28.877 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.063 * [progress]: [Phase 2 of 3] Improving. 0.063 * [simplify]: Simplifying: (- (sqrt (+ x 1.0)) (sqrt x)) 0.063 * * [simplify]: iteration 0: 6 enodes 0.065 * * [simplify]: iteration 1: 9 enodes 0.066 * * [simplify]: iteration 2: 10 enodes 0.069 * * [simplify]: iteration complete: 10 enodes 0.069 * * [simplify]: Extracting #0: cost 1 inf + 0 0.069 * * [simplify]: Extracting #1: cost 4 inf + 0 0.069 * * [simplify]: Extracting #2: cost 6 inf + 0 0.069 * * [simplify]: Extracting #3: cost 6 inf + 1 0.069 * * [simplify]: Extracting #4: cost 0 inf + 410 0.069 * [simplify]: Simplified to: (- (sqrt (+ 1.0 x)) (sqrt x)) 0.070 * * [progress]: iteration 1 / 4 0.070 * * * [progress]: picking best candidate 0.075 * * * * [pick]: Picked # 0.075 * * * [progress]: localizing error 0.088 * * * [progress]: generating rewritten candidates 0.088 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.147 * * * [progress]: generating series expansions 0.147 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.147 * [backup-simplify]: Simplify (- (sqrt (+ x 1.0)) (sqrt x)) into (- (sqrt (+ x 1.0)) (sqrt x)) 0.147 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.147 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.147 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [backup-simplify]: Simplify 1.0 into 1.0 0.148 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.148 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.150 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (sqrt 0) into 0 0.152 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.152 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.152 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.152 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.153 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.153 * [backup-simplify]: Simplify (+ 1 0) into 1 0.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.154 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (sqrt 0) into 0 0.156 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.158 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.158 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.160 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) (- +nan.0)) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.162 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.170 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.170 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.179 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) (- +nan.0)) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 0.184 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 0.192 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (pow x 2)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) 0.192 * [backup-simplify]: Simplify (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) 0.192 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in (x) around 0 0.192 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in x 0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [backup-simplify]: Simplify 1.0 into 1.0 0.193 * [backup-simplify]: Simplify (+ 1 0) into 1 0.193 * [backup-simplify]: Simplify (sqrt 0) into 0 0.195 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.195 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [backup-simplify]: Simplify (sqrt 0) into 0 0.196 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.196 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [backup-simplify]: Simplify 1.0 into 1.0 0.197 * [backup-simplify]: Simplify (+ 1 0) into 1 0.198 * [backup-simplify]: Simplify (sqrt 0) into 0 0.199 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [backup-simplify]: Simplify (sqrt 0) into 0 0.201 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.203 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.203 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.207 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.210 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.210 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.211 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.217 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.217 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.217 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.218 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.218 * [backup-simplify]: Simplify (- (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) 0.218 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.218 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.218 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.218 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.218 * [taylor]: Taking taylor expansion of 1.0 in x 0.218 * [backup-simplify]: Simplify 1.0 into 1.0 0.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [backup-simplify]: Simplify (- 1) into -1 0.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.219 * [backup-simplify]: Simplify (sqrt 0) into 0 0.220 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.220 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.220 * [taylor]: Taking taylor expansion of -1 in x 0.220 * [backup-simplify]: Simplify -1 into -1 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ -1 1) into -1 0.221 * [backup-simplify]: Simplify (sqrt 0) into 0 0.222 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.222 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.222 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.222 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [backup-simplify]: Simplify 1.0 into 1.0 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [backup-simplify]: Simplify (- 1) into -1 0.222 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.223 * [backup-simplify]: Simplify (sqrt 0) into 0 0.223 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.223 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.223 * [taylor]: Taking taylor expansion of -1 in x 0.223 * [backup-simplify]: Simplify -1 into -1 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ -1 1) into -1 0.224 * [backup-simplify]: Simplify (sqrt 0) into 0 0.225 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.226 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.226 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.229 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.232 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.232 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.232 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.239 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.239 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.239 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.240 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.240 * * * [progress]: simplifying candidates 0.241 * [simplify]: Simplifying: (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.241 * * [simplify]: iteration 0: 61 enodes 0.252 * * [simplify]: iteration 1: 140 enodes 0.305 * * [simplify]: iteration 2: 479 enodes 0.513 * * [simplify]: iteration 3: 2044 enodes 0.932 * * [simplify]: iteration complete: 5000 enodes 0.933 * * [simplify]: Extracting #0: cost 16 inf + 0 0.933 * * [simplify]: Extracting #1: cost 208 inf + 1 0.938 * * [simplify]: Extracting #2: cost 1580 inf + 1232 0.956 * * [simplify]: Extracting #3: cost 1235 inf + 46502 1.002 * * [simplify]: Extracting #4: cost 435 inf + 183050 1.046 * * [simplify]: Extracting #5: cost 130 inf + 260223 1.097 * * [simplify]: Extracting #6: cost 24 inf + 288884 1.154 * * [simplify]: Extracting #7: cost 0 inf + 296915 1.213 * [simplify]: Simplified to: (exp (- (sqrt (+ 1.0 x)) (sqrt x))) (log (- (sqrt (+ 1.0 x)) (sqrt x))) (exp (- (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (- (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (- (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (- (sqrt (+ 1.0 x)) (sqrt x))) (* (* (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (- (* (+ 1.0 x) (sqrt (+ 1.0 x))) (* (sqrt x) x)) (+ (* (sqrt (+ 1.0 x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) x) (- (sqrt x)) 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt x)) (+ (+ (sqrt 1.0) (- (* x (- (* x +nan.0) +nan.0)) (/ (* x 1/8) (/ (* 1.0 (sqrt 1.0)) x)))) (* (/ x (sqrt 1.0)) 1/2)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) 1.214 * * * [progress]: adding candidates to table 1.302 * * [progress]: iteration 2 / 4 1.302 * * * [progress]: picking best candidate 1.309 * * * * [pick]: Picked # 1.309 * * * [progress]: localizing error 1.319 * * * [progress]: generating rewritten candidates 1.319 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.386 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.412 * * * [progress]: generating series expansions 1.413 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.413 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1.413 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.413 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.413 * [taylor]: Taking taylor expansion of 1.0 in x 1.413 * [backup-simplify]: Simplify 1.0 into 1.0 1.413 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.413 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.413 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [taylor]: Taking taylor expansion of 1.0 in x 1.413 * [backup-simplify]: Simplify 1.0 into 1.0 1.414 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.414 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.414 * [backup-simplify]: Simplify (+ 1 0) into 1 1.415 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.415 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.416 * [backup-simplify]: Simplify (sqrt 0) into 0 1.417 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.418 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.419 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 1.419 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [backup-simplify]: Simplify 1.0 into 1.0 1.419 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.419 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.419 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 1 into 1 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [backup-simplify]: Simplify 1.0 into 1.0 1.420 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.420 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.420 * [backup-simplify]: Simplify (+ 1 0) into 1 1.422 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.422 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 1 into 1 1.423 * [backup-simplify]: Simplify (sqrt 0) into 0 1.424 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.425 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.426 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 1.427 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 1.428 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 1.438 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 1.448 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 1.448 * [backup-simplify]: Simplify (+ 0 0) into 0 1.453 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.457 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.459 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 1.485 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 1.504 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 1.542 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow x 2)) (+ (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))))))))))) 1.543 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 1.543 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 1.543 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.543 * [taylor]: Taking taylor expansion of 1.0 in x 1.543 * [backup-simplify]: Simplify 1.0 into 1.0 1.543 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.543 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [backup-simplify]: Simplify (/ 1 1) into 1 1.544 * [backup-simplify]: Simplify (sqrt 0) into 0 1.545 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.545 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.545 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify (/ 1 1) into 1 1.546 * [taylor]: Taking taylor expansion of 1.0 in x 1.546 * [backup-simplify]: Simplify 1.0 into 1.0 1.546 * [backup-simplify]: Simplify (+ 1 0) into 1 1.547 * [backup-simplify]: Simplify (sqrt 0) into 0 1.548 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.548 * [backup-simplify]: Simplify (+ 0 0) into 0 1.549 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.550 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.550 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.550 * [taylor]: Taking taylor expansion of 1.0 in x 1.550 * [backup-simplify]: Simplify 1.0 into 1.0 1.550 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.550 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify (/ 1 1) into 1 1.550 * [backup-simplify]: Simplify (sqrt 0) into 0 1.552 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.552 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.552 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [backup-simplify]: Simplify (/ 1 1) into 1 1.552 * [taylor]: Taking taylor expansion of 1.0 in x 1.552 * [backup-simplify]: Simplify 1.0 into 1.0 1.553 * [backup-simplify]: Simplify (+ 1 0) into 1 1.553 * [backup-simplify]: Simplify (sqrt 0) into 0 1.554 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.555 * [backup-simplify]: Simplify (+ 0 0) into 0 1.555 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.556 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.556 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.560 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.563 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.563 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.565 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.566 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (+ 0 0) into 0 1.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.573 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.577 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.577 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.578 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.578 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 1.578 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.578 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.578 * [taylor]: Taking taylor expansion of 1.0 in x 1.578 * [backup-simplify]: Simplify 1.0 into 1.0 1.578 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.578 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.578 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.578 * [taylor]: Taking taylor expansion of -1 in x 1.578 * [backup-simplify]: Simplify -1 into -1 1.578 * [taylor]: Taking taylor expansion of x in x 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (/ -1 1) into -1 1.579 * [backup-simplify]: Simplify (sqrt 0) into 0 1.580 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.580 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.580 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.580 * [taylor]: Taking taylor expansion of 1.0 in x 1.580 * [backup-simplify]: Simplify 1.0 into 1.0 1.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.580 * [backup-simplify]: Simplify (/ 1 1) into 1 1.580 * [backup-simplify]: Simplify (- 1) into -1 1.581 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.581 * [backup-simplify]: Simplify (sqrt 0) into 0 1.582 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.582 * [backup-simplify]: Simplify (+ 0 0) into 0 1.582 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.583 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.583 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.583 * [taylor]: Taking taylor expansion of 1.0 in x 1.583 * [backup-simplify]: Simplify 1.0 into 1.0 1.583 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.583 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.583 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.583 * [taylor]: Taking taylor expansion of -1 in x 1.583 * [backup-simplify]: Simplify -1 into -1 1.583 * [taylor]: Taking taylor expansion of x in x 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [backup-simplify]: Simplify (/ -1 1) into -1 1.583 * [backup-simplify]: Simplify (sqrt 0) into 0 1.584 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.584 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.584 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.584 * [taylor]: Taking taylor expansion of 1.0 in x 1.584 * [backup-simplify]: Simplify 1.0 into 1.0 1.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify (/ 1 1) into 1 1.585 * [backup-simplify]: Simplify (- 1) into -1 1.585 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.585 * [backup-simplify]: Simplify (sqrt 0) into 0 1.586 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.586 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.587 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.587 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.589 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (- 0) into 0 1.592 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.595 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.596 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.599 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.600 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.606 * [backup-simplify]: Simplify (- 0) into 0 1.606 * [backup-simplify]: Simplify (+ 0 0) into 0 1.609 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.609 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.613 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.613 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.614 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.614 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.614 * [backup-simplify]: Simplify (+ (sqrt (+ x 1.0)) (sqrt x)) into (+ (sqrt (+ x 1.0)) (sqrt x)) 1.614 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 1.614 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.614 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.614 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [taylor]: Taking taylor expansion of 1.0 in x 1.614 * [backup-simplify]: Simplify 1.0 into 1.0 1.614 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.615 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.615 * [backup-simplify]: Simplify (+ 1 0) into 1 1.616 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.616 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.616 * [taylor]: Taking taylor expansion of x in x 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (sqrt 0) into 0 1.617 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.617 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.617 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.617 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.617 * [taylor]: Taking taylor expansion of x in x 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [taylor]: Taking taylor expansion of 1.0 in x 1.617 * [backup-simplify]: Simplify 1.0 into 1.0 1.618 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.618 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.618 * [backup-simplify]: Simplify (+ 1 0) into 1 1.619 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.619 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify (sqrt 0) into 0 1.620 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.621 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.621 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.622 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 1.624 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 1.624 * [backup-simplify]: Simplify (+ 0 0) into 0 1.627 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.629 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.630 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 1.634 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 1.639 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (pow x 2)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) 1.639 * [backup-simplify]: Simplify (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) 1.639 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 1.639 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.639 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (/ 1 1) into 1 1.640 * [backup-simplify]: Simplify (sqrt 0) into 0 1.641 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.641 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.641 * [backup-simplify]: Simplify (/ 1 1) into 1 1.641 * [taylor]: Taking taylor expansion of 1.0 in x 1.641 * [backup-simplify]: Simplify 1.0 into 1.0 1.641 * [backup-simplify]: Simplify (+ 1 0) into 1 1.642 * [backup-simplify]: Simplify (sqrt 0) into 0 1.642 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.642 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.642 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.643 * [taylor]: Taking taylor expansion of x in x 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.643 * [backup-simplify]: Simplify (/ 1 1) into 1 1.643 * [backup-simplify]: Simplify (sqrt 0) into 0 1.644 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.644 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.644 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.644 * [taylor]: Taking taylor expansion of x in x 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (/ 1 1) into 1 1.644 * [taylor]: Taking taylor expansion of 1.0 in x 1.644 * [backup-simplify]: Simplify 1.0 into 1.0 1.645 * [backup-simplify]: Simplify (+ 1 0) into 1 1.645 * [backup-simplify]: Simplify (sqrt 0) into 0 1.646 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.646 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.646 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.649 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.649 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.652 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.652 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.652 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.655 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.656 * [backup-simplify]: Simplify (+ 0 0) into 0 1.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.659 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.659 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.660 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.660 * [backup-simplify]: Simplify (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 1.660 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.660 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.660 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.660 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.660 * [taylor]: Taking taylor expansion of -1 in x 1.660 * [backup-simplify]: Simplify -1 into -1 1.660 * [taylor]: Taking taylor expansion of x in x 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [backup-simplify]: Simplify (/ -1 1) into -1 1.661 * [backup-simplify]: Simplify (sqrt 0) into 0 1.661 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.661 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.661 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.661 * [taylor]: Taking taylor expansion of 1.0 in x 1.661 * [backup-simplify]: Simplify 1.0 into 1.0 1.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.661 * [taylor]: Taking taylor expansion of x in x 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (/ 1 1) into 1 1.662 * [backup-simplify]: Simplify (- 1) into -1 1.662 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.662 * [backup-simplify]: Simplify (sqrt 0) into 0 1.663 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.663 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.663 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.663 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.663 * [taylor]: Taking taylor expansion of -1 in x 1.663 * [backup-simplify]: Simplify -1 into -1 1.663 * [taylor]: Taking taylor expansion of x in x 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.664 * [backup-simplify]: Simplify (/ -1 1) into -1 1.664 * [backup-simplify]: Simplify (sqrt 0) into 0 1.665 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.665 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.665 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.665 * [taylor]: Taking taylor expansion of 1.0 in x 1.665 * [backup-simplify]: Simplify 1.0 into 1.0 1.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.665 * [taylor]: Taking taylor expansion of x in x 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.665 * [backup-simplify]: Simplify (/ 1 1) into 1 1.665 * [backup-simplify]: Simplify (- 1) into -1 1.666 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.666 * [backup-simplify]: Simplify (sqrt 0) into 0 1.667 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.668 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.671 * [backup-simplify]: Simplify (- 0) into 0 1.671 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.673 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.673 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.673 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.678 * [backup-simplify]: Simplify (- 0) into 0 1.678 * [backup-simplify]: Simplify (+ 0 0) into 0 1.682 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.683 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.683 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.684 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.685 * * * [progress]: simplifying candidates 1.688 * [simplify]: Simplifying: (- (log 1.0) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 1) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt 1)) (/ 1.0 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ 1.0 (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.690 * * [simplify]: iteration 0: 132 enodes 1.721 * * [simplify]: iteration 1: 319 enodes 1.887 * * [simplify]: iteration 2: 1291 enodes 2.488 * * [simplify]: iteration complete: 5001 enodes 2.488 * * [simplify]: Extracting #0: cost 48 inf + 0 2.489 * * [simplify]: Extracting #1: cost 425 inf + 2 2.493 * * [simplify]: Extracting #2: cost 1774 inf + 1286 2.507 * * [simplify]: Extracting #3: cost 1527 inf + 78941 2.550 * * [simplify]: Extracting #4: cost 511 inf + 270103 2.614 * * [simplify]: Extracting #5: cost 146 inf + 388988 2.694 * * [simplify]: Extracting #6: cost 38 inf + 428312 2.799 * * [simplify]: Extracting #7: cost 0 inf + 441840 2.900 * * [simplify]: Extracting #8: cost 0 inf + 441800 2.983 * [simplify]: Simplified to: (log (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (log (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (exp (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (* (* (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x)))) (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (* (cbrt (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (cbrt (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x)))))) (cbrt (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (* (* (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x)))) (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (- 1.0) (- (+ (sqrt x) (sqrt (+ 1.0 x)))) (* (/ (cbrt 1.0) (cbrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt x) (sqrt (+ 1.0 x)))))) (/ (cbrt 1.0) (cbrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (* (/ (cbrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ 1.0 x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ 1.0 x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ 1.0 x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ 1.0 x)))) (/ (/ (sqrt 1.0) (cbrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (cbrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (/ (sqrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (/ (sqrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ 1.0 x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ 1.0 x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ 1.0 x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ 1.0 x)))) (/ (/ 1 (cbrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (cbrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (/ 1.0 (cbrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (/ 1 (sqrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (/ 1.0 (sqrt (+ (sqrt x) (sqrt (+ 1.0 x))))) 1 (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x)))) 1 (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x)))) 1 (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x)))) 1 (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x)))) (/ 1 (+ (sqrt x) (sqrt (+ 1.0 x)))) (/ (+ (sqrt x) (sqrt (+ 1.0 x))) 1.0) (/ (/ 1.0 (cbrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (cbrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (/ 1.0 (sqrt (+ (sqrt x) (sqrt (+ 1.0 x))))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt x) (sqrt (+ 1.0 x))) (cbrt 1.0)) (/ (+ (sqrt x) (sqrt (+ 1.0 x))) (sqrt 1.0)) (/ (+ (sqrt x) (sqrt (+ 1.0 x))) 1.0) (/ 1.0 (+ (* (sqrt (+ 1.0 x)) (+ 1.0 x)) (* (sqrt x) x))) (/ 1.0 (+ 1.0 0)) (exp (+ (sqrt x) (sqrt (+ 1.0 x)))) (log (+ (sqrt x) (sqrt (+ 1.0 x)))) (exp (+ (sqrt x) (sqrt (+ 1.0 x)))) (* (cbrt (+ (sqrt x) (sqrt (+ 1.0 x)))) (cbrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (cbrt (+ (sqrt x) (sqrt (+ 1.0 x)))) (* (* (+ (sqrt x) (sqrt (+ 1.0 x))) (+ (sqrt x) (sqrt (+ 1.0 x)))) (+ (sqrt x) (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt x) (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt x) (sqrt (+ 1.0 x)))) (+ (* (sqrt (+ 1.0 x)) (+ 1.0 x)) (* (sqrt x) x)) (+ (+ 1.0 x) (- x (* (sqrt (+ 1.0 x)) (sqrt x)))) (+ 1.0 0) (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt x) (sqrt (+ 1.0 x))) (+ (sqrt x) (sqrt (+ 1.0 x))) (+ (sqrt x) (sqrt (+ 1.0 x))) (+ (/ (* 0.375 (* x x)) (pow (sqrt 1.0) 5)) (+ (- (/ 1.0 (sqrt 1.0)) (* (/ x (sqrt 1.0)) (/ 0.5 1.0))) (+ (* (/ +nan.0 1.0) (- (/ (* x x) (sqrt 1.0)) (/ (* x x) 1.0))) (* +nan.0 (- (/ x 1.0) (/ (* x x) 1.0)))))) (- (+ (- (/ +nan.0 (* x x))) (/ +nan.0 x)) +nan.0) (- (+ (- (/ +nan.0 (* x x))) (/ +nan.0 x)) +nan.0) (+ (/ 1/2 (/ (sqrt 1.0) x)) (+ (- (sqrt 1.0) (/ 1/8 (* (/ (sqrt 1.0) x) (/ 1.0 x)))) (- (* (* +nan.0 x) x) (* +nan.0 x)))) (- (+ (- (/ +nan.0 (* x x))) (/ +nan.0 x)) +nan.0) (- (+ (- (/ +nan.0 (* x x))) (/ +nan.0 x)) +nan.0) 2.986 * * * [progress]: adding candidates to table 3.179 * * [progress]: iteration 3 / 4 3.180 * * * [progress]: picking best candidate 3.197 * * * * [pick]: Picked # 3.197 * * * [progress]: localizing error 3.240 * * * [progress]: generating rewritten candidates 3.240 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.428 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 3.486 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.531 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.636 * * * [progress]: generating series expansions 3.636 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.637 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) into (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) 3.637 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.637 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.637 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.637 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.637 * [taylor]: Taking taylor expansion of 1.0 in x 3.637 * [backup-simplify]: Simplify 1.0 into 1.0 3.638 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.639 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.639 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.639 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.639 * [taylor]: Taking taylor expansion of x in x 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 1 into 1 3.639 * [taylor]: Taking taylor expansion of 1.0 in x 3.639 * [backup-simplify]: Simplify 1.0 into 1.0 3.640 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.640 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.641 * [backup-simplify]: Simplify (+ 1 0) into 1 3.642 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.642 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.642 * [taylor]: Taking taylor expansion of x in x 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.643 * [backup-simplify]: Simplify (sqrt 0) into 0 3.644 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.651 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.652 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.654 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (sqrt 1.0)) into (sqrt 1.0) 3.654 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.654 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.654 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.654 * [taylor]: Taking taylor expansion of 1.0 in x 3.654 * [backup-simplify]: Simplify 1.0 into 1.0 3.655 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.655 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.655 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.656 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.656 * [taylor]: Taking taylor expansion of x in x 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify 1 into 1 3.656 * [taylor]: Taking taylor expansion of 1.0 in x 3.656 * [backup-simplify]: Simplify 1.0 into 1.0 3.656 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.657 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.657 * [backup-simplify]: Simplify (+ 1 0) into 1 3.658 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.659 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.659 * [taylor]: Taking taylor expansion of x in x 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [backup-simplify]: Simplify (sqrt 0) into 0 3.660 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.661 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.662 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.664 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (sqrt 1.0)) into (sqrt 1.0) 3.665 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.666 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 3.667 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.676 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (sqrt 1.0) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) 3.680 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) into (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) 3.681 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.682 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 3.682 * [backup-simplify]: Simplify (+ 0 0) into 0 3.688 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.691 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.694 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 3.715 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (sqrt 1.0) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0))))) 3.724 * [backup-simplify]: Simplify (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0))))) into (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- +nan.0))))) 3.739 * [backup-simplify]: Simplify (+ (* (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- +nan.0))))) (pow x 2)) (+ (* (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 3/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* +nan.0 (pow x 2)) (- (* 1/2 (/ x (sqrt 1.0))) (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 x) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))))))))) 3.740 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))))) into (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 3.740 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 3.740 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 3.740 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.740 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.740 * [taylor]: Taking taylor expansion of 1.0 in x 3.740 * [backup-simplify]: Simplify 1.0 into 1.0 3.741 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.741 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 3.741 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.742 * [taylor]: Taking taylor expansion of x in x 3.742 * [backup-simplify]: Simplify 0 into 0 3.742 * [backup-simplify]: Simplify 1 into 1 3.742 * [backup-simplify]: Simplify (/ 1 1) into 1 3.742 * [backup-simplify]: Simplify (sqrt 0) into 0 3.744 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.744 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.744 * [taylor]: Taking taylor expansion of x in x 3.744 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify 1 into 1 3.745 * [backup-simplify]: Simplify (/ 1 1) into 1 3.745 * [taylor]: Taking taylor expansion of 1.0 in x 3.745 * [backup-simplify]: Simplify 1.0 into 1.0 3.745 * [backup-simplify]: Simplify (+ 1 0) into 1 3.745 * [backup-simplify]: Simplify (sqrt 0) into 0 3.747 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.748 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.749 * [backup-simplify]: Simplify (+ 0 0) into 0 3.749 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.751 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.751 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 3.751 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.751 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.752 * [taylor]: Taking taylor expansion of 1.0 in x 3.752 * [backup-simplify]: Simplify 1.0 into 1.0 3.752 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.753 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 3.753 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.753 * [taylor]: Taking taylor expansion of x in x 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.753 * [backup-simplify]: Simplify (/ 1 1) into 1 3.754 * [backup-simplify]: Simplify (sqrt 0) into 0 3.755 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.755 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.755 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.755 * [taylor]: Taking taylor expansion of x in x 3.755 * [backup-simplify]: Simplify 0 into 0 3.755 * [backup-simplify]: Simplify 1 into 1 3.756 * [backup-simplify]: Simplify (/ 1 1) into 1 3.756 * [taylor]: Taking taylor expansion of 1.0 in x 3.756 * [backup-simplify]: Simplify 1.0 into 1.0 3.756 * [backup-simplify]: Simplify (+ 1 0) into 1 3.757 * [backup-simplify]: Simplify (sqrt 0) into 0 3.758 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.759 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.760 * [backup-simplify]: Simplify (+ 0 0) into 0 3.760 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.762 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.764 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 1.0) 2)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.765 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 3.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.769 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.773 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.777 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.777 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.785 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ (- +nan.0) (- +nan.0))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.788 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.789 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.790 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 3.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.796 * [backup-simplify]: Simplify (+ 0 0) into 0 3.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.801 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.813 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ (- +nan.0) (- +nan.0))) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ (- +nan.0) (- +nan.0))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.815 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.820 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 x)) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) x))))))) 3.820 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))))) into (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 3.820 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.820 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.820 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.820 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.820 * [taylor]: Taking taylor expansion of 1.0 in x 3.820 * [backup-simplify]: Simplify 1.0 into 1.0 3.820 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.821 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.821 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.821 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.821 * [taylor]: Taking taylor expansion of -1 in x 3.821 * [backup-simplify]: Simplify -1 into -1 3.821 * [taylor]: Taking taylor expansion of x in x 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [backup-simplify]: Simplify (/ -1 1) into -1 3.821 * [backup-simplify]: Simplify (sqrt 0) into 0 3.822 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.822 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.822 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.822 * [taylor]: Taking taylor expansion of 1.0 in x 3.822 * [backup-simplify]: Simplify 1.0 into 1.0 3.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.822 * [taylor]: Taking taylor expansion of x in x 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify 1 into 1 3.823 * [backup-simplify]: Simplify (/ 1 1) into 1 3.823 * [backup-simplify]: Simplify (- 1) into -1 3.823 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.823 * [backup-simplify]: Simplify (sqrt 0) into 0 3.824 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.825 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.825 * [backup-simplify]: Simplify (+ 0 0) into 0 3.826 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.827 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.827 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.827 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.827 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.827 * [taylor]: Taking taylor expansion of 1.0 in x 3.827 * [backup-simplify]: Simplify 1.0 into 1.0 3.827 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.828 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.828 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.828 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.828 * [taylor]: Taking taylor expansion of -1 in x 3.828 * [backup-simplify]: Simplify -1 into -1 3.828 * [taylor]: Taking taylor expansion of x in x 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify 1 into 1 3.828 * [backup-simplify]: Simplify (/ -1 1) into -1 3.828 * [backup-simplify]: Simplify (sqrt 0) into 0 3.829 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.829 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.829 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.829 * [taylor]: Taking taylor expansion of 1.0 in x 3.829 * [backup-simplify]: Simplify 1.0 into 1.0 3.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.829 * [taylor]: Taking taylor expansion of x in x 3.829 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify 1 into 1 3.830 * [backup-simplify]: Simplify (/ 1 1) into 1 3.830 * [backup-simplify]: Simplify (- 1) into -1 3.830 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.831 * [backup-simplify]: Simplify (sqrt 0) into 0 3.831 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.832 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.832 * [backup-simplify]: Simplify (+ 0 0) into 0 3.833 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.834 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.835 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 1.0) 2)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.836 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 3.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.838 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.839 * [backup-simplify]: Simplify (- 0) into 0 3.839 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.842 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.843 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.850 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ (- +nan.0) (- +nan.0))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.853 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.854 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.855 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 3.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.862 * [backup-simplify]: Simplify (- 0) into 0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.867 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.881 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ (- +nan.0) (- +nan.0))) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ (- +nan.0) (- +nan.0))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.883 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.887 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 (- x))) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) x))))))) 3.887 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.887 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3.887 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.887 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.887 * [taylor]: Taking taylor expansion of 1.0 in x 3.887 * [backup-simplify]: Simplify 1.0 into 1.0 3.887 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.887 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.887 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.887 * [taylor]: Taking taylor expansion of x in x 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [taylor]: Taking taylor expansion of 1.0 in x 3.887 * [backup-simplify]: Simplify 1.0 into 1.0 3.888 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.888 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.888 * [backup-simplify]: Simplify (+ 1 0) into 1 3.889 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.889 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.889 * [taylor]: Taking taylor expansion of x in x 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify 1 into 1 3.890 * [backup-simplify]: Simplify (sqrt 0) into 0 3.891 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.891 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.892 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.892 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.892 * [taylor]: Taking taylor expansion of 1.0 in x 3.892 * [backup-simplify]: Simplify 1.0 into 1.0 3.892 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.892 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.892 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.892 * [taylor]: Taking taylor expansion of x in x 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 1 into 1 3.892 * [taylor]: Taking taylor expansion of 1.0 in x 3.892 * [backup-simplify]: Simplify 1.0 into 1.0 3.892 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.894 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.895 * [backup-simplify]: Simplify (+ 1 0) into 1 3.896 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.896 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.896 * [taylor]: Taking taylor expansion of x in x 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [backup-simplify]: Simplify (sqrt 0) into 0 3.897 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.897 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.898 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.898 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.899 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.905 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 3.914 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 3.915 * [backup-simplify]: Simplify (+ 0 0) into 0 3.920 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.923 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.925 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 3.968 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 3.993 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 4.032 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow x 2)) (+ (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))))))))))) 4.033 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 4.033 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 4.033 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 4.033 * [taylor]: Taking taylor expansion of 1.0 in x 4.033 * [backup-simplify]: Simplify 1.0 into 1.0 4.033 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 4.033 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.033 * [taylor]: Taking taylor expansion of x in x 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 1 into 1 4.033 * [backup-simplify]: Simplify (/ 1 1) into 1 4.034 * [backup-simplify]: Simplify (sqrt 0) into 0 4.035 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 4.035 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 4.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.035 * [taylor]: Taking taylor expansion of x in x 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 1 into 1 4.036 * [backup-simplify]: Simplify (/ 1 1) into 1 4.036 * [taylor]: Taking taylor expansion of 1.0 in x 4.036 * [backup-simplify]: Simplify 1.0 into 1.0 4.036 * [backup-simplify]: Simplify (+ 1 0) into 1 4.036 * [backup-simplify]: Simplify (sqrt 0) into 0 4.038 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.038 * [backup-simplify]: Simplify (+ 0 0) into 0 4.038 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.039 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 4.039 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 4.039 * [taylor]: Taking taylor expansion of 1.0 in x 4.039 * [backup-simplify]: Simplify 1.0 into 1.0 4.040 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 4.040 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.040 * [taylor]: Taking taylor expansion of x in x 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify (/ 1 1) into 1 4.040 * [backup-simplify]: Simplify (sqrt 0) into 0 4.042 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 4.042 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 4.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.042 * [taylor]: Taking taylor expansion of x in x 4.042 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify 1 into 1 4.042 * [backup-simplify]: Simplify (/ 1 1) into 1 4.043 * [taylor]: Taking taylor expansion of 1.0 in x 4.043 * [backup-simplify]: Simplify 1.0 into 1.0 4.043 * [backup-simplify]: Simplify (+ 1 0) into 1 4.043 * [backup-simplify]: Simplify (sqrt 0) into 0 4.045 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.045 * [backup-simplify]: Simplify (+ 0 0) into 0 4.045 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.046 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 4.046 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.050 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.051 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.054 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.055 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.058 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.059 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.065 * [backup-simplify]: Simplify (+ 0 0) into 0 4.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.070 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.076 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.076 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.077 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 4.078 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 4.078 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 4.078 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 4.078 * [taylor]: Taking taylor expansion of 1.0 in x 4.078 * [backup-simplify]: Simplify 1.0 into 1.0 4.078 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.078 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.078 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.078 * [taylor]: Taking taylor expansion of -1 in x 4.078 * [backup-simplify]: Simplify -1 into -1 4.078 * [taylor]: Taking taylor expansion of x in x 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify (/ -1 1) into -1 4.079 * [backup-simplify]: Simplify (sqrt 0) into 0 4.080 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.080 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.080 * [taylor]: Taking taylor expansion of 1.0 in x 4.080 * [backup-simplify]: Simplify 1.0 into 1.0 4.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.080 * [taylor]: Taking taylor expansion of x in x 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.081 * [backup-simplify]: Simplify (/ 1 1) into 1 4.081 * [backup-simplify]: Simplify (- 1) into -1 4.081 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.082 * [backup-simplify]: Simplify (sqrt 0) into 0 4.083 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.083 * [backup-simplify]: Simplify (+ 0 0) into 0 4.084 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.085 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 4.085 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 4.085 * [taylor]: Taking taylor expansion of 1.0 in x 4.085 * [backup-simplify]: Simplify 1.0 into 1.0 4.085 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.085 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.085 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.085 * [taylor]: Taking taylor expansion of -1 in x 4.085 * [backup-simplify]: Simplify -1 into -1 4.085 * [taylor]: Taking taylor expansion of x in x 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.086 * [backup-simplify]: Simplify (/ -1 1) into -1 4.086 * [backup-simplify]: Simplify (sqrt 0) into 0 4.087 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.087 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.087 * [taylor]: Taking taylor expansion of 1.0 in x 4.087 * [backup-simplify]: Simplify 1.0 into 1.0 4.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.087 * [taylor]: Taking taylor expansion of x in x 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 1 into 1 4.088 * [backup-simplify]: Simplify (/ 1 1) into 1 4.088 * [backup-simplify]: Simplify (- 1) into -1 4.089 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.089 * [backup-simplify]: Simplify (sqrt 0) into 0 4.090 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.091 * [backup-simplify]: Simplify (+ 0 0) into 0 4.091 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.092 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 4.092 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.096 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (- 0) into 0 4.098 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.101 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.101 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.105 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.105 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.112 * [backup-simplify]: Simplify (- 0) into 0 4.112 * [backup-simplify]: Simplify (+ 0 0) into 0 4.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.116 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.123 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.123 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.124 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 4.124 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.124 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 4.125 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 4.125 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 4.125 * [taylor]: Taking taylor expansion of 1.0 in x 4.125 * [backup-simplify]: Simplify 1.0 into 1.0 4.125 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 4.125 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.125 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.125 * [taylor]: Taking taylor expansion of x in x 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.125 * [taylor]: Taking taylor expansion of 1.0 in x 4.125 * [backup-simplify]: Simplify 1.0 into 1.0 4.125 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.126 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.126 * [backup-simplify]: Simplify (+ 1 0) into 1 4.128 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.128 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.128 * [taylor]: Taking taylor expansion of x in x 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 1 into 1 4.128 * [backup-simplify]: Simplify (sqrt 0) into 0 4.129 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.131 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.131 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 4.131 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 4.132 * [taylor]: Taking taylor expansion of 1.0 in x 4.132 * [backup-simplify]: Simplify 1.0 into 1.0 4.132 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 4.132 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.132 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.132 * [taylor]: Taking taylor expansion of x in x 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.132 * [taylor]: Taking taylor expansion of 1.0 in x 4.132 * [backup-simplify]: Simplify 1.0 into 1.0 4.132 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.133 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.133 * [backup-simplify]: Simplify (+ 1 0) into 1 4.135 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.135 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.135 * [taylor]: Taking taylor expansion of x in x 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify 1 into 1 4.135 * [backup-simplify]: Simplify (sqrt 0) into 0 4.136 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.137 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.138 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 4.139 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 4.141 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 4.151 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 4.162 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 4.162 * [backup-simplify]: Simplify (+ 0 0) into 0 4.169 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.173 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.175 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 4.220 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 4.237 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 4.259 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow x 2)) (+ (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))))))))))) 4.259 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 4.259 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 4.259 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 4.259 * [taylor]: Taking taylor expansion of 1.0 in x 4.260 * [backup-simplify]: Simplify 1.0 into 1.0 4.260 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 4.260 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.260 * [taylor]: Taking taylor expansion of x in x 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify 1 into 1 4.260 * [backup-simplify]: Simplify (/ 1 1) into 1 4.260 * [backup-simplify]: Simplify (sqrt 0) into 0 4.261 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 4.261 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 4.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.261 * [taylor]: Taking taylor expansion of x in x 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify (/ 1 1) into 1 4.261 * [taylor]: Taking taylor expansion of 1.0 in x 4.261 * [backup-simplify]: Simplify 1.0 into 1.0 4.262 * [backup-simplify]: Simplify (+ 1 0) into 1 4.262 * [backup-simplify]: Simplify (sqrt 0) into 0 4.263 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.263 * [backup-simplify]: Simplify (+ 0 0) into 0 4.263 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.264 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 4.264 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 4.264 * [taylor]: Taking taylor expansion of 1.0 in x 4.264 * [backup-simplify]: Simplify 1.0 into 1.0 4.264 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 4.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.264 * [taylor]: Taking taylor expansion of x in x 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify 1 into 1 4.264 * [backup-simplify]: Simplify (/ 1 1) into 1 4.264 * [backup-simplify]: Simplify (sqrt 0) into 0 4.265 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 4.265 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 4.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.265 * [taylor]: Taking taylor expansion of x in x 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify 1 into 1 4.265 * [backup-simplify]: Simplify (/ 1 1) into 1 4.265 * [taylor]: Taking taylor expansion of 1.0 in x 4.266 * [backup-simplify]: Simplify 1.0 into 1.0 4.266 * [backup-simplify]: Simplify (+ 1 0) into 1 4.266 * [backup-simplify]: Simplify (sqrt 0) into 0 4.267 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.267 * [backup-simplify]: Simplify (+ 0 0) into 0 4.267 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.268 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 4.268 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.270 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.271 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.274 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.274 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.278 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.279 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.287 * [backup-simplify]: Simplify (+ 0 0) into 0 4.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.291 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.297 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.298 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.299 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 4.299 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 4.300 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 4.300 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 4.300 * [taylor]: Taking taylor expansion of 1.0 in x 4.300 * [backup-simplify]: Simplify 1.0 into 1.0 4.300 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.300 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.300 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.300 * [taylor]: Taking taylor expansion of -1 in x 4.300 * [backup-simplify]: Simplify -1 into -1 4.300 * [taylor]: Taking taylor expansion of x in x 4.300 * [backup-simplify]: Simplify 0 into 0 4.300 * [backup-simplify]: Simplify 1 into 1 4.300 * [backup-simplify]: Simplify (/ -1 1) into -1 4.301 * [backup-simplify]: Simplify (sqrt 0) into 0 4.302 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.302 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.302 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.302 * [taylor]: Taking taylor expansion of 1.0 in x 4.302 * [backup-simplify]: Simplify 1.0 into 1.0 4.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.302 * [taylor]: Taking taylor expansion of x in x 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 1 into 1 4.303 * [backup-simplify]: Simplify (/ 1 1) into 1 4.303 * [backup-simplify]: Simplify (- 1) into -1 4.304 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.304 * [backup-simplify]: Simplify (sqrt 0) into 0 4.305 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.306 * [backup-simplify]: Simplify (+ 0 0) into 0 4.306 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.307 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 4.307 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 4.307 * [taylor]: Taking taylor expansion of 1.0 in x 4.307 * [backup-simplify]: Simplify 1.0 into 1.0 4.307 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.307 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.307 * [taylor]: Taking taylor expansion of -1 in x 4.307 * [backup-simplify]: Simplify -1 into -1 4.307 * [taylor]: Taking taylor expansion of x in x 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 1 into 1 4.308 * [backup-simplify]: Simplify (/ -1 1) into -1 4.308 * [backup-simplify]: Simplify (sqrt 0) into 0 4.309 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.309 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.310 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.310 * [taylor]: Taking taylor expansion of 1.0 in x 4.310 * [backup-simplify]: Simplify 1.0 into 1.0 4.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.310 * [taylor]: Taking taylor expansion of x in x 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify 1 into 1 4.310 * [backup-simplify]: Simplify (/ 1 1) into 1 4.311 * [backup-simplify]: Simplify (- 1) into -1 4.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.312 * [backup-simplify]: Simplify (sqrt 0) into 0 4.313 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.313 * [backup-simplify]: Simplify (+ 0 0) into 0 4.314 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.314 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 4.315 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.318 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.319 * [backup-simplify]: Simplify (- 0) into 0 4.320 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.323 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.323 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.327 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.327 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (- 0) into 0 4.333 * [backup-simplify]: Simplify (+ 0 0) into 0 4.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.336 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.339 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.339 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.340 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 4.340 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.340 * [backup-simplify]: Simplify (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) into (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) 4.340 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 4.340 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 4.341 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 4.341 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 4.341 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 4.341 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.341 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.341 * [taylor]: Taking taylor expansion of x in x 4.341 * [backup-simplify]: Simplify 0 into 0 4.341 * [backup-simplify]: Simplify 1 into 1 4.341 * [taylor]: Taking taylor expansion of 1.0 in x 4.341 * [backup-simplify]: Simplify 1.0 into 1.0 4.341 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.341 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.341 * [backup-simplify]: Simplify (+ 1 0) into 1 4.342 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.342 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.342 * [taylor]: Taking taylor expansion of x in x 4.342 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify 1 into 1 4.343 * [backup-simplify]: Simplify (sqrt 0) into 0 4.343 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.344 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.345 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 4.345 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 4.346 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 4.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 4.365 * [backup-simplify]: Simplify (/ (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 4.365 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.365 * [taylor]: Taking taylor expansion of 1.0 in x 4.365 * [backup-simplify]: Simplify 1.0 into 1.0 4.365 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.366 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 4.366 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 4.366 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 4.366 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 4.366 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.366 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.366 * [taylor]: Taking taylor expansion of x in x 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.367 * [taylor]: Taking taylor expansion of 1.0 in x 4.367 * [backup-simplify]: Simplify 1.0 into 1.0 4.367 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.367 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.368 * [backup-simplify]: Simplify (+ 1 0) into 1 4.370 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.370 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.370 * [taylor]: Taking taylor expansion of x in x 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.370 * [backup-simplify]: Simplify (sqrt 0) into 0 4.372 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.372 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.373 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 4.375 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 4.377 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 4.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 4.394 * [backup-simplify]: Simplify (/ (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 4.394 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.394 * [taylor]: Taking taylor expansion of 1.0 in x 4.394 * [backup-simplify]: Simplify 1.0 into 1.0 4.395 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.399 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 1.0))) (sqrt 1.0)) into (sqrt (sqrt 1.0)) 4.399 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 4.412 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 1.0))) 0) (* (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) (sqrt 1.0))) into (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) 4.418 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) into (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) 4.418 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.419 * [backup-simplify]: Simplify (+ 0 0) into 0 4.422 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.424 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.426 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 4.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 4.505 * [backup-simplify]: Simplify (/ (- (- (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 2) (+)) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* 1/2 (* (sqrt (sqrt 1.0)) (- (* 5/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))))) 4.563 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 1.0))) 0) (+ (* (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 0) (* (* 1/2 (* (sqrt (sqrt 1.0)) (- (* 5/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))))) (sqrt 1.0)))) into (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) 4.580 * [backup-simplify]: Simplify (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) into (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) 4.624 * [backup-simplify]: Simplify (+ (* (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) x) (sqrt (sqrt 1.0)))) into (- (+ (* 5/32 (* (sqrt (/ 1 (pow (sqrt 1.0) 7))) (pow x 2))) (sqrt (sqrt 1.0))) (+ (* +nan.0 (* (sqrt (/ 1 (sqrt 1.0))) x)) (- (* 1/4 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) x)) (+ (* +nan.0 (* (sqrt (/ 1 (sqrt 1.0))) (pow x 2))) (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) (pow x 2))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (pow x 2)))))))))) 4.624 * [backup-simplify]: Simplify (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) into (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) 4.625 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in (x) around 0 4.625 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 4.625 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.625 * [taylor]: Taking taylor expansion of 1.0 in x 4.625 * [backup-simplify]: Simplify 1.0 into 1.0 4.625 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.626 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 4.626 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 4.626 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 4.626 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.626 * [taylor]: Taking taylor expansion of x in x 4.626 * [backup-simplify]: Simplify 0 into 0 4.626 * [backup-simplify]: Simplify 1 into 1 4.626 * [backup-simplify]: Simplify (/ 1 1) into 1 4.627 * [backup-simplify]: Simplify (sqrt 0) into 0 4.628 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.628 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 4.629 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 4.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.629 * [taylor]: Taking taylor expansion of x in x 4.629 * [backup-simplify]: Simplify 0 into 0 4.629 * [backup-simplify]: Simplify 1 into 1 4.629 * [backup-simplify]: Simplify (/ 1 1) into 1 4.629 * [taylor]: Taking taylor expansion of 1.0 in x 4.629 * [backup-simplify]: Simplify 1.0 into 1.0 4.630 * [backup-simplify]: Simplify (+ 1 0) into 1 4.630 * [backup-simplify]: Simplify (sqrt 0) into 0 4.632 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.632 * [backup-simplify]: Simplify (+ 0 0) into 0 4.632 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.633 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 4.634 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 4.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.637 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.639 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.642 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.642 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.646 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.648 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 4.648 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 4.648 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.648 * [taylor]: Taking taylor expansion of 1.0 in x 4.648 * [backup-simplify]: Simplify 1.0 into 1.0 4.648 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.649 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 4.649 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 4.649 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 4.649 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.649 * [taylor]: Taking taylor expansion of x in x 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 1 into 1 4.649 * [backup-simplify]: Simplify (/ 1 1) into 1 4.650 * [backup-simplify]: Simplify (sqrt 0) into 0 4.651 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 4.651 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 4.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.652 * [taylor]: Taking taylor expansion of x in x 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 1 into 1 4.652 * [backup-simplify]: Simplify (/ 1 1) into 1 4.652 * [taylor]: Taking taylor expansion of 1.0 in x 4.652 * [backup-simplify]: Simplify 1.0 into 1.0 4.652 * [backup-simplify]: Simplify (+ 1 0) into 1 4.653 * [backup-simplify]: Simplify (sqrt 0) into 0 4.654 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.655 * [backup-simplify]: Simplify (+ 0 0) into 0 4.655 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.656 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 4.656 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 4.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.660 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.661 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.664 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.664 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.666 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.667 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 4.668 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt +nan.0)) into (* (sqrt 1.0) (sqrt +nan.0)) 4.669 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt +nan.0)) into (* (sqrt 1.0) (sqrt +nan.0)) 4.671 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 4.673 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 4.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.676 * [backup-simplify]: Simplify (+ 0 0) into 0 4.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.679 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.682 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.685 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 4.686 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.696 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 4.707 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 4.721 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) (/ 1 x)) (* (sqrt 1.0) (sqrt +nan.0)))) into (- (* (sqrt 1.0) (sqrt +nan.0)) (+ (* +nan.0 (/ (sqrt 1.0) (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ (sqrt 1.0) (* x (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt 1.0) (* (pow x 2) (sqrt +nan.0))))))))) 4.721 * [backup-simplify]: Simplify (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) into (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 4.721 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 4.721 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 4.721 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.721 * [taylor]: Taking taylor expansion of 1.0 in x 4.721 * [backup-simplify]: Simplify 1.0 into 1.0 4.721 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.722 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 4.722 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 4.722 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.722 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.722 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.722 * [taylor]: Taking taylor expansion of -1 in x 4.722 * [backup-simplify]: Simplify -1 into -1 4.722 * [taylor]: Taking taylor expansion of x in x 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify 1 into 1 4.722 * [backup-simplify]: Simplify (/ -1 1) into -1 4.722 * [backup-simplify]: Simplify (sqrt 0) into 0 4.723 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.723 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.723 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.723 * [taylor]: Taking taylor expansion of 1.0 in x 4.723 * [backup-simplify]: Simplify 1.0 into 1.0 4.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.723 * [taylor]: Taking taylor expansion of x in x 4.723 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify 1 into 1 4.724 * [backup-simplify]: Simplify (/ 1 1) into 1 4.724 * [backup-simplify]: Simplify (- 1) into -1 4.724 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.724 * [backup-simplify]: Simplify (sqrt 0) into 0 4.725 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.725 * [backup-simplify]: Simplify (+ 0 0) into 0 4.725 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.726 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 4.726 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 4.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.729 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.729 * [backup-simplify]: Simplify (- 0) into 0 4.729 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.731 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.731 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.735 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.736 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 4.736 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 4.736 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.736 * [taylor]: Taking taylor expansion of 1.0 in x 4.736 * [backup-simplify]: Simplify 1.0 into 1.0 4.736 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 4.737 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 4.737 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.737 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.737 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.737 * [taylor]: Taking taylor expansion of -1 in x 4.737 * [backup-simplify]: Simplify -1 into -1 4.737 * [taylor]: Taking taylor expansion of x in x 4.737 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify 1 into 1 4.737 * [backup-simplify]: Simplify (/ -1 1) into -1 4.738 * [backup-simplify]: Simplify (sqrt 0) into 0 4.738 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.738 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.738 * [taylor]: Taking taylor expansion of 1.0 in x 4.738 * [backup-simplify]: Simplify 1.0 into 1.0 4.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.738 * [taylor]: Taking taylor expansion of x in x 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 1 into 1 4.739 * [backup-simplify]: Simplify (/ 1 1) into 1 4.739 * [backup-simplify]: Simplify (- 1) into -1 4.739 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.739 * [backup-simplify]: Simplify (sqrt 0) into 0 4.740 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.740 * [backup-simplify]: Simplify (+ 0 0) into 0 4.741 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.741 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 4.741 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 4.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.744 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.745 * [backup-simplify]: Simplify (- 0) into 0 4.745 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.747 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.747 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.749 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.750 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 4.751 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt +nan.0)) into (* (sqrt 1.0) (sqrt +nan.0)) 4.752 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt +nan.0)) into (* (sqrt 1.0) (sqrt +nan.0)) 4.756 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 4.759 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 4.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.765 * [backup-simplify]: Simplify (- 0) into 0 4.766 * [backup-simplify]: Simplify (+ 0 0) into 0 4.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.770 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.775 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.780 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 4.781 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.794 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 4.800 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 4.808 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) (/ 1 (- x))) (* (sqrt 1.0) (sqrt +nan.0)))) into (- (* (sqrt 1.0) (sqrt +nan.0)) (+ (* +nan.0 (/ (sqrt 1.0) (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ (sqrt 1.0) (* x (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt 1.0) (* (pow x 2) (sqrt +nan.0))))))))) 4.808 * * * [progress]: simplifying candidates 4.813 * [simplify]: Simplifying: (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (+ 1 1) (+ (log (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (exp (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (* (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) 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+nan.0 (/ (sqrt 1.0) (* x (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt 1.0) (* (pow x 2) (sqrt +nan.0))))))))) 4.818 * * [simplify]: iteration 0: 310 enodes 4.952 * * [simplify]: iteration 1: 702 enodes 5.377 * * [simplify]: iteration 2: 3223 enodes 6.176 * * [simplify]: iteration complete: 5001 enodes 6.176 * * [simplify]: Extracting #0: cost 102 inf + 0 6.178 * * [simplify]: Extracting #1: cost 800 inf + 86 6.184 * * [simplify]: Extracting #2: cost 1358 inf + 2036 6.207 * * [simplify]: Extracting #3: cost 1904 inf + 17454 6.262 * * [simplify]: Extracting #4: cost 1095 inf + 195567 6.362 * * [simplify]: Extracting #5: cost 404 inf + 378409 6.467 * * [simplify]: Extracting #6: cost 95 inf + 495702 6.607 * * [simplify]: Extracting #7: cost 21 inf + 529835 6.766 * * [simplify]: Extracting #8: cost 1 inf + 546771 6.889 * * [simplify]: Extracting #9: cost 0 inf + 548079 7.062 * [simplify]: Simplified to: 1 1 2 1 1 (* (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 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(/ x 1.0))) (* +nan.0 (- (/ x 1.0) (/ (* x x) 1.0)))))) (- (- (/ +nan.0 (* x x)) (- (/ +nan.0 x) +nan.0))) (- (- (/ +nan.0 (* x x)) (- (/ +nan.0 x) +nan.0))) (- (+ (/ 1.0 (sqrt 1.0)) (/ (* 0.375 (* x x)) (pow (sqrt 1.0) 5))) (+ (- (/ (* x 0.5) (* (sqrt 1.0) 1.0)) (/ (* x x) (/ (* (sqrt 1.0) 1.0) +nan.0))) (- (* +nan.0 (* (/ x 1.0) (/ x 1.0))) (* +nan.0 (- (/ x 1.0) (/ (* x x) 1.0)))))) (- (- (/ +nan.0 (* x x)) (- (/ +nan.0 x) +nan.0))) (- (- (/ +nan.0 (* x x)) (- (/ +nan.0 x) +nan.0))) (+ (sqrt (sqrt 1.0)) (- (* (* 5/32 (* x x)) (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (- (* x (+ (* (sqrt (/ 1 (sqrt 1.0))) +nan.0) (* 1/4 (sqrt (/ 1 (* (sqrt 1.0) 1.0)))))) (* (* x x) (* (sqrt (/ 1 (sqrt 1.0))) +nan.0))) (* (* x x) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5)))) (* +nan.0 (sqrt (/ 1 (* (sqrt 1.0) 1.0))))))))) (- (* (sqrt 1.0) (sqrt +nan.0)) (- (/ (* +nan.0 (sqrt 1.0)) (* (sqrt +nan.0) (* +nan.0 (* x x)))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) x)) (/ (/ (sqrt 1.0) (* x x)) (sqrt +nan.0)))))) (- (* (sqrt 1.0) (sqrt +nan.0)) (- (/ (* +nan.0 (sqrt 1.0)) (* (sqrt +nan.0) (* +nan.0 (* x x)))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) x)) (/ (/ (sqrt 1.0) (* x x)) (sqrt +nan.0)))))) 7.092 * * * [progress]: adding candidates to table 8.235 * * [progress]: iteration 4 / 4 8.235 * * * [progress]: picking best candidate 8.257 * * * * [pick]: Picked # 8.257 * * * [progress]: localizing error 8.282 * * * [progress]: generating rewritten candidates 8.282 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 8.433 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.483 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.518 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 8.620 * * * [progress]: generating series expansions 8.620 * * * * [progress]: [ 1 / 4 ] generating series at (2) 8.620 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 8.620 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 8.620 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 8.620 * [taylor]: Taking taylor expansion of 1.0 in x 8.620 * [backup-simplify]: Simplify 1.0 into 1.0 8.620 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 8.620 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 8.620 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 8.620 * [taylor]: Taking taylor expansion of x in x 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 1 into 1 8.620 * [taylor]: Taking taylor expansion of 1.0 in x 8.620 * [backup-simplify]: Simplify 1.0 into 1.0 8.621 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.621 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 8.622 * [backup-simplify]: Simplify (+ 1 0) into 1 8.623 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 8.623 * [taylor]: Taking taylor expansion of (sqrt x) in x 8.623 * [taylor]: Taking taylor expansion of x in x 8.623 * [backup-simplify]: Simplify 0 into 0 8.623 * [backup-simplify]: Simplify 1 into 1 8.623 * [backup-simplify]: Simplify (sqrt 0) into 0 8.624 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.625 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 8.625 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 8.625 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 8.625 * [taylor]: Taking taylor expansion of 1.0 in x 8.625 * [backup-simplify]: Simplify 1.0 into 1.0 8.625 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 8.625 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 8.625 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 8.625 * [taylor]: Taking taylor expansion of x in x 8.625 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify 1 into 1 8.625 * [taylor]: Taking taylor expansion of 1.0 in x 8.625 * [backup-simplify]: Simplify 1.0 into 1.0 8.626 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.626 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 8.626 * [backup-simplify]: Simplify (+ 1 0) into 1 8.633 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 8.633 * [taylor]: Taking taylor expansion of (sqrt x) in x 8.633 * [taylor]: Taking taylor expansion of x in x 8.633 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify 1 into 1 8.634 * [backup-simplify]: Simplify (sqrt 0) into 0 8.635 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.636 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 8.636 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 8.637 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 8.639 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 8.649 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 8.659 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 8.660 * [backup-simplify]: Simplify (+ 0 0) into 0 8.665 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 8.668 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.671 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 8.713 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 8.737 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 8.766 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow x 2)) (+ (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))))))))))) 8.766 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 8.766 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 8.766 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 8.766 * [taylor]: Taking taylor expansion of 1.0 in x 8.766 * [backup-simplify]: Simplify 1.0 into 1.0 8.766 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 8.766 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 8.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.766 * [taylor]: Taking taylor expansion of x in x 8.766 * [backup-simplify]: Simplify 0 into 0 8.767 * [backup-simplify]: Simplify 1 into 1 8.767 * [backup-simplify]: Simplify (/ 1 1) into 1 8.767 * [backup-simplify]: Simplify (sqrt 0) into 0 8.768 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 8.768 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 8.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.768 * [taylor]: Taking taylor expansion of x in x 8.768 * [backup-simplify]: Simplify 0 into 0 8.768 * [backup-simplify]: Simplify 1 into 1 8.768 * [backup-simplify]: Simplify (/ 1 1) into 1 8.768 * [taylor]: Taking taylor expansion of 1.0 in x 8.768 * [backup-simplify]: Simplify 1.0 into 1.0 8.768 * [backup-simplify]: Simplify (+ 1 0) into 1 8.769 * [backup-simplify]: Simplify (sqrt 0) into 0 8.769 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.770 * [backup-simplify]: Simplify (+ 0 0) into 0 8.770 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 8.771 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 8.771 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 8.771 * [taylor]: Taking taylor expansion of 1.0 in x 8.771 * [backup-simplify]: Simplify 1.0 into 1.0 8.771 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 8.771 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 8.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.771 * [taylor]: Taking taylor expansion of x in x 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 1 into 1 8.771 * [backup-simplify]: Simplify (/ 1 1) into 1 8.771 * [backup-simplify]: Simplify (sqrt 0) into 0 8.772 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 8.772 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 8.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.772 * [taylor]: Taking taylor expansion of x in x 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [backup-simplify]: Simplify (/ 1 1) into 1 8.772 * [taylor]: Taking taylor expansion of 1.0 in x 8.772 * [backup-simplify]: Simplify 1.0 into 1.0 8.773 * [backup-simplify]: Simplify (+ 1 0) into 1 8.773 * [backup-simplify]: Simplify (sqrt 0) into 0 8.774 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.774 * [backup-simplify]: Simplify (+ 0 0) into 0 8.774 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 8.775 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 8.775 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.777 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.778 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.780 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.780 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 8.783 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 8.783 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.786 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.787 * [backup-simplify]: Simplify (+ 0 0) into 0 8.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.790 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 8.796 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 8.796 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.798 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 8.798 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 8.798 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 8.798 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 8.798 * [taylor]: Taking taylor expansion of 1.0 in x 8.798 * [backup-simplify]: Simplify 1.0 into 1.0 8.798 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 8.798 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 8.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.798 * [taylor]: Taking taylor expansion of -1 in x 8.798 * [backup-simplify]: Simplify -1 into -1 8.798 * [taylor]: Taking taylor expansion of x in x 8.798 * [backup-simplify]: Simplify 0 into 0 8.798 * [backup-simplify]: Simplify 1 into 1 8.799 * [backup-simplify]: Simplify (/ -1 1) into -1 8.799 * [backup-simplify]: Simplify (sqrt 0) into 0 8.801 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.801 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 8.801 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 8.801 * [taylor]: Taking taylor expansion of 1.0 in x 8.801 * [backup-simplify]: Simplify 1.0 into 1.0 8.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.801 * [taylor]: Taking taylor expansion of x in x 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify 1 into 1 8.801 * [backup-simplify]: Simplify (/ 1 1) into 1 8.802 * [backup-simplify]: Simplify (- 1) into -1 8.802 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.802 * [backup-simplify]: Simplify (sqrt 0) into 0 8.804 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.804 * [backup-simplify]: Simplify (+ 0 0) into 0 8.804 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 8.805 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 8.805 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 8.805 * [taylor]: Taking taylor expansion of 1.0 in x 8.805 * [backup-simplify]: Simplify 1.0 into 1.0 8.805 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 8.805 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 8.805 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.805 * [taylor]: Taking taylor expansion of -1 in x 8.805 * [backup-simplify]: Simplify -1 into -1 8.805 * [taylor]: Taking taylor expansion of x in x 8.805 * [backup-simplify]: Simplify 0 into 0 8.806 * [backup-simplify]: Simplify 1 into 1 8.806 * [backup-simplify]: Simplify (/ -1 1) into -1 8.806 * [backup-simplify]: Simplify (sqrt 0) into 0 8.808 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.808 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 8.808 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 8.808 * [taylor]: Taking taylor expansion of 1.0 in x 8.808 * [backup-simplify]: Simplify 1.0 into 1.0 8.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.808 * [taylor]: Taking taylor expansion of x in x 8.808 * [backup-simplify]: Simplify 0 into 0 8.808 * [backup-simplify]: Simplify 1 into 1 8.808 * [backup-simplify]: Simplify (/ 1 1) into 1 8.809 * [backup-simplify]: Simplify (- 1) into -1 8.809 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.809 * [backup-simplify]: Simplify (sqrt 0) into 0 8.810 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.811 * [backup-simplify]: Simplify (+ 0 0) into 0 8.811 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 8.812 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 8.812 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.816 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.817 * [backup-simplify]: Simplify (- 0) into 0 8.818 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.821 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.821 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 8.825 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 8.825 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.832 * [backup-simplify]: Simplify (- 0) into 0 8.832 * [backup-simplify]: Simplify (+ 0 0) into 0 8.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.836 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 8.842 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 8.843 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.844 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 8.844 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.844 * [backup-simplify]: Simplify (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) into (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) 8.844 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 8.844 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 8.844 * [taylor]: Taking taylor expansion of 1.0 in x 8.844 * [backup-simplify]: Simplify 1.0 into 1.0 8.844 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 8.844 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 8.844 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 8.844 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 8.844 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 8.844 * [taylor]: Taking taylor expansion of x in x 8.844 * [backup-simplify]: Simplify 0 into 0 8.844 * [backup-simplify]: Simplify 1 into 1 8.844 * [taylor]: Taking taylor expansion of 1.0 in x 8.845 * [backup-simplify]: Simplify 1.0 into 1.0 8.845 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.845 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 8.846 * [backup-simplify]: Simplify (+ 1 0) into 1 8.847 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 8.847 * [taylor]: Taking taylor expansion of (sqrt x) in x 8.847 * [taylor]: Taking taylor expansion of x in x 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [backup-simplify]: Simplify 1 into 1 8.848 * [backup-simplify]: Simplify (sqrt 0) into 0 8.849 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.850 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 8.851 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 8.852 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 8.854 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 8.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 8.880 * [backup-simplify]: Simplify (/ (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 8.880 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 8.880 * [taylor]: Taking taylor expansion of 1.0 in x 8.880 * [backup-simplify]: Simplify 1.0 into 1.0 8.880 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 8.880 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 8.880 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 8.880 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 8.880 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 8.880 * [taylor]: Taking taylor expansion of x in x 8.880 * [backup-simplify]: Simplify 0 into 0 8.880 * [backup-simplify]: Simplify 1 into 1 8.880 * [taylor]: Taking taylor expansion of 1.0 in x 8.880 * [backup-simplify]: Simplify 1.0 into 1.0 8.881 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.881 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 8.881 * [backup-simplify]: Simplify (+ 1 0) into 1 8.883 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 8.883 * [taylor]: Taking taylor expansion of (sqrt x) in x 8.883 * [taylor]: Taking taylor expansion of x in x 8.883 * [backup-simplify]: Simplify 0 into 0 8.883 * [backup-simplify]: Simplify 1 into 1 8.883 * [backup-simplify]: Simplify (sqrt 0) into 0 8.885 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.886 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 8.886 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 8.891 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 8.892 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 8.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 8.917 * [backup-simplify]: Simplify (/ (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 8.920 * [backup-simplify]: Simplify (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) into (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) 8.922 * [backup-simplify]: Simplify (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) into (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) 8.935 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (* 0 (sqrt (/ 1 (sqrt 1.0))))) into (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (* 0.25 (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) 8.942 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (* 0.25 (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) into (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (* 0.25 (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) 8.942 * [backup-simplify]: Simplify (+ 0 0) into 0 8.945 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 8.947 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.948 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 8.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 9.048 * [backup-simplify]: Simplify (/ (- (- (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 2) (+)) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* 1/2 (* (sqrt (sqrt 1.0)) (- (* 5/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))))) 9.081 * [backup-simplify]: Simplify (+ (* 1.0 (* 1/2 (* (sqrt (sqrt 1.0)) (- (* 5/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))))))) (+ (* 0 (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (* 0 (sqrt (/ 1 (sqrt 1.0)))))) into (- (* 0.15625 (sqrt (/ 1 (pow (sqrt 1.0) 9)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) 9.103 * [backup-simplify]: Simplify (- (* 0.15625 (sqrt (/ 1 (pow (sqrt 1.0) 9)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) into (- (* 0.15625 (sqrt (/ 1 (pow (sqrt 1.0) 9)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) 9.151 * [backup-simplify]: Simplify (+ (* (- (* 0.15625 (sqrt (/ 1 (pow (sqrt 1.0) 9)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (* 0.25 (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) x) (* 1.0 (sqrt (/ 1 (sqrt 1.0)))))) into (- (+ (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) (* 0.15625 (* (sqrt (/ 1 (pow (sqrt 1.0) 9))) (pow x 2)))) (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) x)) (- (* 0.25 (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) x)) (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) (pow x 2))) (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 7))) (pow x 2))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (pow x 2)))))))))) 9.151 * [backup-simplify]: Simplify (/ 1.0 (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) into (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) 9.151 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in (x) around 0 9.151 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 9.151 * [taylor]: Taking taylor expansion of 1.0 in x 9.151 * [backup-simplify]: Simplify 1.0 into 1.0 9.151 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 9.151 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 9.151 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 9.152 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 9.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.152 * [taylor]: Taking taylor expansion of x in x 9.152 * [backup-simplify]: Simplify 0 into 0 9.152 * [backup-simplify]: Simplify 1 into 1 9.152 * [backup-simplify]: Simplify (/ 1 1) into 1 9.152 * [backup-simplify]: Simplify (sqrt 0) into 0 9.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 9.154 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 9.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.154 * [taylor]: Taking taylor expansion of x in x 9.154 * [backup-simplify]: Simplify 0 into 0 9.154 * [backup-simplify]: Simplify 1 into 1 9.155 * [backup-simplify]: Simplify (/ 1 1) into 1 9.155 * [taylor]: Taking taylor expansion of 1.0 in x 9.155 * [backup-simplify]: Simplify 1.0 into 1.0 9.155 * [backup-simplify]: Simplify (+ 1 0) into 1 9.156 * [backup-simplify]: Simplify (sqrt 0) into 0 9.157 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.157 * [backup-simplify]: Simplify (+ 0 0) into 0 9.158 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.159 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 9.159 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 9.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.163 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.164 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.168 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.168 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.171 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 9.173 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 9.173 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 9.173 * [taylor]: Taking taylor expansion of 1.0 in x 9.173 * [backup-simplify]: Simplify 1.0 into 1.0 9.173 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 9.173 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 9.173 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 9.173 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 9.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.173 * [taylor]: Taking taylor expansion of x in x 9.174 * [backup-simplify]: Simplify 0 into 0 9.174 * [backup-simplify]: Simplify 1 into 1 9.174 * [backup-simplify]: Simplify (/ 1 1) into 1 9.174 * [backup-simplify]: Simplify (sqrt 0) into 0 9.176 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.176 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 9.176 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 9.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.176 * [taylor]: Taking taylor expansion of x in x 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify 1 into 1 9.176 * [backup-simplify]: Simplify (/ 1 1) into 1 9.176 * [taylor]: Taking taylor expansion of 1.0 in x 9.176 * [backup-simplify]: Simplify 1.0 into 1.0 9.177 * [backup-simplify]: Simplify (+ 1 0) into 1 9.177 * [backup-simplify]: Simplify (sqrt 0) into 0 9.178 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.179 * [backup-simplify]: Simplify (+ 0 0) into 0 9.179 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.180 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 9.180 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 9.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.184 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.186 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.189 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.189 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.192 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 9.194 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 9.195 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 9.196 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 9.199 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 9.201 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 9.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.208 * [backup-simplify]: Simplify (+ 0 0) into 0 9.212 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.212 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.218 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 9.224 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 9.237 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) 9.243 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) 9.250 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 x)) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 9.250 * [backup-simplify]: Simplify (/ 1.0 (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) into (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 9.250 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 9.250 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 9.250 * [taylor]: Taking taylor expansion of 1.0 in x 9.250 * [backup-simplify]: Simplify 1.0 into 1.0 9.250 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 9.250 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 9.250 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 9.250 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 9.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.250 * [taylor]: Taking taylor expansion of -1 in x 9.250 * [backup-simplify]: Simplify -1 into -1 9.250 * [taylor]: Taking taylor expansion of x in x 9.250 * [backup-simplify]: Simplify 0 into 0 9.250 * [backup-simplify]: Simplify 1 into 1 9.251 * [backup-simplify]: Simplify (/ -1 1) into -1 9.251 * [backup-simplify]: Simplify (sqrt 0) into 0 9.253 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.253 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 9.253 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 9.253 * [taylor]: Taking taylor expansion of 1.0 in x 9.253 * [backup-simplify]: Simplify 1.0 into 1.0 9.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.253 * [taylor]: Taking taylor expansion of x in x 9.253 * [backup-simplify]: Simplify 0 into 0 9.253 * [backup-simplify]: Simplify 1 into 1 9.254 * [backup-simplify]: Simplify (/ 1 1) into 1 9.254 * [backup-simplify]: Simplify (- 1) into -1 9.254 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.254 * [backup-simplify]: Simplify (sqrt 0) into 0 9.255 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.255 * [backup-simplify]: Simplify (+ 0 0) into 0 9.256 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.256 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 9.256 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 9.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.259 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.259 * [backup-simplify]: Simplify (- 0) into 0 9.260 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.261 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.262 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.264 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 9.265 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 9.265 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 9.265 * [taylor]: Taking taylor expansion of 1.0 in x 9.265 * [backup-simplify]: Simplify 1.0 into 1.0 9.265 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 9.265 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 9.265 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 9.265 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 9.265 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.265 * [taylor]: Taking taylor expansion of -1 in x 9.265 * [backup-simplify]: Simplify -1 into -1 9.265 * [taylor]: Taking taylor expansion of x in x 9.265 * [backup-simplify]: Simplify 0 into 0 9.265 * [backup-simplify]: Simplify 1 into 1 9.265 * [backup-simplify]: Simplify (/ -1 1) into -1 9.265 * [backup-simplify]: Simplify (sqrt 0) into 0 9.266 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.266 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 9.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 9.266 * [taylor]: Taking taylor expansion of 1.0 in x 9.266 * [backup-simplify]: Simplify 1.0 into 1.0 9.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.266 * [taylor]: Taking taylor expansion of x in x 9.266 * [backup-simplify]: Simplify 0 into 0 9.266 * [backup-simplify]: Simplify 1 into 1 9.267 * [backup-simplify]: Simplify (/ 1 1) into 1 9.267 * [backup-simplify]: Simplify (- 1) into -1 9.267 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.268 * [backup-simplify]: Simplify (sqrt 0) into 0 9.269 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.269 * [backup-simplify]: Simplify (+ 0 0) into 0 9.270 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.271 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 9.271 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 9.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.275 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.276 * [backup-simplify]: Simplify (- 0) into 0 9.277 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.280 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.280 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.283 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 9.284 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 9.285 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 9.285 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 9.287 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 9.288 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 9.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.292 * [backup-simplify]: Simplify (- 0) into 0 9.292 * [backup-simplify]: Simplify (+ 0 0) into 0 9.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.295 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.298 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 9.301 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 9.309 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) 9.315 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) 9.326 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 (- x))) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 9.326 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 9.326 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) into (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 9.326 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 9.326 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 9.326 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 9.326 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 9.326 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 9.326 * [taylor]: Taking taylor expansion of x in x 9.326 * [backup-simplify]: Simplify 0 into 0 9.326 * [backup-simplify]: Simplify 1 into 1 9.326 * [taylor]: Taking taylor expansion of 1.0 in x 9.327 * [backup-simplify]: Simplify 1.0 into 1.0 9.327 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.327 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.328 * [backup-simplify]: Simplify (+ 1 0) into 1 9.329 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 9.329 * [taylor]: Taking taylor expansion of (sqrt x) in x 9.329 * [taylor]: Taking taylor expansion of x in x 9.329 * [backup-simplify]: Simplify 0 into 0 9.329 * [backup-simplify]: Simplify 1 into 1 9.330 * [backup-simplify]: Simplify (sqrt 0) into 0 9.331 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.332 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 9.332 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 9.333 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 9.336 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 9.336 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 9.336 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 9.336 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 9.336 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 9.336 * [taylor]: Taking taylor expansion of x in x 9.336 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify 1 into 1 9.336 * [taylor]: Taking taylor expansion of 1.0 in x 9.336 * [backup-simplify]: Simplify 1.0 into 1.0 9.337 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.337 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.337 * [backup-simplify]: Simplify (+ 1 0) into 1 9.338 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 9.338 * [taylor]: Taking taylor expansion of (sqrt x) in x 9.338 * [taylor]: Taking taylor expansion of x in x 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify 1 into 1 9.338 * [backup-simplify]: Simplify (sqrt 0) into 0 9.339 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.340 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 9.340 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 9.341 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 9.344 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 9.345 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 9.350 * [backup-simplify]: Simplify (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 9.351 * [backup-simplify]: Simplify (+ 0 0) into 0 9.354 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 9.356 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.357 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 9.376 * [backup-simplify]: Simplify (/ (- (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (pow (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2) (+)) (* 2 (sqrt (sqrt 1.0)))) into (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))))) 9.403 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))))) into (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- +nan.0))))))) 9.435 * [backup-simplify]: Simplify (+ (* (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- +nan.0))))))) (pow x 2)) (+ (* (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) x) (sqrt (sqrt 1.0)))) into (- (+ (* 1/4 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) x)) (sqrt (sqrt 1.0))) (+ (* +nan.0 (* (sqrt (/ 1 (sqrt 1.0))) (pow x 2))) (- (* 3/32 (* (sqrt (/ 1 (pow (sqrt 1.0) 7))) (pow x 2))) (+ (* +nan.0 (* (sqrt (/ 1 (sqrt 1.0))) x)) (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) (pow x 2))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (pow x 2)))))))))) 9.435 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 9.435 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 9.435 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 9.435 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 9.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 9.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.435 * [taylor]: Taking taylor expansion of x in x 9.435 * [backup-simplify]: Simplify 0 into 0 9.435 * [backup-simplify]: Simplify 1 into 1 9.436 * [backup-simplify]: Simplify (/ 1 1) into 1 9.436 * [backup-simplify]: Simplify (sqrt 0) into 0 9.437 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 9.438 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 9.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.438 * [taylor]: Taking taylor expansion of x in x 9.438 * [backup-simplify]: Simplify 0 into 0 9.438 * [backup-simplify]: Simplify 1 into 1 9.438 * [backup-simplify]: Simplify (/ 1 1) into 1 9.438 * [taylor]: Taking taylor expansion of 1.0 in x 9.438 * [backup-simplify]: Simplify 1.0 into 1.0 9.438 * [backup-simplify]: Simplify (+ 1 0) into 1 9.439 * [backup-simplify]: Simplify (sqrt 0) into 0 9.440 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.440 * [backup-simplify]: Simplify (+ 0 0) into 0 9.441 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.442 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 9.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.445 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.446 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.449 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.450 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.452 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 9.452 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 9.452 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 9.452 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 9.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.452 * [taylor]: Taking taylor expansion of x in x 9.452 * [backup-simplify]: Simplify 0 into 0 9.452 * [backup-simplify]: Simplify 1 into 1 9.453 * [backup-simplify]: Simplify (/ 1 1) into 1 9.453 * [backup-simplify]: Simplify (sqrt 0) into 0 9.454 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 9.454 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 9.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.454 * [taylor]: Taking taylor expansion of x in x 9.454 * [backup-simplify]: Simplify 0 into 0 9.454 * [backup-simplify]: Simplify 1 into 1 9.455 * [backup-simplify]: Simplify (/ 1 1) into 1 9.455 * [taylor]: Taking taylor expansion of 1.0 in x 9.455 * [backup-simplify]: Simplify 1.0 into 1.0 9.455 * [backup-simplify]: Simplify (+ 1 0) into 1 9.456 * [backup-simplify]: Simplify (sqrt 0) into 0 9.457 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.457 * [backup-simplify]: Simplify (+ 0 0) into 0 9.458 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.458 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 9.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.462 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.463 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.466 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.467 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.469 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 9.469 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 9.470 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 9.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.479 * [backup-simplify]: Simplify (+ 0 0) into 0 9.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.483 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.489 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 9.497 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 9.505 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 9.505 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 9.506 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 9.506 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 9.506 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 9.506 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 9.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.506 * [taylor]: Taking taylor expansion of -1 in x 9.506 * [backup-simplify]: Simplify -1 into -1 9.506 * [taylor]: Taking taylor expansion of x in x 9.506 * [backup-simplify]: Simplify 0 into 0 9.506 * [backup-simplify]: Simplify 1 into 1 9.506 * [backup-simplify]: Simplify (/ -1 1) into -1 9.507 * [backup-simplify]: Simplify (sqrt 0) into 0 9.508 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.508 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 9.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 9.508 * [taylor]: Taking taylor expansion of 1.0 in x 9.508 * [backup-simplify]: Simplify 1.0 into 1.0 9.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.508 * [taylor]: Taking taylor expansion of x in x 9.508 * [backup-simplify]: Simplify 0 into 0 9.508 * [backup-simplify]: Simplify 1 into 1 9.509 * [backup-simplify]: Simplify (/ 1 1) into 1 9.509 * [backup-simplify]: Simplify (- 1) into -1 9.509 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.510 * [backup-simplify]: Simplify (sqrt 0) into 0 9.511 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.511 * [backup-simplify]: Simplify (+ 0 0) into 0 9.512 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.513 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 9.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.516 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.517 * [backup-simplify]: Simplify (- 0) into 0 9.518 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.521 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.521 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.524 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 9.524 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 9.524 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 9.524 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 9.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.524 * [taylor]: Taking taylor expansion of -1 in x 9.524 * [backup-simplify]: Simplify -1 into -1 9.524 * [taylor]: Taking taylor expansion of x in x 9.524 * [backup-simplify]: Simplify 0 into 0 9.524 * [backup-simplify]: Simplify 1 into 1 9.524 * [backup-simplify]: Simplify (/ -1 1) into -1 9.525 * [backup-simplify]: Simplify (sqrt 0) into 0 9.526 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.526 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 9.526 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 9.526 * [taylor]: Taking taylor expansion of 1.0 in x 9.526 * [backup-simplify]: Simplify 1.0 into 1.0 9.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.526 * [taylor]: Taking taylor expansion of x in x 9.526 * [backup-simplify]: Simplify 0 into 0 9.526 * [backup-simplify]: Simplify 1 into 1 9.527 * [backup-simplify]: Simplify (/ 1 1) into 1 9.527 * [backup-simplify]: Simplify (- 1) into -1 9.527 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.528 * [backup-simplify]: Simplify (sqrt 0) into 0 9.529 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.529 * [backup-simplify]: Simplify (+ 0 0) into 0 9.530 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.531 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 9.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.534 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.535 * [backup-simplify]: Simplify (- 0) into 0 9.536 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.539 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.539 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.542 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 9.542 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 9.543 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 9.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.549 * [backup-simplify]: Simplify (- 0) into 0 9.550 * [backup-simplify]: Simplify (+ 0 0) into 0 9.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.554 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.560 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 9.567 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 9.575 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 9.575 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 9.575 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) into (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 9.576 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 9.576 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 9.576 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 9.576 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 9.576 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 9.576 * [taylor]: Taking taylor expansion of x in x 9.576 * [backup-simplify]: Simplify 0 into 0 9.576 * [backup-simplify]: Simplify 1 into 1 9.576 * [taylor]: Taking taylor expansion of 1.0 in x 9.576 * [backup-simplify]: Simplify 1.0 into 1.0 9.576 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.577 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.577 * [backup-simplify]: Simplify (+ 1 0) into 1 9.579 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 9.579 * [taylor]: Taking taylor expansion of (sqrt x) in x 9.579 * [taylor]: Taking taylor expansion of x in x 9.579 * [backup-simplify]: Simplify 0 into 0 9.579 * [backup-simplify]: Simplify 1 into 1 9.579 * [backup-simplify]: Simplify (sqrt 0) into 0 9.580 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.581 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 9.582 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 9.584 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 9.589 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 9.589 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 9.589 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 9.589 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 9.589 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 9.589 * [taylor]: Taking taylor expansion of x in x 9.589 * [backup-simplify]: Simplify 0 into 0 9.589 * [backup-simplify]: Simplify 1 into 1 9.589 * [taylor]: Taking taylor expansion of 1.0 in x 9.589 * [backup-simplify]: Simplify 1.0 into 1.0 9.590 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.590 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.590 * [backup-simplify]: Simplify (+ 1 0) into 1 9.592 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 9.592 * [taylor]: Taking taylor expansion of (sqrt x) in x 9.592 * [taylor]: Taking taylor expansion of x in x 9.592 * [backup-simplify]: Simplify 0 into 0 9.592 * [backup-simplify]: Simplify 1 into 1 9.592 * [backup-simplify]: Simplify (sqrt 0) into 0 9.594 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.594 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 9.595 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 9.597 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 9.602 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 9.603 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 9.610 * [backup-simplify]: Simplify (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 9.611 * [backup-simplify]: Simplify (+ 0 0) into 0 9.618 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 9.621 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.624 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 9.647 * [backup-simplify]: Simplify (/ (- (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (pow (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2) (+)) (* 2 (sqrt (sqrt 1.0)))) into (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))))) 9.662 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))))) into (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- +nan.0))))))) 9.687 * [backup-simplify]: Simplify (+ (* (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- +nan.0))))))) (pow x 2)) (+ (* (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) x) (sqrt (sqrt 1.0)))) into (- (+ (* 1/4 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) x)) (sqrt (sqrt 1.0))) (+ (* +nan.0 (* (sqrt (/ 1 (sqrt 1.0))) (pow x 2))) (- (* 3/32 (* (sqrt (/ 1 (pow (sqrt 1.0) 7))) (pow x 2))) (+ (* +nan.0 (* (sqrt (/ 1 (sqrt 1.0))) x)) (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) (pow x 2))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (pow x 2)))))))))) 9.687 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 9.687 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 9.687 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 9.687 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 9.687 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 9.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.687 * [taylor]: Taking taylor expansion of x in x 9.687 * [backup-simplify]: Simplify 0 into 0 9.687 * [backup-simplify]: Simplify 1 into 1 9.688 * [backup-simplify]: Simplify (/ 1 1) into 1 9.688 * [backup-simplify]: Simplify (sqrt 0) into 0 9.689 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 9.689 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 9.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.689 * [taylor]: Taking taylor expansion of x in x 9.689 * [backup-simplify]: Simplify 0 into 0 9.689 * [backup-simplify]: Simplify 1 into 1 9.689 * [backup-simplify]: Simplify (/ 1 1) into 1 9.689 * [taylor]: Taking taylor expansion of 1.0 in x 9.689 * [backup-simplify]: Simplify 1.0 into 1.0 9.689 * [backup-simplify]: Simplify (+ 1 0) into 1 9.690 * [backup-simplify]: Simplify (sqrt 0) into 0 9.690 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.691 * [backup-simplify]: Simplify (+ 0 0) into 0 9.691 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.691 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 9.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.693 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.694 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.696 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.696 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.698 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 9.698 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 9.698 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 9.698 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 9.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.698 * [taylor]: Taking taylor expansion of x in x 9.698 * [backup-simplify]: Simplify 0 into 0 9.698 * [backup-simplify]: Simplify 1 into 1 9.698 * [backup-simplify]: Simplify (/ 1 1) into 1 9.698 * [backup-simplify]: Simplify (sqrt 0) into 0 9.699 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.699 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 9.699 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 9.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.699 * [taylor]: Taking taylor expansion of x in x 9.699 * [backup-simplify]: Simplify 0 into 0 9.699 * [backup-simplify]: Simplify 1 into 1 9.699 * [backup-simplify]: Simplify (/ 1 1) into 1 9.699 * [taylor]: Taking taylor expansion of 1.0 in x 9.699 * [backup-simplify]: Simplify 1.0 into 1.0 9.700 * [backup-simplify]: Simplify (+ 1 0) into 1 9.700 * [backup-simplify]: Simplify (sqrt 0) into 0 9.701 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.701 * [backup-simplify]: Simplify (+ 0 0) into 0 9.701 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.702 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 9.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.704 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.705 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.707 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.707 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.709 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 9.709 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 9.710 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 9.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.713 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.714 * [backup-simplify]: Simplify (+ 0 0) into 0 9.716 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.717 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.725 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 9.733 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 9.742 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 9.742 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 9.742 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 9.742 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 9.742 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 9.742 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 9.742 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.742 * [taylor]: Taking taylor expansion of -1 in x 9.742 * [backup-simplify]: Simplify -1 into -1 9.742 * [taylor]: Taking taylor expansion of x in x 9.742 * [backup-simplify]: Simplify 0 into 0 9.742 * [backup-simplify]: Simplify 1 into 1 9.743 * [backup-simplify]: Simplify (/ -1 1) into -1 9.743 * [backup-simplify]: Simplify (sqrt 0) into 0 9.744 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.744 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 9.744 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 9.744 * [taylor]: Taking taylor expansion of 1.0 in x 9.744 * [backup-simplify]: Simplify 1.0 into 1.0 9.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.745 * [taylor]: Taking taylor expansion of x in x 9.745 * [backup-simplify]: Simplify 0 into 0 9.745 * [backup-simplify]: Simplify 1 into 1 9.745 * [backup-simplify]: Simplify (/ 1 1) into 1 9.745 * [backup-simplify]: Simplify (- 1) into -1 9.746 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.746 * [backup-simplify]: Simplify (sqrt 0) into 0 9.747 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.748 * [backup-simplify]: Simplify (+ 0 0) into 0 9.748 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.749 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 9.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.753 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.754 * [backup-simplify]: Simplify (- 0) into 0 9.754 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.758 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.758 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.760 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 9.760 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 9.760 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 9.760 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 9.760 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.760 * [taylor]: Taking taylor expansion of -1 in x 9.760 * [backup-simplify]: Simplify -1 into -1 9.760 * [taylor]: Taking taylor expansion of x in x 9.760 * [backup-simplify]: Simplify 0 into 0 9.760 * [backup-simplify]: Simplify 1 into 1 9.761 * [backup-simplify]: Simplify (/ -1 1) into -1 9.761 * [backup-simplify]: Simplify (sqrt 0) into 0 9.762 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.762 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 9.762 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 9.762 * [taylor]: Taking taylor expansion of 1.0 in x 9.762 * [backup-simplify]: Simplify 1.0 into 1.0 9.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.762 * [taylor]: Taking taylor expansion of x in x 9.762 * [backup-simplify]: Simplify 0 into 0 9.762 * [backup-simplify]: Simplify 1 into 1 9.762 * [backup-simplify]: Simplify (/ 1 1) into 1 9.762 * [backup-simplify]: Simplify (- 1) into -1 9.763 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.763 * [backup-simplify]: Simplify (sqrt 0) into 0 9.764 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.764 * [backup-simplify]: Simplify (+ 0 0) into 0 9.764 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.765 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 9.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.767 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.768 * [backup-simplify]: Simplify (- 0) into 0 9.768 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.770 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.770 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.771 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 9.772 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 9.772 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 9.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.776 * [backup-simplify]: Simplify (- 0) into 0 9.776 * [backup-simplify]: Simplify (+ 0 0) into 0 9.779 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.779 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.782 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 9.786 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 9.791 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 9.791 * * * [progress]: simplifying candidates 9.810 * [simplify]: Simplifying: (- (- (log 1.0) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (log (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (* (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ 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[simplify]: iteration 2: 4125 enodes 11.420 * * [simplify]: iteration complete: 5002 enodes 11.421 * * [simplify]: Extracting #0: cost 182 inf + 0 11.426 * * [simplify]: Extracting #1: cost 1139 inf + 85 11.443 * * [simplify]: Extracting #2: cost 1557 inf + 6556 11.456 * * [simplify]: Extracting #3: cost 1795 inf + 12461 11.470 * * [simplify]: Extracting #4: cost 1651 inf + 38095 11.490 * * [simplify]: Extracting #5: cost 1319 inf + 109670 11.600 * * [simplify]: Extracting #6: cost 430 inf + 432972 11.703 * * [simplify]: Extracting #7: cost 91 inf + 570199 11.845 * * [simplify]: Extracting #8: cost 41 inf + 601248 12.037 * * [simplify]: Extracting #9: cost 5 inf + 639173 12.211 * * [simplify]: Extracting #10: cost 0 inf + 645138 12.384 * [simplify]: Simplified to: (log (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (log (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (log (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (exp (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (/ (* 1.0 1.0) (/ (* (* (+ (sqrt x) (sqrt (+ 1.0 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(- (* x (* (sqrt (/ 1 (sqrt 1.0))) +nan.0)) (* (* x x) (- (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) +nan.0) (* (sqrt (/ 1 (* (sqrt 1.0) 1.0))) +nan.0)))))) (+ (- (sqrt +nan.0) (/ (/ +nan.0 (* x x)) (* +nan.0 (sqrt +nan.0)))) (- (/ (/ +nan.0 x) (sqrt +nan.0)) (/ +nan.0 (* (* x x) (sqrt +nan.0))))) (+ (- (sqrt +nan.0) (/ (/ +nan.0 (* x x)) (* +nan.0 (sqrt +nan.0)))) (- (/ (/ +nan.0 x) (sqrt +nan.0)) (/ +nan.0 (* (* x x) (sqrt +nan.0))))) 12.454 * * * [progress]: adding candidates to table 14.088 * [progress]: [Phase 3 of 3] Extracting. 14.089 * * [regime]: Finding splitpoints for: (# # # # # #) 14.090 * * * [regime-changes]: Trying 1 branch expressions: (x) 14.090 * * * * [regimes]: Trying to branch on x from (# # # # # #) 14.151 * * * [regime]: Found split indices: #