Details

sample90.0ms

Algorithm

intervals

Results

30.0ms	41×	body	1280	valid
17.0ms	39×	body	640	valid
14.0ms	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 (1.0ms)

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

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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))

rewrite37.0ms

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:

9.0ms	(+ (* x (cos y)) (* z (sin y)))
14.0ms	(* z (sin y))
13.0ms	(* x (cos y))

series228.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ (* x (cos y)) (* z (sin y)))
51.0ms	(* z (sin y))
57.0ms	(* x (cos y))

simplify2.8s

Counts

56 → 56

Iterations

Useful iterations: 2 (178.0ms)

Iter	Nodes	Cost
0	80	11187
1	190	10594
2	499	10434
3	1577	10434
done	5000	10434

prune356.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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))

series621.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
128.0ms	(cbrt (cos y))
136.0ms	(cbrt (cos y))
144.0ms	(cbrt (cos y))

simplify55.0ms

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	64	22963