Details

Time bar (total: 4.5s)

sample127.0ms

Algorithm
intervals
Results
45.0ms129×body80valid
36.0ms53×body1280valid
18.0ms37×body640valid
11.0ms31×body320valid
1.0msbody160valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

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 3 expressions with local error:

0.0b
(+ (* x (sin y)) (* z (cos y)))
0.1b
(* x (sin y))
0.2b
(* z (cos y))

rewrite54.0ms

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
expm1-log1p-u log1p-expm1-u
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
+-commutative fma-def flip3-+ sum-log flip-+
Counts
3 → 54
Calls
3 calls:
21.0ms
(+ (* x (sin y)) (* z (cos y)))
20.0ms
(* x (sin y))
10.0ms
(* z (cos y))

series263.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(+ (* x (sin y)) (* z (cos y)))
70.0ms
(* x (sin y))
77.0ms
(* z (cos y))

simplify3.7s

Counts
63 → 63
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
088498
1198453
2506420
31314420
43747420
done5000420

prune237.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

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))

rewrite25.0ms

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:
16.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
3.0ms
(cbrt (sin y))
3.0ms
(cbrt (sin y))

series6.0ms