Details

Time bar (total: 10.0m)

sample30.5s

Algorithm
intervals
Results
29.3s1874×body10240exit
579.0ms130×body1280valid
255.0ms70×body640valid
136.0ms37×body320valid
18.0ms15×body160valid
2.0msbody80valid

simplify33.0ms

Counts
1 → 1
Iterations
IterNodes
455
355
254
135
022

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize139.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin theta) (sin delta))
0.3b
(* (sin phi1) (cos delta))
0.4b
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
0.6b
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

rewrite41.0ms

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:
22.0ms
(* (sin theta) (sin delta))
10.0ms
(* (sin phi1) (cos delta))
2.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
6.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

series431.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (sin theta) (sin delta))
79.0ms
(* (sin phi1) (cos delta))
13.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
272.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

simplify803.0ms

Counts
74 → 74
Iterations
IterNodes
32124
2751
1323
0151

prune1.6s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify9.0ms

Iterations
IterNodes
230
130
022

end0.0ms

sample9.4m

Algorithm
intervals
Results
9.1m51685×body10240exit
14.0s3526×body1280valid
4.8s2099×body640valid
1.1s751×body320valid
433.0ms312×body160valid
110.0ms280×body80valid