4.309 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.069 * * * [progress]: [2/2] Setting up program. 0.072 * [progress]: [Phase 2 of 3] Improving. 0.072 * [simplify]: Simplifying using # : (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) 0.073 * * [simplify]: iteration 0 : 12 enodes (cost 19 ) 0.075 * * [simplify]: iteration 1 : 26 enodes (cost 13 ) 0.079 * * [simplify]: iteration 2 : 52 enodes (cost 12 ) 0.085 * * [simplify]: iteration 3 : 75 enodes (cost 12 ) 0.099 * * [simplify]: iteration 4 : 102 enodes (cost 12 ) 0.111 * * [simplify]: iteration 5 : 122 enodes (cost 12 ) 0.126 * * [simplify]: iteration 6 : 139 enodes (cost 12 ) 0.145 * * [simplify]: iteration 7 : 143 enodes (cost 12 ) 0.162 * * [simplify]: iteration 8 : 145 enodes (cost 12 ) 0.179 * * [simplify]: iteration done : 145 enodes (cost 12 ) 0.179 * [simplify]: Simplified to: (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2.0))) 0.183 * * [progress]: iteration 1 / 4 0.183 * * * [progress]: picking best candidate 0.185 * * * * [pick]: Picked # 0.185 * * * [progress]: localizing error 0.199 * * * [progress]: generating rewritten candidates 0.199 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.203 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.207 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.223 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.245 * * * [progress]: generating series expansions 0.245 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.246 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 0.246 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.246 * [taylor]: Taking taylor expansion of (cos th) in th 0.246 * [taylor]: Taking taylor expansion of th in th 0.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.246 * [taylor]: Taking taylor expansion of 2.0 in th 0.247 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.247 * [taylor]: Taking taylor expansion of (cos th) in th 0.247 * [taylor]: Taking taylor expansion of th in th 0.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.247 * [taylor]: Taking taylor expansion of 2.0 in th 0.266 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 0.266 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.266 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.266 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.266 * [taylor]: Taking taylor expansion of th in th 0.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.266 * [taylor]: Taking taylor expansion of 2.0 in th 0.267 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.267 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.267 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.267 * [taylor]: Taking taylor expansion of th in th 0.268 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.268 * [taylor]: Taking taylor expansion of 2.0 in th 0.289 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 0.289 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.289 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.289 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.289 * [taylor]: Taking taylor expansion of -1 in th 0.289 * [taylor]: Taking taylor expansion of th in th 0.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.289 * [taylor]: Taking taylor expansion of 2.0 in th 0.290 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.290 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.290 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.290 * [taylor]: Taking taylor expansion of -1 in th 0.290 * [taylor]: Taking taylor expansion of th in th 0.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.291 * [taylor]: Taking taylor expansion of 2.0 in th 0.306 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.307 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 0.307 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.307 * [taylor]: Taking taylor expansion of (cos th) in th 0.307 * [taylor]: Taking taylor expansion of th in th 0.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.307 * [taylor]: Taking taylor expansion of 2.0 in th 0.308 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.308 * [taylor]: Taking taylor expansion of (cos th) in th 0.308 * [taylor]: Taking taylor expansion of th in th 0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.308 * [taylor]: Taking taylor expansion of 2.0 in th 0.326 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 0.326 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.326 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.327 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.327 * [taylor]: Taking taylor expansion of th in th 0.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.327 * [taylor]: Taking taylor expansion of 2.0 in th 0.328 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.328 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.328 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.328 * [taylor]: Taking taylor expansion of th in th 0.328 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.328 * [taylor]: Taking taylor expansion of 2.0 in th 0.344 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 0.344 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.344 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.344 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.344 * [taylor]: Taking taylor expansion of -1 in th 0.344 * [taylor]: Taking taylor expansion of th in th 0.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.344 * [taylor]: Taking taylor expansion of 2.0 in th 0.345 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.345 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.345 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.345 * [taylor]: Taking taylor expansion of -1 in th 0.346 * [taylor]: Taking taylor expansion of th in th 0.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.346 * [taylor]: Taking taylor expansion of 2.0 in th 0.367 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.368 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0 0.368 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2 0.368 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 0.368 * [taylor]: Taking taylor expansion of (cos th) in a2 0.368 * [taylor]: Taking taylor expansion of th in a2 0.368 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.368 * [taylor]: Taking taylor expansion of a2 in a2 0.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.368 * [taylor]: Taking taylor expansion of 2.0 in a2 0.369 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 0.370 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 0.370 * [taylor]: Taking taylor expansion of (cos th) in th 0.370 * [taylor]: Taking taylor expansion of th in th 0.370 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.370 * [taylor]: Taking taylor expansion of a2 in th 0.370 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.370 * [taylor]: Taking taylor expansion of 2.0 in th 0.371 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 0.371 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 0.371 * [taylor]: Taking taylor expansion of (cos th) in th 0.371 * [taylor]: Taking taylor expansion of th in th 0.371 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.371 * [taylor]: Taking taylor expansion of a2 in th 0.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.371 * [taylor]: Taking taylor expansion of 2.0 in th 0.372 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 0.372 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.372 * [taylor]: Taking taylor expansion of a2 in a2 0.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.372 * [taylor]: Taking taylor expansion of 2.0 in a2 0.376 * [taylor]: Taking taylor expansion of 0 in a2 0.380 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2 0.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2 0.380 * [taylor]: Taking taylor expansion of 1/2 in a2 0.380 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 0.380 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.380 * [taylor]: Taking taylor expansion of a2 in a2 0.380 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.380 * [taylor]: Taking taylor expansion of 2.0 in a2 0.391 * [taylor]: Taking taylor expansion of 0 in a2 0.398 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 0.398 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.398 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 0.398 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 0.398 * [taylor]: Taking taylor expansion of th in a2 0.398 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.398 * [taylor]: Taking taylor expansion of 2.0 in a2 0.398 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.399 * [taylor]: Taking taylor expansion of a2 in a2 0.400 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 0.400 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.400 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.400 * [taylor]: Taking taylor expansion of th in th 0.400 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 0.400 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.400 * [taylor]: Taking taylor expansion of 2.0 in th 0.401 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.401 * [taylor]: Taking taylor expansion of a2 in th 0.402 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 0.402 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.402 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.402 * [taylor]: Taking taylor expansion of th in th 0.402 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 0.402 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.402 * [taylor]: Taking taylor expansion of 2.0 in th 0.403 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.403 * [taylor]: Taking taylor expansion of a2 in th 0.404 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.404 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 0.404 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 0.404 * [taylor]: Taking taylor expansion of th in a2 0.404 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.404 * [taylor]: Taking taylor expansion of 2.0 in a2 0.404 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.404 * [taylor]: Taking taylor expansion of a2 in a2 0.408 * [taylor]: Taking taylor expansion of 0 in a2 0.414 * [taylor]: Taking taylor expansion of 0 in a2 0.423 * [taylor]: Taking taylor expansion of 0 in a2 0.434 * [taylor]: Taking taylor expansion of 0 in a2 0.434 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 0.434 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.435 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 0.435 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 0.435 * [taylor]: Taking taylor expansion of -1 in a2 0.435 * [taylor]: Taking taylor expansion of th in a2 0.435 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.435 * [taylor]: Taking taylor expansion of 2.0 in a2 0.435 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.435 * [taylor]: Taking taylor expansion of a2 in a2 0.437 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 0.437 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.437 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.437 * [taylor]: Taking taylor expansion of -1 in th 0.437 * [taylor]: Taking taylor expansion of th in th 0.437 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 0.437 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.437 * [taylor]: Taking taylor expansion of 2.0 in th 0.438 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.438 * [taylor]: Taking taylor expansion of a2 in th 0.439 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 0.439 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.439 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.439 * [taylor]: Taking taylor expansion of -1 in th 0.439 * [taylor]: Taking taylor expansion of th in th 0.439 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 0.439 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.439 * [taylor]: Taking taylor expansion of 2.0 in th 0.440 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.440 * [taylor]: Taking taylor expansion of a2 in th 0.441 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.441 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 0.441 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 0.441 * [taylor]: Taking taylor expansion of -1 in a2 0.441 * [taylor]: Taking taylor expansion of th in a2 0.441 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.441 * [taylor]: Taking taylor expansion of 2.0 in a2 0.441 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.441 * [taylor]: Taking taylor expansion of a2 in a2 0.445 * [taylor]: Taking taylor expansion of 0 in a2 0.456 * [taylor]: Taking taylor expansion of 0 in a2 0.465 * [taylor]: Taking taylor expansion of 0 in a2 0.476 * [taylor]: Taking taylor expansion of 0 in a2 0.477 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.477 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in (th a1) around 0 0.477 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1 0.477 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1 0.477 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.477 * [taylor]: Taking taylor expansion of a1 in a1 0.477 * [taylor]: Taking taylor expansion of (cos th) in a1 0.477 * [taylor]: Taking taylor expansion of th in a1 0.477 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.477 * [taylor]: Taking taylor expansion of 2.0 in a1 0.479 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th 0.479 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 0.479 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.479 * [taylor]: Taking taylor expansion of a1 in th 0.479 * [taylor]: Taking taylor expansion of (cos th) in th 0.479 * [taylor]: Taking taylor expansion of th in th 0.479 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.479 * [taylor]: Taking taylor expansion of 2.0 in th 0.480 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th 0.480 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 0.480 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.480 * [taylor]: Taking taylor expansion of a1 in th 0.480 * [taylor]: Taking taylor expansion of (cos th) in th 0.480 * [taylor]: Taking taylor expansion of th in th 0.480 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.480 * [taylor]: Taking taylor expansion of 2.0 in th 0.481 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 0.481 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.481 * [taylor]: Taking taylor expansion of a1 in a1 0.481 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.481 * [taylor]: Taking taylor expansion of 2.0 in a1 0.485 * [taylor]: Taking taylor expansion of 0 in a1 0.489 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) in a1 0.489 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1 0.489 * [taylor]: Taking taylor expansion of 1/2 in a1 0.489 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 0.489 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.489 * [taylor]: Taking taylor expansion of a1 in a1 0.489 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.489 * [taylor]: Taking taylor expansion of 2.0 in a1 0.500 * [taylor]: Taking taylor expansion of 0 in a1 0.506 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0 0.506 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.506 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 0.506 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 0.506 * [taylor]: Taking taylor expansion of th in a1 0.507 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.507 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.507 * [taylor]: Taking taylor expansion of a1 in a1 0.507 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.507 * [taylor]: Taking taylor expansion of 2.0 in a1 0.509 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.509 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.509 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.509 * [taylor]: Taking taylor expansion of th in th 0.509 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.509 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.509 * [taylor]: Taking taylor expansion of a1 in th 0.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.509 * [taylor]: Taking taylor expansion of 2.0 in th 0.510 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.510 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.511 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.511 * [taylor]: Taking taylor expansion of th in th 0.511 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.511 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.511 * [taylor]: Taking taylor expansion of a1 in th 0.511 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.511 * [taylor]: Taking taylor expansion of 2.0 in th 0.512 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.512 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 0.512 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 0.512 * [taylor]: Taking taylor expansion of th in a1 0.512 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.512 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.513 * [taylor]: Taking taylor expansion of a1 in a1 0.513 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.513 * [taylor]: Taking taylor expansion of 2.0 in a1 0.516 * [taylor]: Taking taylor expansion of 0 in a1 0.523 * [taylor]: Taking taylor expansion of 0 in a1 0.531 * [taylor]: Taking taylor expansion of 0 in a1 0.547 * [taylor]: Taking taylor expansion of 0 in a1 0.548 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0 0.548 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.548 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 0.548 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 0.548 * [taylor]: Taking taylor expansion of -1 in a1 0.548 * [taylor]: Taking taylor expansion of th in a1 0.548 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.548 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.548 * [taylor]: Taking taylor expansion of a1 in a1 0.548 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.548 * [taylor]: Taking taylor expansion of 2.0 in a1 0.550 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.550 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.550 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.550 * [taylor]: Taking taylor expansion of -1 in th 0.550 * [taylor]: Taking taylor expansion of th in th 0.551 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.551 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.551 * [taylor]: Taking taylor expansion of a1 in th 0.551 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.551 * [taylor]: Taking taylor expansion of 2.0 in th 0.552 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.552 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.552 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.552 * [taylor]: Taking taylor expansion of -1 in th 0.552 * [taylor]: Taking taylor expansion of th in th 0.552 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.552 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.553 * [taylor]: Taking taylor expansion of a1 in th 0.553 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.553 * [taylor]: Taking taylor expansion of 2.0 in th 0.554 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.554 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 0.554 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 0.554 * [taylor]: Taking taylor expansion of -1 in a1 0.554 * [taylor]: Taking taylor expansion of th in a1 0.554 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.554 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.554 * [taylor]: Taking taylor expansion of a1 in a1 0.554 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.554 * [taylor]: Taking taylor expansion of 2.0 in a1 0.558 * [taylor]: Taking taylor expansion of 0 in a1 0.564 * [taylor]: Taking taylor expansion of 0 in a1 0.573 * [taylor]: Taking taylor expansion of 0 in a1 0.584 * [taylor]: Taking taylor expansion of 0 in a1 0.584 * * * [progress]: simplifying candidates 0.587 * [simplify]: Simplifying using # : (expm1 (/ (cos th) (sqrt 2.0))) (log1p (/ (cos th) (sqrt 2.0))) (- (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)) (expm1 (/ (cos th) (sqrt 2.0))) (log1p (/ (cos th) (sqrt 2.0))) (- (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)) (expm1 (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log1p (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (/ (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)) (expm1 (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (log1p (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (+ (- (log (cos th)) (log (sqrt 2.0))) (+ (log a1) (log a1))) (+ (- (log (cos th)) (log (sqrt 2.0))) (log (* a1 a1))) (+ (log (/ (cos th) (sqrt 2.0))) (+ (log a1) (log a1))) (+ (log (/ (cos th) (sqrt 2.0))) (log (* a1 a1))) (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (exp (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a1 a1) a1) (* (* a1 a1) a1))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a1 a1) a1) (* (* a1 a1) a1))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (* (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (sqrt (/ (cos th) (sqrt 2.0))) a1) (* (sqrt (/ (cos th) (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (cos th) (sqrt 2.0)) a1) (* (cbrt (/ (cos th) (sqrt 2.0))) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ 1 (sqrt 2.0)) (* a1 a1)) (* (cos th) (* a1 a1)) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (/ (pow a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0)))) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2.0)))) (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) 0.593 * * [simplify]: iteration 0 : 187 enodes (cost 2182 ) 0.632 * * [simplify]: iteration 1 : 505 enodes (cost 2092 ) 0.746 * * [simplify]: iteration 2 : 1798 enodes (cost 1898 ) 1.206 * * [simplify]: iteration done : 5000 enodes (cost 1878 ) 1.207 * [simplify]: Simplified to: (expm1 (/ (cos th) (sqrt 2.0))) (log1p (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (* (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 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)) (expm1 (/ (cos th) (sqrt 2.0))) (log1p (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (* (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 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)) (expm1 (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log1p (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (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) (pow a2 2)) (sqrt 2.0)) 3) (pow (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) 3) (pow (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) 3) (pow (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) 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) (pow a2 2)) (sqrt 2.0)) 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) (pow a2 2)) (sqrt 2.0)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* a2 a2) (sqrt 2.0)) (* (cos th) (* a2 a2)) (expm1 (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (log1p (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (/ (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)) (- (fma 1/24 (/ (pow th 4) (sqrt 2.0)) (/ 1 (sqrt 2.0))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (fma 1/24 (/ (pow th 4) (sqrt 2.0)) (/ 1 (sqrt 2.0))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (/ (pow a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0)))) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2.0)))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 1.208 * * * [progress]: adding candidates to table 1.707 * * [progress]: iteration 2 / 4 1.707 * * * [progress]: picking best candidate 1.736 * * * * [pick]: Picked # 1.736 * * * [progress]: localizing error 1.750 * * * [progress]: generating rewritten candidates 1.750 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.754 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.772 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.778 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.829 * * * [progress]: generating series expansions 1.829 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.830 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 1.830 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 1.830 * [taylor]: Taking taylor expansion of (cos th) in th 1.830 * [taylor]: Taking taylor expansion of th in th 1.830 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.830 * [taylor]: Taking taylor expansion of 2.0 in th 1.831 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 1.831 * [taylor]: Taking taylor expansion of (cos th) in th 1.831 * [taylor]: Taking taylor expansion of th in th 1.831 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.831 * [taylor]: Taking taylor expansion of 2.0 in th 1.850 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 1.850 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 1.850 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.850 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.850 * [taylor]: Taking taylor expansion of th in th 1.850 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.850 * [taylor]: Taking taylor expansion of 2.0 in th 1.851 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 1.851 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.851 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.851 * [taylor]: Taking taylor expansion of th in th 1.851 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.851 * [taylor]: Taking taylor expansion of 2.0 in th 1.875 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 1.875 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 1.875 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.875 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.875 * [taylor]: Taking taylor expansion of -1 in th 1.875 * [taylor]: Taking taylor expansion of th in th 1.875 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.875 * [taylor]: Taking taylor expansion of 2.0 in th 1.876 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 1.876 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.876 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.876 * [taylor]: Taking taylor expansion of -1 in th 1.876 * [taylor]: Taking taylor expansion of th in th 1.876 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.876 * [taylor]: Taking taylor expansion of 2.0 in th 1.893 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.894 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 1.894 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 1.894 * [taylor]: Taking taylor expansion of (cos th) in th 1.894 * [taylor]: Taking taylor expansion of th in th 1.894 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.894 * [taylor]: Taking taylor expansion of 2.0 in th 1.895 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 1.895 * [taylor]: Taking taylor expansion of (cos th) in th 1.895 * [taylor]: Taking taylor expansion of th in th 1.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.895 * [taylor]: Taking taylor expansion of 2.0 in th 1.915 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 1.915 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 1.915 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.915 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.915 * [taylor]: Taking taylor expansion of th in th 1.915 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.915 * [taylor]: Taking taylor expansion of 2.0 in th 1.916 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 1.916 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.916 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.916 * [taylor]: Taking taylor expansion of th in th 1.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.916 * [taylor]: Taking taylor expansion of 2.0 in th 1.933 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 1.933 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 1.933 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.933 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.933 * [taylor]: Taking taylor expansion of -1 in th 1.933 * [taylor]: Taking taylor expansion of th in th 1.934 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.934 * [taylor]: Taking taylor expansion of 2.0 in th 1.935 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 1.935 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.935 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.935 * [taylor]: Taking taylor expansion of -1 in th 1.935 * [taylor]: Taking taylor expansion of th in th 1.935 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.935 * [taylor]: Taking taylor expansion of 2.0 in th 1.956 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.957 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0 1.957 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 1.957 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 1.957 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 1.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.957 * [taylor]: Taking taylor expansion of 2.0 in th 1.960 * [taylor]: Taking taylor expansion of (cos th) in th 1.960 * [taylor]: Taking taylor expansion of th in th 1.960 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 1.961 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 1.961 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 1.961 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.961 * [taylor]: Taking taylor expansion of 2.0 in th 1.964 * [taylor]: Taking taylor expansion of (cos th) in th 1.964 * [taylor]: Taking taylor expansion of th in th 1.991 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0 1.991 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 1.991 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 1.991 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 1.991 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.991 * [taylor]: Taking taylor expansion of 2.0 in th 1.995 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.995 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.995 * [taylor]: Taking taylor expansion of th in th 1.995 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 1.995 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 1.995 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 1.995 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.995 * [taylor]: Taking taylor expansion of 2.0 in th 1.998 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.998 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.998 * [taylor]: Taking taylor expansion of th in th 2.020 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0 2.020 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 2.020 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 2.020 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 2.020 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.020 * [taylor]: Taking taylor expansion of 2.0 in th 2.024 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.024 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.024 * [taylor]: Taking taylor expansion of -1 in th 2.024 * [taylor]: Taking taylor expansion of th in th 2.024 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 2.024 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 2.024 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 2.024 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.024 * [taylor]: Taking taylor expansion of 2.0 in th 2.027 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.027 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.027 * [taylor]: Taking taylor expansion of -1 in th 2.027 * [taylor]: Taking taylor expansion of th in th 2.054 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.054 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0 2.054 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2 2.054 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 2.054 * [taylor]: Taking taylor expansion of (cos th) in a2 2.054 * [taylor]: Taking taylor expansion of th in a2 2.054 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.054 * [taylor]: Taking taylor expansion of a2 in a2 2.054 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.054 * [taylor]: Taking taylor expansion of 2.0 in a2 2.056 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 2.056 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 2.056 * [taylor]: Taking taylor expansion of (cos th) in th 2.056 * [taylor]: Taking taylor expansion of th in th 2.056 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.056 * [taylor]: Taking taylor expansion of a2 in th 2.056 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.056 * [taylor]: Taking taylor expansion of 2.0 in th 2.057 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 2.057 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 2.057 * [taylor]: Taking taylor expansion of (cos th) in th 2.057 * [taylor]: Taking taylor expansion of th in th 2.057 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.057 * [taylor]: Taking taylor expansion of a2 in th 2.057 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.057 * [taylor]: Taking taylor expansion of 2.0 in th 2.058 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 2.058 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.058 * [taylor]: Taking taylor expansion of a2 in a2 2.058 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.059 * [taylor]: Taking taylor expansion of 2.0 in a2 2.062 * [taylor]: Taking taylor expansion of 0 in a2 2.066 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2 2.066 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2 2.067 * [taylor]: Taking taylor expansion of 1/2 in a2 2.067 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 2.067 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.067 * [taylor]: Taking taylor expansion of a2 in a2 2.067 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.067 * [taylor]: Taking taylor expansion of 2.0 in a2 2.078 * [taylor]: Taking taylor expansion of 0 in a2 2.084 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 2.084 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.084 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 2.084 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 2.084 * [taylor]: Taking taylor expansion of th in a2 2.084 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.084 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.084 * [taylor]: Taking taylor expansion of 2.0 in a2 2.085 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.085 * [taylor]: Taking taylor expansion of a2 in a2 2.086 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 2.086 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.086 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.086 * [taylor]: Taking taylor expansion of th in th 2.087 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 2.087 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.087 * [taylor]: Taking taylor expansion of 2.0 in th 2.087 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.087 * [taylor]: Taking taylor expansion of a2 in th 2.088 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 2.088 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.088 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.088 * [taylor]: Taking taylor expansion of th in th 2.088 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 2.088 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.089 * [taylor]: Taking taylor expansion of 2.0 in th 2.089 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.089 * [taylor]: Taking taylor expansion of a2 in th 2.090 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.090 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 2.090 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 2.090 * [taylor]: Taking taylor expansion of th in a2 2.090 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.090 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.090 * [taylor]: Taking taylor expansion of 2.0 in a2 2.091 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.091 * [taylor]: Taking taylor expansion of a2 in a2 2.094 * [taylor]: Taking taylor expansion of 0 in a2 2.100 * [taylor]: Taking taylor expansion of 0 in a2 2.109 * [taylor]: Taking taylor expansion of 0 in a2 2.126 * [taylor]: Taking taylor expansion of 0 in a2 2.127 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 2.127 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.127 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 2.127 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 2.127 * [taylor]: Taking taylor expansion of -1 in a2 2.127 * [taylor]: Taking taylor expansion of th in a2 2.127 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.127 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.127 * [taylor]: Taking taylor expansion of 2.0 in a2 2.128 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.128 * [taylor]: Taking taylor expansion of a2 in a2 2.129 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 2.129 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.129 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.129 * [taylor]: Taking taylor expansion of -1 in th 2.129 * [taylor]: Taking taylor expansion of th in th 2.130 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 2.130 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.130 * [taylor]: Taking taylor expansion of 2.0 in th 2.130 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.130 * [taylor]: Taking taylor expansion of a2 in th 2.131 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) 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) (pow a2 2)) 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 (pow a2 2) in th 2.132 * [taylor]: Taking taylor expansion of a2 in th 2.133 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.133 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 2.133 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 2.133 * [taylor]: Taking taylor expansion of -1 in a2 2.133 * [taylor]: Taking taylor expansion of th in a2 2.133 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.133 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.133 * [taylor]: Taking taylor expansion of 2.0 in a2 2.134 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.134 * [taylor]: Taking taylor expansion of a2 in a2 2.137 * [taylor]: Taking taylor expansion of 0 in a2 2.146 * [taylor]: Taking taylor expansion of 0 in a2 2.155 * [taylor]: Taking taylor expansion of 0 in a2 2.166 * [taylor]: Taking taylor expansion of 0 in a2 2.166 * * * [progress]: simplifying candidates 2.175 * [simplify]: Simplifying using # : (expm1 (/ (cos th) (sqrt 2.0))) (log1p (/ (cos th) (sqrt 2.0))) (- (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))) 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(/ (sqrt (sqrt 2.0)) (/ (cos th) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (cbrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cos th)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cos th)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th)) (sqrt 2.0) (sqrt 2.0) (expm1 (/ (cos th) (sqrt (sqrt 2.0)))) (log1p (/ (cos th) (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (exp (/ (cos th) (sqrt (sqrt 2.0)))) (pow (/ (cos th) (sqrt (sqrt 2.0))) 3) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (pow (/ (cos th) (sqrt (sqrt 2.0))) 3) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (- (cos th)) (- (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (cos th)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cos th)) (cbrt 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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) (pow a2 2)) (- (fma (/ (pow th 4) (sqrt 2.0)) 1/24 (/ 1 (sqrt 2.0))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (fma (/ (pow th 4) (sqrt 2.0)) 1/24 (/ 1 (sqrt 2.0))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (+ (sqrt (/ 1 (sqrt 2.0))) (* (sqrt (/ 1 (sqrt 2.0))) (- (* 1/24 (pow th 4)) (* 1/2 (pow th 2))))) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (- (/ (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)) 3.537 * * * [progress]: adding candidates to table 4.537 * * [progress]: iteration 3 / 4 4.537 * * * [progress]: picking best candidate 4.561 * * * * [pick]: Picked # 4.561 * * * [progress]: localizing error 4.576 * * * [progress]: generating rewritten candidates 4.576 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 4.580 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 4.603 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.608 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 4.658 * * * [progress]: generating series expansions 4.658 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 4.659 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 4.659 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 4.659 * [taylor]: Taking taylor expansion of (cos th) in th 4.659 * [taylor]: Taking taylor expansion of th in th 4.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.659 * [taylor]: Taking taylor expansion of 2.0 in th 4.660 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 4.660 * [taylor]: Taking taylor expansion of (cos th) in th 4.660 * [taylor]: Taking taylor expansion of th in th 4.660 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.660 * [taylor]: Taking taylor expansion of 2.0 in th 4.679 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 4.679 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 4.679 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.679 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.679 * [taylor]: Taking taylor expansion of th in th 4.680 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.680 * [taylor]: Taking taylor expansion of 2.0 in th 4.681 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 4.681 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.681 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.681 * [taylor]: Taking taylor expansion of th in th 4.681 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.681 * [taylor]: Taking taylor expansion of 2.0 in th 4.698 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 4.698 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 4.698 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.698 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.698 * [taylor]: Taking taylor expansion of -1 in th 4.698 * [taylor]: Taking taylor expansion of th in th 4.698 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.698 * [taylor]: Taking taylor expansion of 2.0 in th 4.699 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 4.699 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.699 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.699 * [taylor]: Taking taylor expansion of -1 in th 4.699 * [taylor]: Taking taylor expansion of th in th 4.699 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.699 * [taylor]: Taking taylor expansion of 2.0 in th 4.715 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 4.717 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 4.717 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 4.717 * [taylor]: Taking taylor expansion of (cos th) in th 4.717 * [taylor]: Taking taylor expansion of th in th 4.717 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.717 * [taylor]: Taking taylor expansion of 2.0 in th 4.718 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 4.718 * [taylor]: Taking taylor expansion of (cos th) in th 4.718 * [taylor]: Taking taylor expansion of th in th 4.718 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.718 * [taylor]: Taking taylor expansion of 2.0 in th 4.737 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 4.737 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 4.737 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.737 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.737 * [taylor]: Taking taylor expansion of th in th 4.876 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.876 * [taylor]: Taking taylor expansion of 2.0 in th 4.877 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 4.877 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.877 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.877 * [taylor]: Taking taylor expansion of th in th 4.877 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.877 * [taylor]: Taking taylor expansion of 2.0 in th 4.894 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 4.894 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 4.894 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.894 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.894 * [taylor]: Taking taylor expansion of -1 in th 4.894 * [taylor]: Taking taylor expansion of th in th 4.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.895 * [taylor]: Taking taylor expansion of 2.0 in th 4.896 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 4.896 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.896 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.896 * [taylor]: Taking taylor expansion of -1 in th 4.896 * [taylor]: Taking taylor expansion of th in th 4.896 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.896 * [taylor]: Taking taylor expansion of 2.0 in th 4.912 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.913 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0 4.913 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 4.913 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.913 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.913 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.913 * [taylor]: Taking taylor expansion of 2.0 in th 4.916 * [taylor]: Taking taylor expansion of (cos th) in th 4.916 * [taylor]: Taking taylor expansion of th in th 4.916 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 4.916 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.916 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.916 * [taylor]: Taking taylor expansion of 2.0 in th 4.919 * [taylor]: Taking taylor expansion of (cos th) in th 4.919 * [taylor]: Taking taylor expansion of th in th 4.946 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0 4.946 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 4.946 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.946 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.946 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.946 * [taylor]: Taking taylor expansion of 2.0 in th 4.950 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.950 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.950 * [taylor]: Taking taylor expansion of th in th 4.950 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 4.950 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.950 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.950 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.950 * [taylor]: Taking taylor expansion of 2.0 in th 4.956 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.956 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.956 * [taylor]: Taking taylor expansion of th in th 4.978 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0 4.978 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 4.978 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.978 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.979 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.979 * [taylor]: Taking taylor expansion of 2.0 in th 4.982 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.982 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.982 * [taylor]: Taking taylor expansion of -1 in th 4.982 * [taylor]: Taking taylor expansion of th in th 4.982 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 4.982 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.982 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.982 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.982 * [taylor]: Taking taylor expansion of 2.0 in th 4.985 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.985 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.985 * [taylor]: Taking taylor expansion of -1 in th 4.985 * [taylor]: Taking taylor expansion of th in th 5.006 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 5.006 * [approximate]: Taking taylor expansion of (/ (* (cos th) a2) (sqrt 2.0)) in (th a2) around 0 5.006 * [taylor]: Taking taylor expansion of (/ (* (cos th) a2) (sqrt 2.0)) in a2 5.007 * [taylor]: Taking taylor expansion of (* (cos th) a2) in a2 5.007 * [taylor]: Taking taylor expansion of (cos th) in a2 5.007 * [taylor]: Taking taylor expansion of th in a2 5.007 * [taylor]: Taking taylor expansion of a2 in a2 5.007 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 5.007 * [taylor]: Taking taylor expansion of 2.0 in a2 5.010 * [taylor]: Taking taylor expansion of (/ (* (cos th) a2) (sqrt 2.0)) in th 5.010 * [taylor]: Taking taylor expansion of (* (cos th) a2) in th 5.010 * [taylor]: Taking taylor expansion of (cos th) in th 5.010 * [taylor]: Taking taylor expansion of th in th 5.010 * [taylor]: Taking taylor expansion of a2 in th 5.010 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.010 * [taylor]: Taking taylor expansion of 2.0 in th 5.011 * [taylor]: Taking taylor expansion of (/ (* (cos th) a2) (sqrt 2.0)) in th 5.011 * [taylor]: Taking taylor expansion of (* (cos th) a2) in th 5.011 * [taylor]: Taking taylor expansion of (cos th) in th 5.011 * [taylor]: Taking taylor expansion of th in th 5.011 * [taylor]: Taking taylor expansion of a2 in th 5.011 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.011 * [taylor]: Taking taylor expansion of 2.0 in th 5.012 * [taylor]: Taking taylor expansion of (/ a2 (sqrt 2.0)) in a2 5.012 * [taylor]: Taking taylor expansion of a2 in a2 5.012 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 5.012 * [taylor]: Taking taylor expansion of 2.0 in a2 5.015 * [taylor]: Taking taylor expansion of 0 in a2 5.018 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ a2 (sqrt 2.0)))) in a2 5.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ a2 (sqrt 2.0))) in a2 5.019 * [taylor]: Taking taylor expansion of 1/2 in a2 5.019 * [taylor]: Taking taylor expansion of (/ a2 (sqrt 2.0)) in a2 5.019 * [taylor]: Taking taylor expansion of a2 in a2 5.019 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 5.019 * [taylor]: Taking taylor expansion of 2.0 in a2 5.028 * [taylor]: Taking taylor expansion of 0 in a2 5.034 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) a2)) in (th a2) around 0 5.034 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) a2)) in a2 5.034 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 5.034 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 5.034 * [taylor]: Taking taylor expansion of th in a2 5.034 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in a2 5.034 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 5.034 * [taylor]: Taking taylor expansion of 2.0 in a2 5.037 * [taylor]: Taking taylor expansion of a2 in a2 5.040 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) a2)) in th 5.040 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 5.040 * [taylor]: Taking taylor expansion of (/ 1 th) in th 5.040 * [taylor]: Taking taylor expansion of th in th 5.040 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in th 5.040 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.040 * [taylor]: Taking taylor expansion of 2.0 in th 5.041 * [taylor]: Taking taylor expansion of a2 in th 5.042 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) a2)) in th 5.042 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 5.042 * [taylor]: Taking taylor expansion of (/ 1 th) in th 5.042 * [taylor]: Taking taylor expansion of th in th 5.042 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in th 5.042 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.042 * [taylor]: Taking taylor expansion of 2.0 in th 5.043 * [taylor]: Taking taylor expansion of a2 in th 5.043 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) a2)) in a2 5.043 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 5.043 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 5.043 * [taylor]: Taking taylor expansion of th in a2 5.043 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in a2 5.044 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 5.044 * [taylor]: Taking taylor expansion of 2.0 in a2 5.044 * [taylor]: Taking taylor expansion of a2 in a2 5.048 * [taylor]: Taking taylor expansion of 0 in a2 5.054 * [taylor]: Taking taylor expansion of 0 in a2 5.061 * [taylor]: Taking taylor expansion of 0 in a2 5.068 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* (sqrt 2.0) a2))) in (th a2) around 0 5.068 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* (sqrt 2.0) a2))) in a2 5.068 * [taylor]: Taking taylor expansion of -1 in a2 5.068 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) a2)) in a2 5.068 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 5.068 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 5.068 * [taylor]: Taking taylor expansion of -1 in a2 5.068 * [taylor]: Taking taylor expansion of th in a2 5.068 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in a2 5.068 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 5.068 * [taylor]: Taking taylor expansion of 2.0 in a2 5.069 * [taylor]: Taking taylor expansion of a2 in a2 5.071 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* (sqrt 2.0) a2))) in th 5.071 * [taylor]: Taking taylor expansion of -1 in th 5.071 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) a2)) in th 5.071 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 5.071 * [taylor]: Taking taylor expansion of (/ -1 th) in th 5.071 * [taylor]: Taking taylor expansion of -1 in th 5.071 * [taylor]: Taking taylor expansion of th in th 5.071 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in th 5.071 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.071 * [taylor]: Taking taylor expansion of 2.0 in th 5.072 * [taylor]: Taking taylor expansion of a2 in th 5.073 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* (sqrt 2.0) a2))) in th 5.073 * [taylor]: Taking taylor expansion of -1 in th 5.073 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) a2)) in th 5.073 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 5.073 * [taylor]: Taking taylor expansion of (/ -1 th) in th 5.073 * [taylor]: Taking taylor expansion of -1 in th 5.073 * [taylor]: Taking taylor expansion of th in th 5.073 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in th 5.073 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.073 * [taylor]: Taking taylor expansion of 2.0 in th 5.074 * [taylor]: Taking taylor expansion of a2 in th 5.075 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* (sqrt 2.0) a2))) in a2 5.075 * [taylor]: Taking taylor expansion of -1 in a2 5.075 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) a2)) in a2 5.075 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 5.075 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 5.075 * [taylor]: Taking taylor expansion of -1 in a2 5.075 * [taylor]: Taking taylor expansion of th in a2 5.075 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in a2 5.075 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 5.075 * [taylor]: Taking taylor expansion of 2.0 in a2 5.076 * [taylor]: Taking taylor expansion of a2 in a2 5.081 * [taylor]: Taking taylor expansion of 0 in a2 5.088 * [taylor]: Taking taylor expansion of 0 in a2 5.097 * [taylor]: Taking taylor expansion of 0 in a2 5.104 * * * [progress]: simplifying candidates 5.117 * [simplify]: Simplifying using # : (expm1 (/ (cos th) (sqrt 2.0))) (log1p (/ (cos th) (sqrt 2.0))) (- (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)) (expm1 (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (log1p (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (- (- (log (cos th)) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (- (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (log (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (- (/ (cos th) (sqrt 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(* (cos th) a2) (sqrt 2.0)) (/ (* (cos th) a2) (sqrt 2.0)) 5.142 * * [simplify]: iteration 0 : 479 enodes (cost 9763 ) 5.233 * * [simplify]: iteration 1 : 1074 enodes (cost 8763 ) 5.466 * * [simplify]: iteration 2 : 3456 enodes (cost 8042 ) 6.474 * * [simplify]: iteration done : 5001 enodes (cost 8042 ) 6.479 * [simplify]: Simplified to: (expm1 (/ (cos th) (sqrt 2.0))) (log1p (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (* (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 (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (cos th)))) (/ (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))) 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2.0)))) (sqrt (sqrt 2.0))) (/ 1 (sqrt 1)) (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) 1 (/ (cos th) (sqrt 2.0)) (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (cos th) (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (fabs (cbrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt 1)) (/ 1 (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ 1 (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ 1 (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt 2.0) (cos th)) (/ (/ (cos th) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (* (fabs (cbrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (fabs (cbrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (sqrt (/ (cos th) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (cbrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cos th)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cos th)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th)) (sqrt 2.0) (sqrt 2.0) (expm1 (/ (cos th) (sqrt (sqrt 2.0)))) (log1p (/ (cos th) (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (exp (/ (cos th) (sqrt (sqrt 2.0)))) (pow (/ (cos th) (sqrt (sqrt 2.0))) 3) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (pow (/ (cos th) (sqrt (sqrt 2.0))) 3) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (- (cos th)) (- (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (cos th)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (/ (sqrt 1) (cbrt (cos th)))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (/ 1 (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt 1)) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (fabs (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (fabs (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt 1)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (cos th)) (expm1 (* (/ (cos th) (sqrt 2.0)) a2)) (log1p (* (/ (cos th) (sqrt 2.0)) a2)) (/ (* (cos th) a2) (sqrt 2.0)) (log (* (/ (cos th) (sqrt 2.0)) a2)) (log (* (/ (cos th) (sqrt 2.0)) a2)) (log (* (/ (cos th) (sqrt 2.0)) a2)) (exp (* (/ (cos th) (sqrt 2.0)) a2)) (pow (/ (* (cos th) a2) (sqrt 2.0)) 3) (pow (/ (* (cos th) a2) (sqrt 2.0)) 3) (* (cbrt (* (/ (cos th) (sqrt 2.0)) a2)) (cbrt (* (/ (cos th) (sqrt 2.0)) a2))) (cbrt (* (/ (cos th) (sqrt 2.0)) a2)) (pow (/ (* (cos th) a2) (sqrt 2.0)) 3) (sqrt (* (/ (cos th) (sqrt 2.0)) a2)) (sqrt (* (/ (cos th) (sqrt 2.0)) a2)) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt a2)) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt a2)) (* (/ (cos th) (sqrt 2.0)) (* (cbrt a2) (cbrt a2))) (* (/ (cos th) (sqrt 2.0)) (sqrt a2)) (/ (cos th) (sqrt 2.0)) (* (cbrt (/ (cos th) (sqrt 2.0))) a2) (* (sqrt (/ (cos th) (sqrt 2.0))) a2) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) a2) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) a2) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (cbrt (cos th)) (sqrt 2.0)) a2) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (cbrt (cos th)) (sqrt 2.0)) a2) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt 2.0)) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt 2.0)) a2) (* (/ (cos th) (cbrt (sqrt 2.0))) a2) (* (/ (cos th) (sqrt (cbrt 2.0))) a2) (* (/ (cos th) (sqrt (sqrt 2.0))) a2) (/ (* (cos th) a2) (sqrt 2.0)) (* (/ (cos th) (sqrt (sqrt 2.0))) a2) (/ (* (cos th) a2) (sqrt 2.0)) (/ (* (cos th) a2) (sqrt 2.0)) (/ a2 (sqrt 2.0)) (* (cos th) a2) (- (fma 1/24 (/ (pow th 4) (sqrt 2.0)) (/ 1 (sqrt 2.0))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (fma 1/24 (/ (pow th 4) (sqrt 2.0)) (/ 1 (sqrt 2.0))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (+ (* (sqrt (/ 1 (sqrt 2.0))) (- (* 1/24 (pow th 4)) (* 1/2 (pow th 2)))) (sqrt (/ 1 (sqrt 2.0)))) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (- (/ a2 (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) a2) (sqrt 2.0)))) (/ (* (cos th) a2) (sqrt 2.0)) (/ (* (cos th) a2) (sqrt 2.0)) 6.483 * * * [progress]: adding candidates to table 7.471 * * [progress]: iteration 4 / 4 7.471 * * * [progress]: picking best candidate 7.497 * * * * [pick]: Picked # 7.497 * * * [progress]: localizing error 7.511 * * * [progress]: generating rewritten candidates 7.511 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 7.530 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 7.548 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 7.556 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 7.627 * * * [progress]: generating series expansions 7.627 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 7.628 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 7.628 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 7.629 * [taylor]: Taking taylor expansion of (cos th) in th 7.629 * [taylor]: Taking taylor expansion of th in th 7.629 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.629 * [taylor]: Taking taylor expansion of 2.0 in th 7.630 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 7.630 * [taylor]: Taking taylor expansion of (cos th) in th 7.630 * [taylor]: Taking taylor expansion of th in th 7.630 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.630 * [taylor]: Taking taylor expansion of 2.0 in th 7.649 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 7.649 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 7.649 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 7.649 * [taylor]: Taking taylor expansion of (/ 1 th) in th 7.649 * [taylor]: Taking taylor expansion of th in th 7.649 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.649 * [taylor]: Taking taylor expansion of 2.0 in th 7.650 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 7.650 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 7.650 * [taylor]: Taking taylor expansion of (/ 1 th) in th 7.650 * [taylor]: Taking taylor expansion of th in th 7.651 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.651 * [taylor]: Taking taylor expansion of 2.0 in th 7.668 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 7.668 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 7.668 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 7.668 * [taylor]: Taking taylor expansion of (/ -1 th) in th 7.668 * [taylor]: Taking taylor expansion of -1 in th 7.668 * [taylor]: Taking taylor expansion of th in th 7.668 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.668 * [taylor]: Taking taylor expansion of 2.0 in th 7.669 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 7.669 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 7.669 * [taylor]: Taking taylor expansion of (/ -1 th) in th 7.669 * [taylor]: Taking taylor expansion of -1 in th 7.669 * [taylor]: Taking taylor expansion of th in th 7.670 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.670 * [taylor]: Taking taylor expansion of 2.0 in th 7.686 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 7.687 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 7.687 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 7.687 * [taylor]: Taking taylor expansion of (cos th) in th 7.687 * [taylor]: Taking taylor expansion of th in th 7.687 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.687 * [taylor]: Taking taylor expansion of 2.0 in th 7.688 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 7.688 * [taylor]: Taking taylor expansion of (cos th) in th 7.688 * [taylor]: Taking taylor expansion of th in th 7.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.688 * [taylor]: Taking taylor expansion of 2.0 in th 7.711 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 7.711 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 7.711 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 7.711 * [taylor]: Taking taylor expansion of (/ 1 th) in th 7.711 * [taylor]: Taking taylor expansion of th in th 7.711 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.711 * [taylor]: Taking taylor expansion of 2.0 in th 7.712 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 7.712 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 7.712 * [taylor]: Taking taylor expansion of (/ 1 th) in th 7.712 * [taylor]: Taking taylor expansion of th in th 7.713 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.713 * [taylor]: Taking taylor expansion of 2.0 in th 7.729 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 7.730 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 7.730 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 7.730 * [taylor]: Taking taylor expansion of (/ -1 th) in th 7.730 * [taylor]: Taking taylor expansion of -1 in th 7.730 * [taylor]: Taking taylor expansion of th in th 7.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.730 * [taylor]: Taking taylor expansion of 2.0 in th 7.731 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 7.731 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 7.731 * [taylor]: Taking taylor expansion of (/ -1 th) in th 7.731 * [taylor]: Taking taylor expansion of -1 in th 7.731 * [taylor]: Taking taylor expansion of th in th 7.731 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.731 * [taylor]: Taking taylor expansion of 2.0 in th 7.747 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 7.748 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0 7.748 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 7.748 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.748 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.748 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.748 * [taylor]: Taking taylor expansion of 2.0 in th 7.751 * [taylor]: Taking taylor expansion of (cos th) in th 7.751 * [taylor]: Taking taylor expansion of th in th 7.751 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 7.751 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.751 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.751 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.751 * [taylor]: Taking taylor expansion of 2.0 in th 7.754 * [taylor]: Taking taylor expansion of (cos th) in th 7.754 * [taylor]: Taking taylor expansion of th in th 7.784 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0 7.784 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 7.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.784 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.784 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.784 * [taylor]: Taking taylor expansion of 2.0 in th 7.787 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 7.787 * [taylor]: Taking taylor expansion of (/ 1 th) in th 7.788 * [taylor]: Taking taylor expansion of th in th 7.788 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 7.788 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.788 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.788 * [taylor]: Taking taylor expansion of 2.0 in th 7.791 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 7.791 * [taylor]: Taking taylor expansion of (/ 1 th) in th 7.791 * [taylor]: Taking taylor expansion of th in th 7.812 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0 7.812 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 7.813 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.813 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.813 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.813 * [taylor]: Taking taylor expansion of 2.0 in th 7.816 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 7.816 * [taylor]: Taking taylor expansion of (/ -1 th) in th 7.816 * [taylor]: Taking taylor expansion of -1 in th 7.816 * [taylor]: Taking taylor expansion of th in th 7.816 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 7.816 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.816 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.816 * [taylor]: Taking taylor expansion of 2.0 in th 7.819 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 7.820 * [taylor]: Taking taylor expansion of (/ -1 th) in th 7.820 * [taylor]: Taking taylor expansion of -1 in th 7.820 * [taylor]: Taking taylor expansion of th in th 7.840 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 7.841 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0 7.841 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 7.841 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.841 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.841 * [taylor]: Taking taylor expansion of 2.0 in th 7.844 * [taylor]: Taking taylor expansion of (cos th) in th 7.844 * [taylor]: Taking taylor expansion of th in th 7.844 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 7.844 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.844 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.844 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.844 * [taylor]: Taking taylor expansion of 2.0 in th 7.847 * [taylor]: Taking taylor expansion of (cos th) in th 7.847 * [taylor]: Taking taylor expansion of th in th 7.878 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0 7.878 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 7.878 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.878 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.878 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.878 * [taylor]: Taking taylor expansion of 2.0 in th 7.881 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 7.881 * [taylor]: Taking taylor expansion of (/ 1 th) in th 7.881 * [taylor]: Taking taylor expansion of th in th 7.881 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 7.881 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.881 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.881 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.881 * [taylor]: Taking taylor expansion of 2.0 in th 7.885 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 7.885 * [taylor]: Taking taylor expansion of (/ 1 th) in th 7.885 * [taylor]: Taking taylor expansion of th in th 7.906 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0 7.906 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 7.906 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.906 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.906 * [taylor]: Taking taylor expansion of 2.0 in th 7.909 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 7.909 * [taylor]: Taking taylor expansion of (/ -1 th) in th 7.909 * [taylor]: Taking taylor expansion of -1 in th 7.909 * [taylor]: Taking taylor expansion of th in th 7.909 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 7.910 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.910 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.910 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.910 * [taylor]: Taking taylor expansion of 2.0 in th 7.913 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 7.913 * [taylor]: Taking taylor expansion of (/ -1 th) in th 7.913 * [taylor]: Taking taylor expansion of -1 in th 7.913 * [taylor]: Taking taylor expansion of th in th 7.934 * * * [progress]: simplifying candidates 7.952 * [simplify]: Simplifying using # : (expm1 (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (log1p (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (- (- (log (cos th)) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (- (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (log (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (- (/ (cos th) (sqrt (sqrt 2.0)))) (- (sqrt (sqrt 2.0))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt 1))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt 1)) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) 1) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 1))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt 1)) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) 1) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt 1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt 1)) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt 1))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 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(pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0)))))) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0)))))) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) 7.983 * * [simplify]: iteration 0 : 397 enodes (cost 17670 ) 8.060 * * [simplify]: iteration 1 : 879 enodes (cost 15746 ) 8.245 * * [simplify]: iteration 2 : 2584 enodes (cost 14434 ) 9.092 * * [simplify]: iteration done : 5001 enodes (cost 14434 ) 9.099 * [simplify]: Simplified to: (expm1 (/ (cos th) (sqrt 2.0))) (log1p (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 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2.0))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ 1 (sqrt (fabs (cbrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt 1)) (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt 2.0)) (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (cos th) (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (fabs (cbrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt 1)) (/ 1 (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ 1 (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ 1 (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt 2.0) (cos th)) (/ (/ (cos th) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (fabs (cbrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (sqrt (/ (cos th) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (cbrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cos th)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cos th)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th)) (sqrt 2.0) (sqrt 2.0) (expm1 (/ (cos th) (sqrt (sqrt 2.0)))) (log1p (/ (cos th) (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (exp (/ (cos th) (sqrt (sqrt 2.0)))) (pow (/ (cos th) (sqrt (sqrt 2.0))) 3) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (pow (/ (cos th) (sqrt (sqrt 2.0))) 3) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (- (cos th)) (- (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (cos th)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (fabs (cbrt (sqrt 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2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (fabs (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (fabs (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt 1)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (cos th)) (expm1 (/ (cos th) (sqrt (sqrt 2.0)))) (log1p (/ (cos th) (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (exp (/ (cos th) (sqrt (sqrt 2.0)))) (pow (/ (cos th) (sqrt (sqrt 2.0))) 3) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (pow (/ (cos th) (sqrt (sqrt 2.0))) 3) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (- (cos th)) (- (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (cos th)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt 1)) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (fabs (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (fabs (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt 1)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (cos th)) (- (fma 1/24 (/ (pow th 4) (sqrt 2.0)) (/ 1 (sqrt 2.0))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (fma 1/24 (/ (pow th 4) (sqrt 2.0)) (/ 1 (sqrt 2.0))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (+ (* (sqrt (/ 1 (sqrt 2.0))) (- (* 1/24 (pow th 4)) (* 1/2 (pow th 2)))) (sqrt (/ 1 (sqrt 2.0)))) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (+ (* (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)) 9.107 * * * [progress]: adding candidates to table 10.628 * [progress]: [Phase 3 of 3] Extracting. 10.628 * * [regime]: Finding splitpoints for: (# # # # # # # #) 10.632 * * * [regime-changes]: Trying 7 branch expressions: ((* a2 a2) (* a1 a1) (cos th) (/ (cos th) (sqrt 2.0)) th a2 a1) 10.632 * * * * [regimes]: Trying to branch on (* a2 a2) from (# # # # # # # #) 10.670 * * * * [regimes]: Trying to branch on (* a2 a2) from (# # # # # #) 10.695 * * * * [regimes]: Trying to branch on (* a1 a1) from (# # # # # # # #) 10.730 * * * * [regimes]: Trying to branch on (cos th) from (# # # # # # # #) 10.768 * * * * [regimes]: Trying to branch on (/ (cos th) (sqrt 2.0)) from (# # # # # # # #) 10.809 * * * * [regimes]: Trying to branch on th from (# # # # # # # #) 10.842 * * * * [regimes]: Trying to branch on a2 from (# # # # # # # #) 10.879 * * * * [regimes]: Trying to branch on a1 from (# # # # # # # #) 10.915 * * * [regime]: Found split indices: #