Details

Time bar (total: 10.0m)

sample31.8s

Algorithm
intervals
Results
30.7s1991×body10240exit
547.0ms134×body1280valid
257.0ms78×body640valid
88.0ms25×body320valid
13.0ms11×body160valid
4.0msbody80valid

simplify97.0ms

Counts
1 → 1
Iterations
IterNodes
464
364
259
136
022

prune40.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize134.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

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:
0.0ms
(fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))
51.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
1.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
15.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))

series592.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))
118.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
11.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
258.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))

simplify1.1s

Counts
76 → 76
Iterations
IterNodes
32923
2861
1304
0146

prune1.9s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify8.0ms

Iterations
IterNodes
227
127
021

end0.0ms

sample9.4m

Algorithm
intervals
Results
9.0m50607×body10240exit
13.1s3542×body1280valid
4.4s2027×body640valid
1.2s733×body320valid
666.0ms316×body160valid
174.0ms281×body80valid