1.029 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.127 * * * [progress]: [2/2] Setting up program. 0.132 * [progress]: [Phase 2 of 3] Improving. 0.134 * [simplify]: Simplifying: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.135 * * [simplify]: Extracting # 0 : cost 0 0.135 * * [simplify]: Extracting # 1 : cost 0 0.135 * * [simplify]: Extracting # 2 : cost 0 0.135 * * [simplify]: Extracting # 3 : cost 0 0.135 * * [simplify]: Extracting # 4 : cost 0 0.135 * * [simplify]: Extracting # 5 : cost 0 0.135 * * [simplify]: Extracting # 6 : cost 0 0.135 * * [simplify]: Extracting # 7 : cost 0 0.135 * * [simplify]: iteration 0 : 9 enodes (cost 11 ) 0.140 * * [simplify]: Extracting # 0 : cost 0 0.140 * * [simplify]: Extracting # 1 : cost 0 0.140 * * [simplify]: Extracting # 2 : cost 0 0.140 * * [simplify]: iteration 1 : 16 enodes (cost 11 ) 0.142 * * [simplify]: Extracting # 0 : cost 0 0.142 * * [simplify]: Extracting # 1 : cost 0 0.142 * * [simplify]: Extracting # 2 : cost 0 0.142 * * [simplify]: iteration 2 : 19 enodes (cost 11 ) 0.145 * * [simplify]: Extracting # 0 : cost 0 0.145 * * [simplify]: iteration 3 : 21 enodes (cost 11 ) 0.148 * * [simplify]: Extracting # 0 : cost 0 0.149 * * [simplify]: iteration done: 21 enodes (cost 11 ) 0.192 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.194 * * [progress]: iteration 1 / 4 0.194 * * * [progress]: picking best candidate 0.198 * * * * [pick]: Picked # 0.198 * * * [progress]: localizing error 0.220 * * * [progress]: generating rewritten candidates 0.221 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.269 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.305 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.317 * * * [progress]: generating series expansions 0.318 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.337 * [backup-simplify]: Simplify (/ (- 1.0 x) (+ 1.0 x)) into (/ (- 1.0 x) (+ x 1.0)) 0.337 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.339 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.339 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [backup-simplify]: Simplify 1.0 into 1.0 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [backup-simplify]: Simplify 1.0 into 1.0 0.340 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.341 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.341 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.341 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.341 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [backup-simplify]: Simplify 1.0 into 1.0 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [backup-simplify]: Simplify 1.0 into 1.0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.342 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.343 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.343 * [backup-simplify]: Simplify 1.0 into 1.0 0.343 * [backup-simplify]: Simplify (- 1) into -1 0.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.344 * [backup-simplify]: Simplify (+ 1 0) into 1 0.346 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.346 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.349 * [backup-simplify]: Simplify 2.0 into 2.0 0.350 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 0.351 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.351 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.351 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [backup-simplify]: Simplify 1.0 into 1.0 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [backup-simplify]: Simplify 1.0 into 1.0 0.352 * [backup-simplify]: Simplify (- 1) into -1 0.352 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.352 * [backup-simplify]: Simplify (+ 1 0) into 1 0.353 * [backup-simplify]: Simplify (/ -1 1) into -1 0.353 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.353 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [backup-simplify]: Simplify 1.0 into 1.0 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [backup-simplify]: Simplify 1.0 into 1.0 0.354 * [backup-simplify]: Simplify (- 1) into -1 0.354 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.354 * [backup-simplify]: Simplify (+ 1 0) into 1 0.355 * [backup-simplify]: Simplify (/ -1 1) into -1 0.355 * [backup-simplify]: Simplify -1 into -1 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.358 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.358 * [backup-simplify]: Simplify 2.0 into 2.0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.363 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.363 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.363 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 0.363 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.363 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [backup-simplify]: Simplify 1.0 into 1.0 0.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [backup-simplify]: Simplify 1.0 into 1.0 0.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [backup-simplify]: Simplify (+ 1 0) into 1 0.364 * [backup-simplify]: Simplify (- 1) into -1 0.365 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.365 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.365 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.365 * [backup-simplify]: Simplify 1.0 into 1.0 0.365 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.365 * [backup-simplify]: Simplify 1.0 into 1.0 0.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.366 * [backup-simplify]: Simplify (+ 1 0) into 1 0.366 * [backup-simplify]: Simplify (- 1) into -1 0.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.367 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.367 * [backup-simplify]: Simplify -1 into -1 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- 0) into 0 0.369 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.372 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.372 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.381 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.382 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.382 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.383 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 x) (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 0.383 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.383 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.383 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.383 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [backup-simplify]: Simplify 1.0 into 1.0 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [backup-simplify]: Simplify 1.0 into 1.0 0.383 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.384 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.385 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.385 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.385 * [backup-simplify]: Simplify (- 1) into -1 0.386 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.386 * [backup-simplify]: Simplify (+ 1 0) into 1 0.389 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.391 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.391 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.391 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.391 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [backup-simplify]: Simplify 1.0 into 1.0 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [backup-simplify]: Simplify 1.0 into 1.0 0.392 * [backup-simplify]: Simplify (- 0) into 0 0.392 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.393 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.393 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.394 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.394 * [backup-simplify]: Simplify (- 1) into -1 0.394 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.395 * [backup-simplify]: Simplify (+ 1 0) into 1 0.398 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.399 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.400 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.400 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 0.401 * [backup-simplify]: Simplify (- 0) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.407 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 0.411 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 0.417 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 0.417 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 0.417 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.417 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.417 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.417 * [taylor]: Taking taylor expansion of 1.0 in x 0.417 * [backup-simplify]: Simplify 1.0 into 1.0 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [backup-simplify]: Simplify 1.0 into 1.0 0.418 * [backup-simplify]: Simplify (- 1) into -1 0.418 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.418 * [backup-simplify]: Simplify (+ 1 0) into 1 0.419 * [backup-simplify]: Simplify (/ -1 1) into -1 0.419 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.422 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.423 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.423 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.423 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.423 * [backup-simplify]: Simplify 1.0 into 1.0 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [backup-simplify]: Simplify 1.0 into 1.0 0.424 * [backup-simplify]: Simplify (- 1) into -1 0.424 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.425 * [backup-simplify]: Simplify (+ 1 0) into 1 0.425 * [backup-simplify]: Simplify (/ -1 1) into -1 0.425 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.428 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.429 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.430 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.430 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.447 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.453 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.458 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 0.458 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 0.458 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.458 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.458 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [backup-simplify]: Simplify 1.0 into 1.0 0.458 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [backup-simplify]: Simplify 1.0 into 1.0 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (/ 1 1) into 1 0.459 * [backup-simplify]: Simplify (+ 1 0) into 1 0.459 * [backup-simplify]: Simplify (- 1) into -1 0.460 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.460 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.460 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.463 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.464 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.464 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.464 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [taylor]: Taking taylor expansion of 1.0 in x 0.465 * [backup-simplify]: Simplify 1.0 into 1.0 0.465 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.465 * [taylor]: Taking taylor expansion of 1.0 in x 0.465 * [backup-simplify]: Simplify 1.0 into 1.0 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [backup-simplify]: Simplify (+ 1 0) into 1 0.466 * [backup-simplify]: Simplify (- 1) into -1 0.466 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.466 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.466 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- 0) into 0 0.468 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.469 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.471 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.471 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.471 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.480 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.485 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.494 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 0.494 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.494 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.494 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.494 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.497 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.497 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.497 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.497 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.498 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.498 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.498 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.498 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 0.499 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.499 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 0.499 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.500 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.500 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.500 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.500 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.500 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.501 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.501 * [backup-simplify]: Simplify (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.502 * * * [progress]: simplifying candidates 0.506 * [simplify]: Simplifying: (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.510 * * [simplify]: Extracting # 0 : cost 0 0.510 * * [simplify]: Extracting # 1 : cost 0 0.511 * * [simplify]: Extracting # 2 : cost 0 0.511 * * [simplify]: Extracting # 3 : cost 0 0.512 * * [simplify]: Extracting # 4 : cost 0 0.512 * * [simplify]: Extracting # 5 : cost 0 0.512 * * [simplify]: Extracting # 6 : cost 0 0.513 * * [simplify]: Extracting # 7 : cost 0 0.513 * * [simplify]: Extracting # 8 : cost 0 0.514 * * [simplify]: iteration 0 : 167 enodes (cost 1451 ) 0.570 * * [simplify]: Extracting # 0 : cost 0 0.571 * * [simplify]: Extracting # 1 : cost 0 0.572 * * [simplify]: Extracting # 2 : cost 0 0.572 * * [simplify]: Extracting # 3 : cost 0 0.573 * * [simplify]: Extracting # 4 : cost 0 0.574 * * [simplify]: iteration 1 : 356 enodes (cost 1376 ) 0.724 * * [simplify]: Extracting # 0 : cost 0 0.725 * * [simplify]: Extracting # 1 : cost 0 0.726 * * [simplify]: Extracting # 2 : cost 0 0.727 * * [simplify]: Extracting # 3 : cost 0 0.728 * * [simplify]: Extracting # 4 : cost 0 0.728 * * [simplify]: iteration 2 : 866 enodes (cost 1284 ) 1.189 * * [simplify]: Extracting # 0 : cost 0 1.191 * * [simplify]: Extracting # 1 : cost 0 1.194 * * [simplify]: Extracting # 2 : cost 0 1.197 * * [simplify]: Extracting # 3 : cost 0 1.202 * * [simplify]: Extracting # 4 : cost 0 1.211 * * [simplify]: iteration 3 : 2147 enodes (cost 1268 ) 2.301 * * [simplify]: Extracting # 0 : cost 0 2.313 * * [simplify]: Extracting # 1 : cost 0 2.320 * * [simplify]: Extracting # 2 : cost 0 2.325 * * [simplify]: Extracting # 3 : cost 0 2.330 * * [simplify]: Extracting # 4 : cost 0 2.336 * * [simplify]: iteration done: 5001 enodes (cost 1252 ) 2.337 * [simplify]: Simplified to: (log (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- x 1.0) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (- 1.0 x) (- 1.0 x) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ 1 (+ 1.0 x)) (* (+ (* x (+ 1.0 x)) (* 1.0 1.0)) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 x)) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (fabs (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (* x (- x 1.0)))) (sqrt (/ 1 (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (+ (* x (- (* 2.0 x) 2.0)) 1.0) (- (+ (/ 2.0 x) -1) (/ (/ 2.0 x) x)) (- (+ (/ 2.0 x) -1) (/ (/ 2.0 x) x)) (+ (sqrt 1.0) (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (* 1.0 (/ x (sqrt 1.0))))) (- (/ 1.0 (* x (sqrt -1))) (- (* (/ 1 (* (pow x 2) (sqrt -1))) (+ 1.0 (/ 0.5 -1))) (sqrt -1))) (- (/ 1.0 (* x (sqrt -1))) (- (* (/ 1 (* (pow x 2) (sqrt -1))) (+ 1.0 (/ 0.5 -1))) (sqrt -1))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2.338 * * * [progress]: adding candidates to table 2.664 * * [progress]: iteration 2 / 4 2.664 * * * [progress]: picking best candidate 2.669 * * * * [pick]: Picked # 2.670 * * * [progress]: localizing error 2.683 * * * [progress]: generating rewritten candidates 2.683 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2) 2.727 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 2.780 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.816 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.821 * * * [progress]: generating series expansions 2.821 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2) 2.821 * [backup-simplify]: Simplify (* (+ 1.0 x) (+ 1.0 x)) into (pow (+ x 1.0) 2) 2.821 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 2) in (x) around 0 2.821 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 2.821 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.821 * [taylor]: Taking taylor expansion of x in x 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 1 into 1 2.821 * [taylor]: Taking taylor expansion of 1.0 in x 2.821 * [backup-simplify]: Simplify 1.0 into 1.0 2.822 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.822 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 2.822 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.822 * [taylor]: Taking taylor expansion of x in x 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 1 into 1 2.822 * [taylor]: Taking taylor expansion of 1.0 in x 2.822 * [backup-simplify]: Simplify 1.0 into 1.0 2.822 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.823 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 2.823 * [backup-simplify]: Simplify 1.0 into 1.0 2.823 * [backup-simplify]: Simplify (+ 1 0) into 1 2.824 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 2.824 * [backup-simplify]: Simplify 2.0 into 2.0 2.824 * [backup-simplify]: Simplify (+ 0 0) into 0 2.825 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (+ (* 2.0 x) 1.0)) into (+ (pow x 2) (+ (* 2.0 x) 1.0)) 2.825 * [backup-simplify]: Simplify (* (+ 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) into (pow (+ (/ 1 x) 1.0) 2) 2.825 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in (x) around 0 2.825 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 2.825 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.825 * [taylor]: Taking taylor expansion of x in x 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.826 * [backup-simplify]: Simplify (/ 1 1) into 1 2.826 * [taylor]: Taking taylor expansion of 1.0 in x 2.826 * [backup-simplify]: Simplify 1.0 into 1.0 2.826 * [backup-simplify]: Simplify (+ 1 0) into 1 2.826 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 2.826 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.826 * [taylor]: Taking taylor expansion of x in x 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.826 * [backup-simplify]: Simplify (/ 1 1) into 1 2.826 * [taylor]: Taking taylor expansion of 1.0 in x 2.826 * [backup-simplify]: Simplify 1.0 into 1.0 2.827 * [backup-simplify]: Simplify (+ 1 0) into 1 2.827 * [backup-simplify]: Simplify (* 1 1) into 1 2.827 * [backup-simplify]: Simplify 1 into 1 2.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.828 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.828 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 2.828 * [backup-simplify]: Simplify 2.0 into 2.0 2.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.829 * [backup-simplify]: Simplify (+ 0 0) into 0 2.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 2.831 * [backup-simplify]: Simplify 1.0 into 1.0 2.831 * [backup-simplify]: Simplify (+ 1.0 (+ (* 2.0 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2)))) into (+ (pow x 2) (+ (* 2.0 x) 1.0)) 2.831 * [backup-simplify]: Simplify (* (+ 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (pow (- 1.0 (/ 1 x)) 2) 2.831 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in (x) around 0 2.831 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 2.831 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.831 * [taylor]: Taking taylor expansion of 1.0 in x 2.831 * [backup-simplify]: Simplify 1.0 into 1.0 2.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.831 * [taylor]: Taking taylor expansion of x in x 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 1 into 1 2.832 * [backup-simplify]: Simplify (/ 1 1) into 1 2.832 * [backup-simplify]: Simplify (- 1) into -1 2.832 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.832 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 2.832 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.832 * [taylor]: Taking taylor expansion of 1.0 in x 2.832 * [backup-simplify]: Simplify 1.0 into 1.0 2.832 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.832 * [taylor]: Taking taylor expansion of x in x 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify 1 into 1 2.833 * [backup-simplify]: Simplify (/ 1 1) into 1 2.833 * [backup-simplify]: Simplify (- 1) into -1 2.833 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.833 * [backup-simplify]: Simplify (* -1 -1) into 1 2.833 * [backup-simplify]: Simplify 1 into 1 2.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.834 * [backup-simplify]: Simplify (- 0) into 0 2.834 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.835 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 2.836 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (- 0) into 0 2.837 * [backup-simplify]: Simplify (+ 0 0) into 0 2.838 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 2.838 * [backup-simplify]: Simplify 1.0 into 1.0 2.839 * [backup-simplify]: Simplify (+ 1.0 (+ (* (- 2.0) (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2)))) into (+ (pow x 2) (+ (* 2.0 x) 1.0)) 2.839 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 2.839 * [backup-simplify]: Simplify (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))) into (/ (- 1.0 (pow x 2)) (pow (+ x 1.0) 2)) 2.839 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) (pow (+ x 1.0) 2)) in (x) around 0 2.839 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) (pow (+ x 1.0) 2)) in x 2.839 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.839 * [taylor]: Taking taylor expansion of 1.0 in x 2.839 * [backup-simplify]: Simplify 1.0 into 1.0 2.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.839 * [taylor]: Taking taylor expansion of x in x 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 1 into 1 2.839 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 2.839 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.839 * [taylor]: Taking taylor expansion of x in x 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 1 into 1 2.839 * [taylor]: Taking taylor expansion of 1.0 in x 2.839 * [backup-simplify]: Simplify 1.0 into 1.0 2.840 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.840 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.840 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 2.840 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 2.841 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) (pow (+ x 1.0) 2)) in x 2.841 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.841 * [taylor]: Taking taylor expansion of 1.0 in x 2.841 * [backup-simplify]: Simplify 1.0 into 1.0 2.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.841 * [taylor]: Taking taylor expansion of x in x 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 1 into 1 2.841 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 2.841 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.841 * [taylor]: Taking taylor expansion of x in x 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 1 into 1 2.841 * [taylor]: Taking taylor expansion of 1.0 in x 2.841 * [backup-simplify]: Simplify 1.0 into 1.0 2.841 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.841 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.842 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 2.845 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 2.846 * [backup-simplify]: Simplify 1.0 into 1.0 2.846 * [backup-simplify]: Simplify (+ 0 0) into 0 2.846 * [backup-simplify]: Simplify (+ 1 0) into 1 2.847 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 2.849 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 2.0 1.0)))) into (- 2.0) 2.849 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.849 * [backup-simplify]: Simplify (* 1 1) into 1 2.850 * [backup-simplify]: Simplify (- 1) into -1 2.850 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.850 * [backup-simplify]: Simplify (+ 0 0) into 0 2.851 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 2.856 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)) (* (- 2.0) (/ 2.0 1.0)))) into 2.0 2.856 * [backup-simplify]: Simplify 2.0 into 2.0 2.856 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 2.857 * [backup-simplify]: Simplify (/ (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) (* (+ 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (/ (- 1.0 (/ 1 (pow x 2))) (pow (+ (/ 1 x) 1.0) 2)) 2.857 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (+ (/ 1 x) 1.0) 2)) in (x) around 0 2.857 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (+ (/ 1 x) 1.0) 2)) in x 2.857 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.857 * [taylor]: Taking taylor expansion of 1.0 in x 2.857 * [backup-simplify]: Simplify 1.0 into 1.0 2.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.857 * [taylor]: Taking taylor expansion of x in x 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 1 into 1 2.858 * [backup-simplify]: Simplify (* 1 1) into 1 2.858 * [backup-simplify]: Simplify (/ 1 1) into 1 2.858 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 2.858 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.858 * [taylor]: Taking taylor expansion of x in x 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 1 into 1 2.859 * [backup-simplify]: Simplify (/ 1 1) into 1 2.859 * [taylor]: Taking taylor expansion of 1.0 in x 2.859 * [backup-simplify]: Simplify 1.0 into 1.0 2.859 * [backup-simplify]: Simplify (+ 1 0) into 1 2.860 * [backup-simplify]: Simplify (- 1) into -1 2.860 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.860 * [backup-simplify]: Simplify (* 1 1) into 1 2.861 * [backup-simplify]: Simplify (/ -1 1) into -1 2.861 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (+ (/ 1 x) 1.0) 2)) in x 2.861 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.861 * [taylor]: Taking taylor expansion of 1.0 in x 2.861 * [backup-simplify]: Simplify 1.0 into 1.0 2.861 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.861 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.861 * [taylor]: Taking taylor expansion of x in x 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 1 into 1 2.861 * [backup-simplify]: Simplify (* 1 1) into 1 2.862 * [backup-simplify]: Simplify (/ 1 1) into 1 2.862 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 2.862 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.862 * [taylor]: Taking taylor expansion of x in x 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 1 into 1 2.862 * [backup-simplify]: Simplify (/ 1 1) into 1 2.862 * [taylor]: Taking taylor expansion of 1.0 in x 2.862 * [backup-simplify]: Simplify 1.0 into 1.0 2.862 * [backup-simplify]: Simplify (+ 1 0) into 1 2.863 * [backup-simplify]: Simplify (- 1) into -1 2.863 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.864 * [backup-simplify]: Simplify (* 1 1) into 1 2.864 * [backup-simplify]: Simplify (/ -1 1) into -1 2.864 * [backup-simplify]: Simplify -1 into -1 2.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.866 * [backup-simplify]: Simplify (- 0) into 0 2.866 * [backup-simplify]: Simplify (+ 0 0) into 0 2.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.868 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.869 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 2.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 2.0 1)))) into 2.0 2.872 * [backup-simplify]: Simplify 2.0 into 2.0 2.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (- 0) into 0 2.875 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.876 * [backup-simplify]: Simplify (+ 0 0) into 0 2.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 2.883 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)) (* 2.0 (/ 2.0 1)))) into (- 2.0) 2.884 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.884 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 2.885 * [backup-simplify]: Simplify (/ (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x)))) (* (+ 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (/ (- 1.0 (/ 1 (pow x 2))) (pow (- 1.0 (/ 1 x)) 2)) 2.885 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (- 1.0 (/ 1 x)) 2)) in (x) around 0 2.885 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (- 1.0 (/ 1 x)) 2)) in x 2.885 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.885 * [taylor]: Taking taylor expansion of 1.0 in x 2.885 * [backup-simplify]: Simplify 1.0 into 1.0 2.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.885 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.885 * [taylor]: Taking taylor expansion of x in x 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify 1 into 1 2.886 * [backup-simplify]: Simplify (* 1 1) into 1 2.886 * [backup-simplify]: Simplify (/ 1 1) into 1 2.886 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 2.886 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.886 * [taylor]: Taking taylor expansion of 1.0 in x 2.886 * [backup-simplify]: Simplify 1.0 into 1.0 2.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.887 * [taylor]: Taking taylor expansion of x in x 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify 1 into 1 2.887 * [backup-simplify]: Simplify (/ 1 1) into 1 2.887 * [backup-simplify]: Simplify (- 1) into -1 2.888 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.888 * [backup-simplify]: Simplify (- 1) into -1 2.889 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.889 * [backup-simplify]: Simplify (* -1 -1) into 1 2.890 * [backup-simplify]: Simplify (/ -1 1) into -1 2.890 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (- 1.0 (/ 1 x)) 2)) in x 2.890 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.890 * [taylor]: Taking taylor expansion of 1.0 in x 2.890 * [backup-simplify]: Simplify 1.0 into 1.0 2.890 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.890 * [taylor]: Taking taylor expansion of x in x 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (* 1 1) into 1 2.891 * [backup-simplify]: Simplify (/ 1 1) into 1 2.891 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 2.891 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.891 * [taylor]: Taking taylor expansion of 1.0 in x 2.891 * [backup-simplify]: Simplify 1.0 into 1.0 2.891 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.891 * [taylor]: Taking taylor expansion of x in x 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [backup-simplify]: Simplify (/ 1 1) into 1 2.892 * [backup-simplify]: Simplify (- 1) into -1 2.892 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.893 * [backup-simplify]: Simplify (- 1) into -1 2.893 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.893 * [backup-simplify]: Simplify (* -1 -1) into 1 2.894 * [backup-simplify]: Simplify (/ -1 1) into -1 2.894 * [backup-simplify]: Simplify -1 into -1 2.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.896 * [backup-simplify]: Simplify (- 0) into 0 2.896 * [backup-simplify]: Simplify (+ 0 0) into 0 2.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify (- 0) into 0 2.898 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.900 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 2.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- 2.0) 1)))) into (- 2.0) 2.904 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (- 0) into 0 2.907 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.908 * [backup-simplify]: Simplify (- 0) into 0 2.908 * [backup-simplify]: Simplify (+ 0 0) into 0 2.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 2.917 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)) (* (- 2.0) (/ (- 2.0) 1)))) into (- 2.0) 2.917 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.918 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 2.918 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.919 * [backup-simplify]: Simplify (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) into (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) 2.919 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) in (x) around 0 2.919 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) in x 2.919 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.919 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.919 * [taylor]: Taking taylor expansion of 1.0 in x 2.919 * [backup-simplify]: Simplify 1.0 into 1.0 2.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.919 * [taylor]: Taking taylor expansion of x in x 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 1 into 1 2.920 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.921 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.921 * [backup-simplify]: Simplify (+ 0 0) into 0 2.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.922 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 2.922 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.922 * [taylor]: Taking taylor expansion of x in x 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 1 into 1 2.922 * [taylor]: Taking taylor expansion of 1.0 in x 2.922 * [backup-simplify]: Simplify 1.0 into 1.0 2.923 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.923 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 2.923 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) in x 2.923 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.923 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.923 * [taylor]: Taking taylor expansion of 1.0 in x 2.923 * [backup-simplify]: Simplify 1.0 into 1.0 2.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.923 * [taylor]: Taking taylor expansion of x in x 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.924 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.925 * [backup-simplify]: Simplify (+ 0 0) into 0 2.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.925 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 2.925 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.925 * [taylor]: Taking taylor expansion of x in x 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify 1 into 1 2.925 * [taylor]: Taking taylor expansion of 1.0 in x 2.926 * [backup-simplify]: Simplify 1.0 into 1.0 2.926 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.926 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 2.928 * [backup-simplify]: Simplify (* (sqrt 1.0) 1.0) into (* 1.0 (sqrt 1.0)) 2.928 * [backup-simplify]: Simplify (* 1.0 (sqrt 1.0)) into (* 1.0 (sqrt 1.0)) 2.929 * [backup-simplify]: Simplify (+ 1 0) into 1 2.931 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 2.934 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- 1.0)) (* 0 1.0)) into (- (* 1.0 (sqrt 1.0))) 2.935 * [backup-simplify]: Simplify (- (* 1.0 (sqrt 1.0))) into (- (* 1.0 (sqrt 1.0))) 2.936 * [backup-simplify]: Simplify (+ 0 0) into 0 2.940 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)))) into 1.0 2.940 * [backup-simplify]: Simplify (* 1 1) into 1 2.941 * [backup-simplify]: Simplify (- 1) into -1 2.941 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.944 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 2.950 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1.0) (+ (* 0 (- 1.0)) (* (/ -1/2 (sqrt 1.0)) 1.0))) into (- (* 1.0 (sqrt 1.0)) (* 0.5 (/ 1 (sqrt 1.0)))) 2.953 * [backup-simplify]: Simplify (- (* 1.0 (sqrt 1.0)) (* 0.5 (/ 1 (sqrt 1.0)))) into (- (* 1.0 (sqrt 1.0)) (* 0.5 (/ 1 (sqrt 1.0)))) 2.957 * [backup-simplify]: Simplify (+ (* (- (* 1.0 (sqrt 1.0)) (* 0.5 (/ 1 (sqrt 1.0)))) (pow x 2)) (+ (* (- (* 1.0 (sqrt 1.0))) x) (* 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (* (pow x 2) (sqrt 1.0))) (* 1.0 (sqrt 1.0))) (+ (* 1.0 (* x (sqrt 1.0))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) 2.958 * [backup-simplify]: Simplify (sqrt (/ (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) (* (+ 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) 2.958 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 2.958 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.958 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 2.958 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.958 * [taylor]: Taking taylor expansion of x in x 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 1 into 1 2.958 * [backup-simplify]: Simplify (/ 1 1) into 1 2.958 * [taylor]: Taking taylor expansion of 1.0 in x 2.958 * [backup-simplify]: Simplify 1.0 into 1.0 2.959 * [backup-simplify]: Simplify (+ 1 0) into 1 2.959 * [backup-simplify]: Simplify (/ 1 1) into 1 2.959 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.959 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.959 * [taylor]: Taking taylor expansion of 1.0 in x 2.959 * [backup-simplify]: Simplify 1.0 into 1.0 2.959 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.959 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.959 * [taylor]: Taking taylor expansion of x in x 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 1 into 1 2.959 * [backup-simplify]: Simplify (* 1 1) into 1 2.960 * [backup-simplify]: Simplify (/ 1 1) into 1 2.960 * [backup-simplify]: Simplify (- 1) into -1 2.960 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.960 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.961 * [backup-simplify]: Simplify (- 0) into 0 2.961 * [backup-simplify]: Simplify (+ 0 0) into 0 2.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 2.962 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.962 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 2.962 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.962 * [taylor]: Taking taylor expansion of x in x 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (/ 1 1) into 1 2.962 * [taylor]: Taking taylor expansion of 1.0 in x 2.962 * [backup-simplify]: Simplify 1.0 into 1.0 2.963 * [backup-simplify]: Simplify (+ 1 0) into 1 2.963 * [backup-simplify]: Simplify (/ 1 1) into 1 2.963 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.963 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.963 * [taylor]: Taking taylor expansion of 1.0 in x 2.963 * [backup-simplify]: Simplify 1.0 into 1.0 2.963 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.963 * [taylor]: Taking taylor expansion of x in x 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (* 1 1) into 1 2.963 * [backup-simplify]: Simplify (/ 1 1) into 1 2.964 * [backup-simplify]: Simplify (- 1) into -1 2.964 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.964 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.965 * [backup-simplify]: Simplify (- 0) into 0 2.965 * [backup-simplify]: Simplify (+ 0 0) into 0 2.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 2.966 * [backup-simplify]: Simplify (* 1 (sqrt -1)) into (sqrt -1) 2.967 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.967 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 2.970 * [backup-simplify]: Simplify (+ (* 1 0) (* (- 1.0) (sqrt -1))) into (- (* 1.0 (sqrt -1))) 2.974 * [backup-simplify]: Simplify (- (* 1.0 (sqrt -1))) into (- (* 1.0 (sqrt -1))) 2.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.975 * [backup-simplify]: Simplify (- 0) into 0 2.976 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.978 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 2.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.978 * [backup-simplify]: Simplify (+ 0 0) into 0 2.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 2.988 * [backup-simplify]: Simplify (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* (- 1.0) 0) (* 1.0 (sqrt -1)))) into (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1)))) 2.992 * [backup-simplify]: Simplify (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1)))) into (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1)))) 2.998 * [backup-simplify]: Simplify (+ (* (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 x) 2)) (+ (* (- (* 1.0 (sqrt -1))) (/ 1 x)) (sqrt -1))) into (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2))))) (* 1.0 (/ (sqrt -1) x))) 2.999 * [backup-simplify]: Simplify (sqrt (/ (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x)))) (* (+ 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))))) into (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) 2.999 * [approximate]: Taking taylor expansion of (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 3.000 * [taylor]: Taking taylor expansion of (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.000 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 3.000 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.000 * [taylor]: Taking taylor expansion of 1.0 in x 3.000 * [backup-simplify]: Simplify 1.0 into 1.0 3.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.000 * [taylor]: Taking taylor expansion of x in x 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (/ 1 1) into 1 3.001 * [backup-simplify]: Simplify (- 1) into -1 3.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.001 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.001 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.001 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.001 * [taylor]: Taking taylor expansion of 1.0 in x 3.002 * [backup-simplify]: Simplify 1.0 into 1.0 3.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.002 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.002 * [taylor]: Taking taylor expansion of x in x 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 1 into 1 3.002 * [backup-simplify]: Simplify (* 1 1) into 1 3.002 * [backup-simplify]: Simplify (/ 1 1) into 1 3.003 * [backup-simplify]: Simplify (- 1) into -1 3.003 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.004 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.005 * [backup-simplify]: Simplify (- 0) into 0 3.006 * [backup-simplify]: Simplify (+ 0 0) into 0 3.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.006 * [taylor]: Taking taylor expansion of (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.007 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 3.007 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.007 * [taylor]: Taking taylor expansion of 1.0 in x 3.007 * [backup-simplify]: Simplify 1.0 into 1.0 3.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.007 * [taylor]: Taking taylor expansion of x in x 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify (/ 1 1) into 1 3.007 * [backup-simplify]: Simplify (- 1) into -1 3.008 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.008 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.008 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.008 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.008 * [taylor]: Taking taylor expansion of 1.0 in x 3.008 * [backup-simplify]: Simplify 1.0 into 1.0 3.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.009 * [taylor]: Taking taylor expansion of x in x 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 1 into 1 3.009 * [backup-simplify]: Simplify (* 1 1) into 1 3.009 * [backup-simplify]: Simplify (/ 1 1) into 1 3.010 * [backup-simplify]: Simplify (- 1) into -1 3.010 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.011 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (- 0) into 0 3.013 * [backup-simplify]: Simplify (+ 0 0) into 0 3.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.014 * [backup-simplify]: Simplify (* -1 (sqrt -1)) into (* -1 (sqrt -1)) 3.015 * [backup-simplify]: Simplify (* -1 (sqrt -1)) into (* -1 (sqrt -1)) 3.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.017 * [backup-simplify]: Simplify (- 0) into 0 3.017 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.019 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 3.022 * [backup-simplify]: Simplify (+ (* -1 0) (* (- 1.0) (sqrt -1))) into (- (* 1.0 (sqrt -1))) 3.024 * [backup-simplify]: Simplify (- (* 1.0 (sqrt -1))) into (- (* 1.0 (sqrt -1))) 3.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (- 0) into 0 3.026 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.028 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.030 * [backup-simplify]: Simplify (- 0) into 0 3.030 * [backup-simplify]: Simplify (+ 0 0) into 0 3.032 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 3.035 * [backup-simplify]: Simplify (+ (* -1 (/ 0.5 (sqrt -1))) (+ (* (- 1.0) 0) (* (- 1.0) (sqrt -1)))) into (- (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1))))) 3.038 * [backup-simplify]: Simplify (- (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1))))) into (- (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1))))) 3.043 * [backup-simplify]: Simplify (+ (* (- (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 1.0 (sqrt -1))) (/ 1 (- x))) (* -1 (sqrt -1)))) into (- (* 1.0 (/ (sqrt -1) x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2)))))) 3.043 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.043 * [backup-simplify]: Simplify (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) into (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 3.043 * [approximate]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) in (x) around 0 3.043 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) in x 3.043 * [backup-simplify]: Simplify (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) into (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 3.043 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) in x 3.044 * [backup-simplify]: Simplify (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) into (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 3.044 * [backup-simplify]: Simplify (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) into (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) into (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 3.045 * [backup-simplify]: Simplify (atan (sqrt (/ (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) (* (+ 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))))) into (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 3.045 * [approximate]: Taking taylor expansion of (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 3.045 * [taylor]: Taking taylor expansion of (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 3.045 * [backup-simplify]: Simplify (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) into (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (+ 1.0 (/ 1 x))))) 3.045 * [taylor]: Taking taylor expansion of (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 3.045 * [backup-simplify]: Simplify (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) into (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (+ 1.0 (/ 1 x))))) 3.045 * [backup-simplify]: Simplify (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (+ 1.0 (/ 1 x))))) into (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify (atan (* (/ 1 (+ (/ 1 (/ 1 x)) 1.0)) (sqrt (- 1.0 (/ 1 (pow (/ 1 x) 2)))))) into (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 3.046 * [backup-simplify]: Simplify (atan (sqrt (/ (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x)))) (* (+ 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))))) into (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 3.046 * [approximate]: Taking taylor expansion of (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 3.046 * [taylor]: Taking taylor expansion of (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 3.047 * [backup-simplify]: Simplify (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) into (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 3.047 * [taylor]: Taking taylor expansion of (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 3.047 * [backup-simplify]: Simplify (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) into (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 3.047 * [backup-simplify]: Simplify (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) into (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 3.047 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify (atan (* (/ 1 (- 1.0 (/ 1 (/ 1 (- x))))) (sqrt (- 1.0 (/ 1 (pow (/ 1 (- x)) 2)))))) into (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 3.047 * * * [progress]: simplifying candidates 3.050 * [simplify]: Simplifying: (+ 1 1) (* (+ 1.0 x) (+ 1.0 x)) (+ 1 1) (+ (log (+ 1.0 x)) (log (+ 1.0 x))) (log (* (+ 1.0 x) (+ 1.0 x))) (exp (* (+ 1.0 x) (+ 1.0 x))) (* (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (* (+ 1.0 x) (+ 1.0 x))) (cbrt (* (+ 1.0 x) (+ 1.0 x)))) (cbrt (* (+ 1.0 x) (+ 1.0 x))) (* (* (* (+ 1.0 x) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 x))) (* (+ 1.0 x) (+ 1.0 x))) (sqrt (* (+ 1.0 x) (+ 1.0 x))) (sqrt (* (+ 1.0 x) (+ 1.0 x))) (* (+ (pow 1.0 3) (pow x 3)) (+ (pow 1.0 3) (pow x 3))) (* (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (* (+ (pow 1.0 3) (pow x 3)) (- (* 1.0 1.0) (* x x))) (* (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))) (- 1.0 x)) (* (- (* 1.0 1.0) (* x x)) (+ (pow 1.0 3) (pow x 3))) (* (- 1.0 x) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* x x))) (* (- 1.0 x) (- 1.0 x)) (* (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* 1 1) (* (+ 1.0 x) (+ 1.0 x)) (* 1 1) (* (+ 1.0 x) (+ 1.0 x)) (* 1 1) (* (+ 1.0 x) (+ 1.0 x)) (* 1 1) (* (+ 1.0 x) (+ 1.0 x)) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* 2 1) (* (+ 1.0 x) 1.0) (* (+ 1.0 x) x) (* 1.0 (+ 1.0 x)) (* x (+ 1.0 x)) (* (+ 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (* (+ 1.0 x) (sqrt (+ 1.0 x))) (* (+ 1.0 x) 1) (* (+ 1.0 x) 1) (* (cbrt (+ 1.0 x)) (+ 1.0 x)) (* (sqrt (+ 1.0 x)) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 x)) (* (+ 1.0 x) (+ (pow 1.0 3) (pow x 3))) (* (+ 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ (pow 1.0 3) (pow x 3)) (+ 1.0 x)) (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (- (log (- (* 1.0 1.0) (* x x))) (+ (log (+ 1.0 x)) (log (+ 1.0 x)))) (- (log (- (* 1.0 1.0) (* x x))) (log (* (+ 1.0 x) (+ 1.0 x)))) (log (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (exp (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (/ (* (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* x x))) (- (* 1.0 1.0) (* x x))) (* (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x)))) (/ (* (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* x x))) (- (* 1.0 1.0) (* x x))) (* (* (* (+ 1.0 x) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 x))) (* (+ 1.0 x) (+ 1.0 x)))) (* (cbrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (cbrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) (cbrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (* (* (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))) (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (- (- (* 1.0 1.0) (* x x))) (- (* (+ 1.0 x) (+ 1.0 x))) (/ (* 1.0 1.0) (* (+ 1.0 x) (+ 1.0 x))) (/ (* x x) (* (+ 1.0 x) (+ 1.0 x))) (/ (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (cbrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (/ (+ 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (* (+ 1.0 x) (+ 1.0 x))) (/ (* (+ 1.0 x) (+ 1.0 x)) (- (* 1.0 1.0) (* x x))) (/ (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (/ (* (+ 1.0 x) (+ 1.0 x)) (cbrt (- (* 1.0 1.0) (* x x)))) (/ (* (+ 1.0 x) (+ 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (* (+ 1.0 x) (+ 1.0 x)) (- (* 1.0 1.0) (* x x))) (/ (* (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) (/ (- (* 1.0 1.0) (* x x)) (* (+ (pow 1.0 3) (pow x 3)) (+ (pow 1.0 3) (pow x 3)))) (/ (- (* 1.0 1.0) (* x x)) (* (+ (pow 1.0 3) (pow x 3)) (- (* 1.0 1.0) (* x x)))) (/ (- (* 1.0 1.0) (* x x)) (* (- (* 1.0 1.0) (* x x)) (+ (pow 1.0 3) (pow x 3)))) (/ (- (* 1.0 1.0) (* x x)) (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* x x)))) (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (- (* 1.0 1.0) (* x x)))) (/ (- (* 1.0 1.0) (* x x)) (* (+ (pow 1.0 3) (pow x 3)) (+ 1.0 x))) (/ (- (* 1.0 1.0) (* x x)) (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x))) (* (* (+ 1.0 x) (+ 1.0 x)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x))))) (* (* (+ 1.0 x) (+ 1.0 x)) (+ (* 1.0 1.0) (* x x))) (log (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) (exp (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) (* (cbrt (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))) (cbrt (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) (* (* (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) (sqrt (* (cbrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (cbrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))) (sqrt (cbrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) (sqrt (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) (sqrt (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) (sqrt (/ (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x))) (sqrt (/ (cbrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- (* 1.0 1.0) (* x x)) (+ 1.0 x))) (sqrt (/ (+ 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (/ 1 (* (+ 1.0 x) (+ 1.0 x)))) (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ (pow 1.0 3) (pow x 3)) (+ (pow 1.0 3) (pow x 3))))) (sqrt (* (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ (pow 1.0 3) (pow x 3)) (- (* 1.0 1.0) (* x x))))) (sqrt (* (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))) (- 1.0 x))) (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (- (* 1.0 1.0) (* x x)) (+ (pow 1.0 3) (pow x 3))))) (sqrt (* (- 1.0 x) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* x x))))) (sqrt (* (- 1.0 x) (- 1.0 x))) (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ (pow 1.0 3) (pow x 3))))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (- (* 1.0 1.0) (* x x))))) (sqrt (- 1.0 x)) (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ (pow 1.0 3) (pow x 3)) (+ 1.0 x)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x)))) (sqrt (- 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (* (+ 1.0 x) (+ 1.0 x))) (/ 1 2) (sqrt (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) (sqrt (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))) (exp (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))) (* (cbrt (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))))) (cbrt (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))) (* (* (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))) (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))) (sqrt (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))) (sqrt (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))) (+ (pow x 2) (+ (* 2.0 x) 1.0)) (+ (pow x 2) (+ (* 2.0 x) 1.0)) (+ (pow x 2) (+ (* 2.0 x) 1.0)) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (+ (* 1.0 (* (pow x 2) (sqrt 1.0))) (* 1.0 (sqrt 1.0))) (+ (* 1.0 (* x (sqrt 1.0))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2))))) (* 1.0 (/ (sqrt -1) x))) (- (* 1.0 (/ (sqrt -1) x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2)))))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 3.055 * * [simplify]: Extracting # 0 : cost 0 3.055 * * [simplify]: Extracting # 1 : cost 0 3.055 * * [simplify]: Extracting # 2 : cost 0 3.056 * * [simplify]: Extracting # 3 : cost 0 3.056 * * [simplify]: Extracting # 4 : cost 0 3.057 * * [simplify]: Extracting # 5 : cost 0 3.057 * * [simplify]: Extracting # 6 : cost 0 3.058 * * [simplify]: Extracting # 7 : cost 0 3.059 * * [simplify]: Extracting # 8 : cost 0 3.059 * * [simplify]: Extracting # 9 : cost 0 3.060 * * [simplify]: iteration 0 : 192 enodes (cost 2249 ) 3.157 * * [simplify]: Extracting # 0 : cost 0 3.158 * * [simplify]: Extracting # 1 : cost 0 3.159 * * [simplify]: Extracting # 2 : cost 0 3.161 * * [simplify]: Extracting # 3 : cost 0 3.162 * * [simplify]: Extracting # 4 : cost 0 3.163 * * [simplify]: iteration 1 : 497 enodes (cost 2091 ) 3.509 * * [simplify]: Extracting # 0 : cost 0 3.511 * * [simplify]: Extracting # 1 : cost 0 3.513 * * [simplify]: Extracting # 2 : cost 0 3.515 * * [simplify]: Extracting # 3 : cost 0 3.517 * * [simplify]: Extracting # 4 : cost 0 3.520 * * [simplify]: iteration 2 : 1830 enodes (cost 1501 ) 5.054 * * [simplify]: Extracting # 0 : cost 0 5.062 * * [simplify]: Extracting # 1 : cost 0 5.073 * * [simplify]: Extracting # 2 : cost 0 5.094 * * [simplify]: Extracting # 3 : cost 0 5.106 * * [simplify]: Extracting # 4 : cost 0 5.116 * * [simplify]: iteration done: 5000 enodes (cost 1366 ) 5.118 * [simplify]: Simplified to: 2 (pow (sqrt (+ 1.0 x)) 4) 2 (* 2 (log (+ 1.0 x))) (* 2 (log (+ 1.0 x))) (exp (pow (sqrt (+ 1.0 x)) 4)) (pow (+ x 1.0) (* 2 3)) (* (cbrt (pow (sqrt (+ 1.0 x)) 4)) (cbrt (pow (sqrt (+ 1.0 x)) 4))) (cbrt (pow (sqrt (+ 1.0 x)) 4)) (pow (+ x 1.0) (* 2 3)) (fabs (+ 1.0 x)) (fabs (+ 1.0 x)) (* (+ (pow 1.0 3) (pow x 3)) (+ (pow 1.0 3) (pow x 3))) (* (+ (* 1.0 1.0) (* x (- x 1.0))) (+ (* 1.0 1.0) (* x (- x 1.0)))) (* (+ (pow 1.0 3) (pow x 3)) (- (* 1.0 1.0) (* x x))) (* (+ (* 1.0 1.0) (* x (- x 1.0))) (- 1.0 x)) (* (+ (pow 1.0 3) (pow x 3)) (- (* 1.0 1.0) (* x x))) (* (+ (* 1.0 1.0) (* x (- x 1.0))) (- 1.0 x)) (* (pow (sqrt (+ 1.0 x)) 4) (* (- 1.0 x) (- 1.0 x))) (* (- 1.0 x) (- 1.0 x)) (pow (cbrt (+ 1.0 x)) 4) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))) (+ x 1.0) (+ x 1.0) 1 (pow (sqrt (+ 1.0 x)) 4) 1 (pow (sqrt (+ 1.0 x)) 4) 1 (pow (sqrt (+ 1.0 x)) 4) 1 (pow (sqrt (+ 1.0 x)) 4) (+ x 1.0) (+ x 1.0) 2 (* (+ 1.0 x) 1.0) (* (+ 1.0 x) x) (* (+ 1.0 x) 1.0) (* (+ 1.0 x) x) (* (pow (cbrt (+ 1.0 x)) 4) (cbrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (+ x 1.0) (+ x 1.0) (pow (cbrt (+ 1.0 x)) 4) (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt (+ 1.0 x)) 4) (pow (sqrt (+ 1.0 x)) 4) (* (+ 1.0 x) (+ (pow 1.0 3) (pow x 3))) (* (pow (sqrt (+ 1.0 x)) 4) (- 1.0 x)) (* (+ 1.0 x) (+ (pow 1.0 3) (pow x 3))) (* (pow (sqrt (+ 1.0 x)) 4) (- 1.0 x)) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- (* 1.0 1.0) (* x x))) (- (pow (sqrt (+ 1.0 x)) 4)) (/ 1.0 (/ (pow (sqrt (+ 1.0 x)) 4) 1.0)) (/ (* x x) (pow (sqrt (+ 1.0 x)) 4)) (/ (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (cbrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ 1 (+ x 1.0)) (- 1.0 x) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (pow (sqrt (+ 1.0 x)) 4)) (/ (+ x 1.0) (- 1.0 x)) (- 1.0 x) (/ (pow (sqrt (+ 1.0 x)) 4) (cbrt (- (* 1.0 1.0) (* x x)))) (/ (pow (sqrt (+ 1.0 x)) 4) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (+ x 1.0) (- 1.0 x)) (/ (pow (sqrt (+ 1.0 x)) 4) (- 1.0 x)) (/ (- (* 1.0 1.0) (* x x)) (* (+ (pow 1.0 3) (pow x 3)) (+ (pow 1.0 3) (pow x 3)))) (/ 1 (+ (pow 1.0 3) (pow x 3))) (/ 1 (+ (pow 1.0 3) (pow x 3))) (/ 1 (- (* 1.0 1.0) (* x x))) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ 1 (+ x 1.0)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ 1 (+ x 1.0)) (* (pow (sqrt (+ 1.0 x)) 4) (+ (+ (pow 1.0 4) (pow x 4)) (* (* 1.0 1.0) (* x x)))) (* (pow (sqrt (+ 1.0 x)) 4) (+ (* x x) (* 1.0 1.0))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (fabs (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fabs (/ (cbrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (sqrt (/ 1 (+ 1.0 x))) (sqrt (- 1.0 x)) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (/ 1 (pow (sqrt (+ 1.0 x)) 4))) (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ (pow 1.0 3) (pow x 3)) (+ (pow 1.0 3) (pow x 3))))) (fabs (+ (* 1.0 1.0) (* x (- x 1.0)))) (sqrt (/ 1 (+ (pow 1.0 3) (pow x 3)))) (sqrt (* (+ (* 1.0 1.0) (* x (- x 1.0))) (- 1.0 x))) (sqrt (/ 1 (+ (pow 1.0 3) (pow x 3)))) (sqrt (* (+ (* 1.0 1.0) (* x (- x 1.0))) (- 1.0 x))) (sqrt (/ 1 (- (* 1.0 1.0) (* x x)))) (fabs (- 1.0 x)) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (* x (- x 1.0)))) (sqrt (/ 1 (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (* x (- x 1.0)))) (sqrt (/ 1 (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (+ (* x (+ x 2.0)) 1.0) (+ (* x (+ x 2.0)) 1.0) (+ (* x (+ x 2.0)) 1.0) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (+ (/ 2.0 x) -1) (/ 2.0 (* x x))) (- (+ (/ 2.0 x) -1) (/ 2.0 (* x x))) (- (* 1.0 (- (* (+ (* x x) 1) (sqrt 1.0)) (* x (sqrt 1.0)))) (* 0.5 (/ (pow x 2) (sqrt 1.0)))) (+ (- (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2)))) (* 1.0 (/ (sqrt -1) x))) (/ 0.5 (* (pow x 2) (sqrt -1)))) (- (* 1.0 (/ (sqrt -1) x)) (+ (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2)))) (/ 0.5 (* (pow x 2) (sqrt -1))))) (atan (/ (sqrt (- 1.0 (pow x 2))) (+ x 1.0))) (atan (/ (sqrt (- 1.0 (pow x 2))) (+ x 1.0))) (atan (/ (sqrt (- 1.0 (pow x 2))) (+ x 1.0))) 5.120 * * * [progress]: adding candidates to table 5.595 * * [progress]: iteration 3 / 4 5.595 * * * [progress]: picking best candidate 5.600 * * * * [pick]: Picked # 5.600 * * * [progress]: localizing error 5.636 * * * [progress]: generating rewritten candidates 5.636 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 5.667 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 5.700 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.763 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.773 * * * [progress]: generating series expansions 5.773 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 5.774 * [backup-simplify]: Simplify (sqrt (/ 1 (- (* 1.0 1.0) (* x x)))) into (sqrt (/ 1 (- 1.0 (pow x 2)))) 5.774 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (pow x 2)))) in (x) around 0 5.774 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (pow x 2)))) in x 5.774 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (pow x 2))) in x 5.774 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 5.774 * [taylor]: Taking taylor expansion of 1.0 in x 5.774 * [backup-simplify]: Simplify 1.0 into 1.0 5.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.774 * [taylor]: Taking taylor expansion of x in x 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [backup-simplify]: Simplify 1 into 1 5.775 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.775 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 5.776 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.776 * [backup-simplify]: Simplify (+ 0 0) into 0 5.777 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0 5.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 5.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (pow x 2)))) in x 5.778 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (pow x 2))) in x 5.778 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 5.778 * [taylor]: Taking taylor expansion of 1.0 in x 5.778 * [backup-simplify]: Simplify 1.0 into 1.0 5.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.778 * [taylor]: Taking taylor expansion of x in x 5.778 * [backup-simplify]: Simplify 0 into 0 5.778 * [backup-simplify]: Simplify 1 into 1 5.778 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.779 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 5.779 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.780 * [backup-simplify]: Simplify (+ 0 0) into 0 5.780 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0 5.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 5.782 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.782 * [backup-simplify]: Simplify 0 into 0 5.782 * [backup-simplify]: Simplify (* 1 1) into 1 5.782 * [backup-simplify]: Simplify (- 1) into -1 5.783 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.786 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ -1 1.0)) (* 0 (/ 0 1.0)))) into 1.0 5.790 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 5.791 * [backup-simplify]: Simplify (/ 0.5 (sqrt 1.0)) into (/ 0.5 (sqrt 1.0)) 5.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.792 * [backup-simplify]: Simplify (- 0) into 0 5.792 * [backup-simplify]: Simplify (+ 0 0) into 0 5.793 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* 0 (/ -1 1.0)) (* 1.0 (/ 0 1.0)))) into 0 5.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 5.795 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.796 * [backup-simplify]: Simplify (- 0) into 0 5.796 * [backup-simplify]: Simplify (+ 0 0) into 0 5.799 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 1.0 (/ -1 1.0)) (* 0 (/ 0 1.0)))) into 1.0 5.803 * [backup-simplify]: Simplify (/ (- 1.0 (pow (/ 0.5 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 1.0 (* 0.25 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 5.809 * [backup-simplify]: Simplify (* 1/2 (/ (- 1.0 (* 0.25 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 1.0 (* 0.25 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 5.819 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 1.0 (* 0.25 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 4)) (+ (* (/ 0.5 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (+ (* 0.5 (/ (pow x 4) (sqrt 1.0))) (+ (sqrt 1.0) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3)))) 5.819 * [backup-simplify]: Simplify (sqrt (/ 1 (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x))))) into (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) 5.819 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 5.819 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) in x 5.819 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in x 5.819 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.820 * [taylor]: Taking taylor expansion of 1.0 in x 5.820 * [backup-simplify]: Simplify 1.0 into 1.0 5.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.820 * [taylor]: Taking taylor expansion of x in x 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify 1 into 1 5.820 * [backup-simplify]: Simplify (* 1 1) into 1 5.820 * [backup-simplify]: Simplify (/ 1 1) into 1 5.821 * [backup-simplify]: Simplify (- 1) into -1 5.821 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.822 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.822 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.824 * [backup-simplify]: Simplify (- 0) into 0 5.824 * [backup-simplify]: Simplify (+ 0 0) into 0 5.825 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 5.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.826 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) in x 5.826 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in x 5.826 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.826 * [taylor]: Taking taylor expansion of 1.0 in x 5.826 * [backup-simplify]: Simplify 1.0 into 1.0 5.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.826 * [taylor]: Taking taylor expansion of x in x 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify 1 into 1 5.826 * [backup-simplify]: Simplify (* 1 1) into 1 5.827 * [backup-simplify]: Simplify (/ 1 1) into 1 5.827 * [backup-simplify]: Simplify (- 1) into -1 5.828 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.828 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.828 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.830 * [backup-simplify]: Simplify (- 0) into 0 5.830 * [backup-simplify]: Simplify (+ 0 0) into 0 5.831 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 5.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.832 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.832 * [backup-simplify]: Simplify 0 into 0 5.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.835 * [backup-simplify]: Simplify (- 0) into 0 5.835 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.839 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)) (* 0 (/ 0 -1)))) into (- 1.0) 5.843 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ -0.5 (sqrt -1)) 5.844 * [backup-simplify]: Simplify (/ -0.5 (sqrt -1)) into (/ -0.5 (sqrt -1)) 5.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.847 * [backup-simplify]: Simplify (- 0) into 0 5.847 * [backup-simplify]: Simplify (+ 0 0) into 0 5.849 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 1.0 -1)) (* (- 1.0) (/ 0 -1)))) into 0 5.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 5.851 * [backup-simplify]: Simplify 0 into 0 5.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.853 * [backup-simplify]: Simplify (- 0) into 0 5.854 * [backup-simplify]: Simplify (+ 0 0) into 0 5.859 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)) (* 0 (/ 0 -1)))) into (- 1.0) 5.872 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow (/ -0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt -1) 2))) 1.0) (sqrt -1))) 5.881 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt -1) 2))) 1.0) (sqrt -1))) into (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt -1) 2))) 1.0) (sqrt -1))) 5.890 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt -1) 2))) 1.0) (sqrt -1))) (pow (/ 1 x) 5)) (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 x) 3)) (* (sqrt -1) (/ 1 x)))) into (- (/ (sqrt -1) x) (+ (* 0.5 (/ 1 (* (pow x 3) (sqrt -1)))) (+ (* 0.5 (/ 1 (* (pow x 5) (sqrt -1)))) (* 0.125 (/ 1 (* (pow x 5) (pow (sqrt -1) 3))))))) 5.891 * [backup-simplify]: Simplify (sqrt (/ 1 (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x)))))) into (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) 5.891 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 5.891 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) in x 5.891 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in x 5.891 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.891 * [taylor]: Taking taylor expansion of 1.0 in x 5.891 * [backup-simplify]: Simplify 1.0 into 1.0 5.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.891 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.891 * [taylor]: Taking taylor expansion of x in x 5.891 * [backup-simplify]: Simplify 0 into 0 5.891 * [backup-simplify]: Simplify 1 into 1 5.892 * [backup-simplify]: Simplify (* 1 1) into 1 5.892 * [backup-simplify]: Simplify (/ 1 1) into 1 5.893 * [backup-simplify]: Simplify (- 1) into -1 5.893 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.893 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.894 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.896 * [backup-simplify]: Simplify (- 0) into 0 5.896 * [backup-simplify]: Simplify (+ 0 0) into 0 5.897 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 5.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.898 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) in x 5.898 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in x 5.898 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.898 * [taylor]: Taking taylor expansion of 1.0 in x 5.898 * [backup-simplify]: Simplify 1.0 into 1.0 5.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.898 * [taylor]: Taking taylor expansion of x in x 5.898 * [backup-simplify]: Simplify 0 into 0 5.898 * [backup-simplify]: Simplify 1 into 1 5.898 * [backup-simplify]: Simplify (* 1 1) into 1 5.899 * [backup-simplify]: Simplify (/ 1 1) into 1 5.899 * [backup-simplify]: Simplify (- 1) into -1 5.899 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.900 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.900 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.902 * [backup-simplify]: Simplify (- 0) into 0 5.902 * [backup-simplify]: Simplify (+ 0 0) into 0 5.903 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 5.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.904 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.904 * [backup-simplify]: Simplify 0 into 0 5.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.907 * [backup-simplify]: Simplify (- 0) into 0 5.907 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.910 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)) (* 0 (/ 0 -1)))) into (- 1.0) 5.915 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ -0.5 (sqrt -1)) 5.916 * [backup-simplify]: Simplify (/ -0.5 (sqrt -1)) into (/ -0.5 (sqrt -1)) 5.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.918 * [backup-simplify]: Simplify (- 0) into 0 5.919 * [backup-simplify]: Simplify (+ 0 0) into 0 5.920 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 1.0 -1)) (* (- 1.0) (/ 0 -1)))) into 0 5.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 5.922 * [backup-simplify]: Simplify 0 into 0 5.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.924 * [backup-simplify]: Simplify (- 0) into 0 5.924 * [backup-simplify]: Simplify (+ 0 0) into 0 5.927 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)) (* 0 (/ 0 -1)))) into (- 1.0) 5.931 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow (/ -0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt -1) 2))) 1.0) (sqrt -1))) 5.935 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt -1) 2))) 1.0) (sqrt -1))) into (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt -1) 2))) 1.0) (sqrt -1))) 5.941 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt -1) 2))) 1.0) (sqrt -1))) (pow (/ 1 (- x)) 5)) (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 (- x)) 3)) (* (sqrt -1) (/ 1 (- x))))) into (- (+ (* 0.5 (/ 1 (* (pow x 3) (sqrt -1)))) (+ (* 0.5 (/ 1 (* (pow x 5) (sqrt -1)))) (* 0.125 (/ 1 (* (pow x 5) (pow (sqrt -1) 3)))))) (/ (sqrt -1) x)) 5.941 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 5.941 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 1.0) (* x x))) into (/ 1 (- 1.0 (pow x 2))) 5.941 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (pow x 2))) in (x) around 0 5.941 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (pow x 2))) in x 5.941 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 5.941 * [taylor]: Taking taylor expansion of 1.0 in x 5.941 * [backup-simplify]: Simplify 1.0 into 1.0 5.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.941 * [taylor]: Taking taylor expansion of x in x 5.941 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify 1 into 1 5.942 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.942 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 5.942 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (pow x 2))) in x 5.942 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 5.942 * [taylor]: Taking taylor expansion of 1.0 in x 5.942 * [backup-simplify]: Simplify 1.0 into 1.0 5.942 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.942 * [taylor]: Taking taylor expansion of x in x 5.942 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify 1 into 1 5.942 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.942 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 5.943 * [backup-simplify]: Simplify 1.0 into 1.0 5.943 * [backup-simplify]: Simplify (+ 0 0) into 0 5.943 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0 5.943 * [backup-simplify]: Simplify 0 into 0 5.943 * [backup-simplify]: Simplify (* 1 1) into 1 5.944 * [backup-simplify]: Simplify (- 1) into -1 5.944 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.946 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ -1 1.0)) (* 0 (/ 0 1.0)))) into 1.0 5.946 * [backup-simplify]: Simplify 1.0 into 1.0 5.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.946 * [backup-simplify]: Simplify (- 0) into 0 5.947 * [backup-simplify]: Simplify (+ 0 0) into 0 5.948 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* 0 (/ -1 1.0)) (* 1.0 (/ 0 1.0)))) into 0 5.948 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.949 * [backup-simplify]: Simplify (- 0) into 0 5.949 * [backup-simplify]: Simplify (+ 0 0) into 0 5.954 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 1.0 (/ -1 1.0)) (* 0 (/ 0 1.0)))) into 1.0 5.954 * [backup-simplify]: Simplify 1.0 into 1.0 5.954 * [backup-simplify]: Simplify (+ (* 1.0 (pow x 4)) (+ (* 1.0 (pow x 2)) 1.0)) into (+ (* 1.0 (pow x 2)) (+ (* 1.0 (pow x 4)) 1.0)) 5.955 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) into (/ 1 (- 1.0 (/ 1 (pow x 2)))) 5.955 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 5.955 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in x 5.955 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.955 * [taylor]: Taking taylor expansion of 1.0 in x 5.955 * [backup-simplify]: Simplify 1.0 into 1.0 5.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.955 * [taylor]: Taking taylor expansion of x in x 5.955 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify 1 into 1 5.956 * [backup-simplify]: Simplify (* 1 1) into 1 5.956 * [backup-simplify]: Simplify (/ 1 1) into 1 5.956 * [backup-simplify]: Simplify (- 1) into -1 5.957 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.957 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.957 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in x 5.957 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.957 * [taylor]: Taking taylor expansion of 1.0 in x 5.957 * [backup-simplify]: Simplify 1.0 into 1.0 5.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.957 * [taylor]: Taking taylor expansion of x in x 5.957 * [backup-simplify]: Simplify 0 into 0 5.957 * [backup-simplify]: Simplify 1 into 1 5.958 * [backup-simplify]: Simplify (* 1 1) into 1 5.958 * [backup-simplify]: Simplify (/ 1 1) into 1 5.959 * [backup-simplify]: Simplify (- 1) into -1 5.959 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.959 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.960 * [backup-simplify]: Simplify -1 into -1 5.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.961 * [backup-simplify]: Simplify (- 0) into 0 5.962 * [backup-simplify]: Simplify (+ 0 0) into 0 5.963 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 5.963 * [backup-simplify]: Simplify 0 into 0 5.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.965 * [backup-simplify]: Simplify (- 0) into 0 5.965 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.969 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)) (* 0 (/ 0 -1)))) into (- 1.0) 5.969 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.971 * [backup-simplify]: Simplify (- 0) into 0 5.972 * [backup-simplify]: Simplify (+ 0 0) into 0 5.973 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 1.0 -1)) (* (- 1.0) (/ 0 -1)))) into 0 5.973 * [backup-simplify]: Simplify 0 into 0 5.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.975 * [backup-simplify]: Simplify (- 0) into 0 5.976 * [backup-simplify]: Simplify (+ 0 0) into 0 5.979 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)) (* 0 (/ 0 -1)))) into (- 1.0) 5.979 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.980 * [backup-simplify]: Simplify (+ (* (- 1.0) (pow (/ 1 x) 6)) (+ (* (- 1.0) (pow (/ 1 x) 4)) (* -1 (pow (/ 1 x) 2)))) into (- (+ (* 1.0 (/ 1 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 (pow x 4)))))) 5.980 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ 1 (- 1.0 (/ 1 (pow x 2)))) 5.980 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 5.980 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in x 5.980 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.980 * [taylor]: Taking taylor expansion of 1.0 in x 5.980 * [backup-simplify]: Simplify 1.0 into 1.0 5.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.980 * [taylor]: Taking taylor expansion of x in x 5.980 * [backup-simplify]: Simplify 0 into 0 5.980 * [backup-simplify]: Simplify 1 into 1 5.981 * [backup-simplify]: Simplify (* 1 1) into 1 5.981 * [backup-simplify]: Simplify (/ 1 1) into 1 5.981 * [backup-simplify]: Simplify (- 1) into -1 5.981 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.982 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.982 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in x 5.982 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.982 * [taylor]: Taking taylor expansion of 1.0 in x 5.982 * [backup-simplify]: Simplify 1.0 into 1.0 5.982 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.982 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.982 * [taylor]: Taking taylor expansion of x in x 5.982 * [backup-simplify]: Simplify 0 into 0 5.982 * [backup-simplify]: Simplify 1 into 1 5.982 * [backup-simplify]: Simplify (* 1 1) into 1 5.982 * [backup-simplify]: Simplify (/ 1 1) into 1 5.982 * [backup-simplify]: Simplify (- 1) into -1 5.983 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.983 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.983 * [backup-simplify]: Simplify -1 into -1 5.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.984 * [backup-simplify]: Simplify (- 0) into 0 5.984 * [backup-simplify]: Simplify (+ 0 0) into 0 5.985 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.989 * [backup-simplify]: Simplify (- 0) into 0 5.989 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.991 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)) (* 0 (/ 0 -1)))) into (- 1.0) 5.991 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.993 * [backup-simplify]: Simplify (- 0) into 0 5.993 * [backup-simplify]: Simplify (+ 0 0) into 0 5.994 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 1.0 -1)) (* (- 1.0) (/ 0 -1)))) into 0 5.994 * [backup-simplify]: Simplify 0 into 0 5.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.996 * [backup-simplify]: Simplify (- 0) into 0 5.996 * [backup-simplify]: Simplify (+ 0 0) into 0 6.002 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)) (* 0 (/ 0 -1)))) into (- 1.0) 6.002 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.003 * [backup-simplify]: Simplify (+ (* (- 1.0) (pow (/ 1 (- x)) 6)) (+ (* (- 1.0) (pow (/ 1 (- x)) 4)) (* -1 (pow (/ 1 (- x)) 2)))) into (- (+ (* 1.0 (/ 1 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 (pow x 4)))))) 6.003 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 6.004 * [backup-simplify]: Simplify (* (sqrt (/ 1 (- (* 1.0 1.0) (* x x)))) (fabs (- 1.0 x))) into (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x))) 6.004 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x))) in (x) around 0 6.004 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x))) in x 6.004 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (pow x 2)))) in x 6.004 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (pow x 2))) in x 6.004 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 6.004 * [taylor]: Taking taylor expansion of 1.0 in x 6.004 * [backup-simplify]: Simplify 1.0 into 1.0 6.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.004 * [taylor]: Taking taylor expansion of x in x 6.004 * [backup-simplify]: Simplify 0 into 0 6.004 * [backup-simplify]: Simplify 1 into 1 6.005 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.005 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 6.006 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.006 * [backup-simplify]: Simplify (+ 0 0) into 0 6.007 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0 6.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 6.008 * [taylor]: Taking taylor expansion of (fabs (- 1.0 x)) in x 6.008 * [backup-simplify]: Simplify (fabs (- 1.0 x)) into (fabs (- 1.0 x)) 6.008 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x))) in x 6.008 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (pow x 2)))) in x 6.008 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (pow x 2))) in x 6.008 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 6.008 * [taylor]: Taking taylor expansion of 1.0 in x 6.008 * [backup-simplify]: Simplify 1.0 into 1.0 6.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.008 * [taylor]: Taking taylor expansion of x in x 6.008 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify 1 into 1 6.009 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.009 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 6.009 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.010 * [backup-simplify]: Simplify (+ 0 0) into 0 6.011 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0 6.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 6.011 * [taylor]: Taking taylor expansion of (fabs (- 1.0 x)) in x 6.011 * [backup-simplify]: Simplify (fabs (- 1.0 x)) into (fabs (- 1.0 x)) 6.011 * [backup-simplify]: Simplify (* (sqrt 1.0) (fabs (- 1.0 x))) into (* (sqrt 1.0) (fabs (- 1.0 x))) 6.012 * [backup-simplify]: Simplify (* (sqrt 1.0) (fabs (- 1.0 x))) into (* (sqrt 1.0) (fabs (- 1.0 x))) 6.012 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (fabs (- 1.0 x)))) into 0 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify (* 1 1) into 1 6.013 * [backup-simplify]: Simplify (- 1) into -1 6.013 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.015 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ -1 1.0)) (* 0 (/ 0 1.0)))) into 1.0 6.017 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 6.018 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ 0.5 (sqrt 1.0)) (fabs (- 1.0 x))))) into (* 0.5 (/ (fabs (- 1.0 x)) (sqrt 1.0))) 6.018 * [backup-simplify]: Simplify (* 0.5 (/ (fabs (- 1.0 x)) (sqrt 1.0))) into (* 0.5 (/ (fabs (- 1.0 x)) (sqrt 1.0))) 6.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.019 * [backup-simplify]: Simplify (- 0) into 0 6.019 * [backup-simplify]: Simplify (+ 0 0) into 0 6.020 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* 0 (/ -1 1.0)) (* 1.0 (/ 0 1.0)))) into 0 6.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 6.021 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ 0.5 (sqrt 1.0)) 0) (* 0 (fabs (- 1.0 x)))))) into 0 6.021 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.022 * [backup-simplify]: Simplify (- 0) into 0 6.022 * [backup-simplify]: Simplify (+ 0 0) into 0 6.025 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 1.0 (/ -1 1.0)) (* 0 (/ 0 1.0)))) into 1.0 6.029 * [backup-simplify]: Simplify (/ (- 1.0 (pow (/ 0.5 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 1.0 (* 0.25 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 6.034 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ 0.5 (sqrt 1.0)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 1.0 (* 0.25 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (fabs (- 1.0 x))))))) into (- (* 0.5 (/ (fabs (- 1.0 x)) (sqrt 1.0))) (* 0.125 (/ (fabs (- 1.0 x)) (pow (sqrt 1.0) 3)))) 6.035 * [backup-simplify]: Simplify (- (* 0.5 (/ (fabs (- 1.0 x)) (sqrt 1.0))) (* 0.125 (/ (fabs (- 1.0 x)) (pow (sqrt 1.0) 3)))) into (- (* 0.5 (/ (fabs (- 1.0 x)) (sqrt 1.0))) (* 0.125 (/ (fabs (- 1.0 x)) (pow (sqrt 1.0) 3)))) 6.037 * [backup-simplify]: Simplify (+ (* (- (* 0.5 (/ (fabs (- 1.0 x)) (sqrt 1.0))) (* 0.125 (/ (fabs (- 1.0 x)) (pow (sqrt 1.0) 3)))) (pow x 4)) (+ (* (* 0.5 (/ (fabs (- 1.0 x)) (sqrt 1.0))) (pow x 2)) (* (sqrt 1.0) (fabs (- 1.0 x))))) into (- (+ (* 0.5 (/ (* (pow x 4) (fabs (- 1.0 x))) (sqrt 1.0))) (+ (* 0.5 (/ (* (pow x 2) (fabs (- 1.0 x))) (sqrt 1.0))) (* (sqrt 1.0) (fabs (- 1.0 x))))) (* 0.125 (/ (* (pow x 4) (fabs (- 1.0 x))) (pow (sqrt 1.0) 3)))) 6.037 * [backup-simplify]: Simplify (* (sqrt (/ 1 (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x))))) (fabs (- 1.0 (/ 1 x)))) into (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (- 1.0 (/ 1 x)))) 6.037 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (- 1.0 (/ 1 x)))) in (x) around 0 6.037 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (- 1.0 (/ 1 x)))) in x 6.037 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) in x 6.037 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in x 6.037 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 6.037 * [taylor]: Taking taylor expansion of 1.0 in x 6.037 * [backup-simplify]: Simplify 1.0 into 1.0 6.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.037 * [taylor]: Taking taylor expansion of x in x 6.037 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 1 into 1 6.038 * [backup-simplify]: Simplify (* 1 1) into 1 6.038 * [backup-simplify]: Simplify (/ 1 1) into 1 6.038 * [backup-simplify]: Simplify (- 1) into -1 6.038 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.039 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.039 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 6.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.041 * [backup-simplify]: Simplify (- 0) into 0 6.041 * [backup-simplify]: Simplify (+ 0 0) into 0 6.042 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 6.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 6.043 * [taylor]: Taking taylor expansion of (fabs (- 1.0 (/ 1 x))) in x 6.043 * [backup-simplify]: Simplify (fabs (- 1.0 (/ 1 x))) into (fabs (- 1.0 (/ 1 x))) 6.043 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (- 1.0 (/ 1 x)))) in x 6.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) in x 6.043 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in x 6.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 6.043 * [taylor]: Taking taylor expansion of 1.0 in x 6.043 * [backup-simplify]: Simplify 1.0 into 1.0 6.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.043 * [taylor]: Taking taylor expansion of x in x 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.044 * [backup-simplify]: Simplify (* 1 1) into 1 6.044 * [backup-simplify]: Simplify (/ 1 1) into 1 6.044 * [backup-simplify]: Simplify (- 1) into -1 6.045 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.045 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.046 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 6.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.047 * [backup-simplify]: Simplify (- 0) into 0 6.048 * [backup-simplify]: Simplify (+ 0 0) into 0 6.048 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 6.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 6.049 * [taylor]: Taking taylor expansion of (fabs (- 1.0 (/ 1 x))) in x 6.049 * [backup-simplify]: Simplify (fabs (- 1.0 (/ 1 x))) into (fabs (- 1.0 (/ 1 x))) 6.050 * [backup-simplify]: Simplify (* (sqrt -1) (fabs (- 1.0 (/ 1 x)))) into (* (fabs (- 1.0 (/ 1 x))) (sqrt -1)) 6.050 * [backup-simplify]: Simplify (* (fabs (- 1.0 (/ 1 x))) (sqrt -1)) into (* (sqrt -1) (fabs (- 1.0 (/ 1 x)))) 6.051 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (fabs (- 1.0 (/ 1 x))))) into 0 6.051 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.053 * [backup-simplify]: Simplify (- 0) into 0 6.054 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.056 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)) (* 0 (/ 0 -1)))) into (- 1.0) 6.058 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ -0.5 (sqrt -1)) 6.059 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* (/ -0.5 (sqrt -1)) (fabs (- 1.0 (/ 1 x)))))) into (- (* 0.5 (/ (fabs (- 1.0 (/ 1 x))) (sqrt -1)))) 6.060 * [backup-simplify]: Simplify (- (* 0.5 (/ (fabs (- 1.0 (/ 1 x))) (sqrt -1)))) into (- (* 0.5 (/ (fabs (- 1.0 (/ 1 x))) (sqrt -1)))) 6.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.061 * [backup-simplify]: Simplify (- 0) into 0 6.061 * [backup-simplify]: Simplify (+ 0 0) into 0 6.062 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 1.0 -1)) (* (- 1.0) (/ 0 -1)))) into 0 6.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 6.064 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* (/ -0.5 (sqrt -1)) 0) (* 0 (fabs (- 1.0 (/ 1 x))))))) into 0 6.064 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.066 * [backup-simplify]: Simplify (- 0) into 0 6.066 * [backup-simplify]: Simplify (+ 0 0) into 0 6.069 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)) (* 0 (/ 0 -1)))) into (- 1.0) 6.073 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow (/ -0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt -1) 2))) 1.0) (sqrt -1))) 6.079 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* (/ -0.5 (sqrt -1)) 0) (+ (* 0 0) (* (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt -1) 2))) 1.0) (sqrt -1))) (fabs (- 1.0 (/ 1 x)))))))) into (- (+ (* 0.125 (/ (fabs (- 1.0 (/ 1 x))) (pow (sqrt -1) 3))) (* 0.5 (/ (fabs (- 1.0 (/ 1 x))) (sqrt -1))))) 6.080 * [backup-simplify]: Simplify (- (+ (* 0.125 (/ (fabs (- 1.0 (/ 1 x))) (pow (sqrt -1) 3))) (* 0.5 (/ (fabs (- 1.0 (/ 1 x))) (sqrt -1))))) into (- (+ (* 0.125 (/ (fabs (- 1.0 (/ 1 x))) (pow (sqrt -1) 3))) (* 0.5 (/ (fabs (- 1.0 (/ 1 x))) (sqrt -1))))) 6.082 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.125 (/ (fabs (- 1.0 (/ 1 (/ 1 x)))) (pow (sqrt -1) 3))) (* 0.5 (/ (fabs (- 1.0 (/ 1 (/ 1 x)))) (sqrt -1))))) (pow (/ 1 x) 5)) (+ (* (- (* 0.5 (/ (fabs (- 1.0 (/ 1 (/ 1 x)))) (sqrt -1)))) (pow (/ 1 x) 3)) (* (* (sqrt -1) (fabs (- 1.0 (/ 1 (/ 1 x))))) (/ 1 x)))) into (- (/ (* (fabs (- 1.0 x)) (sqrt -1)) x) (+ (* 0.5 (/ (fabs (- 1.0 x)) (* (pow x 5) (sqrt -1)))) (+ (* 0.125 (/ (fabs (- 1.0 x)) (* (pow x 5) (pow (sqrt -1) 3)))) (* 0.5 (/ (fabs (- 1.0 x)) (* (pow x 3) (sqrt -1))))))) 6.085 * [backup-simplify]: Simplify (* (sqrt (/ 1 (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x)))))) (fabs (- 1.0 (/ 1 (- x))))) into (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (+ (/ 1 x) 1.0))) 6.085 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (+ (/ 1 x) 1.0))) in (x) around 0 6.085 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (+ (/ 1 x) 1.0))) in x 6.085 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) in x 6.085 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in x 6.085 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 6.085 * [taylor]: Taking taylor expansion of 1.0 in x 6.085 * [backup-simplify]: Simplify 1.0 into 1.0 6.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.085 * [taylor]: Taking taylor expansion of x in x 6.085 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify 1 into 1 6.086 * [backup-simplify]: Simplify (* 1 1) into 1 6.086 * [backup-simplify]: Simplify (/ 1 1) into 1 6.086 * [backup-simplify]: Simplify (- 1) into -1 6.087 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.087 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.087 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 6.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.089 * [backup-simplify]: Simplify (- 0) into 0 6.089 * [backup-simplify]: Simplify (+ 0 0) into 0 6.090 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 6.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 6.091 * [taylor]: Taking taylor expansion of (fabs (+ (/ 1 x) 1.0)) in x 6.091 * [backup-simplify]: Simplify (fabs (+ (/ 1 x) 1.0)) into (fabs (+ 1.0 (/ 1 x))) 6.091 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (+ (/ 1 x) 1.0))) in x 6.091 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) in x 6.091 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in x 6.091 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 6.091 * [taylor]: Taking taylor expansion of 1.0 in x 6.091 * [backup-simplify]: Simplify 1.0 into 1.0 6.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.091 * [taylor]: Taking taylor expansion of x in x 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [backup-simplify]: Simplify (* 1 1) into 1 6.092 * [backup-simplify]: Simplify (/ 1 1) into 1 6.093 * [backup-simplify]: Simplify (- 1) into -1 6.093 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.093 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.094 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 6.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.095 * [backup-simplify]: Simplify (- 0) into 0 6.095 * [backup-simplify]: Simplify (+ 0 0) into 0 6.096 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 6.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 6.096 * [taylor]: Taking taylor expansion of (fabs (+ (/ 1 x) 1.0)) in x 6.096 * [backup-simplify]: Simplify (fabs (+ (/ 1 x) 1.0)) into (fabs (+ 1.0 (/ 1 x))) 6.097 * [backup-simplify]: Simplify (* (sqrt -1) (fabs (+ 1.0 (/ 1 x)))) into (* (sqrt -1) (fabs (+ (/ 1 x) 1.0))) 6.097 * [backup-simplify]: Simplify (* (sqrt -1) (fabs (+ (/ 1 x) 1.0))) into (* (fabs (+ 1.0 (/ 1 x))) (sqrt -1)) 6.097 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (fabs (+ 1.0 (/ 1 x))))) into 0 6.097 * [backup-simplify]: Simplify 0 into 0 6.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.099 * [backup-simplify]: Simplify (- 0) into 0 6.099 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.101 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)) (* 0 (/ 0 -1)))) into (- 1.0) 6.103 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ -0.5 (sqrt -1)) 6.104 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* (/ -0.5 (sqrt -1)) (fabs (+ 1.0 (/ 1 x)))))) into (- (* 0.5 (/ (fabs (+ (/ 1 x) 1.0)) (sqrt -1)))) 6.105 * [backup-simplify]: Simplify (- (* 0.5 (/ (fabs (+ (/ 1 x) 1.0)) (sqrt -1)))) into (- (* 0.5 (/ (fabs (+ 1.0 (/ 1 x))) (sqrt -1)))) 6.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.106 * [backup-simplify]: Simplify (- 0) into 0 6.106 * [backup-simplify]: Simplify (+ 0 0) into 0 6.107 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 1.0 -1)) (* (- 1.0) (/ 0 -1)))) into 0 6.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 6.109 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* (/ -0.5 (sqrt -1)) 0) (* 0 (fabs (+ 1.0 (/ 1 x))))))) into 0 6.109 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.110 * [backup-simplify]: Simplify (- 0) into 0 6.110 * [backup-simplify]: Simplify (+ 0 0) into 0 6.113 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)) (* 0 (/ 0 -1)))) into (- 1.0) 6.117 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow (/ -0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt -1) 2))) 1.0) (sqrt -1))) 6.127 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* (/ -0.5 (sqrt -1)) 0) (+ (* 0 0) (* (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt -1) 2))) 1.0) (sqrt -1))) (fabs (+ 1.0 (/ 1 x)))))))) into (- (+ (* 0.5 (/ (fabs (+ (/ 1 x) 1.0)) (sqrt -1))) (* 0.125 (/ (fabs (+ (/ 1 x) 1.0)) (pow (sqrt -1) 3))))) 6.129 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ (fabs (+ (/ 1 x) 1.0)) (sqrt -1))) (* 0.125 (/ (fabs (+ (/ 1 x) 1.0)) (pow (sqrt -1) 3))))) into (- (+ (* 0.125 (/ (fabs (+ 1.0 (/ 1 x))) (pow (sqrt -1) 3))) (* 0.5 (/ (fabs (+ 1.0 (/ 1 x))) (sqrt -1))))) 6.133 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.125 (/ (fabs (+ 1.0 (/ 1 (/ 1 (- x))))) (pow (sqrt -1) 3))) (* 0.5 (/ (fabs (+ 1.0 (/ 1 (/ 1 (- x))))) (sqrt -1))))) (pow (/ 1 (- x)) 5)) (+ (* (- (* 0.5 (/ (fabs (+ 1.0 (/ 1 (/ 1 (- x))))) (sqrt -1)))) (pow (/ 1 (- x)) 3)) (* (* (fabs (+ 1.0 (/ 1 (/ 1 (- x))))) (sqrt -1)) (/ 1 (- x))))) into (- (+ (* 0.5 (/ (fabs (- 1.0 x)) (* (pow x 5) (sqrt -1)))) (+ (* 0.125 (/ (fabs (- 1.0 x)) (* (pow x 5) (pow (sqrt -1) 3)))) (* 0.5 (/ (fabs (- 1.0 x)) (* (pow x 3) (sqrt -1)))))) (/ (* (fabs (- 1.0 x)) (sqrt -1)) x)) 6.133 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 6.134 * [backup-simplify]: Simplify (atan (* (sqrt (/ 1 (- (* 1.0 1.0) (* x x)))) (fabs (- 1.0 x)))) into (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) 6.134 * [approximate]: Taking taylor expansion of (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) in (x) around 0 6.134 * [taylor]: Taking taylor expansion of (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) in x 6.134 * [backup-simplify]: Simplify (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) into (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) 6.134 * [taylor]: Taking taylor expansion of (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) in x 6.134 * [backup-simplify]: Simplify (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) into (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) 6.135 * [backup-simplify]: Simplify (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) into (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) 6.135 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) into (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) 6.136 * [backup-simplify]: Simplify (atan (* (sqrt (/ 1 (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x))))) (fabs (- 1.0 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (- 1.0 (/ 1 x))))) 6.136 * [approximate]: Taking taylor expansion of (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (- 1.0 (/ 1 x))))) in (x) around 0 6.136 * [taylor]: Taking taylor expansion of (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (- 1.0 (/ 1 x))))) in x 6.137 * [backup-simplify]: Simplify (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (- 1.0 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (- 1.0 (/ 1 x))))) 6.137 * [taylor]: Taking taylor expansion of (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (- 1.0 (/ 1 x))))) in x 6.137 * [backup-simplify]: Simplify (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (- 1.0 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (- 1.0 (/ 1 x))))) 6.138 * [backup-simplify]: Simplify (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (- 1.0 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (- 1.0 (/ 1 x))))) 6.138 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow (/ 1 x) 2))))) (fabs (- 1.0 (/ 1 (/ 1 x)))))) into (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) 6.139 * [backup-simplify]: Simplify (atan (* (sqrt (/ 1 (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x)))))) (fabs (- 1.0 (/ 1 (- x)))))) into (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (+ (/ 1 x) 1.0)))) 6.139 * [approximate]: Taking taylor expansion of (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (+ (/ 1 x) 1.0)))) in (x) around 0 6.139 * [taylor]: Taking taylor expansion of (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (+ (/ 1 x) 1.0)))) in x 6.140 * [backup-simplify]: Simplify (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (+ (/ 1 x) 1.0)))) into (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (+ 1.0 (/ 1 x))))) 6.140 * [taylor]: Taking taylor expansion of (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (+ (/ 1 x) 1.0)))) in x 6.140 * [backup-simplify]: Simplify (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (+ (/ 1 x) 1.0)))) into (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (+ 1.0 (/ 1 x))))) 6.141 * [backup-simplify]: Simplify (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (+ 1.0 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) (fabs (+ (/ 1 x) 1.0)))) 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify (atan (* (sqrt (/ 1 (- 1.0 (/ 1 (pow (/ 1 (- x)) 2))))) (fabs (+ (/ 1 (/ 1 (- x))) 1.0)))) into (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) 6.142 * * * [progress]: simplifying candidates 6.146 * [simplify]: Simplifying: (log (sqrt (/ 1 (- (* 1.0 1.0) (* x x))))) (exp (sqrt (/ 1 (- (* 1.0 1.0) (* x x))))) (* (cbrt (sqrt (/ 1 (- (* 1.0 1.0) (* x x))))) (cbrt (sqrt (/ 1 (- (* 1.0 1.0) (* x x)))))) (cbrt (sqrt (/ 1 (- (* 1.0 1.0) (* x x))))) (* (* (sqrt (/ 1 (- (* 1.0 1.0) (* x x)))) (sqrt (/ 1 (- (* 1.0 1.0) (* x x))))) (sqrt (/ 1 (- (* 1.0 1.0) (* x x))))) (sqrt (* (cbrt (/ 1 (- (* 1.0 1.0) (* x x)))) (cbrt (/ 1 (- (* 1.0 1.0) (* x x)))))) (sqrt (cbrt (/ 1 (- (* 1.0 1.0) (* x x))))) (sqrt (sqrt (/ 1 (- (* 1.0 1.0) (* x x))))) (sqrt (sqrt (/ 1 (- (* 1.0 1.0) (* x x))))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))))) (sqrt (/ (cbrt 1) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (/ (cbrt 1) (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)) (sqrt (/ (cbrt 1) (- (* 1.0 1.0) (* x x)))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (+ 1.0 x))) (sqrt (/ (cbrt 1) (- 1.0 x))) (sqrt (/ (sqrt 1) (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))))) (sqrt (/ (sqrt 1) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (/ (sqrt 1) (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (/ (sqrt 1) (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (/ (sqrt 1) 1)) (sqrt (/ 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(atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) 6.153 * * [simplify]: Extracting # 0 : cost 0 6.153 * * [simplify]: Extracting # 1 : cost 0 6.154 * * [simplify]: Extracting # 2 : cost 0 6.154 * * [simplify]: Extracting # 3 : cost 0 6.155 * * [simplify]: Extracting # 4 : cost 0 6.155 * * [simplify]: Extracting # 5 : cost 0 6.156 * * [simplify]: Extracting # 6 : cost 0 6.156 * * [simplify]: Extracting # 7 : cost 0 6.157 * * [simplify]: Extracting # 8 : cost 0 6.157 * * [simplify]: Extracting # 9 : cost 0 6.158 * * [simplify]: Extracting # 10 : cost 0 6.158 * * [simplify]: Extracting # 11 : cost 0 6.159 * * [simplify]: Extracting # 12 : cost 0 6.160 * * [simplify]: iteration 0 : 237 enodes (cost 2366 ) 6.254 * * [simplify]: Extracting # 0 : cost 0 6.255 * * [simplify]: Extracting # 1 : cost 0 6.256 * * [simplify]: Extracting # 2 : cost 0 6.257 * * [simplify]: Extracting # 3 : cost 0 6.258 * * [simplify]: Extracting # 4 : cost 0 6.260 * * [simplify]: iteration 1 : 510 enodes (cost 2182 ) 6.500 * * [simplify]: Extracting # 0 : cost 0 6.501 * * [simplify]: Extracting # 1 : cost 0 6.503 * * [simplify]: Extracting # 2 : cost 0 6.509 * * [simplify]: Extracting # 3 : cost 0 6.510 * * [simplify]: Extracting # 4 : cost 0 6.512 * * [simplify]: iteration 2 : 1367 enodes (cost 2009 ) 7.209 * * [simplify]: Extracting # 0 : cost 0 7.220 * * [simplify]: Extracting # 1 : cost 0 7.232 * * [simplify]: Extracting # 2 : cost 0 7.244 * * [simplify]: Extracting # 3 : cost 0 7.256 * * [simplify]: Extracting # 4 : cost 0 7.269 * * [simplify]: iteration done: 5000 enodes (cost 1958 ) 7.271 * [simplify]: Simplified to: (log (sqrt (/ 1 (- (* 1.0 1.0) (* x x))))) (exp (sqrt (/ 1 (- (* 1.0 1.0) (* x x))))) (* (cbrt (sqrt (/ 1 (- (* 1.0 1.0) (* x x))))) (cbrt (sqrt (/ 1 (- (* 1.0 1.0) (* x x)))))) (cbrt (sqrt (/ 1 (- (* 1.0 1.0) (* x x))))) (pow (sqrt (/ 1 (* (+ 1.0 x) (- 1.0 x)))) 3) (fabs (cbrt (/ 1 (- (* 1.0 1.0) (* x x))))) 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x)))) (fabs (- 1.0 x)))) 3) (sqrt (atan (* (sqrt (/ 1 (- (* 1.0 1.0) (* x x)))) (fabs (- 1.0 x))))) (sqrt (atan (* (sqrt (/ 1 (- (* 1.0 1.0) (* x x)))) (fabs (- 1.0 x))))) (+ (sqrt 1.0) (+ (* 0.5 (/ (pow x 2) (sqrt 1.0))) (* (/ (pow x 4) (sqrt 1.0)) (- 0.5 (/ 0.125 1.0))))) (- (- (/ (sqrt -1) x) (/ 0.5 (* (pow x 3) (sqrt -1)))) (* (/ 1 (pow x 5)) (+ (/ 0.125 (- (sqrt -1))) (/ 0.5 (sqrt -1))))) (+ (/ 0.5 (* (pow x 3) (sqrt -1))) (- (* (/ 1 (pow x 5)) (+ (/ 0.125 (- (sqrt -1))) (/ 0.5 (sqrt -1)))) (/ (sqrt -1) x))) (+ (* 1.0 (+ (* x x) (pow x 4))) 1.0) (- (- (/ 1.0 (pow x 6))) (+ (/ 1.0 (pow x 4)) (/ 1 (pow x 2)))) (- (- (/ 1.0 (pow x 6))) (+ (/ 1.0 (pow x 4)) (/ 1 (pow x 2)))) (+ (+ (* 0.5 (/ (* (pow x 2) (fabs (- 1.0 x))) (sqrt 1.0))) (* (sqrt 1.0) (fabs (- 1.0 x)))) (* (/ (* (pow x 4) (fabs (- 1.0 x))) (sqrt 1.0)) (- 0.5 (/ 0.125 1.0)))) (- (- (/ (* (fabs (- 1.0 x)) (sqrt -1)) x) (* 0.5 (/ (fabs (- 1.0 x)) (* (pow x 3) (sqrt -1))))) (* (/ (fabs (- 1.0 x)) (pow x 5)) (+ (/ 0.125 (- (sqrt -1))) (/ 0.5 (sqrt -1))))) (+ (* (/ (fabs (- 1.0 x)) (pow x 5)) (+ (/ 0.125 (- (sqrt -1))) (/ 0.5 (sqrt -1)))) (- (* 0.5 (/ (fabs (- 1.0 x)) (* (pow x 3) (sqrt -1)))) (/ (* (fabs (- 1.0 x)) (sqrt -1)) x))) (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (fabs (- 1.0 x)))) 7.273 * * * [progress]: adding candidates to table 7.842 * [progress]: [Phase 3 of 3] Extracting. 7.843 * * [regime]: Finding splitpoints for: (# #) 7.844 * * * [regime-changes]: Trying 1 branch expressions: (x) 7.845 * * * * [regimes]: Trying to branch on x from (# #) 7.871 * * * [regime]: Found split indices: #