Details

Time bar (total: 10.0m)

sample32.4s

Algorithm
intervals
Results
31.3s1991×body10240exit
604.0ms134×body1280valid
241.0ms78×body640valid
47.0ms25×body320valid
13.0ms11×body160valid
6.0msbody80valid

simplify56.0ms

Counts
1 → 1
Iterations
IterNodes
455
355
254
135
022

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize121.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin phi1) (cos delta))
0.3b
(* (sin theta) (sin delta))
0.4b
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
0.4b
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
associate-*r* associate-*l* add-log-exp
insert-posit16
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
asin-acos sub-neg flip3-- diff-log sin-cos-mult flip-- sin-mult
Counts
4 → 62
Calls
4 calls:
10.0ms
(* (sin phi1) (cos delta))
11.0ms
(* (sin theta) (sin delta))
2.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
22.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

series435.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (sin phi1) (cos delta))
84.0ms
(* (sin theta) (sin delta))
13.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
279.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

simplify1.1s

Counts
74 → 74
Iterations
IterNodes
32073
2738
1321
0151

prune1.7s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations
IterNodes
230
130
022

end0.0ms

sample9.4m

Algorithm
intervals
Results
9.0m49086×body10240exit
13.3s3451×body1280valid
5.9s1977×body640valid
950.0ms702×body320valid
321.0ms309×body160valid
182.0ms270×body80valid