Details

Time bar (total: 513.0ms)

sample123.0ms

Algorithm
intervals
Results
42.0ms78×body1280valid
25.0ms68×body640valid
22.0ms269×body80valid
8.0ms27×body320valid
3.0ms18×body160valid

simplify209.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
01219
12513
24913
37613
49513
511113
612513
713913
done13913

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* a1 a1) (* a2 a2))
0.3b
(* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))
0.7b
(/ (cos th) (sqrt 2.0))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
38×times-frac
32×add-cube-cbrt *-un-lft-identity
22×associate-*l* sqrt-prod
10×add-exp-log add-cbrt-cube
associate-/r*
pow1 add-log-exp
flip3-+ associate-*r* flip-+ associate-/l* unswap-sqr
cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv
+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
3 → 98
Calls
3 calls:
9.0ms
(+ (* a1 a1) (* a2 a2))
63.0ms
(* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))
21.0ms
(/ (cos th) (sqrt 2.0))

series36.0ms