Details

Time bar (total: 784.0ms)

sample418.0ms

Algorithm
intervals
Results
136.0ms52×body1280valid
109.0ms141×body80valid
22.0ms31×body640valid
10.0ms19×body320valid
5.0ms13×body160valid

simplify133.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0715
11315
22115
32615
43415
53615
done3615

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×pow1
12×times-frac
10×add-exp-log add-cbrt-cube
tan-quot
swap-sqr associate-*r* associate-*l* add-log-exp
difference-of-squares
associate-/l*
associate-/r*
pow2 frac-times flip3-- pow-plus associate-*r/ pow-prod-down associate-*l/ prod-exp associate-/r/ pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod associate-/l/ unswap-sqr
cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
4 → 105
Calls
4 calls:
39.0ms
(- 1.0 (* (tan x) (tan x)))
27.0ms
(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
74.0ms
(* (tan x) (tan x))
22.0ms
(* (tan x) (tan x))

series41.0ms