Details

Time bar (total: 33.7s)

sample29.8s

Algorithm
intervals
Results
28.8s1860×body10240exit
520.0ms135×body1280valid
229.0ms73×body640valid
57.0ms30×body320valid
12.0ms11×body160valid
4.0ms7×body80valid

simplify104.0ms

Calls
1 calls:
Slowest
104.0ms
(+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize107.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
0.4b
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
0.3b
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
0.3b
(* (sin phi1) (cos delta))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r* associate-*l* add-log-exp
4×insert-posit16
2×pow-prod-down prod-exp *-commutative cbrt-unprod
1×asin-acos sub-neg flip3-- diff-log sin-cos-mult flip-- sin-mult
Calls
4 calls:
Slowest
7.0ms
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
5.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
4.0ms
(* (sin phi1) (cos delta))
1.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))

series481.0ms

Calls
4 calls:
Slowest
235.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
182.0ms
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
51.0ms
(* (sin phi1) (cos delta))
12.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))

simplify1.8s

Calls
31 calls:
Slowest
342.0ms
(- phi1 (+ (* 1/2 (* phi1 (pow delta 2))) (* 1/6 (pow phi1 3))))
237.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (sin delta) (* (cos theta) (cos phi1))))))
223.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta))))))
165.0ms
(* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
140.0ms
(- 1 (+ (* phi1 delta) (* 1/2 (pow delta 2))))

prune1.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms