32.526 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.057 * [progress]: [Phase 2 of 3] Improving. 0.058 * [simplify]: Simplifying: (- (sqrt (+ x 1.0)) (sqrt x)) 0.058 * * [simplify]: iteration 0: 6 enodes 0.059 * * [simplify]: iteration 1: 9 enodes 0.062 * * [simplify]: iteration 2: 10 enodes 0.064 * * [simplify]: iteration complete: 10 enodes 0.064 * * [simplify]: Extracting #0: cost 1 inf + 0 0.064 * * [simplify]: Extracting #1: cost 4 inf + 0 0.064 * * [simplify]: Extracting #2: cost 6 inf + 0 0.064 * * [simplify]: Extracting #3: cost 6 inf + 1 0.064 * * [simplify]: Extracting #4: cost 0 inf + 21 0.064 * [simplify]: Simplified to: (- (sqrt (+ 1.0 x)) (sqrt x)) 0.073 * * [progress]: iteration 1 / 4 0.073 * * * [progress]: picking best candidate 0.076 * * * * [pick]: Picked # 0.077 * * * [progress]: localizing error 0.086 * * * [progress]: generating rewritten candidates 0.086 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.140 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.150 * * * [progress]: generating series expansions 0.150 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.150 * [backup-simplify]: Simplify (- (sqrt (+ 1.0 x)) (sqrt x)) into (- (sqrt (+ x 1.0)) (sqrt x)) 0.150 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.150 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.150 * [taylor]: Taking taylor expansion of (+ x 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [backup-simplify]: Simplify 1.0 into 1.0 0.151 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.151 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.151 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.152 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (sqrt 0) into 0 0.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.154 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.154 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [backup-simplify]: Simplify 1.0 into 1.0 0.155 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.155 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.156 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.156 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (sqrt 0) into 0 0.157 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.158 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.159 * [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) 0.161 * [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 0.165 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.167 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.167 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.169 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) (- +nan.0)) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 0.174 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 0.180 * [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)))))) 0.180 * [backup-simplify]: Simplify (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) into (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) 0.180 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in (x) around 0 0.180 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in x 0.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [backup-simplify]: Simplify 1.0 into 1.0 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify (sqrt 0) into 0 0.182 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.182 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [backup-simplify]: Simplify (sqrt 0) into 0 0.183 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.183 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in x 0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of 1.0 in x 0.184 * [backup-simplify]: Simplify 1.0 into 1.0 0.184 * [backup-simplify]: Simplify (+ 1 0) into 1 0.184 * [backup-simplify]: Simplify (sqrt 0) into 0 0.185 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.185 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [backup-simplify]: Simplify (sqrt 0) into 0 0.187 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.189 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.189 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.194 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.198 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.199 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.199 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.205 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.206 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.206 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.207 * [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))))) 0.207 * [backup-simplify]: Simplify (- (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) into (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) 0.207 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.207 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.207 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.207 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.207 * [taylor]: Taking taylor expansion of 1.0 in x 0.207 * [backup-simplify]: Simplify 1.0 into 1.0 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify (- 1) into -1 0.208 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.208 * [backup-simplify]: Simplify (sqrt 0) into 0 0.209 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.209 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.209 * [taylor]: Taking taylor expansion of -1 in x 0.209 * [backup-simplify]: Simplify -1 into -1 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (/ -1 1) into -1 0.210 * [backup-simplify]: Simplify (sqrt 0) into 0 0.211 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.211 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.211 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [backup-simplify]: Simplify 1.0 into 1.0 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify (- 1) into -1 0.215 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.216 * [backup-simplify]: Simplify (sqrt 0) into 0 0.216 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.216 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.216 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.217 * [taylor]: Taking taylor expansion of -1 in x 0.217 * [backup-simplify]: Simplify -1 into -1 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (/ -1 1) into -1 0.217 * [backup-simplify]: Simplify (sqrt 0) into 0 0.218 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.219 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.220 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.223 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.225 * [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)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.233 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.234 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.234 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.235 * [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))))) 0.235 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.235 * [backup-simplify]: Simplify (sqrt (+ 1.0 x)) into (sqrt (+ x 1.0)) 0.235 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.235 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.235 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [taylor]: Taking taylor expansion of 1.0 in x 0.235 * [backup-simplify]: Simplify 1.0 into 1.0 0.236 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.236 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.236 * [backup-simplify]: Simplify (+ 1 0) into 1 0.237 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.237 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [backup-simplify]: Simplify 1.0 into 1.0 0.237 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.238 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.238 * [backup-simplify]: Simplify (+ 1 0) into 1 0.239 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.239 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.240 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.245 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.247 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 0.247 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 x))) into (sqrt (+ (/ 1 x) 1.0)) 0.247 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [backup-simplify]: Simplify 1.0 into 1.0 0.248 * [backup-simplify]: Simplify (+ 1 0) into 1 0.248 * [backup-simplify]: Simplify (sqrt 0) into 0 0.249 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [backup-simplify]: Simplify 1.0 into 1.0 0.250 * [backup-simplify]: Simplify (+ 1 0) into 1 0.250 * [backup-simplify]: Simplify (sqrt 0) into 0 0.251 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.254 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.254 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.257 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.257 * [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))))) 0.258 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 (- x)))) into (sqrt (- 1.0 (/ 1 x))) 0.258 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.258 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.258 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.258 * [taylor]: Taking taylor expansion of 1.0 in x 0.258 * [backup-simplify]: Simplify 1.0 into 1.0 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [backup-simplify]: Simplify (- 1) into -1 0.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.259 * [backup-simplify]: Simplify (sqrt 0) into 0 0.260 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.260 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.260 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of 1.0 in x 0.260 * [backup-simplify]: Simplify 1.0 into 1.0 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [backup-simplify]: Simplify (- 1) into -1 0.260 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.261 * [backup-simplify]: Simplify (sqrt 0) into 0 0.262 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.265 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.265 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.268 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.268 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.269 * * * [progress]: simplifying candidates 0.270 * [simplify]: Simplifying: (fma (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ 1.0 x)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ 1.0 x)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ 1.0 x)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ 1.0 x)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ 1.0 x)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ 1.0 x)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ 1.0 x)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ 1.0 x)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ 1.0 x)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ 1.0 x)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ 1.0 x)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ 1.0 x)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma 1 (sqrt (+ 1.0 x)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma 1 (sqrt (+ 1.0 x)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma 1 (sqrt (+ 1.0 x)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ 1.0 x)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma 1 (sqrt (+ 1.0 x)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ 1.0 x)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (expm1 (- (sqrt (+ 1.0 x)) (sqrt x))) (log1p (- (sqrt (+ 1.0 x)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (/ (exp (sqrt (+ 1.0 x))) (exp (sqrt x))) (log (- (sqrt (+ 1.0 x)) (sqrt x))) (exp (- (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (- (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (- (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (- (sqrt (+ 1.0 x)) (sqrt x))) (* (* (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (- (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x)))) (- (sqrt x)) (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt x)) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.272 * * [simplify]: iteration 0: 139 enodes 0.301 * * [simplify]: iteration 1: 323 enodes 0.513 * * [simplify]: iteration 2: 1090 enodes 1.056 * * [simplify]: iteration complete: 5000 enodes 1.056 * * [simplify]: Extracting #0: cost 43 inf + 0 1.058 * * [simplify]: Extracting #1: cost 521 inf + 3 1.067 * * [simplify]: Extracting #2: cost 1548 inf + 82 1.081 * * [simplify]: Extracting #3: cost 1305 inf + 2289 1.096 * * [simplify]: Extracting #4: cost 549 inf + 7420 1.111 * * [simplify]: Extracting #5: cost 107 inf + 11631 1.130 * * [simplify]: Extracting #6: cost 0 inf + 12978 1.144 * [simplify]: Simplified to: (- (pow (cbrt (sqrt (+ 1.0 x))) 3) (sqrt x)) 0 (fma (sqrt (cbrt x)) (- (fabs (cbrt x))) (pow (cbrt (sqrt (+ 1.0 x))) 3)) (* (sqrt (cbrt x)) (+ (fabs (cbrt x)) (- (fabs (cbrt x))))) (- (pow (cbrt (sqrt (+ 1.0 x))) 3) (sqrt x)) 0 (- (pow (cbrt (sqrt (+ 1.0 x))) 3) (sqrt x)) 0 (- (pow (cbrt (sqrt (+ 1.0 x))) 3) (sqrt x)) 0 (- (pow (cbrt (sqrt (+ 1.0 x))) 3) (sqrt x)) 0 (fma (sqrt (cbrt (+ 1.0 x))) (fabs (cbrt (+ 1.0 x))) (- (sqrt x))) 0 (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (sqrt (cbrt x)) (+ (fabs (cbrt x)) (- (fabs (cbrt x))))) (fma (sqrt (cbrt (+ 1.0 x))) (fabs (cbrt (+ 1.0 x))) (- (sqrt x))) 0 (fma (sqrt (cbrt (+ 1.0 x))) (fabs (cbrt (+ 1.0 x))) (- (sqrt x))) 0 (fma (sqrt (cbrt (+ 1.0 x))) (fabs (cbrt (+ 1.0 x))) (- (sqrt x))) 0 (fma (sqrt (cbrt (+ 1.0 x))) (fabs (cbrt (+ 1.0 x))) (- (sqrt x))) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (sqrt (cbrt x)) (+ (fabs (cbrt x)) (- (fabs (cbrt x))))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (sqrt (cbrt x)) (+ (fabs (cbrt x)) (- (fabs (cbrt x))))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (sqrt (cbrt x)) (+ (fabs (cbrt x)) (- (fabs (cbrt x))))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (sqrt (cbrt x)) (+ (fabs (cbrt x)) (- (fabs (cbrt x))))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (sqrt (cbrt x)) (+ (fabs (cbrt x)) (- (fabs (cbrt x))))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (expm1 (- (sqrt (+ 1.0 x)) (sqrt x))) (log1p (- (sqrt (+ 1.0 x)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ 1.0 x)) (sqrt x))) (log (- (sqrt (+ 1.0 x)) (sqrt x))) (exp (- (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (- (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (- (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (- (sqrt (+ 1.0 x)) (sqrt x))) (pow (- (sqrt (+ 1.0 x)) (sqrt x)) 3) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (fma (- (sqrt x)) x (pow (sqrt (+ 1.0 x)) 3)) (fma (sqrt (+ 1.0 x)) (sqrt x) (+ (+ x x) 1.0)) (- (sqrt x)) (+ 1.0 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)) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (fma (- x 1.0) x (* 1.0 1.0))) (sqrt (fma 1.0 1.0 (* x (- x)))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (+ (fma (* (/ x (sqrt 1.0)) (/ x 1.0)) -1/8 (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0))) (* x (- (* +nan.0 x) +nan.0))) (- (/ +nan.0 x) (- +nan.0 (/ (- +nan.0) (* x x)))) (- (/ +nan.0 x) (- +nan.0 (/ (- +nan.0) (* x x)))) (fma (* (/ x (sqrt 1.0)) (/ x 1.0)) -1/8 (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0))) (- (/ +nan.0 x) (- +nan.0 (/ (- +nan.0) (* x x)))) (- (/ +nan.0 x) (- +nan.0 (/ (- +nan.0) (* x x)))) 1.145 * * * [progress]: adding candidates to table 1.374 * * [progress]: iteration 2 / 4 1.374 * * * [progress]: picking best candidate 1.390 * * * * [pick]: Picked # 1.390 * * * [progress]: localizing error 1.404 * * * [progress]: generating rewritten candidates 1.404 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.481 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.509 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 1.526 * * * [progress]: generating series expansions 1.526 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.527 * [backup-simplify]: Simplify (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1.527 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.527 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.527 * [taylor]: Taking taylor expansion of 1.0 in x 1.527 * [backup-simplify]: Simplify 1.0 into 1.0 1.527 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.527 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.527 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.527 * [taylor]: Taking taylor expansion of x in x 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 1 into 1 1.527 * [taylor]: Taking taylor expansion of 1.0 in x 1.527 * [backup-simplify]: Simplify 1.0 into 1.0 1.528 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.528 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.528 * [backup-simplify]: Simplify (+ 1 0) into 1 1.530 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.530 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 1 into 1 1.530 * [backup-simplify]: Simplify (sqrt 0) into 0 1.531 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.532 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.533 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 1.533 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.533 * [taylor]: Taking taylor expansion of 1.0 in x 1.533 * [backup-simplify]: Simplify 1.0 into 1.0 1.533 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.533 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.533 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [taylor]: Taking taylor expansion of 1.0 in x 1.533 * [backup-simplify]: Simplify 1.0 into 1.0 1.534 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.534 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.534 * [backup-simplify]: Simplify (+ 1 0) into 1 1.536 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.536 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.536 * [taylor]: Taking taylor expansion of x in x 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 1 into 1 1.536 * [backup-simplify]: Simplify (sqrt 0) into 0 1.538 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.538 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.539 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 1.540 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 1.542 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 1.550 * [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)))))) 1.556 * [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)))))) 1.557 * [backup-simplify]: Simplify (+ 0 0) into 0 1.560 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.562 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.563 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 1.595 * [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)))))))) 1.619 * [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)))))))) 1.641 * [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)))))))))))) 1.642 * [backup-simplify]: Simplify (/ (+ 1.0 0) (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 1.642 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 1.642 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.642 * [taylor]: Taking taylor expansion of 1.0 in x 1.642 * [backup-simplify]: Simplify 1.0 into 1.0 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 1.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.642 * [taylor]: Taking taylor expansion of x in x 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify 1 into 1 1.642 * [backup-simplify]: Simplify (/ 1 1) into 1 1.642 * [backup-simplify]: Simplify (sqrt 0) into 0 1.643 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.643 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) 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 1.644 * [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 1.644 * [backup-simplify]: Simplify (+ 1 0) into 1 1.644 * [backup-simplify]: Simplify (sqrt 0) into 0 1.645 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.645 * [backup-simplify]: Simplify (+ 0 0) into 0 1.645 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.646 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.646 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.646 * [taylor]: Taking taylor expansion of 1.0 in x 1.646 * [backup-simplify]: Simplify 1.0 into 1.0 1.646 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.646 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.646 * [taylor]: Taking taylor expansion of x in x 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (/ 1 1) into 1 1.647 * [backup-simplify]: Simplify (sqrt 0) into 0 1.647 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.647 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.647 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.647 * [taylor]: Taking taylor expansion of x in x 1.647 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify (/ 1 1) into 1 1.648 * [taylor]: Taking taylor expansion of 1.0 in x 1.648 * [backup-simplify]: Simplify 1.0 into 1.0 1.648 * [backup-simplify]: Simplify (+ 1 0) into 1 1.648 * [backup-simplify]: Simplify (sqrt 0) into 0 1.649 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.649 * [backup-simplify]: Simplify (+ 0 0) into 0 1.650 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.650 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.650 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.656 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.656 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.660 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.661 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (+ 0 0) into 0 1.672 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.673 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.680 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.680 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.681 * [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))))) 1.682 * [backup-simplify]: Simplify (/ (+ 1.0 0) (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 1.682 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.682 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.682 * [taylor]: Taking taylor expansion of 1.0 in x 1.682 * [backup-simplify]: Simplify 1.0 into 1.0 1.682 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.682 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.682 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.682 * [taylor]: Taking taylor expansion of -1 in x 1.682 * [backup-simplify]: Simplify -1 into -1 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.683 * [backup-simplify]: Simplify (/ -1 1) into -1 1.683 * [backup-simplify]: Simplify (sqrt 0) into 0 1.685 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.685 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.685 * [taylor]: Taking taylor expansion of 1.0 in x 1.685 * [backup-simplify]: Simplify 1.0 into 1.0 1.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (/ 1 1) into 1 1.686 * [backup-simplify]: Simplify (- 1) into -1 1.687 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.687 * [backup-simplify]: Simplify (sqrt 0) into 0 1.689 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.689 * [backup-simplify]: Simplify (+ 0 0) into 0 1.690 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.691 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.691 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.691 * [taylor]: Taking taylor expansion of 1.0 in x 1.691 * [backup-simplify]: Simplify 1.0 into 1.0 1.691 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.691 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.691 * [taylor]: Taking taylor expansion of -1 in x 1.691 * [backup-simplify]: Simplify -1 into -1 1.691 * [taylor]: Taking taylor expansion of x in x 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (/ -1 1) into -1 1.692 * [backup-simplify]: Simplify (sqrt 0) into 0 1.693 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.693 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.693 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.693 * [taylor]: Taking taylor expansion of 1.0 in x 1.693 * [backup-simplify]: Simplify 1.0 into 1.0 1.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (/ 1 1) into 1 1.694 * [backup-simplify]: Simplify (- 1) into -1 1.695 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.695 * [backup-simplify]: Simplify (sqrt 0) into 0 1.697 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.697 * [backup-simplify]: Simplify (+ 0 0) into 0 1.697 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.698 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.698 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.702 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.704 * [backup-simplify]: Simplify (- 0) into 0 1.704 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.707 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.708 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.712 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.712 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.717 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (- 0) into 0 1.719 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.723 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.730 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.731 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.732 * [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))))) 1.732 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.732 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 x)) (sqrt x)) into (+ (sqrt (+ x 1.0)) (sqrt x)) 1.732 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 1.732 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.732 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.732 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.732 * [taylor]: Taking taylor expansion of x in x 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 1 into 1 1.732 * [taylor]: Taking taylor expansion of 1.0 in x 1.732 * [backup-simplify]: Simplify 1.0 into 1.0 1.733 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.734 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.734 * [backup-simplify]: Simplify (+ 1 0) into 1 1.736 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.736 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify (sqrt 0) into 0 1.739 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.739 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.739 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.739 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.739 * [taylor]: Taking taylor expansion of x in x 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [taylor]: Taking taylor expansion of 1.0 in x 1.739 * [backup-simplify]: Simplify 1.0 into 1.0 1.739 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.740 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.740 * [backup-simplify]: Simplify (+ 1 0) into 1 1.742 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.742 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.742 * [taylor]: Taking taylor expansion of x in x 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 1 into 1 1.742 * [backup-simplify]: Simplify (sqrt 0) into 0 1.744 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.745 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.745 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.747 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 1.749 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 1.750 * [backup-simplify]: Simplify (+ 0 0) into 0 1.758 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.761 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.764 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 1.770 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 1.779 * [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)))))) 1.779 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) into (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) 1.779 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 1.779 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.779 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.780 * [taylor]: Taking taylor expansion of x in x 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 1 into 1 1.780 * [backup-simplify]: Simplify (/ 1 1) into 1 1.780 * [backup-simplify]: Simplify (sqrt 0) into 0 1.782 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.782 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 1 into 1 1.782 * [backup-simplify]: Simplify (/ 1 1) into 1 1.782 * [taylor]: Taking taylor expansion of 1.0 in x 1.782 * [backup-simplify]: Simplify 1.0 into 1.0 1.783 * [backup-simplify]: Simplify (+ 1 0) into 1 1.783 * [backup-simplify]: Simplify (sqrt 0) into 0 1.784 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.784 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.785 * [taylor]: Taking taylor expansion of x in x 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify (/ 1 1) into 1 1.785 * [backup-simplify]: Simplify (sqrt 0) into 0 1.787 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.787 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.787 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [backup-simplify]: Simplify (/ 1 1) into 1 1.787 * [taylor]: Taking taylor expansion of 1.0 in x 1.787 * [backup-simplify]: Simplify 1.0 into 1.0 1.788 * [backup-simplify]: Simplify (+ 1 0) into 1 1.788 * [backup-simplify]: Simplify (sqrt 0) into 0 1.790 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.790 * [backup-simplify]: Simplify (+ 0 0) into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.791 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.795 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.800 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.800 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.801 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.811 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.812 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.813 * [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))))) 1.814 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) into (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 1.814 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.814 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.814 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.814 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.814 * [taylor]: Taking taylor expansion of -1 in x 1.814 * [backup-simplify]: Simplify -1 into -1 1.814 * [taylor]: Taking taylor expansion of x in x 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [backup-simplify]: Simplify (/ -1 1) into -1 1.815 * [backup-simplify]: Simplify (sqrt 0) into 0 1.816 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.816 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.816 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.816 * [taylor]: Taking taylor expansion of 1.0 in x 1.816 * [backup-simplify]: Simplify 1.0 into 1.0 1.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.816 * [taylor]: Taking taylor expansion of x in x 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (/ 1 1) into 1 1.817 * [backup-simplify]: Simplify (- 1) into -1 1.818 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.818 * [backup-simplify]: Simplify (sqrt 0) into 0 1.819 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.819 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.819 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.819 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.819 * [taylor]: Taking taylor expansion of -1 in x 1.820 * [backup-simplify]: Simplify -1 into -1 1.820 * [taylor]: Taking taylor expansion of x in x 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 1 into 1 1.820 * [backup-simplify]: Simplify (/ -1 1) into -1 1.820 * [backup-simplify]: Simplify (sqrt 0) into 0 1.822 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.822 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.822 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.822 * [taylor]: Taking taylor expansion of 1.0 in x 1.822 * [backup-simplify]: Simplify 1.0 into 1.0 1.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.823 * [backup-simplify]: Simplify (/ 1 1) into 1 1.823 * [backup-simplify]: Simplify (- 1) into -1 1.824 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.824 * [backup-simplify]: Simplify (sqrt 0) into 0 1.825 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.826 * [backup-simplify]: Simplify (+ 0 0) into 0 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.827 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.831 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (- 0) into 0 1.833 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.836 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.836 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.837 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (- 0) into 0 1.843 * [backup-simplify]: Simplify (+ 0 0) into 0 1.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.848 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.848 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.850 * [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))))) 1.850 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 1.850 * [backup-simplify]: Simplify (sqrt (+ 1.0 x)) into (sqrt (+ x 1.0)) 1.850 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.850 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.850 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.850 * [taylor]: Taking taylor expansion of x in x 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [taylor]: Taking taylor expansion of 1.0 in x 1.850 * [backup-simplify]: Simplify 1.0 into 1.0 1.851 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.851 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.852 * [backup-simplify]: Simplify (+ 1 0) into 1 1.853 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.853 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.853 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.853 * [taylor]: Taking taylor expansion of 1.0 in x 1.853 * [backup-simplify]: Simplify 1.0 into 1.0 1.854 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.854 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.855 * [backup-simplify]: Simplify (+ 1 0) into 1 1.857 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.857 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.858 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.859 * [backup-simplify]: Simplify (+ 0 0) into 0 1.864 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.866 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.869 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 1.870 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 x))) into (sqrt (+ (/ 1 x) 1.0)) 1.870 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 1.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.870 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.870 * [taylor]: Taking taylor expansion of x in x 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 1 into 1 1.870 * [backup-simplify]: Simplify (/ 1 1) into 1 1.870 * [taylor]: Taking taylor expansion of 1.0 in x 1.870 * [backup-simplify]: Simplify 1.0 into 1.0 1.871 * [backup-simplify]: Simplify (+ 1 0) into 1 1.871 * [backup-simplify]: Simplify (sqrt 0) into 0 1.873 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.873 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.873 * [taylor]: Taking taylor expansion of x in x 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify (/ 1 1) into 1 1.873 * [taylor]: Taking taylor expansion of 1.0 in x 1.873 * [backup-simplify]: Simplify 1.0 into 1.0 1.874 * [backup-simplify]: Simplify (+ 1 0) into 1 1.874 * [backup-simplify]: Simplify (sqrt 0) into 0 1.875 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.880 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.880 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (+ 0 0) into 0 1.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.886 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.886 * [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))))) 1.886 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 (- x)))) into (sqrt (- 1.0 (/ 1 x))) 1.886 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.886 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.886 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.886 * [taylor]: Taking taylor expansion of 1.0 in x 1.886 * [backup-simplify]: Simplify 1.0 into 1.0 1.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (/ 1 1) into 1 1.887 * [backup-simplify]: Simplify (- 1) into -1 1.888 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.888 * [backup-simplify]: Simplify (sqrt 0) into 0 1.889 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.890 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.890 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.890 * [taylor]: Taking taylor expansion of 1.0 in x 1.890 * [backup-simplify]: Simplify 1.0 into 1.0 1.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [backup-simplify]: Simplify (/ 1 1) into 1 1.891 * [backup-simplify]: Simplify (- 1) into -1 1.891 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.891 * [backup-simplify]: Simplify (sqrt 0) into 0 1.893 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (- 0) into 0 1.895 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.898 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.898 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (- 0) into 0 1.900 * [backup-simplify]: Simplify (+ 0 0) into 0 1.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.904 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.904 * [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))))) 1.904 * * * [progress]: simplifying candidates 1.911 * [simplify]: Simplifying: (expm1 (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- (log (+ 1.0 0)) (log (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (* (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- (+ 1.0 0)) (- (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (+ 1.0 0) 1) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) 1) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt (+ 1.0 0))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3))) (/ (+ 1.0 0) (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x)))) (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (- 1.0 0)) (expm1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (log1p (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (exp (sqrt (+ 1.0 x))) (exp (sqrt x))) (log (+ (sqrt (+ 1.0 x)) (sqrt x))) (exp (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x)))) (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.915 * * [simplify]: iteration 0: 173 enodes 2.004 * * [simplify]: iteration 1: 439 enodes 2.352 * * [simplify]: iteration 2: 2042 enodes 3.396 * * [simplify]: iteration complete: 5000 enodes 3.397 * * [simplify]: Extracting #0: cost 70 inf + 0 3.397 * * [simplify]: Extracting #1: cost 394 inf + 5 3.400 * * [simplify]: Extracting #2: cost 949 inf + 179 3.405 * * [simplify]: Extracting #3: cost 1278 inf + 2238 3.412 * * [simplify]: Extracting #4: cost 522 inf + 8187 3.418 * * [simplify]: Extracting #5: cost 92 inf + 11609 3.424 * * [simplify]: Extracting #6: cost 15 inf + 12068 3.441 * * [simplify]: Extracting #7: cost 0 inf + 12146 3.453 * [simplify]: Simplified to: (expm1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log1p (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (pow 1.0 3) (pow (+ (sqrt (+ 1.0 x)) (sqrt x)) 3)) (* (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 3) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- 1.0) (- (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (cbrt 1.0) (/ (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ 1.0 (fma x (sqrt x) (pow (sqrt (+ 1.0 x)) 3))) (/ 1.0 1.0) (* (* 1.0 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (expm1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (log1p (+ (sqrt (+ 1.0 x)) (sqrt x))) (exp (+ (sqrt (+ 1.0 x)) (sqrt x))) (log (+ (sqrt (+ 1.0 x)) (sqrt x))) (exp (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (pow (+ (sqrt (+ 1.0 x)) (sqrt x)) 3) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (fma x (sqrt x) (pow (sqrt (+ 1.0 x)) 3)) (+ (+ 1.0 x) (fma (sqrt (+ 1.0 x)) (- (sqrt x)) x)) 1.0 (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (fma (- x 1.0) x (* 1.0 1.0))) (sqrt (* (+ 1.0 x) (- 1.0 x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (+ (- (fma 0.375 (/ x (/ (pow (sqrt 1.0) 5) x)) (fma +nan.0 (- (/ x (/ (* 1.0 1.0) x))) (fma +nan.0 (- (/ x 1.0) (/ (* x x) 1.0)) (* +nan.0 (* (/ x (sqrt 1.0)) (/ x 1.0)))))) (* (/ 0.5 1.0) (/ x (sqrt 1.0)))) (/ 1.0 (sqrt 1.0))) (+ (- (/ +nan.0 x) +nan.0) (- (/ +nan.0 (* x x)))) (+ (- (/ +nan.0 x) +nan.0) (- (/ +nan.0 (* x x)))) (+ (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0)) (fma (* (/ x (sqrt 1.0)) (/ x 1.0)) -1/8 (* +nan.0 (- (* x x) x)))) (+ (- (/ +nan.0 x) +nan.0) (- (/ +nan.0 (* x x)))) (+ (- (/ +nan.0 x) +nan.0) (- (/ +nan.0 (* x x)))) (fma -1/8 (* (/ x (sqrt 1.0)) (/ x 1.0)) (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0))) (+ (- (/ +nan.0 x) +nan.0) (- (/ +nan.0 (* x x)))) (+ (- (/ +nan.0 x) +nan.0) (- (/ +nan.0 (* x x)))) 3.454 * * * [progress]: adding candidates to table 3.868 * * [progress]: iteration 3 / 4 3.868 * * * [progress]: picking best candidate 3.903 * * * * [pick]: Picked # 3.903 * * * [progress]: localizing error 3.925 * * * [progress]: generating rewritten candidates 3.925 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 3.951 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 3.960 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1) 3.976 * * * [progress]: generating series expansions 3.976 * * * * [progress]: [ 1 / 3 ] generating series at (2) 3.977 * [backup-simplify]: Simplify (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) into (/ 1.0 (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) 3.977 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) in (x) around 0 3.977 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) in x 3.978 * [taylor]: Taking taylor expansion of 1.0 in x 3.978 * [backup-simplify]: Simplify 1.0 into 1.0 3.978 * [taylor]: Taking taylor expansion of (+ (sqrt x) (fabs (sqrt (+ x 1.0)))) in x 3.978 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.978 * [taylor]: Taking taylor expansion of x in x 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [backup-simplify]: Simplify (sqrt 0) into 0 3.980 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.980 * [taylor]: Taking taylor expansion of (fabs (sqrt (+ x 1.0))) in x 3.980 * [backup-simplify]: Simplify (fabs (sqrt (+ x 1.0))) into (fabs (sqrt (+ x 1.0))) 3.980 * [backup-simplify]: Simplify (+ 0 (fabs (sqrt (+ x 1.0)))) into (fabs (sqrt (+ x 1.0))) 3.980 * [backup-simplify]: Simplify (/ 1.0 (fabs (sqrt (+ x 1.0)))) into (/ 1.0 (fabs (sqrt (+ x 1.0)))) 3.980 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) in x 3.980 * [taylor]: Taking taylor expansion of 1.0 in x 3.980 * [backup-simplify]: Simplify 1.0 into 1.0 3.980 * [taylor]: Taking taylor expansion of (+ (sqrt x) (fabs (sqrt (+ x 1.0)))) in x 3.981 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.981 * [taylor]: Taking taylor expansion of x in x 3.981 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify 1 into 1 3.981 * [backup-simplify]: Simplify (sqrt 0) into 0 3.982 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.982 * [taylor]: Taking taylor expansion of (fabs (sqrt (+ x 1.0))) in x 3.982 * [backup-simplify]: Simplify (fabs (sqrt (+ x 1.0))) into (fabs (sqrt (+ x 1.0))) 3.982 * [backup-simplify]: Simplify (+ 0 (fabs (sqrt (+ x 1.0)))) into (fabs (sqrt (+ x 1.0))) 3.982 * [backup-simplify]: Simplify (/ 1.0 (fabs (sqrt (+ x 1.0)))) into (/ 1.0 (fabs (sqrt (+ x 1.0)))) 3.983 * [backup-simplify]: Simplify (/ 1.0 (fabs (sqrt (+ x 1.0)))) into (/ 1.0 (fabs (sqrt (+ x 1.0)))) 3.983 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.983 * [backup-simplify]: Simplify (- (/ 0 (fabs (sqrt (+ x 1.0)))) (+ (* (/ 1.0 (fabs (sqrt (+ x 1.0)))) (/ (- +nan.0) (fabs (sqrt (+ x 1.0))))))) into (- (* +nan.0 (/ 1 (pow (fabs (sqrt (+ x 1.0))) 2)))) 3.984 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow (fabs (sqrt (+ x 1.0))) 2)))) into (- (* +nan.0 (/ 1 (pow (fabs (sqrt (+ x 1.0))) 2)))) 3.986 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.986 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.987 * [backup-simplify]: Simplify (- (/ 0 (fabs (sqrt (+ x 1.0)))) (+ (* (/ 1.0 (fabs (sqrt (+ x 1.0)))) (/ (- +nan.0) (fabs (sqrt (+ x 1.0))))) (* (- (* +nan.0 (/ 1 (pow (fabs (sqrt (+ x 1.0))) 2)))) (/ (- +nan.0) (fabs (sqrt (+ x 1.0))))))) into (- (+ (* +nan.0 (/ 1 (pow (fabs (sqrt (+ x 1.0))) 2))) (- (* +nan.0 (/ 1 (pow (fabs (sqrt (+ x 1.0))) 3)))))) 3.987 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (fabs (sqrt (+ x 1.0))) 2))) (- (* +nan.0 (/ 1 (pow (fabs (sqrt (+ x 1.0))) 3)))))) into (- (+ (* +nan.0 (/ 1 (pow (fabs (sqrt (+ x 1.0))) 2))) (- (* +nan.0 (/ 1 (pow (fabs (sqrt (+ x 1.0))) 3)))))) 3.988 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (fabs (sqrt (+ x 1.0))) 2))) (- (* +nan.0 (/ 1 (pow (fabs (sqrt (+ x 1.0))) 3)))))) (pow x 2)) (+ (* (- (* +nan.0 (/ 1 (pow (fabs (sqrt (+ x 1.0))) 2)))) x) (/ 1.0 (fabs (sqrt (+ x 1.0)))))) into (- (* 1.0 (/ 1 (fabs (sqrt (+ x 1.0))))) (+ (* +nan.0 (/ x (pow (fabs (sqrt (+ x 1.0))) 2))) (- (+ (* +nan.0 (/ (pow x 2) (pow (fabs (sqrt (+ x 1.0))) 2))) (- (* +nan.0 (/ (pow x 2) (pow (fabs (sqrt (+ x 1.0))) 3)))))))) 3.989 * [backup-simplify]: Simplify (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (fabs (sqrt (+ (/ 1 x) 1.0))))) 3.989 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (fabs (sqrt (+ (/ 1 x) 1.0))))) in (x) around 0 3.989 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (fabs (sqrt (+ (/ 1 x) 1.0))))) in x 3.989 * [taylor]: Taking taylor expansion of 1.0 in x 3.989 * [backup-simplify]: Simplify 1.0 into 1.0 3.989 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (fabs (sqrt (+ (/ 1 x) 1.0)))) in x 3.989 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.989 * [taylor]: Taking taylor expansion of x in x 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 1 into 1 3.989 * [backup-simplify]: Simplify (/ 1 1) into 1 3.990 * [backup-simplify]: Simplify (sqrt 0) into 0 3.990 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.990 * [taylor]: Taking taylor expansion of (fabs (sqrt (+ (/ 1 x) 1.0))) in x 3.991 * [backup-simplify]: Simplify (fabs (sqrt (+ (/ 1 x) 1.0))) into (fabs (sqrt (+ (/ 1 x) 1.0))) 3.991 * [backup-simplify]: Simplify (+ 0 0) into 0 3.991 * [backup-simplify]: Simplify (+ +nan.0 (fabs (sqrt (+ (/ 1 x) 1.0)))) into (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0) 3.991 * [backup-simplify]: Simplify (/ 1.0 (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0)) into (/ 1.0 (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0)) 3.991 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (fabs (sqrt (+ (/ 1 x) 1.0))))) in x 3.991 * [taylor]: Taking taylor expansion of 1.0 in x 3.991 * [backup-simplify]: Simplify 1.0 into 1.0 3.991 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (fabs (sqrt (+ (/ 1 x) 1.0)))) in x 3.991 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.991 * [taylor]: Taking taylor expansion of x in x 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 1 into 1 3.991 * [backup-simplify]: Simplify (/ 1 1) into 1 3.992 * [backup-simplify]: Simplify (sqrt 0) into 0 3.992 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.993 * [taylor]: Taking taylor expansion of (fabs (sqrt (+ (/ 1 x) 1.0))) in x 3.993 * [backup-simplify]: Simplify (fabs (sqrt (+ (/ 1 x) 1.0))) into (fabs (sqrt (+ (/ 1 x) 1.0))) 3.993 * [backup-simplify]: Simplify (+ 0 0) into 0 3.993 * [backup-simplify]: Simplify (+ +nan.0 (fabs (sqrt (+ (/ 1 x) 1.0)))) into (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0) 3.993 * [backup-simplify]: Simplify (/ 1.0 (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0)) into (/ 1.0 (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0)) 3.993 * [backup-simplify]: Simplify (/ 1.0 (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0)) into (/ 1.0 (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0)) 3.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.996 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.996 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.997 * [backup-simplify]: Simplify (- (/ 0 (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0)) (+ (* (/ 1.0 (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0)) (/ (- +nan.0) (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0))))) into (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0) 2)))) 3.997 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0) 2)))) into (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0) 2)))) 3.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.000 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 4.002 * [backup-simplify]: Simplify (- (/ 0 (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0)) (+ (* (/ 1.0 (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0)) (/ (- +nan.0) (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0))) (* (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0) 2)))) (/ (- +nan.0) (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0) 2))) (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0) 3)))))) 4.002 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0) 2))) (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (pow (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0) 2)))))) 4.003 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (- (fabs (sqrt (+ (/ 1 (/ 1 x)) 1.0))) +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (+ (/ 1 (/ 1 x)) 1.0))) +nan.0) 2)))))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (+ (/ 1 (/ 1 x)) 1.0))) +nan.0) 2)))) (/ 1 x)) (/ 1.0 (- (fabs (sqrt (+ (/ 1 (/ 1 x)) 1.0))) +nan.0)))) into (- (* 1.0 (/ 1 (- (fabs (sqrt (+ x 1.0))) +nan.0))) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 2)))) (- (* +nan.0 (/ 1 (* x (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 2))))))))) 4.004 * [backup-simplify]: Simplify (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 (/ 1 (- x))))) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) 4.004 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in (x) around 0 4.004 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 4.004 * [taylor]: Taking taylor expansion of 1.0 in x 4.004 * [backup-simplify]: Simplify 1.0 into 1.0 4.004 * [taylor]: Taking taylor expansion of (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 4.004 * [taylor]: Taking taylor expansion of (fabs (sqrt (- 1.0 (/ 1 x)))) in x 4.004 * [backup-simplify]: Simplify (fabs (sqrt (- 1.0 (/ 1 x)))) into (fabs (sqrt (- 1.0 (/ 1 x)))) 4.004 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.004 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.004 * [taylor]: Taking taylor expansion of -1 in x 4.004 * [backup-simplify]: Simplify -1 into -1 4.004 * [taylor]: Taking taylor expansion of x in x 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 1 into 1 4.004 * [backup-simplify]: Simplify (/ -1 1) into -1 4.005 * [backup-simplify]: Simplify (sqrt 0) into 0 4.005 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.006 * [backup-simplify]: Simplify (+ 0 0) into 0 4.006 * [backup-simplify]: Simplify (+ (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) into (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) 4.006 * [backup-simplify]: Simplify (/ 1.0 (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0)) into (/ 1.0 (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0)) 4.006 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 4.006 * [taylor]: Taking taylor expansion of 1.0 in x 4.006 * [backup-simplify]: Simplify 1.0 into 1.0 4.006 * [taylor]: Taking taylor expansion of (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 4.006 * [taylor]: Taking taylor expansion of (fabs (sqrt (- 1.0 (/ 1 x)))) in x 4.006 * [backup-simplify]: Simplify (fabs (sqrt (- 1.0 (/ 1 x)))) into (fabs (sqrt (- 1.0 (/ 1 x)))) 4.006 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.006 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.006 * [taylor]: Taking taylor expansion of -1 in x 4.006 * [backup-simplify]: Simplify -1 into -1 4.006 * [taylor]: Taking taylor expansion of x in x 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [backup-simplify]: Simplify (/ -1 1) into -1 4.007 * [backup-simplify]: Simplify (sqrt 0) into 0 4.007 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.008 * [backup-simplify]: Simplify (+ 0 0) into 0 4.008 * [backup-simplify]: Simplify (+ (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) into (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) 4.008 * [backup-simplify]: Simplify (/ 1.0 (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0)) into (/ 1.0 (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0)) 4.008 * [backup-simplify]: Simplify (/ 1.0 (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0)) into (/ 1.0 (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0)) 4.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.010 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.011 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0) 4.011 * [backup-simplify]: Simplify (- (/ 0 (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0)) (+ (* (/ 1.0 (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0)) (/ (- +nan.0) (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0))))) into (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) 2)))) 4.012 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) 2)))) into (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) 2)))) 4.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.015 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0) 4.017 * [backup-simplify]: Simplify (- (/ 0 (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0)) (+ (* (/ 1.0 (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0)) (/ (- +nan.0) (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0))) (* (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) 2)))) (/ (- +nan.0) (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) 2))) (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) 3)))))) 4.018 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) 2))) (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (pow (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) 2))) (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) 3)))))) 4.020 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (- (fabs (sqrt (- 1.0 (/ 1 (/ 1 (- x)))))) +nan.0) 2))) (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (- 1.0 (/ 1 (/ 1 (- x)))))) +nan.0) 3)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (/ 1 (pow (- (fabs (sqrt (- 1.0 (/ 1 (/ 1 (- x)))))) +nan.0) 2)))) (/ 1 (- x))) (/ 1.0 (- (fabs (sqrt (- 1.0 (/ 1 (/ 1 (- x)))))) +nan.0)))) into (- (* 1.0 (/ 1 (- (fabs (sqrt (+ x 1.0))) +nan.0))) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 2)))) (- (* +nan.0 (/ 1 (* x (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 2))))))))) 4.020 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 4.021 * [backup-simplify]: Simplify (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)) into (+ (sqrt x) (fabs (sqrt (+ x 1.0)))) 4.021 * [approximate]: Taking taylor expansion of (+ (sqrt x) (fabs (sqrt (+ x 1.0)))) in (x) around 0 4.021 * [taylor]: Taking taylor expansion of (+ (sqrt x) (fabs (sqrt (+ x 1.0)))) in x 4.021 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.021 * [taylor]: Taking taylor expansion of x in x 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 1 into 1 4.021 * [backup-simplify]: Simplify (sqrt 0) into 0 4.023 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.023 * [taylor]: Taking taylor expansion of (fabs (sqrt (+ x 1.0))) in x 4.023 * [backup-simplify]: Simplify (fabs (sqrt (+ x 1.0))) into (fabs (sqrt (+ x 1.0))) 4.023 * [taylor]: Taking taylor expansion of (+ (sqrt x) (fabs (sqrt (+ x 1.0)))) in x 4.023 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.023 * [taylor]: Taking taylor expansion of x in x 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 1 into 1 4.023 * [backup-simplify]: Simplify (sqrt 0) into 0 4.025 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.025 * [taylor]: Taking taylor expansion of (fabs (sqrt (+ x 1.0))) in x 4.025 * [backup-simplify]: Simplify (fabs (sqrt (+ x 1.0))) into (fabs (sqrt (+ x 1.0))) 4.025 * [backup-simplify]: Simplify (+ 0 (fabs (sqrt (+ x 1.0)))) into (fabs (sqrt (+ x 1.0))) 4.025 * [backup-simplify]: Simplify (fabs (sqrt (+ x 1.0))) into (fabs (sqrt (+ x 1.0))) 4.025 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 4.029 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.032 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.033 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 4.033 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.034 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) (fabs (sqrt (+ x 1.0))))) into (- (fabs (sqrt (+ x 1.0))) (+ (* +nan.0 x) (- (* +nan.0 (pow x 2))))) 4.035 * [backup-simplify]: Simplify (+ (fabs (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) into (+ (sqrt (/ 1 x)) (fabs (sqrt (+ (/ 1 x) 1.0)))) 4.035 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (fabs (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 4.035 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (fabs (sqrt (+ (/ 1 x) 1.0)))) in x 4.035 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) 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 4.035 * [backup-simplify]: Simplify (/ 1 1) into 1 4.036 * [backup-simplify]: Simplify (sqrt 0) into 0 4.037 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.037 * [taylor]: Taking taylor expansion of (fabs (sqrt (+ (/ 1 x) 1.0))) in x 4.037 * [backup-simplify]: Simplify (fabs (sqrt (+ (/ 1 x) 1.0))) into (fabs (sqrt (+ (/ 1 x) 1.0))) 4.037 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (fabs (sqrt (+ (/ 1 x) 1.0)))) in x 4.037 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.037 * [taylor]: Taking taylor expansion of x in x 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 1 into 1 4.038 * [backup-simplify]: Simplify (/ 1 1) into 1 4.038 * [backup-simplify]: Simplify (sqrt 0) into 0 4.039 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.039 * [taylor]: Taking taylor expansion of (fabs (sqrt (+ (/ 1 x) 1.0))) in x 4.040 * [backup-simplify]: Simplify (fabs (sqrt (+ (/ 1 x) 1.0))) into (fabs (sqrt (+ (/ 1 x) 1.0))) 4.040 * [backup-simplify]: Simplify (+ 0 0) into 0 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify (+ +nan.0 (fabs (sqrt (+ (/ 1 x) 1.0)))) into (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0) 4.040 * [backup-simplify]: Simplify (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0) into (- (fabs (sqrt (+ (/ 1 x) 1.0))) +nan.0) 4.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.044 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.045 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 4.045 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.051 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 4.051 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.052 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- (fabs (sqrt (+ (/ 1 (/ 1 x)) 1.0))) +nan.0))) into (- (fabs (sqrt (+ x 1.0))) (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 4.053 * [backup-simplify]: Simplify (+ (fabs (sqrt (+ 1.0 (/ 1 (- x))))) (sqrt (/ 1 (- x)))) into (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) 4.053 * [approximate]: Taking taylor expansion of (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 4.053 * [taylor]: Taking taylor expansion of (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 4.053 * [taylor]: Taking taylor expansion of (fabs (sqrt (- 1.0 (/ 1 x)))) in x 4.053 * [backup-simplify]: Simplify (fabs (sqrt (- 1.0 (/ 1 x)))) into (fabs (sqrt (- 1.0 (/ 1 x)))) 4.053 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.053 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.053 * [taylor]: Taking taylor expansion of -1 in x 4.053 * [backup-simplify]: Simplify -1 into -1 4.053 * [taylor]: Taking taylor expansion of x in x 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 1 into 1 4.054 * [backup-simplify]: Simplify (/ -1 1) into -1 4.054 * [backup-simplify]: Simplify (sqrt 0) into 0 4.055 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.056 * [taylor]: Taking taylor expansion of (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 4.056 * [taylor]: Taking taylor expansion of (fabs (sqrt (- 1.0 (/ 1 x)))) in x 4.056 * [backup-simplify]: Simplify (fabs (sqrt (- 1.0 (/ 1 x)))) into (fabs (sqrt (- 1.0 (/ 1 x)))) 4.056 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.056 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.056 * [taylor]: Taking taylor expansion of -1 in x 4.056 * [backup-simplify]: Simplify -1 into -1 4.056 * [taylor]: Taking taylor expansion of x in x 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 1 into 1 4.056 * [backup-simplify]: Simplify (/ -1 1) into -1 4.057 * [backup-simplify]: Simplify (sqrt 0) into 0 4.058 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.058 * [backup-simplify]: Simplify (+ 0 0) into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify (+ (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) into (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) 4.059 * [backup-simplify]: Simplify (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) into (- (fabs (sqrt (- 1.0 (/ 1 x)))) +nan.0) 4.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.063 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.063 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0) 4.064 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.069 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0) 4.070 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.071 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- (fabs (sqrt (- 1.0 (/ 1 (/ 1 (- x)))))) +nan.0))) into (- (fabs (sqrt (+ x 1.0))) (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 4.071 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1) 4.071 * [backup-simplify]: Simplify (sqrt (+ 1.0 x)) into (sqrt (+ x 1.0)) 4.071 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 4.071 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.071 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.071 * [taylor]: Taking taylor expansion of x in x 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify 1 into 1 4.071 * [taylor]: Taking taylor expansion of 1.0 in x 4.071 * [backup-simplify]: Simplify 1.0 into 1.0 4.072 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.072 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.073 * [backup-simplify]: Simplify (+ 1 0) into 1 4.074 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.074 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.074 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.075 * [taylor]: Taking taylor expansion of x in x 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.075 * [taylor]: Taking taylor expansion of 1.0 in x 4.075 * [backup-simplify]: Simplify 1.0 into 1.0 4.075 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.075 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.076 * [backup-simplify]: Simplify (+ 1 0) into 1 4.078 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.078 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.079 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 4.079 * [backup-simplify]: Simplify (+ 0 0) into 0 4.085 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.086 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.090 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 4.090 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 x))) into (sqrt (+ (/ 1 x) 1.0)) 4.090 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 4.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 4.090 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 4.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.090 * [taylor]: Taking taylor expansion of x in x 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.091 * [backup-simplify]: Simplify (/ 1 1) into 1 4.091 * [taylor]: Taking taylor expansion of 1.0 in x 4.091 * [backup-simplify]: Simplify 1.0 into 1.0 4.091 * [backup-simplify]: Simplify (+ 1 0) into 1 4.092 * [backup-simplify]: Simplify (sqrt 0) into 0 4.093 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 4.093 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 4.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.093 * [taylor]: Taking taylor expansion of x in x 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 1 into 1 4.094 * [backup-simplify]: Simplify (/ 1 1) into 1 4.094 * [taylor]: Taking taylor expansion of 1.0 in x 4.094 * [backup-simplify]: Simplify 1.0 into 1.0 4.094 * [backup-simplify]: Simplify (+ 1 0) into 1 4.095 * [backup-simplify]: Simplify (sqrt 0) into 0 4.096 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (+ 0 1.0) 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 into +nan.0 4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (+ 0 0) into 0 4.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.107 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.107 * [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))))) 4.107 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 (- x)))) into (sqrt (- 1.0 (/ 1 x))) 4.107 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 4.107 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.107 * [taylor]: Taking taylor expansion of 1.0 in x 4.107 * [backup-simplify]: Simplify 1.0 into 1.0 4.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.107 * [taylor]: Taking taylor expansion of x in x 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.108 * [backup-simplify]: Simplify (/ 1 1) into 1 4.108 * [backup-simplify]: Simplify (- 1) into -1 4.109 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.109 * [backup-simplify]: Simplify (sqrt 0) into 0 4.111 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.111 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.111 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.111 * [taylor]: Taking taylor expansion of 1.0 in x 4.111 * [backup-simplify]: Simplify 1.0 into 1.0 4.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.111 * [taylor]: Taking taylor expansion of x in x 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (/ 1 1) into 1 4.112 * [backup-simplify]: Simplify (- 1) into -1 4.112 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.112 * [backup-simplify]: Simplify (sqrt 0) into 0 4.114 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.115 * [backup-simplify]: Simplify (- 0) into 0 4.115 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.119 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.119 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.120 * [backup-simplify]: Simplify (- 0) into 0 4.121 * [backup-simplify]: Simplify (+ 0 0) into 0 4.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.125 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.125 * [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))))) 4.126 * * * [progress]: simplifying candidates 4.128 * [simplify]: Simplifying: (expm1 (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (- (log (+ 1.0 0)) (log (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (log (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (* (* (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (- (+ 1.0 0)) (- (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (/ 1 (* (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (/ 1 (sqrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (/ 1 (* (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (/ 1 (sqrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (/ 1 (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (/ (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (/ (+ 1.0 0) 1) (/ (+ 1.0 0) 1) (/ (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)) (sqrt (+ 1.0 0))) (/ (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)) (+ 1.0 0)) (/ (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (fabs (sqrt (+ 1.0 x))) 3) (pow (sqrt x) 3))) (/ (+ 1.0 0) (- (* (fabs (sqrt (+ 1.0 x))) (fabs (sqrt (+ 1.0 x)))) (* (sqrt x) (sqrt x)))) (* (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)) (- 1.0 0)) (expm1 (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (log1p (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (* (exp (fabs (sqrt (+ 1.0 x)))) (exp (sqrt x))) (log (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (exp (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (* (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (cbrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (* (* (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (sqrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (sqrt (+ (fabs (sqrt (+ 1.0 x))) (sqrt x))) (+ (pow (fabs (sqrt (+ 1.0 x))) 3) (pow (sqrt x) 3)) (+ (* (fabs (sqrt (+ 1.0 x))) (fabs (sqrt (+ 1.0 x)))) (- (* (sqrt x) (sqrt x)) (* (fabs (sqrt (+ 1.0 x))) (sqrt x)))) (- (* (fabs (sqrt (+ 1.0 x))) (fabs (sqrt (+ 1.0 x)))) (* (sqrt x) (sqrt x))) (- (fabs (sqrt (+ 1.0 x))) (sqrt x)) (+ (fabs (sqrt (+ 1.0 x))) (sqrt x)) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (* 1.0 (/ 1 (fabs (sqrt (+ x 1.0))))) (+ (* +nan.0 (/ x (pow (fabs (sqrt (+ x 1.0))) 2))) (- (+ (* +nan.0 (/ (pow x 2) (pow (fabs (sqrt (+ x 1.0))) 2))) (- (* +nan.0 (/ (pow x 2) (pow (fabs (sqrt (+ x 1.0))) 3)))))))) (- (* 1.0 (/ 1 (- (fabs (sqrt (+ x 1.0))) +nan.0))) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 2)))) (- (* +nan.0 (/ 1 (* x (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 2))))))))) (- (* 1.0 (/ 1 (- (fabs (sqrt (+ x 1.0))) +nan.0))) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 2)))) (- (* +nan.0 (/ 1 (* x (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 2))))))))) (- (fabs (sqrt (+ x 1.0))) (+ (* +nan.0 x) (- (* +nan.0 (pow x 2))))) (- (fabs (sqrt (+ x 1.0))) (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (fabs (sqrt (+ x 1.0))) (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 4.131 * * [simplify]: iteration 0: 178 enodes 4.191 * * [simplify]: iteration 1: 453 enodes 4.522 * * [simplify]: iteration 2: 2197 enodes 5.418 * * [simplify]: iteration complete: 5004 enodes 5.418 * * [simplify]: Extracting #0: cost 73 inf + 0 5.419 * * [simplify]: Extracting #1: cost 386 inf + 3 5.422 * * [simplify]: Extracting #2: cost 1216 inf + 49 5.427 * * [simplify]: Extracting #3: cost 1572 inf + 1175 5.434 * * [simplify]: Extracting #4: cost 1169 inf + 5290 5.443 * * [simplify]: Extracting #5: cost 916 inf + 8101 5.455 * * [simplify]: Extracting #6: cost 363 inf + 13524 5.468 * * [simplify]: Extracting #7: cost 29 inf + 17434 5.480 * * [simplify]: Extracting #8: cost 0 inf + 18044 5.486 * * [simplify]: Extracting #9: cost 0 inf + 18038 5.493 * [simplify]: Simplified to: (expm1 (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (log1p (/ 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))))) (/ (pow 1.0 3) (pow (+ (sqrt x) (sqrt (+ 1.0 x))) 3)) (* (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))))) (pow (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x)))) 3) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))) (- 1.0) (- (- (sqrt (+ 1.0 x))) (sqrt x)) (/ (* (cbrt 1.0) (/ (cbrt 1.0) (cbrt (+ (sqrt x) (sqrt (+ 1.0 x)))))) (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)))) (/ (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)))) (/ 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 (* (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 (+ (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 (/ (+ (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) (/ (+ (sqrt x) (sqrt (+ 1.0 x))) 1.0) (/ 1.0 (fma (sqrt x) x (pow (sqrt (+ 1.0 x)) 3))) (/ 1.0 (- (+ 1.0 x) x)) (* (* 1.0 1.0) (+ (sqrt x) (sqrt (+ 1.0 x)))) (* (+ (sqrt x) (sqrt (+ 1.0 x))) 1.0) (expm1 (+ (sqrt x) (sqrt (+ 1.0 x)))) (log1p (+ (sqrt x) (sqrt (+ 1.0 x)))) (exp (+ (sqrt (+ 1.0 x)) (sqrt x))) (log (+ (sqrt x) (sqrt (+ 1.0 x)))) (exp (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (+ (sqrt x) (sqrt (+ 1.0 x)))) (cbrt (+ (sqrt x) (sqrt (+ 1.0 x))))) (cbrt (+ (sqrt x) (sqrt (+ 1.0 x)))) (pow (+ (sqrt x) (sqrt (+ 1.0 x))) 3) (sqrt (+ (sqrt x) (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt x) (sqrt (+ 1.0 x)))) (fma (sqrt x) x (pow (sqrt (+ 1.0 x)) 3)) (+ (fma (sqrt x) (- (sqrt (+ 1.0 x))) x) (+ 1.0 x)) (- (+ 1.0 x) x) (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt x) (sqrt (+ 1.0 x))) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (fma x (- x 1.0) (* 1.0 1.0))) (sqrt (fma x (- x) (* 1.0 1.0))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (+ (- (/ 1.0 (fabs (sqrt (+ 1.0 x)))) (/ (* +nan.0 x) (pow (fabs (sqrt (+ 1.0 x))) 2))) (* +nan.0 (- (/ x (/ (pow (fabs (sqrt (+ 1.0 x))) 2) x)) (/ (* x x) (pow (fabs (sqrt (+ 1.0 x))) 3))))) (- (/ 1.0 (- (fabs (sqrt (+ 1.0 x))) +nan.0)) (- (/ +nan.0 (* (* (pow (- (fabs (sqrt (+ 1.0 x))) +nan.0) 3) x) x)) (- (/ (/ +nan.0 (* x x)) (pow (- (fabs (sqrt (+ 1.0 x))) +nan.0) 2)) (/ (/ +nan.0 (pow (- (fabs (sqrt (+ 1.0 x))) +nan.0) 2)) x)))) (- (/ 1.0 (- (fabs (sqrt (+ 1.0 x))) +nan.0)) (- (/ +nan.0 (* (* (pow (- (fabs (sqrt (+ 1.0 x))) +nan.0) 3) x) x)) (- (/ (/ +nan.0 (* x x)) (pow (- (fabs (sqrt (+ 1.0 x))) +nan.0) 2)) (/ (/ +nan.0 (pow (- (fabs (sqrt (+ 1.0 x))) +nan.0) 2)) x)))) (- (fabs (sqrt (+ 1.0 x))) (* +nan.0 (fma (- x) x x))) (- (fabs (sqrt (+ 1.0 x))) (- (/ (/ +nan.0 x) x) (- (/ +nan.0 x) +nan.0))) (- (fabs (sqrt (+ 1.0 x))) (- (/ (/ +nan.0 x) x) (- (/ +nan.0 x) +nan.0))) (fma -1/8 (* (/ x 1.0) (/ x (sqrt 1.0))) (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (+ (/ (- +nan.0) (* x x)) (- (/ +nan.0 x) +nan.0)) (+ (/ (- +nan.0) (* x x)) (- (/ +nan.0 x) +nan.0)) 5.494 * * * [progress]: adding candidates to table 5.840 * * [progress]: iteration 4 / 4 5.840 * * * [progress]: picking best candidate 5.870 * * * * [pick]: Picked # 5.870 * * * [progress]: localizing error 5.919 * * * [progress]: generating rewritten candidates 5.919 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 6.082 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.151 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 6.196 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 6.309 * * * [progress]: generating series expansions 6.309 * * * * [progress]: [ 1 / 4 ] generating series at (2) 6.310 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 6.310 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 6.310 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 6.310 * [taylor]: Taking taylor expansion of 1.0 in x 6.310 * [backup-simplify]: Simplify 1.0 into 1.0 6.310 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.310 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.311 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.311 * [taylor]: Taking taylor expansion of x in x 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 1 into 1 6.311 * [taylor]: Taking taylor expansion of 1.0 in x 6.311 * [backup-simplify]: Simplify 1.0 into 1.0 6.311 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.311 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.312 * [backup-simplify]: Simplify (+ 1 0) into 1 6.313 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.313 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.313 * [taylor]: Taking taylor expansion of x in x 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 1 into 1 6.313 * [backup-simplify]: Simplify (sqrt 0) into 0 6.314 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.314 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 6.315 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 6.315 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 6.315 * [taylor]: Taking taylor expansion of 1.0 in x 6.315 * [backup-simplify]: Simplify 1.0 into 1.0 6.315 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.315 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.315 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.315 * [taylor]: Taking taylor expansion of x in x 6.315 * [backup-simplify]: Simplify 0 into 0 6.315 * [backup-simplify]: Simplify 1 into 1 6.315 * [taylor]: Taking taylor expansion of 1.0 in x 6.315 * [backup-simplify]: Simplify 1.0 into 1.0 6.315 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.316 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.316 * [backup-simplify]: Simplify (+ 1 0) into 1 6.317 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.317 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.317 * [taylor]: Taking taylor expansion of x in x 6.317 * [backup-simplify]: Simplify 0 into 0 6.317 * [backup-simplify]: Simplify 1 into 1 6.317 * [backup-simplify]: Simplify (sqrt 0) into 0 6.318 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.319 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 6.319 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 6.320 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 6.321 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 6.326 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 6.332 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 6.333 * [backup-simplify]: Simplify (+ 0 0) into 0 6.336 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.338 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.339 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 6.375 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 6.390 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 6.419 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow x 2)) (+ (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))))))))))) 6.419 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))))) (sqrt (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 6.419 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 6.420 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 6.420 * [taylor]: Taking taylor expansion of 1.0 in x 6.420 * [backup-simplify]: Simplify 1.0 into 1.0 6.420 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 6.420 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.420 * [taylor]: Taking taylor expansion of x in x 6.420 * [backup-simplify]: Simplify 0 into 0 6.420 * [backup-simplify]: Simplify 1 into 1 6.420 * [backup-simplify]: Simplify (/ 1 1) into 1 6.421 * [backup-simplify]: Simplify (sqrt 0) into 0 6.422 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.422 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.422 * [taylor]: Taking taylor expansion of x in x 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify 1 into 1 6.423 * [backup-simplify]: Simplify (/ 1 1) into 1 6.423 * [taylor]: Taking taylor expansion of 1.0 in x 6.423 * [backup-simplify]: Simplify 1.0 into 1.0 6.423 * [backup-simplify]: Simplify (+ 1 0) into 1 6.424 * [backup-simplify]: Simplify (sqrt 0) into 0 6.425 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.425 * [backup-simplify]: Simplify (+ 0 0) into 0 6.426 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.427 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 6.427 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 6.427 * [taylor]: Taking taylor expansion of 1.0 in x 6.427 * [backup-simplify]: Simplify 1.0 into 1.0 6.427 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 6.427 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.427 * [taylor]: Taking taylor expansion of x in x 6.427 * [backup-simplify]: Simplify 0 into 0 6.427 * [backup-simplify]: Simplify 1 into 1 6.428 * [backup-simplify]: Simplify (/ 1 1) into 1 6.428 * [backup-simplify]: Simplify (sqrt 0) into 0 6.429 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.429 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.429 * [taylor]: Taking taylor expansion of x in x 6.429 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify 1 into 1 6.430 * [backup-simplify]: Simplify (/ 1 1) into 1 6.430 * [taylor]: Taking taylor expansion of 1.0 in x 6.430 * [backup-simplify]: Simplify 1.0 into 1.0 6.430 * [backup-simplify]: Simplify (+ 1 0) into 1 6.431 * [backup-simplify]: Simplify (sqrt 0) into 0 6.432 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.433 * [backup-simplify]: Simplify (+ 0 0) into 0 6.433 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.434 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 6.434 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.438 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.439 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.441 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.441 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.443 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.443 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.447 * [backup-simplify]: Simplify (+ 0 0) into 0 6.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.450 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.453 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.453 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.454 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 6.454 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x)))))) (sqrt (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x)))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 6.454 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 6.454 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 6.455 * [taylor]: Taking taylor expansion of 1.0 in x 6.455 * [backup-simplify]: Simplify 1.0 into 1.0 6.455 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 6.455 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.455 * [taylor]: Taking taylor expansion of -1 in x 6.455 * [backup-simplify]: Simplify -1 into -1 6.455 * [taylor]: Taking taylor expansion of x in x 6.455 * [backup-simplify]: Simplify 0 into 0 6.455 * [backup-simplify]: Simplify 1 into 1 6.455 * [backup-simplify]: Simplify (/ -1 1) into -1 6.455 * [backup-simplify]: Simplify (sqrt 0) into 0 6.456 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.456 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.456 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.456 * [taylor]: Taking taylor expansion of 1.0 in x 6.456 * [backup-simplify]: Simplify 1.0 into 1.0 6.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.456 * [taylor]: Taking taylor expansion of x in x 6.456 * [backup-simplify]: Simplify 0 into 0 6.456 * [backup-simplify]: Simplify 1 into 1 6.456 * [backup-simplify]: Simplify (/ 1 1) into 1 6.457 * [backup-simplify]: Simplify (- 1) into -1 6.457 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.457 * [backup-simplify]: Simplify (sqrt 0) into 0 6.458 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.458 * [backup-simplify]: Simplify (+ 0 0) into 0 6.458 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.459 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 6.459 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 6.459 * [taylor]: Taking taylor expansion of 1.0 in x 6.459 * [backup-simplify]: Simplify 1.0 into 1.0 6.459 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 6.459 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.459 * [taylor]: Taking taylor expansion of -1 in x 6.459 * [backup-simplify]: Simplify -1 into -1 6.459 * [taylor]: Taking taylor expansion of x in x 6.459 * [backup-simplify]: Simplify 0 into 0 6.459 * [backup-simplify]: Simplify 1 into 1 6.459 * [backup-simplify]: Simplify (/ -1 1) into -1 6.460 * [backup-simplify]: Simplify (sqrt 0) into 0 6.460 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.460 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.461 * [taylor]: Taking taylor expansion of 1.0 in x 6.461 * [backup-simplify]: Simplify 1.0 into 1.0 6.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.461 * [taylor]: Taking taylor expansion of x in x 6.461 * [backup-simplify]: Simplify 0 into 0 6.461 * [backup-simplify]: Simplify 1 into 1 6.461 * [backup-simplify]: Simplify (/ 1 1) into 1 6.461 * [backup-simplify]: Simplify (- 1) into -1 6.461 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.462 * [backup-simplify]: Simplify (sqrt 0) into 0 6.462 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.463 * [backup-simplify]: Simplify (+ 0 0) into 0 6.463 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.463 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 6.464 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.466 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.467 * [backup-simplify]: Simplify (- 0) into 0 6.467 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.469 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.469 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.471 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.471 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.475 * [backup-simplify]: Simplify (- 0) into 0 6.476 * [backup-simplify]: Simplify (+ 0 0) into 0 6.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.478 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.482 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.482 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.483 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 6.483 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.483 * [backup-simplify]: Simplify (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) into (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) 6.483 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 6.483 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 6.483 * [taylor]: Taking taylor expansion of 1.0 in x 6.483 * [backup-simplify]: Simplify 1.0 into 1.0 6.483 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 6.484 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 6.484 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.484 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.484 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.484 * [taylor]: Taking taylor expansion of x in x 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 1 into 1 6.484 * [taylor]: Taking taylor expansion of 1.0 in x 6.484 * [backup-simplify]: Simplify 1.0 into 1.0 6.484 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.484 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.484 * [backup-simplify]: Simplify (+ 1 0) into 1 6.485 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.485 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.485 * [taylor]: Taking taylor expansion of x in x 6.485 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify 1 into 1 6.486 * [backup-simplify]: Simplify (sqrt 0) into 0 6.487 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.488 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 6.489 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 6.490 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 6.492 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 6.501 * [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)))))) 6.516 * [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))))))) 6.516 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 6.516 * [taylor]: Taking taylor expansion of 1.0 in x 6.516 * [backup-simplify]: Simplify 1.0 into 1.0 6.516 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 6.516 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 6.516 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.516 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.516 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.516 * [taylor]: Taking taylor expansion of x in x 6.516 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify 1 into 1 6.517 * [taylor]: Taking taylor expansion of 1.0 in x 6.517 * [backup-simplify]: Simplify 1.0 into 1.0 6.517 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.517 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.517 * [backup-simplify]: Simplify (+ 1 0) into 1 6.518 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.518 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.518 * [taylor]: Taking taylor expansion of x in x 6.518 * [backup-simplify]: Simplify 0 into 0 6.518 * [backup-simplify]: Simplify 1 into 1 6.519 * [backup-simplify]: Simplify (sqrt 0) into 0 6.519 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.520 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 6.520 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 6.521 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 6.522 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 6.528 * [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)))))) 6.537 * [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))))))) 6.538 * [backup-simplify]: Simplify (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) into (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) 6.540 * [backup-simplify]: Simplify (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) into (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) 6.553 * [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)))))) 6.561 * [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)))))) 6.561 * [backup-simplify]: Simplify (+ 0 0) into 0 6.566 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.569 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.572 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 6.596 * [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)))))))) 6.645 * [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)))))))))) 6.686 * [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))))))))) 6.705 * [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))))))))) 6.735 * [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)))))))))) 6.735 * [backup-simplify]: Simplify (/ 1.0 (sqrt (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))))) into (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) 6.735 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in (x) around 0 6.735 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 6.735 * [taylor]: Taking taylor expansion of 1.0 in x 6.735 * [backup-simplify]: Simplify 1.0 into 1.0 6.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 6.735 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 6.735 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 6.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.735 * [taylor]: Taking taylor expansion of x in x 6.735 * [backup-simplify]: Simplify 0 into 0 6.735 * [backup-simplify]: Simplify 1 into 1 6.736 * [backup-simplify]: Simplify (/ 1 1) into 1 6.736 * [backup-simplify]: Simplify (sqrt 0) into 0 6.738 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.738 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.738 * [taylor]: Taking taylor expansion of x in x 6.738 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify 1 into 1 6.738 * [backup-simplify]: Simplify (/ 1 1) into 1 6.738 * [taylor]: Taking taylor expansion of 1.0 in x 6.738 * [backup-simplify]: Simplify 1.0 into 1.0 6.739 * [backup-simplify]: Simplify (+ 1 0) into 1 6.739 * [backup-simplify]: Simplify (sqrt 0) into 0 6.740 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.741 * [backup-simplify]: Simplify (+ 0 0) into 0 6.741 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.742 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 6.743 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 6.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.747 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.747 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.749 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.749 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.751 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.752 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 6.752 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 6.752 * [taylor]: Taking taylor expansion of 1.0 in x 6.752 * [backup-simplify]: Simplify 1.0 into 1.0 6.752 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 6.752 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 6.752 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 6.753 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.753 * [taylor]: Taking taylor expansion of x in x 6.753 * [backup-simplify]: Simplify 0 into 0 6.753 * [backup-simplify]: Simplify 1 into 1 6.753 * [backup-simplify]: Simplify (/ 1 1) into 1 6.753 * [backup-simplify]: Simplify (sqrt 0) into 0 6.754 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.754 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.754 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.754 * [taylor]: Taking taylor expansion of x in x 6.754 * [backup-simplify]: Simplify 0 into 0 6.754 * [backup-simplify]: Simplify 1 into 1 6.754 * [backup-simplify]: Simplify (/ 1 1) into 1 6.754 * [taylor]: Taking taylor expansion of 1.0 in x 6.754 * [backup-simplify]: Simplify 1.0 into 1.0 6.755 * [backup-simplify]: Simplify (+ 1 0) into 1 6.755 * [backup-simplify]: Simplify (sqrt 0) into 0 6.756 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.756 * [backup-simplify]: Simplify (+ 0 0) into 0 6.756 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.757 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 6.757 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 6.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.759 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.760 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.762 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.762 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.764 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.765 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 6.766 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 6.766 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 6.768 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 6.769 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 6.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.773 * [backup-simplify]: Simplify (+ 0 0) into 0 6.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.775 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.779 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.785 * [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))) 6.798 * [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)))))) 6.805 * [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)))))) 6.812 * [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))))))))) 6.812 * [backup-simplify]: Simplify (/ 1.0 (sqrt (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x)))))) into (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 6.812 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 6.812 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 6.812 * [taylor]: Taking taylor expansion of 1.0 in x 6.812 * [backup-simplify]: Simplify 1.0 into 1.0 6.812 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 6.812 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 6.812 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 6.812 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.812 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.812 * [taylor]: Taking taylor expansion of -1 in x 6.812 * [backup-simplify]: Simplify -1 into -1 6.812 * [taylor]: Taking taylor expansion of x in x 6.812 * [backup-simplify]: Simplify 0 into 0 6.812 * [backup-simplify]: Simplify 1 into 1 6.813 * [backup-simplify]: Simplify (/ -1 1) into -1 6.813 * [backup-simplify]: Simplify (sqrt 0) into 0 6.814 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.814 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.814 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.814 * [taylor]: Taking taylor expansion of 1.0 in x 6.814 * [backup-simplify]: Simplify 1.0 into 1.0 6.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.814 * [taylor]: Taking taylor expansion of x in x 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify 1 into 1 6.814 * [backup-simplify]: Simplify (/ 1 1) into 1 6.814 * [backup-simplify]: Simplify (- 1) into -1 6.815 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.815 * [backup-simplify]: Simplify (sqrt 0) into 0 6.816 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.816 * [backup-simplify]: Simplify (+ 0 0) into 0 6.816 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.817 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 6.817 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 6.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.819 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.820 * [backup-simplify]: Simplify (- 0) into 0 6.820 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.822 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.823 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.824 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.826 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 6.826 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 6.826 * [taylor]: Taking taylor expansion of 1.0 in x 6.826 * [backup-simplify]: Simplify 1.0 into 1.0 6.826 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 6.826 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 6.826 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 6.826 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.826 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.826 * [taylor]: Taking taylor expansion of -1 in x 6.826 * [backup-simplify]: Simplify -1 into -1 6.826 * [taylor]: Taking taylor expansion of x in x 6.826 * [backup-simplify]: Simplify 0 into 0 6.826 * [backup-simplify]: Simplify 1 into 1 6.826 * [backup-simplify]: Simplify (/ -1 1) into -1 6.826 * [backup-simplify]: Simplify (sqrt 0) into 0 6.827 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.827 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.827 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.827 * [taylor]: Taking taylor expansion of 1.0 in x 6.827 * [backup-simplify]: Simplify 1.0 into 1.0 6.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.827 * [taylor]: Taking taylor expansion of x in x 6.827 * [backup-simplify]: Simplify 0 into 0 6.827 * [backup-simplify]: Simplify 1 into 1 6.828 * [backup-simplify]: Simplify (/ 1 1) into 1 6.828 * [backup-simplify]: Simplify (- 1) into -1 6.828 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.828 * [backup-simplify]: Simplify (sqrt 0) into 0 6.829 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.829 * [backup-simplify]: Simplify (+ 0 0) into 0 6.830 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.830 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 6.830 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 6.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.833 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.833 * [backup-simplify]: Simplify (- 0) into 0 6.834 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.837 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.837 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.840 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.843 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 6.844 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 6.845 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 6.848 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 6.850 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 6.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.857 * [backup-simplify]: Simplify (- 0) into 0 6.857 * [backup-simplify]: Simplify (+ 0 0) into 0 6.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.862 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.868 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.873 * [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))) 6.888 * [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)))))) 6.896 * [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)))))) 6.907 * [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))))))))) 6.907 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 6.908 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) into (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 6.908 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 6.908 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 6.908 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.908 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.908 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.908 * [taylor]: Taking taylor expansion of x in x 6.908 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify 1 into 1 6.908 * [taylor]: Taking taylor expansion of 1.0 in x 6.908 * [backup-simplify]: Simplify 1.0 into 1.0 6.908 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.909 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.909 * [backup-simplify]: Simplify (+ 1 0) into 1 6.911 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.911 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.911 * [taylor]: Taking taylor expansion of x in x 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify 1 into 1 6.911 * [backup-simplify]: Simplify (sqrt 0) into 0 6.913 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.914 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 6.914 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 6.916 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 6.922 * [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))) 6.922 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 6.922 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.922 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.922 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.922 * [taylor]: Taking taylor expansion of x in x 6.922 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify 1 into 1 6.922 * [taylor]: Taking taylor expansion of 1.0 in x 6.922 * [backup-simplify]: Simplify 1.0 into 1.0 6.923 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.923 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.923 * [backup-simplify]: Simplify (+ 1 0) into 1 6.925 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.925 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.925 * [taylor]: Taking taylor expansion of x in x 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 1 into 1 6.926 * [backup-simplify]: Simplify (sqrt 0) into 0 6.930 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.931 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 6.932 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 6.933 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 6.939 * [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))) 6.940 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 6.947 * [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))) 6.947 * [backup-simplify]: Simplify (+ 0 0) into 0 6.953 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.956 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.959 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 6.984 * [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)))))))) 7.011 * [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))))))) 7.043 * [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)))))))))) 7.043 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)))) into (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 7.043 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 7.043 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 7.043 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 7.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.043 * [taylor]: Taking taylor expansion of x in x 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify 1 into 1 7.044 * [backup-simplify]: Simplify (/ 1 1) into 1 7.044 * [backup-simplify]: Simplify (sqrt 0) into 0 7.045 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 7.046 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 7.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.046 * [taylor]: Taking taylor expansion of x in x 7.046 * [backup-simplify]: Simplify 0 into 0 7.046 * [backup-simplify]: Simplify 1 into 1 7.046 * [backup-simplify]: Simplify (/ 1 1) into 1 7.046 * [taylor]: Taking taylor expansion of 1.0 in x 7.046 * [backup-simplify]: Simplify 1.0 into 1.0 7.047 * [backup-simplify]: Simplify (+ 1 0) into 1 7.047 * [backup-simplify]: Simplify (sqrt 0) into 0 7.048 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.049 * [backup-simplify]: Simplify (+ 0 0) into 0 7.049 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.050 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 7.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.054 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.055 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.058 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.058 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.061 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 7.061 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 7.061 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 7.061 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.061 * [taylor]: Taking taylor expansion of x in x 7.061 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify 1 into 1 7.061 * [backup-simplify]: Simplify (/ 1 1) into 1 7.062 * [backup-simplify]: Simplify (sqrt 0) into 0 7.063 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 7.063 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 7.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.063 * [taylor]: Taking taylor expansion of x in x 7.063 * [backup-simplify]: Simplify 0 into 0 7.063 * [backup-simplify]: Simplify 1 into 1 7.064 * [backup-simplify]: Simplify (/ 1 1) into 1 7.064 * [taylor]: Taking taylor expansion of 1.0 in x 7.064 * [backup-simplify]: Simplify 1.0 into 1.0 7.064 * [backup-simplify]: Simplify (+ 1 0) into 1 7.064 * [backup-simplify]: Simplify (sqrt 0) into 0 7.066 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.066 * [backup-simplify]: Simplify (+ 0 0) into 0 7.067 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.068 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 7.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.074 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.075 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.078 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.079 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.081 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 7.082 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 7.082 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 7.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.089 * [backup-simplify]: Simplify (+ 0 0) into 0 7.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.093 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.098 * [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))) 7.104 * [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))) 7.109 * [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))))))))) 7.109 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) into (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 7.109 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 7.109 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 7.109 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 7.109 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.109 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.109 * [taylor]: Taking taylor expansion of -1 in x 7.109 * [backup-simplify]: Simplify -1 into -1 7.109 * [taylor]: Taking taylor expansion of x in x 7.109 * [backup-simplify]: Simplify 0 into 0 7.109 * [backup-simplify]: Simplify 1 into 1 7.109 * [backup-simplify]: Simplify (/ -1 1) into -1 7.109 * [backup-simplify]: Simplify (sqrt 0) into 0 7.110 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.110 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.110 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.110 * [taylor]: Taking taylor expansion of 1.0 in x 7.110 * [backup-simplify]: Simplify 1.0 into 1.0 7.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.110 * [taylor]: Taking taylor expansion of x in x 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify 1 into 1 7.111 * [backup-simplify]: Simplify (/ 1 1) into 1 7.111 * [backup-simplify]: Simplify (- 1) into -1 7.111 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.111 * [backup-simplify]: Simplify (sqrt 0) into 0 7.112 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.112 * [backup-simplify]: Simplify (+ 0 0) into 0 7.113 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.113 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 7.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.115 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.116 * [backup-simplify]: Simplify (- 0) into 0 7.116 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.119 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.119 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.120 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 7.120 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 7.120 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 7.120 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.120 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.120 * [taylor]: Taking taylor expansion of -1 in x 7.120 * [backup-simplify]: Simplify -1 into -1 7.120 * [taylor]: Taking taylor expansion of x in x 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify 1 into 1 7.121 * [backup-simplify]: Simplify (/ -1 1) into -1 7.121 * [backup-simplify]: Simplify (sqrt 0) into 0 7.122 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.122 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.122 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.122 * [taylor]: Taking taylor expansion of 1.0 in x 7.122 * [backup-simplify]: Simplify 1.0 into 1.0 7.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.122 * [taylor]: Taking taylor expansion of x in x 7.122 * [backup-simplify]: Simplify 0 into 0 7.122 * [backup-simplify]: Simplify 1 into 1 7.122 * [backup-simplify]: Simplify (/ 1 1) into 1 7.122 * [backup-simplify]: Simplify (- 1) into -1 7.123 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.123 * [backup-simplify]: Simplify (sqrt 0) into 0 7.124 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.124 * [backup-simplify]: Simplify (+ 0 0) into 0 7.124 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.125 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 7.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.127 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.128 * [backup-simplify]: Simplify (- 0) into 0 7.128 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.130 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.130 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.132 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 7.132 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 7.133 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 7.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.137 * [backup-simplify]: Simplify (- 0) into 0 7.137 * [backup-simplify]: Simplify (+ 0 0) into 0 7.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.141 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.147 * [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))) 7.154 * [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))) 7.163 * [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))))))))) 7.163 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 7.163 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) into (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 7.163 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 7.164 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 7.164 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 7.164 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 7.164 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 7.164 * [taylor]: Taking taylor expansion of x in x 7.164 * [backup-simplify]: Simplify 0 into 0 7.164 * [backup-simplify]: Simplify 1 into 1 7.164 * [taylor]: Taking taylor expansion of 1.0 in x 7.164 * [backup-simplify]: Simplify 1.0 into 1.0 7.164 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.165 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.165 * [backup-simplify]: Simplify (+ 1 0) into 1 7.167 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 7.167 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.167 * [taylor]: Taking taylor expansion of x in x 7.167 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify 1 into 1 7.167 * [backup-simplify]: Simplify (sqrt 0) into 0 7.169 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.170 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 7.171 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 7.172 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 7.178 * [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))) 7.178 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 7.178 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 7.178 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 7.178 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 7.178 * [taylor]: Taking taylor expansion of x in x 7.178 * [backup-simplify]: Simplify 0 into 0 7.178 * [backup-simplify]: Simplify 1 into 1 7.178 * [taylor]: Taking taylor expansion of 1.0 in x 7.178 * [backup-simplify]: Simplify 1.0 into 1.0 7.178 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.179 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.179 * [backup-simplify]: Simplify (+ 1 0) into 1 7.181 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 7.181 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.181 * [taylor]: Taking taylor expansion of x in x 7.181 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify 1 into 1 7.181 * [backup-simplify]: Simplify (sqrt 0) into 0 7.182 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.183 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 7.184 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 7.186 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 7.194 * [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))) 7.194 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 7.201 * [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))) 7.202 * [backup-simplify]: Simplify (+ 0 0) into 0 7.207 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 7.210 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.213 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 7.232 * [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)))))))) 7.247 * [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))))))) 7.265 * [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)))))))))) 7.266 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)))) into (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 7.266 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 7.266 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 7.266 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 7.266 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.266 * [taylor]: Taking taylor expansion of x in x 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify 1 into 1 7.266 * [backup-simplify]: Simplify (/ 1 1) into 1 7.266 * [backup-simplify]: Simplify (sqrt 0) into 0 7.267 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 7.267 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 7.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.267 * [taylor]: Taking taylor expansion of x in x 7.267 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify 1 into 1 7.267 * [backup-simplify]: Simplify (/ 1 1) into 1 7.268 * [taylor]: Taking taylor expansion of 1.0 in x 7.268 * [backup-simplify]: Simplify 1.0 into 1.0 7.268 * [backup-simplify]: Simplify (+ 1 0) into 1 7.268 * [backup-simplify]: Simplify (sqrt 0) into 0 7.269 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.269 * [backup-simplify]: Simplify (+ 0 0) into 0 7.269 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.270 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 7.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.272 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.273 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.275 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.275 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.276 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 7.276 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 7.276 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 7.276 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.276 * [taylor]: Taking taylor expansion of x in x 7.276 * [backup-simplify]: Simplify 0 into 0 7.276 * [backup-simplify]: Simplify 1 into 1 7.277 * [backup-simplify]: Simplify (/ 1 1) into 1 7.277 * [backup-simplify]: Simplify (sqrt 0) into 0 7.278 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 7.278 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 7.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.278 * [taylor]: Taking taylor expansion of x in x 7.278 * [backup-simplify]: Simplify 0 into 0 7.278 * [backup-simplify]: Simplify 1 into 1 7.278 * [backup-simplify]: Simplify (/ 1 1) into 1 7.278 * [taylor]: Taking taylor expansion of 1.0 in x 7.278 * [backup-simplify]: Simplify 1.0 into 1.0 7.279 * [backup-simplify]: Simplify (+ 1 0) into 1 7.279 * [backup-simplify]: Simplify (sqrt 0) into 0 7.280 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.280 * [backup-simplify]: Simplify (+ 0 0) into 0 7.280 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.281 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 7.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.283 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.284 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.285 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.286 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.289 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 7.289 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 7.290 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 7.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.293 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.294 * [backup-simplify]: Simplify (+ 0 0) into 0 7.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.296 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.299 * [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))) 7.305 * [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))) 7.313 * [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))))))))) 7.314 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) into (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 7.314 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 7.314 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 7.314 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 7.314 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.314 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.314 * [taylor]: Taking taylor expansion of -1 in x 7.314 * [backup-simplify]: Simplify -1 into -1 7.314 * [taylor]: Taking taylor expansion of x in x 7.314 * [backup-simplify]: Simplify 0 into 0 7.314 * [backup-simplify]: Simplify 1 into 1 7.315 * [backup-simplify]: Simplify (/ -1 1) into -1 7.315 * [backup-simplify]: Simplify (sqrt 0) into 0 7.316 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.316 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.316 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.316 * [taylor]: Taking taylor expansion of 1.0 in x 7.316 * [backup-simplify]: Simplify 1.0 into 1.0 7.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.316 * [taylor]: Taking taylor expansion of x in x 7.316 * [backup-simplify]: Simplify 0 into 0 7.316 * [backup-simplify]: Simplify 1 into 1 7.317 * [backup-simplify]: Simplify (/ 1 1) into 1 7.317 * [backup-simplify]: Simplify (- 1) into -1 7.317 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.318 * [backup-simplify]: Simplify (sqrt 0) into 0 7.319 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.319 * [backup-simplify]: Simplify (+ 0 0) into 0 7.320 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.321 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 7.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.324 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.325 * [backup-simplify]: Simplify (- 0) into 0 7.326 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.329 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.329 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.331 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 7.331 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 7.331 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 7.331 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.331 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.331 * [taylor]: Taking taylor expansion of -1 in x 7.331 * [backup-simplify]: Simplify -1 into -1 7.331 * [taylor]: Taking taylor expansion of x in x 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 1 into 1 7.332 * [backup-simplify]: Simplify (/ -1 1) into -1 7.332 * [backup-simplify]: Simplify (sqrt 0) into 0 7.334 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.334 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.334 * [taylor]: Taking taylor expansion of 1.0 in x 7.334 * [backup-simplify]: Simplify 1.0 into 1.0 7.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.334 * [taylor]: Taking taylor expansion of x in x 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify 1 into 1 7.334 * [backup-simplify]: Simplify (/ 1 1) into 1 7.334 * [backup-simplify]: Simplify (- 1) into -1 7.335 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.335 * [backup-simplify]: Simplify (sqrt 0) into 0 7.336 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.337 * [backup-simplify]: Simplify (+ 0 0) into 0 7.337 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.338 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 7.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.341 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.342 * [backup-simplify]: Simplify (- 0) into 0 7.343 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.345 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.346 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.348 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 7.348 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 7.349 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 7.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.355 * [backup-simplify]: Simplify (- 0) into 0 7.355 * [backup-simplify]: Simplify (+ 0 0) into 0 7.358 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.359 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.364 * [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))) 7.370 * [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))) 7.379 * [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))))))))) 7.379 * * * [progress]: simplifying candidates 7.395 * [simplify]: Simplifying: (expm1 (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (log1p (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (- (- (log 1.0) (log (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (log (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (- (log (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (log (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (log (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (exp (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (* (* (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (* (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (- (/ 1.0 (sqrt 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[simplify]: iteration 1: 1103 enodes 8.161 * * [simplify]: iteration 2: 4313 enodes 8.883 * * [simplify]: iteration complete: 5000 enodes 8.883 * * [simplify]: Extracting #0: cost 192 inf + 0 8.888 * * [simplify]: Extracting #1: cost 1056 inf + 5 8.899 * * [simplify]: Extracting #2: cost 1458 inf + 159 8.921 * * [simplify]: Extracting #3: cost 1509 inf + 633 8.933 * * [simplify]: Extracting #4: cost 1261 inf + 2590 8.946 * * [simplify]: Extracting #5: cost 788 inf + 9535 8.959 * * [simplify]: Extracting #6: cost 211 inf + 20709 8.972 * * [simplify]: Extracting #7: cost 40 inf + 25084 8.985 * * [simplify]: Extracting #8: cost 2 inf + 26561 8.998 * * [simplify]: Extracting #9: cost 0 inf + 26514 9.005 * * [simplify]: Extracting #10: cost 0 inf + 26478 9.011 * * [simplify]: Extracting #11: cost 0 inf + 26470 9.023 * [simplify]: Simplified to: (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 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