14.374 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.074 * * * [progress]: [2/2] Setting up program. 0.077 * [progress]: [Phase 2 of 3] Improving. 0.077 * [simplify]: Simplifying using # : (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) 0.080 * * [simplify]: iteration 0 : 25 enodes (cost 7 ) 0.081 * * [simplify]: iteration 1 : 50 enodes (cost 7 ) 0.083 * * [simplify]: iteration 2 : 77 enodes (cost 7 ) 0.085 * * [simplify]: iteration 3 : 96 enodes (cost 7 ) 0.087 * * [simplify]: iteration 4 : 112 enodes (cost 7 ) 0.089 * * [simplify]: iteration 5 : 127 enodes (cost 7 ) 0.091 * * [simplify]: iteration 6 : 141 enodes (cost 7 ) 0.093 * * [simplify]: iteration 7 : 141 enodes (cost 7 ) 0.093 * [simplify]: Simplified to: (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) 0.096 * * [progress]: iteration 1 / 4 0.096 * * * [progress]: picking best candidate 0.101 * * * * [pick]: Picked # 0.101 * * * [progress]: localizing error 0.113 * * * [progress]: generating rewritten candidates 0.113 * * * * [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 2) 0.137 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.153 * * * [progress]: generating series expansions 0.153 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.154 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 0.154 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.154 * [taylor]: Taking taylor expansion of (cos th) in th 0.154 * [taylor]: Taking taylor expansion of th in th 0.154 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.154 * [taylor]: Taking taylor expansion of 2.0 in th 0.155 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.155 * [taylor]: Taking taylor expansion of (cos th) in th 0.155 * [taylor]: Taking taylor expansion of th in th 0.155 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.155 * [taylor]: Taking taylor expansion of 2.0 in th 0.176 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 0.176 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.176 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.176 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.177 * [taylor]: Taking taylor expansion of th in th 0.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.177 * [taylor]: Taking taylor expansion of 2.0 in th 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 0.195 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 0.195 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.195 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.195 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.195 * [taylor]: Taking taylor expansion of -1 in th 0.195 * [taylor]: Taking taylor expansion of th in th 0.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.195 * [taylor]: Taking taylor expansion of 2.0 in th 0.196 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.196 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.196 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.196 * [taylor]: Taking taylor expansion of -1 in th 0.196 * [taylor]: Taking taylor expansion of th in th 0.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.196 * [taylor]: Taking taylor expansion of 2.0 in th 0.218 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.218 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 0.218 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.218 * [taylor]: Taking taylor expansion of (cos th) in th 0.218 * [taylor]: Taking taylor expansion of th in th 0.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.218 * [taylor]: Taking taylor expansion of 2.0 in th 0.219 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.219 * [taylor]: Taking taylor expansion of (cos th) in th 0.219 * [taylor]: Taking taylor expansion of th in th 0.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.219 * [taylor]: Taking taylor expansion of 2.0 in th 0.238 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 0.238 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.238 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.238 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.238 * [taylor]: Taking taylor expansion of th in th 0.238 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.238 * [taylor]: Taking taylor expansion of 2.0 in th 0.239 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.239 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.239 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.239 * [taylor]: Taking taylor expansion of th in th 0.239 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.239 * [taylor]: Taking taylor expansion of 2.0 in th 0.256 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 0.256 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.256 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.256 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.256 * [taylor]: Taking taylor expansion of -1 in th 0.256 * [taylor]: Taking taylor expansion of th in th 0.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.256 * [taylor]: Taking taylor expansion of 2.0 in th 0.257 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.257 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.257 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.257 * [taylor]: Taking taylor expansion of -1 in th 0.257 * [taylor]: Taking taylor expansion of th in th 0.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.257 * [taylor]: Taking taylor expansion of 2.0 in th 0.274 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.274 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0 0.274 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2 0.274 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 0.274 * [taylor]: Taking taylor expansion of (cos th) in a2 0.274 * [taylor]: Taking taylor expansion of th in a2 0.275 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.275 * [taylor]: Taking taylor expansion of a2 in a2 0.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.275 * [taylor]: Taking taylor expansion of 2.0 in a2 0.276 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 0.276 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 0.276 * [taylor]: Taking taylor expansion of (cos th) in th 0.276 * [taylor]: Taking taylor expansion of th in th 0.276 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.276 * [taylor]: Taking taylor expansion of a2 in th 0.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.276 * [taylor]: Taking taylor expansion of 2.0 in th 0.277 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 0.278 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) 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 (pow a2 2) in th 0.278 * [taylor]: Taking taylor expansion of a2 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 0.279 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 0.279 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.279 * [taylor]: Taking taylor expansion of a2 in a2 0.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.279 * [taylor]: Taking taylor expansion of 2.0 in a2 0.282 * [taylor]: Taking taylor expansion of 0 in a2 0.287 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2 0.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2 0.287 * [taylor]: Taking taylor expansion of 1/2 in a2 0.287 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 0.287 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.287 * [taylor]: Taking taylor expansion of a2 in a2 0.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.287 * [taylor]: Taking taylor expansion of 2.0 in a2 0.303 * [taylor]: Taking taylor expansion of 0 in a2 0.309 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 0.309 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.309 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 0.309 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 0.309 * [taylor]: Taking taylor expansion of th in a2 0.310 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.310 * [taylor]: Taking taylor expansion of 2.0 in a2 0.310 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.310 * [taylor]: Taking taylor expansion of a2 in a2 0.312 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 0.312 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.312 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.312 * [taylor]: Taking taylor expansion of th in th 0.312 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 0.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.312 * [taylor]: Taking taylor expansion of 2.0 in th 0.313 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.313 * [taylor]: Taking taylor expansion of a2 in th 0.314 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 0.314 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.314 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.314 * [taylor]: Taking taylor expansion of th in th 0.314 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 0.314 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.314 * [taylor]: Taking taylor expansion of 2.0 in th 0.315 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.315 * [taylor]: Taking taylor expansion of a2 in th 0.316 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.316 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 0.316 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 0.316 * [taylor]: Taking taylor expansion of th in a2 0.316 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.316 * [taylor]: Taking taylor expansion of 2.0 in a2 0.317 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.317 * [taylor]: Taking taylor expansion of a2 in a2 0.320 * [taylor]: Taking taylor expansion of 0 in a2 0.327 * [taylor]: Taking taylor expansion of 0 in a2 0.336 * [taylor]: Taking taylor expansion of 0 in a2 0.347 * [taylor]: Taking taylor expansion of 0 in a2 0.347 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 0.347 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.348 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 0.348 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 0.348 * [taylor]: Taking taylor expansion of -1 in a2 0.348 * [taylor]: Taking taylor expansion of th in a2 0.348 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.348 * [taylor]: Taking taylor expansion of 2.0 in a2 0.348 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.348 * [taylor]: Taking taylor expansion of a2 in a2 0.350 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 0.350 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.350 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.350 * [taylor]: Taking taylor expansion of -1 in th 0.350 * [taylor]: Taking taylor expansion of th in th 0.350 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 0.350 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.350 * [taylor]: Taking taylor expansion of 2.0 in th 0.351 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.351 * [taylor]: Taking taylor expansion of a2 in th 0.352 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) 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 (* (sqrt 2.0) (pow a2 2)) 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 (pow a2 2) in th 0.353 * [taylor]: Taking taylor expansion of a2 in th 0.354 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.354 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 0.354 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 0.354 * [taylor]: Taking taylor expansion of -1 in a2 0.354 * [taylor]: Taking taylor expansion of th in a2 0.354 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.354 * [taylor]: Taking taylor expansion of 2.0 in a2 0.355 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.355 * [taylor]: Taking taylor expansion of a2 in a2 0.358 * [taylor]: Taking taylor expansion of 0 in a2 0.365 * [taylor]: Taking taylor expansion of 0 in a2 0.374 * [taylor]: Taking taylor expansion of 0 in a2 0.389 * [taylor]: Taking taylor expansion of 0 in a2 0.390 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.390 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in (th a1) around 0 0.390 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1 0.390 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1 0.390 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.390 * [taylor]: Taking taylor expansion of a1 in a1 0.390 * [taylor]: Taking taylor expansion of (cos th) in a1 0.390 * [taylor]: Taking taylor expansion of th in a1 0.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.390 * [taylor]: Taking taylor expansion of 2.0 in a1 0.392 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th 0.392 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 0.392 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.392 * [taylor]: Taking taylor expansion of a1 in th 0.392 * [taylor]: Taking taylor expansion of (cos th) in th 0.392 * [taylor]: Taking taylor expansion of th in th 0.392 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.392 * [taylor]: Taking taylor expansion of 2.0 in th 0.393 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th 0.393 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 0.393 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.393 * [taylor]: Taking taylor expansion of a1 in th 0.393 * [taylor]: Taking taylor expansion of (cos th) in th 0.393 * [taylor]: Taking taylor expansion of th in th 0.393 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.394 * [taylor]: Taking taylor expansion of 2.0 in th 0.395 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 0.395 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.395 * [taylor]: Taking taylor expansion of a1 in a1 0.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.395 * [taylor]: Taking taylor expansion of 2.0 in a1 0.399 * [taylor]: Taking taylor expansion of 0 in a1 0.403 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) in a1 0.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1 0.403 * [taylor]: Taking taylor expansion of 1/2 in a1 0.403 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 0.403 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.403 * [taylor]: Taking taylor expansion of a1 in a1 0.403 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.403 * [taylor]: Taking taylor expansion of 2.0 in a1 0.415 * [taylor]: Taking taylor expansion of 0 in a1 0.421 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0 0.421 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.421 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 0.421 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 0.421 * [taylor]: Taking taylor expansion of th in a1 0.421 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.421 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.421 * [taylor]: Taking taylor expansion of a1 in a1 0.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.421 * [taylor]: Taking taylor expansion of 2.0 in a1 0.423 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.423 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.423 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.423 * [taylor]: Taking taylor expansion of th in th 0.424 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.424 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.424 * [taylor]: Taking taylor expansion of a1 in th 0.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.424 * [taylor]: Taking taylor expansion of 2.0 in th 0.425 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.425 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.425 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.425 * [taylor]: Taking taylor expansion of th in th 0.426 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.426 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.426 * [taylor]: Taking taylor expansion of a1 in th 0.426 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.426 * [taylor]: Taking taylor expansion of 2.0 in th 0.427 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.427 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 0.427 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 0.427 * [taylor]: Taking taylor expansion of th in a1 0.427 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.427 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.427 * [taylor]: Taking taylor expansion of a1 in a1 0.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.427 * [taylor]: Taking taylor expansion of 2.0 in a1 0.432 * [taylor]: Taking taylor expansion of 0 in a1 0.438 * [taylor]: Taking taylor expansion of 0 in a1 0.447 * [taylor]: Taking taylor expansion of 0 in a1 0.458 * [taylor]: Taking taylor expansion of 0 in a1 0.459 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0 0.459 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.459 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 0.459 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 0.459 * [taylor]: Taking taylor expansion of -1 in a1 0.459 * [taylor]: Taking taylor expansion of th in a1 0.459 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.459 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.459 * [taylor]: Taking taylor expansion of a1 in a1 0.459 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.459 * [taylor]: Taking taylor expansion of 2.0 in a1 0.461 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) 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 0.461 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.461 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.461 * [taylor]: Taking taylor expansion of a1 in th 0.461 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.461 * [taylor]: Taking taylor expansion of 2.0 in th 0.463 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) 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 0.463 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.463 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.463 * [taylor]: Taking taylor expansion of a1 in th 0.463 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.463 * [taylor]: Taking taylor expansion of 2.0 in th 0.465 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.465 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 0.465 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 0.465 * [taylor]: Taking taylor expansion of -1 in a1 0.465 * [taylor]: Taking taylor expansion of th in a1 0.465 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.465 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.465 * [taylor]: Taking taylor expansion of a1 in a1 0.465 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.465 * [taylor]: Taking taylor expansion of 2.0 in a1 0.469 * [taylor]: Taking taylor expansion of 0 in a1 0.480 * [taylor]: Taking taylor expansion of 0 in a1 0.489 * [taylor]: Taking taylor expansion of 0 in a1 0.499 * [taylor]: Taking taylor expansion of 0 in a1 0.500 * * * [progress]: simplifying candidates 0.502 * [simplify]: Simplifying using # : (- (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)) (* 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)) (* (/ (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)) (- (+ (/ 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 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)) (- (/ (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)) 0.509 * * [simplify]: iteration 0 : 504 enodes (cost 1284 ) 0.518 * * [simplify]: iteration 1 : 2009 enodes (cost 1156 ) 0.544 * * [simplify]: iteration 2 : 5001 enodes (cost 1136 ) 0.550 * [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)) (* 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)) (* (/ (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)) (- (/ (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)) (- (/ (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)) 0.551 * * * [progress]: adding candidates to table 1.016 * * [progress]: iteration 2 / 4 1.016 * * * [progress]: picking best candidate 1.045 * * * * [pick]: Picked # 1.045 * * * [progress]: localizing error 1.057 * * * [progress]: generating rewritten candidates 1.057 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.061 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.066 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.078 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.093 * * * [progress]: generating series expansions 1.093 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.094 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 1.094 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 1.094 * [taylor]: Taking taylor expansion of (cos th) in th 1.094 * [taylor]: Taking taylor expansion of th in th 1.094 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.094 * [taylor]: Taking taylor expansion of 2.0 in th 1.095 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 1.095 * [taylor]: Taking taylor expansion of (cos th) in th 1.096 * [taylor]: Taking taylor expansion of th in th 1.096 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.096 * [taylor]: Taking taylor expansion of 2.0 in th 1.115 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 1.115 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 1.115 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.115 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.115 * [taylor]: Taking taylor expansion of th in th 1.115 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.115 * [taylor]: Taking taylor expansion of 2.0 in th 1.116 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 1.116 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.116 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.116 * [taylor]: Taking taylor expansion of th in th 1.117 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.117 * [taylor]: Taking taylor expansion of 2.0 in th 1.133 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 1.133 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 1.133 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.133 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.133 * [taylor]: Taking taylor expansion of -1 in th 1.133 * [taylor]: Taking taylor expansion of th in th 1.133 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.133 * [taylor]: Taking taylor expansion of 2.0 in th 1.134 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 1.134 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.134 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.134 * [taylor]: Taking taylor expansion of -1 in th 1.134 * [taylor]: Taking taylor expansion of th in th 1.135 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.135 * [taylor]: Taking taylor expansion of 2.0 in th 1.156 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.156 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 1.157 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 1.157 * [taylor]: Taking taylor expansion of (cos th) in th 1.157 * [taylor]: Taking taylor expansion of th in th 1.157 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.157 * [taylor]: Taking taylor expansion of 2.0 in th 1.158 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 1.158 * [taylor]: Taking taylor expansion of (cos th) in th 1.158 * [taylor]: Taking taylor expansion of th in th 1.158 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.158 * [taylor]: Taking taylor expansion of 2.0 in th 1.176 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 1.176 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 1.176 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.176 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.176 * [taylor]: Taking taylor expansion of th in th 1.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.177 * [taylor]: Taking taylor expansion of 2.0 in th 1.178 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 1.178 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.178 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.178 * [taylor]: Taking taylor expansion of th in th 1.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.178 * [taylor]: Taking taylor expansion of 2.0 in th 1.195 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 1.195 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 1.195 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.195 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.195 * [taylor]: Taking taylor expansion of -1 in th 1.195 * [taylor]: Taking taylor expansion of th in th 1.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.195 * [taylor]: Taking taylor expansion of 2.0 in th 1.196 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 1.196 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.196 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.196 * [taylor]: Taking taylor expansion of -1 in th 1.196 * [taylor]: Taking taylor expansion of th in th 1.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.197 * [taylor]: Taking taylor expansion of 2.0 in th 1.213 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.213 * [approximate]: Taking taylor expansion of (/ (* a1 (cos th)) (sqrt 2.0)) in (th a1) around 0 1.213 * [taylor]: Taking taylor expansion of (/ (* a1 (cos th)) (sqrt 2.0)) in a1 1.214 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in a1 1.214 * [taylor]: Taking taylor expansion of a1 in a1 1.214 * [taylor]: Taking taylor expansion of (cos th) in a1 1.214 * [taylor]: Taking taylor expansion of th in a1 1.214 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 1.214 * [taylor]: Taking taylor expansion of 2.0 in a1 1.217 * [taylor]: Taking taylor expansion of (/ (* a1 (cos th)) (sqrt 2.0)) in th 1.217 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in th 1.217 * [taylor]: Taking taylor expansion of a1 in th 1.217 * [taylor]: Taking taylor expansion of (cos th) in th 1.217 * [taylor]: Taking taylor expansion of th in th 1.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.217 * [taylor]: Taking taylor expansion of 2.0 in th 1.218 * [taylor]: Taking taylor expansion of (/ (* a1 (cos th)) (sqrt 2.0)) in th 1.218 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in th 1.218 * [taylor]: Taking taylor expansion of a1 in th 1.218 * [taylor]: Taking taylor expansion of (cos th) in th 1.218 * [taylor]: Taking taylor expansion of th in th 1.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.218 * [taylor]: Taking taylor expansion of 2.0 in th 1.219 * [taylor]: Taking taylor expansion of (/ a1 (sqrt 2.0)) in a1 1.219 * [taylor]: Taking taylor expansion of a1 in a1 1.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 1.219 * [taylor]: Taking taylor expansion of 2.0 in a1 1.222 * [taylor]: Taking taylor expansion of 0 in a1 1.226 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ a1 (sqrt 2.0)))) in a1 1.226 * [taylor]: Taking taylor expansion of (* 1/2 (/ a1 (sqrt 2.0))) in a1 1.226 * [taylor]: Taking taylor expansion of 1/2 in a1 1.226 * [taylor]: Taking taylor expansion of (/ a1 (sqrt 2.0)) in a1 1.226 * [taylor]: Taking taylor expansion of a1 in a1 1.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 1.226 * [taylor]: Taking taylor expansion of 2.0 in a1 1.235 * [taylor]: Taking taylor expansion of 0 in a1 1.246 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in (th a1) around 0 1.246 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in a1 1.246 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 1.246 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 1.246 * [taylor]: Taking taylor expansion of th in a1 1.246 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1 1.246 * [taylor]: Taking taylor expansion of a1 in a1 1.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 1.246 * [taylor]: Taking taylor expansion of 2.0 in a1 1.249 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in th 1.249 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.249 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.249 * [taylor]: Taking taylor expansion of th in th 1.249 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in th 1.249 * [taylor]: Taking taylor expansion of a1 in th 1.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.249 * [taylor]: Taking taylor expansion of 2.0 in th 1.251 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in th 1.251 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.251 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.251 * [taylor]: Taking taylor expansion of th in th 1.251 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in th 1.251 * [taylor]: Taking taylor expansion of a1 in th 1.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.251 * [taylor]: Taking taylor expansion of 2.0 in th 1.252 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in a1 1.252 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 1.252 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 1.252 * [taylor]: Taking taylor expansion of th in a1 1.252 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1 1.252 * [taylor]: Taking taylor expansion of a1 in a1 1.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 1.252 * [taylor]: Taking taylor expansion of 2.0 in a1 1.257 * [taylor]: Taking taylor expansion of 0 in a1 1.263 * [taylor]: Taking taylor expansion of 0 in a1 1.270 * [taylor]: Taking taylor expansion of 0 in a1 1.277 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in (th a1) around 0 1.277 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in a1 1.277 * [taylor]: Taking taylor expansion of -1 in a1 1.277 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2.0))) in a1 1.277 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 1.277 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 1.277 * [taylor]: Taking taylor expansion of -1 in a1 1.277 * [taylor]: Taking taylor expansion of th in a1 1.277 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1 1.277 * [taylor]: Taking taylor expansion of a1 in a1 1.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 1.277 * [taylor]: Taking taylor expansion of 2.0 in a1 1.280 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in th 1.280 * [taylor]: Taking taylor expansion of -1 in th 1.280 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2.0))) in th 1.280 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.280 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.280 * [taylor]: Taking taylor expansion of -1 in th 1.280 * [taylor]: Taking taylor expansion of th in th 1.280 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in th 1.280 * [taylor]: Taking taylor expansion of a1 in th 1.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.281 * [taylor]: Taking taylor expansion of 2.0 in th 1.282 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in th 1.282 * [taylor]: Taking taylor expansion of -1 in th 1.282 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2.0))) in th 1.282 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.282 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.282 * [taylor]: Taking taylor expansion of -1 in th 1.282 * [taylor]: Taking taylor expansion of th in th 1.282 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in th 1.282 * [taylor]: Taking taylor expansion of a1 in th 1.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.282 * [taylor]: Taking taylor expansion of 2.0 in th 1.284 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in a1 1.284 * [taylor]: Taking taylor expansion of -1 in a1 1.284 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2.0))) in a1 1.284 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 1.284 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 1.284 * [taylor]: Taking taylor expansion of -1 in a1 1.284 * [taylor]: Taking taylor expansion of th in a1 1.284 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1 1.284 * [taylor]: Taking taylor expansion of a1 in a1 1.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 1.284 * [taylor]: Taking taylor expansion of 2.0 in a1 1.290 * [taylor]: Taking taylor expansion of 0 in a1 1.297 * [taylor]: Taking taylor expansion of 0 in a1 1.307 * [taylor]: Taking taylor expansion of 0 in a1 1.314 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.314 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0 1.314 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2 1.314 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 1.314 * [taylor]: Taking taylor expansion of (cos th) in a2 1.314 * [taylor]: Taking taylor expansion of th in a2 1.314 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 1.314 * [taylor]: Taking taylor expansion of a2 in a2 1.314 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 1.314 * [taylor]: Taking taylor expansion of 2.0 in a2 1.316 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 1.316 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 1.316 * [taylor]: Taking taylor expansion of (cos th) in th 1.316 * [taylor]: Taking taylor expansion of th in th 1.316 * [taylor]: Taking taylor expansion of (pow a2 2) in th 1.316 * [taylor]: Taking taylor expansion of a2 in th 1.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.316 * [taylor]: Taking taylor expansion of 2.0 in th 1.317 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 1.317 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 1.317 * [taylor]: Taking taylor expansion of (cos th) in th 1.317 * [taylor]: Taking taylor expansion of th in th 1.317 * [taylor]: Taking taylor expansion of (pow a2 2) in th 1.317 * [taylor]: Taking taylor expansion of a2 in th 1.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.317 * [taylor]: Taking taylor expansion of 2.0 in th 1.318 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 1.318 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 1.318 * [taylor]: Taking taylor expansion of a2 in a2 1.318 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 1.318 * [taylor]: Taking taylor expansion of 2.0 in a2 1.322 * [taylor]: Taking taylor expansion of 0 in a2 1.332 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2 1.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2 1.332 * [taylor]: Taking taylor expansion of 1/2 in a2 1.332 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 1.332 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 1.332 * [taylor]: Taking taylor expansion of a2 in a2 1.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 1.332 * [taylor]: Taking taylor expansion of 2.0 in a2 1.343 * [taylor]: Taking taylor expansion of 0 in a2 1.349 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 1.349 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 1.349 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 1.349 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 1.349 * [taylor]: Taking taylor expansion of th in a2 1.349 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 1.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 1.349 * [taylor]: Taking taylor expansion of 2.0 in a2 1.350 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 1.350 * [taylor]: Taking taylor expansion of a2 in a2 1.352 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 1.352 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.352 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.352 * [taylor]: Taking taylor expansion of th in th 1.352 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 1.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.352 * [taylor]: Taking taylor expansion of 2.0 in th 1.353 * [taylor]: Taking taylor expansion of (pow a2 2) in th 1.353 * [taylor]: Taking taylor expansion of a2 in th 1.354 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 1.354 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.354 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.354 * [taylor]: Taking taylor expansion of th in th 1.354 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 1.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.354 * [taylor]: Taking taylor expansion of 2.0 in th 1.355 * [taylor]: Taking taylor expansion of (pow a2 2) in th 1.355 * [taylor]: Taking taylor expansion of a2 in th 1.356 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 1.356 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 1.356 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 1.356 * [taylor]: Taking taylor expansion of th in a2 1.356 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 1.356 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 1.356 * [taylor]: Taking taylor expansion of 2.0 in a2 1.356 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 1.356 * [taylor]: Taking taylor expansion of a2 in a2 1.360 * [taylor]: Taking taylor expansion of 0 in a2 1.366 * [taylor]: Taking taylor expansion of 0 in a2 1.375 * [taylor]: Taking taylor expansion of 0 in a2 1.387 * [taylor]: Taking taylor expansion of 0 in a2 1.388 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 1.388 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 1.388 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 1.388 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 1.388 * [taylor]: Taking taylor expansion of -1 in a2 1.388 * [taylor]: Taking taylor expansion of th in a2 1.388 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 1.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 1.388 * [taylor]: Taking taylor expansion of 2.0 in a2 1.389 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 1.389 * [taylor]: Taking taylor expansion of a2 in a2 1.390 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 1.390 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.390 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.390 * [taylor]: Taking taylor expansion of -1 in th 1.390 * [taylor]: Taking taylor expansion of th in th 1.391 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 1.391 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.391 * [taylor]: Taking taylor expansion of 2.0 in th 1.391 * [taylor]: Taking taylor expansion of (pow a2 2) in th 1.391 * [taylor]: Taking taylor expansion of a2 in th 1.392 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 1.392 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.392 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.392 * [taylor]: Taking taylor expansion of -1 in th 1.392 * [taylor]: Taking taylor expansion of th in th 1.392 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 1.393 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.393 * [taylor]: Taking taylor expansion of 2.0 in th 1.393 * [taylor]: Taking taylor expansion of (pow a2 2) in th 1.393 * [taylor]: Taking taylor expansion of a2 in th 1.394 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 1.394 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 1.394 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 1.394 * [taylor]: Taking taylor expansion of -1 in a2 1.394 * [taylor]: Taking taylor expansion of th in a2 1.394 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 1.394 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 1.394 * [taylor]: Taking taylor expansion of 2.0 in a2 1.395 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 1.395 * [taylor]: Taking taylor expansion of a2 in a2 1.398 * [taylor]: Taking taylor expansion of 0 in a2 1.405 * [taylor]: Taking taylor expansion of 0 in a2 1.414 * [taylor]: Taking taylor expansion of 0 in a2 1.430 * [taylor]: Taking taylor expansion of 0 in a2 1.431 * * * [progress]: simplifying candidates 1.433 * [simplify]: Simplifying using # : (- (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) (+ (- (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) (* (/ (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)) (- (/ 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)) (- (/ (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)) 1.440 * * [simplify]: iteration 0 : 444 enodes (cost 1207 ) 1.447 * * [simplify]: iteration 1 : 1802 enodes (cost 1104 ) 1.474 * * [simplify]: iteration 2 : 5001 enodes (cost 1084 ) 1.479 * [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) (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) (* (/ (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)) (- (/ 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) (- (/ (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)) 1.480 * * * [progress]: adding candidates to table 1.942 * * [progress]: iteration 3 / 4 1.942 * * * [progress]: picking best candidate 1.974 * * * * [pick]: Picked # 1.974 * * * [progress]: localizing error 1.986 * * * [progress]: generating rewritten candidates 1.986 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.991 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.995 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.004 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.020 * * * [progress]: generating series expansions 2.020 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.021 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 2.021 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 2.021 * [taylor]: Taking taylor expansion of (cos th) in th 2.021 * [taylor]: Taking taylor expansion of th in th 2.021 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.021 * [taylor]: Taking taylor expansion of 2.0 in th 2.022 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 2.022 * [taylor]: Taking taylor expansion of (cos th) in th 2.022 * [taylor]: Taking taylor expansion of th in th 2.022 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.022 * [taylor]: Taking taylor expansion of 2.0 in th 2.046 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 2.046 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 2.046 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.046 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.046 * [taylor]: Taking taylor expansion of th in th 2.046 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.046 * [taylor]: Taking taylor expansion of 2.0 in th 2.047 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 2.047 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.047 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.047 * [taylor]: Taking taylor expansion of th in th 2.048 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.048 * [taylor]: Taking taylor expansion of 2.0 in th 2.065 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 2.065 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 2.065 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.065 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.065 * [taylor]: Taking taylor expansion of -1 in th 2.065 * [taylor]: Taking taylor expansion of th in th 2.065 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.065 * [taylor]: Taking taylor expansion of 2.0 in th 2.066 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 2.066 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.066 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.066 * [taylor]: Taking taylor expansion of -1 in th 2.066 * [taylor]: Taking taylor expansion of th in th 2.067 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.067 * [taylor]: Taking taylor expansion of 2.0 in th 2.083 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 2.083 * [approximate]: Taking taylor expansion of (/ a1 (sqrt 2.0)) in (a1) around 0 2.083 * [taylor]: Taking taylor expansion of (/ a1 (sqrt 2.0)) in a1 2.083 * [taylor]: Taking taylor expansion of a1 in a1 2.083 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.083 * [taylor]: Taking taylor expansion of 2.0 in a1 2.085 * [taylor]: Taking taylor expansion of (/ a1 (sqrt 2.0)) in a1 2.085 * [taylor]: Taking taylor expansion of a1 in a1 2.085 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.085 * [taylor]: Taking taylor expansion of 2.0 in a1 2.095 * [approximate]: Taking taylor expansion of (/ 1 (* a1 (sqrt 2.0))) in (a1) around 0 2.095 * [taylor]: Taking taylor expansion of (/ 1 (* a1 (sqrt 2.0))) in a1 2.095 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1 2.095 * [taylor]: Taking taylor expansion of a1 in a1 2.095 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.095 * [taylor]: Taking taylor expansion of 2.0 in a1 2.098 * [taylor]: Taking taylor expansion of (/ 1 (* a1 (sqrt 2.0))) in a1 2.098 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1 2.098 * [taylor]: Taking taylor expansion of a1 in a1 2.098 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.098 * [taylor]: Taking taylor expansion of 2.0 in a1 2.121 * [approximate]: Taking taylor expansion of (/ -1 (* a1 (sqrt 2.0))) in (a1) around 0 2.121 * [taylor]: Taking taylor expansion of (/ -1 (* a1 (sqrt 2.0))) in a1 2.121 * [taylor]: Taking taylor expansion of -1 in a1 2.121 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1 2.121 * [taylor]: Taking taylor expansion of a1 in a1 2.121 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.121 * [taylor]: Taking taylor expansion of 2.0 in a1 2.124 * [taylor]: Taking taylor expansion of (/ -1 (* a1 (sqrt 2.0))) in a1 2.124 * [taylor]: Taking taylor expansion of -1 in a1 2.124 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1 2.124 * [taylor]: Taking taylor expansion of a1 in a1 2.124 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.124 * [taylor]: Taking taylor expansion of 2.0 in a1 2.141 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.141 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0 2.141 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2 2.141 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 2.141 * [taylor]: Taking taylor expansion of (cos th) in a2 2.141 * [taylor]: Taking taylor expansion of th in a2 2.141 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.141 * [taylor]: Taking taylor expansion of a2 in a2 2.141 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.141 * [taylor]: Taking taylor expansion of 2.0 in a2 2.143 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 2.143 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 2.143 * [taylor]: Taking taylor expansion of (cos th) in th 2.143 * [taylor]: Taking taylor expansion of th in th 2.143 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.143 * [taylor]: Taking taylor expansion of a2 in th 2.143 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.143 * [taylor]: Taking taylor expansion of 2.0 in th 2.144 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 2.144 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 2.144 * [taylor]: Taking taylor expansion of (cos th) in th 2.144 * [taylor]: Taking taylor expansion of th in th 2.144 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.144 * [taylor]: Taking taylor expansion of a2 in th 2.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.144 * [taylor]: Taking taylor expansion of 2.0 in th 2.145 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 2.145 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.145 * [taylor]: Taking taylor expansion of a2 in a2 2.145 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.145 * [taylor]: Taking taylor expansion of 2.0 in a2 2.149 * [taylor]: Taking taylor expansion of 0 in a2 2.154 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2 2.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2 2.154 * [taylor]: Taking taylor expansion of 1/2 in a2 2.154 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 2.154 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.154 * [taylor]: Taking taylor expansion of a2 in a2 2.154 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.154 * [taylor]: Taking taylor expansion of 2.0 in a2 2.165 * [taylor]: Taking taylor expansion of 0 in a2 2.172 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 2.172 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.172 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 2.172 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 2.172 * [taylor]: Taking taylor expansion of th in a2 2.172 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.172 * [taylor]: Taking taylor expansion of 2.0 in a2 2.173 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.173 * [taylor]: Taking taylor expansion of a2 in a2 2.174 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 2.174 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.174 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.174 * [taylor]: Taking taylor expansion of th in th 2.174 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 2.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.174 * [taylor]: Taking taylor expansion of 2.0 in th 2.175 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.175 * [taylor]: Taking taylor expansion of a2 in th 2.176 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 2.176 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.176 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.176 * [taylor]: Taking taylor expansion of th in th 2.176 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 2.176 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.176 * [taylor]: Taking taylor expansion of 2.0 in th 2.177 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.177 * [taylor]: Taking taylor expansion of a2 in th 2.178 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.178 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 2.178 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 2.178 * [taylor]: Taking taylor expansion of th in a2 2.178 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.178 * [taylor]: Taking taylor expansion of 2.0 in a2 2.179 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.179 * [taylor]: Taking taylor expansion of a2 in a2 2.182 * [taylor]: Taking taylor expansion of 0 in a2 2.188 * [taylor]: Taking taylor expansion of 0 in a2 2.197 * [taylor]: Taking taylor expansion of 0 in a2 2.214 * [taylor]: Taking taylor expansion of 0 in a2 2.215 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 2.215 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.215 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 2.215 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 2.215 * [taylor]: Taking taylor expansion of -1 in a2 2.215 * [taylor]: Taking taylor expansion of th in a2 2.215 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.215 * [taylor]: Taking taylor expansion of 2.0 in a2 2.216 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.216 * [taylor]: Taking taylor expansion of a2 in a2 2.217 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 2.217 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.217 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.217 * [taylor]: Taking taylor expansion of -1 in th 2.217 * [taylor]: Taking taylor expansion of th in th 2.218 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 2.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.218 * [taylor]: Taking taylor expansion of 2.0 in th 2.218 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.218 * [taylor]: Taking taylor expansion of a2 in th 2.219 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 2.219 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.219 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.219 * [taylor]: Taking taylor expansion of -1 in th 2.219 * [taylor]: Taking taylor expansion of th in th 2.219 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 2.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.219 * [taylor]: Taking taylor expansion of 2.0 in th 2.220 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.220 * [taylor]: Taking taylor expansion of a2 in th 2.221 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.221 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 2.221 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 2.221 * [taylor]: Taking taylor expansion of -1 in a2 2.221 * [taylor]: Taking taylor expansion of th in a2 2.221 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.221 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.221 * [taylor]: Taking taylor expansion of 2.0 in a2 2.222 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.222 * [taylor]: Taking taylor expansion of a2 in a2 2.225 * [taylor]: Taking taylor expansion of 0 in a2 2.231 * [taylor]: Taking taylor expansion of 0 in a2 2.240 * [taylor]: Taking taylor expansion of 0 in a2 2.251 * [taylor]: Taking taylor expansion of 0 in a2 2.252 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.252 * [approximate]: Taking taylor expansion of (/ (* a1 (cos th)) (sqrt 2.0)) in (th a1) around 0 2.252 * [taylor]: Taking taylor expansion of (/ (* a1 (cos th)) (sqrt 2.0)) in a1 2.252 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in a1 2.252 * [taylor]: Taking taylor expansion of a1 in a1 2.252 * [taylor]: Taking taylor expansion of (cos th) in a1 2.252 * [taylor]: Taking taylor expansion of th in a1 2.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.252 * [taylor]: Taking taylor expansion of 2.0 in a1 2.255 * [taylor]: Taking taylor expansion of (/ (* a1 (cos th)) (sqrt 2.0)) in th 2.255 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in th 2.255 * [taylor]: Taking taylor expansion of a1 in th 2.256 * [taylor]: Taking taylor expansion of (cos th) in th 2.256 * [taylor]: Taking taylor expansion of th in th 2.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.256 * [taylor]: Taking taylor expansion of 2.0 in th 2.256 * [taylor]: Taking taylor expansion of (/ (* a1 (cos th)) (sqrt 2.0)) in th 2.257 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in th 2.257 * [taylor]: Taking taylor expansion of a1 in th 2.257 * [taylor]: Taking taylor expansion of (cos th) in th 2.257 * [taylor]: Taking taylor expansion of th in th 2.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.257 * [taylor]: Taking taylor expansion of 2.0 in th 2.258 * [taylor]: Taking taylor expansion of (/ a1 (sqrt 2.0)) in a1 2.258 * [taylor]: Taking taylor expansion of a1 in a1 2.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.258 * [taylor]: Taking taylor expansion of 2.0 in a1 2.261 * [taylor]: Taking taylor expansion of 0 in a1 2.264 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ a1 (sqrt 2.0)))) in a1 2.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ a1 (sqrt 2.0))) in a1 2.264 * [taylor]: Taking taylor expansion of 1/2 in a1 2.264 * [taylor]: Taking taylor expansion of (/ a1 (sqrt 2.0)) in a1 2.265 * [taylor]: Taking taylor expansion of a1 in a1 2.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.265 * [taylor]: Taking taylor expansion of 2.0 in a1 2.274 * [taylor]: Taking taylor expansion of 0 in a1 2.280 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in (th a1) around 0 2.280 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in a1 2.280 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 2.280 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 2.280 * [taylor]: Taking taylor expansion of th in a1 2.280 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1 2.280 * [taylor]: Taking taylor expansion of a1 in a1 2.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.280 * [taylor]: Taking taylor expansion of 2.0 in a1 2.283 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in th 2.283 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.283 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.283 * [taylor]: Taking taylor expansion of th in th 2.283 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in th 2.283 * [taylor]: Taking taylor expansion of a1 in th 2.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.283 * [taylor]: Taking taylor expansion of 2.0 in th 2.284 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in th 2.284 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.284 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.285 * [taylor]: Taking taylor expansion of th in th 2.285 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in th 2.285 * [taylor]: Taking taylor expansion of a1 in th 2.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.285 * [taylor]: Taking taylor expansion of 2.0 in th 2.286 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in a1 2.286 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 2.286 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 2.286 * [taylor]: Taking taylor expansion of th in a1 2.286 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1 2.286 * [taylor]: Taking taylor expansion of a1 in a1 2.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.286 * [taylor]: Taking taylor expansion of 2.0 in a1 2.296 * [taylor]: Taking taylor expansion of 0 in a1 2.302 * [taylor]: Taking taylor expansion of 0 in a1 2.309 * [taylor]: Taking taylor expansion of 0 in a1 2.316 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in (th a1) around 0 2.316 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in a1 2.316 * [taylor]: Taking taylor expansion of -1 in a1 2.316 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2.0))) in a1 2.316 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 2.316 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 2.316 * [taylor]: Taking taylor expansion of -1 in a1 2.316 * [taylor]: Taking taylor expansion of th in a1 2.316 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1 2.316 * [taylor]: Taking taylor expansion of a1 in a1 2.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.316 * [taylor]: Taking taylor expansion of 2.0 in a1 2.319 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in th 2.319 * [taylor]: Taking taylor expansion of -1 in th 2.319 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2.0))) in th 2.319 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.319 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.319 * [taylor]: Taking taylor expansion of -1 in th 2.319 * [taylor]: Taking taylor expansion of th in th 2.319 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in th 2.319 * [taylor]: Taking taylor expansion of a1 in th 2.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.319 * [taylor]: Taking taylor expansion of 2.0 in th 2.321 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in th 2.321 * [taylor]: Taking taylor expansion of -1 in th 2.321 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2.0))) in th 2.321 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.321 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.321 * [taylor]: Taking taylor expansion of -1 in th 2.321 * [taylor]: Taking taylor expansion of th in th 2.321 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in th 2.321 * [taylor]: Taking taylor expansion of a1 in th 2.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.321 * [taylor]: Taking taylor expansion of 2.0 in th 2.323 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in a1 2.323 * [taylor]: Taking taylor expansion of -1 in a1 2.323 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2.0))) in a1 2.323 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 2.323 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 2.323 * [taylor]: Taking taylor expansion of -1 in a1 2.323 * [taylor]: Taking taylor expansion of th in a1 2.323 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1 2.323 * [taylor]: Taking taylor expansion of a1 in a1 2.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.323 * [taylor]: Taking taylor expansion of 2.0 in a1 2.328 * [taylor]: Taking taylor expansion of 0 in a1 2.335 * [taylor]: Taking taylor expansion of 0 in a1 2.345 * [taylor]: Taking taylor expansion of 0 in a1 2.352 * * * [progress]: simplifying candidates 2.354 * [simplify]: Simplifying using # : (- (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 a1) (log (sqrt 2.0))) (log (/ a1 (sqrt 2.0))) (exp (/ a1 (sqrt 2.0))) (/ (* (* a1 a1) a1) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (/ a1 (sqrt 2.0))) (cbrt (/ a1 (sqrt 2.0)))) (cbrt (/ a1 (sqrt 2.0))) (* (* (/ a1 (sqrt 2.0)) (/ a1 (sqrt 2.0))) (/ a1 (sqrt 2.0))) (sqrt (/ a1 (sqrt 2.0))) (sqrt (/ a1 (sqrt 2.0))) (- a1) (- (sqrt 2.0)) (/ (* (cbrt a1) (cbrt a1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt a1) (cbrt (sqrt 2.0))) (/ (* (cbrt a1) (cbrt a1)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt a1) (sqrt (cbrt 2.0))) (/ (* (cbrt a1) (cbrt a1)) (sqrt (sqrt 2.0))) (/ (cbrt a1) (sqrt (sqrt 2.0))) (/ (* (cbrt a1) (cbrt a1)) (sqrt 1)) (/ (cbrt a1) (sqrt 2.0)) (/ (* (cbrt a1) (cbrt a1)) (sqrt (sqrt 2.0))) (/ (cbrt a1) (sqrt (sqrt 2.0))) (/ (* (cbrt a1) (cbrt a1)) 1) (/ (cbrt a1) (sqrt 2.0)) (/ (sqrt a1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt a1) (cbrt (sqrt 2.0))) (/ (sqrt a1) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt a1) (sqrt (cbrt 2.0))) (/ (sqrt a1) (sqrt (sqrt 2.0))) (/ (sqrt a1) (sqrt (sqrt 2.0))) (/ (sqrt a1) (sqrt 1)) (/ (sqrt a1) (sqrt 2.0)) (/ (sqrt a1) (sqrt (sqrt 2.0))) (/ (sqrt a1) (sqrt (sqrt 2.0))) (/ (sqrt a1) 1) (/ (sqrt a1) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ a1 (cbrt (sqrt 2.0))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ a1 (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ 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) (/ a1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ a1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ a1 (sqrt (sqrt 2.0))) (/ a1 (sqrt 1)) (/ a1 (sqrt (sqrt 2.0))) (/ a1 1) (/ (sqrt 2.0) (cbrt a1)) (/ (sqrt 2.0) (sqrt a1)) (/ (sqrt 2.0) 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)) (* (cos th) (/ a1 (sqrt 2.0))) (+ (log (cos th)) (- (log a1) (log (sqrt 2.0)))) (+ (log (cos th)) (log (/ a1 (sqrt 2.0)))) (log (* (cos th) (/ a1 (sqrt 2.0)))) (exp (* (cos th) (/ a1 (sqrt 2.0)))) (* (* (* (cos th) (cos th)) (cos th)) (/ (* (* a1 a1) a1) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))) (* (* (* (cos th) (cos th)) (cos th)) (* (* (/ a1 (sqrt 2.0)) (/ a1 (sqrt 2.0))) (/ a1 (sqrt 2.0)))) (* (cbrt (* (cos th) (/ a1 (sqrt 2.0)))) (cbrt (* (cos th) (/ a1 (sqrt 2.0))))) (cbrt (* (cos th) (/ a1 (sqrt 2.0)))) (* (* (* (cos th) (/ a1 (sqrt 2.0))) (* (cos th) (/ a1 (sqrt 2.0)))) (* (cos th) (/ a1 (sqrt 2.0)))) (sqrt (* (cos th) (/ a1 (sqrt 2.0)))) (sqrt (* (cos th) (/ a1 (sqrt 2.0)))) (* (sqrt (cos th)) (sqrt (/ a1 (sqrt 2.0)))) (* (sqrt (cos th)) (sqrt (/ a1 (sqrt 2.0)))) (* (sqrt (cos th)) (/ (sqrt a1) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (sqrt a1) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (sqrt a1) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (sqrt a1) (sqrt (sqrt 2.0)))) (* (cos th) (* (cbrt (/ a1 (sqrt 2.0))) (cbrt (/ a1 (sqrt 2.0))))) (* (cos th) (sqrt (/ a1 (sqrt 2.0)))) (* (cos th) (/ (* (cbrt a1) (cbrt a1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cos th) (/ (* (cbrt a1) (cbrt a1)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cos th) (/ (* (cbrt a1) (cbrt a1)) (sqrt (sqrt 2.0)))) (* (cos th) (/ (* (cbrt a1) (cbrt a1)) (sqrt 1))) (* (cos th) (/ (* (cbrt a1) (cbrt a1)) (sqrt (sqrt 2.0)))) (* (cos th) (/ (* (cbrt a1) (cbrt a1)) 1)) (* (cos th) (/ (sqrt a1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cos th) (/ (sqrt a1) (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cos th) (/ (sqrt a1) (sqrt (sqrt 2.0)))) (* (cos th) (/ (sqrt a1) (sqrt 1))) (* (cos th) (/ (sqrt a1) (sqrt (sqrt 2.0)))) (* (cos th) (/ (sqrt a1) 1)) (* (cos th) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cos th) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cos th) (/ 1 (sqrt (sqrt 2.0)))) (* (cos th) (/ 1 (sqrt 1))) (* (cos th) (/ 1 (sqrt (sqrt 2.0)))) (* (cos th) (/ 1 1)) (* (cos th) 1) (* (cos th) a1) (* (cbrt (cos th)) (/ a1 (sqrt 2.0))) (* (sqrt (cos th)) (/ a1 (sqrt 2.0))) (* (cos th) (/ 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)) (/ 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)) (- (/ 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)) 2.361 * * [simplify]: iteration 0 : 516 enodes (cost 1140 ) 2.371 * * [simplify]: iteration 1 : 2223 enodes (cost 1043 ) 2.405 * * [simplify]: iteration 2 : 5001 enodes (cost 1018 ) 2.410 * [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 (/ a1 (sqrt 2.0))) (log (/ a1 (sqrt 2.0))) (exp (/ a1 (sqrt 2.0))) (pow (/ a1 (sqrt 2.0)) 3) (* (cbrt (/ a1 (sqrt 2.0))) (cbrt (/ a1 (sqrt 2.0)))) (cbrt (/ a1 (sqrt 2.0))) (pow (/ a1 (sqrt 2.0)) 3) (sqrt (/ a1 (sqrt 2.0))) (sqrt (/ a1 (sqrt 2.0))) (- a1) (- (sqrt 2.0)) (/ (* (cbrt a1) (cbrt a1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt a1) (cbrt (sqrt 2.0))) (/ (cbrt a1) (/ (fabs (cbrt 2.0)) (cbrt a1))) (/ (cbrt a1) (sqrt (cbrt 2.0))) (/ (* (cbrt a1) (cbrt a1)) (sqrt (sqrt 2.0))) (/ (cbrt a1) (sqrt (sqrt 2.0))) (* (cbrt a1) (cbrt a1)) (/ (cbrt a1) (sqrt 2.0)) (/ (* (cbrt a1) (cbrt a1)) (sqrt (sqrt 2.0))) (/ (cbrt a1) (sqrt (sqrt 2.0))) (* (cbrt a1) (cbrt a1)) (/ (cbrt a1) (sqrt 2.0)) (/ (sqrt a1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt a1) (cbrt (sqrt 2.0))) (/ (sqrt a1) (fabs (cbrt 2.0))) (/ (sqrt a1) (sqrt (cbrt 2.0))) (/ (sqrt a1) (sqrt (sqrt 2.0))) (/ (sqrt a1) (sqrt (sqrt 2.0))) (sqrt a1) (/ (sqrt a1) (sqrt 2.0)) (/ (sqrt a1) (sqrt (sqrt 2.0))) (/ (sqrt a1) (sqrt (sqrt 2.0))) (sqrt a1) (/ (sqrt a1) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ a1 (cbrt (sqrt 2.0))) (/ 1 (* (fabs (cbrt 2.0)) 1)) (/ a1 (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) 1 (/ a1 (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) 1 (/ a1 (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) a1) (/ a1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ a1 (fabs (cbrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) a1 (/ a1 (sqrt (sqrt 2.0))) a1 (/ (sqrt 2.0) (cbrt a1)) (/ (sqrt 2.0) (sqrt a1)) (/ (sqrt 2.0) 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)) (* (cos th) (/ a1 (sqrt 2.0))) (log (* (cos th) (/ a1 (sqrt 2.0)))) (log (* (cos th) (/ a1 (sqrt 2.0)))) (log (* (cos th) (/ a1 (sqrt 2.0)))) (exp (* (cos th) (/ a1 (sqrt 2.0)))) (pow (* (cos th) (/ a1 (sqrt 2.0))) 3) (pow (* (cos th) (/ a1 (sqrt 2.0))) 3) (* (cbrt (* (cos th) (/ a1 (sqrt 2.0)))) (cbrt (* (cos th) (/ a1 (sqrt 2.0))))) (cbrt (* (cos th) (/ a1 (sqrt 2.0)))) (pow (* (cos th) (/ a1 (sqrt 2.0))) 3) (sqrt (* (cos th) (/ a1 (sqrt 2.0)))) (sqrt (* (cos th) (/ a1 (sqrt 2.0)))) (* (sqrt (cos th)) (sqrt (/ a1 (sqrt 2.0)))) (* (sqrt (cos th)) (sqrt (/ a1 (sqrt 2.0)))) (* (sqrt (cos th)) (/ (sqrt a1) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (sqrt a1) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (sqrt a1) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (sqrt a1) (sqrt (sqrt 2.0)))) (* (cos th) (* (cbrt (/ a1 (sqrt 2.0))) (cbrt (/ a1 (sqrt 2.0))))) (* (cos th) (sqrt (/ a1 (sqrt 2.0)))) (* (cos th) (/ (* (cbrt a1) (cbrt a1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (cos th) (* (cbrt a1) (cbrt a1))) (fabs (cbrt 2.0))) (* (cos th) (/ (* (cbrt a1) (cbrt a1)) (sqrt (sqrt 2.0)))) (* (* (cbrt a1) (cbrt a1)) (cos th)) (* (cos th) (/ (* (cbrt a1) (cbrt a1)) (sqrt (sqrt 2.0)))) (* (* (cbrt a1) (cbrt a1)) (cos th)) (* (cos th) (/ (sqrt a1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (cos th) (sqrt a1)) (fabs (cbrt 2.0))) (* (cos th) (/ (sqrt a1) (sqrt (sqrt 2.0)))) (* (sqrt a1) (cos th)) (* (cos th) (/ (sqrt a1) (sqrt (sqrt 2.0)))) (* (sqrt a1) (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) (cos th) (* (cos th) a1) (* (cbrt (cos th)) (/ a1 (sqrt 2.0))) (* (sqrt (cos th)) (/ a1 (sqrt 2.0))) (* (cos th) (/ 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)) (/ 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) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (- (/ a1 (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) a1) (sqrt 2.0)))) (* (cos th) (/ a1 (sqrt 2.0))) (* (cos th) (/ a1 (sqrt 2.0))) 2.411 * * * [progress]: adding candidates to table 2.860 * * [progress]: iteration 4 / 4 2.860 * * * [progress]: picking best candidate 2.884 * * * * [pick]: Picked # 2.885 * * * [progress]: localizing error 2.899 * * * [progress]: generating rewritten candidates 2.899 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.904 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 2.910 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.931 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.052 * * * [progress]: generating series expansions 3.052 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.053 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 3.053 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 3.053 * [taylor]: Taking taylor expansion of (cos th) in th 3.053 * [taylor]: Taking taylor expansion of th in th 3.053 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.053 * [taylor]: Taking taylor expansion of 2.0 in th 3.054 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 3.054 * [taylor]: Taking taylor expansion of (cos th) in th 3.054 * [taylor]: Taking taylor expansion of th in th 3.054 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.054 * [taylor]: Taking taylor expansion of 2.0 in th 3.073 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 3.073 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 3.073 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 3.073 * [taylor]: Taking taylor expansion of (/ 1 th) in th 3.073 * [taylor]: Taking taylor expansion of th in th 3.074 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.074 * [taylor]: Taking taylor expansion of 2.0 in th 3.075 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 3.075 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 3.075 * [taylor]: Taking taylor expansion of (/ 1 th) in th 3.075 * [taylor]: Taking taylor expansion of th in th 3.075 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.075 * [taylor]: Taking taylor expansion of 2.0 in th 3.092 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 3.092 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 3.092 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 3.092 * [taylor]: Taking taylor expansion of (/ -1 th) in th 3.092 * [taylor]: Taking taylor expansion of -1 in th 3.092 * [taylor]: Taking taylor expansion of th in th 3.092 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.092 * [taylor]: Taking taylor expansion of 2.0 in th 3.093 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 3.093 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 3.093 * [taylor]: Taking taylor expansion of (/ -1 th) in th 3.093 * [taylor]: Taking taylor expansion of -1 in th 3.093 * [taylor]: Taking taylor expansion of th in th 3.094 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.094 * [taylor]: Taking taylor expansion of 2.0 in th 3.110 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 3.110 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0 3.110 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 3.110 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 3.110 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 3.110 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.110 * [taylor]: Taking taylor expansion of 2.0 in th 3.114 * [taylor]: Taking taylor expansion of (cos th) in th 3.114 * [taylor]: Taking taylor expansion of th in th 3.114 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 3.114 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 3.114 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 3.114 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.114 * [taylor]: Taking taylor expansion of 2.0 in th 3.117 * [taylor]: Taking taylor expansion of (cos th) in th 3.117 * [taylor]: Taking taylor expansion of th in th 3.150 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0 3.150 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 3.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 3.150 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 3.150 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.150 * [taylor]: Taking taylor expansion of 2.0 in th 3.153 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 3.153 * [taylor]: Taking taylor expansion of (/ 1 th) in th 3.153 * [taylor]: Taking taylor expansion of th in th 3.154 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 3.154 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 3.154 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 3.154 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.154 * [taylor]: Taking taylor expansion of 2.0 in th 3.157 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 3.157 * [taylor]: Taking taylor expansion of (/ 1 th) in th 3.157 * [taylor]: Taking taylor expansion of th in th 3.179 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0 3.179 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 3.179 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 3.179 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 3.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.179 * [taylor]: Taking taylor expansion of 2.0 in th 3.182 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 3.183 * [taylor]: Taking taylor expansion of (/ -1 th) in th 3.183 * [taylor]: Taking taylor expansion of -1 in th 3.183 * [taylor]: Taking taylor expansion of th in th 3.183 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 3.183 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 3.183 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 3.183 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.183 * [taylor]: Taking taylor expansion of 2.0 in th 3.186 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 3.186 * [taylor]: Taking taylor expansion of (/ -1 th) in th 3.186 * [taylor]: Taking taylor expansion of -1 in th 3.186 * [taylor]: Taking taylor expansion of th in th 3.207 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.209 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 3.209 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 3.209 * [taylor]: Taking taylor expansion of (cos th) in th 3.209 * [taylor]: Taking taylor expansion of th in th 3.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.209 * [taylor]: Taking taylor expansion of 2.0 in th 3.210 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 3.210 * [taylor]: Taking taylor expansion of (cos th) in th 3.210 * [taylor]: Taking taylor expansion of th in th 3.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.210 * [taylor]: Taking taylor expansion of 2.0 in th 3.235 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 3.235 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 3.235 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 3.235 * [taylor]: Taking taylor expansion of (/ 1 th) in th 3.235 * [taylor]: Taking taylor expansion of th in th 3.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.235 * [taylor]: Taking taylor expansion of 2.0 in th 3.236 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 3.236 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 3.236 * [taylor]: Taking taylor expansion of (/ 1 th) in th 3.236 * [taylor]: Taking taylor expansion of th in th 3.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.236 * [taylor]: Taking taylor expansion of 2.0 in th 3.254 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 3.254 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 3.254 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 3.254 * [taylor]: Taking taylor expansion of (/ -1 th) in th 3.254 * [taylor]: Taking taylor expansion of -1 in th 3.254 * [taylor]: Taking taylor expansion of th in th 3.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.255 * [taylor]: Taking taylor expansion of 2.0 in th 3.255 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 3.255 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 3.255 * [taylor]: Taking taylor expansion of (/ -1 th) in th 3.255 * [taylor]: Taking taylor expansion of -1 in th 3.256 * [taylor]: Taking taylor expansion of th in th 3.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.256 * [taylor]: Taking taylor expansion of 2.0 in th 3.272 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.273 * [approximate]: Taking taylor expansion of (/ (* a1 (cos th)) (sqrt 2.0)) in (th a1) around 0 3.273 * [taylor]: Taking taylor expansion of (/ (* a1 (cos th)) (sqrt 2.0)) in a1 3.273 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in a1 3.273 * [taylor]: Taking taylor expansion of a1 in a1 3.273 * [taylor]: Taking taylor expansion of (cos th) in a1 3.273 * [taylor]: Taking taylor expansion of th in a1 3.273 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 3.273 * [taylor]: Taking taylor expansion of 2.0 in a1 3.276 * [taylor]: Taking taylor expansion of (/ (* a1 (cos th)) (sqrt 2.0)) in th 3.276 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in th 3.276 * [taylor]: Taking taylor expansion of a1 in th 3.276 * [taylor]: Taking taylor expansion of (cos th) in th 3.276 * [taylor]: Taking taylor expansion of th in th 3.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.276 * [taylor]: Taking taylor expansion of 2.0 in th 3.277 * [taylor]: Taking taylor expansion of (/ (* a1 (cos th)) (sqrt 2.0)) in th 3.277 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in th 3.277 * [taylor]: Taking taylor expansion of a1 in th 3.277 * [taylor]: Taking taylor expansion of (cos th) in th 3.277 * [taylor]: Taking taylor expansion of th in th 3.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.277 * [taylor]: Taking taylor expansion of 2.0 in th 3.278 * [taylor]: Taking taylor expansion of (/ a1 (sqrt 2.0)) in a1 3.278 * [taylor]: Taking taylor expansion of a1 in a1 3.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 3.278 * [taylor]: Taking taylor expansion of 2.0 in a1 3.282 * [taylor]: Taking taylor expansion of 0 in a1 3.286 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ a1 (sqrt 2.0)))) in a1 3.286 * [taylor]: Taking taylor expansion of (* 1/2 (/ a1 (sqrt 2.0))) in a1 3.286 * [taylor]: Taking taylor expansion of 1/2 in a1 3.286 * [taylor]: Taking taylor expansion of (/ a1 (sqrt 2.0)) in a1 3.286 * [taylor]: Taking taylor expansion of a1 in a1 3.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 3.286 * [taylor]: Taking taylor expansion of 2.0 in a1 3.296 * [taylor]: Taking taylor expansion of 0 in a1 3.308 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in (th a1) around 0 3.308 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in a1 3.308 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 3.308 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 3.308 * [taylor]: Taking taylor expansion of th in a1 3.308 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1 3.308 * [taylor]: Taking taylor expansion of a1 in a1 3.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 3.308 * [taylor]: Taking taylor expansion of 2.0 in a1 3.311 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in th 3.311 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 3.311 * [taylor]: Taking taylor expansion of (/ 1 th) in th 3.311 * [taylor]: Taking taylor expansion of th in th 3.312 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in th 3.312 * [taylor]: Taking taylor expansion of a1 in th 3.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.312 * [taylor]: Taking taylor expansion of 2.0 in th 3.313 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in th 3.313 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 3.313 * [taylor]: Taking taylor expansion of (/ 1 th) in th 3.313 * [taylor]: Taking taylor expansion of th in th 3.313 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in th 3.313 * [taylor]: Taking taylor expansion of a1 in th 3.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.313 * [taylor]: Taking taylor expansion of 2.0 in th 3.315 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2.0))) in a1 3.315 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 3.315 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 3.315 * [taylor]: Taking taylor expansion of th in a1 3.315 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1 3.315 * [taylor]: Taking taylor expansion of a1 in a1 3.315 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 3.315 * [taylor]: Taking taylor expansion of 2.0 in a1 3.319 * [taylor]: Taking taylor expansion of 0 in a1 3.326 * [taylor]: Taking taylor expansion of 0 in a1 3.334 * [taylor]: Taking taylor expansion of 0 in a1 3.341 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in (th a1) around 0 3.341 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in a1 3.341 * [taylor]: Taking taylor expansion of -1 in a1 3.341 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2.0))) in a1 3.341 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 3.341 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 3.341 * [taylor]: Taking taylor expansion of -1 in a1 3.341 * [taylor]: Taking taylor expansion of th in a1 3.342 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1 3.342 * [taylor]: Taking taylor expansion of a1 in a1 3.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 3.342 * [taylor]: Taking taylor expansion of 2.0 in a1 3.344 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in th 3.345 * [taylor]: Taking taylor expansion of -1 in th 3.345 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2.0))) in th 3.345 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 3.345 * [taylor]: Taking taylor expansion of (/ -1 th) in th 3.345 * [taylor]: Taking taylor expansion of -1 in th 3.345 * [taylor]: Taking taylor expansion of th in th 3.345 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in th 3.345 * [taylor]: Taking taylor expansion of a1 in th 3.345 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.345 * [taylor]: Taking taylor expansion of 2.0 in th 3.346 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in th 3.346 * [taylor]: Taking taylor expansion of -1 in th 3.346 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2.0))) in th 3.346 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 3.346 * [taylor]: Taking taylor expansion of (/ -1 th) in th 3.346 * [taylor]: Taking taylor expansion of -1 in th 3.346 * [taylor]: Taking taylor expansion of th in th 3.347 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in th 3.347 * [taylor]: Taking taylor expansion of a1 in th 3.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.347 * [taylor]: Taking taylor expansion of 2.0 in th 3.348 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2.0)))) in a1 3.348 * [taylor]: Taking taylor expansion of -1 in a1 3.348 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2.0))) in a1 3.348 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 3.348 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 3.348 * [taylor]: Taking taylor expansion of -1 in a1 3.348 * [taylor]: Taking taylor expansion of th in a1 3.349 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2.0)) in a1 3.349 * [taylor]: Taking taylor expansion of a1 in a1 3.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 3.349 * [taylor]: Taking taylor expansion of 2.0 in a1 3.354 * [taylor]: Taking taylor expansion of 0 in a1 3.361 * [taylor]: Taking taylor expansion of 0 in a1 3.371 * [taylor]: Taking taylor expansion of 0 in a1 3.378 * * * [progress]: simplifying candidates 3.399 * [simplify]: Simplifying using # : (- (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 (/ (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)) (- (- (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)))) 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(sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ 1 (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1) (* (/ 1 (sqrt (sqrt 2.0))) a1) (* (/ (cos th) (sqrt (sqrt 2.0))) 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)) (- (+ (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)) (- (+ (/ 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)) (- (/ 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)) 3.424 * * [simplify]: iteration 0 : 1319 enodes (cost 9484 ) 3.443 * * [simplify]: iteration 1 : 4967 enodes (cost 8360 ) 3.482 * * [simplify]: iteration 2 : 5001 enodes (cost 8360 ) 3.515 * [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 (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) 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(sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (cos th) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (cos th) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (cos th) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* a1 (/ (cos th) (sqrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* a1 (/ (cos th) (sqrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* a1 (/ (cos th) (sqrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (cos th) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (cos th) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (cos th) (sqrt (sqrt 2.0))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* a1 (/ (cos th) (sqrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* a1 (/ (cos th) (sqrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* a1 (/ (cos th) (sqrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) a1) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* a1 (/ (cos th) (sqrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* a1 (/ (cos th) (sqrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) a1) (* a1 (/ (cos th) (sqrt 2.0))) (/ a1 (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ a1 (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ a1 (* (sqrt (sqrt (cbrt 2.0))) (sqrt (sqrt 2.0)))) (/ a1 (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ a1 (sqrt 2.0)) (/ a1 (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ a1 (sqrt 2.0)) (/ a1 (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ a1 (sqrt 2.0)) (* a1 (/ (cos th) (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt (sqrt 2.0))) 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)) (+ (* (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)) (- (+ (/ 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)) (- (/ 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))) 3.520 * * * [progress]: adding candidates to table 5.310 * [progress]: [Phase 3 of 3] Extracting. 5.310 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 5.313 * * * [regime-changes]: Trying 6 branch expressions: ((* a2 a2) (* a1 a1) (cos th) th a2 a1) 5.313 * * * * [regimes]: Trying to branch on (* a2 a2) from (# # # # # # # # #) 5.353 * * * * [regimes]: Trying to branch on (* a1 a1) from (# # # # # # # # #) 5.391 * * * * [regimes]: Trying to branch on (* a1 a1) from (# # #) 5.407 * * * * [regimes]: Trying to branch on (cos th) from (# # # # # # # # #) 5.451 * * * * [regimes]: Trying to branch on th from (# # # # # # # # #) 5.492 * * * * [regimes]: Trying to branch on a2 from (# # # # # # # # #) 5.533 * * * * [regimes]: Trying to branch on a1 from (# # # # # # # # #) 5.570 * * * [regime]: Found split indices: #