Details

Time bar (total: 34.6s)

sample28.0s

Algorithm
intervals
Results
26.4s1749×body10240exit
1.1s130×body1280valid
280.0ms77×body640valid
101.0ms29×body320valid
11.0ms9×body160valid
6.0ms11×body80valid

simplify83.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
83.0ms
(+ 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

localize67.0ms

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-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 unswap-sqr
Counts
4 → 75
Calls
4 calls:
Slowest
31.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
24.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
23.0ms
(* (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))))

series549.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
263.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
187.0ms
(* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))
92.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
7.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))

simplify3.9s

Counts
41 → 87
Calls
41 calls:
Slowest
561.0ms
(* (* (* (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)))))))
494.0ms
(* (* (* (sin delta) (sin delta)) (sin delta)) (* (* (* (cos phi1) (sin theta)) (* (cos phi1) (sin theta))) (* (cos phi1) (sin theta))))
477.0ms
(* (* (* (sin delta) (sin delta)) (sin delta)) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (sin theta) (sin theta)) (sin theta))))
341.0ms
(/ (exp (cos delta)) (exp (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))))
211.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos theta) (* (sin delta) (cos phi1))))))

prune1.9s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms