Details

Time bar (total: 8.5s)

sample212.0ms

Algorithm
intervals
Results
140.0ms102×body2560valid
47.0ms88×body1280valid
9.0ms33×body640valid
3.0ms256×pre80true
3.0ms15×body320valid
2.0ms15×body160valid
0.0msbody80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
188
2118
done118

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (tan x))
4.9b
(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
271×times-frac
220×add-sqr-sqrt
216×*-un-lft-identity
208×add-cube-cbrt
182×prod-diff
31×div-inv
14×tan-quot associate-/r/
13×fma-neg
distribute-lft-out--
add-exp-log add-cbrt-cube add-log-exp difference-of-squares
associate-/r* associate-/l*
pow1 expm1-log1p-u log1p-expm1-u
cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num frac-sub flip--
Counts
2 → 249
Calls
2 calls:
2.0ms
(/ 1.0 (tan x))
25.0ms
(- (/ 1.0 x) (/ 1.0 (tan x)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ 1.0 (tan x))
100.0ms
(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify1.1s

Counts
255 → 255
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03699638
18118496
221916108
done50005802

prune317.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.3b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11213
done1213

end0.0ms

sample6.7s

Algorithm
intervals
Results
4.6s3371×body2560valid
1.4s2415×body1280valid
343.0ms1247×body640valid
113.0ms597×body320valid
99.0ms8000×pre80true
40.0ms310×body160valid
4.0ms60×body80valid