Details

Time bar (total: 6.0s)

sample129.0ms

Algorithm
intervals
Results
36.0ms257×body80valid
27.0ms43×body640valid
19.0ms24×body1280valid
11.0ms24×body320valid
6.0ms20×body160valid

simplify5.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01732
13232
26932
323832
474232
5197232
6448632
done500132

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.6b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))
4.2b
(cos (/ (+ phi1 phi2) 2.0))
4.2b
(cos (/ (+ phi1 phi2) 2.0))
35.9b
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
130×associate-*l/
97×flip3-- flip--
66×sqrt-div
64×frac-times frac-add
32×associate-*r/
12×add-sqr-sqrt
*-un-lft-identity
pow1 add-cube-cbrt
add-exp-log add-cbrt-cube
associate-*l*
add-log-exp
associate-*r* sqrt-prod
rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 115
Calls
4 calls:
25.0ms
(* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))
13.0ms
(cos (/ (+ phi1 phi2) 2.0))
19.0ms
(cos (/ (+ phi1 phi2) 2.0))
161.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

series1.0ms