Details

Time bar (total: 765.0ms)

sample301.0ms

Algorithm
intervals
Results
23.0ms49×body1280valid
14.0ms44×body640valid
8.0ms140×body80valid
3.0ms15×body320valid
1.0msbody160valid

simplify30.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0715
11315
22214
32914
43714
54214
64414
done4414

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

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

rewrite21.0ms

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)
2.0ms
(- 1.0 (* (tan x) (tan x)))
7.0ms
(/ (- 1.0 (* (tan x) (tan x))) (fma (tan x) (tan x) 1.0))
7.0ms
(* (tan x) (tan x))

series228.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(fma (tan x) (tan x) 1.0)
35.0ms
(- 1.0 (* (tan x) (tan x)))
109.0ms
(/ (- 1.0 (* (tan x) (tan x))) (fma (tan x) (tan x) 1.0))
43.0ms
(* (tan x) (tan x))

simplify158.0ms

Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
01551557
13361462