Details

Time bar (total: 630.0ms)

sample168.0ms

Algorithm
intervals
Results
62.0ms85×body1280valid
32.0ms55×body640valid
29.0ms244×body80valid
16.0ms43×body320valid
3.0ms14×body160valid

simplify268.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
01219
12513
24913
37613
49513
511113
612513
713913
done13913

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (cos th) (sqrt 2.0)) (* a1 a1))
0.3b
(* (/ (cos th) (sqrt 2.0)) (* a2 a2))
0.7b
(/ (cos th) (sqrt 2.0))
0.7b
(/ (cos th) (sqrt 2.0))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
70×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
44×associate-*l* sqrt-prod
32×add-exp-log add-cbrt-cube
14×pow1
12×prod-exp associate-/r* cbrt-unprod
cbrt-undiv div-exp pow-prod-down associate-/l* unswap-sqr
div-inv add-log-exp
frac-2neg associate-*r* associate-*l/ clear-num *-commutative
Counts
4 → 168
Calls
4 calls:
53.0ms
(* (/ (cos th) (sqrt 2.0)) (* a1 a1))
40.0ms
(* (/ (cos th) (sqrt 2.0)) (* a2 a2))
11.0ms
(/ (cos th) (sqrt 2.0))
19.0ms
(/ (cos th) (sqrt 2.0))

series22.0ms