72.103 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying: (- (sqrt (+ x 1.0)) (sqrt x)) 0.053 * * [simplify]: iteration 0: 6 enodes 0.054 * * [simplify]: iteration 1: 9 enodes 0.055 * * [simplify]: iteration 2: 10 enodes 0.056 * * [simplify]: iteration complete: 10 enodes 0.056 * * [simplify]: Extracting #0: cost 1 inf + 0 0.056 * * [simplify]: Extracting #1: cost 4 inf + 0 0.056 * * [simplify]: Extracting #2: cost 6 inf + 0 0.056 * * [simplify]: Extracting #3: cost 6 inf + 1 0.057 * * [simplify]: Extracting #4: cost 0 inf + 410 0.057 * [simplify]: Simplified to: (- (sqrt (+ 1.0 x)) (sqrt x)) 0.057 * * [progress]: iteration 1 / 4 0.057 * * * [progress]: picking best candidate 0.060 * * * * [pick]: Picked # 0.061 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.152 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.171 * * * [progress]: generating series expansions 0.171 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.171 * [backup-simplify]: Simplify (- (sqrt (+ x 1.0)) (sqrt x)) into (- (sqrt (+ x 1.0)) (sqrt x)) 0.171 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.171 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.171 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.172 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.173 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.173 * [backup-simplify]: Simplify (+ 1 0) into 1 0.175 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.175 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (sqrt 0) into 0 0.177 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.177 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.177 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [backup-simplify]: Simplify 1.0 into 1.0 0.178 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.178 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.180 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.180 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (sqrt 0) into 0 0.182 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.184 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.184 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.186 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) (- +nan.0)) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.189 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.198 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.198 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.201 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) (- +nan.0)) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 0.207 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 0.216 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (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)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) 0.216 * [backup-simplify]: Simplify (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) 0.216 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in (x) around 0 0.216 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in x 0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [backup-simplify]: Simplify 1.0 into 1.0 0.217 * [backup-simplify]: Simplify (+ 1 0) into 1 0.218 * [backup-simplify]: Simplify (sqrt 0) into 0 0.219 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [backup-simplify]: Simplify (sqrt 0) into 0 0.221 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.221 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in x 0.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [backup-simplify]: Simplify 1.0 into 1.0 0.222 * [backup-simplify]: Simplify (+ 1 0) into 1 0.223 * [backup-simplify]: Simplify (sqrt 0) into 0 0.224 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [backup-simplify]: Simplify (sqrt 0) into 0 0.226 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.228 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.228 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.232 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.236 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.237 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.238 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.248 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.249 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.249 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.251 * [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))))) 0.251 * [backup-simplify]: Simplify (- (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) 0.251 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.251 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.251 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.251 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [backup-simplify]: Simplify 1.0 into 1.0 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [backup-simplify]: Simplify (- 1) into -1 0.252 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.253 * [backup-simplify]: Simplify (sqrt 0) into 0 0.254 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.254 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.254 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.254 * [taylor]: Taking taylor expansion of -1 in x 0.254 * [backup-simplify]: Simplify -1 into -1 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (/ -1 1) into -1 0.255 * [backup-simplify]: Simplify (sqrt 0) into 0 0.256 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.256 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.256 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.256 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.256 * [taylor]: Taking taylor expansion of 1.0 in x 0.256 * [backup-simplify]: Simplify 1.0 into 1.0 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify (- 1) into -1 0.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.258 * [backup-simplify]: Simplify (sqrt 0) into 0 0.259 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.259 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.259 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.259 * [taylor]: Taking taylor expansion of -1 in x 0.259 * [backup-simplify]: Simplify -1 into -1 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (/ -1 1) into -1 0.260 * [backup-simplify]: Simplify (sqrt 0) into 0 0.262 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.264 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.264 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.275 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.280 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.280 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.281 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.292 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.293 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.293 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.295 * [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))))) 0.295 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.295 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 0.295 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.295 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.295 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [backup-simplify]: Simplify 1.0 into 1.0 0.295 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.296 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.296 * [backup-simplify]: Simplify (+ 1 0) into 1 0.298 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.298 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.298 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [backup-simplify]: Simplify 1.0 into 1.0 0.299 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.299 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.299 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.301 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.302 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.309 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.312 * [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)))) 0.313 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ (/ 1 x) 1.0)) 0.313 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [taylor]: Taking taylor expansion of 1.0 in x 0.313 * [backup-simplify]: Simplify 1.0 into 1.0 0.314 * [backup-simplify]: Simplify (+ 1 0) into 1 0.314 * [backup-simplify]: Simplify (sqrt 0) into 0 0.315 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [backup-simplify]: Simplify 1.0 into 1.0 0.316 * [backup-simplify]: Simplify (+ 1 0) into 1 0.317 * [backup-simplify]: Simplify (sqrt 0) into 0 0.318 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.322 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.322 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.327 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.327 * [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))))) 0.327 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 0.327 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.327 * [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 (- 1) into -1 0.329 * [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 (- 1) into -1 0.331 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.332 * [backup-simplify]: Simplify (sqrt 0) into 0 0.333 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.337 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.337 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.343 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.343 * [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))))) 0.343 * * * [progress]: simplifying candidates 0.346 * [simplify]: Simplifying: (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma 1 (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (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)) (- (* (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)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (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)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +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))))) 0.350 * * [simplify]: iteration 0: 139 enodes 0.412 * * [simplify]: iteration 1: 322 enodes 0.520 * * [simplify]: iteration 2: 785 enodes 0.882 * * [simplify]: iteration 3: 2271 enodes 2.126 * * [simplify]: iteration complete: 5003 enodes 2.126 * * [simplify]: Extracting #0: cost 41 inf + 0 2.127 * * [simplify]: Extracting #1: cost 346 inf + 3 2.130 * * [simplify]: Extracting #2: cost 941 inf + 1604 2.140 * * [simplify]: Extracting #3: cost 877 inf + 42042 2.204 * * [simplify]: Extracting #4: cost 288 inf + 173611 2.283 * * [simplify]: Extracting #5: cost 72 inf + 242349 2.340 * * [simplify]: Extracting #6: cost 15 inf + 253660 2.413 * * [simplify]: Extracting #7: cost 3 inf + 255892 2.483 * * [simplify]: Extracting #8: cost 0 inf + 256771 2.554 * [simplify]: Simplified to: (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (sqrt x)) 0 (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (sqrt x)) 0 (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (sqrt x)) 0 (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (sqrt x)) 0 (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (expm1 (- (sqrt (+ 1.0 x)) (sqrt x))) (log1p (- (sqrt (+ 1.0 x)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ 1.0 x)) (sqrt x))) (log (- (sqrt (+ 1.0 x)) (sqrt x))) (exp (- (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (- (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (- (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (- (sqrt (+ 1.0 x)) (sqrt x))) (* (* (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (- (* (+ 1.0 x) (sqrt (+ 1.0 x))) (* x (sqrt x))) (fma (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt x) (+ 1.0 x)) (- (sqrt x)) (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt x)) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (+ 1.0 x) (sqrt (+ 1.0 x))) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (sqrt (fma (* 1.0 1.0) 1.0 (* x (* x x)))) (sqrt (fma 1.0 1.0 (* x (- x 1.0)))) (sqrt (* (+ 1.0 x) (- x 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (+ (fma (/ -1/8 1.0) (/ (* x x) (sqrt 1.0)) (* +nan.0 (- (* x x) x))) (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (fma +nan.0 (/ -1 (* x x)) (- (/ +nan.0 x) +nan.0)) (fma +nan.0 (/ -1 (* x x)) (- (/ +nan.0 x) +nan.0)) (fma (/ (/ x (/ 1.0 x)) (sqrt 1.0)) -1/8 (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (fma +nan.0 (/ -1 (* x x)) (- (/ +nan.0 x) +nan.0)) (fma +nan.0 (/ -1 (* x x)) (- (/ +nan.0 x) +nan.0)) 2.560 * * * [progress]: adding candidates to table 2.803 * * [progress]: iteration 2 / 4 2.803 * * * [progress]: picking best candidate 2.860 * * * * [pick]: Picked # 2.860 * * * [progress]: localizing error 2.896 * * * [progress]: generating rewritten candidates 2.896 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.965 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.115 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.170 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.193 * * * [progress]: generating series expansions 3.193 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.193 * [backup-simplify]: Simplify (- (+ 1.0 x) x) into 1.0 3.193 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 3.193 * [taylor]: Taking taylor expansion of 1.0 in x 3.193 * [backup-simplify]: Simplify 1.0 into 1.0 3.193 * [taylor]: Taking taylor expansion of 1.0 in x 3.193 * [backup-simplify]: Simplify 1.0 into 1.0 3.193 * [backup-simplify]: Simplify 1.0 into 1.0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 1.0 into 1.0 3.194 * [backup-simplify]: Simplify (- (+ 1.0 (/ 1 x)) (/ 1 x)) into 1.0 3.194 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 3.194 * [taylor]: Taking taylor expansion of 1.0 in x 3.194 * [backup-simplify]: Simplify 1.0 into 1.0 3.194 * [taylor]: Taking taylor expansion of 1.0 in x 3.194 * [backup-simplify]: Simplify 1.0 into 1.0 3.194 * [backup-simplify]: Simplify 1.0 into 1.0 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 1.0 into 1.0 3.194 * [backup-simplify]: Simplify (- (+ 1.0 (/ 1 (- x))) (/ 1 (- x))) into 1.0 3.194 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 3.194 * [taylor]: Taking taylor expansion of 1.0 in x 3.194 * [backup-simplify]: Simplify 1.0 into 1.0 3.195 * [taylor]: Taking taylor expansion of 1.0 in x 3.195 * [backup-simplify]: Simplify 1.0 into 1.0 3.195 * [backup-simplify]: Simplify 1.0 into 1.0 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 1.0 into 1.0 3.195 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.195 * [backup-simplify]: Simplify (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3.195 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.195 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.195 * [taylor]: Taking taylor expansion of 1.0 in x 3.195 * [backup-simplify]: Simplify 1.0 into 1.0 3.195 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.195 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.195 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.195 * [taylor]: Taking taylor expansion of x in x 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 1 into 1 3.196 * [taylor]: Taking taylor expansion of 1.0 in x 3.196 * [backup-simplify]: Simplify 1.0 into 1.0 3.197 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.198 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.198 * [backup-simplify]: Simplify (+ 1 0) into 1 3.200 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.200 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.200 * [taylor]: Taking taylor expansion of x in x 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 1 into 1 3.201 * [backup-simplify]: Simplify (sqrt 0) into 0 3.203 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.204 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.205 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.205 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.205 * [taylor]: Taking taylor expansion of 1.0 in x 3.205 * [backup-simplify]: Simplify 1.0 into 1.0 3.205 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.205 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.205 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.205 * [taylor]: Taking taylor expansion of x in x 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 1 into 1 3.205 * [taylor]: Taking taylor expansion of 1.0 in x 3.205 * [backup-simplify]: Simplify 1.0 into 1.0 3.205 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.206 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.206 * [backup-simplify]: Simplify (+ 1 0) into 1 3.208 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.208 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.208 * [taylor]: Taking taylor expansion of x in x 3.208 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify 1 into 1 3.208 * [backup-simplify]: Simplify (sqrt 0) into 0 3.210 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.211 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.212 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.213 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.215 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.226 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 3.237 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 3.237 * [backup-simplify]: Simplify (+ 0 0) into 0 3.246 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.249 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.251 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 3.274 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 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) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 3.288 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 3.308 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow x 2)) (+ (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (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) 2)))))))))))) 3.309 * [backup-simplify]: Simplify (/ (- (+ 1.0 (/ 1 x)) (/ 1 x)) (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 3.309 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 3.309 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 3.309 * [taylor]: Taking taylor expansion of 1.0 in x 3.309 * [backup-simplify]: Simplify 1.0 into 1.0 3.309 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 3.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.309 * [taylor]: Taking taylor expansion of x in x 3.309 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify 1 into 1 3.309 * [backup-simplify]: Simplify (/ 1 1) into 1 3.309 * [backup-simplify]: Simplify (sqrt 0) into 0 3.310 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.310 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.310 * [taylor]: Taking taylor expansion of x in x 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify 1 into 1 3.311 * [backup-simplify]: Simplify (/ 1 1) into 1 3.311 * [taylor]: Taking taylor expansion of 1.0 in x 3.311 * [backup-simplify]: Simplify 1.0 into 1.0 3.311 * [backup-simplify]: Simplify (+ 1 0) into 1 3.311 * [backup-simplify]: Simplify (sqrt 0) into 0 3.312 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.312 * [backup-simplify]: Simplify (+ 0 0) into 0 3.312 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.313 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.313 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 3.313 * [taylor]: Taking taylor expansion of 1.0 in x 3.313 * [backup-simplify]: Simplify 1.0 into 1.0 3.313 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 3.313 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.313 * [taylor]: Taking taylor expansion of x in x 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 1 into 1 3.313 * [backup-simplify]: Simplify (/ 1 1) into 1 3.314 * [backup-simplify]: Simplify (sqrt 0) into 0 3.314 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.314 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.314 * [taylor]: Taking taylor expansion of x in x 3.314 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (/ 1 1) into 1 3.315 * [taylor]: Taking taylor expansion of 1.0 in x 3.315 * [backup-simplify]: Simplify 1.0 into 1.0 3.315 * [backup-simplify]: Simplify (+ 1 0) into 1 3.315 * [backup-simplify]: Simplify (sqrt 0) into 0 3.316 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.316 * [backup-simplify]: Simplify (+ 0 0) into 0 3.317 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.317 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.317 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.319 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.320 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.322 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.322 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.324 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.325 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.333 * [backup-simplify]: Simplify (+ 0 0) into 0 3.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.338 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.344 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.344 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.345 * [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))))) 3.345 * [backup-simplify]: Simplify (/ (- (+ 1.0 (/ 1 (- x))) (/ 1 (- x))) (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 3.345 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.345 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.345 * [taylor]: Taking taylor expansion of 1.0 in x 3.345 * [backup-simplify]: Simplify 1.0 into 1.0 3.345 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.345 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.345 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.345 * [taylor]: Taking taylor expansion of -1 in x 3.346 * [backup-simplify]: Simplify -1 into -1 3.346 * [taylor]: Taking taylor expansion of x in x 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 1 into 1 3.346 * [backup-simplify]: Simplify (/ -1 1) into -1 3.346 * [backup-simplify]: Simplify (sqrt 0) into 0 3.347 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.347 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.347 * [taylor]: Taking taylor expansion of 1.0 in x 3.347 * [backup-simplify]: Simplify 1.0 into 1.0 3.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.347 * [taylor]: Taking taylor expansion of x in x 3.347 * [backup-simplify]: Simplify 0 into 0 3.347 * [backup-simplify]: Simplify 1 into 1 3.347 * [backup-simplify]: Simplify (/ 1 1) into 1 3.348 * [backup-simplify]: Simplify (- 1) into -1 3.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.348 * [backup-simplify]: Simplify (sqrt 0) into 0 3.349 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.349 * [backup-simplify]: Simplify (+ 0 0) into 0 3.349 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.350 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.350 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.350 * [taylor]: Taking taylor expansion of 1.0 in x 3.350 * [backup-simplify]: Simplify 1.0 into 1.0 3.350 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.350 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.350 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.350 * [taylor]: Taking taylor expansion of -1 in x 3.350 * [backup-simplify]: Simplify -1 into -1 3.350 * [taylor]: Taking taylor expansion of x in x 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.350 * [backup-simplify]: Simplify (/ -1 1) into -1 3.351 * [backup-simplify]: Simplify (sqrt 0) into 0 3.352 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.352 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.352 * [taylor]: Taking taylor expansion of 1.0 in x 3.352 * [backup-simplify]: Simplify 1.0 into 1.0 3.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.352 * [taylor]: Taking taylor expansion of x in x 3.352 * [backup-simplify]: Simplify 0 into 0 3.352 * [backup-simplify]: Simplify 1 into 1 3.352 * [backup-simplify]: Simplify (/ 1 1) into 1 3.352 * [backup-simplify]: Simplify (- 1) into -1 3.353 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.353 * [backup-simplify]: Simplify (sqrt 0) into 0 3.354 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.354 * [backup-simplify]: Simplify (+ 0 0) into 0 3.355 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.355 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.355 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.359 * [backup-simplify]: Simplify (- 0) into 0 3.359 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.361 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.361 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.363 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.364 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.367 * [backup-simplify]: Simplify (- 0) into 0 3.368 * [backup-simplify]: Simplify (+ 0 0) into 0 3.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.370 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.374 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.374 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.375 * [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))))) 3.375 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.375 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 x)) (sqrt x)) into (+ (sqrt (+ x 1.0)) (sqrt x)) 3.375 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 3.375 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.375 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.375 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.375 * [taylor]: Taking taylor expansion of x in x 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify 1 into 1 3.375 * [taylor]: Taking taylor expansion of 1.0 in x 3.375 * [backup-simplify]: Simplify 1.0 into 1.0 3.375 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.376 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.376 * [backup-simplify]: Simplify (+ 1 0) into 1 3.377 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.377 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.377 * [taylor]: Taking taylor expansion of x in x 3.377 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify 1 into 1 3.377 * [backup-simplify]: Simplify (sqrt 0) into 0 3.378 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.378 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.378 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.378 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.378 * [taylor]: Taking taylor expansion of x in x 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 1 into 1 3.378 * [taylor]: Taking taylor expansion of 1.0 in x 3.378 * [backup-simplify]: Simplify 1.0 into 1.0 3.378 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.379 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.379 * [backup-simplify]: Simplify (+ 1 0) into 1 3.380 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.380 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.380 * [taylor]: Taking taylor expansion of x in x 3.380 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify 1 into 1 3.380 * [backup-simplify]: Simplify (sqrt 0) into 0 3.381 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.381 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.382 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.383 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.384 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.385 * [backup-simplify]: Simplify (+ 0 0) into 0 3.388 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.390 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.391 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 3.394 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 3.400 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (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)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) 3.400 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) into (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) 3.400 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 3.400 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 3.400 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.400 * [taylor]: Taking taylor expansion of x in x 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.400 * [backup-simplify]: Simplify (/ 1 1) into 1 3.401 * [backup-simplify]: Simplify (sqrt 0) into 0 3.401 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.401 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 1 into 1 3.402 * [backup-simplify]: Simplify (/ 1 1) into 1 3.402 * [taylor]: Taking taylor expansion of 1.0 in x 3.402 * [backup-simplify]: Simplify 1.0 into 1.0 3.402 * [backup-simplify]: Simplify (+ 1 0) into 1 3.402 * [backup-simplify]: Simplify (sqrt 0) into 0 3.403 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.403 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 3.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.403 * [taylor]: Taking taylor expansion of x in x 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 1 into 1 3.403 * [backup-simplify]: Simplify (/ 1 1) into 1 3.404 * [backup-simplify]: Simplify (sqrt 0) into 0 3.404 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.404 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.405 * [taylor]: Taking taylor expansion of x in x 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.405 * [backup-simplify]: Simplify (/ 1 1) into 1 3.405 * [taylor]: Taking taylor expansion of 1.0 in x 3.405 * [backup-simplify]: Simplify 1.0 into 1.0 3.405 * [backup-simplify]: Simplify (+ 1 0) into 1 3.405 * [backup-simplify]: Simplify (sqrt 0) into 0 3.406 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.406 * [backup-simplify]: Simplify (+ 0 0) into 0 3.406 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.407 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.409 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.412 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.412 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.412 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.416 * [backup-simplify]: Simplify (+ 0 0) into 0 3.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.418 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.418 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.419 * [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))))) 3.419 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) into (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 3.419 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 3.419 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.419 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.419 * [taylor]: Taking taylor expansion of -1 in x 3.420 * [backup-simplify]: Simplify -1 into -1 3.420 * [taylor]: Taking taylor expansion of x in x 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify (/ -1 1) into -1 3.420 * [backup-simplify]: Simplify (sqrt 0) into 0 3.422 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.422 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.422 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.422 * [taylor]: Taking taylor expansion of 1.0 in x 3.422 * [backup-simplify]: Simplify 1.0 into 1.0 3.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.422 * [taylor]: Taking taylor expansion of x in x 3.422 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify 1 into 1 3.423 * [backup-simplify]: Simplify (/ 1 1) into 1 3.423 * [backup-simplify]: Simplify (- 1) into -1 3.423 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.424 * [backup-simplify]: Simplify (sqrt 0) into 0 3.424 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.424 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.424 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.424 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.424 * [taylor]: Taking taylor expansion of -1 in x 3.425 * [backup-simplify]: Simplify -1 into -1 3.425 * [taylor]: Taking taylor expansion of x in x 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 1 into 1 3.425 * [backup-simplify]: Simplify (/ -1 1) into -1 3.425 * [backup-simplify]: Simplify (sqrt 0) into 0 3.426 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.426 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.426 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.426 * [taylor]: Taking taylor expansion of 1.0 in x 3.426 * [backup-simplify]: Simplify 1.0 into 1.0 3.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.426 * [taylor]: Taking taylor expansion of x in x 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 1 into 1 3.426 * [backup-simplify]: Simplify (/ 1 1) into 1 3.426 * [backup-simplify]: Simplify (- 1) into -1 3.427 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.427 * [backup-simplify]: Simplify (sqrt 0) into 0 3.428 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.428 * [backup-simplify]: Simplify (+ 0 0) into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.428 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.432 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.433 * [backup-simplify]: Simplify (- 0) into 0 3.433 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.437 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.437 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.437 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.443 * [backup-simplify]: Simplify (- 0) into 0 3.443 * [backup-simplify]: Simplify (+ 0 0) into 0 3.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.446 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.447 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.448 * [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))))) 3.448 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.448 * [backup-simplify]: Simplify (sqrt (+ 1.0 x)) into (sqrt (+ x 1.0)) 3.448 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 3.448 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.448 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.448 * [taylor]: Taking taylor expansion of x in x 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify 1 into 1 3.448 * [taylor]: Taking taylor expansion of 1.0 in x 3.448 * [backup-simplify]: Simplify 1.0 into 1.0 3.448 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.449 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.449 * [backup-simplify]: Simplify (+ 1 0) into 1 3.450 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.450 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.450 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.450 * [taylor]: Taking taylor expansion of x in x 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.450 * [taylor]: Taking taylor expansion of 1.0 in x 3.450 * [backup-simplify]: Simplify 1.0 into 1.0 3.450 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.451 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.451 * [backup-simplify]: Simplify (+ 1 0) into 1 3.452 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.452 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.453 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 3.453 * [backup-simplify]: Simplify (+ 0 0) into 0 3.456 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.457 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.459 * [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)))) 3.459 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 x))) into (sqrt (+ (/ 1 x) 1.0)) 3.459 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 3.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.459 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.459 * [taylor]: Taking taylor expansion of x in x 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 1 into 1 3.460 * [backup-simplify]: Simplify (/ 1 1) into 1 3.460 * [taylor]: Taking taylor expansion of 1.0 in x 3.460 * [backup-simplify]: Simplify 1.0 into 1.0 3.460 * [backup-simplify]: Simplify (+ 1 0) into 1 3.460 * [backup-simplify]: Simplify (sqrt 0) into 0 3.461 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.461 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.461 * [taylor]: Taking taylor expansion of x in x 3.461 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify 1 into 1 3.462 * [backup-simplify]: Simplify (/ 1 1) into 1 3.462 * [taylor]: Taking taylor expansion of 1.0 in x 3.462 * [backup-simplify]: Simplify 1.0 into 1.0 3.462 * [backup-simplify]: Simplify (+ 1 0) into 1 3.462 * [backup-simplify]: Simplify (sqrt 0) into 0 3.463 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.464 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.466 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.466 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (+ 0 0) into 0 3.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.469 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.469 * [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))))) 3.469 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 (- x)))) into (sqrt (- 1.0 (/ 1 x))) 3.469 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 3.469 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.469 * [taylor]: Taking taylor expansion of 1.0 in x 3.469 * [backup-simplify]: Simplify 1.0 into 1.0 3.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.469 * [taylor]: Taking taylor expansion of x in x 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (/ 1 1) into 1 3.470 * [backup-simplify]: Simplify (- 1) into -1 3.470 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.470 * [backup-simplify]: Simplify (sqrt 0) into 0 3.471 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.471 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.471 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.471 * [taylor]: Taking taylor expansion of 1.0 in x 3.471 * [backup-simplify]: Simplify 1.0 into 1.0 3.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.471 * [taylor]: Taking taylor expansion of x in x 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 1 into 1 3.471 * [backup-simplify]: Simplify (/ 1 1) into 1 3.472 * [backup-simplify]: Simplify (- 1) into -1 3.472 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.472 * [backup-simplify]: Simplify (sqrt 0) into 0 3.473 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.474 * [backup-simplify]: Simplify (- 0) into 0 3.474 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.476 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.476 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.476 * [backup-simplify]: Simplify (- 0) into 0 3.477 * [backup-simplify]: Simplify (+ 0 0) into 0 3.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.479 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.479 * [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))))) 3.479 * * * [progress]: simplifying candidates 3.481 * [simplify]: Simplifying: (fma (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x)) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x)) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x)) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x)) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x)) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x)) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma 1 (+ 1.0 x) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma 1 (+ 1.0 x) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma 1 (+ 1.0 x) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma 1 (+ 1.0 x) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma 1 (+ 1.0 x) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma 1 (+ 1.0 x) (- (* x 1))) (fma (- x) 1 (* x 1)) (expm1 (- (+ 1.0 x) x)) (log1p (- (+ 1.0 x) x)) (- x) (- x) (- x) (- x) (/ (* (exp 1.0) (exp x)) (exp x)) (/ (exp (+ 1.0 x)) (exp x)) (log (- (+ 1.0 x) x)) (exp (- (+ 1.0 x) x)) (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (cbrt (- (+ 1.0 x) x)) (* (* (- (+ 1.0 x) x) (- (+ 1.0 x) x)) (- (+ 1.0 x) x)) (sqrt (- (+ 1.0 x) x)) (sqrt (- (+ 1.0 x) x)) (- (pow (+ 1.0 x) 3) (pow x 3)) (+ (* (+ 1.0 x) (+ 1.0 x)) (+ (* x x) (* (+ 1.0 x) x))) (- x) (- (* (+ 1.0 x) (+ 1.0 x)) (* x x)) (+ (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (+ 1.0 x) x) (- (+ 1.0 x) x) (- x x) (- x) (expm1 (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log1p (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- (log (- (+ 1.0 x) x)) (log (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (* (- (+ 1.0 x) x) (- (+ 1.0 x) x)) (- (+ 1.0 x) x)) (* (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (* (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- (- (+ 1.0 x) x)) (- (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ 1.0 x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ x (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (cbrt (- (+ 1.0 x) x)) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (cbrt (- (+ 1.0 x) x)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) 1) (/ (cbrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (sqrt 1)) (/ (cbrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (sqrt 1)) (/ (cbrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) 1) (/ (cbrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt (- (+ 1.0 x) x)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt (- (+ 1.0 x) x)) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (- (+ 1.0 x) x)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (- (+ 1.0 x) x)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (- (+ 1.0 x) x)) 1) (/ (sqrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt (- (+ 1.0 x) x)) (sqrt 1)) (/ (sqrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt (- (+ 1.0 x) x)) (sqrt 1)) (/ (sqrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt (- (+ 1.0 x) x)) 1) (/ (sqrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (- (+ 1.0 x) x) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (+ 1.0 x) x) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 1) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 1) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (- (sqrt (+ 1.0 x)) (sqrt x)) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (sqrt (+ 1.0 x)) (sqrt x)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1) (/ (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt 1)) (/ (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt 1)) (/ (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1) (/ (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (- (+ 1.0 x) x) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (+ 1.0 x) x) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 1) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 1) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (- (+ 1.0 x) x) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (+ 1.0 x) x) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 1) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 1) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (+ 1.0 x) x)) (/ (- (+ 1.0 x) x) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (- (+ 1.0 x) x) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (+ 1.0 x) x) 1) (/ (- (+ 1.0 x) x) (sqrt 1)) (/ (- (+ 1.0 x) x) (sqrt 1)) (/ (- (+ 1.0 x) x) 1) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (cbrt (- (+ 1.0 x) x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt (- (+ 1.0 x) x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (+ 1.0 x) x)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (+ 1.0 x) x)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (+ 1.0 x) x)) (/ (- (+ 1.0 x) x) (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3))) (/ (- (+ 1.0 x) x) (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x)))) (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (* (+ 1.0 x) (+ 1.0 x)) (+ (* x x) (* (+ 1.0 x) x)))) (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (+ 1.0 x) x)) (expm1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (log1p (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (exp (sqrt (+ 1.0 x))) (exp (sqrt x))) (log (+ (sqrt (+ 1.0 x)) (sqrt x))) (exp (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x)))) (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1.0 1.0 1.0 (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (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) 2)))))))))))) (- (+ (* +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 (pow x 2)) (- (* +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))))) 3.484 * * [simplify]: iteration 0: 217 enodes 3.566 * * [simplify]: iteration 1: 558 enodes 3.828 * * [simplify]: iteration 2: 1716 enodes 4.605 * * [simplify]: iteration complete: 5000 enodes 4.606 * * [simplify]: Extracting #0: cost 92 inf + 0 4.608 * * [simplify]: Extracting #1: cost 557 inf + 116 4.617 * * [simplify]: Extracting #2: cost 1421 inf + 1825 4.632 * * [simplify]: Extracting #3: cost 1215 inf + 74993 4.715 * * [simplify]: Extracting #4: cost 425 inf + 250150 4.816 * * [simplify]: Extracting #5: cost 95 inf + 347707 4.957 * * [simplify]: Extracting #6: cost 10 inf + 379555 5.056 * * [simplify]: Extracting #7: cost 0 inf + 382410 5.183 * * [simplify]: Extracting #8: cost 0 inf + 382380 5.293 * [simplify]: Simplified to: (- (* (cbrt (+ 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) x) (fma x -1 x) (- (* (cbrt (+ 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) x) (fma x -1 x) (- (* (cbrt (+ 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (expm1 (- (+ 1.0 x) x)) (log1p (- (+ 1.0 x) x)) (- x) (- x) (- x) (- x) (exp 1.0) (exp 1.0) (log (- (+ 1.0 x) x)) (exp 1.0) (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (cbrt (- (+ 1.0 x) x)) (* (* (- (+ 1.0 x) x) (- (+ 1.0 x) x)) (- (+ 1.0 x) x)) (sqrt (- (+ 1.0 x) x)) (sqrt (- (+ 1.0 x) x)) (- (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x)) (* x (* x x))) (fma (+ 1.0 x) (+ 1.0 x) (* x (+ x (+ 1.0 x)))) (- x) (- (* (+ 1.0 x) (+ 1.0 x)) (* x x)) (+ x (+ 1.0 x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (+ 1.0 x) x) (- (+ 1.0 x) x) 0 (- x) (expm1 (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log1p (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (cbrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- (- (+ 1.0 x) x)) (- (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ 1.0 x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ x (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (/ (cbrt (- (+ 1.0 x) x)) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (cbrt (- (+ 1.0 x) x)) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (cbrt (- (+ 1.0 x) x)) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (cbrt (- (+ 1.0 x) x)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (/ (cbrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (/ (cbrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (/ (cbrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (/ (cbrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt (- (+ 1.0 x) x)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt 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x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (+ 1.0 x) (sqrt (+ 1.0 x))) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (sqrt (fma (* 1.0 1.0) 1.0 (* x (* x x)))) (sqrt (fma x (- x 1.0) (* 1.0 1.0))) (sqrt (* (+ 1.0 x) (- 1.0 x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1.0 1.0 1.0 (+ (- (fma (/ (* x x) (pow (sqrt 1.0) 5)) 0.375 (/ 1.0 (sqrt 1.0))) (fma (/ 0.5 (sqrt 1.0)) (/ x 1.0) (+ (* +nan.0 (- (* (/ x 1.0) (/ x 1.0)) (/ x 1.0))) (* (/ (* x x) 1.0) +nan.0)))) (* (/ (* (/ x 1.0) x) (sqrt 1.0)) +nan.0)) (+ (- (/ +nan.0 (* x x))) (- (/ +nan.0 x) +nan.0)) (+ (- (/ +nan.0 (* x x))) (- (/ +nan.0 x) +nan.0)) (+ (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0)) (fma -1/8 (/ (* (/ x 1.0) x) (sqrt 1.0)) (* +nan.0 (- (* x x) x)))) (+ (- (/ +nan.0 (* x x))) (- (/ +nan.0 x) +nan.0)) (+ (- (/ +nan.0 (* x x))) (- (/ +nan.0 x) +nan.0)) (fma (* (/ x 1.0) (- (/ x (sqrt 1.0)))) 1/8 (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0))) (+ (- (/ +nan.0 (* x x))) (- (/ +nan.0 x) +nan.0)) (+ (- (/ +nan.0 (* x x))) (- (/ +nan.0 x) +nan.0)) 5.304 * * * [progress]: adding candidates to table 5.940 * * [progress]: iteration 3 / 4 5.940 * * * [progress]: picking best candidate 5.948 * * * * [pick]: Picked # 5.948 * * * [progress]: localizing error 5.972 * * * [progress]: generating rewritten candidates 5.972 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 6.046 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 6.101 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 6.115 * * * [progress]: generating series expansions 6.115 * * * * [progress]: [ 1 / 3 ] generating series at (2) 6.116 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 6.116 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 6.116 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 6.116 * [taylor]: Taking taylor expansion of 1.0 in x 6.116 * [backup-simplify]: Simplify 1.0 into 1.0 6.116 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.116 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.116 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.116 * [taylor]: Taking taylor expansion of x in x 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 1 into 1 6.116 * [taylor]: Taking taylor expansion of 1.0 in x 6.116 * [backup-simplify]: Simplify 1.0 into 1.0 6.116 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.117 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.117 * [backup-simplify]: Simplify (+ 1 0) into 1 6.118 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.118 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.118 * [taylor]: Taking taylor expansion of x in x 6.118 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify 1 into 1 6.120 * [backup-simplify]: Simplify (sqrt 0) into 0 6.121 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.122 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 6.123 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 6.123 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 6.123 * [taylor]: Taking taylor expansion of 1.0 in x 6.123 * [backup-simplify]: Simplify 1.0 into 1.0 6.123 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.123 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.123 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.123 * [taylor]: Taking taylor expansion of x in x 6.123 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify 1 into 1 6.123 * [taylor]: Taking taylor expansion of 1.0 in x 6.123 * [backup-simplify]: Simplify 1.0 into 1.0 6.123 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.123 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.124 * [backup-simplify]: Simplify (+ 1 0) into 1 6.124 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.125 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.125 * [taylor]: Taking taylor expansion of x in x 6.125 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify 1 into 1 6.125 * [backup-simplify]: Simplify (sqrt 0) into 0 6.126 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.126 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 6.127 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 6.127 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 6.128 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 6.134 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 6.140 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 6.140 * [backup-simplify]: Simplify (+ 0 0) into 0 6.145 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.148 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.151 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 6.175 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 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) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 6.188 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 6.210 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow x 2)) (+ (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (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) 2)))))))))))) 6.210 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 6.210 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 6.210 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 6.210 * [taylor]: Taking taylor expansion of 1.0 in x 6.210 * [backup-simplify]: Simplify 1.0 into 1.0 6.210 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 6.210 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.210 * [taylor]: Taking taylor expansion of x in x 6.210 * [backup-simplify]: Simplify 0 into 0 6.210 * [backup-simplify]: Simplify 1 into 1 6.210 * [backup-simplify]: Simplify (/ 1 1) into 1 6.210 * [backup-simplify]: Simplify (sqrt 0) into 0 6.211 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.211 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.211 * [taylor]: Taking taylor expansion of x in x 6.211 * [backup-simplify]: Simplify 0 into 0 6.211 * [backup-simplify]: Simplify 1 into 1 6.212 * [backup-simplify]: Simplify (/ 1 1) into 1 6.212 * [taylor]: Taking taylor expansion of 1.0 in x 6.212 * [backup-simplify]: Simplify 1.0 into 1.0 6.212 * [backup-simplify]: Simplify (+ 1 0) into 1 6.212 * [backup-simplify]: Simplify (sqrt 0) into 0 6.213 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.213 * [backup-simplify]: Simplify (+ 0 0) into 0 6.213 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.214 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 6.214 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 6.214 * [taylor]: Taking taylor expansion of 1.0 in x 6.214 * [backup-simplify]: Simplify 1.0 into 1.0 6.214 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 6.214 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.214 * [taylor]: Taking taylor expansion of x in x 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify 1 into 1 6.214 * [backup-simplify]: Simplify (/ 1 1) into 1 6.215 * [backup-simplify]: Simplify (sqrt 0) into 0 6.215 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.215 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.215 * [taylor]: Taking taylor expansion of x in x 6.216 * [backup-simplify]: Simplify 0 into 0 6.216 * [backup-simplify]: Simplify 1 into 1 6.216 * [backup-simplify]: Simplify (/ 1 1) into 1 6.216 * [taylor]: Taking taylor expansion of 1.0 in x 6.216 * [backup-simplify]: Simplify 1.0 into 1.0 6.216 * [backup-simplify]: Simplify (+ 1 0) into 1 6.216 * [backup-simplify]: Simplify (sqrt 0) into 0 6.217 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.218 * [backup-simplify]: Simplify (+ 0 0) into 0 6.218 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.219 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 6.219 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.222 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.224 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.227 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.227 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.231 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.231 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.237 * [backup-simplify]: Simplify (+ 0 0) into 0 6.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.241 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.247 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.248 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.249 * [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))))) 6.249 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 6.249 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 6.249 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 6.249 * [taylor]: Taking taylor expansion of 1.0 in x 6.249 * [backup-simplify]: Simplify 1.0 into 1.0 6.249 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 6.249 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.249 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.249 * [taylor]: Taking taylor expansion of -1 in x 6.249 * [backup-simplify]: Simplify -1 into -1 6.250 * [taylor]: Taking taylor expansion of x in x 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify 1 into 1 6.250 * [backup-simplify]: Simplify (/ -1 1) into -1 6.250 * [backup-simplify]: Simplify (sqrt 0) into 0 6.252 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.252 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.252 * [taylor]: Taking taylor expansion of 1.0 in x 6.252 * [backup-simplify]: Simplify 1.0 into 1.0 6.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.252 * [taylor]: Taking taylor expansion of x in x 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify (/ 1 1) into 1 6.253 * [backup-simplify]: Simplify (- 1) into -1 6.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.254 * [backup-simplify]: Simplify (sqrt 0) into 0 6.255 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.255 * [backup-simplify]: Simplify (+ 0 0) into 0 6.256 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.256 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 6.257 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 6.257 * [taylor]: Taking taylor expansion of 1.0 in x 6.257 * [backup-simplify]: Simplify 1.0 into 1.0 6.257 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 6.257 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.257 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.257 * [taylor]: Taking taylor expansion of -1 in x 6.257 * [backup-simplify]: Simplify -1 into -1 6.257 * [taylor]: Taking taylor expansion of x in x 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 1 into 1 6.257 * [backup-simplify]: Simplify (/ -1 1) into -1 6.258 * [backup-simplify]: Simplify (sqrt 0) into 0 6.259 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.259 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.259 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.259 * [taylor]: Taking taylor expansion of 1.0 in x 6.259 * [backup-simplify]: Simplify 1.0 into 1.0 6.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.259 * [taylor]: Taking taylor expansion of x in x 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 1 into 1 6.259 * [backup-simplify]: Simplify (/ 1 1) into 1 6.260 * [backup-simplify]: Simplify (- 1) into -1 6.260 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.261 * [backup-simplify]: Simplify (sqrt 0) into 0 6.262 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.262 * [backup-simplify]: Simplify (+ 0 0) into 0 6.263 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.264 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 6.264 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.268 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.269 * [backup-simplify]: Simplify (- 0) into 0 6.269 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.272 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.273 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.277 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.277 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.283 * [backup-simplify]: Simplify (- 0) into 0 6.283 * [backup-simplify]: Simplify (+ 0 0) into 0 6.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.288 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.294 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.295 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.296 * [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))))) 6.296 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 6.296 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 x)) (sqrt x)) into (+ (sqrt (+ x 1.0)) (sqrt x)) 6.296 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 6.296 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.296 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.296 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.296 * [taylor]: Taking taylor expansion of x in x 6.296 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify 1 into 1 6.296 * [taylor]: Taking taylor expansion of 1.0 in x 6.296 * [backup-simplify]: Simplify 1.0 into 1.0 6.297 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.297 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.298 * [backup-simplify]: Simplify (+ 1 0) into 1 6.299 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.299 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.299 * [taylor]: Taking taylor expansion of x in x 6.299 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify 1 into 1 6.300 * [backup-simplify]: Simplify (sqrt 0) into 0 6.301 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.301 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.301 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.301 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.301 * [taylor]: Taking taylor expansion of x in x 6.301 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify 1 into 1 6.302 * [taylor]: Taking taylor expansion of 1.0 in x 6.302 * [backup-simplify]: Simplify 1.0 into 1.0 6.302 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.302 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.303 * [backup-simplify]: Simplify (+ 1 0) into 1 6.304 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.305 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.305 * [taylor]: Taking taylor expansion of x in x 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 1 into 1 6.305 * [backup-simplify]: Simplify (sqrt 0) into 0 6.306 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.307 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 6.308 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.309 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 6.312 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 6.312 * [backup-simplify]: Simplify (+ 0 0) into 0 6.318 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.321 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.323 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 6.329 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 6.341 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (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)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) 6.341 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) into (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) 6.341 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 6.341 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 6.341 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.341 * [taylor]: Taking taylor expansion of x in x 6.341 * [backup-simplify]: Simplify 0 into 0 6.341 * [backup-simplify]: Simplify 1 into 1 6.342 * [backup-simplify]: Simplify (/ 1 1) into 1 6.343 * [backup-simplify]: Simplify (sqrt 0) into 0 6.344 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.344 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.344 * [taylor]: Taking taylor expansion of x in x 6.344 * [backup-simplify]: Simplify 0 into 0 6.344 * [backup-simplify]: Simplify 1 into 1 6.345 * [backup-simplify]: Simplify (/ 1 1) into 1 6.345 * [taylor]: Taking taylor expansion of 1.0 in x 6.345 * [backup-simplify]: Simplify 1.0 into 1.0 6.345 * [backup-simplify]: Simplify (+ 1 0) into 1 6.345 * [backup-simplify]: Simplify (sqrt 0) into 0 6.347 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.347 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 6.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.347 * [taylor]: Taking taylor expansion of x in x 6.347 * [backup-simplify]: Simplify 0 into 0 6.347 * [backup-simplify]: Simplify 1 into 1 6.347 * [backup-simplify]: Simplify (/ 1 1) into 1 6.348 * [backup-simplify]: Simplify (sqrt 0) into 0 6.349 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.349 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.349 * [taylor]: Taking taylor expansion of x in x 6.349 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify 1 into 1 6.349 * [backup-simplify]: Simplify (/ 1 1) into 1 6.350 * [taylor]: Taking taylor expansion of 1.0 in x 6.350 * [backup-simplify]: Simplify 1.0 into 1.0 6.350 * [backup-simplify]: Simplify (+ 1 0) into 1 6.350 * [backup-simplify]: Simplify (sqrt 0) into 0 6.352 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.352 * [backup-simplify]: Simplify (+ 0 0) into 0 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.353 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.356 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.358 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.361 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.361 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.362 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.368 * [backup-simplify]: Simplify (+ 0 0) into 0 6.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.372 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.372 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.374 * [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))))) 6.374 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) into (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 6.374 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 6.374 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 6.374 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.374 * [taylor]: Taking taylor expansion of -1 in x 6.374 * [backup-simplify]: Simplify -1 into -1 6.374 * [taylor]: Taking taylor expansion of x in x 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 1 into 1 6.375 * [backup-simplify]: Simplify (/ -1 1) into -1 6.375 * [backup-simplify]: Simplify (sqrt 0) into 0 6.376 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.377 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.377 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.377 * [taylor]: Taking taylor expansion of 1.0 in x 6.377 * [backup-simplify]: Simplify 1.0 into 1.0 6.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.377 * [taylor]: Taking taylor expansion of x in x 6.377 * [backup-simplify]: Simplify 0 into 0 6.377 * [backup-simplify]: Simplify 1 into 1 6.377 * [backup-simplify]: Simplify (/ 1 1) into 1 6.377 * [backup-simplify]: Simplify (- 1) into -1 6.378 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.378 * [backup-simplify]: Simplify (sqrt 0) into 0 6.380 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.380 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 6.380 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.380 * [taylor]: Taking taylor expansion of -1 in x 6.380 * [backup-simplify]: Simplify -1 into -1 6.380 * [taylor]: Taking taylor expansion of x in x 6.380 * [backup-simplify]: Simplify 0 into 0 6.380 * [backup-simplify]: Simplify 1 into 1 6.380 * [backup-simplify]: Simplify (/ -1 1) into -1 6.381 * [backup-simplify]: Simplify (sqrt 0) into 0 6.382 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.382 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.382 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.382 * [taylor]: Taking taylor expansion of 1.0 in x 6.382 * [backup-simplify]: Simplify 1.0 into 1.0 6.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.382 * [taylor]: Taking taylor expansion of x in x 6.382 * [backup-simplify]: Simplify 0 into 0 6.382 * [backup-simplify]: Simplify 1 into 1 6.382 * [backup-simplify]: Simplify (/ 1 1) into 1 6.383 * [backup-simplify]: Simplify (- 1) into -1 6.383 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.384 * [backup-simplify]: Simplify (sqrt 0) into 0 6.385 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.385 * [backup-simplify]: Simplify (+ 0 0) into 0 6.385 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.386 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.390 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.391 * [backup-simplify]: Simplify (- 0) into 0 6.392 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.395 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.395 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.396 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.403 * [backup-simplify]: Simplify (- 0) into 0 6.403 * [backup-simplify]: Simplify (+ 0 0) into 0 6.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.407 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.408 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.409 * [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))))) 6.409 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 6.409 * [backup-simplify]: Simplify (sqrt (+ 1.0 x)) into (sqrt (+ x 1.0)) 6.409 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 6.409 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.409 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.409 * [taylor]: Taking taylor expansion of x in x 6.409 * [backup-simplify]: Simplify 0 into 0 6.409 * [backup-simplify]: Simplify 1 into 1 6.409 * [taylor]: Taking taylor expansion of 1.0 in x 6.409 * [backup-simplify]: Simplify 1.0 into 1.0 6.410 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.410 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.410 * [backup-simplify]: Simplify (+ 1 0) into 1 6.411 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.411 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.411 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.411 * [taylor]: Taking taylor expansion of x in x 6.411 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify 1 into 1 6.411 * [taylor]: Taking taylor expansion of 1.0 in x 6.411 * [backup-simplify]: Simplify 1.0 into 1.0 6.411 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.412 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.412 * [backup-simplify]: Simplify (+ 1 0) into 1 6.413 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.413 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.414 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 6.414 * [backup-simplify]: Simplify (+ 0 0) into 0 6.417 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.418 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.420 * [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)))) 6.420 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 x))) into (sqrt (+ (/ 1 x) 1.0)) 6.420 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 6.420 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.420 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.420 * [taylor]: Taking taylor expansion of x in x 6.420 * [backup-simplify]: Simplify 0 into 0 6.420 * [backup-simplify]: Simplify 1 into 1 6.420 * [backup-simplify]: Simplify (/ 1 1) into 1 6.420 * [taylor]: Taking taylor expansion of 1.0 in x 6.420 * [backup-simplify]: Simplify 1.0 into 1.0 6.421 * [backup-simplify]: Simplify (+ 1 0) into 1 6.421 * [backup-simplify]: Simplify (sqrt 0) into 0 6.422 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.422 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.422 * [taylor]: Taking taylor expansion of x in x 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify 1 into 1 6.422 * [backup-simplify]: Simplify (/ 1 1) into 1 6.422 * [taylor]: Taking taylor expansion of 1.0 in x 6.422 * [backup-simplify]: Simplify 1.0 into 1.0 6.422 * [backup-simplify]: Simplify (+ 1 0) into 1 6.423 * [backup-simplify]: Simplify (sqrt 0) into 0 6.423 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.423 * [backup-simplify]: Simplify 0 into 0 6.423 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.424 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.426 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.426 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.427 * [backup-simplify]: Simplify (+ 0 0) into 0 6.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.429 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.429 * [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))))) 6.429 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 (- x)))) into (sqrt (- 1.0 (/ 1 x))) 6.429 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 6.429 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.429 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.429 * [taylor]: Taking taylor expansion of 1.0 in x 6.429 * [backup-simplify]: Simplify 1.0 into 1.0 6.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.429 * [taylor]: Taking taylor expansion of x in x 6.429 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify 1 into 1 6.430 * [backup-simplify]: Simplify (/ 1 1) into 1 6.430 * [backup-simplify]: Simplify (- 1) into -1 6.430 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.430 * [backup-simplify]: Simplify (sqrt 0) into 0 6.431 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.431 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.431 * [taylor]: Taking taylor expansion of 1.0 in x 6.431 * [backup-simplify]: Simplify 1.0 into 1.0 6.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.431 * [taylor]: Taking taylor expansion of x in x 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify 1 into 1 6.432 * [backup-simplify]: Simplify (/ 1 1) into 1 6.432 * [backup-simplify]: Simplify (- 1) into -1 6.432 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.432 * [backup-simplify]: Simplify (sqrt 0) into 0 6.433 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.434 * [backup-simplify]: Simplify (- 0) into 0 6.434 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.436 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.436 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.437 * [backup-simplify]: Simplify (- 0) into 0 6.437 * [backup-simplify]: Simplify (+ 0 0) into 0 6.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.441 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.441 * [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))))) 6.442 * * * [progress]: simplifying candidates 6.444 * [simplify]: Simplifying: (expm1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log1p (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- (log 1.0) (log (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (* (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- 1.0) (- (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 1) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 1) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 1) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt 1)) (/ 1.0 1) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ 1.0 (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3))) (/ 1.0 (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x)))) (expm1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (log1p (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (exp (sqrt (+ 1.0 x))) (exp (sqrt x))) (log (+ (sqrt (+ 1.0 x)) (sqrt x))) (exp (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x)))) (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (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) 2)))))))))))) (- (+ (* +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 (pow x 2)) (- (* +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))))) 6.447 * * [simplify]: iteration 0: 162 enodes 6.526 * * [simplify]: iteration 1: 394 enodes 6.692 * * [simplify]: iteration 2: 1182 enodes 7.554 * * [simplify]: iteration 3: 4094 enodes 8.541 * * [simplify]: iteration complete: 5000 enodes 8.542 * * [simplify]: Extracting #0: cost 68 inf + 0 8.543 * * [simplify]: Extracting #1: cost 407 inf + 44 8.551 * * [simplify]: Extracting #2: cost 1035 inf + 2784 8.590 * * [simplify]: Extracting #3: cost 889 inf + 67725 8.678 * * [simplify]: Extracting #4: cost 162 inf + 233504 8.793 * * [simplify]: Extracting #5: cost 24 inf + 277666 8.877 * * [simplify]: Extracting #6: cost 0 inf + 287525 8.964 * * [simplify]: Extracting #7: cost 0 inf + 287390 9.093 * [simplify]: Simplified to: (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (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 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 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))))) (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)) (sqrt (+ x 1.0))) (* (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (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)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (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) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (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 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 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 1.0 1.0 1.0 (/ (+ (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 (fma (sqrt (+ x 1.0)) (+ x 1.0) (* x (sqrt x)))) (/ 1.0 (- (+ x 1.0) x)) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (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))) (fma (sqrt (+ x 1.0)) (+ x 1.0) (* x (sqrt x))) (fma (- (sqrt x) (sqrt (+ x 1.0))) (sqrt x) (+ x 1.0)) (- (+ x 1.0) 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)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (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))) (* (+ x 1.0) (sqrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (fma x (* x x) (* 1.0 (* 1.0 1.0)))) (sqrt (fma x (- x 1.0) (* 1.0 1.0))) (sqrt (* (+ x 1.0) (- 1.0 x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (fma 0.375 (/ (* x x) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0))) (/ (* x 0.5) (* 1.0 (sqrt 1.0)))) (fma +nan.0 (- (/ (* x x) (* 1.0 (sqrt 1.0))) (* (/ x 1.0) (/ x 1.0))) (* +nan.0 (- (/ x 1.0) (/ (* x x) 1.0))))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) (+ (fma 1/2 (/ x (sqrt 1.0)) (/ (* (* x x) -1/8) (* 1.0 (sqrt 1.0)))) (fma +nan.0 (- (* x x) x) (sqrt 1.0))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) (fma -1/8 (/ (* x x) (* 1.0 (sqrt 1.0))) (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) 9.102 * * * [progress]: adding candidates to table 9.548 * * [progress]: iteration 4 / 4 9.548 * * * [progress]: picking best candidate 9.571 * * * * [pick]: Picked # 9.572 * * * [progress]: localizing error 9.610 * * * [progress]: generating rewritten candidates 9.610 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 9.829 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 9.897 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 9.964 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 10.035 * * * [progress]: generating series expansions 10.036 * * * * [progress]: [ 1 / 4 ] generating series at (2) 10.036 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) into (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) 10.036 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 10.036 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 10.036 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 10.036 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 10.036 * [taylor]: Taking taylor expansion of 1.0 in x 10.036 * [backup-simplify]: Simplify 1.0 into 1.0 10.037 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 10.038 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 10.038 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 10.038 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 10.038 * [taylor]: Taking taylor expansion of x in x 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify 1 into 1 10.038 * [taylor]: Taking taylor expansion of 1.0 in x 10.038 * [backup-simplify]: Simplify 1.0 into 1.0 10.039 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.039 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.039 * [backup-simplify]: Simplify (+ 1 0) into 1 10.041 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 10.041 * [taylor]: Taking taylor expansion of (sqrt x) in x 10.041 * [taylor]: Taking taylor expansion of x in x 10.041 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify 1 into 1 10.042 * [backup-simplify]: Simplify (sqrt 0) into 0 10.043 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.044 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 10.045 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 10.047 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (sqrt 1.0)) into (sqrt 1.0) 10.047 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 10.047 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 10.047 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 10.047 * [taylor]: Taking taylor expansion of 1.0 in x 10.047 * [backup-simplify]: Simplify 1.0 into 1.0 10.048 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 10.049 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 10.049 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 10.049 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 10.049 * [taylor]: Taking taylor expansion of x in x 10.049 * [backup-simplify]: Simplify 0 into 0 10.049 * [backup-simplify]: Simplify 1 into 1 10.049 * [taylor]: Taking taylor expansion of 1.0 in x 10.049 * [backup-simplify]: Simplify 1.0 into 1.0 10.049 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.050 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.050 * [backup-simplify]: Simplify (+ 1 0) into 1 10.052 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 10.052 * [taylor]: Taking taylor expansion of (sqrt x) in x 10.052 * [taylor]: Taking taylor expansion of x in x 10.052 * [backup-simplify]: Simplify 0 into 0 10.052 * [backup-simplify]: Simplify 1 into 1 10.052 * [backup-simplify]: Simplify (sqrt 0) into 0 10.053 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.055 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 10.055 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 10.057 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (sqrt 1.0)) into (sqrt 1.0) 10.058 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.059 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 10.060 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 10.070 * [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))) 10.075 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) into (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) 10.076 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 10.077 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 10.077 * [backup-simplify]: Simplify (+ 0 0) into 0 10.082 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 10.084 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.086 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 10.106 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (sqrt 1.0) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (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))))) 10.118 * [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 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- +nan.0))))) 10.139 * [backup-simplify]: Simplify (+ (* (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- +nan.0))))) (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)) (- (* 1/2 (/ x (sqrt 1.0))) (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 x) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))))))))) 10.140 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)))))) into (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 10.140 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 10.140 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 10.140 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 10.140 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 10.140 * [taylor]: Taking taylor expansion of 1.0 in x 10.140 * [backup-simplify]: Simplify 1.0 into 1.0 10.140 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 10.141 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 10.141 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 10.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.141 * [taylor]: Taking taylor expansion of x in x 10.141 * [backup-simplify]: Simplify 0 into 0 10.141 * [backup-simplify]: Simplify 1 into 1 10.142 * [backup-simplify]: Simplify (/ 1 1) into 1 10.142 * [backup-simplify]: Simplify (sqrt 0) into 0 10.144 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 10.144 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 10.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.144 * [taylor]: Taking taylor expansion of x in x 10.144 * [backup-simplify]: Simplify 0 into 0 10.144 * [backup-simplify]: Simplify 1 into 1 10.144 * [backup-simplify]: Simplify (/ 1 1) into 1 10.144 * [taylor]: Taking taylor expansion of 1.0 in x 10.144 * [backup-simplify]: Simplify 1.0 into 1.0 10.145 * [backup-simplify]: Simplify (+ 1 0) into 1 10.145 * [backup-simplify]: Simplify (sqrt 0) into 0 10.147 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.148 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 10.148 * [backup-simplify]: Simplify (+ 0 0) into 0 10.149 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.151 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 10.151 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 10.151 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 10.151 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 10.151 * [taylor]: Taking taylor expansion of 1.0 in x 10.151 * [backup-simplify]: Simplify 1.0 into 1.0 10.151 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 10.152 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 10.152 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 10.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.152 * [taylor]: Taking taylor expansion of x in x 10.152 * [backup-simplify]: Simplify 0 into 0 10.152 * [backup-simplify]: Simplify 1 into 1 10.153 * [backup-simplify]: Simplify (/ 1 1) into 1 10.153 * [backup-simplify]: Simplify (sqrt 0) into 0 10.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 10.154 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 10.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.154 * [taylor]: Taking taylor expansion of x in x 10.154 * [backup-simplify]: Simplify 0 into 0 10.155 * [backup-simplify]: Simplify 1 into 1 10.155 * [backup-simplify]: Simplify (/ 1 1) into 1 10.155 * [taylor]: Taking taylor expansion of 1.0 in x 10.155 * [backup-simplify]: Simplify 1.0 into 1.0 10.155 * [backup-simplify]: Simplify (+ 1 0) into 1 10.156 * [backup-simplify]: Simplify (sqrt 0) into 0 10.157 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.158 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 10.158 * [backup-simplify]: Simplify (+ 0 0) into 0 10.158 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.159 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 10.161 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 1.0) 2)) into (* +nan.0 (pow (sqrt 1.0) 2)) 10.161 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 10.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.163 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.164 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.166 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.166 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.170 * [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))) 10.172 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 10.173 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 10.173 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 10.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.177 * [backup-simplify]: Simplify (+ 0 0) into 0 10.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.181 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.195 * [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))) 10.198 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 10.205 * [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)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) x))))))) 10.206 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x)))))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x))))))) into (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 10.206 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 10.206 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 10.206 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 10.206 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 10.206 * [taylor]: Taking taylor expansion of 1.0 in x 10.206 * [backup-simplify]: Simplify 1.0 into 1.0 10.206 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 10.207 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 10.207 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 10.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.207 * [taylor]: Taking taylor expansion of -1 in x 10.207 * [backup-simplify]: Simplify -1 into -1 10.207 * [taylor]: Taking taylor expansion of x in x 10.207 * [backup-simplify]: Simplify 0 into 0 10.207 * [backup-simplify]: Simplify 1 into 1 10.208 * [backup-simplify]: Simplify (/ -1 1) into -1 10.208 * [backup-simplify]: Simplify (sqrt 0) into 0 10.210 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.210 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 10.210 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 10.210 * [taylor]: Taking taylor expansion of 1.0 in x 10.210 * [backup-simplify]: Simplify 1.0 into 1.0 10.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.210 * [taylor]: Taking taylor expansion of x in x 10.210 * [backup-simplify]: Simplify 0 into 0 10.210 * [backup-simplify]: Simplify 1 into 1 10.210 * [backup-simplify]: Simplify (/ 1 1) into 1 10.211 * [backup-simplify]: Simplify (- 1) into -1 10.211 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.211 * [backup-simplify]: Simplify (sqrt 0) into 0 10.213 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.214 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 10.214 * [backup-simplify]: Simplify (+ 0 0) into 0 10.215 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.217 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 10.217 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 10.217 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 10.217 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 10.217 * [taylor]: Taking taylor expansion of 1.0 in x 10.217 * [backup-simplify]: Simplify 1.0 into 1.0 10.218 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 10.218 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 10.218 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 10.218 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.219 * [taylor]: Taking taylor expansion of -1 in x 10.219 * [backup-simplify]: Simplify -1 into -1 10.219 * [taylor]: Taking taylor expansion of x in x 10.219 * [backup-simplify]: Simplify 0 into 0 10.219 * [backup-simplify]: Simplify 1 into 1 10.219 * [backup-simplify]: Simplify (/ -1 1) into -1 10.219 * [backup-simplify]: Simplify (sqrt 0) into 0 10.221 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.221 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 10.221 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 10.221 * [taylor]: Taking taylor expansion of 1.0 in x 10.221 * [backup-simplify]: Simplify 1.0 into 1.0 10.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.221 * [taylor]: Taking taylor expansion of x in x 10.221 * [backup-simplify]: Simplify 0 into 0 10.221 * [backup-simplify]: Simplify 1 into 1 10.224 * [backup-simplify]: Simplify (/ 1 1) into 1 10.224 * [backup-simplify]: Simplify (- 1) into -1 10.225 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.225 * [backup-simplify]: Simplify (sqrt 0) into 0 10.227 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.228 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 10.228 * [backup-simplify]: Simplify (+ 0 0) into 0 10.229 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.231 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 10.233 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 1.0) 2)) into (* +nan.0 (pow (sqrt 1.0) 2)) 10.234 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 10.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.238 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.239 * [backup-simplify]: Simplify (- 0) into 0 10.239 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.242 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.243 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.251 * [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))) 10.253 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 10.255 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 10.256 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 10.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.263 * [backup-simplify]: Simplify (- 0) into 0 10.263 * [backup-simplify]: Simplify (+ 0 0) into 0 10.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.266 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.274 * [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))) 10.275 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 10.280 * [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)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) x))))))) 10.280 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 10.280 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 10.280 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 10.280 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 10.280 * [taylor]: Taking taylor expansion of 1.0 in x 10.280 * [backup-simplify]: Simplify 1.0 into 1.0 10.280 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 10.280 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 10.280 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 10.280 * [taylor]: Taking taylor expansion of x in x 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 1 into 1 10.280 * [taylor]: Taking taylor expansion of 1.0 in x 10.280 * [backup-simplify]: Simplify 1.0 into 1.0 10.280 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.281 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.281 * [backup-simplify]: Simplify (+ 1 0) into 1 10.282 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 10.282 * [taylor]: Taking taylor expansion of (sqrt x) in x 10.282 * [taylor]: Taking taylor expansion of x in x 10.282 * [backup-simplify]: Simplify 0 into 0 10.282 * [backup-simplify]: Simplify 1 into 1 10.282 * [backup-simplify]: Simplify (sqrt 0) into 0 10.283 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.284 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 10.284 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 10.284 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 10.284 * [taylor]: Taking taylor expansion of 1.0 in x 10.284 * [backup-simplify]: Simplify 1.0 into 1.0 10.284 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 10.284 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 10.284 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 10.284 * [taylor]: Taking taylor expansion of x in x 10.284 * [backup-simplify]: Simplify 0 into 0 10.284 * [backup-simplify]: Simplify 1 into 1 10.284 * [taylor]: Taking taylor expansion of 1.0 in x 10.284 * [backup-simplify]: Simplify 1.0 into 1.0 10.285 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.285 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.285 * [backup-simplify]: Simplify (+ 1 0) into 1 10.286 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 10.286 * [taylor]: Taking taylor expansion of (sqrt x) in x 10.286 * [taylor]: Taking taylor expansion of x in x 10.286 * [backup-simplify]: Simplify 0 into 0 10.286 * [backup-simplify]: Simplify 1 into 1 10.286 * [backup-simplify]: Simplify (sqrt 0) into 0 10.287 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.288 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 10.288 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 10.289 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 10.290 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 10.296 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 10.306 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 10.306 * [backup-simplify]: Simplify (+ 0 0) into 0 10.312 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 10.315 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.318 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 10.363 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 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) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 10.388 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 10.425 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow x 2)) (+ (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (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) 2)))))))))))) 10.425 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 10.425 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 10.425 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 10.425 * [taylor]: Taking taylor expansion of 1.0 in x 10.425 * [backup-simplify]: Simplify 1.0 into 1.0 10.425 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 10.425 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 10.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.425 * [taylor]: Taking taylor expansion of x in x 10.425 * [backup-simplify]: Simplify 0 into 0 10.425 * [backup-simplify]: Simplify 1 into 1 10.426 * [backup-simplify]: Simplify (/ 1 1) into 1 10.426 * [backup-simplify]: Simplify (sqrt 0) into 0 10.428 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 10.428 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 10.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.428 * [taylor]: Taking taylor expansion of x in x 10.428 * [backup-simplify]: Simplify 0 into 0 10.428 * [backup-simplify]: Simplify 1 into 1 10.428 * [backup-simplify]: Simplify (/ 1 1) into 1 10.428 * [taylor]: Taking taylor expansion of 1.0 in x 10.429 * [backup-simplify]: Simplify 1.0 into 1.0 10.429 * [backup-simplify]: Simplify (+ 1 0) into 1 10.429 * [backup-simplify]: Simplify (sqrt 0) into 0 10.431 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.431 * [backup-simplify]: Simplify (+ 0 0) into 0 10.431 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.432 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 10.432 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 10.432 * [taylor]: Taking taylor expansion of 1.0 in x 10.432 * [backup-simplify]: Simplify 1.0 into 1.0 10.432 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 10.432 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 10.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.433 * [taylor]: Taking taylor expansion of x in x 10.433 * [backup-simplify]: Simplify 0 into 0 10.433 * [backup-simplify]: Simplify 1 into 1 10.433 * [backup-simplify]: Simplify (/ 1 1) into 1 10.433 * [backup-simplify]: Simplify (sqrt 0) into 0 10.435 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 10.435 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 10.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.435 * [taylor]: Taking taylor expansion of x in x 10.435 * [backup-simplify]: Simplify 0 into 0 10.435 * [backup-simplify]: Simplify 1 into 1 10.435 * [backup-simplify]: Simplify (/ 1 1) into 1 10.435 * [taylor]: Taking taylor expansion of 1.0 in x 10.435 * [backup-simplify]: Simplify 1.0 into 1.0 10.436 * [backup-simplify]: Simplify (+ 1 0) into 1 10.436 * [backup-simplify]: Simplify (sqrt 0) into 0 10.437 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.438 * [backup-simplify]: Simplify (+ 0 0) into 0 10.438 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.439 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 10.439 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.442 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.443 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.445 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.445 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.447 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 10.447 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.450 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.451 * [backup-simplify]: Simplify (+ 0 0) into 0 10.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.454 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.457 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 10.457 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.458 * [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))))) 10.458 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 10.458 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 10.458 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 10.458 * [taylor]: Taking taylor expansion of 1.0 in x 10.458 * [backup-simplify]: Simplify 1.0 into 1.0 10.458 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 10.458 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 10.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.458 * [taylor]: Taking taylor expansion of -1 in x 10.458 * [backup-simplify]: Simplify -1 into -1 10.458 * [taylor]: Taking taylor expansion of x in x 10.458 * [backup-simplify]: Simplify 0 into 0 10.458 * [backup-simplify]: Simplify 1 into 1 10.459 * [backup-simplify]: Simplify (/ -1 1) into -1 10.459 * [backup-simplify]: Simplify (sqrt 0) into 0 10.460 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.460 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 10.460 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 10.460 * [taylor]: Taking taylor expansion of 1.0 in x 10.460 * [backup-simplify]: Simplify 1.0 into 1.0 10.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.460 * [taylor]: Taking taylor expansion of x in x 10.460 * [backup-simplify]: Simplify 0 into 0 10.460 * [backup-simplify]: Simplify 1 into 1 10.460 * [backup-simplify]: Simplify (/ 1 1) into 1 10.460 * [backup-simplify]: Simplify (- 1) into -1 10.461 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.461 * [backup-simplify]: Simplify (sqrt 0) into 0 10.462 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.462 * [backup-simplify]: Simplify (+ 0 0) into 0 10.462 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.463 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 10.463 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 10.463 * [taylor]: Taking taylor expansion of 1.0 in x 10.463 * [backup-simplify]: Simplify 1.0 into 1.0 10.463 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 10.463 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 10.463 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.463 * [taylor]: Taking taylor expansion of -1 in x 10.463 * [backup-simplify]: Simplify -1 into -1 10.463 * [taylor]: Taking taylor expansion of x in x 10.463 * [backup-simplify]: Simplify 0 into 0 10.463 * [backup-simplify]: Simplify 1 into 1 10.463 * [backup-simplify]: Simplify (/ -1 1) into -1 10.463 * [backup-simplify]: Simplify (sqrt 0) into 0 10.464 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.464 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 10.464 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 10.464 * [taylor]: Taking taylor expansion of 1.0 in x 10.464 * [backup-simplify]: Simplify 1.0 into 1.0 10.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.464 * [taylor]: Taking taylor expansion of x in x 10.464 * [backup-simplify]: Simplify 0 into 0 10.464 * [backup-simplify]: Simplify 1 into 1 10.465 * [backup-simplify]: Simplify (/ 1 1) into 1 10.465 * [backup-simplify]: Simplify (- 1) into -1 10.465 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.465 * [backup-simplify]: Simplify (sqrt 0) into 0 10.466 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.466 * [backup-simplify]: Simplify (+ 0 0) into 0 10.466 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.467 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 10.467 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.469 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.472 * [backup-simplify]: Simplify (- 0) into 0 10.472 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.474 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.474 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.476 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 10.477 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.481 * [backup-simplify]: Simplify (- 0) into 0 10.481 * [backup-simplify]: Simplify (+ 0 0) into 0 10.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.483 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.489 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 10.489 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.491 * [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))))) 10.491 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 10.491 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 10.491 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 10.491 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 10.491 * [taylor]: Taking taylor expansion of 1.0 in x 10.491 * [backup-simplify]: Simplify 1.0 into 1.0 10.491 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 10.491 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 10.491 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 10.491 * [taylor]: Taking taylor expansion of x in x 10.491 * [backup-simplify]: Simplify 0 into 0 10.491 * [backup-simplify]: Simplify 1 into 1 10.491 * [taylor]: Taking taylor expansion of 1.0 in x 10.491 * [backup-simplify]: Simplify 1.0 into 1.0 10.492 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.493 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.493 * [backup-simplify]: Simplify (+ 1 0) into 1 10.495 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 10.495 * [taylor]: Taking taylor expansion of (sqrt x) in x 10.495 * [taylor]: Taking taylor expansion of x in x 10.495 * [backup-simplify]: Simplify 0 into 0 10.495 * [backup-simplify]: Simplify 1 into 1 10.495 * [backup-simplify]: Simplify (sqrt 0) into 0 10.497 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.498 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 10.498 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 10.499 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 10.499 * [taylor]: Taking taylor expansion of 1.0 in x 10.499 * [backup-simplify]: Simplify 1.0 into 1.0 10.499 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 10.499 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 10.499 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 10.499 * [taylor]: Taking taylor expansion of x in x 10.499 * [backup-simplify]: Simplify 0 into 0 10.499 * [backup-simplify]: Simplify 1 into 1 10.499 * [taylor]: Taking taylor expansion of 1.0 in x 10.499 * [backup-simplify]: Simplify 1.0 into 1.0 10.499 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.500 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.500 * [backup-simplify]: Simplify (+ 1 0) into 1 10.502 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 10.502 * [taylor]: Taking taylor expansion of (sqrt x) in x 10.502 * [taylor]: Taking taylor expansion of x in x 10.502 * [backup-simplify]: Simplify 0 into 0 10.502 * [backup-simplify]: Simplify 1 into 1 10.502 * [backup-simplify]: Simplify (sqrt 0) into 0 10.504 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.505 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 10.505 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 10.506 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 10.508 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 10.519 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 10.530 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 10.531 * [backup-simplify]: Simplify (+ 0 0) into 0 10.536 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 10.540 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.542 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 10.568 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 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) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 10.590 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 10.610 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow x 2)) (+ (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (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) 2)))))))))))) 10.610 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 10.610 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 10.610 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 10.610 * [taylor]: Taking taylor expansion of 1.0 in x 10.610 * [backup-simplify]: Simplify 1.0 into 1.0 10.610 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 10.610 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 10.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.610 * [taylor]: Taking taylor expansion of x in x 10.610 * [backup-simplify]: Simplify 0 into 0 10.611 * [backup-simplify]: Simplify 1 into 1 10.611 * [backup-simplify]: Simplify (/ 1 1) into 1 10.611 * [backup-simplify]: Simplify (sqrt 0) into 0 10.612 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.612 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 10.612 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 10.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.612 * [taylor]: Taking taylor expansion of x in x 10.612 * [backup-simplify]: Simplify 0 into 0 10.612 * [backup-simplify]: Simplify 1 into 1 10.612 * [backup-simplify]: Simplify (/ 1 1) into 1 10.612 * [taylor]: Taking taylor expansion of 1.0 in x 10.612 * [backup-simplify]: Simplify 1.0 into 1.0 10.613 * [backup-simplify]: Simplify (+ 1 0) into 1 10.613 * [backup-simplify]: Simplify (sqrt 0) into 0 10.614 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.614 * [backup-simplify]: Simplify (+ 0 0) into 0 10.614 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.615 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 10.615 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 10.615 * [taylor]: Taking taylor expansion of 1.0 in x 10.615 * [backup-simplify]: Simplify 1.0 into 1.0 10.615 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 10.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 10.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.615 * [taylor]: Taking taylor expansion of x in x 10.615 * [backup-simplify]: Simplify 0 into 0 10.615 * [backup-simplify]: Simplify 1 into 1 10.615 * [backup-simplify]: Simplify (/ 1 1) into 1 10.615 * [backup-simplify]: Simplify (sqrt 0) into 0 10.616 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.616 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 10.616 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 10.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.616 * [taylor]: Taking taylor expansion of x in x 10.616 * [backup-simplify]: Simplify 0 into 0 10.616 * [backup-simplify]: Simplify 1 into 1 10.616 * [backup-simplify]: Simplify (/ 1 1) into 1 10.616 * [taylor]: Taking taylor expansion of 1.0 in x 10.616 * [backup-simplify]: Simplify 1.0 into 1.0 10.617 * [backup-simplify]: Simplify (+ 1 0) into 1 10.617 * [backup-simplify]: Simplify (sqrt 0) into 0 10.618 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.619 * [backup-simplify]: Simplify (+ 0 0) into 0 10.619 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.620 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 10.620 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.624 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.625 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.628 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.628 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.631 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 10.631 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.635 * [backup-simplify]: Simplify (+ 0 0) into 0 10.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.638 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.641 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 10.642 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.642 * [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))))) 10.643 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 10.643 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 10.643 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 10.643 * [taylor]: Taking taylor expansion of 1.0 in x 10.643 * [backup-simplify]: Simplify 1.0 into 1.0 10.643 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 10.643 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 10.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.643 * [taylor]: Taking taylor expansion of -1 in x 10.643 * [backup-simplify]: Simplify -1 into -1 10.643 * [taylor]: Taking taylor expansion of x in x 10.643 * [backup-simplify]: Simplify 0 into 0 10.643 * [backup-simplify]: Simplify 1 into 1 10.643 * [backup-simplify]: Simplify (/ -1 1) into -1 10.643 * [backup-simplify]: Simplify (sqrt 0) into 0 10.644 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.644 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 10.644 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 10.644 * [taylor]: Taking taylor expansion of 1.0 in x 10.644 * [backup-simplify]: Simplify 1.0 into 1.0 10.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.644 * [taylor]: Taking taylor expansion of x in x 10.644 * [backup-simplify]: Simplify 0 into 0 10.644 * [backup-simplify]: Simplify 1 into 1 10.645 * [backup-simplify]: Simplify (/ 1 1) into 1 10.645 * [backup-simplify]: Simplify (- 1) into -1 10.645 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.645 * [backup-simplify]: Simplify (sqrt 0) into 0 10.646 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.646 * [backup-simplify]: Simplify (+ 0 0) into 0 10.647 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.647 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 10.647 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 10.647 * [taylor]: Taking taylor expansion of 1.0 in x 10.647 * [backup-simplify]: Simplify 1.0 into 1.0 10.647 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 10.647 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 10.647 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.647 * [taylor]: Taking taylor expansion of -1 in x 10.647 * [backup-simplify]: Simplify -1 into -1 10.647 * [taylor]: Taking taylor expansion of x in x 10.647 * [backup-simplify]: Simplify 0 into 0 10.647 * [backup-simplify]: Simplify 1 into 1 10.648 * [backup-simplify]: Simplify (/ -1 1) into -1 10.648 * [backup-simplify]: Simplify (sqrt 0) into 0 10.649 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.649 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 10.649 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 10.649 * [taylor]: Taking taylor expansion of 1.0 in x 10.649 * [backup-simplify]: Simplify 1.0 into 1.0 10.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.649 * [taylor]: Taking taylor expansion of x in x 10.649 * [backup-simplify]: Simplify 0 into 0 10.649 * [backup-simplify]: Simplify 1 into 1 10.649 * [backup-simplify]: Simplify (/ 1 1) into 1 10.650 * [backup-simplify]: Simplify (- 1) into -1 10.650 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.650 * [backup-simplify]: Simplify (sqrt 0) into 0 10.651 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.651 * [backup-simplify]: Simplify (+ 0 0) into 0 10.651 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.652 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 10.652 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.655 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.656 * [backup-simplify]: Simplify (- 0) into 0 10.656 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.658 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.658 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.661 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 10.661 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.667 * [backup-simplify]: Simplify (- 0) into 0 10.667 * [backup-simplify]: Simplify (+ 0 0) into 0 10.671 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.672 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.678 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 10.678 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.679 * [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))))) 10.679 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 10.679 * [backup-simplify]: Simplify (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) into (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) 10.679 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 10.679 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 10.679 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 10.680 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 10.680 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 10.680 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 10.680 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 10.680 * [taylor]: Taking taylor expansion of x in x 10.680 * [backup-simplify]: Simplify 0 into 0 10.680 * [backup-simplify]: Simplify 1 into 1 10.680 * [taylor]: Taking taylor expansion of 1.0 in x 10.680 * [backup-simplify]: Simplify 1.0 into 1.0 10.680 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.681 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.681 * [backup-simplify]: Simplify (+ 1 0) into 1 10.683 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 10.683 * [taylor]: Taking taylor expansion of (sqrt x) in x 10.683 * [taylor]: Taking taylor expansion of x in x 10.683 * [backup-simplify]: Simplify 0 into 0 10.683 * [backup-simplify]: Simplify 1 into 1 10.683 * [backup-simplify]: Simplify (sqrt 0) into 0 10.686 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.688 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 10.689 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 10.690 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 10.692 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 10.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 10.717 * [backup-simplify]: Simplify (/ (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 10.717 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 10.717 * [taylor]: Taking taylor expansion of 1.0 in x 10.717 * [backup-simplify]: Simplify 1.0 into 1.0 10.718 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 10.719 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 10.719 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 10.719 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 10.719 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 10.719 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 10.719 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 10.719 * [taylor]: Taking taylor expansion of x in x 10.719 * [backup-simplify]: Simplify 0 into 0 10.719 * [backup-simplify]: Simplify 1 into 1 10.719 * [taylor]: Taking taylor expansion of 1.0 in x 10.719 * [backup-simplify]: Simplify 1.0 into 1.0 10.719 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.720 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.720 * [backup-simplify]: Simplify (+ 1 0) into 1 10.722 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 10.722 * [taylor]: Taking taylor expansion of (sqrt x) in x 10.722 * [taylor]: Taking taylor expansion of x in x 10.722 * [backup-simplify]: Simplify 0 into 0 10.722 * [backup-simplify]: Simplify 1 into 1 10.722 * [backup-simplify]: Simplify (sqrt 0) into 0 10.724 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.725 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 10.725 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 10.727 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 10.728 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 10.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 10.754 * [backup-simplify]: Simplify (/ (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 10.754 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 10.754 * [taylor]: Taking taylor expansion of 1.0 in x 10.754 * [backup-simplify]: Simplify 1.0 into 1.0 10.754 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 10.758 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 1.0))) (sqrt 1.0)) into (sqrt (sqrt 1.0)) 10.759 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 10.778 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 1.0))) 0) (* (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) (sqrt 1.0))) into (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) 10.784 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) into (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) 10.784 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 10.785 * [backup-simplify]: Simplify (+ 0 0) into 0 10.788 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 10.790 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.791 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 10.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 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) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 10.866 * [backup-simplify]: Simplify (/ (- (- (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 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) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))))) 10.937 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 1.0))) 0) (+ (* (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 0) (* (* 1/2 (* (sqrt (sqrt 1.0)) (- (* 5/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))))) (sqrt 1.0)))) into (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) 10.966 * [backup-simplify]: Simplify (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) into (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) 11.002 * [backup-simplify]: Simplify (+ (* (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) x) (sqrt (sqrt 1.0)))) into (- (+ (* 5/32 (* (sqrt (/ 1 (pow (sqrt 1.0) 7))) (pow x 2))) (sqrt (sqrt 1.0))) (+ (* +nan.0 (* (sqrt (/ 1 (sqrt 1.0))) x)) (- (* 1/4 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) x)) (+ (* +nan.0 (* (sqrt (/ 1 (sqrt 1.0))) (pow x 2))) (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) (pow x 2))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (pow x 2)))))))))) 11.002 * [backup-simplify]: Simplify (sqrt (/ 1.0 (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))))) into (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) 11.002 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in (x) around 0 11.002 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 11.002 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 11.002 * [taylor]: Taking taylor expansion of 1.0 in x 11.002 * [backup-simplify]: Simplify 1.0 into 1.0 11.002 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.003 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 11.003 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 11.003 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 11.003 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 11.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.003 * [taylor]: Taking taylor expansion of x in x 11.003 * [backup-simplify]: Simplify 0 into 0 11.003 * [backup-simplify]: Simplify 1 into 1 11.003 * [backup-simplify]: Simplify (/ 1 1) into 1 11.003 * [backup-simplify]: Simplify (sqrt 0) into 0 11.004 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.004 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 11.004 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 11.004 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.004 * [taylor]: Taking taylor expansion of x in x 11.004 * [backup-simplify]: Simplify 0 into 0 11.004 * [backup-simplify]: Simplify 1 into 1 11.005 * [backup-simplify]: Simplify (/ 1 1) into 1 11.005 * [taylor]: Taking taylor expansion of 1.0 in x 11.005 * [backup-simplify]: Simplify 1.0 into 1.0 11.005 * [backup-simplify]: Simplify (+ 1 0) into 1 11.005 * [backup-simplify]: Simplify (sqrt 0) into 0 11.006 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.006 * [backup-simplify]: Simplify (+ 0 0) into 0 11.006 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.007 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 11.007 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 11.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.010 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.010 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.012 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.013 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.014 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 11.016 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 11.016 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 11.016 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 11.016 * [taylor]: Taking taylor expansion of 1.0 in x 11.016 * [backup-simplify]: Simplify 1.0 into 1.0 11.016 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.017 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 11.017 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 11.017 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 11.017 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 11.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.017 * [taylor]: Taking taylor expansion of x in x 11.017 * [backup-simplify]: Simplify 0 into 0 11.017 * [backup-simplify]: Simplify 1 into 1 11.017 * [backup-simplify]: Simplify (/ 1 1) into 1 11.017 * [backup-simplify]: Simplify (sqrt 0) into 0 11.018 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.018 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 11.018 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 11.018 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.018 * [taylor]: Taking taylor expansion of x in x 11.018 * [backup-simplify]: Simplify 0 into 0 11.018 * [backup-simplify]: Simplify 1 into 1 11.018 * [backup-simplify]: Simplify (/ 1 1) into 1 11.018 * [taylor]: Taking taylor expansion of 1.0 in x 11.018 * [backup-simplify]: Simplify 1.0 into 1.0 11.019 * [backup-simplify]: Simplify (+ 1 0) into 1 11.019 * [backup-simplify]: Simplify (sqrt 0) into 0 11.020 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.020 * [backup-simplify]: Simplify (+ 0 0) into 0 11.020 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.021 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 11.021 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 11.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.023 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.024 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.026 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.027 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.030 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 11.032 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 11.033 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt +nan.0)) into (* (sqrt 1.0) (sqrt +nan.0)) 11.034 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt +nan.0)) into (* (sqrt 1.0) (sqrt +nan.0)) 11.038 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 11.041 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 11.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.047 * [backup-simplify]: Simplify (+ 0 0) into 0 11.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.051 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.059 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 11.065 * [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))) 11.066 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 11.080 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 11.089 * [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)))))) 11.103 * [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 1.0) (sqrt +nan.0)))) into (- (* (sqrt 1.0) (sqrt +nan.0)) (+ (* +nan.0 (/ (sqrt 1.0) (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ (sqrt 1.0) (* x (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt 1.0) (* (pow x 2) (sqrt +nan.0))))))))) 11.103 * [backup-simplify]: Simplify (sqrt (/ 1.0 (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x)))))) into (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 11.103 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 11.103 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 11.103 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 11.103 * [taylor]: Taking taylor expansion of 1.0 in x 11.103 * [backup-simplify]: Simplify 1.0 into 1.0 11.103 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.104 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 11.104 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 11.104 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 11.104 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 11.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.104 * [taylor]: Taking taylor expansion of -1 in x 11.104 * [backup-simplify]: Simplify -1 into -1 11.104 * [taylor]: Taking taylor expansion of x in x 11.104 * [backup-simplify]: Simplify 0 into 0 11.104 * [backup-simplify]: Simplify 1 into 1 11.105 * [backup-simplify]: Simplify (/ -1 1) into -1 11.105 * [backup-simplify]: Simplify (sqrt 0) into 0 11.106 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.106 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 11.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 11.107 * [taylor]: Taking taylor expansion of 1.0 in x 11.107 * [backup-simplify]: Simplify 1.0 into 1.0 11.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.107 * [taylor]: Taking taylor expansion of x in x 11.107 * [backup-simplify]: Simplify 0 into 0 11.107 * [backup-simplify]: Simplify 1 into 1 11.107 * [backup-simplify]: Simplify (/ 1 1) into 1 11.108 * [backup-simplify]: Simplify (- 1) into -1 11.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.108 * [backup-simplify]: Simplify (sqrt 0) into 0 11.110 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.110 * [backup-simplify]: Simplify (+ 0 0) into 0 11.111 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.111 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 11.112 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 11.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.115 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.116 * [backup-simplify]: Simplify (- 0) into 0 11.117 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.120 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.120 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.123 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 11.125 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 11.125 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 11.125 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 11.125 * [taylor]: Taking taylor expansion of 1.0 in x 11.125 * [backup-simplify]: Simplify 1.0 into 1.0 11.125 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.126 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 11.126 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 11.126 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 11.126 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 11.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.126 * [taylor]: Taking taylor expansion of -1 in x 11.126 * [backup-simplify]: Simplify -1 into -1 11.126 * [taylor]: Taking taylor expansion of x in x 11.126 * [backup-simplify]: Simplify 0 into 0 11.126 * [backup-simplify]: Simplify 1 into 1 11.126 * [backup-simplify]: Simplify (/ -1 1) into -1 11.127 * [backup-simplify]: Simplify (sqrt 0) into 0 11.128 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.128 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 11.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 11.128 * [taylor]: Taking taylor expansion of 1.0 in x 11.128 * [backup-simplify]: Simplify 1.0 into 1.0 11.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.128 * [taylor]: Taking taylor expansion of x in x 11.128 * [backup-simplify]: Simplify 0 into 0 11.128 * [backup-simplify]: Simplify 1 into 1 11.129 * [backup-simplify]: Simplify (/ 1 1) into 1 11.129 * [backup-simplify]: Simplify (- 1) into -1 11.129 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.130 * [backup-simplify]: Simplify (sqrt 0) into 0 11.131 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.131 * [backup-simplify]: Simplify (+ 0 0) into 0 11.132 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.133 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 11.133 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 11.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.137 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.138 * [backup-simplify]: Simplify (- 0) into 0 11.138 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.141 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.141 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.144 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 11.146 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 11.147 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt +nan.0)) into (* (sqrt 1.0) (sqrt +nan.0)) 11.148 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt +nan.0)) into (* (sqrt 1.0) (sqrt +nan.0)) 11.152 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 11.155 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 11.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.161 * [backup-simplify]: Simplify (- 0) into 0 11.161 * [backup-simplify]: Simplify (+ 0 0) into 0 11.165 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.165 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.168 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 11.172 * [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))) 11.172 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 11.181 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 11.187 * [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)))))) 11.195 * [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 1.0) (sqrt +nan.0)))) into (- (* (sqrt 1.0) (sqrt +nan.0)) (+ (* +nan.0 (/ (sqrt 1.0) (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ (sqrt 1.0) (* x (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt 1.0) (* (pow x 2) (sqrt +nan.0))))))))) 11.195 * * * [progress]: simplifying candidates 11.203 * [simplify]: Simplifying: (expm1 (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (log1p (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (+ 1 1) (+ (log (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (log (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (log (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (exp (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (* (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))))) (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (* (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))))) (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (* (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (* (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))))) (* (sqrt (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))))) (* (sqrt (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 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328013 12.758 * * [simplify]: Extracting #6: cost 107 inf + 430213 12.922 * * [simplify]: Extracting #7: cost 9 inf + 500635 13.047 * * [simplify]: Extracting #8: cost 0 inf + 501413 13.207 * * [simplify]: Extracting #9: cost 0 inf + 500728 13.360 * [simplify]: Simplified to: (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 1 2 1 1 (* (/ 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))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 2 (log (/ 1.0 (+ (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 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 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))))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ 1.0 (+ (sqrt (+ x 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[progress]: adding candidates to table 14.403 * [progress]: [Phase 3 of 3] Extracting. 14.404 * * [regime]: Finding splitpoints for: (# # # # # # #) 14.407 * * * [regime-changes]: Trying 1 branch expressions: (x) 14.407 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 14.488 * * * [regime]: Found split indices: #