Details

Time bar (total: 4.9s)

sample524.0ms

Algorithm
intervals
Results
116.0ms53×body1280valid
101.0ms32×body320valid
63.0ms41×body640valid
45.0ms144×body80valid
17.0ms61×body80nan
6.0msbody160valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
02027
14227
28326
315126
434526
587626
6319526
done500026

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (tan B))
0.2b
(* x (/ 1.0 (tan B)))
6.4b
(* (/ F (sin B)) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0))))
16.6b
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0)))

rewrite424.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
49×times-frac
45×add-cube-cbrt *-un-lft-identity
30×pow-unpow
25×add-exp-log
21×associate-*r*
16×associate-*l* add-cbrt-cube
13×distribute-lft-neg-in distribute-rgt-neg-in
unpow-prod-down prod-exp unswap-sqr
pow1
div-exp div-inv
pow-neg cbrt-unprod add-log-exp sqr-pow
cbrt-undiv neg-sub0 pow-to-exp associate-*r/ pow-exp associate-/r* associate-/l* pow-sub
tan-quot frac-times associate-/r/ *-commutative
neg-mul-1 pow-pow frac-2neg pow-prod-down associate-*l/ clear-num un-div-inv
Counts
4 → 155
Calls
4 calls:
6.0ms
(/ 1.0 (tan B))
22.0ms
(* x (/ 1.0 (tan B)))
302.0ms
(* (/ F (sin B)) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0))))
86.0ms
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0)))

series4.0ms