Details

Time bar (total: 4.1s)

sample118.0ms

Algorithm
intervals
Results
51.0ms44×body1280valid
24.0ms43×body640valid
20.0ms145×body80valid
6.0ms14×body320valid
3.0ms10×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
11.0ms
(+ (* x (sin y)) (* z (cos y)))
10.0ms
(* z (cos y))
10.0ms
(* x (sin y))

series212.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(+ (* x (sin y)) (* z (cos y)))
47.0ms
(* z (cos y))
73.0ms
(* x (sin y))

simplify3.4s

Counts
56 → 56
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
082458
1186430
2458396
31055396
42739396
done5000396

prune227.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
21.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series43.0ms