Details

Time bar (total: 2.3s)

sample85.0ms

Algorithm
intervals
Results
25.0ms32×body1280valid
23.0ms183×body80valid
17.0ms31×body640valid
2.0msbody320valid
1.0msbody160valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1139
2199
3219
done219

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt add-cbrt-cube
sum-log
associate-*r* associate-*l*
+-commutative flip3-+ flip-+
associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
10.0ms
(+ x (sin y))
77.0ms
(+ (+ x (sin y)) (* z (cos y)))
36.0ms
(* z (cos y))

series132.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ x (sin y))
53.0ms
(+ (+ x (sin y)) (* z (cos y)))
46.0ms
(* z (cos y))

simplify1.6s

Counts
52 → 52
Iterations

Useful iterations: 2 (130.0ms)

IterNodesCost
078455
1196424
2561398
31909398
done5000398

prune203.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite33.0ms

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:
23.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms
(cbrt (cos y))
3.0ms
(cbrt (cos y))
3.0ms
(cbrt (cos y))

series34.0ms