Details

Time bar (total: 32.3s)

sample27.5s

Algorithm
intervals
Results
25.2s1724×body10240exit
1.9s130×body1280valid
207.0ms66×body640valid
45.0ms26×body320valid
19.0ms19×body160valid
9.0ms15×body80valid

simplify123.0ms

Calls
1 calls:
Slowest
122.0ms
(+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize128.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (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) (cos delta))
0.3b
(* (sin theta) (sin delta))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
12×*-un-lft-identity
8×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
7×associate-*l*
6×associate-*r* add-log-exp
4×insert-posit16
3×unswap-sqr
2×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares
1×asin-acos sub-neg flip3-- diff-log sin-cos-mult flip-- sin-mult
Calls
4 calls:
Slowest
25.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
24.0ms
(* (sin phi1) (cos delta))
21.0ms
(* (sin theta) (sin delta))
11.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))

series410.0ms

Calls
4 calls:
Slowest
272.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
79.0ms
(* (sin theta) (sin delta))
52.0ms
(* (sin phi1) (cos delta))
7.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))

simplify2.4s

Calls
41 calls:
Slowest
341.0ms
(/ (exp (cos delta)) (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))
318.0ms
(* (* (* (sin theta) (sin theta)) (sin theta)) (* (* (sin delta) (sin delta)) (sin delta)))
297.0ms
(* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (cos delta) (cos delta)) (cos delta)))
197.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (sin delta) (* (cos theta) (cos phi1))))))
181.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta))))))

prune1.7s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms