88.817 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.102 * * * [progress]: [2/2] Setting up program. 0.109 * [progress]: [Phase 2 of 3] Improving. 0.109 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1.0)))) 0.109 * * [simplify]: iteration 0: 7 enodes 0.113 * * [simplify]: iteration 1: 11 enodes 0.118 * * [simplify]: iteration 2: 12 enodes 0.124 * * [simplify]: iteration complete: 12 enodes 0.125 * * [simplify]: Extracting #0: cost 1 inf + 0 0.125 * * [simplify]: Extracting #1: cost 2 inf + 0 0.125 * * [simplify]: Extracting #2: cost 4 inf + 0 0.125 * * [simplify]: Extracting #3: cost 4 inf + 1 0.125 * * [simplify]: Extracting #4: cost 7 inf + 1 0.125 * * [simplify]: Extracting #5: cost 5 inf + 43 0.125 * * [simplify]: Extracting #6: cost 0 inf + 682 0.125 * [simplify]: Simplified to: (log (+ (sqrt (- (* x x) 1.0)) x)) 0.127 * * [progress]: iteration 1 / 4 0.127 * * * [progress]: picking best candidate 0.134 * * * * [pick]: Picked # 0.134 * * * [progress]: localizing error 0.187 * * * [progress]: generating rewritten candidates 0.187 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.215 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.251 * * * [progress]: generating series expansions 0.251 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.251 * [backup-simplify]: Simplify (sqrt (- (* x x) 1.0)) into (sqrt (- (pow x 2) 1.0)) 0.251 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.251 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.251 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [backup-simplify]: Simplify 1.0 into 1.0 0.252 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.253 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.254 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.255 * [backup-simplify]: Simplify (- 0) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.256 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.256 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of 1.0 in x 0.256 * [backup-simplify]: Simplify 1.0 into 1.0 0.256 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.257 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.258 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.262 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 1 0) into 1 0.267 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.268 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- 1.0))) into (/ 1/2 (sqrt (- 1.0))) 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- 1.0))))))) (* 2 (sqrt (- 1.0)))) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (- 1.0))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0)))) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.283 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (- 1.0)) 3)) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.288 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (- 1.0)) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt (- 1.0))) (pow x 2)) (sqrt (- 1.0)))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) 0.289 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.289 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.289 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [backup-simplify]: Simplify 1.0 into 1.0 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.291 * [backup-simplify]: Simplify (sqrt 1) into 1 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.293 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.293 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (* 1 1) into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [taylor]: Taking taylor expansion of 1.0 in x 0.294 * [backup-simplify]: Simplify 1.0 into 1.0 0.294 * [backup-simplify]: Simplify (+ 1 0) into 1 0.295 * [backup-simplify]: Simplify (sqrt 1) into 1 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.300 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.303 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.303 * [backup-simplify]: Simplify -0.5 into -0.5 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.323 * [backup-simplify]: Simplify -0.125 into -0.125 0.324 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 x) 3)) (+ (* -0.5 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) 0.324 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.324 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.324 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [backup-simplify]: Simplify 1.0 into 1.0 0.326 * [backup-simplify]: Simplify (+ 1 0) into 1 0.326 * [backup-simplify]: Simplify (sqrt 1) into 1 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.329 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (* 1 1) into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [backup-simplify]: Simplify 1.0 into 1.0 0.330 * [backup-simplify]: Simplify (+ 1 0) into 1 0.330 * [backup-simplify]: Simplify (sqrt 1) into 1 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.337 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.341 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.341 * [backup-simplify]: Simplify -0.5 into -0.5 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.352 * [backup-simplify]: Simplify -0.125 into -0.125 0.352 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* -0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) 0.353 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.353 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1.0))) into (+ (sqrt (- (pow x 2) 1.0)) x) 0.353 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.353 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.353 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.353 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [backup-simplify]: Simplify 1.0 into 1.0 0.354 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.354 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.355 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.357 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.357 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [backup-simplify]: Simplify 1.0 into 1.0 0.358 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.359 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.360 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (+ (sqrt (- 1.0)) 0) into (sqrt (- 1.0)) 0.364 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.364 * [backup-simplify]: Simplify (+ 0 1) into 1 0.364 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (* 1 1) into 1 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 1 0) into 1 0.369 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.371 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt (- 1.0))) 0) into (* 1/2 (/ 1 (sqrt (- 1.0)))) 0.373 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.376 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt (- 1.0))) (pow x 2)) (+ (* 1 x) (sqrt (- 1.0)))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) 0.377 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0))) into (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.377 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.377 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.377 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (* 1 1) into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [backup-simplify]: Simplify 1.0 into 1.0 0.379 * [backup-simplify]: Simplify (+ 1 0) into 1 0.379 * [backup-simplify]: Simplify (sqrt 1) into 1 0.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.383 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [backup-simplify]: Simplify 1.0 into 1.0 0.384 * [backup-simplify]: Simplify (+ 1 0) into 1 0.385 * [backup-simplify]: Simplify (sqrt 1) into 1 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [backup-simplify]: Simplify (+ 1 1) into 2 0.389 * [backup-simplify]: Simplify 2 into 2 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.393 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.397 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.399 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (- 0) into 0 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (- 0) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.415 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.416 * [backup-simplify]: Simplify (+ (* (- 0.125) (pow (/ 1 x) 3)) (+ (* (- 0.5) (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) 0.416 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0))) into (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.417 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.417 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.417 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.418 * [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 0) into 1 0.418 * [backup-simplify]: Simplify (sqrt 1) into 1 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.421 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [backup-simplify]: Simplify 1.0 into 1.0 0.423 * [backup-simplify]: Simplify (+ 1 0) into 1 0.423 * [backup-simplify]: Simplify (sqrt 1) into 1 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [backup-simplify]: Simplify (- 1) into -1 0.427 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (- 0) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.433 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.438 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.440 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.440 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (- 0) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.460 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.125)) (* 2 (* -0.5 0)))) (* 2 1)) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (- 0) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (- 0) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (- 0) into 0 0.479 * [backup-simplify]: Simplify (+ -0.0625 0) into (- 0.0625) 0.485 * [backup-simplify]: Simplify (- 0.0625) into (- 0.0625) 0.487 * [backup-simplify]: Simplify (+ (* (- 0.0625) (pow (/ 1 (- x)) 5)) (+ (* (- 0.125) (pow (/ 1 (- x)) 3)) (* (- 0.5) (/ 1 (- x))))) into (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) 0.493 * * * [progress]: simplifying candidates 0.495 * [simplify]: Simplifying: (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (* (exp x) (exp (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))) (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) 0.496 * * [simplify]: iteration 0: 95 enodes 0.536 * * [simplify]: iteration 1: 235 enodes 0.709 * * [simplify]: iteration 2: 678 enodes 1.436 * * [simplify]: iteration 3: 2141 enodes 2.979 * * [simplify]: iteration complete: 5001 enodes 2.979 * * [simplify]: Extracting #0: cost 38 inf + 0 2.980 * * [simplify]: Extracting #1: cost 224 inf + 2 2.987 * * [simplify]: Extracting #2: cost 725 inf + 2795 3.009 * * [simplify]: Extracting #3: cost 942 inf + 50345 3.080 * * [simplify]: Extracting #4: cost 230 inf + 223099 3.198 * * [simplify]: Extracting #5: cost 35 inf + 295881 3.304 * * [simplify]: Extracting #6: cost 7 inf + 302317 3.403 * * [simplify]: Extracting #7: cost 0 inf + 304088 3.507 * [simplify]: Simplified to: (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (sqrt (- (* x x) 1.0)) (- (* x x) 1.0)) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) 1 (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (* (* (* x x) x) (* (* x x) x)) (* 1.0 (* 1.0 1.0)))) (sqrt (fma (* x x) (+ 1.0 (* x x)) (* 1.0 1.0))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (fma x x 1.0)) 1/2 (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (+ (sqrt (- (* x x) 1.0)) x)) (log1p (+ (sqrt (- (* x x) 1.0)) x)) (exp (+ (sqrt (- (* x x) 1.0)) x)) (log (+ (sqrt (- (* x x) 1.0)) x)) (exp (+ (sqrt (- (* x x) 1.0)) x)) (* (cbrt (+ (sqrt (- (* x x) 1.0)) x)) (cbrt (+ (sqrt (- (* x x) 1.0)) x))) (cbrt (+ (sqrt (- (* x x) 1.0)) x)) (* (+ (sqrt (- (* x x) 1.0)) x) (* (+ (sqrt (- (* x x) 1.0)) x) (+ (sqrt (- (* x x) 1.0)) x))) (sqrt (+ (sqrt (- (* x x) 1.0)) x)) (sqrt (+ (sqrt (- (* x x) 1.0)) x)) (fma (- (* x x) 1.0) (sqrt (- (* x x) 1.0)) (* (* x x) x)) (fma (sqrt (- (* x x) 1.0)) (- (sqrt (- (* x x) 1.0)) x) (* x x)) (+ 0 1.0) (- x (sqrt (- (* x x) 1.0))) (+ (sqrt (- (* x x) 1.0)) x) (+ (fma (* (/ (* x x) (sqrt (- 1.0))) (/ (* x x) (- 1.0))) -1/8 (/ 1/2 (/ (sqrt (- 1.0)) (* x x)))) (sqrt (- 1.0))) (- (- x (/ 0.5 x)) (/ 0.125 (* (* x x) x))) (- (/ 0.125 (* (* x x) x)) (- x (/ 0.5 x))) (fma (/ x (/ (sqrt (- 1.0)) x)) 1/2 (+ x (sqrt (- 1.0)))) (- (- (/ x 1/2) (/ 0.125 (* (* x x) x))) (/ 0.5 x)) (+ (+ (/ 0.125 (* (* x x) x)) (/ 0.5 x)) (/ 0.0625 (pow x 5))) 3.510 * * * [progress]: adding candidates to table 3.828 * * [progress]: iteration 2 / 4 3.828 * * * [progress]: picking best candidate 3.838 * * * * [pick]: Picked # 3.838 * * * [progress]: localizing error 3.875 * * * [progress]: generating rewritten candidates 3.876 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 3.980 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 3.991 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 4.016 * * * [progress]: generating series expansions 4.016 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 4.017 * [backup-simplify]: Simplify (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) into (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) 4.018 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 4.018 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 4.018 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 4.018 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 4.018 * [taylor]: Taking taylor expansion of x in x 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.018 * [taylor]: Taking taylor expansion of 1.0 in x 4.018 * [backup-simplify]: Simplify 1.0 into 1.0 4.018 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.019 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 4.019 * [taylor]: Taking taylor expansion of x in x 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 1 into 1 4.019 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.019 * [taylor]: Taking taylor expansion of 1.0 in x 4.019 * [backup-simplify]: Simplify 1.0 into 1.0 4.019 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.021 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 4.022 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 4.023 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 4.025 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 4.027 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 4.028 * [backup-simplify]: Simplify (- 0) into 0 4.028 * [backup-simplify]: Simplify (+ 1 0) into 1 4.029 * [backup-simplify]: Simplify (+ 1 0) into 1 4.032 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 4.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 4.034 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 4.034 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 4.034 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 4.034 * [taylor]: Taking taylor expansion of x in x 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 1 into 1 4.034 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.034 * [taylor]: Taking taylor expansion of 1.0 in x 4.034 * [backup-simplify]: Simplify 1.0 into 1.0 4.034 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.035 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 4.035 * [taylor]: Taking taylor expansion of x in x 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 1 into 1 4.035 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.035 * [taylor]: Taking taylor expansion of 1.0 in x 4.035 * [backup-simplify]: Simplify 1.0 into 1.0 4.036 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.038 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 4.039 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 4.040 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 4.042 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 4.044 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 4.045 * [backup-simplify]: Simplify (- 0) into 0 4.045 * [backup-simplify]: Simplify (+ 1 0) into 1 4.046 * [backup-simplify]: Simplify (+ 1 0) into 1 4.049 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 4.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 4.056 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 4.057 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.058 * [backup-simplify]: Simplify (- 0) into 0 4.058 * [backup-simplify]: Simplify (+ 0 0) into 0 4.059 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.060 * [backup-simplify]: Simplify (+ 0 0) into 0 4.061 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 4.066 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 4.070 * [backup-simplify]: Simplify (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 4.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.072 * [backup-simplify]: Simplify (- 0) into 0 4.072 * [backup-simplify]: Simplify (+ 0 0) into 0 4.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.073 * [backup-simplify]: Simplify (+ 0 0) into 0 4.075 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- (sqrt 1.0)))))) into 0 4.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))))))) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 4.077 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.079 * [backup-simplify]: Simplify (- 0) into 0 4.088 * [backup-simplify]: Simplify (+ 0 0) into 0 4.089 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.090 * [backup-simplify]: Simplify (+ 0 0) into 0 4.092 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- (sqrt 1.0))))))) into 0 4.107 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) 4.112 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) into (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) 4.123 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) (pow x 2)) (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) 4.125 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 x) (sqrt 1.0))) (sqrt (- (/ 1 x) (sqrt 1.0)))) into (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) 4.125 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 4.125 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 4.125 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 4.125 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 4.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.125 * [taylor]: Taking taylor expansion of x in x 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.125 * [backup-simplify]: Simplify (/ 1 1) into 1 4.125 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.126 * [taylor]: Taking taylor expansion of 1.0 in x 4.126 * [backup-simplify]: Simplify 1.0 into 1.0 4.126 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.127 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.128 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.128 * [taylor]: Taking taylor expansion of 1.0 in x 4.128 * [backup-simplify]: Simplify 1.0 into 1.0 4.129 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.130 * [taylor]: Taking taylor expansion of x in x 4.130 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify 1 into 1 4.131 * [backup-simplify]: Simplify (/ 1 1) into 1 4.131 * [backup-simplify]: Simplify (+ 1 0) into 1 4.131 * [backup-simplify]: Simplify (+ 0 1) into 1 4.132 * [backup-simplify]: Simplify (* 1 1) into 1 4.132 * [backup-simplify]: Simplify (sqrt 1) into 1 4.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.134 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.136 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 4.137 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 4.140 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 4.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.141 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 4.141 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 4.141 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 4.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.141 * [taylor]: Taking taylor expansion of x in x 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 1 into 1 4.141 * [backup-simplify]: Simplify (/ 1 1) into 1 4.141 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.141 * [taylor]: Taking taylor expansion of 1.0 in x 4.141 * [backup-simplify]: Simplify 1.0 into 1.0 4.142 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.143 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.143 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.143 * [taylor]: Taking taylor expansion of 1.0 in x 4.143 * [backup-simplify]: Simplify 1.0 into 1.0 4.143 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.144 * [taylor]: Taking taylor expansion of x in x 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [backup-simplify]: Simplify (/ 1 1) into 1 4.145 * [backup-simplify]: Simplify (+ 1 0) into 1 4.145 * [backup-simplify]: Simplify (+ 0 1) into 1 4.145 * [backup-simplify]: Simplify (* 1 1) into 1 4.146 * [backup-simplify]: Simplify (sqrt 1) into 1 4.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.148 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.150 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 4.151 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 4.154 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 4.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.155 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.156 * [backup-simplify]: Simplify (+ 0 0) into 0 4.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (- 0) into 0 4.158 * [backup-simplify]: Simplify (+ 0 0) into 0 4.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 4.168 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 4.170 * [backup-simplify]: Simplify (* -1/2 (pow (sqrt 1.0) 2)) into (* -1/2 (pow (sqrt 1.0) 2)) 4.171 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.173 * [backup-simplify]: Simplify (+ 0 0) into 0 4.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.175 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.175 * [backup-simplify]: Simplify (- 0) into 0 4.176 * [backup-simplify]: Simplify (+ 0 0) into 0 4.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0 4.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 4.179 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.182 * [backup-simplify]: Simplify (+ 0 0) into 0 4.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.185 * [backup-simplify]: Simplify (- 0) into 0 4.185 * [backup-simplify]: Simplify (+ 0 0) into 0 4.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0 4.194 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (pow (sqrt 1.0) 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/8 (pow (sqrt 1.0) 4)) 4.196 * [backup-simplify]: Simplify (* -1/8 (pow (sqrt 1.0) 4)) into (* -1/8 (pow (sqrt 1.0) 4)) 4.200 * [backup-simplify]: Simplify (+ (* (* -1/8 (pow (sqrt 1.0) 4)) (pow (/ 1 x) 3)) (+ (* (* -1/2 (pow (sqrt 1.0) 2)) (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 4.201 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) (sqrt (- (/ 1 (- x)) (sqrt 1.0)))) into (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) 4.202 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 4.202 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 4.202 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 4.202 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 4.202 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.202 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.202 * [taylor]: Taking taylor expansion of 1.0 in x 4.202 * [backup-simplify]: Simplify 1.0 into 1.0 4.202 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.203 * [taylor]: Taking taylor expansion of x in x 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 1 into 1 4.204 * [backup-simplify]: Simplify (/ 1 1) into 1 4.204 * [backup-simplify]: Simplify (+ 0 1) into 1 4.205 * [backup-simplify]: Simplify (- 1) into -1 4.205 * [backup-simplify]: Simplify (sqrt 0) into 0 4.206 * [backup-simplify]: Simplify (- 1) into -1 4.208 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.208 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 4.208 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 4.208 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.208 * [taylor]: Taking taylor expansion of 1.0 in x 4.208 * [backup-simplify]: Simplify 1.0 into 1.0 4.208 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.209 * [taylor]: Taking taylor expansion of x in x 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.210 * [backup-simplify]: Simplify (/ 1 1) into 1 4.210 * [backup-simplify]: Simplify (- 1) into -1 4.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.211 * [backup-simplify]: Simplify (sqrt 0) into 0 4.212 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.212 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 4.212 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 4.212 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 4.212 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.212 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.212 * [taylor]: Taking taylor expansion of 1.0 in x 4.212 * [backup-simplify]: Simplify 1.0 into 1.0 4.213 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.214 * [taylor]: Taking taylor expansion of x in x 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * [backup-simplify]: Simplify (/ 1 1) into 1 4.214 * [backup-simplify]: Simplify (+ 0 1) into 1 4.215 * [backup-simplify]: Simplify (- 1) into -1 4.215 * [backup-simplify]: Simplify (sqrt 0) into 0 4.216 * [backup-simplify]: Simplify (- 1) into -1 4.217 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.217 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 4.217 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 4.217 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.217 * [taylor]: Taking taylor expansion of 1.0 in x 4.217 * [backup-simplify]: Simplify 1.0 into 1.0 4.217 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.218 * [taylor]: Taking taylor expansion of x in x 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (/ 1 1) into 1 4.219 * [backup-simplify]: Simplify (- 1) into -1 4.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.220 * [backup-simplify]: Simplify (sqrt 0) into 0 4.221 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.222 * [backup-simplify]: Simplify (* 0 0) into 0 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 4.222 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.224 * [backup-simplify]: Simplify (- 0) into 0 4.224 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.228 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 4.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.230 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.231 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 4.236 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 4.244 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 4.244 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.245 * [backup-simplify]: Simplify (- 0) into 0 4.245 * [backup-simplify]: Simplify (+ 0 0) into 0 4.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.250 * [backup-simplify]: Simplify (+ 0 0) into 0 4.251 * [backup-simplify]: Simplify (- 0) into 0 4.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.275 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.278 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.279 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.281 * [backup-simplify]: Simplify (- 0) into 0 4.281 * [backup-simplify]: Simplify (+ 0 0) into 0 4.297 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (- (sqrt 1.0) +nan.0)) 2) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 4.299 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.300 * [backup-simplify]: Simplify (+ 0 0) into 0 4.301 * [backup-simplify]: Simplify (- 0) into 0 4.317 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 2) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 4.352 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 4.360 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 4.373 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) 4.374 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 4.375 * [backup-simplify]: Simplify (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) into (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) 4.375 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 4.375 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 4.375 * [taylor]: Taking taylor expansion of x in x 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify 1 into 1 4.375 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 4.375 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 4.375 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 4.375 * [taylor]: Taking taylor expansion of x in x 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify 1 into 1 4.375 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.375 * [taylor]: Taking taylor expansion of 1.0 in x 4.375 * [backup-simplify]: Simplify 1.0 into 1.0 4.376 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.377 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 4.377 * [taylor]: Taking taylor expansion of x in x 4.377 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify 1 into 1 4.377 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.377 * [taylor]: Taking taylor expansion of 1.0 in x 4.377 * [backup-simplify]: Simplify 1.0 into 1.0 4.377 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.379 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 4.380 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 4.381 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 4.387 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 4.390 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 4.391 * [backup-simplify]: Simplify (- 0) into 0 4.391 * [backup-simplify]: Simplify (+ 1 0) into 1 4.391 * [backup-simplify]: Simplify (+ 1 0) into 1 4.394 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 4.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 4.395 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 4.396 * [taylor]: Taking taylor expansion of x in x 4.396 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify 1 into 1 4.396 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 4.396 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 4.396 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 4.396 * [taylor]: Taking taylor expansion of x in x 4.396 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify 1 into 1 4.396 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.396 * [taylor]: Taking taylor expansion of 1.0 in x 4.396 * [backup-simplify]: Simplify 1.0 into 1.0 4.396 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.397 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 4.397 * [taylor]: Taking taylor expansion of x in x 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify 1 into 1 4.397 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.397 * [taylor]: Taking taylor expansion of 1.0 in x 4.397 * [backup-simplify]: Simplify 1.0 into 1.0 4.398 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.399 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 4.400 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 4.401 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 4.403 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 4.404 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 4.404 * [backup-simplify]: Simplify (- 0) into 0 4.405 * [backup-simplify]: Simplify (+ 1 0) into 1 4.405 * [backup-simplify]: Simplify (+ 1 0) into 1 4.407 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 4.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 4.412 * [backup-simplify]: Simplify (+ 0 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 4.414 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 4.414 * [backup-simplify]: Simplify (+ 1 0) into 1 4.415 * [backup-simplify]: Simplify 1 into 1 4.416 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.416 * [backup-simplify]: Simplify (- 0) into 0 4.416 * [backup-simplify]: Simplify (+ 0 0) into 0 4.417 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.417 * [backup-simplify]: Simplify (+ 0 0) into 0 4.418 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 4.421 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 4.424 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) 4.429 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 4.435 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) (pow x 2)) (+ (* 1 x) (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) 4.437 * [backup-simplify]: Simplify (+ (/ 1 x) (* (sqrt (+ (/ 1 x) (sqrt 1.0))) (sqrt (- (/ 1 x) (sqrt 1.0))))) into (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 4.437 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 4.437 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 4.437 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 4.437 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 4.437 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 4.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.437 * [taylor]: Taking taylor expansion of x in x 4.437 * [backup-simplify]: Simplify 0 into 0 4.437 * [backup-simplify]: Simplify 1 into 1 4.437 * [backup-simplify]: Simplify (/ 1 1) into 1 4.437 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.437 * [taylor]: Taking taylor expansion of 1.0 in x 4.438 * [backup-simplify]: Simplify 1.0 into 1.0 4.438 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.439 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.439 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.439 * [taylor]: Taking taylor expansion of 1.0 in x 4.439 * [backup-simplify]: Simplify 1.0 into 1.0 4.439 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.440 * [taylor]: Taking taylor expansion of x in x 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify 1 into 1 4.440 * [backup-simplify]: Simplify (/ 1 1) into 1 4.441 * [backup-simplify]: Simplify (+ 1 0) into 1 4.441 * [backup-simplify]: Simplify (+ 0 1) into 1 4.442 * [backup-simplify]: Simplify (* 1 1) into 1 4.442 * [backup-simplify]: Simplify (sqrt 1) into 1 4.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.444 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.445 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 4.447 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 4.450 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 4.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.451 * [taylor]: Taking taylor expansion of x in x 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify 1 into 1 4.451 * [backup-simplify]: Simplify (/ 1 1) into 1 4.452 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 4.452 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 4.452 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 4.452 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 4.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.452 * [taylor]: Taking taylor expansion of x in x 4.452 * [backup-simplify]: Simplify 0 into 0 4.452 * [backup-simplify]: Simplify 1 into 1 4.452 * [backup-simplify]: Simplify (/ 1 1) into 1 4.452 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.452 * [taylor]: Taking taylor expansion of 1.0 in x 4.452 * [backup-simplify]: Simplify 1.0 into 1.0 4.453 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.453 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.453 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.453 * [taylor]: Taking taylor expansion of 1.0 in x 4.453 * [backup-simplify]: Simplify 1.0 into 1.0 4.454 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.454 * [taylor]: Taking taylor expansion of x in x 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 1 into 1 4.455 * [backup-simplify]: Simplify (/ 1 1) into 1 4.455 * [backup-simplify]: Simplify (+ 1 0) into 1 4.456 * [backup-simplify]: Simplify (+ 0 1) into 1 4.456 * [backup-simplify]: Simplify (* 1 1) into 1 4.456 * [backup-simplify]: Simplify (sqrt 1) into 1 4.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.458 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.460 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 4.461 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 4.464 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 4.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.465 * [taylor]: Taking taylor expansion of x in x 4.465 * [backup-simplify]: Simplify 0 into 0 4.465 * [backup-simplify]: Simplify 1 into 1 4.465 * [backup-simplify]: Simplify (/ 1 1) into 1 4.466 * [backup-simplify]: Simplify (+ 1 1) into 2 4.466 * [backup-simplify]: Simplify 2 into 2 4.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.467 * [backup-simplify]: Simplify (+ 0 0) into 0 4.467 * [backup-simplify]: Simplify 0 into 0 4.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.468 * [backup-simplify]: Simplify (+ 0 0) into 0 4.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.470 * [backup-simplify]: Simplify (- 0) into 0 4.470 * [backup-simplify]: Simplify (+ 0 0) into 0 4.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 4.480 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 4.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.485 * [backup-simplify]: Simplify (+ (* -1/2 (pow (sqrt 1.0) 2)) 0) into (- (* 1/2 (pow (sqrt 1.0) 2))) 4.487 * [backup-simplify]: Simplify (- (* 1/2 (pow (sqrt 1.0) 2))) into (- (* 1/2 (pow (sqrt 1.0) 2))) 4.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.490 * [backup-simplify]: Simplify (+ 0 0) into 0 4.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.492 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.492 * [backup-simplify]: Simplify (- 0) into 0 4.493 * [backup-simplify]: Simplify (+ 0 0) into 0 4.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0 4.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 4.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.498 * [backup-simplify]: Simplify (+ 0 0) into 0 4.498 * [backup-simplify]: Simplify 0 into 0 4.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.501 * [backup-simplify]: Simplify (+ 0 0) into 0 4.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.503 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.503 * [backup-simplify]: Simplify (- 0) into 0 4.504 * [backup-simplify]: Simplify (+ 0 0) into 0 4.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0 4.514 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (pow (sqrt 1.0) 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/8 (pow (sqrt 1.0) 4)) 4.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.518 * [backup-simplify]: Simplify (+ (* -1/8 (pow (sqrt 1.0) 4)) 0) into (- (* 1/8 (pow (sqrt 1.0) 4))) 4.521 * [backup-simplify]: Simplify (- (* 1/8 (pow (sqrt 1.0) 4))) into (- (* 1/8 (pow (sqrt 1.0) 4))) 4.531 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (pow (sqrt 1.0) 4))) (pow (/ 1 x) 3)) (+ (* (- (* 1/2 (pow (sqrt 1.0) 2))) (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 4.532 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) (sqrt (- (/ 1 (- x)) (sqrt 1.0))))) into (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 4.532 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 4.532 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 4.533 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 4.533 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 4.533 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 4.533 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.533 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.533 * [taylor]: Taking taylor expansion of 1.0 in x 4.533 * [backup-simplify]: Simplify 1.0 into 1.0 4.533 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.534 * [taylor]: Taking taylor expansion of x in x 4.534 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify 1 into 1 4.534 * [backup-simplify]: Simplify (/ 1 1) into 1 4.535 * [backup-simplify]: Simplify (+ 0 1) into 1 4.535 * [backup-simplify]: Simplify (- 1) into -1 4.536 * [backup-simplify]: Simplify (sqrt 0) into 0 4.536 * [backup-simplify]: Simplify (- 1) into -1 4.537 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.537 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 4.537 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 4.538 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.538 * [taylor]: Taking taylor expansion of 1.0 in x 4.538 * [backup-simplify]: Simplify 1.0 into 1.0 4.538 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.539 * [taylor]: Taking taylor expansion of x in x 4.539 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify 1 into 1 4.539 * [backup-simplify]: Simplify (/ 1 1) into 1 4.540 * [backup-simplify]: Simplify (- 1) into -1 4.540 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.540 * [backup-simplify]: Simplify (sqrt 0) into 0 4.542 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.542 * [taylor]: Taking taylor expansion of x in x 4.542 * [backup-simplify]: Simplify 0 into 0 4.542 * [backup-simplify]: Simplify 1 into 1 4.542 * [backup-simplify]: Simplify (/ 1 1) into 1 4.542 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 4.542 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 4.542 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 4.542 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 4.542 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.542 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.543 * [taylor]: Taking taylor expansion of 1.0 in x 4.543 * [backup-simplify]: Simplify 1.0 into 1.0 4.543 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.544 * [taylor]: Taking taylor expansion of x in x 4.544 * [backup-simplify]: Simplify 0 into 0 4.544 * [backup-simplify]: Simplify 1 into 1 4.544 * [backup-simplify]: Simplify (/ 1 1) into 1 4.545 * [backup-simplify]: Simplify (+ 0 1) into 1 4.545 * [backup-simplify]: Simplify (- 1) into -1 4.545 * [backup-simplify]: Simplify (sqrt 0) into 0 4.546 * [backup-simplify]: Simplify (- 1) into -1 4.547 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.547 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 4.547 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 4.547 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.547 * [taylor]: Taking taylor expansion of 1.0 in x 4.547 * [backup-simplify]: Simplify 1.0 into 1.0 4.548 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.549 * [taylor]: Taking taylor expansion of x in x 4.549 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify 1 into 1 4.549 * [backup-simplify]: Simplify (/ 1 1) into 1 4.550 * [backup-simplify]: Simplify (- 1) into -1 4.550 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.550 * [backup-simplify]: Simplify (sqrt 0) into 0 4.552 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.552 * [taylor]: Taking taylor expansion of x in x 4.552 * [backup-simplify]: Simplify 0 into 0 4.552 * [backup-simplify]: Simplify 1 into 1 4.552 * [backup-simplify]: Simplify (/ 1 1) into 1 4.553 * [backup-simplify]: Simplify (* 0 0) into 0 4.553 * [backup-simplify]: Simplify (+ 0 0) into 0 4.553 * [backup-simplify]: Simplify 0 into 0 4.554 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 4.554 * [backup-simplify]: Simplify (- 1) into -1 4.555 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.555 * [backup-simplify]: Simplify -1 into -1 4.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.556 * [backup-simplify]: Simplify (- 0) into 0 4.557 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.560 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 4.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.562 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.563 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 4.567 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 4.573 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 4.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.574 * [backup-simplify]: Simplify (- 0) into 0 4.575 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.575 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.577 * [backup-simplify]: Simplify (- 0) into 0 4.577 * [backup-simplify]: Simplify (+ 0 0) into 0 4.586 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.587 * [backup-simplify]: Simplify (+ 0 0) into 0 4.588 * [backup-simplify]: Simplify (- 0) into 0 4.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.613 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.614 * [backup-simplify]: Simplify (- 0) into 0 4.618 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.621 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.625 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) 4.625 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 4.626 * [backup-simplify]: Simplify (sqrt (+ x (sqrt 1.0))) into (sqrt (+ x (sqrt 1.0))) 4.626 * [approximate]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in (x) around 0 4.626 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 4.626 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 4.626 * [taylor]: Taking taylor expansion of x in x 4.626 * [backup-simplify]: Simplify 0 into 0 4.626 * [backup-simplify]: Simplify 1 into 1 4.626 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.626 * [taylor]: Taking taylor expansion of 1.0 in x 4.626 * [backup-simplify]: Simplify 1.0 into 1.0 4.626 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.628 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 4.629 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 4.629 * [backup-simplify]: Simplify (+ 1 0) into 1 4.632 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 4.632 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 4.632 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 4.632 * [taylor]: Taking taylor expansion of x in x 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 1 into 1 4.632 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.632 * [taylor]: Taking taylor expansion of 1.0 in x 4.632 * [backup-simplify]: Simplify 1.0 into 1.0 4.633 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.634 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 4.635 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 4.636 * [backup-simplify]: Simplify (+ 1 0) into 1 4.638 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 4.639 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 4.642 * [backup-simplify]: Simplify (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 4.643 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.643 * [backup-simplify]: Simplify (+ 0 0) into 0 4.653 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 2) (+)) (* 2 (sqrt (sqrt 1.0)))) into (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) 4.657 * [backup-simplify]: Simplify (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) into (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) 4.664 * [backup-simplify]: Simplify (+ (* (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (pow x 2)) (+ (* (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) x) (sqrt (sqrt 1.0)))) into (- (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) 4.665 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) (sqrt 1.0))) into (sqrt (+ (sqrt 1.0) (/ 1 x))) 4.665 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 4.665 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 4.665 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.665 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.665 * [taylor]: Taking taylor expansion of 1.0 in x 4.665 * [backup-simplify]: Simplify 1.0 into 1.0 4.665 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.666 * [taylor]: Taking taylor expansion of x in x 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 1 into 1 4.667 * [backup-simplify]: Simplify (/ 1 1) into 1 4.667 * [backup-simplify]: Simplify (+ 0 1) into 1 4.667 * [backup-simplify]: Simplify (sqrt 0) into 0 4.669 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.669 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 4.669 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.669 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.669 * [taylor]: Taking taylor expansion of 1.0 in x 4.669 * [backup-simplify]: Simplify 1.0 into 1.0 4.670 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.670 * [taylor]: Taking taylor expansion of x in x 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify 1 into 1 4.671 * [backup-simplify]: Simplify (/ 1 1) into 1 4.671 * [backup-simplify]: Simplify (+ 0 1) into 1 4.671 * [backup-simplify]: Simplify (sqrt 0) into 0 4.673 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.673 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.680 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.685 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 4.686 * [backup-simplify]: Simplify (* +nan.0 (- (sqrt 1.0) +nan.0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 4.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.688 * [backup-simplify]: Simplify (+ 0 0) into 0 4.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.699 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.704 * [backup-simplify]: Simplify (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (pow (/ 1 x) 2)) (+ (* (* +nan.0 (- (sqrt 1.0) +nan.0)) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 4.705 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) into (sqrt (- (sqrt 1.0) (/ 1 x))) 4.705 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 4.705 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 4.705 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 4.705 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.705 * [taylor]: Taking taylor expansion of 1.0 in x 4.705 * [backup-simplify]: Simplify 1.0 into 1.0 4.706 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.707 * [taylor]: Taking taylor expansion of x in x 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [backup-simplify]: Simplify (/ 1 1) into 1 4.708 * [backup-simplify]: Simplify (- 1) into -1 4.708 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.708 * [backup-simplify]: Simplify (sqrt 0) into 0 4.710 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.710 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 4.710 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 4.710 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.710 * [taylor]: Taking taylor expansion of 1.0 in x 4.710 * [backup-simplify]: Simplify 1.0 into 1.0 4.710 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.711 * [taylor]: Taking taylor expansion of x in x 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.712 * [backup-simplify]: Simplify (/ 1 1) into 1 4.712 * [backup-simplify]: Simplify (- 1) into -1 4.712 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.713 * [backup-simplify]: Simplify (sqrt 0) into 0 4.714 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.715 * [backup-simplify]: Simplify (- 0) into 0 4.716 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.720 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 4.722 * [backup-simplify]: Simplify (* +nan.0 (- (sqrt 1.0) +nan.0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 4.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.723 * [backup-simplify]: Simplify (- 0) into 0 4.723 * [backup-simplify]: Simplify (+ 0 0) into 0 4.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.733 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.738 * [backup-simplify]: Simplify (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (* +nan.0 (- (sqrt 1.0) +nan.0)) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 4.738 * * * [progress]: simplifying candidates 4.740 * [simplify]: Simplifying: (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (+ (log (sqrt (+ x (sqrt 1.0)))) (log (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (- x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) 1) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (expm1 (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log1p (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (exp x) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (expm1 (sqrt (+ x (sqrt 1.0)))) (log1p (sqrt (+ x (sqrt 1.0)))) (log (sqrt (+ x (sqrt 1.0)))) (exp (sqrt (+ x (sqrt 1.0)))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (cbrt (sqrt (+ x (sqrt 1.0))))) (cbrt (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (sqrt (* (cbrt (+ x (sqrt 1.0))) (cbrt (+ x (sqrt 1.0))))) (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt 1) (sqrt (+ x (sqrt 1.0))) (sqrt 1) (sqrt (+ x (sqrt 1.0))) (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))) (/ 1 2) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) (- (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 4.745 * * [simplify]: iteration 0: 181 enodes 4.847 * * [simplify]: iteration 1: 443 enodes 5.218 * * [simplify]: iteration 2: 1255 enodes 7.125 * * [simplify]: iteration 3: 4244 enodes 9.338 * * [simplify]: iteration complete: 5000 enodes 9.338 * * [simplify]: Extracting #0: cost 65 inf + 0 9.340 * * [simplify]: Extracting #1: cost 355 inf + 2 9.349 * * [simplify]: Extracting #2: cost 984 inf + 1178 9.367 * * [simplify]: Extracting #3: cost 914 inf + 32912 9.422 * * [simplify]: Extracting #4: cost 310 inf + 159675 9.536 * * [simplify]: Extracting #5: cost 15 inf + 253424 9.674 * * [simplify]: Extracting #6: cost 0 inf + 258339 9.822 * [simplify]: Simplified to: (expm1 (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (log1p (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (- (* x x) 1.0) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (- (* x x) 1.0) (log (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (log (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (exp (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (* (* (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (- x (sqrt 1.0))) (+ x (sqrt 1.0))) (* (cbrt (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (cbrt (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))))) (cbrt (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (* (* (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (- x (sqrt 1.0))) (+ x (sqrt 1.0))) (- (* x x) 1.0) (sqrt (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (sqrt (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (* (sqrt (fma (* x x) x (* 1.0 (sqrt 1.0)))) (sqrt (- (* (* x x) x) (* 1.0 (sqrt 1.0))))) (* (sqrt (+ (* x (sqrt 1.0)) (fma x x 1.0))) (sqrt (fma x x (- 1.0 (* x (sqrt 1.0)))))) (* (sqrt (fma (* x x) x (* 1.0 (sqrt 1.0)))) (sqrt (- (* x x) 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (fma x x (- 1.0 (* x (sqrt 1.0)))))) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* (* x x) x) (* 1.0 (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (fma x x (fma (sqrt 1.0) x 1.0)))) (- (* x x) 1.0) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (* (sqrt (+ x (sqrt 1.0))) (cbrt (sqrt (- x (sqrt 1.0))))) (cbrt (sqrt (- x (sqrt 1.0))))) (* (fabs (cbrt (- x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (cbrt (+ x (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* (* x x) x) (* 1.0 (sqrt 1.0))))) (* (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (fma (* x x) x (* 1.0 (sqrt 1.0))))) (* (sqrt (- (* x x) 1.0)) (sqrt (- x (sqrt 1.0)))) (expm1 (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log1p (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) (* (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (fma x (* x x) (* (* (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (- x (sqrt 1.0))) (+ x (sqrt 1.0)))) (fma x x (* (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (- (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) x))) (- (* x x) (- (* x x) 1.0)) (- x (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (expm1 (sqrt (+ x (sqrt 1.0)))) (log1p (sqrt (+ x (sqrt 1.0)))) (log (sqrt (+ x (sqrt 1.0)))) (exp (sqrt (+ x (sqrt 1.0)))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (cbrt (sqrt (+ x (sqrt 1.0))))) (cbrt (sqrt (+ x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (sqrt (+ x (sqrt 1.0)))) (fabs (cbrt (+ x (sqrt 1.0)))) (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) 1 (sqrt (+ x (sqrt 1.0))) 1 (sqrt (+ x (sqrt 1.0))) (sqrt (fma (* x x) x (* 1.0 (sqrt 1.0)))) (sqrt (fma x x (- 1.0 (* x (sqrt 1.0))))) (sqrt (- (* x x) 1.0)) (sqrt (- x (sqrt 1.0))) 1/2 (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (fma -1/8 (/ (/ (* (* x x) (* x x)) (- 1.0)) (sqrt (- 1.0))) (fma 1/2 (/ (* x x) (sqrt (- 1.0))) (sqrt (- 1.0)))) (- x (fma 1/8 (/ (* (/ 1.0 x) (/ 1.0 x)) x) (* 1/2 (/ 1.0 x)))) (- (+ (fma (/ +nan.0 x) (- (/ 1.0 x) (/ (sqrt 1.0) x)) (- (fma +nan.0 (/ (sqrt 1.0) x) (- (/ +nan.0 x))) +nan.0)) (/ (/ +nan.0 x) x))) (+ x (fma 1/2 (/ (* x x) (sqrt (- 1.0))) (sqrt (- 1.0)))) (- (* x 2) (fma 1/8 (/ (* (/ 1.0 x) (/ 1.0 x)) x) (* 1/2 (/ 1.0 x)))) (- (+ (- x +nan.0) (/ (* +nan.0 (sqrt 1.0)) x)) (/ +nan.0 x)) (fma x (* (sqrt (/ 1 (sqrt 1.0))) 1/2) (fma (sqrt (/ (/ 1 (sqrt 1.0)) 1.0)) (* (* x x) -1/8) (sqrt (sqrt 1.0)))) (fma (/ (sqrt 1.0) x) (- +nan.0) (fma (/ +nan.0 x) (/ (sqrt 1.0) x) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)))) (fma (/ (sqrt 1.0) x) (- +nan.0) (fma (/ +nan.0 x) (/ (sqrt 1.0) x) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)))) 9.833 * * * [progress]: adding candidates to table 10.561 * [progress]: [Phase 3 of 3] Extracting. 10.571 * [simplify]: Simplifying: (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 10.572 * * [simplify]: iteration 0: 10 enodes 10.573 * * [simplify]: iteration 1: 13 enodes 10.574 * * [simplify]: iteration complete: 13 enodes 10.574 * * [simplify]: Extracting #0: cost 1 inf + 0 10.575 * * [simplify]: Extracting #1: cost 2 inf + 0 10.575 * * [simplify]: Extracting #2: cost 4 inf + 0 10.575 * * [simplify]: Extracting #3: cost 5 inf + 1 10.575 * * [simplify]: Extracting #4: cost 7 inf + 1 10.575 * * [simplify]: Extracting #5: cost 8 inf + 1 10.575 * * [simplify]: Extracting #6: cost 9 inf + 1 10.575 * * [simplify]: Extracting #7: cost 7 inf + 43 10.575 * * [simplify]: Extracting #8: cost 0 inf + 1327 10.576 * [simplify]: Simplified to: (log (+ (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x))) x)) 15.410 * [regime-testing]: Baseline error score: 0.02712839104888111 15.428 * [regime-testing]: Oracle error score: 0.02712839104888111 15.429 * [regime-testing]: End program error score: 0.02712839104888111