Details

Time bar (total: 38.8s)

sample32.5s

Algorithm
intervals
Results
31.4s2105×body10240exit
654.0ms118×body1280valid
272.0ms79×body640valid
66.0ms37×body320valid
9.0ms9×body160valid
8.0ms13×body80valid

simplify86.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
86.0ms
(+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize124.0ms

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

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-- unswap-sqr
Counts
4 → 74
Calls
4 calls:
Slowest
50.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
14.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
13.0ms
(* (cos delta) (sin phi1))
1.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))

series440.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
246.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
118.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
65.0ms
(* (cos delta) (sin phi1))
9.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))

simplify3.7s

Counts
40 → 86
Calls
40 calls:
Slowest
603.0ms
(* (* (* (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))))
378.0ms
(* (* (* (cos delta) (cos delta)) (cos delta)) (* (* (sin phi1) (sin phi1)) (sin phi1)))
273.0ms
(/ (exp (cos delta)) (exp (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))))
258.0ms
(- 1 (+ (* phi1 delta) (* 1/2 (pow delta 2))))

prune1.9s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms