Details

Time bar (total: 34.1s)

sample28.5s

Algorithm
intervals
Results
27.1s1810×body10240exit
764.0ms96×body640valid
460.0ms110×body1280valid
81.0ms28×body320valid
11.0ms9×body160valid
7.0ms13×body80valid

simplify136.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
136.0ms
(+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×pow1 add-cbrt-cube add-exp-log add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×fma-neg associate-*r* associate-*l* prod-diff
1×asin-acos sub-neg flip3-- diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef flip-- sin-mult unswap-sqr
Counts
4 → 65
Calls
4 calls:
Slowest
19.0ms
(* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))
7.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
1.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
0.0ms
(fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))

series716.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
293.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
214.0ms
(fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))
198.0ms
(* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))
10.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))

simplify2.9s

Counts
32 → 77
Calls
32 calls:
Slowest
432.0ms
(* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
327.0ms
(/ (exp (cos delta)) (exp (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))))
234.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin delta) (* (sin phi1) (* (cos theta) (cos phi1))))))
231.0ms
(- 1 (+ (* phi1 delta) (* 1/2 (pow delta 2))))
219.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos theta) (* (sin delta) (cos phi1))))))

prune1.7s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms