Details

Time bar (total: 4.1s)

sample87.0ms

Algorithm
intervals
Results
29.0ms53×body1280valid
20.0ms30×body320valid
15.0ms38×body640valid
10.0ms129×body80valid
1.0msbody160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
089
1128
2158
done158

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x (cos y) (* z (sin y)))
0.1b
(* z (sin y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
expm1-log1p-u log1p-expm1-u add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x (cos y) (* z (sin y)))
10.0ms
(* z (sin y))

series137.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(fma x (cos y) (* z (sin y)))
60.0ms
(* z (sin y))

simplify3.5s

Counts
36 → 36
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
049269
183264
2165232
3321232
4755232
53025232
done5000232

prune206.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite52.0ms

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*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
39.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms
(cbrt (sin y))
3.0ms
(cbrt (sin y))
3.0ms
(cbrt (sin y))

series10.0ms