Details

Time bar (total: 6.4m)

sample15.1s

Algorithm
intervals
Results
14.3s1906×body10240exit
449.0ms158×body1280valid
160.0ms74×body640valid
23.0ms21×body320valid
1.0msbody80valid
0.0msbody160valid

simplify37.0ms

Counts
1 → 1

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

6.5b
(cos (- lambda1 lambda2))
6.4b
(sin (- lambda1 lambda2))
0.5b
(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
0.2b
(* (cos phi2) (sin (- lambda1 lambda2)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
36×prod-diff
33×sin-sum
32×add-sqr-sqrt
30×*-un-lft-identity add-cube-cbrt
11×distribute-rgt-in cos-sum distribute-lft-in
pow1 add-cbrt-cube add-exp-log
expm1-log1p-u sub-neg insert-posit16 log1p-expm1-u add-log-exp
associate-*r* associate-*l*
cos-diff pow-prod-down prod-exp sin-diff *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 98
Calls
4 calls:
Slowest
35.0ms
(* (cos phi2) (sin (- lambda1 lambda2)))
12.0ms
(sin (- lambda1 lambda2))
9.0ms
(cos (- lambda1 lambda2))
0.0ms
(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))

series301.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
142.0ms
(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
106.0ms
(* (cos phi2) (sin (- lambda1 lambda2)))
28.0ms
(sin (- lambda1 lambda2))
25.0ms
(cos (- lambda1 lambda2))

simplify1.1s

Counts
110 → 110

prune2.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.1m

Algorithm
intervals
Results
5.8m58818×body10240exit
12.7s5397×body1280valid
3.0s2043×body640valid
400.0ms452×body320valid
44.0ms90×body160valid
5.0ms18×body80valid