Details

Time bar (total: 10.0m)

sample28.1s

Algorithm
intervals
Results
26.9s1768×body10240exit
689.0ms130×body1280valid
225.0ms74×body640valid
52.0ms30×body320valid
43.0ms14×body160valid
5.0msbody80valid

simplify478.0ms

Counts
1 → 1

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.4b
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
0.4b
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
0.3b
(* (cos delta) (sin phi1))
0.3b
(* (sin delta) (* (cos phi1) (sin theta)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
*-un-lft-identity add-cube-cbrt
associate-*l* add-log-exp
expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
fma-neg prod-diff
*-commutative
asin-acos sub-neg flip3-- diff-log flip-- unswap-sqr
Counts
4 → 74
Calls
4 calls:
Slowest
35.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
11.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
11.0ms
(* (cos delta) (sin phi1))
2.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))

series382.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
240.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
74.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
63.0ms
(* (cos delta) (sin phi1))
6.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))

simplify1.3s

Counts
86 → 86

prune2.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample9.5m