Details

Time bar (total: 44.6s)

sample27.8s

Algorithm
intervals
Results
26.3s1724×body10240exit
660.0ms130×body1280valid
471.0ms19×body160valid
201.0ms66×body640valid
49.0ms26×body320valid
7.0ms15×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)))))))))

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize94.0ms

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×prod-diff
32×*-un-lft-identity
28×add-cube-cbrt
13×associate-*l*
12×associate-*r*
6×pow1 add-cbrt-cube add-exp-log add-log-exp
5×unswap-sqr
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u
3×fma-neg
2×distribute-lft-out-- difference-of-squares
1×asin-acos sub-neg flip3-- diff-log pow-prod-down prod-exp cbrt-unprod fma-udef flip--
Calls
4 calls:
Slowest
35.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
23.0ms
(* (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)))

series488.0ms

Calls
4 calls:
Slowest
266.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
156.0ms
(fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))
60.0ms
(* (cos delta) (sin phi1))
6.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))

simplify13.5s

Calls
103 calls:
Slowest
371.0ms
(fma (sqrt (cos delta)) (sqrt (cos delta)) (- (* (cbrt (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (* (cbrt (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (cbrt (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))))))
362.0ms
(* (* (* (cos delta) (cos delta)) (cos delta)) (* (* (sin phi1) (sin phi1)) (sin phi1)))
284.0ms
(fma 1 (cos delta) (- (* (cbrt (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (* (cbrt (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (cbrt (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))))))
283.0ms
(fma (* (cbrt (cos delta)) (cbrt (cos delta))) (cbrt (cos delta)) (- (* (cbrt (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (* (cbrt (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (cbrt (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))))))
265.0ms
(/ (exp (cos delta)) (exp (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))))

prune2.5s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms