Details

Time bar (total: 477.0ms)

sample219.0ms

Algorithm
intervals
Results
93.0ms57×body1280valid
22.0ms39×body640valid
18.0ms132×body80valid
8.0ms19×body320valid
3.0msbody160valid

simplify65.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0715
11315
22214
32914
43714
54214
64414
done4414

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(- 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))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
23×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
expm1-log1p-u log1p-expm1-u associate-/l*
fma-neg prod-diff 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 → 119
Calls
4 calls:
11.0ms
(- 1.0 (* (tan x) (tan x)))
20.0ms
(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
28.0ms
(* (tan x) (tan x))
52.0ms
(* (tan x) (tan x))

series45.0ms