Details

Time bar (total: 2.7s)

sample374.0ms

Algorithm
intervals
Results
50.0ms50×body1280valid
24.0ms163×body80valid
21.0ms34×body640valid
12.0ms28×body320valid
4.0ms37×body80nan
2.0msbody160valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
02027
14326
28824
316524
435224
593524
6302924
done500024

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ F (sin B))
0.2b
(* x (/ 1.0 (tan B)))
9.7b
(* (/ F (sin B)) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0))))
16.3b
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0)))

rewrite128.0ms

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
frac-times *-commutative
tan-quot neg-mul-1 pow-pow frac-2neg pow-prod-down associate-*l/ clear-num associate-/r/ un-div-inv
Counts
4 → 162
Calls
4 calls:
2.0ms
(/ F (sin B))
8.0ms
(* x (/ 1.0 (tan B)))
83.0ms
(* (/ F (sin B)) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0))))
25.0ms
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0)))

series606.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ F (sin B))
110.0ms
(* x (/ 1.0 (tan B)))
290.0ms
(* (/ F (sin B)) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0))))
156.0ms
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0)))

simplify64.0ms

Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
03112820