Details

Time bar (total: 31.8s)

sample28.1s

Algorithm
intervals
Results
27.1s1810×body10240exit
649.0ms137×body1280valid
211.0ms70×body640valid
44.0ms26×body320valid
9.0ms16×body80valid
7.0ms7×body160valid

simplify108.0ms

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

localize403.0ms

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

rewrite14.0ms

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
4.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
4.0ms
(* (sin phi1) (cos delta))
4.0ms
(* (sin theta) (sin delta))
1.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))

series293.0ms

Calls
4 calls:
Slowest
178.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
56.0ms
(* (sin theta) (sin delta))
49.0ms
(* (sin phi1) (cos delta))
11.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))

simplify1.5s

Calls
31 calls:
Slowest
320.0ms
(- phi1 (+ (* 1/2 (* phi1 (pow delta 2))) (* 1/6 (pow phi1 3))))
248.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (sin delta) (* (cos theta) (cos phi1))))))
219.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta))))))
122.0ms
(- 1 (+ (* phi1 delta) (* 1/2 (pow delta 2))))
120.0ms
(/ (exp (cos delta)) (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))

prune1.4s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms