Details

Time bar (total: 487.0ms)

sample274.0ms

Algorithm
intervals
Results
89.0ms31×body640valid
61.0ms52×body1280valid
20.0ms141×body80valid
11.0ms19×body320valid
4.0ms13×body160valid

simplify77.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0715
11315
22214
32914
43714
54214
64414
done4414

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
12×times-frac
11×pow1
add-exp-log add-cbrt-cube
add-log-exp
difference-of-squares
tan-quot expm1-log1p-u log1p-expm1-u associate-/l*
fma-neg swap-sqr associate-*r* associate-*l* prod-diff associate-/r*
flip3-- flip-- associate-/l/
cbrt-undiv pow2 frac-times sub-neg frac-2neg pow-plus diff-log div-sub associate-*r/ div-exp pow-prod-down associate-*l/ prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod fma-udef div-inv unswap-sqr
Counts
4 → 97
Calls
4 calls:
0.0ms
(fma (tan x) (tan x) 1.0)
6.0ms
(- 1.0 (* (tan x) (tan x)))
24.0ms
(/ (- 1.0 (* (tan x) (tan x))) (fma (tan x) (tan x) 1.0))
39.0ms
(* (tan x) (tan x))

series36.0ms