13.824 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.082 * * * [progress]: [2/2] Setting up program.
0.085 * [progress]: [Phase 2 of 3] Improving.
0.085 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
0.087 * * [simplify]: iteration  0 :  25  enodes  (cost  7 )
0.088 * * [simplify]: iteration  1 :  50  enodes  (cost  7 )
0.090 * * [simplify]: iteration  2 :  77  enodes  (cost  7 )
0.092 * * [simplify]: iteration  3 :  96  enodes  (cost  7 )
0.094 * * [simplify]: iteration  4 :  112  enodes  (cost  7 )
0.096 * * [simplify]: iteration  5 :  127  enodes  (cost  7 )
0.099 * * [simplify]: iteration  6 :  141  enodes  (cost  7 )
0.101 * * [simplify]: iteration  7 :  141  enodes  (cost  7 )
0.101 * [simplify]: Simplified to:
   (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))
0.104 * * [progress]: iteration 1 / 4
0.104 * * * [progress]: picking best candidate
0.106 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))>
0.106 * * * [progress]: localizing error
0.117 * * * [progress]: generating rewritten candidates
0.117 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
0.122 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
0.127 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
0.136 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.151 * * * [progress]: generating series expansions
0.151 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
0.152 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
0.152 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.152 * [taylor]: Taking taylor expansion of (cos th) in th
0.152 * [taylor]: Taking taylor expansion of th in th
0.152 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.152 * [taylor]: Taking taylor expansion of 2.0 in th
0.153 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.153 * [taylor]: Taking taylor expansion of (cos th) in th
0.153 * [taylor]: Taking taylor expansion of th in th
0.153 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.153 * [taylor]: Taking taylor expansion of 2.0 in th
0.178 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
0.178 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.178 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.178 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.178 * [taylor]: Taking taylor expansion of th in th
0.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.178 * [taylor]: Taking taylor expansion of 2.0 in th
0.179 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.179 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.179 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.179 * [taylor]: Taking taylor expansion of th in th
0.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.179 * [taylor]: Taking taylor expansion of 2.0 in th
0.197 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
0.197 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.197 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.197 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.197 * [taylor]: Taking taylor expansion of -1 in th
0.197 * [taylor]: Taking taylor expansion of th in th
0.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.197 * [taylor]: Taking taylor expansion of 2.0 in th
0.198 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.198 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.198 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.198 * [taylor]: Taking taylor expansion of -1 in th
0.198 * [taylor]: Taking taylor expansion of th in th
0.198 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.198 * [taylor]: Taking taylor expansion of 2.0 in th
0.214 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
0.215 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
0.215 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.215 * [taylor]: Taking taylor expansion of (cos th) in th
0.215 * [taylor]: Taking taylor expansion of th in th
0.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.215 * [taylor]: Taking taylor expansion of 2.0 in th
0.216 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.216 * [taylor]: Taking taylor expansion of (cos th) in th
0.216 * [taylor]: Taking taylor expansion of th in th
0.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.216 * [taylor]: Taking taylor expansion of 2.0 in th
0.234 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
0.234 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.234 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.234 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.234 * [taylor]: Taking taylor expansion of th in th
0.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.235 * [taylor]: Taking taylor expansion of 2.0 in th
0.236 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.236 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.236 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.236 * [taylor]: Taking taylor expansion of th in th
0.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.236 * [taylor]: Taking taylor expansion of 2.0 in th
0.258 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
0.258 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.258 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.258 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.258 * [taylor]: Taking taylor expansion of -1 in th
0.258 * [taylor]: Taking taylor expansion of th in th
0.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.258 * [taylor]: Taking taylor expansion of 2.0 in th
0.259 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.259 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.259 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.259 * [taylor]: Taking taylor expansion of -1 in th
0.259 * [taylor]: Taking taylor expansion of th in th
0.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.260 * [taylor]: Taking taylor expansion of 2.0 in th
0.276 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
0.276 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in (th a1) around 0
0.276 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1
0.276 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1
0.276 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.276 * [taylor]: Taking taylor expansion of a1 in a1
0.276 * [taylor]: Taking taylor expansion of (cos th) in a1
0.276 * [taylor]: Taking taylor expansion of th in a1
0.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.277 * [taylor]: Taking taylor expansion of 2.0 in a1
0.278 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th
0.278 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
0.278 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.278 * [taylor]: Taking taylor expansion of a1 in th
0.278 * [taylor]: Taking taylor expansion of (cos th) in th
0.278 * [taylor]: Taking taylor expansion of th in th
0.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.278 * [taylor]: Taking taylor expansion of 2.0 in th
0.280 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th
0.280 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
0.280 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.280 * [taylor]: Taking taylor expansion of a1 in th
0.280 * [taylor]: Taking taylor expansion of (cos th) in th
0.280 * [taylor]: Taking taylor expansion of th in th
0.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.280 * [taylor]: Taking taylor expansion of 2.0 in th
0.281 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1
0.281 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.281 * [taylor]: Taking taylor expansion of a1 in a1
0.281 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.281 * [taylor]: Taking taylor expansion of 2.0 in a1
0.285 * [taylor]: Taking taylor expansion of 0 in a1
0.290 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) in a1
0.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1
0.290 * [taylor]: Taking taylor expansion of 1/2 in a1
0.290 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1
0.290 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.290 * [taylor]: Taking taylor expansion of a1 in a1
0.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.290 * [taylor]: Taking taylor expansion of 2.0 in a1
0.301 * [taylor]: Taking taylor expansion of 0 in a1
0.307 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0
0.307 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
0.307 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.307 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.307 * [taylor]: Taking taylor expansion of th in a1
0.307 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
0.307 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.307 * [taylor]: Taking taylor expansion of a1 in a1
0.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.307 * [taylor]: Taking taylor expansion of 2.0 in a1
0.309 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th
0.309 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.309 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.309 * [taylor]: Taking taylor expansion of th in th
0.310 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
0.310 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.310 * [taylor]: Taking taylor expansion of a1 in th
0.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.310 * [taylor]: Taking taylor expansion of 2.0 in th
0.311 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th
0.311 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.311 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.311 * [taylor]: Taking taylor expansion of th in th
0.311 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
0.311 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.311 * [taylor]: Taking taylor expansion of a1 in th
0.311 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.311 * [taylor]: Taking taylor expansion of 2.0 in th
0.313 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
0.313 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.313 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.313 * [taylor]: Taking taylor expansion of th in a1
0.313 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
0.313 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.313 * [taylor]: Taking taylor expansion of a1 in a1
0.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.313 * [taylor]: Taking taylor expansion of 2.0 in a1
0.317 * [taylor]: Taking taylor expansion of 0 in a1
0.323 * [taylor]: Taking taylor expansion of 0 in a1
0.332 * [taylor]: Taking taylor expansion of 0 in a1
0.348 * [taylor]: Taking taylor expansion of 0 in a1
0.349 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0
0.349 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
0.349 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.349 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.349 * [taylor]: Taking taylor expansion of -1 in a1
0.349 * [taylor]: Taking taylor expansion of th in a1
0.349 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
0.349 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.349 * [taylor]: Taking taylor expansion of a1 in a1
0.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.349 * [taylor]: Taking taylor expansion of 2.0 in a1
0.352 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th
0.352 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.352 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.352 * [taylor]: Taking taylor expansion of -1 in th
0.352 * [taylor]: Taking taylor expansion of th in th
0.352 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
0.352 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.352 * [taylor]: Taking taylor expansion of a1 in th
0.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.352 * [taylor]: Taking taylor expansion of 2.0 in th
0.353 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th
0.353 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.353 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.353 * [taylor]: Taking taylor expansion of -1 in th
0.353 * [taylor]: Taking taylor expansion of th in th
0.354 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
0.354 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.354 * [taylor]: Taking taylor expansion of a1 in th
0.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.354 * [taylor]: Taking taylor expansion of 2.0 in th
0.355 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
0.355 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.355 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.355 * [taylor]: Taking taylor expansion of -1 in a1
0.355 * [taylor]: Taking taylor expansion of th in a1
0.355 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
0.355 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.355 * [taylor]: Taking taylor expansion of a1 in a1
0.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.355 * [taylor]: Taking taylor expansion of 2.0 in a1
0.359 * [taylor]: Taking taylor expansion of 0 in a1
0.366 * [taylor]: Taking taylor expansion of 0 in a1
0.375 * [taylor]: Taking taylor expansion of 0 in a1
0.386 * [taylor]: Taking taylor expansion of 0 in a1
0.387 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.387 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0
0.387 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
0.387 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
0.387 * [taylor]: Taking taylor expansion of (cos th) in a2
0.387 * [taylor]: Taking taylor expansion of th in a2
0.387 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.387 * [taylor]: Taking taylor expansion of a2 in a2
0.387 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.387 * [taylor]: Taking taylor expansion of 2.0 in a2
0.389 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th
0.389 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th
0.389 * [taylor]: Taking taylor expansion of (cos th) in th
0.389 * [taylor]: Taking taylor expansion of th in th
0.389 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.389 * [taylor]: Taking taylor expansion of a2 in th
0.389 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.389 * [taylor]: Taking taylor expansion of 2.0 in th
0.390 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th
0.390 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th
0.390 * [taylor]: Taking taylor expansion of (cos th) in th
0.390 * [taylor]: Taking taylor expansion of th in th
0.390 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.390 * [taylor]: Taking taylor expansion of a2 in th
0.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.390 * [taylor]: Taking taylor expansion of 2.0 in th
0.391 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
0.391 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.391 * [taylor]: Taking taylor expansion of a2 in a2
0.391 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.391 * [taylor]: Taking taylor expansion of 2.0 in a2
0.395 * [taylor]: Taking taylor expansion of 0 in a2
0.399 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2
0.399 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2
0.399 * [taylor]: Taking taylor expansion of 1/2 in a2
0.399 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
0.399 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.399 * [taylor]: Taking taylor expansion of a2 in a2
0.399 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.399 * [taylor]: Taking taylor expansion of 2.0 in a2
0.410 * [taylor]: Taking taylor expansion of 0 in a2
0.416 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0
0.416 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.416 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.416 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.416 * [taylor]: Taking taylor expansion of th in a2
0.416 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.416 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.416 * [taylor]: Taking taylor expansion of 2.0 in a2
0.417 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.417 * [taylor]: Taking taylor expansion of a2 in a2
0.419 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th
0.419 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.419 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.419 * [taylor]: Taking taylor expansion of th in th
0.419 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
0.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.419 * [taylor]: Taking taylor expansion of 2.0 in th
0.420 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.420 * [taylor]: Taking taylor expansion of a2 in th
0.420 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th
0.420 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.420 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.420 * [taylor]: Taking taylor expansion of th in th
0.421 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
0.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.421 * [taylor]: Taking taylor expansion of 2.0 in th
0.421 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.421 * [taylor]: Taking taylor expansion of a2 in th
0.422 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.422 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.422 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.422 * [taylor]: Taking taylor expansion of th in a2
0.422 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.422 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.422 * [taylor]: Taking taylor expansion of 2.0 in a2
0.423 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.423 * [taylor]: Taking taylor expansion of a2 in a2
0.432 * [taylor]: Taking taylor expansion of 0 in a2
0.438 * [taylor]: Taking taylor expansion of 0 in a2
0.447 * [taylor]: Taking taylor expansion of 0 in a2
0.458 * [taylor]: Taking taylor expansion of 0 in a2
0.459 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0
0.459 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.459 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.459 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.459 * [taylor]: Taking taylor expansion of -1 in a2
0.459 * [taylor]: Taking taylor expansion of th in a2
0.459 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.459 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.459 * [taylor]: Taking taylor expansion of 2.0 in a2
0.460 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.460 * [taylor]: Taking taylor expansion of a2 in a2
0.461 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th
0.461 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.461 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.461 * [taylor]: Taking taylor expansion of -1 in th
0.461 * [taylor]: Taking taylor expansion of th in th
0.462 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
0.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.462 * [taylor]: Taking taylor expansion of 2.0 in th
0.462 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.462 * [taylor]: Taking taylor expansion of a2 in th
0.463 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th
0.463 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.463 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.463 * [taylor]: Taking taylor expansion of -1 in th
0.463 * [taylor]: Taking taylor expansion of th in th
0.464 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
0.464 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.464 * [taylor]: Taking taylor expansion of 2.0 in th
0.464 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.464 * [taylor]: Taking taylor expansion of a2 in th
0.465 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.465 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.465 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.465 * [taylor]: Taking taylor expansion of -1 in a2
0.465 * [taylor]: Taking taylor expansion of th in a2
0.465 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.465 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.465 * [taylor]: Taking taylor expansion of 2.0 in a2
0.466 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.466 * [taylor]: Taking taylor expansion of a2 in a2
0.469 * [taylor]: Taking taylor expansion of 0 in a2
0.476 * [taylor]: Taking taylor expansion of 0 in a2
0.485 * [taylor]: Taking taylor expansion of 0 in a2
0.496 * [taylor]: Taking taylor expansion of 0 in a2
0.496 * * * [progress]: simplifying candidates
0.499 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (- (log (cos th)) (log (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (cos th))
  (- (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt 1))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) 1)
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt 1))
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 1)
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 1))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) 1)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (- (log (cos th)) (log (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (cos th))
  (- (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt 1))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) 1)
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt 1))
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 1)
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 1))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) 1)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (+ (- (log (cos th)) (log (sqrt 2.0))) (+ (log a1) (log a1)))
  (+ (- (log (cos th)) (log (sqrt 2.0))) (log (* a1 a1)))
  (+ (log (/ (cos th) (sqrt 2.0))) (+ (log a1) (log a1)))
  (+ (log (/ (cos th) (sqrt 2.0))) (log (* a1 a1)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (exp (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a1 a1) a1) (* (* a1 a1) a1)))
  (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a1 a1) a1) (* (* a1 a1) a1)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))
  (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))))
  (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (sqrt (/ (cos th) (sqrt 2.0))) a1)
  (* (sqrt (/ (cos th) (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (cos th) (sqrt 2.0)) a1)
  (* (cbrt (/ (cos th) (sqrt 2.0))) (* a1 a1))
  (* (sqrt (/ (cos th) (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ 1 (sqrt 2.0)) (* a1 a1))
  (* (cos th) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (+ (- (log (cos th)) (log (sqrt 2.0))) (+ (log a2) (log a2)))
  (+ (- (log (cos th)) (log (sqrt 2.0))) (log (* a2 a2)))
  (+ (log (/ (cos th) (sqrt 2.0))) (+ (log a2) (log a2)))
  (+ (log (/ (cos th) (sqrt 2.0))) (log (* a2 a2)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (exp (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))
  (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))
  (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))
  (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (* (sqrt (/ (cos th) (sqrt 2.0))) a2)
  (* (sqrt (/ (cos th) (sqrt 2.0))) a2)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2)
  (* (/ (cos th) (sqrt 2.0)) a2)
  (* (cbrt (/ (cos th) (sqrt 2.0))) (* a2 a2))
  (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2))
  (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (cbrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt (cbrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (* (/ 1 (sqrt 2.0)) (* a2 a2))
  (* (cos th) (* a2 a2))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2.0))))
  (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
  (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
  (- (/ (pow a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0))))
  (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
  (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.505 * * [simplify]: iteration  0 :  504  enodes  (cost  1284 )
0.514 * * [simplify]: iteration  1 :  2009  enodes  (cost  1156 )
0.540 * * [simplify]: iteration  2 :  5002  enodes  (cost  1136 )
0.546 * [simplify]: Simplified to:
   (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (cos th))
  (- (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (/ (fabs (cbrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (fabs (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (* (fabs (cbrt 2.0)) 1))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (cos th))
  (- (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (/ (fabs (cbrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (fabs (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (* (fabs (cbrt 2.0)) 1))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (exp (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3)
  (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3)
  (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3)
  (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3)
  (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))))
  (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3)
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (sqrt (/ (cos th) (sqrt 2.0))) a1)
  (* (sqrt (/ (cos th) (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (cos th) (sqrt 2.0)) a1)
  (* (cbrt (/ (cos th) (sqrt 2.0))) (* a1 a1))
  (* (sqrt (/ (cos th) (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (/ (pow a1 2) (sqrt 2.0))
  (* (cos th) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (exp (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3)
  (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3)
  (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3)
  (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3)
  (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))
  (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3)
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (* (sqrt (/ (cos th) (sqrt 2.0))) a2)
  (* (sqrt (/ (cos th) (sqrt 2.0))) a2)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2)
  (* (/ (cos th) (sqrt 2.0)) a2)
  (* (cbrt (/ (cos th) (sqrt 2.0))) (* a2 a2))
  (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2))
  (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (cbrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt (cbrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (/ (pow a2 2) (sqrt 2.0))
  (* (cos th) (* a2 a2))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2.0))))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (- (/ (pow a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0))))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
0.547 * * * [progress]: adding candidates to table
0.983 * * [progress]: iteration 2 / 4
0.983 * * * [progress]: picking best candidate
1.015 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>
1.015 * * * [progress]: localizing error
1.030 * * * [progress]: generating rewritten candidates
1.030 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
1.035 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
1.051 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
1.057 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
1.102 * * * [progress]: generating series expansions
1.102 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
1.103 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
1.103 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
1.103 * [taylor]: Taking taylor expansion of (cos th) in th
1.103 * [taylor]: Taking taylor expansion of th in th
1.103 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.103 * [taylor]: Taking taylor expansion of 2.0 in th
1.105 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
1.105 * [taylor]: Taking taylor expansion of (cos th) in th
1.105 * [taylor]: Taking taylor expansion of th in th
1.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.105 * [taylor]: Taking taylor expansion of 2.0 in th
1.123 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
1.123 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
1.123 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
1.123 * [taylor]: Taking taylor expansion of (/ 1 th) in th
1.123 * [taylor]: Taking taylor expansion of th in th
1.124 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.124 * [taylor]: Taking taylor expansion of 2.0 in th
1.125 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
1.125 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
1.125 * [taylor]: Taking taylor expansion of (/ 1 th) in th
1.125 * [taylor]: Taking taylor expansion of th in th
1.125 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.125 * [taylor]: Taking taylor expansion of 2.0 in th
1.142 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
1.142 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
1.142 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
1.142 * [taylor]: Taking taylor expansion of (/ -1 th) in th
1.142 * [taylor]: Taking taylor expansion of -1 in th
1.142 * [taylor]: Taking taylor expansion of th in th
1.142 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.142 * [taylor]: Taking taylor expansion of 2.0 in th
1.143 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
1.143 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
1.143 * [taylor]: Taking taylor expansion of (/ -1 th) in th
1.143 * [taylor]: Taking taylor expansion of -1 in th
1.143 * [taylor]: Taking taylor expansion of th in th
1.143 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.143 * [taylor]: Taking taylor expansion of 2.0 in th
1.166 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
1.167 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
1.167 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
1.167 * [taylor]: Taking taylor expansion of (cos th) in th
1.168 * [taylor]: Taking taylor expansion of th in th
1.168 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.168 * [taylor]: Taking taylor expansion of 2.0 in th
1.169 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
1.169 * [taylor]: Taking taylor expansion of (cos th) in th
1.169 * [taylor]: Taking taylor expansion of th in th
1.169 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.169 * [taylor]: Taking taylor expansion of 2.0 in th
1.187 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
1.188 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
1.188 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
1.188 * [taylor]: Taking taylor expansion of (/ 1 th) in th
1.188 * [taylor]: Taking taylor expansion of th in th
1.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.188 * [taylor]: Taking taylor expansion of 2.0 in th
1.189 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
1.189 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
1.189 * [taylor]: Taking taylor expansion of (/ 1 th) in th
1.189 * [taylor]: Taking taylor expansion of th in th
1.189 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.189 * [taylor]: Taking taylor expansion of 2.0 in th
1.206 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
1.206 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
1.206 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
1.206 * [taylor]: Taking taylor expansion of (/ -1 th) in th
1.206 * [taylor]: Taking taylor expansion of -1 in th
1.206 * [taylor]: Taking taylor expansion of th in th
1.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.207 * [taylor]: Taking taylor expansion of 2.0 in th
1.208 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
1.208 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
1.208 * [taylor]: Taking taylor expansion of (/ -1 th) in th
1.208 * [taylor]: Taking taylor expansion of -1 in th
1.208 * [taylor]: Taking taylor expansion of th in th
1.208 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.208 * [taylor]: Taking taylor expansion of 2.0 in th
1.225 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
1.226 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0
1.226 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
1.226 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
1.226 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
1.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.226 * [taylor]: Taking taylor expansion of 2.0 in th
1.229 * [taylor]: Taking taylor expansion of (cos th) in th
1.229 * [taylor]: Taking taylor expansion of th in th
1.229 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
1.229 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
1.229 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
1.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.229 * [taylor]: Taking taylor expansion of 2.0 in th
1.232 * [taylor]: Taking taylor expansion of (cos th) in th
1.232 * [taylor]: Taking taylor expansion of th in th
1.266 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0
1.266 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
1.266 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
1.266 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
1.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.266 * [taylor]: Taking taylor expansion of 2.0 in th
1.269 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
1.269 * [taylor]: Taking taylor expansion of (/ 1 th) in th
1.269 * [taylor]: Taking taylor expansion of th in th
1.269 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
1.269 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
1.269 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
1.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.269 * [taylor]: Taking taylor expansion of 2.0 in th
1.273 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
1.273 * [taylor]: Taking taylor expansion of (/ 1 th) in th
1.273 * [taylor]: Taking taylor expansion of th in th
1.294 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0
1.294 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
1.294 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
1.294 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
1.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.294 * [taylor]: Taking taylor expansion of 2.0 in th
1.297 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
1.297 * [taylor]: Taking taylor expansion of (/ -1 th) in th
1.297 * [taylor]: Taking taylor expansion of -1 in th
1.297 * [taylor]: Taking taylor expansion of th in th
1.297 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
1.297 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
1.297 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
1.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.297 * [taylor]: Taking taylor expansion of 2.0 in th
1.301 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
1.301 * [taylor]: Taking taylor expansion of (/ -1 th) in th
1.301 * [taylor]: Taking taylor expansion of -1 in th
1.301 * [taylor]: Taking taylor expansion of th in th
1.328 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
1.329 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in (th a1) around 0
1.329 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1
1.329 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1
1.329 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
1.329 * [taylor]: Taking taylor expansion of a1 in a1
1.329 * [taylor]: Taking taylor expansion of (cos th) in a1
1.329 * [taylor]: Taking taylor expansion of th in a1
1.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
1.329 * [taylor]: Taking taylor expansion of 2.0 in a1
1.330 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th
1.330 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
1.330 * [taylor]: Taking taylor expansion of (pow a1 2) in th
1.331 * [taylor]: Taking taylor expansion of a1 in th
1.331 * [taylor]: Taking taylor expansion of (cos th) in th
1.331 * [taylor]: Taking taylor expansion of th in th
1.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.331 * [taylor]: Taking taylor expansion of 2.0 in th
1.332 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th
1.332 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
1.332 * [taylor]: Taking taylor expansion of (pow a1 2) in th
1.332 * [taylor]: Taking taylor expansion of a1 in th
1.332 * [taylor]: Taking taylor expansion of (cos th) in th
1.332 * [taylor]: Taking taylor expansion of th in th
1.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.332 * [taylor]: Taking taylor expansion of 2.0 in th
1.333 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1
1.333 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
1.333 * [taylor]: Taking taylor expansion of a1 in a1
1.333 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
1.333 * [taylor]: Taking taylor expansion of 2.0 in a1
1.336 * [taylor]: Taking taylor expansion of 0 in a1
1.341 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) in a1
1.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1
1.341 * [taylor]: Taking taylor expansion of 1/2 in a1
1.341 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1
1.341 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
1.341 * [taylor]: Taking taylor expansion of a1 in a1
1.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
1.341 * [taylor]: Taking taylor expansion of 2.0 in a1
1.352 * [taylor]: Taking taylor expansion of 0 in a1
1.358 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0
1.358 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
1.358 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
1.358 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
1.358 * [taylor]: Taking taylor expansion of th in a1
1.358 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
1.358 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
1.358 * [taylor]: Taking taylor expansion of a1 in a1
1.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
1.358 * [taylor]: Taking taylor expansion of 2.0 in a1
1.361 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th
1.361 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
1.361 * [taylor]: Taking taylor expansion of (/ 1 th) in th
1.361 * [taylor]: Taking taylor expansion of th in th
1.361 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
1.361 * [taylor]: Taking taylor expansion of (pow a1 2) in th
1.361 * [taylor]: Taking taylor expansion of a1 in th
1.361 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.361 * [taylor]: Taking taylor expansion of 2.0 in th
1.362 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th
1.362 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
1.362 * [taylor]: Taking taylor expansion of (/ 1 th) in th
1.362 * [taylor]: Taking taylor expansion of th in th
1.363 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
1.363 * [taylor]: Taking taylor expansion of (pow a1 2) in th
1.363 * [taylor]: Taking taylor expansion of a1 in th
1.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.363 * [taylor]: Taking taylor expansion of 2.0 in th
1.364 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
1.364 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
1.364 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
1.364 * [taylor]: Taking taylor expansion of th in a1
1.364 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
1.364 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
1.364 * [taylor]: Taking taylor expansion of a1 in a1
1.364 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
1.364 * [taylor]: Taking taylor expansion of 2.0 in a1
1.369 * [taylor]: Taking taylor expansion of 0 in a1
1.375 * [taylor]: Taking taylor expansion of 0 in a1
1.384 * [taylor]: Taking taylor expansion of 0 in a1
1.394 * [taylor]: Taking taylor expansion of 0 in a1
1.395 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0
1.395 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
1.395 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
1.395 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
1.395 * [taylor]: Taking taylor expansion of -1 in a1
1.395 * [taylor]: Taking taylor expansion of th in a1
1.395 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
1.395 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
1.395 * [taylor]: Taking taylor expansion of a1 in a1
1.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
1.395 * [taylor]: Taking taylor expansion of 2.0 in a1
1.397 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th
1.397 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
1.397 * [taylor]: Taking taylor expansion of (/ -1 th) in th
1.397 * [taylor]: Taking taylor expansion of -1 in th
1.397 * [taylor]: Taking taylor expansion of th in th
1.398 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
1.398 * [taylor]: Taking taylor expansion of (pow a1 2) in th
1.398 * [taylor]: Taking taylor expansion of a1 in th
1.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.398 * [taylor]: Taking taylor expansion of 2.0 in th
1.399 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th
1.399 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
1.399 * [taylor]: Taking taylor expansion of (/ -1 th) in th
1.399 * [taylor]: Taking taylor expansion of -1 in th
1.399 * [taylor]: Taking taylor expansion of th in th
1.400 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
1.400 * [taylor]: Taking taylor expansion of (pow a1 2) in th
1.400 * [taylor]: Taking taylor expansion of a1 in th
1.400 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
1.400 * [taylor]: Taking taylor expansion of 2.0 in th
1.401 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
1.401 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
1.401 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
1.401 * [taylor]: Taking taylor expansion of -1 in a1
1.401 * [taylor]: Taking taylor expansion of th in a1
1.401 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
1.401 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
1.401 * [taylor]: Taking taylor expansion of a1 in a1
1.401 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
1.401 * [taylor]: Taking taylor expansion of 2.0 in a1
1.405 * [taylor]: Taking taylor expansion of 0 in a1
1.419 * [taylor]: Taking taylor expansion of 0 in a1
1.427 * [taylor]: Taking taylor expansion of 0 in a1
1.443 * [taylor]: Taking taylor expansion of 0 in a1
1.444 * * * [progress]: simplifying candidates
1.459 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (- (log (cos th)) (log (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (cos th))
  (- (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt 1))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) 1)
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt 1))
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 1)
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 1))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) 1)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (- (- (log (cos th)) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (- (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (log (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (/ (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))
  (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (- (/ (cos th) (sqrt (sqrt 2.0))))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt 1)))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt 1))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) 1)
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 1)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt 1))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) 1)
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1)
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) 1)
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) 1)
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
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  (+ (- (log (cos th)) (log (sqrt 2.0))) (+ (log a1) (log a1)))
  (+ (- (log (cos th)) (log (sqrt 2.0))) (log (* a1 a1)))
  (+ (log (/ (cos th) (sqrt 2.0))) (+ (log a1) (log a1)))
  (+ (log (/ (cos th) (sqrt 2.0))) (log (* a1 a1)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (exp (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a1 a1) a1) (* (* a1 a1) a1)))
  (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a1 a1) a1) (* (* a1 a1) a1)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))
  (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))))
  (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (sqrt (/ (cos th) (sqrt 2.0))) a1)
  (* (sqrt (/ (cos th) (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (cos th) (sqrt 2.0)) a1)
  (* (cbrt (/ (cos th) (sqrt 2.0))) (* a1 a1))
  (* (sqrt (/ (cos th) (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ 1 (sqrt 2.0)) (* a1 a1))
  (* (cos th) (* a1 a1))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0))))))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2.0))))
  (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
  (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
1.488 * * [simplify]: iteration  0 :  1115  enodes  (cost  6666 )
1.506 * * [simplify]: iteration  1 :  4569  enodes  (cost  5845 )
1.543 * * [simplify]: iteration  2 :  5002  enodes  (cost  5839 )
1.566 * [simplify]: Simplified to:
   (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (cos th))
  (- (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (/ (fabs (cbrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (fabs (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (/ (fabs (cbrt 2.0)) 1))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (* (fabs (cbrt 2.0)) 1))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (/ (cos th) (sqrt (sqrt 2.0))))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (sqrt (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (sqrt (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (sqrt (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (cbrt (cos th)) (/ (fabs (cbrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (sqrt (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (sqrt (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
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  (/ 1 (* (sqrt (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (* 1 (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt 2.0))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (* (sqrt (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (* 1 (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt 2.0))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (* (sqrt (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (* 1 (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (* 1 (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cos th) (fabs (cbrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (pow (/ 1 (sqrt (sqrt (sqrt 2.0)))) 3)
  (cos th)
  (/ 1 (sqrt 2.0))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (pow (/ 1 (sqrt (sqrt (sqrt 2.0)))) 3)
  (cos th)
  (/ 1 (sqrt 2.0))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (pow (/ 1 (sqrt (sqrt (sqrt 2.0)))) 3)
  (cos th)
  (/ 1 (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt 2.0) (cos th))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (* (fabs (cbrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt 2.0) (cos th))
  (sqrt 2.0)
  (sqrt 2.0)
  (log (/ (cos th) (sqrt (sqrt 2.0))))
  (log (/ (cos th) (sqrt (sqrt 2.0))))
  (exp (/ (cos th) (sqrt (sqrt 2.0))))
  (pow (/ (cos th) (sqrt (sqrt 2.0))) 3)
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (cbrt (/ (cos th) (sqrt (sqrt 2.0))))
  (pow (/ (cos th) (sqrt (sqrt 2.0))) 3)
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (- (cos th))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (* 1 (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (* 1 (fabs (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (fabs (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (cos th)
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (cos th)
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (cos th)
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (exp (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3)
  (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3)
  (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3)
  (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3)
  (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))))
  (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3)
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (sqrt (/ (cos th) (sqrt 2.0))) a1)
  (* (sqrt (/ (cos th) (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (cos th) (sqrt 2.0)) a1)
  (* (cbrt (/ (cos th) (sqrt 2.0))) (* a1 a1))
  (* (sqrt (/ (cos th) (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (/ (pow a1 2) (sqrt 2.0))
  (* (cos th) (* a1 a1))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (+ (* (sqrt (/ 1 (sqrt 2.0))) (- (* 1/24 (pow th 4)) (* 1/2 (pow th 2)))) (sqrt (/ 1 (sqrt 2.0))))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2.0))))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
1.575 * * * [progress]: adding candidates to table
2.395 * * [progress]: iteration 3 / 4
2.395 * * * [progress]: picking best candidate
2.422 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2.0)) a1) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>
2.422 * * * [progress]: localizing error
2.436 * * * [progress]: generating rewritten candidates
2.436 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1)
2.441 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
2.462 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
2.468 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
2.505 * * * [progress]: generating series expansions
2.505 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1)
2.505 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
2.506 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
2.506 * [taylor]: Taking taylor expansion of (cos th) in th
2.506 * [taylor]: Taking taylor expansion of th in th
2.506 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.506 * [taylor]: Taking taylor expansion of 2.0 in th
2.507 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
2.507 * [taylor]: Taking taylor expansion of (cos th) in th
2.507 * [taylor]: Taking taylor expansion of th in th
2.507 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.507 * [taylor]: Taking taylor expansion of 2.0 in th
2.532 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
2.532 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
2.532 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
2.532 * [taylor]: Taking taylor expansion of (/ 1 th) in th
2.532 * [taylor]: Taking taylor expansion of th in th
2.533 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.533 * [taylor]: Taking taylor expansion of 2.0 in th
2.534 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
2.534 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
2.534 * [taylor]: Taking taylor expansion of (/ 1 th) in th
2.534 * [taylor]: Taking taylor expansion of th in th
2.534 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.534 * [taylor]: Taking taylor expansion of 2.0 in th
2.551 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
2.551 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
2.551 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
2.551 * [taylor]: Taking taylor expansion of (/ -1 th) in th
2.551 * [taylor]: Taking taylor expansion of -1 in th
2.551 * [taylor]: Taking taylor expansion of th in th
2.551 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.551 * [taylor]: Taking taylor expansion of 2.0 in th
2.552 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
2.552 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
2.552 * [taylor]: Taking taylor expansion of (/ -1 th) in th
2.552 * [taylor]: Taking taylor expansion of -1 in th
2.552 * [taylor]: Taking taylor expansion of th in th
2.553 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.553 * [taylor]: Taking taylor expansion of 2.0 in th
2.568 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
2.570 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
2.570 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
2.570 * [taylor]: Taking taylor expansion of (cos th) in th
2.570 * [taylor]: Taking taylor expansion of th in th
2.570 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.570 * [taylor]: Taking taylor expansion of 2.0 in th
2.571 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
2.571 * [taylor]: Taking taylor expansion of (cos th) in th
2.571 * [taylor]: Taking taylor expansion of th in th
2.571 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.571 * [taylor]: Taking taylor expansion of 2.0 in th
2.590 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
2.590 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
2.590 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
2.590 * [taylor]: Taking taylor expansion of (/ 1 th) in th
2.590 * [taylor]: Taking taylor expansion of th in th
2.591 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.591 * [taylor]: Taking taylor expansion of 2.0 in th
2.592 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
2.592 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
2.592 * [taylor]: Taking taylor expansion of (/ 1 th) in th
2.592 * [taylor]: Taking taylor expansion of th in th
2.592 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.592 * [taylor]: Taking taylor expansion of 2.0 in th
2.615 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
2.615 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
2.615 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
2.615 * [taylor]: Taking taylor expansion of (/ -1 th) in th
2.615 * [taylor]: Taking taylor expansion of -1 in th
2.615 * [taylor]: Taking taylor expansion of th in th
2.616 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.616 * [taylor]: Taking taylor expansion of 2.0 in th
2.616 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
2.617 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
2.617 * [taylor]: Taking taylor expansion of (/ -1 th) in th
2.617 * [taylor]: Taking taylor expansion of -1 in th
2.617 * [taylor]: Taking taylor expansion of th in th
2.617 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.617 * [taylor]: Taking taylor expansion of 2.0 in th
2.633 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
2.634 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0
2.634 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
2.634 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
2.634 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
2.634 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.634 * [taylor]: Taking taylor expansion of 2.0 in th
2.637 * [taylor]: Taking taylor expansion of (cos th) in th
2.637 * [taylor]: Taking taylor expansion of th in th
2.637 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
2.637 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
2.637 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
2.637 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.637 * [taylor]: Taking taylor expansion of 2.0 in th
2.640 * [taylor]: Taking taylor expansion of (cos th) in th
2.640 * [taylor]: Taking taylor expansion of th in th
2.667 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0
2.667 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
2.667 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
2.667 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
2.667 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.667 * [taylor]: Taking taylor expansion of 2.0 in th
2.670 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
2.670 * [taylor]: Taking taylor expansion of (/ 1 th) in th
2.670 * [taylor]: Taking taylor expansion of th in th
2.671 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
2.671 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
2.671 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
2.671 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.671 * [taylor]: Taking taylor expansion of 2.0 in th
2.674 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
2.674 * [taylor]: Taking taylor expansion of (/ 1 th) in th
2.674 * [taylor]: Taking taylor expansion of th in th
2.703 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0
2.703 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
2.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
2.703 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
2.703 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.703 * [taylor]: Taking taylor expansion of 2.0 in th
2.706 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
2.706 * [taylor]: Taking taylor expansion of (/ -1 th) in th
2.706 * [taylor]: Taking taylor expansion of -1 in th
2.706 * [taylor]: Taking taylor expansion of th in th
2.706 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
2.706 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
2.706 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
2.706 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.706 * [taylor]: Taking taylor expansion of 2.0 in th
2.710 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
2.710 * [taylor]: Taking taylor expansion of (/ -1 th) in th
2.710 * [taylor]: Taking taylor expansion of -1 in th
2.710 * [taylor]: Taking taylor expansion of th in th
2.730 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
2.731 * [approximate]: Taking taylor expansion of (/ (* a1 (cos th)) (sqrt 2.0)) in (th a1) around 0
2.731 * [taylor]: Taking taylor expansion of (/ (* a1 (cos th)) (sqrt 2.0)) in a1
2.731 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in a1
2.731 * [taylor]: Taking taylor expansion of a1 in a1
2.731 * [taylor]: Taking taylor expansion of (cos th) in a1
2.731 * [taylor]: Taking taylor expansion of th in a1
2.731 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
2.731 * [taylor]: Taking taylor expansion of 2.0 in a1
2.734 * [taylor]: Taking taylor expansion of (/ (* a1 (cos th)) (sqrt 2.0)) in th
2.734 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in th
2.734 * [taylor]: Taking taylor expansion of a1 in th
2.734 * [taylor]: Taking taylor expansion of (cos th) in th
2.734 * [taylor]: Taking taylor expansion of th in th
2.734 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.734 * [taylor]: Taking taylor expansion of 2.0 in th
2.735 * [taylor]: Taking taylor expansion of (/ (* a1 (cos th)) (sqrt 2.0)) in th
2.735 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in th
2.735 * [taylor]: Taking taylor expansion of a1 in th
2.735 * [taylor]: Taking taylor expansion of (cos th) in th
2.735 * [taylor]: Taking taylor expansion of th in th
2.735 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.735 * [taylor]: Taking taylor expansion of 2.0 in th
2.736 * [taylor]: Taking taylor expansion of (/ a1 (sqrt 2.0)) in a1
2.736 * [taylor]: Taking taylor expansion of a1 in a1
2.736 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
2.736 * [taylor]: Taking taylor expansion of 2.0 in a1
2.739 * [taylor]: Taking taylor expansion of 0 in a1
2.743 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ a1 (sqrt 2.0)))) in a1
2.743 * [taylor]: Taking taylor expansion of (* 1/2 (/ a1 (sqrt 2.0))) in a1
2.743 * [taylor]: Taking taylor expansion of 1/2 in a1
2.743 * [taylor]: Taking taylor expansion of (/ a1 (sqrt 2.0)) in a1
2.743 * [taylor]: Taking taylor expansion of a1 in a1
2.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
2.743 * [taylor]: Taking taylor expansion of 2.0 in a1
2.752 * [taylor]: Taking taylor expansion of 0 in a1
2.758 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in (th a1) around 0
2.758 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in a1
2.758 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
2.758 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
2.758 * [taylor]: Taking taylor expansion of th in a1
2.758 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1
2.758 * [taylor]: Taking taylor expansion of a1 in a1
2.758 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
2.758 * [taylor]: Taking taylor expansion of 2.0 in a1
2.761 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in th
2.761 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
2.761 * [taylor]: Taking taylor expansion of (/ 1 th) in th
2.761 * [taylor]: Taking taylor expansion of th in th
2.761 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in th
2.761 * [taylor]: Taking taylor expansion of a1 in th
2.761 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.761 * [taylor]: Taking taylor expansion of 2.0 in th
2.762 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in th
2.762 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
2.763 * [taylor]: Taking taylor expansion of (/ 1 th) in th
2.763 * [taylor]: Taking taylor expansion of th in th
2.763 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in th
2.763 * [taylor]: Taking taylor expansion of a1 in th
2.763 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.763 * [taylor]: Taking taylor expansion of 2.0 in th
2.764 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in a1
2.764 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
2.764 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
2.764 * [taylor]: Taking taylor expansion of th in a1
2.764 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1
2.764 * [taylor]: Taking taylor expansion of a1 in a1
2.764 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
2.764 * [taylor]: Taking taylor expansion of 2.0 in a1
2.769 * [taylor]: Taking taylor expansion of 0 in a1
2.781 * [taylor]: Taking taylor expansion of 0 in a1
2.788 * [taylor]: Taking taylor expansion of 0 in a1
2.795 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in (th a1) around 0
2.795 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in a1
2.795 * [taylor]: Taking taylor expansion of -1 in a1
2.795 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2.0))) in a1
2.795 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
2.795 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
2.795 * [taylor]: Taking taylor expansion of -1 in a1
2.795 * [taylor]: Taking taylor expansion of th in a1
2.795 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1
2.795 * [taylor]: Taking taylor expansion of a1 in a1
2.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
2.795 * [taylor]: Taking taylor expansion of 2.0 in a1
2.798 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in th
2.798 * [taylor]: Taking taylor expansion of -1 in th
2.798 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2.0))) in th
2.798 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
2.798 * [taylor]: Taking taylor expansion of (/ -1 th) in th
2.798 * [taylor]: Taking taylor expansion of -1 in th
2.798 * [taylor]: Taking taylor expansion of th in th
2.798 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in th
2.798 * [taylor]: Taking taylor expansion of a1 in th
2.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.799 * [taylor]: Taking taylor expansion of 2.0 in th
2.800 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in th
2.800 * [taylor]: Taking taylor expansion of -1 in th
2.800 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2.0))) in th
2.800 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
2.800 * [taylor]: Taking taylor expansion of (/ -1 th) in th
2.800 * [taylor]: Taking taylor expansion of -1 in th
2.800 * [taylor]: Taking taylor expansion of th in th
2.800 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in th
2.800 * [taylor]: Taking taylor expansion of a1 in th
2.800 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
2.800 * [taylor]: Taking taylor expansion of 2.0 in th
2.802 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in a1
2.802 * [taylor]: Taking taylor expansion of -1 in a1
2.802 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2.0))) in a1
2.802 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
2.802 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
2.802 * [taylor]: Taking taylor expansion of -1 in a1
2.802 * [taylor]: Taking taylor expansion of th in a1
2.802 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1
2.803 * [taylor]: Taking taylor expansion of a1 in a1
2.803 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
2.803 * [taylor]: Taking taylor expansion of 2.0 in a1
2.808 * [taylor]: Taking taylor expansion of 0 in a1
2.815 * [taylor]: Taking taylor expansion of 0 in a1
2.824 * [taylor]: Taking taylor expansion of 0 in a1
2.831 * * * [progress]: simplifying candidates
2.839 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (- (log (cos th)) (log (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (cos th))
  (- (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt 1))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) 1)
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt 1))
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 1)
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 1))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) 1)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (- (- (log (cos th)) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (- (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (log (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (/ (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))
  (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (- (/ (cos th) (sqrt (sqrt 2.0))))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt 1)))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt 1))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) 1)
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 1)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt 1))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
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  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
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  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt 1))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) 1)
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ 1 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ 1 1) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ 1 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ 1 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 1) (sqrt (sqrt 1)))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ 1 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 1) (sqrt 1))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ 1 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 1) 1)
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 1)))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt 1))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 1)
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 1)))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt 1))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) 1)
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 1)))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt 1))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) 1)
  (/ (sqrt (sqrt 2.0)) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0)))
  (- (log (cos th)) (log (sqrt (sqrt 2.0))))
  (log (/ (cos th) (sqrt (sqrt 2.0))))
  (exp (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (cbrt (/ (cos th) (sqrt (sqrt 2.0))))
  (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (- (cos th))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt 1)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt 1))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) 1)
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 1)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt 1))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 1)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 1)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt 1))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) 1)
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (* (/ (cos th) (sqrt 2.0)) a1)
  (+ (- (log (cos th)) (log (sqrt 2.0))) (log a1))
  (+ (log (/ (cos th) (sqrt 2.0))) (log a1))
  (log (* (/ (cos th) (sqrt 2.0)) a1))
  (exp (* (/ (cos th) (sqrt 2.0)) a1))
  (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* a1 a1) a1))
  (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* a1 a1) a1))
  (* (cbrt (* (/ (cos th) (sqrt 2.0)) a1)) (cbrt (* (/ (cos th) (sqrt 2.0)) a1)))
  (cbrt (* (/ (cos th) (sqrt 2.0)) a1))
  (* (* (* (/ (cos th) (sqrt 2.0)) a1) (* (/ (cos th) (sqrt 2.0)) a1)) (* (/ (cos th) (sqrt 2.0)) a1))
  (sqrt (* (/ (cos th) (sqrt 2.0)) a1))
  (sqrt (* (/ (cos th) (sqrt 2.0)) a1))
  (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt a1))
  (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt a1))
  (* (/ (cos th) (sqrt 2.0)) (* (cbrt a1) (cbrt a1)))
  (* (/ (cos th) (sqrt 2.0)) (sqrt a1))
  (* (/ (cos th) (sqrt 2.0)) 1)
  (* (cbrt (/ (cos th) (sqrt 2.0))) a1)
  (* (sqrt (/ (cos th) (sqrt 2.0))) a1)
  (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) a1)
  (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) a1)
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (cbrt (cos th)) (sqrt 2.0)) a1)
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (cbrt (cos th)) (sqrt 2.0)) a1)
  (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt 2.0)) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt 2.0)) a1)
  (* (/ (cos th) (cbrt (sqrt 2.0))) a1)
  (* (/ (cos th) (sqrt (cbrt 2.0))) a1)
  (* (/ (cos th) (sqrt (sqrt 2.0))) a1)
  (* (/ (cos th) (sqrt 2.0)) a1)
  (* (/ (cos th) (sqrt (sqrt 2.0))) a1)
  (* (/ (cos th) (sqrt 2.0)) a1)
  (* (/ (cos th) (sqrt 2.0)) a1)
  (* (/ 1 (sqrt 2.0)) a1)
  (* (cos th) a1)
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0))))))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (- (/ a1 (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) a1) (sqrt 2.0))))
  (/ (* a1 (cos th)) (sqrt 2.0))
  (/ (* a1 (cos th)) (sqrt 2.0))
2.864 * * [simplify]: iteration  0 :  1055  enodes  (cost  6589 )
2.881 * * [simplify]: iteration  1 :  4296  enodes  (cost  5793 )
2.917 * * [simplify]: iteration  2 :  5002  enodes  (cost  5784 )
2.940 * [simplify]: Simplified to:
   (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (cos th))
  (- (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (/ (fabs (cbrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (fabs (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (/ (cos th) (sqrt (sqrt 2.0))))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
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  (log (/ (cos th) (sqrt (sqrt 2.0))))
  (log (/ (cos th) (sqrt (sqrt 2.0))))
  (exp (/ (cos th) (sqrt (sqrt 2.0))))
  (pow (/ (cos th) (sqrt (sqrt 2.0))) 3)
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (cbrt (/ (cos th) (sqrt (sqrt 2.0))))
  (pow (/ (cos th) (sqrt (sqrt 2.0))) 3)
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (- (cos th))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (* 1 (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (* 1 (fabs (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (fabs (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (cos th)
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (cos th)
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (cos th)
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (* (/ (cos th) (sqrt 2.0)) a1)
  (log (* (/ (cos th) (sqrt 2.0)) a1))
  (log (* (/ (cos th) (sqrt 2.0)) a1))
  (log (* (/ (cos th) (sqrt 2.0)) a1))
  (exp (* (/ (cos th) (sqrt 2.0)) a1))
  (pow (* (/ (cos th) (sqrt 2.0)) a1) 3)
  (pow (* (/ (cos th) (sqrt 2.0)) a1) 3)
  (* (cbrt (* (/ (cos th) (sqrt 2.0)) a1)) (cbrt (* (/ (cos th) (sqrt 2.0)) a1)))
  (cbrt (* (/ (cos th) (sqrt 2.0)) a1))
  (pow (* (/ (cos th) (sqrt 2.0)) a1) 3)
  (sqrt (* (/ (cos th) (sqrt 2.0)) a1))
  (sqrt (* (/ (cos th) (sqrt 2.0)) a1))
  (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt a1))
  (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt a1))
  (* (/ (cos th) (sqrt 2.0)) (* (cbrt a1) (cbrt a1)))
  (* (/ (cos th) (sqrt 2.0)) (sqrt a1))
  (/ (cos th) (sqrt 2.0))
  (* (cbrt (/ (cos th) (sqrt 2.0))) a1)
  (* (sqrt (/ (cos th) (sqrt 2.0))) a1)
  (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) a1)
  (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) a1)
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (cbrt (cos th)) (sqrt 2.0)) a1)
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (cbrt (cos th)) (sqrt 2.0)) a1)
  (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt 2.0)) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt 2.0)) a1)
  (* (/ (cos th) (cbrt (sqrt 2.0))) a1)
  (* (/ (cos th) (sqrt (cbrt 2.0))) a1)
  (* (/ (cos th) (sqrt (sqrt 2.0))) a1)
  (* (/ (cos th) (sqrt 2.0)) a1)
  (* (/ (cos th) (sqrt (sqrt 2.0))) a1)
  (* (/ (cos th) (sqrt 2.0)) a1)
  (* (/ (cos th) (sqrt 2.0)) a1)
  (/ a1 (sqrt 2.0))
  (* (cos th) a1)
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (+ (* (sqrt (/ 1 (sqrt 2.0))) (- (* 1/24 (pow th 4)) (* 1/2 (pow th 2)))) (sqrt (/ 1 (sqrt 2.0))))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (- (/ a1 (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) a1) (sqrt 2.0))))
  (* (/ (cos th) (sqrt 2.0)) a1)
  (* (/ (cos th) (sqrt 2.0)) a1)
2.944 * * * [progress]: adding candidates to table
3.951 * * [progress]: iteration 4 / 4
3.951 * * * [progress]: picking best candidate
3.978 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>
3.979 * * * [progress]: localizing error
3.993 * * * [progress]: generating rewritten candidates
3.993 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
4.009 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
4.015 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2)
4.019 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
4.129 * * * [progress]: generating series expansions
4.129 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
4.131 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
4.131 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
4.131 * [taylor]: Taking taylor expansion of (cos th) in th
4.131 * [taylor]: Taking taylor expansion of th in th
4.131 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.131 * [taylor]: Taking taylor expansion of 2.0 in th
4.132 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
4.133 * [taylor]: Taking taylor expansion of (cos th) in th
4.133 * [taylor]: Taking taylor expansion of th in th
4.133 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.133 * [taylor]: Taking taylor expansion of 2.0 in th
4.152 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
4.152 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
4.152 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.152 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.152 * [taylor]: Taking taylor expansion of th in th
4.152 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.152 * [taylor]: Taking taylor expansion of 2.0 in th
4.153 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
4.153 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.153 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.153 * [taylor]: Taking taylor expansion of th in th
4.153 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.153 * [taylor]: Taking taylor expansion of 2.0 in th
4.177 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
4.177 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
4.177 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.177 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.177 * [taylor]: Taking taylor expansion of -1 in th
4.177 * [taylor]: Taking taylor expansion of th in th
4.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.177 * [taylor]: Taking taylor expansion of 2.0 in th
4.178 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
4.178 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.178 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.178 * [taylor]: Taking taylor expansion of -1 in th
4.179 * [taylor]: Taking taylor expansion of th in th
4.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.179 * [taylor]: Taking taylor expansion of 2.0 in th
4.195 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
4.196 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0
4.196 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
4.196 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
4.196 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
4.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.196 * [taylor]: Taking taylor expansion of 2.0 in th
4.199 * [taylor]: Taking taylor expansion of (cos th) in th
4.199 * [taylor]: Taking taylor expansion of th in th
4.199 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
4.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
4.199 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
4.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.199 * [taylor]: Taking taylor expansion of 2.0 in th
4.202 * [taylor]: Taking taylor expansion of (cos th) in th
4.202 * [taylor]: Taking taylor expansion of th in th
4.229 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0
4.229 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
4.229 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
4.229 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
4.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.229 * [taylor]: Taking taylor expansion of 2.0 in th
4.233 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.233 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.233 * [taylor]: Taking taylor expansion of th in th
4.233 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
4.233 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
4.233 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
4.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.233 * [taylor]: Taking taylor expansion of 2.0 in th
4.236 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.236 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.237 * [taylor]: Taking taylor expansion of th in th
4.261 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0
4.261 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
4.261 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
4.262 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
4.262 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.262 * [taylor]: Taking taylor expansion of 2.0 in th
4.265 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.265 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.265 * [taylor]: Taking taylor expansion of -1 in th
4.265 * [taylor]: Taking taylor expansion of th in th
4.265 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
4.265 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
4.265 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
4.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.265 * [taylor]: Taking taylor expansion of 2.0 in th
4.268 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.268 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.268 * [taylor]: Taking taylor expansion of -1 in th
4.268 * [taylor]: Taking taylor expansion of th in th
4.289 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2)
4.290 * [approximate]: Taking taylor expansion of (/ a1 (sqrt 2.0)) in (a1) around 0
4.290 * [taylor]: Taking taylor expansion of (/ a1 (sqrt 2.0)) in a1
4.290 * [taylor]: Taking taylor expansion of a1 in a1
4.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.290 * [taylor]: Taking taylor expansion of 2.0 in a1
4.291 * [taylor]: Taking taylor expansion of (/ a1 (sqrt 2.0)) in a1
4.291 * [taylor]: Taking taylor expansion of a1 in a1
4.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.291 * [taylor]: Taking taylor expansion of 2.0 in a1
4.301 * [approximate]: Taking taylor expansion of (/ 1 (* a1 (sqrt 2.0))) in (a1) around 0
4.301 * [taylor]: Taking taylor expansion of (/ 1 (* a1 (sqrt 2.0))) in a1
4.301 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1
4.301 * [taylor]: Taking taylor expansion of a1 in a1
4.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.301 * [taylor]: Taking taylor expansion of 2.0 in a1
4.304 * [taylor]: Taking taylor expansion of (/ 1 (* a1 (sqrt 2.0))) in a1
4.304 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1
4.304 * [taylor]: Taking taylor expansion of a1 in a1
4.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.304 * [taylor]: Taking taylor expansion of 2.0 in a1
4.321 * [approximate]: Taking taylor expansion of (/ -1 (* a1 (sqrt 2.0))) in (a1) around 0
4.321 * [taylor]: Taking taylor expansion of (/ -1 (* a1 (sqrt 2.0))) in a1
4.321 * [taylor]: Taking taylor expansion of -1 in a1
4.321 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1
4.321 * [taylor]: Taking taylor expansion of a1 in a1
4.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.321 * [taylor]: Taking taylor expansion of 2.0 in a1
4.329 * [taylor]: Taking taylor expansion of (/ -1 (* a1 (sqrt 2.0))) in a1
4.329 * [taylor]: Taking taylor expansion of -1 in a1
4.329 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1
4.329 * [taylor]: Taking taylor expansion of a1 in a1
4.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.329 * [taylor]: Taking taylor expansion of 2.0 in a1
4.346 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
4.347 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0
4.347 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
4.347 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
4.347 * [taylor]: Taking taylor expansion of (cos th) in a2
4.347 * [taylor]: Taking taylor expansion of th in a2
4.347 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.347 * [taylor]: Taking taylor expansion of a2 in a2
4.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.347 * [taylor]: Taking taylor expansion of 2.0 in a2
4.349 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th
4.349 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th
4.349 * [taylor]: Taking taylor expansion of (cos th) in th
4.349 * [taylor]: Taking taylor expansion of th in th
4.349 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.349 * [taylor]: Taking taylor expansion of a2 in th
4.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.349 * [taylor]: Taking taylor expansion of 2.0 in th
4.350 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th
4.350 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th
4.350 * [taylor]: Taking taylor expansion of (cos th) in th
4.350 * [taylor]: Taking taylor expansion of th in th
4.350 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.350 * [taylor]: Taking taylor expansion of a2 in th
4.350 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.350 * [taylor]: Taking taylor expansion of 2.0 in th
4.352 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
4.352 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.352 * [taylor]: Taking taylor expansion of a2 in a2
4.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.352 * [taylor]: Taking taylor expansion of 2.0 in a2
4.355 * [taylor]: Taking taylor expansion of 0 in a2
4.360 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2
4.360 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2
4.360 * [taylor]: Taking taylor expansion of 1/2 in a2
4.360 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
4.360 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.360 * [taylor]: Taking taylor expansion of a2 in a2
4.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.360 * [taylor]: Taking taylor expansion of 2.0 in a2
4.371 * [taylor]: Taking taylor expansion of 0 in a2
4.378 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0
4.378 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
4.378 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.378 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.378 * [taylor]: Taking taylor expansion of th in a2
4.378 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
4.378 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.378 * [taylor]: Taking taylor expansion of 2.0 in a2
4.379 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.379 * [taylor]: Taking taylor expansion of a2 in a2
4.380 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th
4.380 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.380 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.380 * [taylor]: Taking taylor expansion of th in th
4.381 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
4.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.381 * [taylor]: Taking taylor expansion of 2.0 in th
4.381 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.381 * [taylor]: Taking taylor expansion of a2 in th
4.383 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th
4.383 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.383 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.383 * [taylor]: Taking taylor expansion of th in th
4.383 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
4.383 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.383 * [taylor]: Taking taylor expansion of 2.0 in th
4.384 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.384 * [taylor]: Taking taylor expansion of a2 in th
4.384 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
4.384 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.384 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.384 * [taylor]: Taking taylor expansion of th in a2
4.385 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
4.385 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.385 * [taylor]: Taking taylor expansion of 2.0 in a2
4.385 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.385 * [taylor]: Taking taylor expansion of a2 in a2
4.388 * [taylor]: Taking taylor expansion of 0 in a2
4.395 * [taylor]: Taking taylor expansion of 0 in a2
4.403 * [taylor]: Taking taylor expansion of 0 in a2
4.420 * [taylor]: Taking taylor expansion of 0 in a2
4.421 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0
4.421 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
4.421 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.421 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.421 * [taylor]: Taking taylor expansion of -1 in a2
4.421 * [taylor]: Taking taylor expansion of th in a2
4.421 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
4.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.421 * [taylor]: Taking taylor expansion of 2.0 in a2
4.422 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.422 * [taylor]: Taking taylor expansion of a2 in a2
4.424 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th
4.424 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.424 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.424 * [taylor]: Taking taylor expansion of -1 in th
4.424 * [taylor]: Taking taylor expansion of th in th
4.424 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
4.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.424 * [taylor]: Taking taylor expansion of 2.0 in th
4.425 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.425 * [taylor]: Taking taylor expansion of a2 in th
4.425 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th
4.425 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.425 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.425 * [taylor]: Taking taylor expansion of -1 in th
4.426 * [taylor]: Taking taylor expansion of th in th
4.426 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
4.426 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.426 * [taylor]: Taking taylor expansion of 2.0 in th
4.427 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.427 * [taylor]: Taking taylor expansion of a2 in th
4.427 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
4.427 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.427 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.427 * [taylor]: Taking taylor expansion of -1 in a2
4.427 * [taylor]: Taking taylor expansion of th in a2
4.427 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
4.428 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.428 * [taylor]: Taking taylor expansion of 2.0 in a2
4.428 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.428 * [taylor]: Taking taylor expansion of a2 in a2
4.431 * [taylor]: Taking taylor expansion of 0 in a2
4.438 * [taylor]: Taking taylor expansion of 0 in a2
4.447 * [taylor]: Taking taylor expansion of 0 in a2
4.458 * [taylor]: Taking taylor expansion of 0 in a2
4.458 * * * [progress]: simplifying candidates
4.471 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (- (- (log (cos th)) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (- (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (log (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (/ (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))
  (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (- (/ (cos th) (sqrt (sqrt 2.0))))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt 1)))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt 1))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) 1)
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 1)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt 1))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) 1)
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1)
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) 1)
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) 1)
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) 1)
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt 1))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
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  (/ a1 (sqrt (sqrt 2.0)))
  (/ 1 (sqrt 1))
  (/ a1 (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ a1 (sqrt (sqrt 2.0)))
  (/ 1 1)
  (/ a1 (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) a1)
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  (/ a1 (sqrt 1))
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  (/ (sqrt 2.0) (cbrt a1))
  (/ (sqrt 2.0) (sqrt a1))
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  (sqrt (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2)))
  (sqrt (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2)))
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  (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a2)
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  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ 1 (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0))))))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (/ a1 (sqrt 2.0))
  (/ a1 (sqrt 2.0))
  (/ a1 (sqrt 2.0))
  (- (/ (pow a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0))))
  (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
  (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
4.504 * * [simplify]: iteration  0 :  1568  enodes  (cost  9843 )
4.526 * * [simplify]: iteration  1 :  5002  enodes  (cost  8682 )
4.559 * [simplify]: Simplified to:
   (- (log (cos th)) (log (sqrt 2.0)))
  (- (log (cos th)) (log (sqrt 2.0)))
  (- (log (cos th)) (log (sqrt 2.0)))
  (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))
  (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (- (/ (cos th) (sqrt (sqrt 2.0))))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (fabs (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (fabs (cbrt (sqrt 2.0))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (fabs (cbrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (fabs (cbrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
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  (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
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  (/ (* (pow a2 2) (sqrt (cos th))) (sqrt (sqrt 2.0)))
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  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (sqrt (cos th)) (sqrt 2.0)))
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  (/ (* (pow a2 2) (sqrt (cos th))) (sqrt (sqrt 2.0)))
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  (/ (* (pow a2 2) (sqrt (cos th))) (sqrt (sqrt 2.0)))
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  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (sqrt (cos th)) (sqrt 2.0)))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (sqrt (cos th)) (sqrt 2.0)))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (sqrt (cos th)) (sqrt 2.0)))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (/ (* (pow a2 2) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (/ (* (pow a2 2) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (/ (* (pow a2 2) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (sqrt (cos th)) (sqrt 2.0)))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (sqrt (cos th)) (sqrt 2.0)))
  (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (sqrt (cos th)) (sqrt 2.0)))
  (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (/ (* (pow a2 2) (cos th)) (cbrt (sqrt 2.0)))
  (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (/ (* (pow a2 2) (cos th)) (sqrt (cbrt 2.0)))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (cos th) (sqrt 2.0)))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (cos th) (sqrt 2.0)))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (cos th) (sqrt 2.0)))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (cos th) (sqrt 2.0)))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (cos th) (sqrt 2.0)))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (cos th) (sqrt 2.0)))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (cos th) (sqrt 2.0)))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (cos th) (sqrt 2.0)))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (cos th) (sqrt 2.0)))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (cos th) (sqrt 2.0)))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (cos th) (sqrt 2.0)))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (pow a2 2) (/ (cos th) (sqrt 2.0)))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (/ (pow a2 2) (sqrt 2.0))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (/ (pow a2 2) (sqrt 2.0))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))
  (/ (pow a2 2) (sqrt 2.0))
  (* (pow a2 2) (/ (cos th) (sqrt 2.0)))
  (/ (pow a2 2) (sqrt (sqrt 2.0)))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0))))))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (/ a1 (sqrt 2.0))
  (/ a1 (sqrt 2.0))
  (/ a1 (sqrt 2.0))
  (- (/ (pow a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0))))
  (* (pow a2 2) (/ (cos th) (sqrt 2.0)))
  (* (pow a2 2) (/ (cos th) (sqrt 2.0)))
4.565 * * * [progress]: adding candidates to table
6.210 * [progress]: [Phase 3 of 3] Extracting.
6.210 * * [regime]: Finding splitpoints for: (#<alt (λ (a1 a2 th) (+ (* (cos th) (/ (pow a1 2) (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (/ (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (sqrt (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* (/ 1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ 1 (/ (sqrt 2.0) a1))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
6.212 * * * [regime-changes]: Trying 6 branch expressions: ((* a2 a2) (* a1 a1) (cos th) th a2 a1)
6.212 * * * * [regimes]: Trying to branch on (* a2 a2) from (#<alt (λ (a1 a2 th) (+ (* (cos th) (/ (pow a1 2) (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (/ (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (sqrt (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* (/ 1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ 1 (/ (sqrt 2.0) a1))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
6.244 * * * * [regimes]: Trying to branch on (* a1 a1) from (#<alt (λ (a1 a2 th) (+ (* (cos th) (/ (pow a1 2) (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (/ (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (sqrt (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* (/ 1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ 1 (/ (sqrt 2.0) a1))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
6.273 * * * * [regimes]: Trying to branch on (* a1 a1) from (#<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
6.289 * * * * [regimes]: Trying to branch on (cos th) from (#<alt (λ (a1 a2 th) (+ (* (cos th) (/ (pow a1 2) (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (/ (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (sqrt (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* (/ 1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ 1 (/ (sqrt 2.0) a1))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
6.323 * * * * [regimes]: Trying to branch on th from (#<alt (λ (a1 a2 th) (+ (* (cos th) (/ (pow a1 2) (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (/ (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (sqrt (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* (/ 1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ 1 (/ (sqrt 2.0) a1))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
6.353 * * * * [regimes]: Trying to branch on a2 from (#<alt (λ (a1 a2 th) (+ (* (cos th) (/ (pow a1 2) (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (/ (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (sqrt (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* (/ 1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ 1 (/ (sqrt 2.0) a1))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
6.386 * * * * [regimes]: Trying to branch on a1 from (#<alt (λ (a1 a2 th) (+ (* (cos th) (/ (pow a1 2) (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (/ (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (sqrt (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* (/ 1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ 1 (/ (sqrt 2.0) a1))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
6.418 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
6.418 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))))
6.419 * * [simplify]: iteration  0 :  26  enodes  (cost  21 )
6.419 * * [simplify]: iteration  1 :  26  enodes  (cost  21 )
6.419 * [simplify]: Simplified to:
   (+ (* (* (cos th) (/ a1 (sqrt 2.0))) a1) (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2))))
8.993 * [regime-testing]: Baseline error score: 0.48148650458579134
8.994 * [regime-testing]: Oracle error score: 0.059632454056757093
8.995 * [regime-testing]: End program error score: 0.48148650458579134