Details

Time bar (total: 856.0ms)

sample580.0ms

Algorithm
intervals
Results
401.0ms156×body1280valid
73.0ms63×body640valid
17.0ms24×body320valid
4.0msbody160valid
1.0msbody80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
01719
12718
23818
34318
done4318

prune42.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.8b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))
0.3b
(* (acos (fma (sin phi1) (sin phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
0.8b
(acos (fma (sin phi1) (sin phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
3.2b
(cos (- lambda1 lambda2))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log cos-sum add-cbrt-cube
prod-diff
associate-*r*
expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
cos-diff
*-commutative
distribute-rgt-in acos-asin sub-neg distribute-lft-in associate-*l/ cos-mult unswap-sqr
Counts
4 → 74
Calls
4 calls:
87.0ms
(* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))
13.0ms
(* (acos (fma (sin phi1) (sin phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
1.0ms
(acos (fma (sin phi1) (sin phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
16.0ms
(cos (- lambda1 lambda2))

series32.0ms