Details

Time bar (total: 818.0ms)

sample81.0ms

Algorithm
intervals
Results
33.0ms60×body1280valid
20.0ms41×body640valid
13.0ms169×body80valid
4.0ms17×body320valid
1.0msbody160valid

simplify30.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
01012
11812
23211
34411
45511
56011
66211
done6211

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

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))
0.2b
(* x (/ 1.0 (tan B)))

rewrite26.0ms

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:
9.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
2.0ms
(/ 1.0 (sin B))
2.0ms
(/ 1.0 (tan B))
9.0ms
(* x (/ 1.0 (tan B)))

series271.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
18.0ms
(/ 1.0 (sin B))
36.0ms
(/ 1.0 (tan B))
108.0ms
(* x (/ 1.0 (tan B)))

simplify391.0ms

Iterations

Useful iterations: 2 (122.0ms)

IterNodesCost
01881244
14461180
212831075