63.240 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.100 * * * [progress]: [2/2] Setting up program. 0.106 * [progress]: [Phase 2 of 3] Improving. 0.107 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1.0)))) 0.107 * * [simplify]: iteration 0: 7 enodes 0.110 * * [simplify]: iteration 1: 10 enodes 0.113 * * [simplify]: iteration 2: 11 enodes 0.117 * * [simplify]: iteration complete: 11 enodes 0.117 * * [simplify]: Extracting #0: cost 1 inf + 0 0.117 * * [simplify]: Extracting #1: cost 2 inf + 0 0.117 * * [simplify]: Extracting #2: cost 4 inf + 0 0.117 * * [simplify]: Extracting #3: cost 4 inf + 1 0.117 * * [simplify]: Extracting #4: cost 7 inf + 1 0.117 * * [simplify]: Extracting #5: cost 0 inf + 682 0.117 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.118 * * [progress]: iteration 1 / 4 0.118 * * * [progress]: picking best candidate 0.124 * * * * [pick]: Picked # 0.124 * * * [progress]: localizing error 0.178 * * * [progress]: generating rewritten candidates 0.178 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.194 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.212 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 0.219 * * * [progress]: generating series expansions 0.219 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.219 * [backup-simplify]: Simplify (sqrt (- (* x x) 1.0)) into (sqrt (- (pow x 2) 1.0)) 0.219 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.219 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.219 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.219 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [taylor]: Taking taylor expansion of 1.0 in x 0.220 * [backup-simplify]: Simplify 1.0 into 1.0 0.220 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.221 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.221 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.222 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.222 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [backup-simplify]: Simplify 1.0 into 1.0 0.223 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.223 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.224 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.225 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.225 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (* 1 1) into 1 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.228 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.229 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- 1.0))) into (/ 1/2 (sqrt (- 1.0))) 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- 1.0))))))) (* 2 (sqrt (- 1.0)))) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (- 1.0))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0)))) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.238 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (- 1.0)) 3)) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.241 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (- 1.0)) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt (- 1.0))) (pow x 2)) (sqrt (- 1.0)))) into (- (+ (sqrt (- 1.0)) (* 1/2 (/ (pow x 2) (sqrt (- 1.0))))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) 0.242 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.242 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.242 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [backup-simplify]: Simplify 1.0 into 1.0 0.242 * [backup-simplify]: Simplify (+ 1 0) into 1 0.243 * [backup-simplify]: Simplify (sqrt 1) into 1 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.244 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.244 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (* 1 1) into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [taylor]: Taking taylor expansion of 1.0 in x 0.245 * [backup-simplify]: Simplify 1.0 into 1.0 0.245 * [backup-simplify]: Simplify (+ 1 0) into 1 0.245 * [backup-simplify]: Simplify (sqrt 1) into 1 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.249 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.251 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.251 * [backup-simplify]: Simplify -0.5 into -0.5 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.262 * [backup-simplify]: Simplify -0.125 into -0.125 0.262 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 x) 3)) (+ (* -0.5 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) 0.263 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.263 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.263 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [backup-simplify]: Simplify 1.0 into 1.0 0.264 * [backup-simplify]: Simplify (+ 1 0) into 1 0.264 * [backup-simplify]: Simplify (sqrt 1) into 1 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.265 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.265 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of 1.0 in x 0.266 * [backup-simplify]: Simplify 1.0 into 1.0 0.266 * [backup-simplify]: Simplify (+ 1 0) into 1 0.267 * [backup-simplify]: Simplify (sqrt 1) into 1 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.270 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.272 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.272 * [backup-simplify]: Simplify -0.5 into -0.5 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.278 * [backup-simplify]: Simplify -0.125 into -0.125 0.279 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* -0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x))) x) 0.279 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.279 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1.0))) into (+ x (sqrt (- (pow x 2) 1.0))) 0.279 * [approximate]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1.0))) in (x) around 0 0.279 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1.0))) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.279 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [backup-simplify]: Simplify 1.0 into 1.0 0.279 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.280 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.280 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.281 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1.0))) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.281 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [backup-simplify]: Simplify 1.0 into 1.0 0.282 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.282 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.283 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.284 * [backup-simplify]: Simplify (+ 0 (sqrt (- 1.0))) into (sqrt (- 1.0)) 0.285 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.285 * [backup-simplify]: Simplify (+ 1 0) into 1 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 1 0) into 1 0.288 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.289 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt (- 1.0)))) into (* 1/2 (/ 1 (sqrt (- 1.0)))) 0.290 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.293 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt (- 1.0))) (pow x 2)) (+ (* 1 x) (sqrt (- 1.0)))) into (+ x (+ (sqrt (- 1.0)) (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))))) 0.293 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0))) into (+ (/ 1 x) (sqrt (- (/ 1 (pow x 2)) 1.0))) 0.293 * [approximate]: Taking taylor expansion of (+ (/ 1 x) (sqrt (- (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (sqrt (- (/ 1 (pow x 2)) 1.0))) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.294 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (* 1 1) into 1 0.295 * [backup-simplify]: Simplify (/ 1 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 (+ 1 0) into 1 0.296 * [backup-simplify]: Simplify (sqrt 1) into 1 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (sqrt (- (/ 1 (pow x 2)) 1.0))) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.299 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.300 * [backup-simplify]: Simplify 1.0 into 1.0 0.300 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (sqrt 1) into 1 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.304 * [backup-simplify]: Simplify (+ 1 1) into 2 0.304 * [backup-simplify]: Simplify 2 into 2 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.309 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.312 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.312 * [backup-simplify]: Simplify (+ 0 -0.5) into (- 0.5) 0.312 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.321 * [backup-simplify]: Simplify (+ 0 -0.125) into (- 0.125) 0.321 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.322 * [backup-simplify]: Simplify (+ (* (- 0.125) (pow (/ 1 x) 3)) (+ (* (- 0.5) (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) 0.322 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0))) into (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.322 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.322 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.322 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [backup-simplify]: Simplify 1.0 into 1.0 0.323 * [backup-simplify]: Simplify (+ 1 0) into 1 0.324 * [backup-simplify]: Simplify (sqrt 1) into 1 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.326 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (* 1 1) into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [backup-simplify]: Simplify 1.0 into 1.0 0.327 * [backup-simplify]: Simplify (+ 1 0) into 1 0.327 * [backup-simplify]: Simplify (sqrt 1) into 1 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [backup-simplify]: Simplify (- 1) into -1 0.330 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.333 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.335 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.336 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.344 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.125)) (* 2 (* -0.5 0)))) (* 2 1)) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (- 0) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify (+ -0.0625 0) into (- 0.0625) 0.359 * [backup-simplify]: Simplify (- 0.0625) into (- 0.0625) 0.360 * [backup-simplify]: Simplify (+ (* (- 0.0625) (pow (/ 1 (- x)) 5)) (+ (* (- 0.125) (pow (/ 1 (- x)) 3)) (* (- 0.5) (/ 1 (- x))))) into (+ (* 0.0625 (/ 1 (pow x 5))) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) 0.360 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 0.361 * [backup-simplify]: Simplify (- (* x x) 1.0) into (- (pow x 2) 1.0) 0.361 * [approximate]: Taking taylor expansion of (- (pow x 2) 1.0) in (x) around 0 0.361 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [backup-simplify]: Simplify 1.0 into 1.0 0.361 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [backup-simplify]: Simplify 1.0 into 1.0 0.361 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.362 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.362 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.362 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ 1 0) into 1 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.368 * [backup-simplify]: Simplify (- 0) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.370 * [backup-simplify]: Simplify (- 0) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (- 1.0)) into (- (pow x 2) 1.0) 0.370 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) 1.0) into (- (/ 1 (pow x 2)) 1.0) 0.370 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.370 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of 1.0 in x 0.371 * [backup-simplify]: Simplify 1.0 into 1.0 0.371 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [backup-simplify]: Simplify 1.0 into 1.0 0.372 * [backup-simplify]: Simplify (+ 1 0) into 1 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.375 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.375 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- 0) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (- 0) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (+ (- 1.0) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (- (pow x 2) 1.0) 0.386 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0) into (- (/ 1 (pow x 2)) 1.0) 0.386 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (* 1 1) into 1 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [backup-simplify]: Simplify 1.0 into 1.0 0.387 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (* 1 1) into 1 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [backup-simplify]: Simplify 1.0 into 1.0 0.388 * [backup-simplify]: Simplify (+ 1 0) into 1 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.391 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.391 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (- 0) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (- 0) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- 0) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (- 0) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (+ (- 1.0) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (- (pow x 2) 1.0) 0.412 * * * [progress]: simplifying candidates 0.413 * [simplify]: Simplifying: (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (* (exp x) (exp (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))) (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (/ (exp (* x x)) (exp 1.0)) (log (- (* x x) 1.0)) (exp (- (* x x) 1.0)) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0))) (cbrt (- (* x x) 1.0)) (* (* (- (* x x) 1.0) (- (* x x) 1.0)) (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (- (pow (* x x) 3) (pow 1.0 3)) (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0))) (- 1.0) (- (* (* x x) (* x x)) (* 1.0 1.0)) (+ (* x x) 1.0) (+ x (sqrt 1.0)) (- x (sqrt 1.0)) (- 1.0) (- (+ (sqrt (- 1.0)) (* 1/2 (/ (pow x 2) (sqrt (- 1.0))))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) (- (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x))) x) (+ x (+ (sqrt (- 1.0)) (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))))) (- (* 2 x) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) (+ (* 0.0625 (/ 1 (pow x 5))) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) 0.415 * * [simplify]: iteration 0: 98 enodes 0.437 * * [simplify]: iteration 1: 232 enodes 0.506 * * [simplify]: iteration 2: 620 enodes 0.871 * * [simplify]: iteration 3: 1994 enodes 1.680 * * [simplify]: iteration complete: 5002 enodes 1.680 * * [simplify]: Extracting #0: cost 47 inf + 0 1.680 * * [simplify]: Extracting #1: cost 276 inf + 44 1.688 * * [simplify]: Extracting #2: cost 845 inf + 1925 1.705 * * [simplify]: Extracting #3: cost 1184 inf + 31233 1.752 * * [simplify]: Extracting #4: cost 635 inf + 163174 1.839 * * [simplify]: Extracting #5: cost 162 inf + 331840 1.911 * * [simplify]: Extracting #6: cost 35 inf + 369968 1.987 * * [simplify]: Extracting #7: cost 4 inf + 377223 2.067 * * [simplify]: Extracting #8: cost 0 inf + 378233 2.155 * [simplify]: Simplified to: (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (- (* x x) 1.0) (sqrt (- (* x x) 1.0))) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) 1 (sqrt (- (* x x) 1.0)) (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))) (sqrt (- (* (* x (* x x)) (* x (* x x))) (* (* 1.0 1.0) 1.0))) (sqrt (+ (* 1.0 1.0) (* (* x x) (+ (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) 1/2 (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (exp (+ (sqrt (- (* x x) 1.0)) x)) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ (sqrt (- (* x x) 1.0)) x)) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (* x (* x x)) (* (- (* x x) 1.0) (sqrt (- (* x x) 1.0)))) (+ (- (- (* x x) 1.0) (* (sqrt (- (* x x) 1.0)) x)) (* x x)) 1.0 (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (exp (- (* x x) 1.0)) (log (- (* x x) 1.0)) (exp (- (* x x) 1.0)) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0))) (cbrt (- (* x x) 1.0)) (* (- (* x x) 1.0) (* (- (* x x) 1.0) (- (* x x) 1.0))) (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (- (* (* x (* x x)) (* x (* x x))) (* (* 1.0 1.0) 1.0)) (+ (* 1.0 1.0) (* (* x x) (+ (* x x) 1.0))) (- 1.0) (- (* (* x x) (* x x)) (* 1.0 1.0)) (+ (* x x) 1.0) (+ (sqrt 1.0) x) (- x (sqrt 1.0)) (- 1.0) (+ (* (/ (* x x) (sqrt (- 1.0))) (- 1/2 (* (/ (* x x) (- 1.0)) 1/8))) (sqrt (- 1.0))) (- (- x (/ (/ 0.125 x) (* x x))) (/ 0.5 x)) (+ (/ 0.5 x) (- (/ (/ 0.125 x) (* x x)) x)) (+ (sqrt (- 1.0)) (+ x (/ (* x x) (* (sqrt (- 1.0)) 2)))) (- (- (+ x x) (/ 0.5 x)) (/ (/ 0.125 x) (* x x))) (+ (+ (/ 0.5 x) (/ 0.0625 (pow x 5))) (/ (/ 0.125 x) (* x x))) (- (* x x) 1.0) (- (* x x) 1.0) (- (* x x) 1.0) 2.160 * * * [progress]: adding candidates to table 2.377 * * [progress]: iteration 2 / 4 2.377 * * * [progress]: picking best candidate 2.386 * * * * [pick]: Picked # 2.386 * * * [progress]: localizing error 2.401 * * * [progress]: generating rewritten candidates 2.401 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 2.457 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.465 * * * [progress]: generating series expansions 2.465 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 2.466 * [backup-simplify]: Simplify (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) into (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) 2.467 * [approximate]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in (x) around 0 2.467 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in x 2.467 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) in x 2.467 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 2.467 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.467 * [taylor]: Taking taylor expansion of 1.0 in x 2.467 * [backup-simplify]: Simplify 1.0 into 1.0 2.467 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.467 * [taylor]: Taking taylor expansion of x in x 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 1 into 1 2.467 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.467 * [taylor]: Taking taylor expansion of x in x 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 1 into 1 2.467 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.467 * [taylor]: Taking taylor expansion of 1.0 in x 2.467 * [backup-simplify]: Simplify 1.0 into 1.0 2.468 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.469 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.469 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.470 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.471 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 2.472 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.473 * [backup-simplify]: Simplify (- 0) into 0 2.473 * [backup-simplify]: Simplify (+ 1 0) into 1 2.473 * [backup-simplify]: Simplify (+ 0 1) into 1 2.475 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 2.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 2.476 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in x 2.476 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) in x 2.476 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 2.476 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.476 * [taylor]: Taking taylor expansion of 1.0 in x 2.476 * [backup-simplify]: Simplify 1.0 into 1.0 2.476 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.476 * [taylor]: Taking taylor expansion of x in x 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify 1 into 1 2.476 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.476 * [taylor]: Taking taylor expansion of x in x 2.476 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify 1 into 1 2.477 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.477 * [taylor]: Taking taylor expansion of 1.0 in x 2.477 * [backup-simplify]: Simplify 1.0 into 1.0 2.477 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.478 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.478 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.479 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.480 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 2.482 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.482 * [backup-simplify]: Simplify (- 0) into 0 2.482 * [backup-simplify]: Simplify (+ 1 0) into 1 2.482 * [backup-simplify]: Simplify (+ 0 1) into 1 2.485 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 2.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 2.489 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.489 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.491 * [backup-simplify]: Simplify (- 0) into 0 2.491 * [backup-simplify]: Simplify (+ 0 0) into 0 2.492 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.493 * [backup-simplify]: Simplify (+ 0 0) into 0 2.494 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 2.500 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2.504 * [backup-simplify]: Simplify (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.505 * [backup-simplify]: Simplify (- 0) into 0 2.506 * [backup-simplify]: Simplify (+ 0 0) into 0 2.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.507 * [backup-simplify]: Simplify (+ 0 0) into 0 2.508 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- (sqrt 1.0)))))) into 0 2.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))))))) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 2.509 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.510 * [backup-simplify]: Simplify (- 0) into 0 2.510 * [backup-simplify]: Simplify (+ 0 0) into 0 2.511 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.511 * [backup-simplify]: Simplify (+ 0 0) into 0 2.512 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- (sqrt 1.0))))))) into 0 2.520 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) 2.523 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) into (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) 2.529 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) (pow x 2)) (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (- (+ (sqrt (* -1 (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2)))))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) 2.530 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 x) (sqrt 1.0))) (sqrt (- (/ 1 x) (sqrt 1.0)))) into (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) 2.530 * [approximate]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in (x) around 0 2.530 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in x 2.530 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0))) in x 2.530 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.530 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.530 * [taylor]: Taking taylor expansion of 1.0 in x 2.530 * [backup-simplify]: Simplify 1.0 into 1.0 2.530 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.531 * [taylor]: Taking taylor expansion of x in x 2.531 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify 1 into 1 2.531 * [backup-simplify]: Simplify (/ 1 1) into 1 2.531 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.531 * [taylor]: Taking taylor expansion of x in x 2.531 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify 1 into 1 2.531 * [backup-simplify]: Simplify (/ 1 1) into 1 2.531 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.531 * [taylor]: Taking taylor expansion of 1.0 in x 2.531 * [backup-simplify]: Simplify 1.0 into 1.0 2.532 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.532 * [backup-simplify]: Simplify (+ 0 1) into 1 2.533 * [backup-simplify]: Simplify (+ 1 0) into 1 2.533 * [backup-simplify]: Simplify (* 1 1) into 1 2.533 * [backup-simplify]: Simplify (sqrt 1) into 1 2.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.534 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.535 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.536 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.539 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 1.0))) (* (sqrt 1.0) 1)) into 0 2.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.540 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in x 2.540 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0))) in x 2.540 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.540 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.540 * [taylor]: Taking taylor expansion of 1.0 in x 2.540 * [backup-simplify]: Simplify 1.0 into 1.0 2.541 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.541 * [taylor]: Taking taylor expansion of x in x 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 1 into 1 2.542 * [backup-simplify]: Simplify (/ 1 1) into 1 2.542 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.542 * [taylor]: Taking taylor expansion of x in x 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 1 into 1 2.542 * [backup-simplify]: Simplify (/ 1 1) into 1 2.542 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.542 * [taylor]: Taking taylor expansion of 1.0 in x 2.543 * [backup-simplify]: Simplify 1.0 into 1.0 2.543 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.544 * [backup-simplify]: Simplify (+ 0 1) into 1 2.544 * [backup-simplify]: Simplify (+ 1 0) into 1 2.545 * [backup-simplify]: Simplify (* 1 1) into 1 2.545 * [backup-simplify]: Simplify (sqrt 1) into 1 2.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.547 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.548 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.550 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.553 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 1.0))) (* (sqrt 1.0) 1)) into 0 2.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.554 * [backup-simplify]: Simplify 1 into 1 2.554 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.555 * [backup-simplify]: Simplify (- 0) into 0 2.555 * [backup-simplify]: Simplify (+ 0 0) into 0 2.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.557 * [backup-simplify]: Simplify (+ 0 0) into 0 2.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) (- (sqrt 1.0))) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 2.573 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 2.575 * [backup-simplify]: Simplify (* -1/2 (pow (sqrt 1.0) 2)) into (* -1/2 (pow (sqrt 1.0) 2)) 2.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.577 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.578 * [backup-simplify]: Simplify (- 0) into 0 2.578 * [backup-simplify]: Simplify (+ 0 0) into 0 2.579 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.581 * [backup-simplify]: Simplify (+ 0 0) into 0 2.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 (- (sqrt 1.0))) (* 0 1)))) into 0 2.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.587 * [backup-simplify]: Simplify (- 0) into 0 2.587 * [backup-simplify]: Simplify (+ 0 0) into 0 2.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.590 * [backup-simplify]: Simplify (+ 0 0) into 0 2.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 (- (sqrt 1.0))) (* 0 1))))) into 0 2.600 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (pow (sqrt 1.0) 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/8 (pow (sqrt 1.0) 4)) 2.602 * [backup-simplify]: Simplify (* -1/8 (pow (sqrt 1.0) 4)) into (* -1/8 (pow (sqrt 1.0) 4)) 2.606 * [backup-simplify]: Simplify (+ (* (* -1/8 (pow (sqrt 1.0) 4)) (pow (/ 1 x) 3)) (+ (* (* -1/2 (pow (sqrt 1.0) 2)) (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 2.607 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) (sqrt (- (/ 1 (- x)) (sqrt 1.0)))) into (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) 2.607 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 2.607 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 2.607 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.607 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.607 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.607 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.607 * [taylor]: Taking taylor expansion of 1.0 in x 2.607 * [backup-simplify]: Simplify 1.0 into 1.0 2.608 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.609 * [taylor]: Taking taylor expansion of x in x 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.609 * [backup-simplify]: Simplify (/ 1 1) into 1 2.609 * [backup-simplify]: Simplify (+ 0 1) into 1 2.610 * [backup-simplify]: Simplify (- 1) into -1 2.610 * [backup-simplify]: Simplify (sqrt 0) into 0 2.611 * [backup-simplify]: Simplify (- 1) into -1 2.612 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.612 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.612 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.612 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.612 * [taylor]: Taking taylor expansion of 1.0 in x 2.612 * [backup-simplify]: Simplify 1.0 into 1.0 2.613 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.614 * [taylor]: Taking taylor expansion of x in x 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify 1 into 1 2.614 * [backup-simplify]: Simplify (/ 1 1) into 1 2.614 * [backup-simplify]: Simplify (- 1) into -1 2.615 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.615 * [backup-simplify]: Simplify (sqrt 0) into 0 2.616 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.616 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 2.616 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.616 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.617 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.617 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.617 * [taylor]: Taking taylor expansion of 1.0 in x 2.617 * [backup-simplify]: Simplify 1.0 into 1.0 2.617 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.618 * [taylor]: Taking taylor expansion of x in x 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [backup-simplify]: Simplify (/ 1 1) into 1 2.619 * [backup-simplify]: Simplify (+ 0 1) into 1 2.619 * [backup-simplify]: Simplify (- 1) into -1 2.619 * [backup-simplify]: Simplify (sqrt 0) into 0 2.620 * [backup-simplify]: Simplify (- 1) into -1 2.621 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.621 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.621 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.621 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.621 * [taylor]: Taking taylor expansion of 1.0 in x 2.621 * [backup-simplify]: Simplify 1.0 into 1.0 2.621 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.622 * [taylor]: Taking taylor expansion of x in x 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 1 into 1 2.623 * [backup-simplify]: Simplify (/ 1 1) into 1 2.623 * [backup-simplify]: Simplify (- 1) into -1 2.623 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.624 * [backup-simplify]: Simplify (sqrt 0) into 0 2.625 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.625 * [backup-simplify]: Simplify (* 0 0) into 0 2.625 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.627 * [backup-simplify]: Simplify (- 0) into 0 2.628 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.632 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 2.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.633 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.634 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.638 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 2.644 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 2.644 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.645 * [backup-simplify]: Simplify (- 0) into 0 2.646 * [backup-simplify]: Simplify (+ 0 0) into 0 2.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.655 * [backup-simplify]: Simplify (+ 0 0) into 0 2.655 * [backup-simplify]: Simplify (- 0) into 0 2.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.679 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.682 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.684 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.685 * [backup-simplify]: Simplify (- 0) into 0 2.685 * [backup-simplify]: Simplify (+ 0 0) into 0 2.704 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (- (sqrt 1.0) +nan.0)) 2) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 2.704 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (+ 0 0) into 0 2.706 * [backup-simplify]: Simplify (- 0) into 0 2.722 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 2) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 2.747 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 2.751 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 2.759 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow x 2)))))))))))))) 2.759 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.759 * [backup-simplify]: Simplify (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) into (+ x (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))))) 2.759 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))))) in (x) around 0 2.759 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))))) in x 2.759 * [taylor]: Taking taylor expansion of x in x 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 1 into 1 2.759 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in x 2.759 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) in x 2.759 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 2.759 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.759 * [taylor]: Taking taylor expansion of 1.0 in x 2.759 * [backup-simplify]: Simplify 1.0 into 1.0 2.760 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.760 * [taylor]: Taking taylor expansion of x in x 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.760 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.760 * [taylor]: Taking taylor expansion of x in x 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.760 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.760 * [taylor]: Taking taylor expansion of 1.0 in x 2.760 * [backup-simplify]: Simplify 1.0 into 1.0 2.761 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.761 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.762 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.763 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.764 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 2.765 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.766 * [backup-simplify]: Simplify (- 0) into 0 2.766 * [backup-simplify]: Simplify (+ 1 0) into 1 2.766 * [backup-simplify]: Simplify (+ 0 1) into 1 2.769 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 2.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 2.770 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))))) in x 2.770 * [taylor]: Taking taylor expansion of x in x 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 1 into 1 2.770 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in x 2.771 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) in x 2.771 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 2.771 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.771 * [taylor]: Taking taylor expansion of 1.0 in x 2.771 * [backup-simplify]: Simplify 1.0 into 1.0 2.771 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.772 * [taylor]: Taking taylor expansion of x in x 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.772 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.772 * [taylor]: Taking taylor expansion of x in x 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.772 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.772 * [taylor]: Taking taylor expansion of 1.0 in x 2.772 * [backup-simplify]: Simplify 1.0 into 1.0 2.772 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.774 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.775 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.776 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.778 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 2.781 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.781 * [backup-simplify]: Simplify (- 0) into 0 2.782 * [backup-simplify]: Simplify (+ 1 0) into 1 2.782 * [backup-simplify]: Simplify (+ 0 1) into 1 2.785 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 2.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 2.790 * [backup-simplify]: Simplify (+ 0 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.793 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.794 * [backup-simplify]: Simplify (+ 1 0) into 1 2.794 * [backup-simplify]: Simplify 1 into 1 2.795 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.795 * [backup-simplify]: Simplify (- 0) into 0 2.796 * [backup-simplify]: Simplify (+ 0 0) into 0 2.797 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.797 * [backup-simplify]: Simplify (+ 0 0) into 0 2.798 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 2.805 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2.810 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) 2.815 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2.820 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) (pow x 2)) (+ (* 1 x) (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (+ (sqrt (* -1 (pow (sqrt 1.0) 2))) (+ x (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))))) 2.821 * [backup-simplify]: Simplify (+ (/ 1 x) (* (sqrt (+ (/ 1 x) (sqrt 1.0))) (sqrt (- (/ 1 x) (sqrt 1.0))))) into (+ (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) (/ 1 x)) 2.821 * [approximate]: Taking taylor expansion of (+ (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) (/ 1 x)) in (x) around 0 2.821 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) (/ 1 x)) in x 2.821 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in x 2.821 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0))) in x 2.821 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.821 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.821 * [taylor]: Taking taylor expansion of 1.0 in x 2.821 * [backup-simplify]: Simplify 1.0 into 1.0 2.821 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.822 * [taylor]: Taking taylor expansion of x in x 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 1 into 1 2.822 * [backup-simplify]: Simplify (/ 1 1) into 1 2.822 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.822 * [taylor]: Taking taylor expansion of x in x 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 1 into 1 2.822 * [backup-simplify]: Simplify (/ 1 1) into 1 2.822 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.822 * [taylor]: Taking taylor expansion of 1.0 in x 2.822 * [backup-simplify]: Simplify 1.0 into 1.0 2.823 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.823 * [backup-simplify]: Simplify (+ 0 1) into 1 2.824 * [backup-simplify]: Simplify (+ 1 0) into 1 2.824 * [backup-simplify]: Simplify (* 1 1) into 1 2.824 * [backup-simplify]: Simplify (sqrt 1) into 1 2.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.825 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.826 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.831 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.833 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 1.0))) (* (sqrt 1.0) 1)) into 0 2.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.834 * [taylor]: Taking taylor expansion of x in x 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 1 into 1 2.834 * [backup-simplify]: Simplify (/ 1 1) into 1 2.834 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) (/ 1 x)) in x 2.834 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in x 2.834 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0))) in x 2.834 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.834 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.834 * [taylor]: Taking taylor expansion of 1.0 in x 2.834 * [backup-simplify]: Simplify 1.0 into 1.0 2.834 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.835 * [taylor]: Taking taylor expansion of x in x 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (/ 1 1) into 1 2.835 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.835 * [taylor]: Taking taylor expansion of x in x 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (/ 1 1) into 1 2.835 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.835 * [taylor]: Taking taylor expansion of 1.0 in x 2.835 * [backup-simplify]: Simplify 1.0 into 1.0 2.836 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.837 * [backup-simplify]: Simplify (+ 0 1) into 1 2.837 * [backup-simplify]: Simplify (+ 1 0) into 1 2.837 * [backup-simplify]: Simplify (* 1 1) into 1 2.837 * [backup-simplify]: Simplify (sqrt 1) into 1 2.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.838 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.839 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.840 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.842 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 1.0))) (* (sqrt 1.0) 1)) into 0 2.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.842 * [taylor]: Taking taylor expansion of x in x 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (/ 1 1) into 1 2.843 * [backup-simplify]: Simplify (+ 1 1) into 2 2.843 * [backup-simplify]: Simplify 2 into 2 2.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.843 * [backup-simplify]: Simplify (+ 0 0) into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.844 * [backup-simplify]: Simplify (- 0) into 0 2.844 * [backup-simplify]: Simplify (+ 0 0) into 0 2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ 0 0) into 0 2.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) (- (sqrt 1.0))) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 2.851 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.855 * [backup-simplify]: Simplify (+ (* -1/2 (pow (sqrt 1.0) 2)) 0) into (- (* 1/2 (pow (sqrt 1.0) 2))) 2.857 * [backup-simplify]: Simplify (- (* 1/2 (pow (sqrt 1.0) 2))) into (- (* 1/2 (pow (sqrt 1.0) 2))) 2.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.861 * [backup-simplify]: Simplify (- 0) into 0 2.861 * [backup-simplify]: Simplify (+ 0 0) into 0 2.862 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.863 * [backup-simplify]: Simplify (+ 0 0) into 0 2.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 (- (sqrt 1.0))) (* 0 1)))) into 0 2.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 2.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.868 * [backup-simplify]: Simplify (+ 0 0) into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.871 * [backup-simplify]: Simplify (- 0) into 0 2.872 * [backup-simplify]: Simplify (+ 0 0) into 0 2.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (+ 0 0) into 0 2.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 (- (sqrt 1.0))) (* 0 1))))) into 0 2.884 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (pow (sqrt 1.0) 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/8 (pow (sqrt 1.0) 4)) 2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.887 * [backup-simplify]: Simplify (+ (* -1/8 (pow (sqrt 1.0) 4)) 0) into (- (* 1/8 (pow (sqrt 1.0) 4))) 2.889 * [backup-simplify]: Simplify (- (* 1/8 (pow (sqrt 1.0) 4))) into (- (* 1/8 (pow (sqrt 1.0) 4))) 2.894 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (pow (sqrt 1.0) 4))) (pow (/ 1 x) 3)) (+ (* (- (* 1/2 (pow (sqrt 1.0) 2))) (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 2.896 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) (sqrt (- (/ 1 (- x)) (sqrt 1.0))))) into (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 2.896 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 2.896 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 2.896 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 2.896 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.896 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.896 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.896 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.896 * [taylor]: Taking taylor expansion of 1.0 in x 2.896 * [backup-simplify]: Simplify 1.0 into 1.0 2.896 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.897 * [taylor]: Taking taylor expansion of x in x 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (/ 1 1) into 1 2.898 * [backup-simplify]: Simplify (+ 0 1) into 1 2.898 * [backup-simplify]: Simplify (- 1) into -1 2.898 * [backup-simplify]: Simplify (sqrt 0) into 0 2.899 * [backup-simplify]: Simplify (- 1) into -1 2.900 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.900 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.900 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.900 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.900 * [taylor]: Taking taylor expansion of 1.0 in x 2.900 * [backup-simplify]: Simplify 1.0 into 1.0 2.900 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.901 * [taylor]: Taking taylor expansion of x in x 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (/ 1 1) into 1 2.902 * [backup-simplify]: Simplify (- 1) into -1 2.902 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.903 * [backup-simplify]: Simplify (sqrt 0) into 0 2.904 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.904 * [taylor]: Taking taylor expansion of x in x 2.904 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify 1 into 1 2.904 * [backup-simplify]: Simplify (/ 1 1) into 1 2.904 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 2.904 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 2.904 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.904 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.904 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.904 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.904 * [taylor]: Taking taylor expansion of 1.0 in x 2.904 * [backup-simplify]: Simplify 1.0 into 1.0 2.905 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.905 * [taylor]: Taking taylor expansion of x in x 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify 1 into 1 2.906 * [backup-simplify]: Simplify (/ 1 1) into 1 2.906 * [backup-simplify]: Simplify (+ 0 1) into 1 2.906 * [backup-simplify]: Simplify (- 1) into -1 2.907 * [backup-simplify]: Simplify (sqrt 0) into 0 2.907 * [backup-simplify]: Simplify (- 1) into -1 2.908 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.908 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.908 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.908 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.908 * [taylor]: Taking taylor expansion of 1.0 in x 2.908 * [backup-simplify]: Simplify 1.0 into 1.0 2.909 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.909 * [taylor]: Taking taylor expansion of x in x 2.909 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (/ 1 1) into 1 2.910 * [backup-simplify]: Simplify (- 1) into -1 2.911 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.911 * [backup-simplify]: Simplify (sqrt 0) into 0 2.912 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.912 * [taylor]: Taking taylor expansion of x in x 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (/ 1 1) into 1 2.913 * [backup-simplify]: Simplify (* 0 0) into 0 2.913 * [backup-simplify]: Simplify (+ 0 0) into 0 2.913 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 2.914 * [backup-simplify]: Simplify (- 1) into -1 2.915 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.915 * [backup-simplify]: Simplify -1 into -1 2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify (- 0) into 0 2.916 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.920 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 2.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.921 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.922 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.926 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 2.932 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 2.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.933 * [backup-simplify]: Simplify (- 0) into 0 2.934 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 2.934 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.936 * [backup-simplify]: Simplify (- 0) into 0 2.936 * [backup-simplify]: Simplify (+ 0 0) into 0 2.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.944 * [backup-simplify]: Simplify (+ 0 0) into 0 2.945 * [backup-simplify]: Simplify (- 0) into 0 2.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.963 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.964 * [backup-simplify]: Simplify (- 0) into 0 2.966 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.968 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.971 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ (sqrt 1.0) x))))))) 2.971 * * * [progress]: simplifying candidates 2.973 * [simplify]: Simplifying: (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (+ (log (sqrt (+ x (sqrt 1.0)))) (log (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (- x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) 1) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (exp x) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (- (+ (sqrt (* -1 (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2)))))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow x 2)))))))))))))) (+ (sqrt (* -1 (pow (sqrt 1.0) 2))) (+ x (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))))) (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ (sqrt 1.0) x))))))) 2.976 * * [simplify]: iteration 0: 152 enodes 3.042 * * [simplify]: iteration 1: 366 enodes 3.208 * * [simplify]: iteration 2: 1034 enodes 3.902 * * [simplify]: iteration 3: 3719 enodes 5.053 * * [simplify]: iteration complete: 5013 enodes 5.053 * * [simplify]: Extracting #0: cost 43 inf + 0 5.054 * * [simplify]: Extracting #1: cost 300 inf + 0 5.057 * * [simplify]: Extracting #2: cost 971 inf + 943 5.065 * * [simplify]: Extracting #3: cost 1365 inf + 26459 5.106 * * [simplify]: Extracting #4: cost 722 inf + 167411 5.204 * * [simplify]: Extracting #5: cost 118 inf + 354737 5.285 * * [simplify]: Extracting #6: cost 31 inf + 385533 5.410 * * [simplify]: Extracting #7: cost 22 inf + 388937 5.496 * * [simplify]: Extracting #8: cost 3 inf + 392496 5.576 * * [simplify]: Extracting #9: cost 0 inf + 393375 5.646 * [simplify]: Simplified to: (- (* x x) 1.0) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (- (* x x) 1.0) (log (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (log (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (exp (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (* (sqrt (+ x (sqrt 1.0))) (* (sqrt (- x (sqrt 1.0))) (- x (sqrt 1.0))))) (* (cbrt (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (cbrt (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))))) (cbrt (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (* (sqrt (+ x (sqrt 1.0))) (* (sqrt (- x (sqrt 1.0))) (- x (sqrt 1.0))))) (- (* x x) 1.0) (sqrt (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (sqrt (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (* (sqrt (+ (* x (* x x)) (* (sqrt 1.0) 1.0))) (sqrt (- (* x (* x x)) (* (sqrt 1.0) 1.0)))) (* (sqrt (+ (* x (+ (sqrt 1.0) x)) 1.0)) (sqrt (- 1.0 (* x (- (sqrt 1.0) x))))) (* (sqrt (+ (* x (* x x)) (* (sqrt 1.0) 1.0))) (sqrt (- (* x x) 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- 1.0 (* x (- (sqrt 1.0) x))))) (* (sqrt (- (* x (* x x)) (* (sqrt 1.0) 1.0))) (sqrt (- (* x x) 1.0))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x (+ (sqrt 1.0) x)) 1.0))) (- (* x x) 1.0) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0))))) (* (fabs (cbrt (- x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (- x (sqrt 1.0))) (cbrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x (* x x)) (* (sqrt 1.0) 1.0)))) (* (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ (* x (* x x)) (* (sqrt 1.0) 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) 1.0)) (sqrt (- x (sqrt 1.0)))) (exp (+ x (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))))) (log (+ x (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))))) (exp (+ x (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))))) (* (cbrt (+ x (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))))) (* (* (+ x (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (+ x (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))))) (+ x (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))))) (+ (* x (* x x)) (* (+ x (sqrt 1.0)) (* (sqrt (+ x (sqrt 1.0))) (* (sqrt (- x (sqrt 1.0))) (- x (sqrt 1.0)))))) (+ (* (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (- (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) x)) (* x x)) (+ 0 1.0) (- x (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (- (+ (* (/ 1/2 (sqrt (- 1.0))) (* x x)) (sqrt (- 1.0))) (* (/ (* x x) (/ (- 1.0) (* x x))) (/ 1/8 (sqrt (- 1.0))))) (- (- x (/ (* 1/8 (* (/ 1.0 x) (/ 1.0 x))) x)) (/ (/ 1.0 x) 2)) (- (- (/ +nan.0 x) (/ (* (sqrt 1.0) +nan.0) x)) (+ (* +nan.0 (/ 1.0 (* x x))) (- (- +nan.0 (/ +nan.0 (* x x))) (/ (* (sqrt 1.0) +nan.0) (* x x))))) (+ (+ x (* (/ 1/2 (sqrt (- 1.0))) (* x x))) (sqrt (- 1.0))) (+ (- (/ x 1/2) (/ (* 1/8 (* (/ 1.0 x) (/ 1.0 x))) x)) (* -1/2 (/ 1.0 x))) (- (- x +nan.0) (- (/ (* (sqrt 1.0) +nan.0) x) (/ +nan.0 x))) 5.655 * * * [progress]: adding candidates to table 5.958 * [progress]: [Phase 3 of 3] Extracting. 5.959 * * [regime]: Finding splitpoints for: (# #) 5.959 * * * [regime-changes]: Trying 3 branch expressions: ((+ x (sqrt (- (* x x) 1.0))) (log (+ x (sqrt (- (* x x) 1.0)))) x) 5.959 * * * * [regimes]: Trying to branch on (+ x (sqrt (- (* x x) 1.0))) from (# #) 5.992 * * * * [regimes]: Trying to branch on (log (+ x (sqrt (- (* x x) 1.0)))) from (# #) 6.019 * * * * [regimes]: Trying to branch on x from (# #) 6.042 * * * [regime]: Found split indices: #