0	81	11269
1	192	10676
2	500	10516
3	1597	10516
done	5000	10516

prune347.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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))

rewrite22.0ms

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:

14.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series683.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
156.0ms	(cbrt (cos y))
136.0ms	(cbrt (cos y))
150.0ms	(cbrt (cos y))

simplify36.0ms

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	64	22963