Details

Time bar (total: 32.5s)

sample28.7s

Algorithm
intervals
Results
27.6s1764×body10240exit
523.0ms124×body1280valid
257.0ms88×body640valid
54.0ms11×body160valid
42.0ms23×body320valid
5.0ms10×body80valid

simplify109.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
108.0ms
(+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize79.0ms

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) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))
0.3b
(* (sin phi1) (cos delta))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×insert-posit16
3×associate-*r* associate-*l*
1×+-commutative asin-acos sum-log sub-neg flip3-+ flip3-- diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ sin-cos-mult flip-- unswap-sqr
Counts
4 → 54
Calls
4 calls:
Slowest
28.0ms
(+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))
10.0ms
(* (sin phi1) (cos delta))
7.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
2.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))

series506.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
257.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
163.0ms
(+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))
79.0ms
(* (sin phi1) (cos delta))
7.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))

simplify1.7s

Counts
25 → 66
Calls
25 calls:
Slowest
314.0ms
(* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (cos delta) (cos delta)) (cos delta)))
301.0ms
(/ (exp (cos delta)) (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))
246.0ms
(* (exp (* (sin phi1) (cos delta))) (exp (* (* (cos phi1) (sin delta)) (cos theta))))
173.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (sin delta) (* (cos theta) (cos phi1))))))
161.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta))))))

prune1.4s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms