Details

Time bar (total: 33.0s)

sample28.6s

Algorithm
intervals
Results
27.0s1818×body10240exit
791.0ms81×body640valid
541.0ms130×body1280valid
80.0ms20×body320valid
10.0ms18×body80valid
7.0ms7×body160valid

simplify148.0ms

Calls
1 calls:
Slowest
147.0ms
(+ 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

localize89.0ms

Local error

Found 4 expressions with local error:

0.6b
(- (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
(fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))
0.3b
(* (cos delta) (sin phi1))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt *-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--
Calls
4 calls:
Slowest
10.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
9.0ms
(* (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)))

series565.0ms

Calls
4 calls:
Slowest
293.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
185.0ms
(fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))
81.0ms
(* (cos delta) (sin phi1))
6.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))

simplify1.8s

Calls
29 calls:
Slowest
319.0ms
(- phi1 (+ (* 1/2 (* phi1 (pow delta 2))) (* 1/6 (pow phi1 3))))
207.0ms
(- 1 (+ (* phi1 delta) (* 1/2 (pow delta 2))))
177.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin delta) (* (sin phi1) (* (cos theta) (cos phi1))))))
149.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos theta) (* (sin delta) (cos phi1))))))
115.0ms
(* (* (* (cos delta) (cos delta)) (cos delta)) (* (* (sin phi1) (sin phi1)) (sin phi1)))

prune1.8s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms