Details

Time bar (total: 35.1s)

sample29.3s

Algorithm
intervals
Results
28.2s1790×body10240exit
599.0ms121×body1280valid
311.0ms88×body640valid
41.0ms21×body320valid
17.0ms14×body160valid
8.0ms12×body80valid

simplify94.0ms

Calls
1 calls:
Slowest
94.0ms
(+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))

prune42.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize126.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×associate-*l* add-log-exp
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
3×fma-neg prod-diff
2×*-commutative
1×asin-acos sub-neg flip3-- diff-log flip-- sin-mult
Calls
4 calls:
Slowest
25.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
12.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
7.0ms
(* (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))))

series464.0ms

Calls
4 calls:
Slowest
201.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
186.0ms
(* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))
71.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
6.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))

simplify2.9s

Calls
39 calls:
Slowest
387.0ms
(* (* (* (sin delta) (sin delta)) (sin delta)) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (sin theta) (sin theta)) (sin theta))))
337.0ms
(* (* (* (sin delta) (sin delta)) (sin delta)) (* (* (* (cos phi1) (sin theta)) (* (cos phi1) (sin theta))) (* (cos phi1) (sin theta))))
238.0ms
(- 1 (+ (* phi1 delta) (* 1/2 (pow delta 2))))
211.0ms
(* (* (* (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)))))))
180.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos theta) (* (sin delta) (cos phi1))))))

prune2.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms