Details

Time bar (total: 5.0s)

sample161.0ms

Algorithm
intervals
Results
42.0ms258×body80valid
32.0ms48×body640valid
19.0ms21×body1280valid
13.0ms27×body320valid
4.0ms11×body160valid

simplify4.7s

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01732
13416
27616
325716
482616
5235516
done500016

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2))
0.1b
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2)) R)
0.2b
(* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))
3.7b
(cos (/ (+ phi1 phi2) 2.0))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
associate-*r*
expm1-log1p-u log1p-expm1-u add-log-exp
pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
hypot-udef flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 63
Calls
4 calls:
0.0ms
(hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2))
8.0ms
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2)) R)
29.0ms
(* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))
33.0ms
(cos (/ (+ phi1 phi2) 2.0))

series19.0ms