20.154 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.079 * * * [progress]: [2/2] Setting up program. 0.081 * [progress]: [Phase 2 of 3] Improving. 0.081 * [simplify]: Simplifying using # : (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) 0.082 * * [simplify]: iteration 0 : 12 enodes (cost 19 ) 0.084 * * [simplify]: iteration 1 : 25 enodes (cost 13 ) 0.087 * * [simplify]: iteration 2 : 45 enodes (cost 13 ) 0.093 * * [simplify]: iteration 3 : 65 enodes (cost 13 ) 0.106 * * [simplify]: iteration 4 : 84 enodes (cost 13 ) 0.119 * * [simplify]: iteration 5 : 102 enodes (cost 13 ) 0.133 * * [simplify]: iteration 6 : 115 enodes (cost 13 ) 0.149 * * [simplify]: iteration done : 115 enodes (cost 13 ) 0.149 * [simplify]: Simplified to: (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) 0.155 * * [progress]: iteration 1 / 4 0.155 * * * [progress]: picking best candidate 0.157 * * * * [pick]: Picked # 0.157 * * * [progress]: localizing error 0.169 * * * [progress]: generating rewritten candidates 0.169 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.173 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.178 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.193 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.214 * * * [progress]: generating series expansions 0.214 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.215 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 0.215 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.215 * [taylor]: Taking taylor expansion of (cos th) in th 0.215 * [taylor]: Taking taylor expansion of th in th 0.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.215 * [taylor]: Taking taylor expansion of 2.0 in th 0.216 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.216 * [taylor]: Taking taylor expansion of (cos th) in th 0.216 * [taylor]: Taking taylor expansion of th in th 0.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.216 * [taylor]: Taking taylor expansion of 2.0 in th 0.241 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 0.241 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.241 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.241 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.241 * [taylor]: Taking taylor expansion of th in th 0.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.241 * [taylor]: Taking taylor expansion of 2.0 in th 0.242 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.242 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.242 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.242 * [taylor]: Taking taylor expansion of th in th 0.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.243 * [taylor]: Taking taylor expansion of 2.0 in th 0.259 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 0.259 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.259 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.259 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.259 * [taylor]: Taking taylor expansion of -1 in th 0.259 * [taylor]: Taking taylor expansion of th in th 0.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.260 * [taylor]: Taking taylor expansion of 2.0 in th 0.261 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.261 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.261 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.261 * [taylor]: Taking taylor expansion of -1 in th 0.261 * [taylor]: Taking taylor expansion of th in th 0.261 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.261 * [taylor]: Taking taylor expansion of 2.0 in th 0.277 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.278 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 0.278 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.278 * [taylor]: Taking taylor expansion of (cos th) in th 0.278 * [taylor]: Taking taylor expansion of th in th 0.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.278 * [taylor]: Taking taylor expansion of 2.0 in th 0.279 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.279 * [taylor]: Taking taylor expansion of (cos th) in th 0.279 * [taylor]: Taking taylor expansion of th in th 0.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.279 * [taylor]: Taking taylor expansion of 2.0 in th 0.297 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 0.297 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.297 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.297 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.297 * [taylor]: Taking taylor expansion of th in th 0.298 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.298 * [taylor]: Taking taylor expansion of 2.0 in th 0.299 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.299 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.299 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.299 * [taylor]: Taking taylor expansion of th in th 0.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.299 * [taylor]: Taking taylor expansion of 2.0 in th 0.321 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 0.321 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.321 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.321 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.321 * [taylor]: Taking taylor expansion of -1 in th 0.321 * [taylor]: Taking taylor expansion of th in th 0.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.322 * [taylor]: Taking taylor expansion of 2.0 in th 0.323 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.323 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.323 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.323 * [taylor]: Taking taylor expansion of -1 in th 0.323 * [taylor]: Taking taylor expansion of th in th 0.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.323 * [taylor]: Taking taylor expansion of 2.0 in th 0.339 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.339 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in (th a1) around 0 0.340 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1 0.340 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1 0.340 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.340 * [taylor]: Taking taylor expansion of a1 in a1 0.340 * [taylor]: Taking taylor expansion of (cos th) in a1 0.340 * [taylor]: Taking taylor expansion of th in a1 0.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.340 * [taylor]: Taking taylor expansion of 2.0 in a1 0.342 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th 0.342 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 0.342 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.342 * [taylor]: Taking taylor expansion of a1 in th 0.342 * [taylor]: Taking taylor expansion of (cos th) in th 0.342 * [taylor]: Taking taylor expansion of th in th 0.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.342 * [taylor]: Taking taylor expansion of 2.0 in th 0.343 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th 0.343 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 0.343 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.343 * [taylor]: Taking taylor expansion of a1 in th 0.343 * [taylor]: Taking taylor expansion of (cos th) in th 0.343 * [taylor]: Taking taylor expansion of th in th 0.343 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.343 * [taylor]: Taking taylor expansion of 2.0 in th 0.344 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 0.344 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.344 * [taylor]: Taking taylor expansion of a1 in a1 0.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.344 * [taylor]: Taking taylor expansion of 2.0 in a1 0.348 * [taylor]: Taking taylor expansion of 0 in a1 0.353 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) in a1 0.353 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1 0.353 * [taylor]: Taking taylor expansion of 1/2 in a1 0.353 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 0.353 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.353 * [taylor]: Taking taylor expansion of a1 in a1 0.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.353 * [taylor]: Taking taylor expansion of 2.0 in a1 0.364 * [taylor]: Taking taylor expansion of 0 in a1 0.370 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0 0.370 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.371 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 0.371 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 0.371 * [taylor]: Taking taylor expansion of th in a1 0.371 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.371 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.371 * [taylor]: Taking taylor expansion of a1 in a1 0.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.371 * [taylor]: Taking taylor expansion of 2.0 in a1 0.373 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.373 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.373 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.373 * [taylor]: Taking taylor expansion of th in th 0.373 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.373 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.373 * [taylor]: Taking taylor expansion of a1 in th 0.373 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.373 * [taylor]: Taking taylor expansion of 2.0 in th 0.375 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.375 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.375 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.375 * [taylor]: Taking taylor expansion of th in th 0.375 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.375 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.375 * [taylor]: Taking taylor expansion of a1 in th 0.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.375 * [taylor]: Taking taylor expansion of 2.0 in th 0.377 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.377 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 0.377 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 0.377 * [taylor]: Taking taylor expansion of th in a1 0.377 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.377 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.377 * [taylor]: Taking taylor expansion of a1 in a1 0.377 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.377 * [taylor]: Taking taylor expansion of 2.0 in a1 0.381 * [taylor]: Taking taylor expansion of 0 in a1 0.387 * [taylor]: Taking taylor expansion of 0 in a1 0.396 * [taylor]: Taking taylor expansion of 0 in a1 0.412 * [taylor]: Taking taylor expansion of 0 in a1 0.413 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0 0.413 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.413 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 0.413 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 0.413 * [taylor]: Taking taylor expansion of -1 in a1 0.413 * [taylor]: Taking taylor expansion of th in a1 0.413 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.413 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.413 * [taylor]: Taking taylor expansion of a1 in a1 0.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.413 * [taylor]: Taking taylor expansion of 2.0 in a1 0.415 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.415 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.415 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.415 * [taylor]: Taking taylor expansion of -1 in th 0.415 * [taylor]: Taking taylor expansion of th in th 0.415 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.415 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.415 * [taylor]: Taking taylor expansion of a1 in th 0.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.415 * [taylor]: Taking taylor expansion of 2.0 in th 0.417 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.417 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.417 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.417 * [taylor]: Taking taylor expansion of -1 in th 0.417 * [taylor]: Taking taylor expansion of th in th 0.417 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.417 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.417 * [taylor]: Taking taylor expansion of a1 in th 0.417 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.417 * [taylor]: Taking taylor expansion of 2.0 in th 0.419 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.419 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 0.419 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 0.419 * [taylor]: Taking taylor expansion of -1 in a1 0.419 * [taylor]: Taking taylor expansion of th in a1 0.419 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.419 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.419 * [taylor]: Taking taylor expansion of a1 in a1 0.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.419 * [taylor]: Taking taylor expansion of 2.0 in a1 0.423 * [taylor]: Taking taylor expansion of 0 in a1 0.429 * [taylor]: Taking taylor expansion of 0 in a1 0.438 * [taylor]: Taking taylor expansion of 0 in a1 0.448 * [taylor]: Taking taylor expansion of 0 in a1 0.449 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.449 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0 0.449 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2 0.449 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 0.449 * [taylor]: Taking taylor expansion of (cos th) in a2 0.449 * [taylor]: Taking taylor expansion of th in a2 0.449 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.449 * [taylor]: Taking taylor expansion of a2 in a2 0.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.449 * [taylor]: Taking taylor expansion of 2.0 in a2 0.451 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 0.451 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 0.451 * [taylor]: Taking taylor expansion of (cos th) in th 0.451 * [taylor]: Taking taylor expansion of th in th 0.451 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.451 * [taylor]: Taking taylor expansion of a2 in th 0.451 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.451 * [taylor]: Taking taylor expansion of 2.0 in th 0.452 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 0.452 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 0.452 * [taylor]: Taking taylor expansion of (cos th) in th 0.452 * [taylor]: Taking taylor expansion of th in th 0.452 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.452 * [taylor]: Taking taylor expansion of a2 in th 0.452 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.452 * [taylor]: Taking taylor expansion of 2.0 in th 0.453 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 0.453 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.454 * [taylor]: Taking taylor expansion of a2 in a2 0.454 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.454 * [taylor]: Taking taylor expansion of 2.0 in a2 0.457 * [taylor]: Taking taylor expansion of 0 in a2 0.461 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2 0.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2 0.462 * [taylor]: Taking taylor expansion of 1/2 in a2 0.462 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 0.462 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.462 * [taylor]: Taking taylor expansion of a2 in a2 0.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.462 * [taylor]: Taking taylor expansion of 2.0 in a2 0.472 * [taylor]: Taking taylor expansion of 0 in a2 0.479 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 0.479 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.479 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 0.479 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 0.479 * [taylor]: Taking taylor expansion of th in a2 0.479 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.479 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.479 * [taylor]: Taking taylor expansion of 2.0 in a2 0.480 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.480 * [taylor]: Taking taylor expansion of a2 in a2 0.481 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 0.481 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.481 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.481 * [taylor]: Taking taylor expansion of th in th 0.482 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 0.482 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.482 * [taylor]: Taking taylor expansion of 2.0 in th 0.482 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.482 * [taylor]: Taking taylor expansion of a2 in th 0.483 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 0.483 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.483 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.483 * [taylor]: Taking taylor expansion of th in th 0.483 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 0.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.483 * [taylor]: Taking taylor expansion of 2.0 in th 0.484 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.484 * [taylor]: Taking taylor expansion of a2 in th 0.485 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.485 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 0.485 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 0.485 * [taylor]: Taking taylor expansion of th in a2 0.485 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.485 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.485 * [taylor]: Taking taylor expansion of 2.0 in a2 0.486 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.486 * [taylor]: Taking taylor expansion of a2 in a2 0.489 * [taylor]: Taking taylor expansion of 0 in a2 0.500 * [taylor]: Taking taylor expansion of 0 in a2 0.509 * [taylor]: Taking taylor expansion of 0 in a2 0.520 * [taylor]: Taking taylor expansion of 0 in a2 0.521 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 0.521 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.521 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 0.521 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 0.521 * [taylor]: Taking taylor expansion of -1 in a2 0.521 * [taylor]: Taking taylor expansion of th in a2 0.521 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.521 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.521 * [taylor]: Taking taylor expansion of 2.0 in a2 0.522 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.522 * [taylor]: Taking taylor expansion of a2 in a2 0.523 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 0.523 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.523 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.523 * [taylor]: Taking taylor expansion of -1 in th 0.523 * [taylor]: Taking taylor expansion of th in th 0.523 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 0.523 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.524 * [taylor]: Taking taylor expansion of 2.0 in th 0.524 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.524 * [taylor]: Taking taylor expansion of a2 in th 0.525 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 0.525 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.525 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.525 * [taylor]: Taking taylor expansion of -1 in th 0.525 * [taylor]: Taking taylor expansion of th in th 0.525 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 0.525 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.525 * [taylor]: Taking taylor expansion of 2.0 in th 0.527 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.527 * [taylor]: Taking taylor expansion of a2 in th 0.527 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.527 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 0.527 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 0.527 * [taylor]: Taking taylor expansion of -1 in a2 0.527 * [taylor]: Taking taylor expansion of th in a2 0.528 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.528 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.528 * [taylor]: Taking taylor expansion of 2.0 in a2 0.528 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.528 * [taylor]: Taking taylor expansion of a2 in a2 0.532 * [taylor]: Taking taylor expansion of 0 in a2 0.538 * [taylor]: Taking taylor expansion of 0 in a2 0.547 * [taylor]: Taking taylor expansion of 0 in a2 0.558 * [taylor]: Taking taylor expansion of 0 in a2 0.558 * * * [progress]: simplifying candidates 0.561 * [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 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (+ (- (log (cos th)) (log (sqrt 2.0))) (+ (log a1) (log a1))) (+ (- (log (cos th)) (log (sqrt 2.0))) (log (* a1 a1))) (+ (log (/ (cos th) (sqrt 2.0))) (+ (log a1) (log a1))) (+ (log (/ (cos th) (sqrt 2.0))) (log (* a1 a1))) (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (exp (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a1 a1) a1) (* (* a1 a1) a1))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a1 a1) a1) (* (* a1 a1) a1))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (* (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (sqrt (/ (cos th) (sqrt 2.0))) a1) (* (sqrt (/ (cos th) (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (cos th) (sqrt 2.0)) a1) (* (cbrt (/ (cos th) (sqrt 2.0))) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ 1 (sqrt 2.0)) (* a1 a1)) (* (cos th) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (+ (- (log (cos th)) (log (sqrt 2.0))) (+ (log a2) (log a2))) (+ (- (log (cos th)) (log (sqrt 2.0))) (log (* a2 a2))) (+ (log (/ (cos th) (sqrt 2.0))) (+ (log a2) (log a2))) (+ (log (/ (cos th) (sqrt 2.0))) (log (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (exp (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (* (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (sqrt (/ (cos th) (sqrt 2.0))) a2) (* (sqrt (/ (cos th) (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (cos th) (sqrt 2.0)) a2) (* (cbrt (/ (cos th) (sqrt 2.0))) (* a2 a2)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ 1 (sqrt 2.0)) (* a2 a2)) (* (cos th) (* a2 a2)) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2.0)))) (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (- (/ (pow a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0)))) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) 0.567 * * [simplify]: iteration 0 : 181 enodes (cost 2118 ) 0.611 * * [simplify]: iteration 1 : 493 enodes (cost 2012 ) 0.760 * * [simplify]: iteration 2 : 1599 enodes (cost 1832 ) 1.571 * * [simplify]: iteration done : 5000 enodes (cost 1812 ) 1.572 * [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)) (cbrt (cos th))) (fabs (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))) (/ (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))) (/ (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)) (cbrt (cos th))) (fabs (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))) (/ (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))) (/ (cos th) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (cos th)) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (fabs (cbrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt 2.0) (cos th)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (exp (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (sqrt (/ (cos th) (sqrt 2.0))) a1) (* (sqrt (/ (cos th) (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (cos th) (sqrt 2.0)) a1) (* (cbrt (/ (cos th) (sqrt 2.0))) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (/ (pow a1 2) (sqrt 2.0)) (* (cos th) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (log (/ (* (cos th) (pow a2 2)) (sqrt 2.0))) (log (/ (* (cos th) (pow a2 2)) (sqrt 2.0))) (log (/ (* (cos th) (pow a2 2)) (sqrt 2.0))) (log (/ (* (cos th) (pow a2 2)) (sqrt 2.0))) (log (/ (* (cos th) (pow a2 2)) (sqrt 2.0))) (exp (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (sqrt (/ (cos th) (sqrt 2.0))) a2) (* (sqrt (/ (cos th) (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (cos th) (sqrt 2.0)) a2) (* (cbrt (/ (cos th) (sqrt 2.0))) (* a2 a2)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (/ (pow a2 2) (sqrt 2.0)) (* (cos th) (* a2 a2)) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2.0)))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (- (/ (pow a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0)))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 1.574 * * * [progress]: adding candidates to table 1.992 * * [progress]: iteration 2 / 4 1.992 * * * [progress]: picking best candidate 2.015 * * * * [pick]: Picked # 2.015 * * * [progress]: localizing error 2.031 * * * [progress]: generating rewritten candidates 2.031 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.035 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.040 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.056 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.088 * * * [progress]: generating series expansions 2.088 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.088 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 2.088 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 2.088 * [taylor]: Taking taylor expansion of (cos th) in th 2.088 * [taylor]: Taking taylor expansion of th in th 2.088 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.088 * [taylor]: Taking taylor expansion of 2.0 in th 2.090 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 2.090 * [taylor]: Taking taylor expansion of (cos th) in th 2.090 * [taylor]: Taking taylor expansion of th in th 2.090 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.090 * [taylor]: Taking taylor expansion of 2.0 in th 2.113 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 2.113 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 2.113 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.113 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.113 * [taylor]: Taking taylor expansion of th in th 2.113 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.113 * [taylor]: Taking taylor expansion of 2.0 in th 2.114 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 2.114 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.114 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.114 * [taylor]: Taking taylor expansion of th in th 2.115 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.115 * [taylor]: Taking taylor expansion of 2.0 in th 2.131 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 2.131 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 2.131 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.131 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.131 * [taylor]: Taking taylor expansion of -1 in th 2.131 * [taylor]: Taking taylor expansion of th in th 2.131 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.131 * [taylor]: Taking taylor expansion of 2.0 in th 2.132 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 2.132 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.132 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.132 * [taylor]: Taking taylor expansion of -1 in th 2.132 * [taylor]: Taking taylor expansion of th in th 2.133 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.133 * [taylor]: Taking taylor expansion of 2.0 in th 2.149 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.149 * [approximate]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in (a1) around 0 2.149 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 2.149 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.149 * [taylor]: Taking taylor expansion of a1 in a1 2.149 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.149 * [taylor]: Taking taylor expansion of 2.0 in a1 2.151 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 2.151 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.151 * [taylor]: Taking taylor expansion of a1 in a1 2.151 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.151 * [taylor]: Taking taylor expansion of 2.0 in a1 2.165 * [approximate]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in (a1) around 0 2.165 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in a1 2.165 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 2.165 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.165 * [taylor]: Taking taylor expansion of a1 in a1 2.165 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.165 * [taylor]: Taking taylor expansion of 2.0 in a1 2.167 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in a1 2.167 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 2.167 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.167 * [taylor]: Taking taylor expansion of a1 in a1 2.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.167 * [taylor]: Taking taylor expansion of 2.0 in a1 2.188 * [approximate]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in (a1) around 0 2.188 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in a1 2.188 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 2.188 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.188 * [taylor]: Taking taylor expansion of a1 in a1 2.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.188 * [taylor]: Taking taylor expansion of 2.0 in a1 2.190 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in a1 2.190 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 2.190 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.190 * [taylor]: Taking taylor expansion of a1 in a1 2.190 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.190 * [taylor]: Taking taylor expansion of 2.0 in a1 2.208 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.209 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0 2.209 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2 2.209 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 2.209 * [taylor]: Taking taylor expansion of (cos th) in a2 2.209 * [taylor]: Taking taylor expansion of th in a2 2.209 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.209 * [taylor]: Taking taylor expansion of a2 in a2 2.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.209 * [taylor]: Taking taylor expansion of 2.0 in a2 2.210 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 2.210 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 2.210 * [taylor]: Taking taylor expansion of (cos th) in th 2.210 * [taylor]: Taking taylor expansion of th in th 2.210 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.210 * [taylor]: Taking taylor expansion of a2 in th 2.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.210 * [taylor]: Taking taylor expansion of 2.0 in th 2.211 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 2.211 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 2.211 * [taylor]: Taking taylor expansion of (cos th) in th 2.211 * [taylor]: Taking taylor expansion of th in th 2.211 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.212 * [taylor]: Taking taylor expansion of a2 in th 2.212 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.212 * [taylor]: Taking taylor expansion of 2.0 in th 2.213 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 2.213 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.213 * [taylor]: Taking taylor expansion of a2 in a2 2.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.213 * [taylor]: Taking taylor expansion of 2.0 in a2 2.216 * [taylor]: Taking taylor expansion of 0 in a2 2.221 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2 2.221 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2 2.221 * [taylor]: Taking taylor expansion of 1/2 in a2 2.221 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 2.221 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.221 * [taylor]: Taking taylor expansion of a2 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 2.232 * [taylor]: Taking taylor expansion of 0 in a2 2.238 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 2.239 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.239 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 2.239 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 2.239 * [taylor]: Taking taylor expansion of th in a2 2.239 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.239 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.239 * [taylor]: Taking taylor expansion of 2.0 in a2 2.239 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.239 * [taylor]: Taking taylor expansion of a2 in a2 2.241 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 2.241 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.241 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.241 * [taylor]: Taking taylor expansion of th in th 2.241 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 2.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.241 * [taylor]: Taking taylor expansion of 2.0 in th 2.242 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.242 * [taylor]: Taking taylor expansion of a2 in th 2.243 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 2.243 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.243 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.243 * [taylor]: Taking taylor expansion of th in th 2.243 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 2.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.243 * [taylor]: Taking taylor expansion of 2.0 in th 2.244 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.244 * [taylor]: Taking taylor expansion of a2 in th 2.245 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.245 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 2.245 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 2.245 * [taylor]: Taking taylor expansion of th in a2 2.245 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.245 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.245 * [taylor]: Taking taylor expansion of 2.0 in a2 2.245 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.246 * [taylor]: Taking taylor expansion of a2 in a2 2.249 * [taylor]: Taking taylor expansion of 0 in a2 2.255 * [taylor]: Taking taylor expansion of 0 in a2 2.267 * [taylor]: Taking taylor expansion of 0 in a2 2.278 * [taylor]: Taking taylor expansion of 0 in a2 2.279 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 2.279 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.279 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 2.279 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 2.279 * [taylor]: Taking taylor expansion of -1 in a2 2.279 * [taylor]: Taking taylor expansion of th in a2 2.279 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.279 * [taylor]: Taking taylor expansion of 2.0 in a2 2.279 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.279 * [taylor]: Taking taylor expansion of a2 in a2 2.281 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 2.281 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.281 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.281 * [taylor]: Taking taylor expansion of -1 in th 2.281 * [taylor]: Taking taylor expansion of th in th 2.281 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 2.281 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.281 * [taylor]: Taking taylor expansion of 2.0 in th 2.282 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.282 * [taylor]: Taking taylor expansion of a2 in th 2.283 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) 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 -1 in th 2.283 * [taylor]: Taking taylor expansion of th in th 2.283 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) 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 (pow a2 2) in th 2.284 * [taylor]: Taking taylor expansion of a2 in th 2.285 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.285 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 2.285 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 2.285 * [taylor]: Taking taylor expansion of -1 in a2 2.285 * [taylor]: Taking taylor expansion of th in a2 2.285 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.285 * [taylor]: Taking taylor expansion of 2.0 in a2 2.286 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.286 * [taylor]: Taking taylor expansion of a2 in a2 2.289 * [taylor]: Taking taylor expansion of 0 in a2 2.295 * [taylor]: Taking taylor expansion of 0 in a2 2.304 * [taylor]: Taking taylor expansion of 0 in a2 2.314 * [taylor]: Taking taylor expansion of 0 in a2 2.315 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.315 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in (th a1) around 0 2.315 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1 2.315 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1 2.315 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.315 * [taylor]: Taking taylor expansion of a1 in a1 2.315 * [taylor]: Taking taylor expansion of (cos th) in a1 2.315 * [taylor]: Taking taylor expansion of th 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 2.317 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th 2.317 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 2.317 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.317 * [taylor]: Taking taylor expansion of a1 in th 2.317 * [taylor]: Taking taylor expansion of (cos th) in th 2.317 * [taylor]: Taking taylor expansion of th in th 2.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.317 * [taylor]: Taking taylor expansion of 2.0 in th 2.319 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th 2.319 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 2.319 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.319 * [taylor]: Taking taylor expansion of a1 in th 2.319 * [taylor]: Taking taylor expansion of (cos th) in th 2.319 * [taylor]: Taking taylor expansion of th 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 2.320 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 2.320 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.320 * [taylor]: Taking taylor expansion of a1 in a1 2.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.320 * [taylor]: Taking taylor expansion of 2.0 in a1 2.324 * [taylor]: Taking taylor expansion of 0 in a1 2.328 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) in a1 2.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1 2.328 * [taylor]: Taking taylor expansion of 1/2 in a1 2.328 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 2.328 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.328 * [taylor]: Taking taylor expansion of a1 in a1 2.328 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.328 * [taylor]: Taking taylor expansion of 2.0 in a1 2.339 * [taylor]: Taking taylor expansion of 0 in a1 2.348 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0 2.348 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 2.348 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 2.348 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 2.348 * [taylor]: Taking taylor expansion of th in a1 2.349 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 2.349 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.349 * [taylor]: Taking taylor expansion of a1 in a1 2.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.349 * [taylor]: Taking taylor expansion of 2.0 in a1 2.351 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th 2.351 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.351 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.351 * [taylor]: Taking taylor expansion of th in th 2.351 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 2.351 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.351 * [taylor]: Taking taylor expansion of a1 in th 2.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.351 * [taylor]: Taking taylor expansion of 2.0 in th 2.352 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th 2.352 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.352 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.352 * [taylor]: Taking taylor expansion of th in th 2.353 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 2.353 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.353 * [taylor]: Taking taylor expansion of a1 in th 2.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.353 * [taylor]: Taking taylor expansion of 2.0 in th 2.354 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 2.354 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 2.354 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 2.354 * [taylor]: Taking taylor expansion of th in a1 2.354 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 2.354 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.354 * [taylor]: Taking taylor expansion of a1 in a1 2.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.354 * [taylor]: Taking taylor expansion of 2.0 in a1 2.358 * [taylor]: Taking taylor expansion of 0 in a1 2.364 * [taylor]: Taking taylor expansion of 0 in a1 2.373 * [taylor]: Taking taylor expansion of 0 in a1 2.384 * [taylor]: Taking taylor expansion of 0 in a1 2.385 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0 2.385 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 2.385 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 2.385 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 2.385 * [taylor]: Taking taylor expansion of -1 in a1 2.385 * [taylor]: Taking taylor expansion of th in a1 2.385 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 2.385 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.385 * [taylor]: Taking taylor expansion of a1 in a1 2.385 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.385 * [taylor]: Taking taylor expansion of 2.0 in a1 2.387 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th 2.387 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.387 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.387 * [taylor]: Taking taylor expansion of -1 in th 2.387 * [taylor]: Taking taylor expansion of th in th 2.387 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 2.387 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.388 * [taylor]: Taking taylor expansion of a1 in th 2.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.388 * [taylor]: Taking taylor expansion of 2.0 in th 2.389 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th 2.389 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.389 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.389 * [taylor]: Taking taylor expansion of -1 in th 2.389 * [taylor]: Taking taylor expansion of th in th 2.389 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 2.389 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.389 * [taylor]: Taking taylor expansion of a1 in th 2.389 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.389 * [taylor]: Taking taylor expansion of 2.0 in th 2.391 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 2.391 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 2.391 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 2.391 * [taylor]: Taking taylor expansion of -1 in a1 2.391 * [taylor]: Taking taylor expansion of th in a1 2.391 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 2.391 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.391 * [taylor]: Taking taylor expansion of a1 in a1 2.391 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.391 * [taylor]: Taking taylor expansion of 2.0 in a1 2.395 * [taylor]: Taking taylor expansion of 0 in a1 2.401 * [taylor]: Taking taylor expansion of 0 in a1 2.410 * [taylor]: Taking taylor expansion of 0 in a1 2.420 * [taylor]: Taking taylor expansion of 0 in a1 2.421 * * * [progress]: simplifying candidates 2.424 * [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) 2) (log (sqrt 2.0))) (- (* (log a1) 2) (log (sqrt 2.0))) (- (log (pow a1 2)) (log (sqrt 2.0))) (log (/ (pow a1 2) (sqrt 2.0))) (exp (/ (pow a1 2) (sqrt 2.0))) (/ (* (* (pow a1 2) (pow a1 2)) (pow a1 2)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (/ (pow a1 2) (sqrt 2.0))) (cbrt (/ (pow a1 2) (sqrt 2.0)))) (cbrt (/ (pow a1 2) (sqrt 2.0))) (* (* (/ (pow a1 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0))) (/ (pow a1 2) (sqrt 2.0))) (sqrt (/ (pow a1 2) (sqrt 2.0))) (sqrt (/ (pow a1 2) (sqrt 2.0))) (- (pow a1 2)) (- (sqrt 2.0)) (/ (pow (* (cbrt a1) (cbrt a1)) 2) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (pow (cbrt a1) 2) (cbrt (sqrt 2.0))) (/ (pow (* (cbrt a1) (cbrt a1)) 2) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (pow (cbrt a1) 2) (sqrt (cbrt 2.0))) (/ (pow (* (cbrt a1) (cbrt a1)) 2) (sqrt (sqrt 2.0))) (/ (pow (cbrt a1) 2) (sqrt (sqrt 2.0))) (/ (pow (* (cbrt a1) (cbrt a1)) 2) (sqrt 1)) (/ (pow (cbrt a1) 2) (sqrt 2.0)) (/ (pow (* (cbrt a1) (cbrt a1)) 2) (sqrt (sqrt 2.0))) (/ (pow (cbrt a1) 2) (sqrt (sqrt 2.0))) (/ (pow (* (cbrt a1) (cbrt a1)) 2) 1) (/ (pow (cbrt a1) 2) (sqrt 2.0)) (/ (pow (sqrt a1) 2) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (pow (sqrt a1) 2) (cbrt (sqrt 2.0))) (/ (pow (sqrt a1) 2) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (pow (sqrt a1) 2) (sqrt (cbrt 2.0))) (/ (pow (sqrt a1) 2) (sqrt (sqrt 2.0))) (/ (pow (sqrt a1) 2) (sqrt (sqrt 2.0))) (/ (pow (sqrt a1) 2) (sqrt 1)) (/ (pow (sqrt a1) 2) (sqrt 2.0)) (/ (pow (sqrt a1) 2) (sqrt (sqrt 2.0))) (/ (pow (sqrt a1) 2) (sqrt (sqrt 2.0))) (/ (pow (sqrt a1) 2) 1) (/ (pow (sqrt a1) 2) (sqrt 2.0)) (/ (pow 1 2) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (pow a1 2) (cbrt (sqrt 2.0))) (/ (pow 1 2) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (pow a1 2) (sqrt (cbrt 2.0))) (/ (pow 1 2) (sqrt (sqrt 2.0))) (/ (pow a1 2) (sqrt (sqrt 2.0))) (/ (pow 1 2) (sqrt 1)) (/ (pow a1 2) (sqrt 2.0)) (/ (pow 1 2) (sqrt (sqrt 2.0))) (/ (pow a1 2) (sqrt (sqrt 2.0))) (/ (pow 1 2) 1) (/ (pow a1 2) (sqrt 2.0)) (/ a1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ a1 (cbrt (sqrt 2.0))) (/ a1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ a1 (sqrt (cbrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) (/ a1 (sqrt 1)) (/ a1 (sqrt 2.0)) (/ a1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) (/ a1 1) (/ a1 (sqrt 2.0)) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (pow a1 2)) (cbrt (sqrt 2.0))) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (pow a1 2)) (sqrt (cbrt 2.0))) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (sqrt (sqrt 2.0))) (/ (cbrt (pow a1 2)) (sqrt (sqrt 2.0))) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (sqrt 1)) (/ (cbrt (pow a1 2)) (sqrt 2.0)) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (sqrt (sqrt 2.0))) (/ (cbrt (pow a1 2)) (sqrt (sqrt 2.0))) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) 1) (/ (cbrt (pow a1 2)) (sqrt 2.0)) (/ (sqrt (pow a1 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (pow a1 2)) (cbrt (sqrt 2.0))) (/ (sqrt (pow a1 2)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (pow a1 2)) (sqrt (cbrt 2.0))) (/ (sqrt (pow a1 2)) (sqrt (sqrt 2.0))) (/ (sqrt (pow a1 2)) (sqrt (sqrt 2.0))) (/ (sqrt (pow a1 2)) (sqrt 1)) (/ (sqrt (pow a1 2)) (sqrt 2.0)) (/ (sqrt (pow a1 2)) (sqrt (sqrt 2.0))) (/ (sqrt (pow a1 2)) (sqrt (sqrt 2.0))) (/ (sqrt (pow a1 2)) 1) (/ (sqrt (pow a1 2)) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (pow a1 2) (cbrt (sqrt 2.0))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (pow a1 2) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (pow a1 2) (sqrt (sqrt 2.0))) (/ 1 (sqrt 1)) (/ (pow a1 2) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (pow a1 2) (sqrt (sqrt 2.0))) (/ 1 1) (/ (pow a1 2) (sqrt 2.0)) (/ (pow a1 (/ 2 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (pow a1 (/ 2 2)) (cbrt (sqrt 2.0))) (/ (pow a1 (/ 2 2)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (pow a1 (/ 2 2)) (sqrt (cbrt 2.0))) (/ (pow a1 (/ 2 2)) (sqrt (sqrt 2.0))) (/ (pow a1 (/ 2 2)) (sqrt (sqrt 2.0))) (/ (pow a1 (/ 2 2)) (sqrt 1)) (/ (pow a1 (/ 2 2)) (sqrt 2.0)) (/ (pow a1 (/ 2 2)) (sqrt (sqrt 2.0))) (/ (pow a1 (/ 2 2)) (sqrt (sqrt 2.0))) (/ (pow a1 (/ 2 2)) 1) (/ (pow a1 (/ 2 2)) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (pow a1 2)) (/ (pow a1 2) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (pow a1 2) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (pow a1 2) (sqrt (sqrt 2.0))) (/ (pow a1 2) (sqrt 1)) (/ (pow a1 2) (sqrt (sqrt 2.0))) (/ (pow a1 2) 1) (/ (sqrt 2.0) (pow (cbrt a1) 2)) (/ (sqrt 2.0) (pow (sqrt a1) 2)) (/ (sqrt 2.0) (pow a1 2)) (/ (sqrt 2.0) a1) (/ (sqrt 2.0) (cbrt (pow a1 2))) (/ (sqrt 2.0) (sqrt (pow a1 2))) (/ (sqrt 2.0) (pow a1 2)) (/ (sqrt 2.0) (pow a1 (/ 2 2))) (* (/ (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) (/ (pow a1 2) (sqrt 2.0))) (+ (log (cos th)) (- (* (log a1) 2) (log (sqrt 2.0)))) (+ (log (cos th)) (- (* (log a1) 2) (log (sqrt 2.0)))) (+ (log (cos th)) (- (log (pow a1 2)) (log (sqrt 2.0)))) (+ (log (cos th)) (log (/ (pow a1 2) (sqrt 2.0)))) (log (* (cos th) (/ (pow a1 2) (sqrt 2.0)))) (exp (* (cos th) (/ (pow a1 2) (sqrt 2.0)))) (* (* (* (cos th) (cos th)) (cos th)) (/ (* (* (pow a1 2) (pow a1 2)) (pow a1 2)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))) (* (* (* (cos th) (cos th)) (cos th)) (* (* (/ (pow a1 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0))) (/ (pow a1 2) (sqrt 2.0)))) (* (cbrt (* (cos th) (/ (pow a1 2) (sqrt 2.0)))) (cbrt (* (cos th) (/ (pow a1 2) (sqrt 2.0))))) (cbrt (* (cos th) (/ (pow a1 2) (sqrt 2.0)))) (* (* (* (cos th) (/ (pow a1 2) (sqrt 2.0))) (* (cos th) (/ (pow a1 2) (sqrt 2.0)))) (* (cos th) (/ (pow a1 2) (sqrt 2.0)))) (sqrt (* (cos th) (/ (pow a1 2) (sqrt 2.0)))) (sqrt (* (cos th) (/ (pow a1 2) (sqrt 2.0)))) (* (sqrt (cos th)) (sqrt (/ (pow a1 2) (sqrt 2.0)))) (* (sqrt (cos th)) (sqrt (/ (pow a1 2) (sqrt 2.0)))) (* (sqrt (cos th)) (/ (pow (sqrt a1) 2) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (pow (sqrt a1) 2) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (pow (sqrt a1) 2) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (pow (sqrt a1) 2) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ a1 (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ a1 (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ a1 (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ a1 (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (sqrt (pow a1 2)) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (sqrt (pow a1 2)) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (sqrt (pow a1 2)) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (sqrt (pow a1 2)) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (pow a1 (/ 2 2)) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (pow a1 (/ 2 2)) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (pow a1 (/ 2 2)) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (pow a1 (/ 2 2)) (sqrt (sqrt 2.0)))) (* (cos th) (* (cbrt (/ (pow a1 2) (sqrt 2.0))) (cbrt (/ (pow a1 2) (sqrt 2.0))))) (* (cos th) (sqrt (/ (pow a1 2) (sqrt 2.0)))) (* (cos th) (/ (pow (* (cbrt a1) (cbrt a1)) 2) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cos th) (/ (pow (* (cbrt a1) (cbrt a1)) 2) (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cos th) (/ (pow (* (cbrt a1) (cbrt a1)) 2) (sqrt (sqrt 2.0)))) (* (cos th) (/ (pow (* (cbrt a1) (cbrt a1)) 2) (sqrt 1))) (* (cos th) (/ (pow (* (cbrt 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(cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cos th) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cos th) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (sqrt (sqrt 2.0)))) (* (cos th) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (sqrt 1))) (* (cos th) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (sqrt (sqrt 2.0)))) (* (cos th) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) 1)) (* (cos th) (/ (sqrt (pow a1 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cos th) (/ (sqrt (pow a1 2)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cos th) (/ (sqrt (pow a1 2)) (sqrt (sqrt 2.0)))) (* (cos th) (/ (sqrt (pow a1 2)) (sqrt 1))) (* (cos th) (/ (sqrt (pow a1 2)) (sqrt (sqrt 2.0)))) (* (cos th) (/ (sqrt (pow a1 2)) 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) (/ (pow a1 (/ 2 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cos th) (/ (pow a1 (/ 2 2)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cos th) (/ (pow a1 (/ 2 2)) (sqrt (sqrt 2.0)))) (* (cos th) (/ (pow a1 (/ 2 2)) (sqrt 1))) (* (cos th) (/ (pow a1 (/ 2 2)) (sqrt (sqrt 2.0)))) (* (cos th) (/ (pow a1 (/ 2 2)) 1)) (* (cos th) 1) (* (cos th) (pow a1 2)) (* (cbrt (cos th)) (/ (pow a1 2) (sqrt 2.0))) (* (sqrt (cos th)) (/ (pow a1 2) (sqrt 2.0))) (* (cos th) (/ (pow a1 2) (sqrt 2.0))) (* (cos th) (pow a1 2)) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)) (/ (pow a1 2) (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)) 2.440 * * [simplify]: iteration 0 : 300 enodes (cost 3180 ) 2.545 * * [simplify]: iteration 1 : 688 enodes (cost 2857 ) 2.963 * * [simplify]: iteration 2 : 2351 enodes (cost 2526 ) 3.435 * * [simplify]: iteration done : 5000 enodes (cost 2510 ) 3.436 * [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)) (cbrt (cos th))) (fabs (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))) (/ (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))) (/ (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 (/ (pow a1 2) (sqrt 2.0))) (log (/ (pow a1 2) (sqrt 2.0))) (log (/ (pow a1 2) (sqrt 2.0))) (log (/ (pow a1 2) (sqrt 2.0))) (exp (/ (pow a1 2) (sqrt 2.0))) (pow (/ (pow a1 2) (sqrt 2.0)) 3) (* (cbrt (/ (pow a1 2) (sqrt 2.0))) (cbrt (/ (pow a1 2) (sqrt 2.0)))) (cbrt (/ (pow a1 2) (sqrt 2.0))) (pow (/ (pow a1 2) (sqrt 2.0)) 3) (sqrt (/ (pow a1 2) (sqrt 2.0))) (sqrt (/ (pow a1 2) (sqrt 2.0))) (- (pow a1 2)) (- (sqrt 2.0)) (/ (pow (cbrt a1) 4) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (pow (cbrt a1) 2) (cbrt (sqrt 2.0))) (/ (pow (cbrt a1) 4) (fabs (cbrt 2.0))) (/ (pow (cbrt a1) 2) (sqrt (cbrt 2.0))) (/ (pow (cbrt a1) 4) (sqrt (sqrt 2.0))) (/ (pow (cbrt a1) 2) (sqrt (sqrt 2.0))) (pow (cbrt a1) 4) (/ (pow (cbrt a1) 2) (sqrt 2.0)) (/ (pow (cbrt a1) 4) (sqrt (sqrt 2.0))) (/ (pow (cbrt a1) 2) (sqrt (sqrt 2.0))) (pow (cbrt a1) 4) (/ (pow (cbrt a1) 2) (sqrt 2.0)) (/ a1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ a1 (cbrt (sqrt 2.0))) (/ a1 (fabs (cbrt 2.0))) (/ a1 (sqrt (cbrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) a1 (/ a1 (sqrt 2.0)) (/ a1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) a1 (/ a1 (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (pow a1 2) (cbrt (sqrt 2.0))) (/ 1 (fabs (cbrt 2.0))) (/ (pow a1 2) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (pow a1 2) (sqrt (sqrt 2.0))) 1 (/ (pow a1 2) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (pow a1 2) (sqrt (sqrt 2.0))) 1 (/ (pow a1 2) (sqrt 2.0)) (/ a1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ a1 (cbrt (sqrt 2.0))) (/ a1 (fabs (cbrt 2.0))) (/ a1 (sqrt (cbrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) a1 (/ a1 (sqrt 2.0)) (/ a1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) a1 (/ a1 (sqrt 2.0)) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (pow a1 2)) (cbrt (sqrt 2.0))) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (fabs (cbrt 2.0))) (/ (cbrt (pow a1 2)) (sqrt (cbrt 2.0))) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (sqrt (sqrt 2.0))) (/ (cbrt (pow a1 2)) (sqrt (sqrt 2.0))) (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (/ (cbrt (pow a1 2)) (sqrt 2.0)) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (sqrt (sqrt 2.0))) (/ (cbrt (pow a1 2)) (sqrt (sqrt 2.0))) (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (/ (cbrt (pow a1 2)) (sqrt 2.0)) (/ (fabs a1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (fabs a1) (cbrt (sqrt 2.0))) (/ (fabs a1) (fabs (cbrt 2.0))) (/ (fabs a1) (sqrt (cbrt 2.0))) (/ (fabs a1) (sqrt (sqrt 2.0))) (/ (fabs a1) (sqrt (sqrt 2.0))) (fabs a1) (/ (fabs a1) (sqrt 2.0)) (/ (fabs a1) (sqrt (sqrt 2.0))) (/ (fabs a1) (sqrt (sqrt 2.0))) (fabs a1) (/ (fabs a1) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (pow a1 2) (cbrt (sqrt 2.0))) (/ 1 (fabs (cbrt 2.0))) (/ (pow a1 2) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (pow a1 2) (sqrt (sqrt 2.0))) 1 (/ (pow a1 2) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (pow a1 2) (sqrt (sqrt 2.0))) 1 (/ (pow a1 2) (sqrt 2.0)) (/ a1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ a1 (cbrt (sqrt 2.0))) (/ a1 (fabs (cbrt 2.0))) (/ a1 (sqrt (cbrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) a1 (/ a1 (sqrt 2.0)) (/ a1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) a1 (/ a1 (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (pow a1 2)) (/ (pow a1 2) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (pow a1 2) (fabs (cbrt 2.0))) (/ (pow a1 2) (sqrt (sqrt 2.0))) (pow a1 2) (/ (pow a1 2) (sqrt (sqrt 2.0))) (pow a1 2) (/ (sqrt 2.0) (pow (cbrt a1) 2)) (/ (sqrt 2.0) a1) (/ (sqrt 2.0) (pow a1 2)) (/ (sqrt 2.0) a1) (/ (sqrt 2.0) (cbrt (pow a1 2))) (/ (sqrt 2.0) (fabs a1)) (/ (sqrt 2.0) (pow a1 2)) (/ (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)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (log (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (log (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (log (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (log (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (log (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (exp (* (cos th) (/ (pow a1 2) (sqrt 2.0)))) (pow (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) 3) (pow (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) 3) (* (cbrt (* (cos th) (/ (pow a1 2) (sqrt 2.0)))) (cbrt (* (cos th) (/ (pow a1 2) (sqrt 2.0))))) (cbrt (* (cos th) (/ (pow a1 2) (sqrt 2.0)))) (pow (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) 3) (sqrt (* (cos th) (/ (pow a1 2) (sqrt 2.0)))) (sqrt (* (cos th) (/ (pow a1 2) (sqrt 2.0)))) (* (sqrt (cos th)) (sqrt (/ (pow a1 2) (sqrt 2.0)))) (* (sqrt (cos th)) (sqrt (/ (pow a1 2) (sqrt 2.0)))) (* (/ a1 (sqrt (sqrt 2.0))) (sqrt (cos th))) (* (/ a1 (sqrt (sqrt 2.0))) (sqrt (cos th))) (* (/ a1 (sqrt (sqrt 2.0))) (sqrt (cos th))) (* (/ a1 (sqrt (sqrt 2.0))) (sqrt (cos th))) (* (/ a1 (sqrt (sqrt 2.0))) (sqrt (cos th))) (* (/ a1 (sqrt (sqrt 2.0))) (sqrt (cos th))) (* (/ 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(cos th) (/ a1 (sqrt (sqrt 2.0)))) (* a1 (cos th)) (* (cos th) (/ a1 (sqrt (sqrt 2.0)))) (* 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) (/ a1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (/ a1 (fabs (cbrt 2.0))) (cos th)) (* (cos th) (/ a1 (sqrt (sqrt 2.0)))) (* a1 (cos th)) (* (cos th) (/ a1 (sqrt (sqrt 2.0)))) (* a1 (cos th)) (* (cos th) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (cos th)) (fabs (cbrt 2.0))) (* (cos th) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (sqrt (sqrt 2.0)))) (* (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (cos th)) (* (cos th) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (sqrt (sqrt 2.0)))) (* (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (cos th)) (* (/ (fabs a1) (cbrt (sqrt 2.0))) (/ (cos th) (cbrt (sqrt 2.0)))) (/ (cos th) (/ (fabs (cbrt 2.0)) (fabs a1))) (* (cos th) (/ (fabs a1) (sqrt (sqrt 2.0)))) (* (cos th) (fabs a1)) (* (cos th) (/ (fabs a1) (sqrt (sqrt 2.0)))) (* (cos th) (fabs a1)) (/ (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) (/ a1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (/ a1 (fabs (cbrt 2.0))) (cos th)) (* (cos th) (/ a1 (sqrt (sqrt 2.0)))) (* a1 (cos th)) (* (cos th) (/ a1 (sqrt (sqrt 2.0)))) (* a1 (cos th)) (cos th) (* (pow a1 2) (cos th)) (* (cbrt (cos th)) (/ (pow a1 2) (sqrt 2.0))) (* (sqrt (cos th)) (/ (pow a1 2) (sqrt 2.0))) (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (* (pow a1 2) (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)) (/ (pow a1 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)) (/ (pow a1 2) (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)))) (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) 3.438 * * * [progress]: adding candidates to table 4.002 * * [progress]: iteration 3 / 4 4.002 * * * [progress]: picking best candidate 4.028 * * * * [pick]: Picked # 4.028 * * * [progress]: localizing error 4.044 * * * [progress]: generating rewritten candidates 4.044 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 4.049 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 4.067 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 4.073 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.239 * * * [progress]: generating series expansions 4.239 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 4.240 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0 4.240 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 4.240 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.240 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.240 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.240 * [taylor]: Taking taylor expansion of 2.0 in th 4.243 * [taylor]: Taking taylor expansion of (cos th) in th 4.243 * [taylor]: Taking taylor expansion of th in th 4.243 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 4.243 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.243 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.243 * [taylor]: Taking taylor expansion of 2.0 in th 4.247 * [taylor]: Taking taylor expansion of (cos th) in th 4.247 * [taylor]: Taking taylor expansion of th in th 4.273 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0 4.273 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 4.273 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.273 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.273 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.273 * [taylor]: Taking taylor expansion of 2.0 in th 4.286 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.286 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.286 * [taylor]: Taking taylor expansion of th in th 4.286 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 4.286 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.286 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.286 * [taylor]: Taking taylor expansion of 2.0 in th 4.290 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.290 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.290 * [taylor]: Taking taylor expansion of th in th 4.311 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0 4.311 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 4.311 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.311 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.311 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.311 * [taylor]: Taking taylor expansion of 2.0 in th 4.314 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.314 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.314 * [taylor]: Taking taylor expansion of -1 in th 4.314 * [taylor]: Taking taylor expansion of th in th 4.315 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 4.315 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.315 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.315 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.315 * [taylor]: Taking taylor expansion of 2.0 in th 4.318 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.318 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.318 * [taylor]: Taking taylor expansion of -1 in th 4.318 * [taylor]: Taking taylor expansion of th in th 4.340 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.341 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 4.341 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 4.341 * [taylor]: Taking taylor expansion of (cos th) in th 4.341 * [taylor]: Taking taylor expansion of th in th 4.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.341 * [taylor]: Taking taylor expansion of 2.0 in th 4.343 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 4.343 * [taylor]: Taking taylor expansion of (cos th) in th 4.343 * [taylor]: Taking taylor expansion of th in th 4.343 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.343 * [taylor]: Taking taylor expansion of 2.0 in th 4.362 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 4.362 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 4.362 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.362 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.362 * [taylor]: Taking taylor expansion of th in th 4.362 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.362 * [taylor]: Taking taylor expansion of 2.0 in th 4.368 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 4.368 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.368 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.368 * [taylor]: Taking taylor expansion of th in th 4.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.369 * [taylor]: Taking taylor expansion of 2.0 in th 4.385 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 4.385 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 4.385 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.385 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.385 * [taylor]: Taking taylor expansion of -1 in th 4.385 * [taylor]: Taking taylor expansion of th in th 4.386 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.386 * [taylor]: Taking taylor expansion of 2.0 in th 4.387 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 4.387 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.387 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.387 * [taylor]: Taking taylor expansion of -1 in th 4.387 * [taylor]: Taking taylor expansion of th in th 4.387 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.387 * [taylor]: Taking taylor expansion of 2.0 in th 4.404 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 4.404 * [approximate]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in (a1) around 0 4.404 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 4.404 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.404 * [taylor]: Taking taylor expansion of a1 in a1 4.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.404 * [taylor]: Taking taylor expansion of 2.0 in a1 4.405 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 4.405 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.406 * [taylor]: Taking taylor expansion of a1 in a1 4.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.406 * [taylor]: Taking taylor expansion of 2.0 in a1 4.419 * [approximate]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in (a1) around 0 4.420 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in a1 4.420 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 4.420 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.420 * [taylor]: Taking taylor expansion of a1 in a1 4.420 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.420 * [taylor]: Taking taylor expansion of 2.0 in a1 4.422 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in a1 4.422 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 4.422 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.422 * [taylor]: Taking taylor expansion of a1 in a1 4.422 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.422 * [taylor]: Taking taylor expansion of 2.0 in a1 4.440 * [approximate]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in (a1) around 0 4.440 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in a1 4.440 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 4.440 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.440 * [taylor]: Taking taylor expansion of a1 in a1 4.440 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.440 * [taylor]: Taking taylor expansion of 2.0 in a1 4.442 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in a1 4.442 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 4.442 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.442 * [taylor]: Taking taylor expansion of a1 in a1 4.442 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.442 * [taylor]: Taking taylor expansion of 2.0 in a1 4.466 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.467 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0 4.467 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2 4.467 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 4.467 * [taylor]: Taking taylor expansion of (cos th) in a2 4.467 * [taylor]: Taking taylor expansion of th in a2 4.467 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.467 * [taylor]: Taking taylor expansion of a2 in a2 4.468 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.468 * [taylor]: Taking taylor expansion of 2.0 in a2 4.469 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 4.469 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 4.469 * [taylor]: Taking taylor expansion of (cos th) in th 4.469 * [taylor]: Taking taylor expansion of th in th 4.469 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.469 * [taylor]: Taking taylor expansion of a2 in th 4.469 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.469 * [taylor]: Taking taylor expansion of 2.0 in th 4.470 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 4.470 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 4.470 * [taylor]: Taking taylor expansion of (cos th) in th 4.470 * [taylor]: Taking taylor expansion of th in th 4.470 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.470 * [taylor]: Taking taylor expansion of a2 in th 4.470 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.470 * [taylor]: Taking taylor expansion of 2.0 in th 4.471 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 4.471 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.471 * [taylor]: Taking taylor expansion of a2 in a2 4.472 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.472 * [taylor]: Taking taylor expansion of 2.0 in a2 4.475 * [taylor]: Taking taylor expansion of 0 in a2 4.479 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2 4.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2 4.479 * [taylor]: Taking taylor expansion of 1/2 in a2 4.479 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 4.480 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.480 * [taylor]: Taking taylor expansion of a2 in a2 4.480 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.480 * [taylor]: Taking taylor expansion of 2.0 in a2 4.491 * [taylor]: Taking taylor expansion of 0 in a2 4.498 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 4.498 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 4.498 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 4.498 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 4.498 * [taylor]: Taking taylor expansion of th in a2 4.498 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 4.498 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.498 * [taylor]: Taking taylor expansion of 2.0 in a2 4.499 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.499 * [taylor]: Taking taylor expansion of a2 in a2 4.500 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 4.500 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.500 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.500 * [taylor]: Taking taylor expansion of th in th 4.500 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 4.500 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.500 * [taylor]: Taking taylor expansion of 2.0 in th 4.501 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.501 * [taylor]: Taking taylor expansion of a2 in th 4.502 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 4.502 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.502 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.502 * [taylor]: Taking taylor expansion of th in th 4.502 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 4.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.503 * [taylor]: Taking taylor expansion of 2.0 in th 4.503 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.503 * [taylor]: Taking taylor expansion of a2 in th 4.504 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 4.504 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 4.504 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 4.504 * [taylor]: Taking taylor expansion of th in a2 4.504 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 4.504 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.504 * [taylor]: Taking taylor expansion of 2.0 in a2 4.505 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.505 * [taylor]: Taking taylor expansion of a2 in a2 4.509 * [taylor]: Taking taylor expansion of 0 in a2 4.515 * [taylor]: Taking taylor expansion of 0 in a2 4.523 * [taylor]: Taking taylor expansion of 0 in a2 4.540 * [taylor]: Taking taylor expansion of 0 in a2 4.541 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 4.541 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 4.541 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 4.541 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 4.541 * [taylor]: Taking taylor expansion of -1 in a2 4.541 * [taylor]: Taking taylor expansion of th in a2 4.542 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 4.542 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.542 * [taylor]: Taking taylor expansion of 2.0 in a2 4.542 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.542 * [taylor]: Taking taylor expansion of a2 in a2 4.544 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 4.544 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.544 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.544 * [taylor]: Taking taylor expansion of -1 in th 4.544 * [taylor]: Taking taylor expansion of th in th 4.544 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 4.544 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.544 * [taylor]: Taking taylor expansion of 2.0 in th 4.545 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.545 * [taylor]: Taking taylor expansion of a2 in th 4.546 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 4.546 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.546 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.546 * [taylor]: Taking taylor expansion of -1 in th 4.546 * [taylor]: Taking taylor expansion of th in th 4.546 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 4.546 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.546 * [taylor]: Taking taylor expansion of 2.0 in th 4.547 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.547 * [taylor]: Taking taylor expansion of a2 in th 4.547 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 4.547 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 4.547 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 4.547 * [taylor]: Taking taylor expansion of -1 in a2 4.547 * [taylor]: Taking taylor expansion of th in a2 4.548 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 4.548 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.548 * [taylor]: Taking taylor expansion of 2.0 in a2 4.548 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.548 * [taylor]: Taking taylor expansion of a2 in a2 4.551 * [taylor]: Taking taylor expansion of 0 in a2 4.558 * [taylor]: Taking taylor expansion of 0 in a2 4.567 * [taylor]: Taking taylor expansion of 0 in a2 4.577 * [taylor]: Taking taylor expansion of 0 in a2 4.578 * * * [progress]: simplifying candidates 4.592 * [simplify]: Simplifying using # : (- (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 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iteration 2 : 4113 enodes (cost 12420 ) 6.512 * * [simplify]: iteration done : 5001 enodes (cost 12418 ) 6.518 * [simplify]: Simplified to: (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (exp (/ (cos th) (sqrt (sqrt 2.0)))) (pow (/ (cos th) (sqrt (sqrt 2.0))) 3) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (pow (/ (cos th) (sqrt (sqrt 2.0))) 3) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (- (cos th)) (- (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (/ (cbrt (cos th)) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (cos th)))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) 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2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) a2) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) a2) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (* a2 a2) (/ (sqrt (cos th)) (sqrt 2.0))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (* a2 a2) (/ (sqrt (cos th)) (sqrt 2.0))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (* a2 a2) (/ (sqrt (cos th)) (sqrt 2.0))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (* a2 a2) (/ (cos th) (cbrt (sqrt 2.0)))) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2)) (/ (* (cos th) (pow a2 2)) (sqrt (cbrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* a2 a2) (* (sqrt (sqrt 2.0)) (cbrt (sqrt (sqrt 2.0))))) (/ (* a2 a2) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (* a2 a2) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (cbrt 2.0))))) (/ (* a2 a2) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0))))) (/ (pow a2 2) (sqrt 2.0)) (/ (* a2 a2) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0))))) (/ (pow a2 2) (sqrt 2.0)) (/ (* a2 a2) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0))))) (/ (pow a2 2) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* a2 a2) (sqrt (sqrt 2.0))) (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th))) (+ (* (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)) (/ (pow a1 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)) (/ (pow a1 2) (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)) 6.526 * * * [progress]: adding candidates to table 8.305 * * [progress]: iteration 4 / 4 8.305 * * * [progress]: picking best candidate 8.329 * * * * [pick]: Picked # 8.329 * * * [progress]: localizing error 8.347 * * * [progress]: generating rewritten candidates 8.347 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.694 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 8.699 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 8.709 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 8.826 * * * [progress]: generating series expansions 8.826 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.830 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (a2 th) around 0 8.830 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 8.830 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 8.830 * [taylor]: Taking taylor expansion of (cos th) in th 8.830 * [taylor]: Taking taylor expansion of th in th 8.830 * [taylor]: Taking taylor expansion of (pow a2 2) in th 8.830 * [taylor]: Taking taylor expansion of a2 in th 8.830 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 8.830 * [taylor]: Taking taylor expansion of 2.0 in th 8.831 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2 8.831 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 8.831 * [taylor]: Taking taylor expansion of (cos th) in a2 8.831 * [taylor]: Taking taylor expansion of th in a2 8.831 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 8.831 * [taylor]: Taking taylor expansion of a2 in a2 8.831 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 8.831 * [taylor]: Taking taylor expansion of 2.0 in a2 8.833 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2 8.833 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 8.833 * [taylor]: Taking taylor expansion of (cos th) in a2 8.833 * [taylor]: Taking taylor expansion of th in a2 8.833 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 8.833 * [taylor]: Taking taylor expansion of a2 in a2 8.833 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 8.833 * [taylor]: Taking taylor expansion of 2.0 in a2 8.834 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 8.834 * [taylor]: Taking taylor expansion of (cos th) in th 8.834 * [taylor]: Taking taylor expansion of th in th 8.834 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 8.835 * [taylor]: Taking taylor expansion of 2.0 in th 8.839 * [taylor]: Taking taylor expansion of 0 in th 8.845 * [taylor]: Taking taylor expansion of 0 in th 8.856 * [taylor]: Taking taylor expansion of 0 in th 8.865 * [taylor]: Taking taylor expansion of 0 in th 8.871 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (a2 th) around 0 8.871 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 8.871 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 8.871 * [taylor]: Taking taylor expansion of (/ 1 th) in th 8.871 * [taylor]: Taking taylor expansion of th in th 8.872 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 8.872 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 8.872 * [taylor]: Taking taylor expansion of 2.0 in th 8.872 * [taylor]: Taking taylor expansion of (pow a2 2) in th 8.872 * [taylor]: Taking taylor expansion of a2 in th 8.873 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 8.873 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 8.873 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 8.873 * [taylor]: Taking taylor expansion of th in a2 8.873 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 8.873 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 8.873 * [taylor]: Taking taylor expansion of 2.0 in a2 8.874 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 8.874 * [taylor]: Taking taylor expansion of a2 in a2 8.876 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 8.876 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 8.876 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 8.876 * [taylor]: Taking taylor expansion of th in a2 8.876 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 8.876 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 8.876 * [taylor]: Taking taylor expansion of 2.0 in a2 8.876 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 8.877 * [taylor]: Taking taylor expansion of a2 in a2 8.878 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 8.878 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 8.878 * [taylor]: Taking taylor expansion of (/ 1 th) in th 8.878 * [taylor]: Taking taylor expansion of th in th 8.879 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 8.879 * [taylor]: Taking taylor expansion of 2.0 in th 8.890 * [taylor]: Taking taylor expansion of 0 in th 8.897 * [taylor]: Taking taylor expansion of 0 in th 8.905 * [taylor]: Taking taylor expansion of 0 in th 8.908 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (a2 th) around 0 8.908 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 8.908 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 8.908 * [taylor]: Taking taylor expansion of (/ -1 th) in th 8.908 * [taylor]: Taking taylor expansion of -1 in th 8.909 * [taylor]: Taking taylor expansion of th in th 8.909 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 8.909 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 8.909 * [taylor]: Taking taylor expansion of 2.0 in th 8.910 * [taylor]: Taking taylor expansion of (pow a2 2) in th 8.910 * [taylor]: Taking taylor expansion of a2 in th 8.910 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 8.910 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 8.910 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 8.910 * [taylor]: Taking taylor expansion of -1 in a2 8.910 * [taylor]: Taking taylor expansion of th in a2 8.910 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 8.910 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 8.911 * [taylor]: Taking taylor expansion of 2.0 in a2 8.911 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 8.911 * [taylor]: Taking taylor expansion of a2 in a2 8.913 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 8.913 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 8.913 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 8.913 * [taylor]: Taking taylor expansion of -1 in a2 8.913 * [taylor]: Taking taylor expansion of th in a2 8.913 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 8.913 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 8.913 * [taylor]: Taking taylor expansion of 2.0 in a2 8.914 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 8.914 * [taylor]: Taking taylor expansion of a2 in a2 8.915 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 8.915 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 8.915 * [taylor]: Taking taylor expansion of (/ -1 th) in th 8.915 * [taylor]: Taking taylor expansion of -1 in th 8.915 * [taylor]: Taking taylor expansion of th in th 8.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 8.916 * [taylor]: Taking taylor expansion of 2.0 in th 8.921 * [taylor]: Taking taylor expansion of 0 in th 8.927 * [taylor]: Taking taylor expansion of 0 in th 8.935 * [taylor]: Taking taylor expansion of 0 in th 8.935 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 8.936 * [approximate]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in (a1) around 0 8.936 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 8.936 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 8.936 * [taylor]: Taking taylor expansion of a1 in a1 8.936 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 8.936 * [taylor]: Taking taylor expansion of 2.0 in a1 8.937 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 8.937 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 8.937 * [taylor]: Taking taylor expansion of a1 in a1 8.937 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 8.937 * [taylor]: Taking taylor expansion of 2.0 in a1 8.951 * [approximate]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in (a1) around 0 8.951 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in a1 8.951 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 8.951 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 8.951 * [taylor]: Taking taylor expansion of a1 in a1 8.951 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 8.951 * [taylor]: Taking taylor expansion of 2.0 in a1 8.953 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in a1 8.953 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 8.953 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 8.953 * [taylor]: Taking taylor expansion of a1 in a1 8.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 8.954 * [taylor]: Taking taylor expansion of 2.0 in a1 8.978 * [approximate]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in (a1) around 0 8.978 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in a1 8.978 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 8.978 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 8.978 * [taylor]: Taking taylor expansion of a1 in a1 8.978 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 8.978 * [taylor]: Taking taylor expansion of 2.0 in a1 8.980 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2.0))) in a1 8.980 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 8.980 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 8.980 * [taylor]: Taking taylor expansion of a1 in a1 8.980 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 8.981 * [taylor]: Taking taylor expansion of 2.0 in a1 8.999 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 8.999 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (pow a2 2))) in (a2 th) around 0 8.999 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (pow a2 2))) in th 8.999 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 8.999 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 8.999 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 8.999 * [taylor]: Taking taylor expansion of 2.0 in th 9.003 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 9.003 * [taylor]: Taking taylor expansion of (cos th) in th 9.003 * [taylor]: Taking taylor expansion of th in th 9.003 * [taylor]: Taking taylor expansion of (pow a2 2) in th 9.003 * [taylor]: Taking taylor expansion of a2 in th 9.003 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (pow a2 2))) in a2 9.003 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2 9.003 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 9.003 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 9.003 * [taylor]: Taking taylor expansion of 2.0 in a2 9.006 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 9.006 * [taylor]: Taking taylor expansion of (cos th) in a2 9.006 * [taylor]: Taking taylor expansion of th in a2 9.006 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 9.006 * [taylor]: Taking taylor expansion of a2 in a2 9.006 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (pow a2 2))) in a2 9.006 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2 9.006 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 9.006 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 9.006 * [taylor]: Taking taylor expansion of 2.0 in a2 9.010 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 9.010 * [taylor]: Taking taylor expansion of (cos th) in a2 9.010 * [taylor]: Taking taylor expansion of th in a2 9.010 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 9.010 * [taylor]: Taking taylor expansion of a2 in a2 9.011 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 9.011 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 9.011 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 9.011 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 9.011 * [taylor]: Taking taylor expansion of 2.0 in th 9.015 * [taylor]: Taking taylor expansion of (cos th) in th 9.015 * [taylor]: Taking taylor expansion of th in th 9.020 * [taylor]: Taking taylor expansion of 0 in th 9.027 * [taylor]: Taking taylor expansion of 0 in th 9.040 * [taylor]: Taking taylor expansion of 0 in th 9.058 * [taylor]: Taking taylor expansion of 0 in th 9.062 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ 1 th)) (pow a2 2))) in (a2 th) around 0 9.062 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ 1 th)) (pow a2 2))) in th 9.062 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 9.062 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 9.062 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 9.062 * [taylor]: Taking taylor expansion of 2.0 in th 9.066 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 2)) in th 9.066 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 9.066 * [taylor]: Taking taylor expansion of (/ 1 th) in th 9.066 * [taylor]: Taking taylor expansion of th in th 9.066 * [taylor]: Taking taylor expansion of (pow a2 2) in th 9.066 * [taylor]: Taking taylor expansion of a2 in th 9.066 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ 1 th)) (pow a2 2))) in a2 9.066 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2 9.066 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 9.066 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 9.066 * [taylor]: Taking taylor expansion of 2.0 in a2 9.070 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 2)) in a2 9.070 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 9.070 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 9.070 * [taylor]: Taking taylor expansion of th in a2 9.070 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 9.070 * [taylor]: Taking taylor expansion of a2 in a2 9.071 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ 1 th)) (pow a2 2))) in a2 9.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2 9.071 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 9.071 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 9.071 * [taylor]: Taking taylor expansion of 2.0 in a2 9.074 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 2)) in a2 9.074 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 9.074 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 9.074 * [taylor]: Taking taylor expansion of th in a2 9.074 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 9.074 * [taylor]: Taking taylor expansion of a2 in a2 9.076 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 9.076 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 9.076 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 9.076 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 9.076 * [taylor]: Taking taylor expansion of 2.0 in th 9.079 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 9.079 * [taylor]: Taking taylor expansion of (/ 1 th) in th 9.079 * [taylor]: Taking taylor expansion of th in th 9.084 * [taylor]: Taking taylor expansion of 0 in th 9.091 * [taylor]: Taking taylor expansion of 0 in th 9.101 * [taylor]: Taking taylor expansion of 0 in th 9.103 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ -1 th)) (pow a2 2))) in (a2 th) around 0 9.103 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ -1 th)) (pow a2 2))) in th 9.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 9.103 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 9.103 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 9.103 * [taylor]: Taking taylor expansion of 2.0 in th 9.107 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (pow a2 2)) in th 9.107 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 9.107 * [taylor]: Taking taylor expansion of (/ -1 th) in th 9.107 * [taylor]: Taking taylor expansion of -1 in th 9.107 * [taylor]: Taking taylor expansion of th in th 9.107 * [taylor]: Taking taylor expansion of (pow a2 2) in th 9.107 * [taylor]: Taking taylor expansion of a2 in th 9.107 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ -1 th)) (pow a2 2))) in a2 9.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2 9.107 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 9.107 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 9.107 * [taylor]: Taking taylor expansion of 2.0 in a2 9.111 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (pow a2 2)) in a2 9.111 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 9.111 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 9.111 * [taylor]: Taking taylor expansion of -1 in a2 9.111 * [taylor]: Taking taylor expansion of th in a2 9.111 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 9.111 * [taylor]: Taking taylor expansion of a2 in a2 9.112 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ -1 th)) (pow a2 2))) in a2 9.112 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2 9.112 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 9.112 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 9.112 * [taylor]: Taking taylor expansion of 2.0 in a2 9.115 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (pow a2 2)) in a2 9.115 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 9.115 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 9.115 * [taylor]: Taking taylor expansion of -1 in a2 9.115 * [taylor]: Taking taylor expansion of th in a2 9.115 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 9.115 * [taylor]: Taking taylor expansion of a2 in a2 9.117 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 9.117 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 9.117 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 9.117 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 9.117 * [taylor]: Taking taylor expansion of 2.0 in th 9.120 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 9.120 * [taylor]: Taking taylor expansion of (/ -1 th) in th 9.120 * [taylor]: Taking taylor expansion of -1 in th 9.120 * [taylor]: Taking taylor expansion of th in th 9.126 * [taylor]: Taking taylor expansion of 0 in th 9.133 * [taylor]: Taking taylor expansion of 0 in th 9.149 * [taylor]: Taking taylor expansion of 0 in th 9.150 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 9.151 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos th))) in (th) around 0 9.151 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos th))) in th 9.151 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th 9.151 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 9.151 * [taylor]: Taking taylor expansion of 2.0 in th 9.153 * [taylor]: Taking taylor expansion of (/ 1 (cos th)) in th 9.153 * [taylor]: Taking taylor expansion of (cos th) in th 9.153 * [taylor]: Taking taylor expansion of th in th 9.153 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos th))) in th 9.153 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th 9.153 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 9.153 * [taylor]: Taking taylor expansion of 2.0 in th 9.155 * [taylor]: Taking taylor expansion of (/ 1 (cos th)) in th 9.155 * [taylor]: Taking taylor expansion of (cos th) in th 9.155 * [taylor]: Taking taylor expansion of th in th 9.177 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th)))) in (th) around 0 9.177 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th)))) in th 9.177 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th 9.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 9.177 * [taylor]: Taking taylor expansion of 2.0 in th 9.179 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ 1 th))) in th 9.179 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 9.179 * [taylor]: Taking taylor expansion of (/ 1 th) in th 9.179 * [taylor]: Taking taylor expansion of th in th 9.179 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th)))) in th 9.179 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th 9.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 9.179 * [taylor]: Taking taylor expansion of 2.0 in th 9.181 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ 1 th))) in th 9.181 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 9.181 * [taylor]: Taking taylor expansion of (/ 1 th) in th 9.181 * [taylor]: Taking taylor expansion of th in th 9.198 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th)))) in (th) around 0 9.198 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th)))) in th 9.198 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th 9.198 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 9.198 * [taylor]: Taking taylor expansion of 2.0 in th 9.200 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ -1 th))) in th 9.200 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 9.200 * [taylor]: Taking taylor expansion of (/ -1 th) in th 9.200 * [taylor]: Taking taylor expansion of -1 in th 9.200 * [taylor]: Taking taylor expansion of th in th 9.200 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th)))) in th 9.200 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th 9.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 9.200 * [taylor]: Taking taylor expansion of 2.0 in th 9.202 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ -1 th))) in th 9.202 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 9.202 * [taylor]: Taking taylor expansion of (/ -1 th) in th 9.202 * [taylor]: Taking taylor expansion of -1 in th 9.202 * [taylor]: Taking taylor expansion of th in th 9.219 * * * [progress]: simplifying candidates 9.245 * [simplify]: Simplifying using # : (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th)))) (+ (- (- (log (sqrt (sqrt (sqrt 2.0))))) (log (sqrt (sqrt (sqrt 2.0))))) (- (+ (log a2) (log a2)) (- (log (sqrt (sqrt 2.0))) (log (cos th))))) (+ (- (- (log (sqrt (sqrt (sqrt 2.0))))) (log (sqrt (sqrt (sqrt 2.0))))) (- (+ (log a2) (log a2)) (log (/ (sqrt (sqrt 2.0)) (cos th))))) (+ (- (- (log (sqrt (sqrt (sqrt 2.0))))) (log (sqrt (sqrt (sqrt 2.0))))) (- (log (* a2 a2)) (- (log (sqrt (sqrt 2.0))) (log (cos th))))) (+ (- (- (log (sqrt (sqrt (sqrt 2.0))))) (log (sqrt (sqrt (sqrt 2.0))))) (- (log (* a2 a2)) (log (/ (sqrt (sqrt 2.0)) (cos th))))) (+ (- (- (log (sqrt (sqrt (sqrt 2.0))))) (log (sqrt (sqrt (sqrt 2.0))))) (log (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th))))) (+ (- (- 0 (log (sqrt (sqrt (sqrt 2.0))))) (log (sqrt (sqrt (sqrt 2.0))))) (- (+ (log a2) (log a2)) (- (log (sqrt (sqrt 2.0))) (log (cos th))))) (+ (- (- 0 (log (sqrt (sqrt (sqrt 2.0))))) (log (sqrt (sqrt (sqrt 2.0))))) (- (+ (log a2) (log a2)) (log (/ (sqrt (sqrt 2.0)) (cos th))))) (+ (- (- 0 (log (sqrt (sqrt (sqrt 2.0))))) (log (sqrt (sqrt (sqrt 2.0))))) (- (log (* a2 a2)) (- (log (sqrt (sqrt 2.0))) (log (cos th))))) (+ (- (- 0 (log (sqrt (sqrt (sqrt 2.0))))) (log (sqrt (sqrt (sqrt 2.0))))) (- (log (* a2 a2)) (log (/ (sqrt (sqrt 2.0)) (cos th))))) (+ (- (- 0 (log (sqrt (sqrt (sqrt 2.0))))) (log (sqrt (sqrt (sqrt 2.0))))) (log (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th))))) (+ (- (- (log 1) (log (sqrt (sqrt (sqrt 2.0))))) (log (sqrt (sqrt (sqrt 2.0))))) (- (+ (log a2) (log a2)) (- (log (sqrt (sqrt 2.0))) (log (cos 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(sqrt (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)) (/ (pow a1 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)) (- (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)) (* 1/2 (* (* (pow th 2) (pow a2 2)) (sqrt (/ 1 (sqrt 2.0)))))) (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (pow a2 2))) (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (pow a2 2))) (+ (* 5/24 (* (pow th 4) (sqrt (sqrt 2.0)))) (+ (* 1/2 (* (pow th 2) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))) (* (sqrt (sqrt 2.0)) (/ 1 (cos th))) (* (sqrt (sqrt 2.0)) (/ 1 (cos th))) 9.307 * * [simplify]: iteration 0 : 704 enodes (cost 26719 ) 9.679 * * [simplify]: iteration 1 : 2061 enodes (cost 24605 ) 10.106 * * [simplify]: iteration done : 5000 enodes (cost 22352 ) 10.115 * [simplify]: Simplified to: (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (log (/ (* (cos th) (pow a2 2)) (sqrt 2.0))) (log (/ (* (cos th) (pow a2 2)) (sqrt 2.0))) 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(sqrt (sqrt 2.0))) (/ (pow a1 2) (sqrt (sqrt 2.0))) 1 (/ (pow a1 2) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (pow a1 2) (sqrt (sqrt 2.0))) 1 (/ (pow a1 2) (sqrt 2.0)) (/ a1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ a1 (cbrt (sqrt 2.0))) (/ a1 (fabs (cbrt 2.0))) (/ a1 (sqrt (cbrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) a1 (/ a1 (sqrt 2.0)) (/ a1 (sqrt (sqrt 2.0))) (/ a1 (sqrt (sqrt 2.0))) a1 (/ a1 (sqrt 2.0)) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (pow a1 2)) (cbrt (sqrt 2.0))) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (fabs (cbrt 2.0))) (/ (cbrt (pow a1 2)) (sqrt (cbrt 2.0))) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (sqrt (sqrt 2.0))) (/ (cbrt (pow a1 2)) (sqrt (sqrt 2.0))) (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (/ (cbrt (pow a1 2)) (sqrt 2.0)) (/ (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (sqrt (sqrt 2.0))) (/ (cbrt (pow a1 2)) (sqrt (sqrt 2.0))) (* (cbrt (pow a1 2)) (cbrt (pow a1 2))) (/ (cbrt (pow a1 2)) (sqrt 2.0)) (/ (sqrt (pow a1 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (pow a1 2)) (cbrt (sqrt 2.0))) (/ (sqrt (* a1 a1)) (fabs (cbrt 2.0))) (/ (sqrt (pow a1 2)) (sqrt (cbrt 2.0))) (/ (sqrt (pow a1 2)) (sqrt (sqrt 2.0))) (/ (sqrt (pow a1 2)) (sqrt (sqrt 2.0))) (sqrt (* a1 a1)) (/ (sqrt (pow a1 2)) (sqrt 2.0)) (/ (sqrt (pow a1 2)) (sqrt (sqrt 2.0))) (/ (sqrt (pow a1 2)) (sqrt (sqrt 2.0))) (sqrt (* a1 a1)) (/ (sqrt (pow a1 2)) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (pow a1 2) (cbrt (sqrt 2.0))) (/ 1 (fabs (cbrt 2.0))) (/ (pow a1 2) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (pow a1 2) (sqrt (sqrt 2.0))) 1 (/ (pow a1 2) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (pow a1 2) (sqrt (sqrt 2.0))) 1 (/ (pow a1 2) (sqrt 2.0)) (/ (pow a1 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (pow a1 1) (cbrt (sqrt 2.0))) (/ (pow a1 1) (fabs (cbrt 2.0))) (/ (pow a1 1) (sqrt (cbrt 2.0))) (/ (pow a1 1) (sqrt (sqrt 2.0))) (/ (pow a1 1) (sqrt (sqrt 2.0))) (pow a1 1) (/ (pow a1 1) (sqrt 2.0)) (/ (pow a1 1) (sqrt (sqrt 2.0))) (/ (pow a1 1) (sqrt (sqrt 2.0))) (pow a1 1) (/ (pow a1 1) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (pow a1 2)) (/ (pow a1 2) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* a1 a1) (fabs (cbrt 2.0))) (/ (pow a1 2) (sqrt (sqrt 2.0))) (* a1 a1) (/ (pow a1 2) (sqrt (sqrt 2.0))) (* a1 a1) (/ (sqrt 2.0) (pow (cbrt a1) 2)) (/ (sqrt 2.0) (pow (sqrt a1) 2)) (/ (sqrt 2.0) (pow a1 2)) (/ (sqrt 2.0) a1) (/ (sqrt 2.0) (cbrt (pow a1 2))) (/ (sqrt 2.0) (sqrt (pow a1 2))) (/ (sqrt 2.0) (pow a1 2)) (/ (sqrt 2.0) (pow a1 1)) (log (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th)))) (log (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th)))) (log (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th)))) (log (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th)))) (log (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th)))) (exp (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (* (* (* a2 a2) a2) (* (* a2 a2) a2)) (/ (* (sqrt (sqrt 2.0)) (sqrt 2.0)) (* (* (cos th) (cos th)) (cos th)))) (/ (* (* (* a2 a2) a2) (* (* a2 a2) a2)) (/ (* (sqrt (sqrt 2.0)) (sqrt 2.0)) (* (* (cos th) (cos th)) (cos th)))) (/ (* (* (* a2 a2) a2) (* (* a2 a2) a2)) (/ (* (sqrt (sqrt 2.0)) (sqrt 2.0)) (* (* (cos th) (cos th)) (cos th)))) (/ (* (* (* a2 a2) a2) (* (* a2 a2) a2)) (/ (* (sqrt (sqrt 2.0)) (sqrt 2.0)) (* (* (cos th) (cos th)) (cos th)))) (* (cbrt (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th))))) (cbrt (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (* (* (* a2 a2) a2) (* (* a2 a2) a2)) (/ (* (sqrt (sqrt 2.0)) (sqrt 2.0)) (* (* (cos th) (cos th)) (cos th)))) (sqrt (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (/ (* a2 a2) (/ (sqrt (sqrt 2.0)) (cos th)))) (- (* a2 a2)) (- (/ (sqrt (sqrt 2.0)) (cos th))) (/ a2 (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))) (/ a2 (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ a2 (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ a2 (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ a2 (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ a2 (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (/ a2 (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))) (/ a2 (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th)))) (/ a2 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ a2 (/ (cbrt (sqrt (sqrt 2.0))) (cos th))) (/ a2 (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ a2 (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th)))) (* (/ a2 (fabs (cbrt (sqrt 2.0)))) (sqrt (cos th))) (/ a2 (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))) (/ a2 (fabs (cbrt (sqrt 2.0)))) (/ a2 (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (/ a2 (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ a2 (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th)))) (* (/ a2 (sqrt (fabs (cbrt 2.0)))) (sqrt (cos th))) (/ a2 (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))) (/ a2 (sqrt (fabs (cbrt 2.0)))) (/ a2 (/ (sqrt (sqrt (cbrt 2.0))) (cos th))) (/ a2 (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ a2 (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (/ a2 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))) (/ a2 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))) (/ a2 (sqrt (sqrt (sqrt 2.0)))) (/ a2 (/ (sqrt (sqrt (sqrt 2.0))) (cos th))) (* a2 (* (cbrt (cos th)) (cbrt (cos th)))) (/ a2 (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (* a2 (sqrt (cos th))) (* (sqrt (cos th)) (/ a2 (sqrt (sqrt 2.0)))) a2 (/ a2 (/ (sqrt (sqrt 2.0)) (cos th))) (/ a2 (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ a2 (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (/ a2 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))) (/ a2 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))) (/ a2 (sqrt (sqrt (sqrt 2.0)))) (/ a2 (/ (sqrt (sqrt (sqrt 2.0))) (cos th))) (* a2 (* (cbrt (cos th)) (cbrt (cos th)))) (/ a2 (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (* a2 (sqrt (cos th))) (* (sqrt (cos th)) (/ a2 (sqrt (sqrt 2.0)))) a2 (/ a2 (/ (sqrt (sqrt 2.0)) (cos th))) (/ a2 (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ a2 (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (/ a2 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))) (/ a2 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))) (/ a2 (sqrt (sqrt (sqrt 2.0)))) (/ a2 (/ (sqrt (sqrt (sqrt 2.0))) (cos th))) (* a2 (* (cbrt (cos th)) (cbrt (cos th)))) (/ a2 (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (* a2 (sqrt (cos th))) (* (sqrt (cos th)) (/ a2 (sqrt (sqrt 2.0)))) a2 (/ a2 (/ (sqrt (sqrt 2.0)) (cos th))) a2 (/ a2 (/ (sqrt (sqrt 2.0)) (cos th))) (/ a2 (sqrt (sqrt 2.0))) (* a2 (cos th)) (/ 1 (/ (sqrt (sqrt 2.0)) (cos th))) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (* a2 a2)) (/ (* a2 a2) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))) (/ (* a2 a2) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (* a2 a2) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (* a2 a2) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))) (/ (* a2 a2) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (/ (* a2 a2) (fabs (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (/ (* a2 a2) (fabs (cbrt (sqrt 2.0)))) (sqrt (cos th))) (/ (* a2 a2) (fabs (cbrt (sqrt 2.0)))) (/ (pow a2 2) (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (* (/ (pow a2 2) (sqrt (fabs (cbrt 2.0)))) (sqrt (cos th))) (/ (pow a2 2) (sqrt (fabs (cbrt 2.0)))) (/ (* a2 a2) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (* a2 a2) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))) (/ (pow a2 2) (sqrt (sqrt (sqrt 2.0)))) (* (* a2 a2) (* (cbrt (cos th)) (cbrt (cos th)))) (* (* a2 a2) (sqrt (cos th))) (* a2 a2) (/ (* a2 a2) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (* a2 a2) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))) (/ (pow a2 2) (sqrt (sqrt (sqrt 2.0)))) (* (* a2 a2) (* (cbrt (cos th)) (cbrt (cos th)))) (* (* a2 a2) (sqrt (cos th))) (* a2 a2) (/ (* a2 a2) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (* a2 a2) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))) (/ (pow a2 2) (sqrt (sqrt (sqrt 2.0)))) (* (* a2 a2) (* (cbrt (cos th)) (cbrt (cos th)))) (* (* a2 a2) (sqrt (cos th))) (* a2 a2) (* a2 a2) (/ (* a2 a2) (sqrt (sqrt 2.0))) (/ (/ (sqrt (sqrt 2.0)) (cos th)) a2) (/ (* a2 a2) (sqrt (sqrt 2.0))) (log (/ (sqrt (sqrt 2.0)) (cos th))) (log (/ (sqrt (sqrt 2.0)) (cos th))) (exp (/ (sqrt (sqrt 2.0)) (cos th))) (/ (* (sqrt (sqrt 2.0)) (sqrt 2.0)) (* (* (cos th) (cos th)) (cos th))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (/ (* (sqrt (sqrt 2.0)) (sqrt 2.0)) (* (* (cos th) (cos th)) (cos th))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (- (sqrt (sqrt 2.0))) (- (cos th)) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th)) (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))) (fabs (cbrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))) (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))) (sqrt (fabs (cbrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (/ 1 (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) 1 (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (/ 1 (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) 1 (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (/ 1 (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) 1 (/ (sqrt (sqrt 2.0)) (cos th)) (/ 1 (cos th)) (/ (cos th) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt 2.0)) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (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)) (/ (pow a1 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)) (- (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)) (* 1/2 (* (* (pow th 2) (pow a2 2)) (sqrt (/ 1 (sqrt 2.0)))))) (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (pow a2 2))) (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (pow a2 2))) (+ (* 5/24 (* (pow th 4) (sqrt (sqrt 2.0)))) (+ (* 1/2 (* (pow th 2) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))) (* (sqrt (sqrt 2.0)) (/ 1 (cos th))) (* (sqrt (sqrt 2.0)) (/ 1 (cos th))) 10.124 * * * [progress]: adding candidates to table 12.659 * [progress]: [Phase 3 of 3] Extracting. 12.659 * * [regime]: Finding splitpoints for: (# # # # # #) 12.662 * * * [regime-changes]: Trying 7 branch expressions: ((* a2 a2) (* a1 a1) (cos th) (/ (cos th) (sqrt 2.0)) th a2 a1) 12.662 * * * * [regimes]: Trying to branch on (* a2 a2) from (# # # # # #) 12.687 * * * * [regimes]: Trying to branch on (* a2 a2) from (# # # #) 12.712 * * * * [regimes]: Trying to branch on (* a1 a1) from (# # # # # #) 12.738 * * * * [regimes]: Trying to branch on (* a1 a1) from (# #) 12.754 * * * * [regimes]: Trying to branch on (cos th) from (# # # # # #) 12.783 * * * * [regimes]: Trying to branch on (/ (cos th) (sqrt 2.0)) from (# # # # # #) 12.818 * * * * [regimes]: Trying to branch on th from (# # # # # #) 12.850 * * * * [regimes]: Trying to branch on a2 from (# # # # # #) 12.881 * * * * [regimes]: Trying to branch on a1 from (# # # # # #) 12.909 * * * [regime]: Found split indices: #