Details

Time bar (total: 10.0m)

sample28.6s

Algorithm
intervals
Results
27.1s1780×body10240exit
1.0s129×body1280valid
207.0ms79×body640valid
32.0ms17×body320valid
23.0ms17×body160valid
10.0ms14×body80valid

simplify75.0ms

Counts
1 → 1
Iterations
IterNodes
455
355
254
135
022

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize100.0ms

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)))))))

rewrite71.0ms

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:
20.0ms
(* (sin phi1) (cos delta))
22.0ms
(* (sin theta) (sin delta))
5.0ms
(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)))))))

series400.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (sin phi1) (cos delta))
59.0ms
(* (sin theta) (sin delta))
7.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
273.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

simplify793.0ms

Counts
74 → 74
Iterations
IterNodes
32094
2741
1323
0151

prune1.6s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations
IterNodes
230
130
022

end0.0ms

sample9.5m

Algorithm
intervals
Results
9.1m51558×body10240exit
12.9s3594×body1280valid
4.7s1996×body640valid
993.0ms734×body320valid
274.0ms322×body160valid
139.0ms284×body80valid