Details

Time bar (total: 468.0ms)

sample138.0ms

Algorithm
intervals
Results
52.0ms85×body1280valid
24.0ms55×body640valid
24.0ms244×body80valid
13.0ms43×body320valid
3.0ms14×body160valid

simplify276.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
01219
12613
25712
38712
411412
513212
615012
717012
817212
done17212

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (cos th) (fma a1 a1 (* a2 a2)))
0.4b
(/ (* (cos th) (fma a1 a1 (* a2 a2))) (sqrt 2.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
add-exp-log add-cbrt-cube
add-cube-cbrt *-un-lft-identity
times-frac associate-/r* sqrt-prod
pow1
associate-*r* associate-*l*
cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod fma-udef log1p-expm1-u add-log-exp
distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
10.0ms
(* (cos th) (fma a1 a1 (* a2 a2)))
23.0ms
(/ (* (cos th) (fma a1 a1 (* a2 a2))) (sqrt 2.0))

series0.0ms