Details

Time bar (total: 543.0ms)

sample211.0ms

Algorithm
intervals
Results
72.0ms269×body80valid
60.0ms78×body1280valid
34.0ms68×body640valid
10.0ms27×body320valid
4.0ms18×body160valid

simplify257.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
01219
12613
25712
38712
411412
513212
615012
717012
817212
done17212

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma a1 a1 (* a2 a2))
0.1b
(* (cos th) (fma a1 a1 (* a2 a2)))
0.4b
(/ (* (cos th) (fma a1 a1 (* a2 a2))) (sqrt 2.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
add-cube-cbrt *-un-lft-identity
times-frac associate-/r* sqrt-prod
pow1
expm1-log1p-u associate-*r* associate-*l* fma-udef log1p-expm1-u add-log-exp
cbrt-undiv div-exp prod-exp cbrt-unprod
distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 61
Calls
3 calls:
1.0ms
(fma a1 a1 (* a2 a2))
20.0ms
(* (cos th) (fma a1 a1 (* a2 a2)))
28.0ms
(/ (* (cos th) (fma a1 a1 (* a2 a2))) (sqrt 2.0))

series1.0ms