Details

Time bar (total: 7.3s)

sample211.0ms

Algorithm
intervals
Results
146.0ms115×body2560valid
36.0ms71×body1280valid
11.0ms43×body640valid
3.0ms256×pre80true
3.0ms19×body320valid
1.0msbody160valid
0.0msbody80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
1114
2114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.1b

localize12.0ms

Local error

Found 1 expressions with local error:

2.1b
(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
262×times-frac
211×add-sqr-sqrt
207×*-un-lft-identity
199×add-cube-cbrt
182×prod-diff
30×div-inv
13×tan-quot fma-neg associate-/r/
distribute-lft-out--
difference-of-squares
add-log-exp
pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 219
Calls
1 calls:
37.0ms
(- (/ 1.0 x) (/ 1.0 (tan x)))

series102.0ms

Counts
1 → 3
Calls
1 calls:
102.0ms
(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify78.0ms

Algorithm
egg-herbie
Counts
222 → 222
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
07695769
119484014
250013552

prune193.0ms

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

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.3b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample6.6s

Algorithm
intervals
Results
4.3s3219×body2560valid
1.4s2544×body1280valid
322.0ms1260×body640valid
264.0ms638×body320valid
115.0ms8000×pre80true
35.0ms298×body160valid
2.0ms41×body80valid