0.685 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.100 * * * [progress]: [2/2] Setting up program. 0.102 * [progress]: [Phase 2 of 3] Improving. 0.103 * [simplify]: Simplifying: (- (sqrt (+ x 1.0)) (sqrt x)) 0.103 * [simplify]: Sending expressions to egg_math: (- (sqrt (+ h0 h1)) (sqrt h0)) 0.104 * * [progress]: iteration 1 / 4 0.104 * * * [progress]: picking best candidate 0.106 * * * * [pick]: Picked # 0.106 * * * [progress]: localizing error 0.112 * * * [progress]: generating rewritten candidates 0.112 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.170 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.197 * * * [progress]: generating series expansions 0.197 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.198 * [backup-simplify]: Simplify (- (sqrt (+ x 1.0)) (sqrt x)) into (- (sqrt (+ x 1.0)) (sqrt x)) 0.198 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.198 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.198 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [backup-simplify]: Simplify 1.0 into 1.0 0.199 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.199 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.200 * [backup-simplify]: Simplify (+ 1 0) into 1 0.201 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.201 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (sqrt 0) into 0 0.203 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.203 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.203 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [backup-simplify]: Simplify 1.0 into 1.0 0.203 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.204 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.204 * [backup-simplify]: Simplify (+ 1 0) into 1 0.205 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.205 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (sqrt 0) into 0 0.206 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.207 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.208 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.209 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) (- +nan.0)) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.211 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.217 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.217 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.220 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) (- +nan.0)) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 0.225 * [backup-simplify]: Simplify (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 0.233 * [backup-simplify]: Simplify (+ (* (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (pow x 2)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) 0.233 * [backup-simplify]: Simplify (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) 0.233 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.233 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.233 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.234 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.234 * [taylor]: Taking taylor expansion of 1.0 in x 0.234 * [backup-simplify]: Simplify 1.0 into 1.0 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [backup-simplify]: Simplify (+ 0 1) into 1 0.235 * [backup-simplify]: Simplify (sqrt 0) into 0 0.237 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.237 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify (sqrt 0) into 0 0.239 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.239 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.239 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.239 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [backup-simplify]: Simplify 1.0 into 1.0 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [backup-simplify]: Simplify (+ 0 1) into 1 0.240 * [backup-simplify]: Simplify (sqrt 0) into 0 0.242 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.242 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [backup-simplify]: Simplify (sqrt 0) into 0 0.244 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.246 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.246 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.251 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.255 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.256 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.256 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.266 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.267 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.267 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.268 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.269 * [backup-simplify]: Simplify (- (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) 0.269 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.269 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.269 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.269 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of 1.0 in x 0.269 * [backup-simplify]: Simplify 1.0 into 1.0 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [backup-simplify]: Simplify (- 1) into -1 0.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.271 * [backup-simplify]: Simplify (sqrt 0) into 0 0.272 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.272 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.272 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.272 * [taylor]: Taking taylor expansion of -1 in x 0.272 * [backup-simplify]: Simplify -1 into -1 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ -1 1) into -1 0.273 * [backup-simplify]: Simplify (sqrt 0) into 0 0.274 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.274 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.274 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.274 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [backup-simplify]: Simplify 1.0 into 1.0 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (- 1) into -1 0.276 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.276 * [backup-simplify]: Simplify (sqrt 0) into 0 0.278 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.278 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.278 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.278 * [taylor]: Taking taylor expansion of -1 in x 0.278 * [backup-simplify]: Simplify -1 into -1 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ -1 1) into -1 0.279 * [backup-simplify]: Simplify (sqrt 0) into 0 0.280 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.282 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.282 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.287 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.291 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.292 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.292 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.302 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.302 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.303 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.304 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.304 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.304 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 0.304 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.304 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [backup-simplify]: Simplify 1.0 into 1.0 0.305 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.305 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.306 * [backup-simplify]: Simplify (+ 1 0) into 1 0.307 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.307 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.307 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * [backup-simplify]: Simplify 1.0 into 1.0 0.308 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.308 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.314 * [backup-simplify]: Simplify (+ 1 0) into 1 0.316 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.317 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.318 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.324 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.327 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 0.327 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ 1.0 (/ 1 x))) 0.328 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.328 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [backup-simplify]: Simplify 1.0 into 1.0 0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [backup-simplify]: Simplify (+ 0 1) into 1 0.329 * [backup-simplify]: Simplify (sqrt 0) into 0 0.330 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.330 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [backup-simplify]: Simplify 1.0 into 1.0 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [backup-simplify]: Simplify (+ 0 1) into 1 0.331 * [backup-simplify]: Simplify (sqrt 0) into 0 0.332 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.332 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.336 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.336 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.341 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.341 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.342 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 0.342 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.342 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.342 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [backup-simplify]: Simplify 1.0 into 1.0 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [backup-simplify]: Simplify (- 1) into -1 0.343 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.343 * [backup-simplify]: Simplify (sqrt 0) into 0 0.345 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.345 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.345 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [backup-simplify]: Simplify 1.0 into 1.0 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [backup-simplify]: Simplify (- 1) into -1 0.346 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.346 * [backup-simplify]: Simplify (sqrt 0) into 0 0.348 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.352 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.352 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.357 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.357 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.357 * * * [progress]: simplifying candidates 0.359 * [simplify]: Simplifying: (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.359 * [simplify]: Sending expressions to egg_math: (/ (exp (sqrt (+ h0 h1))) (exp (sqrt h0))) (log (- (sqrt (+ h0 h1)) (sqrt h0))) (exp (- (sqrt (+ h0 h1)) (sqrt h0))) (* (cbrt (- (sqrt (+ h0 h1)) (sqrt h0))) (cbrt (- (sqrt (+ h0 h1)) (sqrt h0)))) (cbrt (- (sqrt (+ h0 h1)) (sqrt h0))) (* (* (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt (+ h0 h1)) (sqrt h0))) (- (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (- (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (- (sqrt (+ h0 h1)) (sqrt h0))) (- (pow (sqrt (+ h0 h1)) 3) (pow (sqrt h0) 3)) (+ (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (+ (* (sqrt h0) (sqrt h0)) (* (sqrt (+ h0 h1)) (sqrt h0)))) (- (sqrt h0)) (- (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt h0))) (+ (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (+ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (+ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (+ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt h0)) (log (sqrt (+ h0 h1))) (exp (sqrt (+ h0 h1))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt 1) (sqrt (+ h0 h1)) (sqrt 1) (sqrt (+ h0 h1)) (sqrt (+ (pow h0 3) (pow h1 3))) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- h0 h1)) (/ 1 2) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (+ (* h2 (pow h0 2)) (- (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3))) (* h2 h0)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) 0.472 * * * [progress]: adding candidates to table 0.560 * * [progress]: iteration 2 / 4 0.560 * * * [progress]: picking best candidate 0.565 * * * * [pick]: Picked # 0.566 * * * [progress]: localizing error 0.578 * * * [progress]: generating rewritten candidates 0.578 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.651 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.692 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.703 * * * [progress]: generating series expansions 0.704 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.704 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 0.704 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.704 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.704 * [taylor]: Taking taylor expansion of 1.0 in x 0.704 * [backup-simplify]: Simplify 1.0 into 1.0 0.704 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.704 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.704 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [taylor]: Taking taylor expansion of 1.0 in x 0.704 * [backup-simplify]: Simplify 1.0 into 1.0 0.705 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.705 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.705 * [backup-simplify]: Simplify (+ 1 0) into 1 0.706 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.706 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (sqrt 0) into 0 0.707 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.708 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.709 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 0.709 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.709 * [taylor]: Taking taylor expansion of 1.0 in x 0.709 * [backup-simplify]: Simplify 1.0 into 1.0 0.709 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.709 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.709 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [taylor]: Taking taylor expansion of 1.0 in x 0.709 * [backup-simplify]: Simplify 1.0 into 1.0 0.709 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.709 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.710 * [backup-simplify]: Simplify (+ 1 0) into 1 0.711 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.711 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (sqrt 0) into 0 0.713 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.714 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.714 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 0.715 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 0.716 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.723 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 0.732 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.737 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.739 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.742 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 0.777 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 0.799 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 0.828 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) 0.829 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 0.829 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.829 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.829 * [taylor]: Taking taylor expansion of 1.0 in x 0.829 * [backup-simplify]: Simplify 1.0 into 1.0 0.829 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.829 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 1 into 1 0.829 * [backup-simplify]: Simplify (/ 1 1) into 1 0.829 * [backup-simplify]: Simplify (sqrt 0) into 0 0.830 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.830 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.830 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.830 * [taylor]: Taking taylor expansion of 1.0 in x 0.830 * [backup-simplify]: Simplify 1.0 into 1.0 0.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 1 into 1 0.831 * [backup-simplify]: Simplify (/ 1 1) into 1 0.831 * [backup-simplify]: Simplify (+ 0 1) into 1 0.831 * [backup-simplify]: Simplify (sqrt 0) into 0 0.832 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.832 * [backup-simplify]: Simplify (+ 0 0) into 0 0.832 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.833 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 0.833 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.833 * [taylor]: Taking taylor expansion of 1.0 in x 0.833 * [backup-simplify]: Simplify 1.0 into 1.0 0.833 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (/ 1 1) into 1 0.834 * [backup-simplify]: Simplify (sqrt 0) into 0 0.834 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.835 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.835 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.835 * [taylor]: Taking taylor expansion of 1.0 in x 0.835 * [backup-simplify]: Simplify 1.0 into 1.0 0.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (/ 1 1) into 1 0.835 * [backup-simplify]: Simplify (+ 0 1) into 1 0.835 * [backup-simplify]: Simplify (sqrt 0) into 0 0.836 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.837 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.837 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 0.837 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.842 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.842 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.845 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.845 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (+ 0 0) into 0 0.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.852 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.855 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.856 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.856 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.857 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 0.857 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.857 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [backup-simplify]: Simplify 1.0 into 1.0 0.857 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.857 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.857 * [taylor]: Taking taylor expansion of -1 in x 0.857 * [backup-simplify]: Simplify -1 into -1 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [backup-simplify]: Simplify (/ -1 1) into -1 0.857 * [backup-simplify]: Simplify (sqrt 0) into 0 0.858 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.858 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.858 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.858 * [taylor]: Taking taylor expansion of 1.0 in x 0.858 * [backup-simplify]: Simplify 1.0 into 1.0 0.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.859 * [backup-simplify]: Simplify (/ 1 1) into 1 0.859 * [backup-simplify]: Simplify (- 1) into -1 0.859 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.860 * [backup-simplify]: Simplify (sqrt 0) into 0 0.861 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.862 * [backup-simplify]: Simplify (+ 0 0) into 0 0.862 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.863 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 0.863 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.863 * [taylor]: Taking taylor expansion of 1.0 in x 0.863 * [backup-simplify]: Simplify 1.0 into 1.0 0.863 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.863 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.863 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.863 * [taylor]: Taking taylor expansion of -1 in x 0.863 * [backup-simplify]: Simplify -1 into -1 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.864 * [backup-simplify]: Simplify (/ -1 1) into -1 0.864 * [backup-simplify]: Simplify (sqrt 0) into 0 0.865 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.865 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.865 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.866 * [taylor]: Taking taylor expansion of 1.0 in x 0.866 * [backup-simplify]: Simplify 1.0 into 1.0 0.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [backup-simplify]: Simplify (/ 1 1) into 1 0.866 * [backup-simplify]: Simplify (- 1) into -1 0.867 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.867 * [backup-simplify]: Simplify (sqrt 0) into 0 0.869 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.869 * [backup-simplify]: Simplify (+ 0 0) into 0 0.869 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.870 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 0.870 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.874 * [backup-simplify]: Simplify (- 0) into 0 0.874 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.876 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.876 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.879 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.879 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (- 0) into 0 0.884 * [backup-simplify]: Simplify (+ 0 0) into 0 0.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.886 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.891 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.891 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.892 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.892 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.893 * [backup-simplify]: Simplify (+ (sqrt (+ x 1.0)) (sqrt x)) into (+ (sqrt (+ x 1.0)) (sqrt x)) 0.893 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.893 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.893 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.893 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [taylor]: Taking taylor expansion of 1.0 in x 0.893 * [backup-simplify]: Simplify 1.0 into 1.0 0.893 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.894 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.894 * [backup-simplify]: Simplify (+ 1 0) into 1 0.901 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.901 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [backup-simplify]: Simplify (sqrt 0) into 0 0.903 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.903 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.903 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.903 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [backup-simplify]: Simplify 1.0 into 1.0 0.904 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.904 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.905 * [backup-simplify]: Simplify (+ 1 0) into 1 0.906 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.906 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (sqrt 0) into 0 0.908 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.909 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.910 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.911 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.914 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.918 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.920 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.922 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 0.925 * [backup-simplify]: Simplify (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 0.930 * [backup-simplify]: Simplify (+ (* (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (pow x 2)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) 0.930 * [backup-simplify]: Simplify (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) 0.930 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.930 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (/ 1 1) into 1 0.931 * [backup-simplify]: Simplify (sqrt 0) into 0 0.932 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.932 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.932 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.932 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [backup-simplify]: Simplify 1.0 into 1.0 0.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [backup-simplify]: Simplify (/ 1 1) into 1 0.932 * [backup-simplify]: Simplify (+ 0 1) into 1 0.933 * [backup-simplify]: Simplify (sqrt 0) into 0 0.934 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.934 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.934 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [backup-simplify]: Simplify (/ 1 1) into 1 0.935 * [backup-simplify]: Simplify (sqrt 0) into 0 0.936 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.936 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.936 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [backup-simplify]: Simplify 1.0 into 1.0 0.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (/ 1 1) into 1 0.937 * [backup-simplify]: Simplify (+ 0 1) into 1 0.937 * [backup-simplify]: Simplify (sqrt 0) into 0 0.938 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.939 * [backup-simplify]: Simplify (+ 0 0) into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.940 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.943 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.945 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.945 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.945 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.951 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.952 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.953 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.953 * [backup-simplify]: Simplify (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 0.953 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.953 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.953 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.953 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.953 * [taylor]: Taking taylor expansion of -1 in x 0.953 * [backup-simplify]: Simplify -1 into -1 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 1 into 1 0.953 * [backup-simplify]: Simplify (/ -1 1) into -1 0.954 * [backup-simplify]: Simplify (sqrt 0) into 0 0.955 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.955 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.955 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.955 * [taylor]: Taking taylor expansion of 1.0 in x 0.955 * [backup-simplify]: Simplify 1.0 into 1.0 0.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 1 into 1 0.955 * [backup-simplify]: Simplify (/ 1 1) into 1 0.955 * [backup-simplify]: Simplify (- 1) into -1 0.955 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.956 * [backup-simplify]: Simplify (sqrt 0) into 0 0.956 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.956 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.956 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.956 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.956 * [taylor]: Taking taylor expansion of -1 in x 0.956 * [backup-simplify]: Simplify -1 into -1 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [backup-simplify]: Simplify (/ -1 1) into -1 0.957 * [backup-simplify]: Simplify (sqrt 0) into 0 0.958 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.958 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.958 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.958 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [backup-simplify]: Simplify 1.0 into 1.0 0.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [backup-simplify]: Simplify (/ 1 1) into 1 0.958 * [backup-simplify]: Simplify (- 1) into -1 0.959 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.959 * [backup-simplify]: Simplify (sqrt 0) into 0 0.960 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.960 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.963 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.963 * [backup-simplify]: Simplify (- 0) into 0 0.964 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.965 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.966 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.966 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.969 * [backup-simplify]: Simplify (- 0) into 0 0.970 * [backup-simplify]: Simplify (+ 0 0) into 0 0.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.972 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.972 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.973 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.973 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.973 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 0.973 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.973 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.973 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.973 * [taylor]: Taking taylor expansion of x in x 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [taylor]: Taking taylor expansion of 1.0 in x 0.974 * [backup-simplify]: Simplify 1.0 into 1.0 0.974 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.974 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.974 * [backup-simplify]: Simplify (+ 1 0) into 1 0.975 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.975 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.975 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 1 into 1 0.975 * [taylor]: Taking taylor expansion of 1.0 in x 0.975 * [backup-simplify]: Simplify 1.0 into 1.0 0.976 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.976 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.976 * [backup-simplify]: Simplify (+ 1 0) into 1 0.977 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.977 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.978 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.978 * [backup-simplify]: Simplify (+ 0 0) into 0 0.981 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.982 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.984 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 0.985 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ 1.0 (/ 1 x))) 0.985 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.985 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.985 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [backup-simplify]: Simplify 1.0 into 1.0 0.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify 1 into 1 0.985 * [backup-simplify]: Simplify (/ 1 1) into 1 0.985 * [backup-simplify]: Simplify (+ 0 1) into 1 0.986 * [backup-simplify]: Simplify (sqrt 0) into 0 0.986 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.986 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.986 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.986 * [taylor]: Taking taylor expansion of 1.0 in x 0.986 * [backup-simplify]: Simplify 1.0 into 1.0 0.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.987 * [backup-simplify]: Simplify (/ 1 1) into 1 0.987 * [backup-simplify]: Simplify (+ 0 1) into 1 0.987 * [backup-simplify]: Simplify (sqrt 0) into 0 0.988 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.989 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.992 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.992 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.993 * [backup-simplify]: Simplify (+ 0 0) into 0 0.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.995 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.996 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.996 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 0.996 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.996 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.996 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of 1.0 in x 0.996 * [backup-simplify]: Simplify 1.0 into 1.0 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.996 * [backup-simplify]: Simplify (/ 1 1) into 1 0.996 * [backup-simplify]: Simplify (- 1) into -1 0.997 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.997 * [backup-simplify]: Simplify (sqrt 0) into 0 1.003 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.003 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.003 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.003 * [taylor]: Taking taylor expansion of 1.0 in x 1.003 * [backup-simplify]: Simplify 1.0 into 1.0 1.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.003 * [backup-simplify]: Simplify (/ 1 1) into 1 1.004 * [backup-simplify]: Simplify (- 1) into -1 1.004 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.005 * [backup-simplify]: Simplify (sqrt 0) into 0 1.006 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (- 0) into 0 1.008 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.011 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.011 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.012 * [backup-simplify]: Simplify (- 0) into 0 1.012 * [backup-simplify]: Simplify (+ 0 0) into 0 1.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.016 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.016 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.016 * * * [progress]: simplifying candidates 1.019 * [simplify]: Simplifying: (- (log 1.0) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 1) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt 1)) (/ 1.0 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ 1.0 (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.020 * [simplify]: Sending expressions to egg_math: (- (log h1) (log (+ (sqrt (+ h0 h1)) (sqrt h0)))) (log (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0)))) (exp (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ (* (* h1 h1) h1) (* (* (+ (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (+ h0 h1)) (sqrt h0))) (+ (sqrt (+ h0 h1)) (sqrt h0)))) (* (cbrt (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0)))) (cbrt (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0))))) (cbrt (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0)))) (* (* (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0)))) (sqrt (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0)))) (sqrt (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0)))) (- h1) (- (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (* (cbrt h1) (cbrt h1)) (* (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))))) (/ (cbrt h1) (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ (cbrt h1) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (* (cbrt h1) (cbrt h1)) (sqrt 1)) (/ (cbrt h1) (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (* (cbrt h1) (cbrt h1)) (sqrt 1)) (/ (cbrt h1) (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (sqrt h1) (* (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))))) (/ (sqrt h1) (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ (sqrt h1) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ (sqrt h1) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ (sqrt h1) 1) (/ (sqrt h1) (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (sqrt h1) (sqrt 1)) (/ (sqrt h1) (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (sqrt h1) (sqrt 1)) (/ (sqrt h1) (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (sqrt h1) 1) (/ (sqrt h1) (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ 1 (* (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))))) (/ h1 (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ 1 (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ h1 (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ 1 1) (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ 1 (sqrt 1)) (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ 1 (sqrt 1)) (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ 1 1) (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ 1 (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (+ (sqrt (+ h0 h1)) (sqrt h0)) h1) (/ h1 (* (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))))) (/ h1 (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ h1 1) (/ h1 (sqrt 1)) (/ h1 (sqrt 1)) (/ h1 1) (/ (+ (sqrt (+ h0 h1)) (sqrt h0)) (cbrt h1)) (/ (+ (sqrt (+ h0 h1)) (sqrt h0)) (sqrt h1)) (/ (+ (sqrt (+ h0 h1)) (sqrt h0)) h1) (/ h1 (+ (pow (sqrt (+ h0 h1)) 3) (pow (sqrt h0) 3))) (/ h1 (- (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt h0)))) (* (exp (sqrt (+ h0 h1))) (exp (sqrt h0))) (log (+ (sqrt (+ h0 h1)) (sqrt h0))) (exp (+ (sqrt (+ h0 h1)) (sqrt h0))) (* (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (* (* (+ (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (+ h0 h1)) (sqrt h0))) (+ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (+ (pow (sqrt (+ h0 h1)) 3) (pow (sqrt h0) 3)) (+ (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (- (* (sqrt h0) (sqrt h0)) (* (sqrt (+ h0 h1)) (sqrt h0)))) (- (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt h0))) (- (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (+ h0 h1)) (sqrt h0)) (log (sqrt (+ h0 h1))) (exp (sqrt (+ h0 h1))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt 1) (sqrt (+ h0 h1)) (sqrt 1) (sqrt (+ h0 h1)) (sqrt (+ (pow h0 3) (pow h1 3))) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- h0 h1)) (/ 1 2) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (+ (* h1 (/ 1 (sqrt h1))) (* h4 (/ (pow h0 2) (pow (sqrt h1) 5)))) (+ (* h2 (/ (pow h0 2) (pow (sqrt h1) 2))) (- (* h3 (/ h0 (pow (sqrt h1) 3))) (+ (* h2 (/ (pow h0 2) (pow (sqrt h1) 4))) (- (+ (* h2 (/ h0 (pow (sqrt h1) 2))) (- (* h2 (/ (pow h0 2) (pow (sqrt h1) 3)))))))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (+ (* h2 (pow h0 2)) (- (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3))) (* h2 h0)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) 1.120 * * * [progress]: adding candidates to table 1.324 * * [progress]: iteration 3 / 4 1.324 * * * [progress]: picking best candidate 1.365 * * * * [pick]: Picked # 1.365 * * * [progress]: localizing error 1.389 * * * [progress]: generating rewritten candidates 1.389 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.576 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.650 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.715 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.787 * * * [progress]: generating series expansions 1.787 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.788 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) into (+ (sqrt (+ x 1.0)) (sqrt x)) 1.788 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 1.788 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.788 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.788 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.788 * [taylor]: Taking taylor expansion of x in x 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 1 into 1 1.788 * [taylor]: Taking taylor expansion of 1.0 in x 1.788 * [backup-simplify]: Simplify 1.0 into 1.0 1.789 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.789 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.789 * [backup-simplify]: Simplify (+ 1 0) into 1 1.791 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.791 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.791 * [taylor]: Taking taylor expansion of x in x 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.792 * [backup-simplify]: Simplify (sqrt 0) into 0 1.793 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.793 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.793 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.793 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.793 * [taylor]: Taking taylor expansion of x in x 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 1 into 1 1.793 * [taylor]: Taking taylor expansion of 1.0 in x 1.793 * [backup-simplify]: Simplify 1.0 into 1.0 1.793 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.793 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.794 * [backup-simplify]: Simplify (+ 1 0) into 1 1.795 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.795 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.795 * [taylor]: Taking taylor expansion of x in x 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [backup-simplify]: Simplify (sqrt 0) into 0 1.796 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.796 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.797 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.798 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 1.799 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 1.800 * [backup-simplify]: Simplify (+ 0 0) into 0 1.807 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.809 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.810 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1.813 * [backup-simplify]: Simplify (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1.818 * [backup-simplify]: Simplify (+ (* (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (pow x 2)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) 1.818 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) into (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) 1.818 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 1.818 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.818 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.818 * [taylor]: Taking taylor expansion of x in x 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify (/ 1 1) into 1 1.819 * [backup-simplify]: Simplify (sqrt 0) into 0 1.820 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.820 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.820 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.820 * [taylor]: Taking taylor expansion of 1.0 in x 1.820 * [backup-simplify]: Simplify 1.0 into 1.0 1.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.820 * [taylor]: Taking taylor expansion of x in x 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 1 into 1 1.820 * [backup-simplify]: Simplify (/ 1 1) into 1 1.820 * [backup-simplify]: Simplify (+ 0 1) into 1 1.820 * [backup-simplify]: Simplify (sqrt 0) into 0 1.821 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.821 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.821 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.821 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.821 * [taylor]: Taking taylor expansion of x in x 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.822 * [backup-simplify]: Simplify (/ 1 1) into 1 1.822 * [backup-simplify]: Simplify (sqrt 0) into 0 1.823 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.823 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.823 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.823 * [taylor]: Taking taylor expansion of 1.0 in x 1.823 * [backup-simplify]: Simplify 1.0 into 1.0 1.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [backup-simplify]: Simplify (/ 1 1) into 1 1.823 * [backup-simplify]: Simplify (+ 0 1) into 1 1.823 * [backup-simplify]: Simplify (sqrt 0) into 0 1.824 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.824 * [backup-simplify]: Simplify (+ 0 0) into 0 1.824 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.825 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.827 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.828 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.830 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.830 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.830 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.834 * [backup-simplify]: Simplify (+ 0 0) into 0 1.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.836 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.836 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.837 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.837 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) into (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 1.837 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.837 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.837 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.837 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.837 * [taylor]: Taking taylor expansion of -1 in x 1.837 * [backup-simplify]: Simplify -1 into -1 1.837 * [taylor]: Taking taylor expansion of x in x 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (/ -1 1) into -1 1.838 * [backup-simplify]: Simplify (sqrt 0) into 0 1.839 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.839 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.839 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.839 * [taylor]: Taking taylor expansion of 1.0 in x 1.839 * [backup-simplify]: Simplify 1.0 into 1.0 1.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.839 * [taylor]: Taking taylor expansion of x in x 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [backup-simplify]: Simplify (/ 1 1) into 1 1.839 * [backup-simplify]: Simplify (- 1) into -1 1.840 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.840 * [backup-simplify]: Simplify (sqrt 0) into 0 1.841 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.841 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.841 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.841 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.841 * [taylor]: Taking taylor expansion of -1 in x 1.841 * [backup-simplify]: Simplify -1 into -1 1.841 * [taylor]: Taking taylor expansion of x in x 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (/ -1 1) into -1 1.841 * [backup-simplify]: Simplify (sqrt 0) into 0 1.842 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.842 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.842 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.842 * [taylor]: Taking taylor expansion of 1.0 in x 1.842 * [backup-simplify]: Simplify 1.0 into 1.0 1.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.842 * [taylor]: Taking taylor expansion of x in x 1.842 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (/ 1 1) into 1 1.843 * [backup-simplify]: Simplify (- 1) into -1 1.843 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.843 * [backup-simplify]: Simplify (sqrt 0) into 0 1.844 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.844 * [backup-simplify]: Simplify (+ 0 0) into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.845 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.847 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.848 * [backup-simplify]: Simplify (- 0) into 0 1.848 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.850 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.850 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.850 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (- 0) into 0 1.854 * [backup-simplify]: Simplify (+ 0 0) into 0 1.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.856 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.857 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.857 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.858 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.858 * [backup-simplify]: Simplify (/ 1.0 (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1.858 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.858 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.858 * [taylor]: Taking taylor expansion of 1.0 in x 1.858 * [backup-simplify]: Simplify 1.0 into 1.0 1.858 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.858 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.858 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.858 * [taylor]: Taking taylor expansion of x in x 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.858 * [taylor]: Taking taylor expansion of 1.0 in x 1.858 * [backup-simplify]: Simplify 1.0 into 1.0 1.858 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.858 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.859 * [backup-simplify]: Simplify (+ 1 0) into 1 1.860 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.860 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 1 into 1 1.860 * [backup-simplify]: Simplify (sqrt 0) into 0 1.861 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.861 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.862 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 1.862 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.862 * [taylor]: Taking taylor expansion of 1.0 in x 1.862 * [backup-simplify]: Simplify 1.0 into 1.0 1.862 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.862 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.862 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.862 * [taylor]: Taking taylor expansion of 1.0 in x 1.862 * [backup-simplify]: Simplify 1.0 into 1.0 1.862 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.862 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.863 * [backup-simplify]: Simplify (+ 1 0) into 1 1.864 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.864 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.864 * [taylor]: Taking taylor expansion of x in x 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (sqrt 0) into 0 1.865 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.865 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.866 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 1.866 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 1.867 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 1.873 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 1.878 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 1.879 * [backup-simplify]: Simplify (+ 0 0) into 0 1.882 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.883 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.885 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1.913 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 1.926 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 1.945 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) 1.945 * [backup-simplify]: Simplify (/ 1.0 (* (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 1.945 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.945 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.945 * [taylor]: Taking taylor expansion of 1.0 in x 1.945 * [backup-simplify]: Simplify 1.0 into 1.0 1.946 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.946 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.946 * [taylor]: Taking taylor expansion of x in x 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (/ 1 1) into 1 1.946 * [backup-simplify]: Simplify (sqrt 0) into 0 1.947 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.947 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.947 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.947 * [taylor]: Taking taylor expansion of 1.0 in x 1.947 * [backup-simplify]: Simplify 1.0 into 1.0 1.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.947 * [taylor]: Taking taylor expansion of x in x 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (/ 1 1) into 1 1.948 * [backup-simplify]: Simplify (+ 0 1) into 1 1.948 * [backup-simplify]: Simplify (sqrt 0) into 0 1.949 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.949 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.950 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.950 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.950 * [taylor]: Taking taylor expansion of 1.0 in x 1.950 * [backup-simplify]: Simplify 1.0 into 1.0 1.950 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.950 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.950 * [taylor]: Taking taylor expansion of x in x 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [backup-simplify]: Simplify (/ 1 1) into 1 1.950 * [backup-simplify]: Simplify (sqrt 0) into 0 1.951 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.951 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.951 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.951 * [taylor]: Taking taylor expansion of 1.0 in x 1.951 * [backup-simplify]: Simplify 1.0 into 1.0 1.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.951 * [taylor]: Taking taylor expansion of x in x 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (/ 1 1) into 1 1.952 * [backup-simplify]: Simplify (+ 0 1) into 1 1.952 * [backup-simplify]: Simplify (sqrt 0) into 0 1.953 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.953 * [backup-simplify]: Simplify (+ 0 0) into 0 1.953 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.954 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.954 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.958 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.959 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.961 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.961 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.967 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.970 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.970 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.971 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.971 * [backup-simplify]: Simplify (/ 1.0 (* (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 1.971 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.971 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.971 * [taylor]: Taking taylor expansion of 1.0 in x 1.971 * [backup-simplify]: Simplify 1.0 into 1.0 1.971 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.972 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.972 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.972 * [taylor]: Taking taylor expansion of -1 in x 1.972 * [backup-simplify]: Simplify -1 into -1 1.972 * [taylor]: Taking taylor expansion of x in x 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (/ -1 1) into -1 1.972 * [backup-simplify]: Simplify (sqrt 0) into 0 1.973 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.973 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.973 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.973 * [backup-simplify]: Simplify 1.0 into 1.0 1.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (/ 1 1) into 1 1.973 * [backup-simplify]: Simplify (- 1) into -1 1.974 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.974 * [backup-simplify]: Simplify (sqrt 0) into 0 1.981 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.981 * [backup-simplify]: Simplify (+ 0 0) into 0 1.981 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.982 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.982 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.982 * [taylor]: Taking taylor expansion of 1.0 in x 1.982 * [backup-simplify]: Simplify 1.0 into 1.0 1.982 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.982 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.982 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.982 * [taylor]: Taking taylor expansion of -1 in x 1.982 * [backup-simplify]: Simplify -1 into -1 1.982 * [taylor]: Taking taylor expansion of x in x 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (/ -1 1) into -1 1.983 * [backup-simplify]: Simplify (sqrt 0) into 0 1.983 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.984 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.984 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.984 * [taylor]: Taking taylor expansion of 1.0 in x 1.984 * [backup-simplify]: Simplify 1.0 into 1.0 1.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.984 * [taylor]: Taking taylor expansion of x in x 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.984 * [backup-simplify]: Simplify (/ 1 1) into 1 1.984 * [backup-simplify]: Simplify (- 1) into -1 1.984 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.985 * [backup-simplify]: Simplify (sqrt 0) into 0 1.985 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.986 * [backup-simplify]: Simplify (+ 0 0) into 0 1.986 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.986 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.986 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (- 0) into 0 1.990 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.993 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.993 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.996 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.996 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (- 0) into 0 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.003 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.007 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.007 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.008 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.008 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 2.008 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) into (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 2.008 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.008 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.008 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.008 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.008 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.008 * [taylor]: Taking taylor expansion of x in x 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [taylor]: Taking taylor expansion of 1.0 in x 2.008 * [backup-simplify]: Simplify 1.0 into 1.0 2.008 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.008 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.009 * [backup-simplify]: Simplify (+ 1 0) into 1 2.010 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.010 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.010 * [taylor]: Taking taylor expansion of x in x 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [backup-simplify]: Simplify (sqrt 0) into 0 2.011 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.012 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.013 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 2.014 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 2.018 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2.019 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.019 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.019 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.019 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.019 * [taylor]: Taking taylor expansion of x in x 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 1 into 1 2.019 * [taylor]: Taking taylor expansion of 1.0 in x 2.019 * [backup-simplify]: Simplify 1.0 into 1.0 2.019 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.019 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.020 * [backup-simplify]: Simplify (+ 1 0) into 1 2.021 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.021 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.022 * [backup-simplify]: Simplify (sqrt 0) into 0 2.023 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.023 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.024 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 2.025 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 2.030 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2.031 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 2.037 * [backup-simplify]: Simplify (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2.037 * [backup-simplify]: Simplify (+ 0 0) into 0 2.042 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.044 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.046 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 2.068 * [backup-simplify]: Simplify (/ (- (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (pow (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2) (+)) (* 2 (sqrt (sqrt 1.0)))) into (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))) 2.087 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))) into (* -1/2 (* (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (sqrt (/ 1 (sqrt 1.0))))) 2.122 * [backup-simplify]: Simplify (+ (* (* -1/2 (* (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (sqrt (/ 1 (sqrt 1.0))))) (pow x 2)) (+ (* (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) x) (sqrt (sqrt 1.0)))) into (- (+ (* 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (sqrt (sqrt 1.0))) (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (- (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))) (+ (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0))))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5)))))))))))) 2.122 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 2.123 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.123 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.123 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.123 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.123 * [taylor]: Taking taylor expansion of x in x 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (/ 1 1) into 1 2.123 * [backup-simplify]: Simplify (sqrt 0) into 0 2.125 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.125 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.125 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.125 * [taylor]: Taking taylor expansion of 1.0 in x 2.125 * [backup-simplify]: Simplify 1.0 into 1.0 2.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.125 * [taylor]: Taking taylor expansion of x in x 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (/ 1 1) into 1 2.125 * [backup-simplify]: Simplify (+ 0 1) into 1 2.126 * [backup-simplify]: Simplify (sqrt 0) into 0 2.127 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.127 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.128 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.131 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.132 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.134 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.135 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.137 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 2.137 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.137 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.137 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.137 * [taylor]: Taking taylor expansion of x in x 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (/ 1 1) into 1 2.137 * [backup-simplify]: Simplify (sqrt 0) into 0 2.138 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.138 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.138 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.139 * [taylor]: Taking taylor expansion of 1.0 in x 2.139 * [backup-simplify]: Simplify 1.0 into 1.0 2.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.139 * [taylor]: Taking taylor expansion of x in x 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (/ 1 1) into 1 2.139 * [backup-simplify]: Simplify (+ 0 1) into 1 2.140 * [backup-simplify]: Simplify (sqrt 0) into 0 2.141 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.141 * [backup-simplify]: Simplify (+ 0 0) into 0 2.141 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.142 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.145 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.146 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.148 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.148 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.150 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 2.151 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.152 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (+ 0 0) into 0 2.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.160 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.164 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.170 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.177 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) 2.177 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 2.177 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.177 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.177 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.177 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.177 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.177 * [taylor]: Taking taylor expansion of -1 in x 2.177 * [backup-simplify]: Simplify -1 into -1 2.177 * [taylor]: Taking taylor expansion of x in x 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.178 * [backup-simplify]: Simplify (/ -1 1) into -1 2.178 * [backup-simplify]: Simplify (sqrt 0) into 0 2.179 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.179 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.179 * [taylor]: Taking taylor expansion of 1.0 in x 2.179 * [backup-simplify]: Simplify 1.0 into 1.0 2.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.179 * [taylor]: Taking taylor expansion of x in x 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (/ 1 1) into 1 2.180 * [backup-simplify]: Simplify (- 1) into -1 2.180 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.181 * [backup-simplify]: Simplify (sqrt 0) into 0 2.182 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.182 * [backup-simplify]: Simplify (+ 0 0) into 0 2.182 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.183 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 2.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.186 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (- 0) into 0 2.187 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.189 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.190 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.192 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 2.192 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.192 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.192 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.192 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.192 * [taylor]: Taking taylor expansion of -1 in x 2.192 * [backup-simplify]: Simplify -1 into -1 2.192 * [taylor]: Taking taylor expansion of x in x 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [backup-simplify]: Simplify (/ -1 1) into -1 2.193 * [backup-simplify]: Simplify (sqrt 0) into 0 2.194 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.194 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.194 * [taylor]: Taking taylor expansion of 1.0 in x 2.194 * [backup-simplify]: Simplify 1.0 into 1.0 2.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.194 * [taylor]: Taking taylor expansion of x in x 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (/ 1 1) into 1 2.194 * [backup-simplify]: Simplify (- 1) into -1 2.195 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.195 * [backup-simplify]: Simplify (sqrt 0) into 0 2.196 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.196 * [backup-simplify]: Simplify (+ 0 0) into 0 2.197 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.197 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 2.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.201 * [backup-simplify]: Simplify (- 0) into 0 2.202 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.204 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.204 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.206 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 2.207 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.207 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 2.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (- 0) into 0 2.220 * [backup-simplify]: Simplify (+ 0 0) into 0 2.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.224 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.228 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.234 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.241 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) 2.241 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.241 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) into (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 2.241 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.241 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.241 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.241 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.241 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.241 * [taylor]: Taking taylor expansion of x in x 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 1 into 1 2.241 * [taylor]: Taking taylor expansion of 1.0 in x 2.241 * [backup-simplify]: Simplify 1.0 into 1.0 2.242 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.242 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.242 * [backup-simplify]: Simplify (+ 1 0) into 1 2.244 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.244 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.244 * [taylor]: Taking taylor expansion of x in x 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.244 * [backup-simplify]: Simplify (sqrt 0) into 0 2.245 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.246 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.246 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 2.248 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 2.252 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2.252 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.252 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.252 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.252 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.252 * [taylor]: Taking taylor expansion of x in x 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify 1 into 1 2.252 * [taylor]: Taking taylor expansion of 1.0 in x 2.252 * [backup-simplify]: Simplify 1.0 into 1.0 2.253 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.253 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.253 * [backup-simplify]: Simplify (+ 1 0) into 1 2.255 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.255 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.255 * [taylor]: Taking taylor expansion of x in x 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 1 into 1 2.255 * [backup-simplify]: Simplify (sqrt 0) into 0 2.256 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.257 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.257 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 2.259 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 2.263 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2.264 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 2.270 * [backup-simplify]: Simplify (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2.270 * [backup-simplify]: Simplify (+ 0 0) into 0 2.274 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.277 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.279 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 2.298 * [backup-simplify]: Simplify (/ (- (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (pow (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2) (+)) (* 2 (sqrt (sqrt 1.0)))) into (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))) 2.315 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))) into (* -1/2 (* (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (sqrt (/ 1 (sqrt 1.0))))) 2.351 * [backup-simplify]: Simplify (+ (* (* -1/2 (* (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (sqrt (/ 1 (sqrt 1.0))))) (pow x 2)) (+ (* (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) x) (sqrt (sqrt 1.0)))) into (- (+ (* 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (sqrt (sqrt 1.0))) (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (- (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))) (+ (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0))))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5)))))))))))) 2.351 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 2.351 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.351 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.351 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.351 * [taylor]: Taking taylor expansion of x in x 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 1 into 1 2.352 * [backup-simplify]: Simplify (/ 1 1) into 1 2.352 * [backup-simplify]: Simplify (sqrt 0) into 0 2.353 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.353 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.353 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.353 * [taylor]: Taking taylor expansion of 1.0 in x 2.353 * [backup-simplify]: Simplify 1.0 into 1.0 2.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.353 * [taylor]: Taking taylor expansion of x in x 2.353 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify 1 into 1 2.354 * [backup-simplify]: Simplify (/ 1 1) into 1 2.354 * [backup-simplify]: Simplify (+ 0 1) into 1 2.354 * [backup-simplify]: Simplify (sqrt 0) into 0 2.355 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.356 * [backup-simplify]: Simplify (+ 0 0) into 0 2.356 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.357 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 2.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.363 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.363 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.365 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 2.365 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.365 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.365 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.365 * [taylor]: Taking taylor expansion of x in x 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 1 into 1 2.366 * [backup-simplify]: Simplify (/ 1 1) into 1 2.366 * [backup-simplify]: Simplify (sqrt 0) into 0 2.367 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.367 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.367 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.367 * [taylor]: Taking taylor expansion of 1.0 in x 2.367 * [backup-simplify]: Simplify 1.0 into 1.0 2.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.368 * [backup-simplify]: Simplify (/ 1 1) into 1 2.368 * [backup-simplify]: Simplify (+ 0 1) into 1 2.368 * [backup-simplify]: Simplify (sqrt 0) into 0 2.369 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.370 * [backup-simplify]: Simplify (+ 0 0) into 0 2.370 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.371 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 2.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.374 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.375 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.378 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.378 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.380 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 2.380 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.381 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 2.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.386 * [backup-simplify]: Simplify (+ 0 0) into 0 2.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.389 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.393 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.399 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.406 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) 2.406 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 2.406 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.406 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.407 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.407 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.407 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.407 * [taylor]: Taking taylor expansion of -1 in x 2.407 * [backup-simplify]: Simplify -1 into -1 2.407 * [taylor]: Taking taylor expansion of x in x 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 1 into 1 2.407 * [backup-simplify]: Simplify (/ -1 1) into -1 2.407 * [backup-simplify]: Simplify (sqrt 0) into 0 2.408 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.408 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.408 * [taylor]: Taking taylor expansion of 1.0 in x 2.409 * [backup-simplify]: Simplify 1.0 into 1.0 2.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.409 * [taylor]: Taking taylor expansion of x in x 2.409 * [backup-simplify]: Simplify 0 into 0 2.409 * [backup-simplify]: Simplify 1 into 1 2.409 * [backup-simplify]: Simplify (/ 1 1) into 1 2.409 * [backup-simplify]: Simplify (- 1) into -1 2.410 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.410 * [backup-simplify]: Simplify (sqrt 0) into 0 2.411 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.411 * [backup-simplify]: Simplify (+ 0 0) into 0 2.412 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.412 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 2.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.415 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.416 * [backup-simplify]: Simplify (- 0) into 0 2.416 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.419 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.419 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.421 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 2.421 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.421 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.421 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.421 * [taylor]: Taking taylor expansion of -1 in x 2.421 * [backup-simplify]: Simplify -1 into -1 2.421 * [taylor]: Taking taylor expansion of x in x 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 1 into 1 2.422 * [backup-simplify]: Simplify (/ -1 1) into -1 2.423 * [backup-simplify]: Simplify (sqrt 0) into 0 2.424 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.424 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.424 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.424 * [taylor]: Taking taylor expansion of 1.0 in x 2.424 * [backup-simplify]: Simplify 1.0 into 1.0 2.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.424 * [taylor]: Taking taylor expansion of x in x 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 1 into 1 2.424 * [backup-simplify]: Simplify (/ 1 1) into 1 2.425 * [backup-simplify]: Simplify (- 1) into -1 2.425 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.425 * [backup-simplify]: Simplify (sqrt 0) into 0 2.427 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.427 * [backup-simplify]: Simplify (+ 0 0) into 0 2.427 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.428 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 2.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.431 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.432 * [backup-simplify]: Simplify (- 0) into 0 2.432 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.435 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.435 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.437 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 2.437 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.438 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 2.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.443 * [backup-simplify]: Simplify (- 0) into 0 2.443 * [backup-simplify]: Simplify (+ 0 0) into 0 2.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.446 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.459 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.465 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.472 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) 2.472 * * * [progress]: simplifying candidates 2.476 * [simplify]: Simplifying: (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 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(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (sqrt (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))))) (/ 1.0 (* (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))))) (/ 1.0 (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))))) (/ 1.0 (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))))) (/ 1.0 (* (sqrt (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (* (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (sqrt 1)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (sqrt 1)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (sqrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (/ 1 2) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) 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(pow (sqrt 1.0) 5)))))))))))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) (- (+ (* 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (sqrt (sqrt 1.0))) (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (- (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))) (+ (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0))))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5)))))))))))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) 2.477 * [simplify]: Sending expressions to egg_math: (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (+ h0 h1)) (sqrt h0))) (* (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (* (+ (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (+ h0 h1)) (sqrt h0))) (+ 1 1) (+ (log (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (log (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))))) (log (* (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))))) (exp (* (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))))) (* (* (* (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (* (* (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))))) (* (cbrt (* (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt 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(* 3/32 (* (pow h0 2) (sqrt (/ 1 (pow (sqrt h1) 7))))) (+ (* h2 (* h0 (sqrt (/ 1 (sqrt h1))))) (- (+ (* h2 (* (pow h0 2) (sqrt (/ 1 (sqrt h1))))) (- (* h2 (* (pow h0 2) (sqrt (/ 1 (pow (sqrt h1) 5)))))))))))) (- (sqrt h2) (+ (* h2 (/ 1 (* (sqrt h2) h0))) (- (+ (* h2 (/ 1 (* (pow (sqrt h2) 3) (pow h0 2)))) (- (* h2 (/ 1 (* (sqrt h2) (pow h0 2))))))))) (- (sqrt h2) (+ (* h2 (/ 1 (* (sqrt h2) h0))) (- (+ (* h2 (/ 1 (* (pow (sqrt h2) 3) (pow h0 2)))) (- (* h2 (/ 1 (* (sqrt h2) (pow h0 2))))))))) 2.533 * * * [progress]: adding candidates to table 2.949 * * [progress]: iteration 4 / 4 2.949 * * * [progress]: picking best candidate 2.986 * * * * [pick]: Picked # 2.987 * * * [progress]: localizing error 3.008 * * * [progress]: generating rewritten candidates 3.008 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.233 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 3.302 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.378 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.468 * * * [progress]: generating series expansions 3.468 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.468 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) into (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) 3.468 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.468 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.468 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.468 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.468 * [taylor]: Taking taylor expansion of 1.0 in x 3.468 * [backup-simplify]: Simplify 1.0 into 1.0 3.469 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.469 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.470 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.470 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.470 * [taylor]: Taking taylor expansion of x in x 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.470 * [taylor]: Taking taylor expansion of 1.0 in x 3.470 * [backup-simplify]: Simplify 1.0 into 1.0 3.470 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.470 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.471 * [backup-simplify]: Simplify (+ 1 0) into 1 3.472 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.472 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.472 * [taylor]: Taking taylor expansion of x in x 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify 1 into 1 3.472 * [backup-simplify]: Simplify (sqrt 0) into 0 3.473 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.474 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.474 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.476 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (sqrt 1.0)) into (sqrt 1.0) 3.476 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.476 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.476 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.476 * [taylor]: Taking taylor expansion of 1.0 in x 3.476 * [backup-simplify]: Simplify 1.0 into 1.0 3.476 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.477 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.477 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.477 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.477 * [taylor]: Taking taylor expansion of x in x 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify 1 into 1 3.477 * [taylor]: Taking taylor expansion of 1.0 in x 3.477 * [backup-simplify]: Simplify 1.0 into 1.0 3.477 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.477 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.478 * [backup-simplify]: Simplify (+ 1 0) into 1 3.478 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.479 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.479 * [taylor]: Taking taylor expansion of x in x 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify 1 into 1 3.479 * [backup-simplify]: Simplify (sqrt 0) into 0 3.480 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.480 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.481 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.482 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (sqrt 1.0)) into (sqrt 1.0) 3.482 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.483 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 3.484 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.489 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (sqrt 1.0) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) 3.492 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) into (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) 3.493 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.493 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 3.493 * [backup-simplify]: Simplify (+ 0 0) into 0 3.497 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.498 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.500 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 3.516 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (sqrt 1.0) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0))))) 3.525 * [backup-simplify]: Simplify (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0))))) into (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) 3.537 * [backup-simplify]: Simplify (+ (* (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (pow x 2)) (+ (* (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 3/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 1/2 (/ x (sqrt 1.0))) (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (* +nan.0 x)))))))) 3.538 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))))) into (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 3.538 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 3.538 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.538 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.538 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [backup-simplify]: Simplify 1.0 into 1.0 3.538 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.539 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.539 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.539 * [taylor]: Taking taylor expansion of x in x 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify 1 into 1 3.539 * [backup-simplify]: Simplify (/ 1 1) into 1 3.539 * [backup-simplify]: Simplify (sqrt 0) into 0 3.540 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.540 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.540 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.540 * [taylor]: Taking taylor expansion of 1.0 in x 3.540 * [backup-simplify]: Simplify 1.0 into 1.0 3.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.540 * [taylor]: Taking taylor expansion of x in x 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify 1 into 1 3.540 * [backup-simplify]: Simplify (/ 1 1) into 1 3.541 * [backup-simplify]: Simplify (+ 0 1) into 1 3.541 * [backup-simplify]: Simplify (sqrt 0) into 0 3.542 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.542 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.543 * [backup-simplify]: Simplify (+ 0 0) into 0 3.543 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.551 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.551 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.551 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.551 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.551 * [taylor]: Taking taylor expansion of 1.0 in x 3.551 * [backup-simplify]: Simplify 1.0 into 1.0 3.552 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.552 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.552 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.552 * [taylor]: Taking taylor expansion of x in x 3.552 * [backup-simplify]: Simplify 0 into 0 3.552 * [backup-simplify]: Simplify 1 into 1 3.553 * [backup-simplify]: Simplify (/ 1 1) into 1 3.553 * [backup-simplify]: Simplify (sqrt 0) into 0 3.554 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.554 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.554 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.554 * [taylor]: Taking taylor expansion of 1.0 in x 3.554 * [backup-simplify]: Simplify 1.0 into 1.0 3.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.554 * [taylor]: Taking taylor expansion of x in x 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 1 into 1 3.554 * [backup-simplify]: Simplify (/ 1 1) into 1 3.554 * [backup-simplify]: Simplify (+ 0 1) into 1 3.554 * [backup-simplify]: Simplify (sqrt 0) into 0 3.555 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.556 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.556 * [backup-simplify]: Simplify (+ 0 0) into 0 3.556 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.558 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.559 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 1.0) 2)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.559 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 3.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.561 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.562 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.564 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.564 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.568 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ (- +nan.0) (- +nan.0))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.570 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.570 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.571 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 3.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.575 * [backup-simplify]: Simplify (+ 0 0) into 0 3.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.577 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.585 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ (- +nan.0) (- +nan.0))) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ (- +nan.0) (- +nan.0))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.586 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.590 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 x)) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) x)) (- (* +nan.0 (pow (sqrt 1.0) 2))))))) 3.591 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))))) into (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 3.591 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.591 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.591 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.591 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.591 * [taylor]: Taking taylor expansion of 1.0 in x 3.591 * [backup-simplify]: Simplify 1.0 into 1.0 3.591 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.591 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.592 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.592 * [taylor]: Taking taylor expansion of -1 in x 3.592 * [backup-simplify]: Simplify -1 into -1 3.592 * [taylor]: Taking taylor expansion of x in x 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [backup-simplify]: Simplify (/ -1 1) into -1 3.592 * [backup-simplify]: Simplify (sqrt 0) into 0 3.593 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.593 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.593 * [taylor]: Taking taylor expansion of 1.0 in x 3.593 * [backup-simplify]: Simplify 1.0 into 1.0 3.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.593 * [taylor]: Taking taylor expansion of x in x 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify 1 into 1 3.593 * [backup-simplify]: Simplify (/ 1 1) into 1 3.594 * [backup-simplify]: Simplify (- 1) into -1 3.594 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.594 * [backup-simplify]: Simplify (sqrt 0) into 0 3.595 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.595 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.596 * [backup-simplify]: Simplify (+ 0 0) into 0 3.596 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.597 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.597 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.597 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.597 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.597 * [taylor]: Taking taylor expansion of 1.0 in x 3.597 * [backup-simplify]: Simplify 1.0 into 1.0 3.598 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.598 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.598 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.598 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.598 * [taylor]: Taking taylor expansion of -1 in x 3.598 * [backup-simplify]: Simplify -1 into -1 3.598 * [taylor]: Taking taylor expansion of x in x 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify 1 into 1 3.598 * [backup-simplify]: Simplify (/ -1 1) into -1 3.599 * [backup-simplify]: Simplify (sqrt 0) into 0 3.599 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.599 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.599 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.599 * [taylor]: Taking taylor expansion of 1.0 in x 3.600 * [backup-simplify]: Simplify 1.0 into 1.0 3.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.600 * [taylor]: Taking taylor expansion of x in x 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify 1 into 1 3.600 * [backup-simplify]: Simplify (/ 1 1) into 1 3.600 * [backup-simplify]: Simplify (- 1) into -1 3.600 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.601 * [backup-simplify]: Simplify (sqrt 0) into 0 3.601 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.602 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.602 * [backup-simplify]: Simplify (+ 0 0) into 0 3.602 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.604 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.605 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 1.0) 2)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.605 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 3.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.607 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.608 * [backup-simplify]: Simplify (- 0) into 0 3.608 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.610 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.610 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.614 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ (- +nan.0) (- +nan.0))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.616 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.617 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 3.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.621 * [backup-simplify]: Simplify (- 0) into 0 3.621 * [backup-simplify]: Simplify (+ 0 0) into 0 3.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.624 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.631 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ (- +nan.0) (- +nan.0))) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ (- +nan.0) (- +nan.0))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.639 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.643 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 (- x))) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) x)) (- (* +nan.0 (pow (sqrt 1.0) 2))))))) 3.643 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.643 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3.643 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.643 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.643 * [taylor]: Taking taylor expansion of 1.0 in x 3.643 * [backup-simplify]: Simplify 1.0 into 1.0 3.643 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.643 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.643 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.643 * [taylor]: Taking taylor expansion of x in x 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify 1 into 1 3.643 * [taylor]: Taking taylor expansion of 1.0 in x 3.643 * [backup-simplify]: Simplify 1.0 into 1.0 3.644 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.644 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.644 * [backup-simplify]: Simplify (+ 1 0) into 1 3.645 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.645 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.645 * [taylor]: Taking taylor expansion of x in x 3.645 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify 1 into 1 3.645 * [backup-simplify]: Simplify (sqrt 0) into 0 3.646 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.647 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.647 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.647 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.647 * [taylor]: Taking taylor expansion of 1.0 in x 3.647 * [backup-simplify]: Simplify 1.0 into 1.0 3.647 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.647 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.647 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.647 * [taylor]: Taking taylor expansion of x in x 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 1 into 1 3.647 * [taylor]: Taking taylor expansion of 1.0 in x 3.647 * [backup-simplify]: Simplify 1.0 into 1.0 3.648 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.648 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.648 * [backup-simplify]: Simplify (+ 1 0) into 1 3.649 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.649 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.649 * [taylor]: Taking taylor expansion of x in x 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [backup-simplify]: Simplify (sqrt 0) into 0 3.650 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.651 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.651 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.652 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.653 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.659 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 3.664 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 3.664 * [backup-simplify]: Simplify (+ 0 0) into 0 3.667 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.669 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.671 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 3.693 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 3.706 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 3.735 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) 3.735 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 3.735 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 3.735 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.735 * [taylor]: Taking taylor expansion of 1.0 in x 3.735 * [backup-simplify]: Simplify 1.0 into 1.0 3.735 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.735 * [taylor]: Taking taylor expansion of x in x 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 1 into 1 3.736 * [backup-simplify]: Simplify (/ 1 1) into 1 3.736 * [backup-simplify]: Simplify (sqrt 0) into 0 3.737 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.737 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.737 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.737 * [taylor]: Taking taylor expansion of 1.0 in x 3.737 * [backup-simplify]: Simplify 1.0 into 1.0 3.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.737 * [taylor]: Taking taylor expansion of x in x 3.737 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify 1 into 1 3.737 * [backup-simplify]: Simplify (/ 1 1) into 1 3.738 * [backup-simplify]: Simplify (+ 0 1) into 1 3.738 * [backup-simplify]: Simplify (sqrt 0) into 0 3.739 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.739 * [backup-simplify]: Simplify (+ 0 0) into 0 3.739 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.740 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.740 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.740 * [taylor]: Taking taylor expansion of 1.0 in x 3.740 * [backup-simplify]: Simplify 1.0 into 1.0 3.740 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.740 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.740 * [taylor]: Taking taylor expansion of x in x 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 1 into 1 3.740 * [backup-simplify]: Simplify (/ 1 1) into 1 3.740 * [backup-simplify]: Simplify (sqrt 0) into 0 3.741 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.741 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.741 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.741 * [taylor]: Taking taylor expansion of 1.0 in x 3.741 * [backup-simplify]: Simplify 1.0 into 1.0 3.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.741 * [taylor]: Taking taylor expansion of x in x 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (/ 1 1) into 1 3.742 * [backup-simplify]: Simplify (+ 0 1) into 1 3.742 * [backup-simplify]: Simplify (sqrt 0) into 0 3.743 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.743 * [backup-simplify]: Simplify (+ 0 0) into 0 3.743 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.744 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.744 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.747 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.748 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.749 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.751 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.751 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.755 * [backup-simplify]: Simplify (+ 0 0) into 0 3.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.757 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.760 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.761 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.761 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.761 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 3.761 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.761 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.762 * [taylor]: Taking taylor expansion of 1.0 in x 3.762 * [backup-simplify]: Simplify 1.0 into 1.0 3.762 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.762 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.762 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.762 * [taylor]: Taking taylor expansion of -1 in x 3.762 * [backup-simplify]: Simplify -1 into -1 3.762 * [taylor]: Taking taylor expansion of x in x 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 1 into 1 3.762 * [backup-simplify]: Simplify (/ -1 1) into -1 3.762 * [backup-simplify]: Simplify (sqrt 0) into 0 3.763 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.763 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.763 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.763 * [taylor]: Taking taylor expansion of 1.0 in x 3.763 * [backup-simplify]: Simplify 1.0 into 1.0 3.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.763 * [taylor]: Taking taylor expansion of x in x 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 1 into 1 3.763 * [backup-simplify]: Simplify (/ 1 1) into 1 3.764 * [backup-simplify]: Simplify (- 1) into -1 3.764 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.764 * [backup-simplify]: Simplify (sqrt 0) into 0 3.765 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.765 * [backup-simplify]: Simplify (+ 0 0) into 0 3.765 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.766 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.766 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.766 * [taylor]: Taking taylor expansion of 1.0 in x 3.766 * [backup-simplify]: Simplify 1.0 into 1.0 3.766 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.766 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.766 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.766 * [taylor]: Taking taylor expansion of -1 in x 3.766 * [backup-simplify]: Simplify -1 into -1 3.766 * [taylor]: Taking taylor expansion of x in x 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (/ -1 1) into -1 3.767 * [backup-simplify]: Simplify (sqrt 0) into 0 3.767 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.767 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.767 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.767 * [taylor]: Taking taylor expansion of 1.0 in x 3.767 * [backup-simplify]: Simplify 1.0 into 1.0 3.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.768 * [taylor]: Taking taylor expansion of x in x 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify (/ 1 1) into 1 3.768 * [backup-simplify]: Simplify (- 1) into -1 3.768 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.769 * [backup-simplify]: Simplify (sqrt 0) into 0 3.769 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.770 * [backup-simplify]: Simplify (+ 0 0) into 0 3.770 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.770 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.770 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.773 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.773 * [backup-simplify]: Simplify (- 0) into 0 3.774 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.775 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.776 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.778 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.778 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.781 * [backup-simplify]: Simplify (- 0) into 0 3.782 * [backup-simplify]: Simplify (+ 0 0) into 0 3.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.784 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.788 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.788 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.789 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.789 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.789 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3.789 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.789 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.789 * [taylor]: Taking taylor expansion of 1.0 in x 3.789 * [backup-simplify]: Simplify 1.0 into 1.0 3.789 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.789 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.789 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.789 * [taylor]: Taking taylor expansion of x in x 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [taylor]: Taking taylor expansion of 1.0 in x 3.789 * [backup-simplify]: Simplify 1.0 into 1.0 3.789 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.790 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.790 * [backup-simplify]: Simplify (+ 1 0) into 1 3.791 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.791 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.791 * [taylor]: Taking taylor expansion of x in x 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify 1 into 1 3.791 * [backup-simplify]: Simplify (sqrt 0) into 0 3.792 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.792 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.793 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.793 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.793 * [taylor]: Taking taylor expansion of 1.0 in x 3.793 * [backup-simplify]: Simplify 1.0 into 1.0 3.793 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.793 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.793 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.793 * [taylor]: Taking taylor expansion of x in x 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify 1 into 1 3.793 * [taylor]: Taking taylor expansion of 1.0 in x 3.793 * [backup-simplify]: Simplify 1.0 into 1.0 3.793 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.794 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.794 * [backup-simplify]: Simplify (+ 1 0) into 1 3.795 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.795 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.795 * [taylor]: Taking taylor expansion of x in x 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 1 into 1 3.795 * [backup-simplify]: Simplify (sqrt 0) into 0 3.796 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.797 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.797 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.798 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.799 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.805 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 3.811 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 3.812 * [backup-simplify]: Simplify (+ 0 0) into 0 3.822 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.824 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.826 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 3.856 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 3.870 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 3.890 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) 3.890 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 3.890 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 3.890 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.890 * [taylor]: Taking taylor expansion of 1.0 in x 3.890 * [backup-simplify]: Simplify 1.0 into 1.0 3.890 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.890 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.890 * [taylor]: Taking taylor expansion of x in x 3.891 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify 1 into 1 3.891 * [backup-simplify]: Simplify (/ 1 1) into 1 3.891 * [backup-simplify]: Simplify (sqrt 0) into 0 3.892 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.892 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.892 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.892 * [taylor]: Taking taylor expansion of 1.0 in x 3.892 * [backup-simplify]: Simplify 1.0 into 1.0 3.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.892 * [taylor]: Taking taylor expansion of x in x 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 1 into 1 3.892 * [backup-simplify]: Simplify (/ 1 1) into 1 3.893 * [backup-simplify]: Simplify (+ 0 1) into 1 3.893 * [backup-simplify]: Simplify (sqrt 0) into 0 3.894 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.894 * [backup-simplify]: Simplify (+ 0 0) into 0 3.894 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.895 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.895 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.895 * [taylor]: Taking taylor expansion of 1.0 in x 3.895 * [backup-simplify]: Simplify 1.0 into 1.0 3.895 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.895 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.895 * [taylor]: Taking taylor expansion of x in x 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify 1 into 1 3.895 * [backup-simplify]: Simplify (/ 1 1) into 1 3.895 * [backup-simplify]: Simplify (sqrt 0) into 0 3.896 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.896 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.896 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.896 * [taylor]: Taking taylor expansion of 1.0 in x 3.896 * [backup-simplify]: Simplify 1.0 into 1.0 3.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.896 * [taylor]: Taking taylor expansion of x in x 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.897 * [backup-simplify]: Simplify (/ 1 1) into 1 3.897 * [backup-simplify]: Simplify (+ 0 1) into 1 3.897 * [backup-simplify]: Simplify (sqrt 0) into 0 3.899 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.899 * [backup-simplify]: Simplify (+ 0 0) into 0 3.899 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.900 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.900 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.902 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.903 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.904 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.905 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.907 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.907 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.910 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.918 * [backup-simplify]: Simplify (+ 0 0) into 0 3.921 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.921 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.925 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.925 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.926 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.926 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 3.926 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.926 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.926 * [taylor]: Taking taylor expansion of 1.0 in x 3.926 * [backup-simplify]: Simplify 1.0 into 1.0 3.926 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.926 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.926 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.926 * [taylor]: Taking taylor expansion of -1 in x 3.926 * [backup-simplify]: Simplify -1 into -1 3.926 * [taylor]: Taking taylor expansion of x in x 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 1 into 1 3.926 * [backup-simplify]: Simplify (/ -1 1) into -1 3.927 * [backup-simplify]: Simplify (sqrt 0) into 0 3.927 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.927 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.927 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.927 * [taylor]: Taking taylor expansion of 1.0 in x 3.927 * [backup-simplify]: Simplify 1.0 into 1.0 3.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.927 * [taylor]: Taking taylor expansion of x in x 3.927 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [backup-simplify]: Simplify (/ 1 1) into 1 3.928 * [backup-simplify]: Simplify (- 1) into -1 3.928 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.928 * [backup-simplify]: Simplify (sqrt 0) into 0 3.929 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.930 * [backup-simplify]: Simplify (+ 0 0) into 0 3.930 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.931 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.931 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.931 * [taylor]: Taking taylor expansion of 1.0 in x 3.931 * [backup-simplify]: Simplify 1.0 into 1.0 3.931 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.931 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.931 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.931 * [taylor]: Taking taylor expansion of -1 in x 3.931 * [backup-simplify]: Simplify -1 into -1 3.931 * [taylor]: Taking taylor expansion of x in x 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.932 * [backup-simplify]: Simplify (/ -1 1) into -1 3.932 * [backup-simplify]: Simplify (sqrt 0) into 0 3.934 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.934 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.934 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.934 * [taylor]: Taking taylor expansion of 1.0 in x 3.934 * [backup-simplify]: Simplify 1.0 into 1.0 3.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.934 * [taylor]: Taking taylor expansion of x in x 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.934 * [backup-simplify]: Simplify (/ 1 1) into 1 3.935 * [backup-simplify]: Simplify (- 1) into -1 3.935 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.935 * [backup-simplify]: Simplify (sqrt 0) into 0 3.937 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.937 * [backup-simplify]: Simplify (+ 0 0) into 0 3.937 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.938 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.938 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.940 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.941 * [backup-simplify]: Simplify (- 0) into 0 3.941 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.943 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.943 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.945 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.945 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.950 * [backup-simplify]: Simplify (- 0) into 0 3.950 * [backup-simplify]: Simplify (+ 0 0) into 0 3.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.954 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.959 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.959 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.960 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.961 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.961 * [backup-simplify]: Simplify (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) into (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) 3.961 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 3.961 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 3.961 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.961 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.961 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.961 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.961 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.961 * [taylor]: Taking taylor expansion of x in x 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify 1 into 1 3.961 * [taylor]: Taking taylor expansion of 1.0 in x 3.961 * [backup-simplify]: Simplify 1.0 into 1.0 3.962 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.962 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.962 * [backup-simplify]: Simplify (+ 1 0) into 1 3.964 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.964 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.964 * [taylor]: Taking taylor expansion of x in x 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 1 into 1 3.964 * [backup-simplify]: Simplify (sqrt 0) into 0 3.965 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.966 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.967 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 3.968 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 3.970 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) 3.989 * [backup-simplify]: Simplify (/ (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))))) 3.990 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.990 * [taylor]: Taking taylor expansion of 1.0 in x 3.990 * [backup-simplify]: Simplify 1.0 into 1.0 3.990 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.991 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 3.991 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.991 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.991 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.991 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.991 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.991 * [taylor]: Taking taylor expansion of x in x 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 1 into 1 3.991 * [taylor]: Taking taylor expansion of 1.0 in x 3.991 * [backup-simplify]: Simplify 1.0 into 1.0 3.991 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.992 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.992 * [backup-simplify]: Simplify (+ 1 0) into 1 3.993 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.994 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.994 * [taylor]: Taking taylor expansion of x in x 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 1 into 1 3.994 * [backup-simplify]: Simplify (sqrt 0) into 0 3.995 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.996 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.997 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 3.998 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 3.999 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 4.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) 4.019 * [backup-simplify]: Simplify (/ (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))))) 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 4.020 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.023 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 1.0))) (sqrt 1.0)) into (sqrt (sqrt 1.0)) 4.023 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 4.050 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 1.0))) 0) (* (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))))) (sqrt 1.0))) into (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) 4.059 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) into (- (+ (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (sqrt 1.0))))))) 4.060 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.060 * [backup-simplify]: Simplify (+ 0 0) into 0 4.065 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.068 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.071 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 4.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 4.144 * [backup-simplify]: Simplify (/ (- (- (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) (pow (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))))) 2) (+)) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* 1/2 (* (sqrt (sqrt 1.0)) (- (* 5/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))))) 4.213 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 1.0))) 0) (+ (* (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))))) 0) (* (* 1/2 (* (sqrt (sqrt 1.0)) (- (* 5/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))))) (sqrt 1.0)))) into (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5)))) (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3))))))))) 4.231 * [backup-simplify]: Simplify (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5)))) (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3))))))))) into (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (sqrt 1.0))))))))) 4.264 * [backup-simplify]: Simplify (+ (* (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (sqrt 1.0))))))))) (pow x 2)) (+ (* (- (+ (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (sqrt 1.0))))))) x) (sqrt (sqrt 1.0)))) into (- (+ (* 5/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))) (sqrt (sqrt 1.0))) (+ (* 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (- (+ (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0))))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5)))))))))))))) 4.265 * [backup-simplify]: Simplify (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) into (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) 4.265 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 4.265 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 4.265 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 4.265 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 4.265 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 4.265 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.265 * [taylor]: Taking taylor expansion of x in x 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify 1 into 1 4.265 * [backup-simplify]: Simplify (/ 1 1) into 1 4.266 * [backup-simplify]: Simplify (sqrt 0) into 0 4.267 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.267 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.267 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.267 * [taylor]: Taking taylor expansion of 1.0 in x 4.267 * [backup-simplify]: Simplify 1.0 into 1.0 4.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.267 * [taylor]: Taking taylor expansion of x in x 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 1 into 1 4.267 * [backup-simplify]: Simplify (/ 1 1) into 1 4.268 * [backup-simplify]: Simplify (+ 0 1) into 1 4.268 * [backup-simplify]: Simplify (sqrt 0) into 0 4.269 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.269 * [backup-simplify]: Simplify (+ 0 0) into 0 4.270 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.270 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 4.271 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 4.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.274 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.275 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.277 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.277 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.286 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.288 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 4.288 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.288 * [taylor]: Taking taylor expansion of 1.0 in x 4.288 * [backup-simplify]: Simplify 1.0 into 1.0 4.288 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.289 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 4.289 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 4.289 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 4.289 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 4.289 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.289 * [taylor]: Taking taylor expansion of x in x 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [backup-simplify]: Simplify (/ 1 1) into 1 4.290 * [backup-simplify]: Simplify (sqrt 0) into 0 4.291 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.291 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.291 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.291 * [taylor]: Taking taylor expansion of 1.0 in x 4.291 * [backup-simplify]: Simplify 1.0 into 1.0 4.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.291 * [taylor]: Taking taylor expansion of x in x 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify (/ 1 1) into 1 4.292 * [backup-simplify]: Simplify (+ 0 1) into 1 4.292 * [backup-simplify]: Simplify (sqrt 0) into 0 4.293 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.293 * [backup-simplify]: Simplify (+ 0 0) into 0 4.294 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.294 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 4.295 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 4.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.298 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.299 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.301 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.301 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.304 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.306 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 4.306 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.306 * [taylor]: Taking taylor expansion of 1.0 in x 4.306 * [backup-simplify]: Simplify 1.0 into 1.0 4.306 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.308 * [backup-simplify]: Simplify (* (sqrt +nan.0) (sqrt 1.0)) into (* (sqrt +nan.0) (sqrt 1.0)) 4.309 * [backup-simplify]: Simplify (* (sqrt +nan.0) (sqrt 1.0)) into (* (sqrt +nan.0) (sqrt 1.0)) 4.312 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (* (/ +nan.0 (sqrt +nan.0)) (sqrt 1.0))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 4.314 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 4.315 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.320 * [backup-simplify]: Simplify (+ 0 0) into 0 4.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.323 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.327 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.332 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 4.341 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (+ (* (/ +nan.0 (sqrt +nan.0)) 0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt 1.0)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 4.347 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 4.355 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) (/ 1 x)) (* (sqrt +nan.0) (sqrt 1.0)))) into (- (* (sqrt +nan.0) (sqrt 1.0)) (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2)))) (- (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) x))) (- (* +nan.0 (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2))))))))) 4.355 * [backup-simplify]: Simplify (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) into (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) 4.355 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 4.355 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 4.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 4.355 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 4.355 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.355 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.355 * [taylor]: Taking taylor expansion of -1 in x 4.355 * [backup-simplify]: Simplify -1 into -1 4.355 * [taylor]: Taking taylor expansion of x in x 4.355 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify 1 into 1 4.356 * [backup-simplify]: Simplify (/ -1 1) into -1 4.356 * [backup-simplify]: Simplify (sqrt 0) into 0 4.357 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.357 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.357 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.357 * [taylor]: Taking taylor expansion of 1.0 in x 4.357 * [backup-simplify]: Simplify 1.0 into 1.0 4.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.357 * [taylor]: Taking taylor expansion of x in x 4.357 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify 1 into 1 4.357 * [backup-simplify]: Simplify (/ 1 1) into 1 4.358 * [backup-simplify]: Simplify (- 1) into -1 4.358 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.358 * [backup-simplify]: Simplify (sqrt 0) into 0 4.359 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.359 * [backup-simplify]: Simplify (+ 0 0) into 0 4.359 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.360 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 4.360 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 4.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.363 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.364 * [backup-simplify]: Simplify (- 0) into 0 4.364 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.367 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.367 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.370 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.371 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 4.371 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.371 * [taylor]: Taking taylor expansion of 1.0 in x 4.371 * [backup-simplify]: Simplify 1.0 into 1.0 4.372 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.372 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 4.372 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 4.372 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 4.372 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.372 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.372 * [taylor]: Taking taylor expansion of -1 in x 4.372 * [backup-simplify]: Simplify -1 into -1 4.372 * [taylor]: Taking taylor expansion of x in x 4.372 * [backup-simplify]: Simplify 0 into 0 4.372 * [backup-simplify]: Simplify 1 into 1 4.373 * [backup-simplify]: Simplify (/ -1 1) into -1 4.373 * [backup-simplify]: Simplify (sqrt 0) into 0 4.374 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.374 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.374 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.374 * [taylor]: Taking taylor expansion of 1.0 in x 4.374 * [backup-simplify]: Simplify 1.0 into 1.0 4.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.374 * [taylor]: Taking taylor expansion of x in x 4.374 * [backup-simplify]: Simplify 0 into 0 4.374 * [backup-simplify]: Simplify 1 into 1 4.375 * [backup-simplify]: Simplify (/ 1 1) into 1 4.375 * [backup-simplify]: Simplify (- 1) into -1 4.375 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.376 * [backup-simplify]: Simplify (sqrt 0) into 0 4.377 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.377 * [backup-simplify]: Simplify (+ 0 0) into 0 4.377 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.378 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 4.378 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 4.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.381 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.382 * [backup-simplify]: Simplify (- 0) into 0 4.383 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.393 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.394 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.396 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.398 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 4.398 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.398 * [taylor]: Taking taylor expansion of 1.0 in x 4.398 * [backup-simplify]: Simplify 1.0 into 1.0 4.398 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.400 * [backup-simplify]: Simplify (* (sqrt +nan.0) (sqrt 1.0)) into (* (sqrt +nan.0) (sqrt 1.0)) 4.401 * [backup-simplify]: Simplify (* (sqrt +nan.0) (sqrt 1.0)) into (* (sqrt +nan.0) (sqrt 1.0)) 4.404 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (* (/ +nan.0 (sqrt +nan.0)) (sqrt 1.0))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 4.407 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 4.408 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.413 * [backup-simplify]: Simplify (- 0) into 0 4.413 * [backup-simplify]: Simplify (+ 0 0) into 0 4.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.417 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.421 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.426 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 4.439 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (+ (* (/ +nan.0 (sqrt +nan.0)) 0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt 1.0)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 4.447 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 4.459 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) (/ 1 (- x))) (* (sqrt +nan.0) (sqrt 1.0)))) into (- (* (sqrt +nan.0) (sqrt 1.0)) (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2)))) (- (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) x))) (- (* +nan.0 (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2))))))))) 4.460 * * * [progress]: simplifying candidates 4.467 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(/ (sqrt h1) (* (sqrt h2) (pow h0 2)))) (- (+ (* h2 (/ (sqrt h1) (* (sqrt h2) h0))) (- (* h2 (/ (sqrt h1) (* (pow (sqrt h2) 3) (pow h0 2))))))))) 4.551 * * * [progress]: adding candidates to table 5.312 * [progress]: [Phase 3 of 3] Extracting. 5.312 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 5.316 * * * [regime-changes]: Trying 1 branch expressions: (x) 5.316 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 5.347 * * * [regime]: Found split indices: #