Details

Time bar (total: 4.8s)

sample429.0ms

Algorithm
intervals
Results
113.0ms53×body1280valid
102.0ms144×body80valid
60.0ms41×body640valid
35.0ms32×body320valid
16.0ms61×body80nan
6.0msbody160valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
02027
14326
29124
316924
436624
591524
6321924
done500124

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.4b

localize47.0ms

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)))

rewrite404.0ms

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
expm1-log1p-u pow-neg cbrt-unprod log1p-expm1-u 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 → 163
Calls
4 calls:
12.0ms
(/ 1.0 (tan B))
40.0ms
(* x (/ 1.0 (tan B)))
279.0ms
(* (/ F (sin B)) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0))))
59.0ms
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0)))

series4.0ms