Details

Time bar (total: 548.0ms)

sample124.0ms

Algorithm
intervals
Results
55.0ms55×body1280valid
22.0ms42×body640valid
19.0ms160×body80valid
9.0ms27×body320valid
3.0ms13×body160valid

simplify81.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
01012
11812
23311
34311
45411
55911
66111
done6111

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
0.1b
(/ 1.0 (sin B))
0.2b
(/ 1.0 (tan B))
0.3b
(* x (/ 1.0 (tan B)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
31×*-un-lft-identity
29×add-cube-cbrt
28×times-frac
14×associate-*r*
13×add-exp-log add-cbrt-cube
add-log-exp
pow1 fma-def associate-/r* associate-/l*
expm1-log1p-u log1p-expm1-u
cbrt-undiv div-exp associate-*l* div-inv
tan-quot frac-2neg associate-*r/ prod-exp clear-num sum-log associate-/r/ cbrt-unprod unswap-sqr
+-commutative neg-sub0 distribute-lft-neg-in associate-+l- neg-mul-1 distribute-rgt-neg-in flip3-+ pow-prod-down neg-log frac-add *-commutative flip-+ distribute-neg-frac distribute-lft-out
Counts
4 → 117
Calls
4 calls:
47.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
11.0ms
(/ 1.0 (sin B))
11.0ms
(/ 1.0 (tan B))
40.0ms
(* x (/ 1.0 (tan B)))

series199.0ms

Calls
1 calls:
167.0ms
(* x (/ 1.0 (tan B)))