Details

Time bar (total: 4.4s)

sample81.0ms

Algorithm
intervals
Results
27.0ms181×body80valid
23.0ms29×body1280valid
10.0ms23×body640valid
5.0ms16×body320valid
1.0msbody160valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08243
113243
219243
320243
done20243

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
sum-log associate-*r* associate-*l*
+-commutative associate-+l+ flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 31
Calls
2 calls:
43.0ms
(+ (+ x (sin y)) (* z (cos y)))
7.0ms
(* z (cos y))

series100.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ (+ x (sin y)) (* z (cos y)))
42.0ms
(* z (cos y))

simplify3.1s

Counts
37 → 37
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
0638662
11608040
25427960
323447960
done50027960

prune232.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3
swap-sqr associate-*r* associate-*l* add-exp-log
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:
11.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series752.0ms

Counts
4 → 12
Calls
4 calls:
283.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
155.0ms
(cbrt (cos y))
154.0ms
(cbrt (cos y))
160.0ms
(cbrt (cos y))

simplify30.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
06422963