Details

Time bar (total: 10.0m)

sample30.4s

Algorithm
intervals
Results
28.8s1862×body10240exit
1.1s136×body1280valid
317.0ms75×body640valid
37.0ms21×body320valid
13.0ms11×body160valid
9.0ms13×body80valid

simplify32.0ms

Counts
1 → 1
Iterations
IterNodes
464
364
259
136
022

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize95.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
add-log-exp
expm1-log1p-u insert-posit16 log1p-expm1-u
fma-neg associate-*l* prod-diff pow-prod-down prod-exp cbrt-unprod
asin-acos sub-neg flip3-- diff-log associate-*r* *-commutative fma-udef flip--
Counts
4 → 64
Calls
4 calls:
52.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
0.0ms
(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))))
10.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))

series558.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
179.0ms
(fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))
6.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
280.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))

simplify1.1s

Counts
76 → 76
Iterations
IterNodes
32837
2835
1300
0146

prune1.8s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify9.0ms

Iterations
IterNodes
227
127
021

end0.0ms

sample9.4m

Algorithm
intervals
Results
9.0m50934×body10240exit
13.7s3507×body1280valid
5.4s1988×body640valid
1.3s752×body320valid
282.0ms286×body160valid
126.0ms251×body80valid