Details

Time bar (total: 32.9s)

sample27.7s

Algorithm
intervals
Results
26.1s1719×body10240exit
1.0s145×body1280valid
253.0ms76×body640valid
44.0ms24×body320valid
30.0ms6×body160valid
3.0ms5×body80valid

simplify133.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
133.0ms
(+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize96.0ms

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×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 unswap-sqr
1×asin-acos sub-neg flip3-- diff-log sin-cos-mult flip-- sin-mult
Counts
4 → 62
Calls
4 calls:
Slowest
28.0ms
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
10.0ms
(* (sin phi1) (cos delta))
6.0ms
(- (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))))

series574.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
285.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
224.0ms
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
53.0ms
(* (sin phi1) (cos delta))
13.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))

simplify2.8s

Counts
35 → 74
Calls
35 calls:
Slowest
523.0ms
(* (* (* (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)))))))
358.0ms
(* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (cos delta) (cos delta)) (cos delta)))
312.0ms
(/ (exp (cos delta)) (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))
219.0ms
(- 1 (+ (* phi1 delta) (* 1/2 (pow delta 2))))
213.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (sin delta) (* (cos theta) (cos phi1))))))

prune1.5s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms