Details

Time bar (total: 3.9s)

sample102.0ms

Algorithm
intervals
Results
35.0ms45×body1280valid
25.0ms42×body640valid
17.0ms145×body80valid
6.0ms14×body320valid
2.0ms10×body160valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

prune5.0ms

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

rewrite55.0ms

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:
34.0ms
(+ (* x (cos y)) (* z (sin y)))
10.0ms
(* x (cos y))
10.0ms
(* z (sin y))

series223.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(+ (* x (cos y)) (* z (sin y)))
72.0ms
(* x (cos y))
57.0ms
(* z (sin y))

simplify3.2s

Counts
56 → 56
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
081454
1184426
2457392
31063392
42768392
done5001392

prune190.0ms

Pruning

9 alts after pruning (9 fresh and 0 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))

rewrite21.0ms

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:
15.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series42.0ms