Details

Time bar (total: 7.7s)

sample225.0ms

Algorithm
intervals
Results
148.0ms105×body2560valid
48.0ms81×body1280valid
11.0ms41×body640valid
4.0ms256×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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (tan x))
2.3b
(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite54.0ms

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)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ 1.0 (tan x))
107.0ms
(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify88.0ms

Algorithm
egg-herbie
Counts
255 → 255
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
08115920
121934160
250013667

prune250.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify5.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune3.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.4b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample6.9s

Algorithm
intervals
Results
4.5s3226×body2560valid
1.6s2472×body1280valid
381.0ms1276×body640valid
125.0ms656×body320valid
109.0ms8000×pre80true
47.0ms317×body160valid
3.0ms53×body80valid