Details

Time bar (total: 7.9s)

sample230.0ms

Algorithm
intervals
Results
168.0ms112×body2560valid
39.0ms85×body1280valid
6.0ms29×body640valid
4.0ms256×pre80true
2.0ms17×body320valid
1.0ms12×body160valid
0.0msbody80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
1114
2114

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.9b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.8b
(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×*-un-lft-identity
10×times-frac
distribute-lft-out--
difference-of-squares
add-cube-cbrt add-log-exp
div-inv
pow1 add-exp-log sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip--
Counts
1 → 22
Calls
1 calls:
12.0ms
(- (/ 1.0 x) (/ 1.0 (tan x)))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify92.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0163196
1351186
21151186
33993185
45001185

prune44.0ms

Filtered
25 candidates to 21 candidates (16.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New24125
Fresh000
Picked101
Done000
Total25126

Merged error: 0.3b

Counts
26 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 0.022222222222222223 (pow x 3))
0.1b
(* 0.0021164021164021165 (pow x 5))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×associate-*r*
12×add-exp-log
add-cube-cbrt *-un-lft-identity
unpow-prod-down
unswap-sqr
associate-*l* prod-exp add-cbrt-cube
cube-prod sqr-pow
pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
cube-mult unpow3
Counts
2 → 56
Calls
2 calls:
5.0ms
(* 0.022222222222222223 (pow x 3))
5.0ms
(* 0.0021164021164021165 (pow x 5))

series8.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* 0.022222222222222223 (pow x 3))
4.0ms
(* 0.0021164021164021165 (pow x 5))

simplify182.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0208215
1871193
24634193
35001193

prune81.0ms

Filtered
62 candidates to 38 candidates (38.7%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New62062
Fresh000
Picked011
Done000
Total62163

Merged error: 0.3b

Counts
63 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187
1187

end0.0ms

sample7.2s

Algorithm
intervals
Results
5.2s3291×body2560valid
1.3s2463×body1280valid
234.0ms1230×body640valid
122.0ms8000×pre80true
84.0ms668×body320valid
25.0ms307×body160valid
2.0ms41×body80valid

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