Details

Time bar (total: 34.9s)

sample29.3s

Algorithm
intervals
Results
28.3s1855×body10240exit
558.0ms124×body1280valid
190.0ms75×body640valid
57.0ms32×body320valid
16.0ms16×body160valid
5.0ms9×body80valid

simplify89.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
89.0ms
(+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize75.0ms

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 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
(fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))

rewrite40.0ms

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
23.0ms
(* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))
14.0ms
(- (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)))

series713.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
270.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
237.0ms
(* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))
195.0ms
(fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))
12.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))

simplify2.7s

Counts
32 → 77
Calls
32 calls:
Slowest
427.0ms
(* (* (* (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)))))))
281.0ms
(/ (exp (cos delta)) (exp (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))))
226.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin delta) (* (sin phi1) (* (cos theta) (cos phi1))))))
216.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos theta) (* (sin delta) (cos phi1))))))
206.0ms
(- 1 (+ (* phi1 delta) (* 1/2 (pow delta 2))))

prune2.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms