34.232 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying: (- (sqrt (+ x 1.0)) (sqrt x)) 0.031 * * [simplify]: iteration 0: 6 enodes 0.033 * * [simplify]: iteration 1: 9 enodes 0.036 * * [simplify]: iteration 2: 10 enodes 0.038 * * [simplify]: iteration complete: 10 enodes 0.038 * * [simplify]: Extracting #0: cost 1 inf + 0 0.038 * * [simplify]: Extracting #1: cost 4 inf + 0 0.039 * * [simplify]: Extracting #2: cost 6 inf + 0 0.039 * * [simplify]: Extracting #3: cost 6 inf + 1 0.039 * * [simplify]: Extracting #4: cost 0 inf + 410 0.039 * [simplify]: Simplified to: (- (sqrt (+ 1.0 x)) (sqrt x)) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.134 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.144 * * * [progress]: generating series expansions 0.144 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.144 * [backup-simplify]: Simplify (- (sqrt (+ x 1.0)) (sqrt x)) into (- (sqrt (+ x 1.0)) (sqrt x)) 0.145 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.145 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.145 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [backup-simplify]: Simplify 1.0 into 1.0 0.145 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.145 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.147 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (sqrt 0) into 0 0.148 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.148 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.148 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * [backup-simplify]: Simplify 1.0 into 1.0 0.148 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.149 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.149 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.150 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (sqrt 0) into 0 0.151 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.152 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.152 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.154 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) (- +nan.0)) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.155 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.163 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.163 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.166 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) (- +nan.0)) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 0.172 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 0.181 * [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)))))) 0.182 * [backup-simplify]: Simplify (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) 0.182 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in (x) around 0 0.182 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [backup-simplify]: Simplify 1.0 into 1.0 0.183 * [backup-simplify]: Simplify (+ 1 0) into 1 0.183 * [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 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in x 0.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [backup-simplify]: Simplify 1.0 into 1.0 0.188 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify (sqrt 0) into 0 0.190 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.190 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [backup-simplify]: Simplify (sqrt 0) into 0 0.192 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.192 * [backup-simplify]: Simplify (- 0) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.194 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.194 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.199 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.203 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.204 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.205 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.216 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.217 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.217 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.218 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.218 * [backup-simplify]: Simplify (- (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) 0.218 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.218 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.218 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.218 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.218 * [taylor]: Taking taylor expansion of 1.0 in x 0.218 * [backup-simplify]: Simplify 1.0 into 1.0 0.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [backup-simplify]: Simplify (- 1) into -1 0.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.219 * [backup-simplify]: Simplify (sqrt 0) into 0 0.220 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.220 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.220 * [taylor]: Taking taylor expansion of -1 in x 0.220 * [backup-simplify]: Simplify -1 into -1 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ -1 1) into -1 0.221 * [backup-simplify]: Simplify (sqrt 0) into 0 0.221 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.221 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.221 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.221 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.221 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [backup-simplify]: Simplify 1.0 into 1.0 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [backup-simplify]: Simplify (- 1) into -1 0.222 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.223 * [backup-simplify]: Simplify (sqrt 0) into 0 0.224 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.224 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.224 * [taylor]: Taking taylor expansion of -1 in x 0.224 * [backup-simplify]: Simplify -1 into -1 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ -1 1) into -1 0.225 * [backup-simplify]: Simplify (sqrt 0) into 0 0.226 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.227 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.227 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.230 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.236 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.237 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.237 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.244 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.244 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.245 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.246 * [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))))) 0.246 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.246 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 0.246 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.246 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.246 * [backup-simplify]: Simplify 1.0 into 1.0 0.246 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.247 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.247 * [backup-simplify]: Simplify (+ 1 0) into 1 0.248 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.248 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.248 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.248 * [backup-simplify]: Simplify 1.0 into 1.0 0.248 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.248 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.249 * [backup-simplify]: Simplify (+ 1 0) into 1 0.250 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.250 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.251 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.255 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.257 * [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)))) 0.257 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ (/ 1 x) 1.0)) 0.257 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [taylor]: Taking taylor expansion of 1.0 in x 0.258 * [backup-simplify]: Simplify 1.0 into 1.0 0.258 * [backup-simplify]: Simplify (+ 1 0) into 1 0.258 * [backup-simplify]: Simplify (sqrt 0) into 0 0.259 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [backup-simplify]: Simplify 1.0 into 1.0 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.260 * [backup-simplify]: Simplify (sqrt 0) into 0 0.261 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.263 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.263 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.266 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.267 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.267 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 0.267 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.267 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of 1.0 in x 0.267 * [backup-simplify]: Simplify 1.0 into 1.0 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [backup-simplify]: Simplify (- 1) into -1 0.268 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.268 * [backup-simplify]: Simplify (sqrt 0) into 0 0.269 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.269 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.269 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of 1.0 in x 0.269 * [backup-simplify]: Simplify 1.0 into 1.0 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify (- 1) into -1 0.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.270 * [backup-simplify]: Simplify (sqrt 0) into 0 0.271 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.274 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.274 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.277 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.277 * [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))))) 0.277 * * * [progress]: simplifying candidates 0.279 * [simplify]: Simplifying: (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma 1 (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.281 * * [simplify]: iteration 0: 139 enodes 0.315 * * [simplify]: iteration 1: 322 enodes 0.486 * * [simplify]: iteration 2: 785 enodes 0.899 * * [simplify]: iteration 3: 2271 enodes 1.929 * * [simplify]: iteration complete: 5003 enodes 1.930 * * [simplify]: Extracting #0: cost 41 inf + 0 1.931 * * [simplify]: Extracting #1: cost 346 inf + 3 1.938 * * [simplify]: Extracting #2: cost 941 inf + 1604 1.957 * * [simplify]: Extracting #3: cost 877 inf + 42042 1.996 * * [simplify]: Extracting #4: cost 288 inf + 173611 2.063 * * [simplify]: Extracting #5: cost 72 inf + 242349 2.144 * * [simplify]: Extracting #6: cost 15 inf + 253660 2.214 * * [simplify]: Extracting #7: cost 3 inf + 255892 2.289 * * [simplify]: Extracting #8: cost 0 inf + 256771 2.366 * [simplify]: Simplified to: (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (sqrt x)) 0 (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (sqrt x)) 0 (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (sqrt x)) 0 (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (sqrt x)) 0 (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (expm1 (- (sqrt (+ 1.0 x)) (sqrt x))) (log1p (- (sqrt (+ 1.0 x)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ 1.0 x)) (sqrt x))) (log (- (sqrt (+ 1.0 x)) (sqrt x))) (exp (- (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (- (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (- (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (- (sqrt (+ 1.0 x)) (sqrt x))) (* (* (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (- (* (+ 1.0 x) (sqrt (+ 1.0 x))) (* x (sqrt x))) (fma (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt x) (+ 1.0 x)) (- (sqrt x)) (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt x)) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (+ 1.0 x) (sqrt (+ 1.0 x))) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (sqrt (fma (* 1.0 1.0) 1.0 (* x (* x x)))) (sqrt (fma 1.0 1.0 (* x (- x 1.0)))) (sqrt (* (+ 1.0 x) (- x 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (+ (fma (/ -1/8 1.0) (/ (* x x) (sqrt 1.0)) (* +nan.0 (- (* x x) x))) (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (fma +nan.0 (/ -1 (* x x)) (- (/ +nan.0 x) +nan.0)) (fma +nan.0 (/ -1 (* x x)) (- (/ +nan.0 x) +nan.0)) (fma (/ (/ x (/ 1.0 x)) (sqrt 1.0)) -1/8 (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (fma +nan.0 (/ -1 (* x x)) (- (/ +nan.0 x) +nan.0)) (fma +nan.0 (/ -1 (* x x)) (- (/ +nan.0 x) +nan.0)) 2.377 * * * [progress]: adding candidates to table 2.645 * * [progress]: iteration 2 / 4 2.645 * * * [progress]: picking best candidate 2.708 * * * * [pick]: Picked # 2.708 * * * [progress]: localizing error 2.743 * * * [progress]: generating rewritten candidates 2.743 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.810 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.979 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.032 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.053 * * * [progress]: generating series expansions 3.053 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.054 * [backup-simplify]: Simplify (- (+ 1.0 x) x) into 1.0 3.054 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 3.054 * [taylor]: Taking taylor expansion of 1.0 in x 3.054 * [backup-simplify]: Simplify 1.0 into 1.0 3.054 * [taylor]: Taking taylor expansion of 1.0 in x 3.054 * [backup-simplify]: Simplify 1.0 into 1.0 3.054 * [backup-simplify]: Simplify 1.0 into 1.0 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1.0 into 1.0 3.054 * [backup-simplify]: Simplify (- (+ 1.0 (/ 1 x)) (/ 1 x)) into 1.0 3.054 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 3.054 * [taylor]: Taking taylor expansion of 1.0 in x 3.054 * [backup-simplify]: Simplify 1.0 into 1.0 3.054 * [taylor]: Taking taylor expansion of 1.0 in x 3.055 * [backup-simplify]: Simplify 1.0 into 1.0 3.055 * [backup-simplify]: Simplify 1.0 into 1.0 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 1.0 into 1.0 3.055 * [backup-simplify]: Simplify (- (+ 1.0 (/ 1 (- x))) (/ 1 (- x))) into 1.0 3.055 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 3.055 * [taylor]: Taking taylor expansion of 1.0 in x 3.055 * [backup-simplify]: Simplify 1.0 into 1.0 3.055 * [taylor]: Taking taylor expansion of 1.0 in x 3.055 * [backup-simplify]: Simplify 1.0 into 1.0 3.055 * [backup-simplify]: Simplify 1.0 into 1.0 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 1.0 into 1.0 3.056 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.056 * [backup-simplify]: Simplify (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3.056 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.056 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.056 * [taylor]: Taking taylor expansion of 1.0 in x 3.056 * [backup-simplify]: Simplify 1.0 into 1.0 3.056 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.056 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.056 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.056 * [taylor]: Taking taylor expansion of x in x 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.056 * [taylor]: Taking taylor expansion of 1.0 in x 3.056 * [backup-simplify]: Simplify 1.0 into 1.0 3.057 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.057 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.058 * [backup-simplify]: Simplify (+ 1 0) into 1 3.059 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.059 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.059 * [taylor]: Taking taylor expansion of x in x 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 1 into 1 3.060 * [backup-simplify]: Simplify (sqrt 0) into 0 3.061 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.062 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.063 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.063 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.063 * [taylor]: Taking taylor expansion of 1.0 in x 3.063 * [backup-simplify]: Simplify 1.0 into 1.0 3.063 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.063 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.063 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.063 * [taylor]: Taking taylor expansion of x in x 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [taylor]: Taking taylor expansion of 1.0 in x 3.063 * [backup-simplify]: Simplify 1.0 into 1.0 3.064 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.064 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.065 * [backup-simplify]: Simplify (+ 1 0) into 1 3.066 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.066 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.066 * [taylor]: Taking taylor expansion of x in x 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 1 into 1 3.067 * [backup-simplify]: Simplify (sqrt 0) into 0 3.068 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.069 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.070 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.071 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.072 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.083 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 3.093 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 3.093 * [backup-simplify]: Simplify (+ 0 0) into 0 3.098 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.100 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.102 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 3.126 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 3.148 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 3.183 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow x 2)) (+ (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))))))))))) 3.184 * [backup-simplify]: Simplify (/ (- (+ 1.0 (/ 1 x)) (/ 1 x)) (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 3.184 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 3.184 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 3.184 * [taylor]: Taking taylor expansion of 1.0 in x 3.184 * [backup-simplify]: Simplify 1.0 into 1.0 3.184 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 3.184 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.184 * [taylor]: Taking taylor expansion of x in x 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 1 into 1 3.185 * [backup-simplify]: Simplify (/ 1 1) into 1 3.185 * [backup-simplify]: Simplify (sqrt 0) into 0 3.186 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.186 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.186 * [taylor]: Taking taylor expansion of x in x 3.186 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify 1 into 1 3.187 * [backup-simplify]: Simplify (/ 1 1) into 1 3.187 * [taylor]: Taking taylor expansion of 1.0 in x 3.187 * [backup-simplify]: Simplify 1.0 into 1.0 3.187 * [backup-simplify]: Simplify (+ 1 0) into 1 3.187 * [backup-simplify]: Simplify (sqrt 0) into 0 3.189 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.190 * [backup-simplify]: Simplify (+ 0 0) into 0 3.190 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.191 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.191 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 3.191 * [taylor]: Taking taylor expansion of 1.0 in x 3.191 * [backup-simplify]: Simplify 1.0 into 1.0 3.191 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 3.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.191 * [taylor]: Taking taylor expansion of x in x 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.191 * [backup-simplify]: Simplify (/ 1 1) into 1 3.192 * [backup-simplify]: Simplify (sqrt 0) into 0 3.193 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.193 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.193 * [taylor]: Taking taylor expansion of x in x 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 1 into 1 3.194 * [backup-simplify]: Simplify (/ 1 1) into 1 3.194 * [taylor]: Taking taylor expansion of 1.0 in x 3.194 * [backup-simplify]: Simplify 1.0 into 1.0 3.194 * [backup-simplify]: Simplify (+ 1 0) into 1 3.194 * [backup-simplify]: Simplify (sqrt 0) into 0 3.196 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.196 * [backup-simplify]: Simplify (+ 0 0) into 0 3.196 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.197 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.197 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.201 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.202 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.206 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.206 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.210 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.210 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.219 * [backup-simplify]: Simplify (+ 0 0) into 0 3.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.223 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.227 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.228 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.228 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.229 * [backup-simplify]: Simplify (/ (- (+ 1.0 (/ 1 (- x))) (/ 1 (- x))) (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 3.229 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.229 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.229 * [taylor]: Taking taylor expansion of 1.0 in x 3.229 * [backup-simplify]: Simplify 1.0 into 1.0 3.229 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.229 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.229 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.229 * [taylor]: Taking taylor expansion of -1 in x 3.229 * [backup-simplify]: Simplify -1 into -1 3.229 * [taylor]: Taking taylor expansion of x in x 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 1 into 1 3.229 * [backup-simplify]: Simplify (/ -1 1) into -1 3.229 * [backup-simplify]: Simplify (sqrt 0) into 0 3.230 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.230 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.230 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.230 * [taylor]: Taking taylor expansion of 1.0 in x 3.230 * [backup-simplify]: Simplify 1.0 into 1.0 3.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.230 * [taylor]: Taking taylor expansion of x in x 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (/ 1 1) into 1 3.231 * [backup-simplify]: Simplify (- 1) into -1 3.231 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.231 * [backup-simplify]: Simplify (sqrt 0) into 0 3.232 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.232 * [backup-simplify]: Simplify (+ 0 0) into 0 3.232 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.233 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.233 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.233 * [taylor]: Taking taylor expansion of 1.0 in x 3.233 * [backup-simplify]: Simplify 1.0 into 1.0 3.233 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.233 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.233 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.233 * [taylor]: Taking taylor expansion of -1 in x 3.233 * [backup-simplify]: Simplify -1 into -1 3.233 * [taylor]: Taking taylor expansion of x in x 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (/ -1 1) into -1 3.234 * [backup-simplify]: Simplify (sqrt 0) into 0 3.234 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.234 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.234 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.234 * [taylor]: Taking taylor expansion of 1.0 in x 3.234 * [backup-simplify]: Simplify 1.0 into 1.0 3.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.235 * [taylor]: Taking taylor expansion of x in x 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 1 into 1 3.235 * [backup-simplify]: Simplify (/ 1 1) into 1 3.235 * [backup-simplify]: Simplify (- 1) into -1 3.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.235 * [backup-simplify]: Simplify (sqrt 0) into 0 3.236 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.236 * [backup-simplify]: Simplify (+ 0 0) into 0 3.237 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.237 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.237 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.240 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.241 * [backup-simplify]: Simplify (- 0) into 0 3.241 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.243 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.244 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.246 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.246 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.250 * [backup-simplify]: Simplify (- 0) into 0 3.250 * [backup-simplify]: Simplify (+ 0 0) into 0 3.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.253 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.256 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.256 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.257 * [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))))) 3.258 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.258 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 x)) (sqrt x)) into (+ (sqrt (+ x 1.0)) (sqrt x)) 3.258 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 3.258 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.258 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.258 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.258 * [taylor]: Taking taylor expansion of x in x 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify 1 into 1 3.258 * [taylor]: Taking taylor expansion of 1.0 in x 3.258 * [backup-simplify]: Simplify 1.0 into 1.0 3.258 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.258 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.259 * [backup-simplify]: Simplify (+ 1 0) into 1 3.260 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.260 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.260 * [taylor]: Taking taylor expansion of x in x 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify 1 into 1 3.260 * [backup-simplify]: Simplify (sqrt 0) into 0 3.261 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.261 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.261 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.261 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.261 * [taylor]: Taking taylor expansion of x in x 3.261 * [backup-simplify]: Simplify 0 into 0 3.261 * [backup-simplify]: Simplify 1 into 1 3.261 * [taylor]: Taking taylor expansion of 1.0 in x 3.261 * [backup-simplify]: Simplify 1.0 into 1.0 3.261 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.261 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.262 * [backup-simplify]: Simplify (+ 1 0) into 1 3.263 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.263 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.263 * [taylor]: Taking taylor expansion of x in x 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 1 into 1 3.263 * [backup-simplify]: Simplify (sqrt 0) into 0 3.264 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.264 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.265 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.265 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.267 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.267 * [backup-simplify]: Simplify (+ 0 0) into 0 3.270 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.272 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.273 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 3.277 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 3.286 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (pow x 2)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) 3.286 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) into (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) 3.286 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 3.286 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 3.286 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.286 * [taylor]: Taking taylor expansion of x in x 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (/ 1 1) into 1 3.287 * [backup-simplify]: Simplify (sqrt 0) into 0 3.288 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.289 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.289 * [taylor]: Taking taylor expansion of x in x 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify 1 into 1 3.289 * [backup-simplify]: Simplify (/ 1 1) into 1 3.289 * [taylor]: Taking taylor expansion of 1.0 in x 3.289 * [backup-simplify]: Simplify 1.0 into 1.0 3.290 * [backup-simplify]: Simplify (+ 1 0) into 1 3.290 * [backup-simplify]: Simplify (sqrt 0) into 0 3.292 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.292 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 3.292 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.292 * [taylor]: Taking taylor expansion of x in x 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [backup-simplify]: Simplify (/ 1 1) into 1 3.293 * [backup-simplify]: Simplify (sqrt 0) into 0 3.294 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.294 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.294 * [taylor]: Taking taylor expansion of x in x 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 1 into 1 3.294 * [backup-simplify]: Simplify (/ 1 1) into 1 3.294 * [taylor]: Taking taylor expansion of 1.0 in x 3.295 * [backup-simplify]: Simplify 1.0 into 1.0 3.295 * [backup-simplify]: Simplify (+ 1 0) into 1 3.295 * [backup-simplify]: Simplify (sqrt 0) into 0 3.297 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.297 * [backup-simplify]: Simplify (+ 0 0) into 0 3.297 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.298 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.302 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.303 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.306 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.307 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.307 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.314 * [backup-simplify]: Simplify (+ 0 0) into 0 3.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.319 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.319 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.320 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.321 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) into (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 3.321 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 3.321 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.321 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.321 * [taylor]: Taking taylor expansion of -1 in x 3.321 * [backup-simplify]: Simplify -1 into -1 3.321 * [taylor]: Taking taylor expansion of x in x 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 1 into 1 3.321 * [backup-simplify]: Simplify (/ -1 1) into -1 3.322 * [backup-simplify]: Simplify (sqrt 0) into 0 3.323 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.323 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.323 * [taylor]: Taking taylor expansion of 1.0 in x 3.323 * [backup-simplify]: Simplify 1.0 into 1.0 3.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.323 * [taylor]: Taking taylor expansion of x in x 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify 1 into 1 3.324 * [backup-simplify]: Simplify (/ 1 1) into 1 3.324 * [backup-simplify]: Simplify (- 1) into -1 3.327 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.328 * [backup-simplify]: Simplify (sqrt 0) into 0 3.329 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.329 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.329 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.329 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.329 * [taylor]: Taking taylor expansion of -1 in x 3.329 * [backup-simplify]: Simplify -1 into -1 3.329 * [taylor]: Taking taylor expansion of x in x 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (/ -1 1) into -1 3.330 * [backup-simplify]: Simplify (sqrt 0) into 0 3.331 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.331 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.332 * [taylor]: Taking taylor expansion of 1.0 in x 3.332 * [backup-simplify]: Simplify 1.0 into 1.0 3.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.332 * [taylor]: Taking taylor expansion of x in x 3.332 * [backup-simplify]: Simplify 0 into 0 3.332 * [backup-simplify]: Simplify 1 into 1 3.332 * [backup-simplify]: Simplify (/ 1 1) into 1 3.332 * [backup-simplify]: Simplify (- 1) into -1 3.333 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.333 * [backup-simplify]: Simplify (sqrt 0) into 0 3.335 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.335 * [backup-simplify]: Simplify (+ 0 0) into 0 3.335 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.336 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.340 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.341 * [backup-simplify]: Simplify (- 0) into 0 3.342 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.345 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.346 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.346 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.352 * [backup-simplify]: Simplify (- 0) into 0 3.353 * [backup-simplify]: Simplify (+ 0 0) into 0 3.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.357 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.358 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.359 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.359 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.359 * [backup-simplify]: Simplify (sqrt (+ 1.0 x)) into (sqrt (+ x 1.0)) 3.359 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 3.359 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.359 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.360 * [taylor]: Taking taylor expansion of x in x 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [taylor]: Taking taylor expansion of 1.0 in x 3.360 * [backup-simplify]: Simplify 1.0 into 1.0 3.360 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.361 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.361 * [backup-simplify]: Simplify (+ 1 0) into 1 3.363 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.363 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.363 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.363 * [taylor]: Taking taylor expansion of x in x 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify 1 into 1 3.363 * [taylor]: Taking taylor expansion of 1.0 in x 3.363 * [backup-simplify]: Simplify 1.0 into 1.0 3.364 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.364 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.365 * [backup-simplify]: Simplify (+ 1 0) into 1 3.366 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.367 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.368 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 3.368 * [backup-simplify]: Simplify (+ 0 0) into 0 3.374 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.375 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.379 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 3.379 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 x))) into (sqrt (+ (/ 1 x) 1.0)) 3.379 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 3.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.379 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.379 * [taylor]: Taking taylor expansion of x in x 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify 1 into 1 3.380 * [backup-simplify]: Simplify (/ 1 1) into 1 3.380 * [taylor]: Taking taylor expansion of 1.0 in x 3.380 * [backup-simplify]: Simplify 1.0 into 1.0 3.380 * [backup-simplify]: Simplify (+ 1 0) into 1 3.381 * [backup-simplify]: Simplify (sqrt 0) into 0 3.382 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.382 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.382 * [taylor]: Taking taylor expansion of x in x 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 1 into 1 3.382 * [backup-simplify]: Simplify (/ 1 1) into 1 3.382 * [taylor]: Taking taylor expansion of 1.0 in x 3.382 * [backup-simplify]: Simplify 1.0 into 1.0 3.383 * [backup-simplify]: Simplify (+ 1 0) into 1 3.383 * [backup-simplify]: Simplify (sqrt 0) into 0 3.384 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.386 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.389 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.389 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.391 * [backup-simplify]: Simplify (+ 0 0) into 0 3.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.395 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.395 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.395 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 (- x)))) into (sqrt (- 1.0 (/ 1 x))) 3.395 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 3.395 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.395 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.395 * [taylor]: Taking taylor expansion of 1.0 in x 3.395 * [backup-simplify]: Simplify 1.0 into 1.0 3.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.395 * [taylor]: Taking taylor expansion of x in x 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify 1 into 1 3.396 * [backup-simplify]: Simplify (/ 1 1) into 1 3.397 * [backup-simplify]: Simplify (- 1) into -1 3.397 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.397 * [backup-simplify]: Simplify (sqrt 0) into 0 3.399 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.399 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.399 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.399 * [taylor]: Taking taylor expansion of 1.0 in x 3.399 * [backup-simplify]: Simplify 1.0 into 1.0 3.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.399 * [taylor]: Taking taylor expansion of x in x 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (/ 1 1) into 1 3.400 * [backup-simplify]: Simplify (- 1) into -1 3.400 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.400 * [backup-simplify]: Simplify (sqrt 0) into 0 3.402 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.403 * [backup-simplify]: Simplify (- 0) into 0 3.403 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.406 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.406 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.408 * [backup-simplify]: Simplify (- 0) into 0 3.408 * [backup-simplify]: Simplify (+ 0 0) into 0 3.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.412 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.412 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.412 * * * [progress]: simplifying candidates 3.416 * [simplify]: Simplifying: (fma (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x)) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x)) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x)) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x)) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x)) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x)) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma 1 (+ 1.0 x) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma 1 (+ 1.0 x) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma 1 (+ 1.0 x) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma 1 (+ 1.0 x) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma 1 (+ 1.0 x) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma 1 (+ 1.0 x) (- (* x 1))) (fma (- x) 1 (* x 1)) (expm1 (- (+ 1.0 x) x)) (log1p (- (+ 1.0 x) x)) (- x) (- x) (- x) (- x) (/ (* (exp 1.0) (exp x)) (exp x)) (/ (exp (+ 1.0 x)) (exp x)) (log (- (+ 1.0 x) x)) (exp (- (+ 1.0 x) x)) (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (cbrt (- (+ 1.0 x) x)) (* (* (- (+ 1.0 x) x) (- (+ 1.0 x) x)) (- (+ 1.0 x) x)) (sqrt (- (+ 1.0 x) x)) (sqrt (- (+ 1.0 x) x)) (- (pow (+ 1.0 x) 3) (pow x 3)) (+ (* (+ 1.0 x) (+ 1.0 x)) (+ (* x x) (* (+ 1.0 x) x))) (- x) (- (* (+ 1.0 x) (+ 1.0 x)) (* x x)) (+ (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (+ 1.0 x) x) (- (+ 1.0 x) x) (- x x) (- x) (expm1 (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log1p (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- (log (- (+ 1.0 x) x)) (log (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (* (- (+ 1.0 x) x) (- (+ 1.0 x) x)) (- (+ 1.0 x) x)) (* (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (* (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- (- (+ 1.0 x) x)) (- (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ 1.0 x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ x (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (cbrt (- (+ 1.0 x) x)) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (cbrt (- (+ 1.0 x) x)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) 1) (/ (cbrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (sqrt 1)) (/ (cbrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (sqrt 1)) (/ (cbrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) 1) (/ (cbrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt (- (+ 1.0 x) x)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt (- (+ 1.0 x) x)) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (- (+ 1.0 x) x)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (- (+ 1.0 x) x)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (- (+ 1.0 x) x)) 1) (/ (sqrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt (- (+ 1.0 x) x)) (sqrt 1)) (/ (sqrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt (- (+ 1.0 x) x)) (sqrt 1)) (/ (sqrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt (- (+ 1.0 x) x)) 1) (/ (sqrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (- (+ 1.0 x) x) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (+ 1.0 x) x) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 1) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 1) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (- (sqrt (+ 1.0 x)) (sqrt x)) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (sqrt (+ 1.0 x)) (sqrt x)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1) (/ (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt 1)) (/ (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt 1)) (/ (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1) (/ (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (- (+ 1.0 x) x) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (+ 1.0 x) x) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 1) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 1) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (- (+ 1.0 x) x) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (+ 1.0 x) x) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 1) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 1) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (+ 1.0 x) x)) (/ (- (+ 1.0 x) x) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (- (+ 1.0 x) x) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (+ 1.0 x) x) 1) (/ (- (+ 1.0 x) x) (sqrt 1)) (/ (- (+ 1.0 x) x) (sqrt 1)) (/ (- (+ 1.0 x) x) 1) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (cbrt (- (+ 1.0 x) x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt (- (+ 1.0 x) x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (+ 1.0 x) x)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (+ 1.0 x) x)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (+ 1.0 x) x)) (/ (- (+ 1.0 x) x) (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3))) (/ (- (+ 1.0 x) x) (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x)))) (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (* (+ 1.0 x) (+ 1.0 x)) (+ (* x x) (* (+ 1.0 x) x)))) (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (+ 1.0 x) x)) (expm1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (log1p (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (exp (sqrt (+ 1.0 x))) (exp (sqrt x))) (log (+ (sqrt (+ 1.0 x)) (sqrt x))) (exp (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x)))) (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1.0 1.0 1.0 (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.421 * * [simplify]: iteration 0: 217 enodes 3.527 * * [simplify]: iteration 1: 558 enodes 3.782 * * [simplify]: iteration 2: 1716 enodes 4.711 * * [simplify]: iteration complete: 5000 enodes 4.711 * * [simplify]: Extracting #0: cost 92 inf + 0 4.713 * * [simplify]: Extracting #1: cost 557 inf + 116 4.722 * * [simplify]: Extracting #2: cost 1421 inf + 1825 4.754 * * [simplify]: Extracting #3: cost 1215 inf + 74993 4.844 * * [simplify]: Extracting #4: cost 425 inf + 250150 4.946 * * [simplify]: Extracting #5: cost 95 inf + 347707 5.064 * * [simplify]: Extracting #6: cost 10 inf + 379555 5.173 * * [simplify]: Extracting #7: cost 0 inf + 382410 5.293 * * [simplify]: Extracting #8: cost 0 inf + 382380 5.400 * [simplify]: Simplified to: (- (* (cbrt (+ 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) x) (fma x -1 x) (- (* (cbrt (+ 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) x) (fma x -1 x) (- (* (cbrt (+ 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (- (+ 1.0 x) x) (fma x -1 x) (expm1 (- (+ 1.0 x) x)) (log1p (- (+ 1.0 x) x)) (- x) (- x) (- x) (- x) (exp 1.0) (exp 1.0) (log (- (+ 1.0 x) x)) (exp 1.0) (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (cbrt (- (+ 1.0 x) x)) (* (* (- (+ 1.0 x) x) (- (+ 1.0 x) x)) (- (+ 1.0 x) x)) (sqrt (- (+ 1.0 x) x)) (sqrt (- (+ 1.0 x) x)) (- (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x)) (* x (* x x))) (fma (+ 1.0 x) (+ 1.0 x) (* x (+ x (+ 1.0 x)))) (- x) (- (* (+ 1.0 x) (+ 1.0 x)) (* x x)) (+ x (+ 1.0 x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (+ 1.0 x) x) (- (+ 1.0 x) x) 0 (- x) (expm1 (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log1p (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (cbrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- (- (+ 1.0 x) x)) (- (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ 1.0 x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ x (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (/ (cbrt (- (+ 1.0 x) x)) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (cbrt (- (+ 1.0 x) x)) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (cbrt (- (+ 1.0 x) x)) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (cbrt (- (+ 1.0 x) x)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (/ (cbrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (/ (cbrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (/ (cbrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (/ (cbrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt (- (+ 1.0 x) x)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt (- (+ 1.0 x) x)) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (- (+ 1.0 x) x)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (- (+ 1.0 x) x)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (- (+ 1.0 x) x)) (/ (sqrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (+ 1.0 x) x)) (/ (sqrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (+ 1.0 x) x)) (/ (sqrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (+ 1.0 x) x)) (/ (sqrt (- (+ 1.0 x) x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (/ 1 (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (+ 1.0 x) x) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (+ 1.0 x) x) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1 (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (/ (+ (sqrt (+ 1.0 x)) (sqrt 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(sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (- (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (- (sqrt (+ 1.0 x)) (sqrt x))) (/ (- (+ 1.0 x) x) (fma (sqrt (+ 1.0 x)) (+ 1.0 x) (* x (sqrt x)))) (* 1 1) (* (fma (+ 1.0 x) (+ 1.0 x) (* x (+ x (+ 1.0 x)))) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ x (+ 1.0 x))) (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))) (* (* (+ (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))) (fma (sqrt (+ 1.0 x)) (+ 1.0 x) (* x (sqrt x))) (fma (sqrt x) (- (sqrt x) (sqrt (+ 1.0 x))) (+ 1.0 x)) (- (+ 1.0 x) 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))) (* (+ 1.0 x) (sqrt (+ 1.0 x))) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (sqrt (fma (* 1.0 1.0) 1.0 (* x (* x x)))) (sqrt (fma x (- x 1.0) (* 1.0 1.0))) (sqrt (* (+ 1.0 x) (- 1.0 x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1.0 1.0 1.0 (+ (- (fma (/ (* x x) (pow (sqrt 1.0) 5)) 0.375 (/ 1.0 (sqrt 1.0))) (fma (/ 0.5 (sqrt 1.0)) (/ x 1.0) (+ (* +nan.0 (- (* (/ x 1.0) (/ x 1.0)) (/ x 1.0))) (* (/ (* x x) 1.0) +nan.0)))) (* (/ (* (/ x 1.0) x) (sqrt 1.0)) +nan.0)) (+ (- (/ +nan.0 (* x x))) (- (/ +nan.0 x) +nan.0)) (+ (- (/ +nan.0 (* x x))) (- (/ +nan.0 x) +nan.0)) (+ (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0)) (fma -1/8 (/ (* (/ x 1.0) x) (sqrt 1.0)) (* +nan.0 (- (* x x) x)))) (+ (- (/ +nan.0 (* x x))) (- (/ +nan.0 x) +nan.0)) (+ (- (/ +nan.0 (* x x))) (- (/ +nan.0 x) +nan.0)) (fma (* (/ x 1.0) (- (/ x (sqrt 1.0)))) 1/8 (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0))) (+ (- (/ +nan.0 (* x x))) (- (/ +nan.0 x) +nan.0)) (+ (- (/ +nan.0 (* x x))) (- (/ +nan.0 x) +nan.0)) 5.411 * * * [progress]: adding candidates to table 6.035 * * [progress]: iteration 3 / 4 6.035 * * * [progress]: picking best candidate 6.049 * * * * [pick]: Picked # 6.049 * * * [progress]: localizing error 6.065 * * * [progress]: generating rewritten candidates 6.065 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 6.138 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 6.195 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 6.214 * * * [progress]: generating series expansions 6.214 * * * * [progress]: [ 1 / 3 ] generating series at (2) 6.214 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 6.214 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 6.214 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 6.214 * [taylor]: Taking taylor expansion of 1.0 in x 6.214 * [backup-simplify]: Simplify 1.0 into 1.0 6.215 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.215 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.215 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.215 * [taylor]: Taking taylor expansion of x in x 6.215 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify 1 into 1 6.215 * [taylor]: Taking taylor expansion of 1.0 in x 6.215 * [backup-simplify]: Simplify 1.0 into 1.0 6.216 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.216 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.217 * [backup-simplify]: Simplify (+ 1 0) into 1 6.219 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.219 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.219 * [taylor]: Taking taylor expansion of x in x 6.219 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify 1 into 1 6.219 * [backup-simplify]: Simplify (sqrt 0) into 0 6.221 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.222 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 6.223 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 6.223 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 6.223 * [taylor]: Taking taylor expansion of 1.0 in x 6.223 * [backup-simplify]: Simplify 1.0 into 1.0 6.223 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.223 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.224 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.224 * [taylor]: Taking taylor expansion of x in x 6.224 * [backup-simplify]: Simplify 0 into 0 6.224 * [backup-simplify]: Simplify 1 into 1 6.224 * [taylor]: Taking taylor expansion of 1.0 in x 6.224 * [backup-simplify]: Simplify 1.0 into 1.0 6.224 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.225 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.225 * [backup-simplify]: Simplify (+ 1 0) into 1 6.227 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.227 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.227 * [taylor]: Taking taylor expansion of x in x 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify 1 into 1 6.227 * [backup-simplify]: Simplify (sqrt 0) into 0 6.229 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.230 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 6.231 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 6.232 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 6.234 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 6.245 * [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)))))) 6.256 * [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)))))) 6.256 * [backup-simplify]: Simplify (+ 0 0) into 0 6.262 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.265 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.268 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 6.304 * [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)))))))) 6.318 * [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)))))))) 6.347 * [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)))))))))))) 6.348 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 6.348 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 6.348 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 6.348 * [taylor]: Taking taylor expansion of 1.0 in x 6.348 * [backup-simplify]: Simplify 1.0 into 1.0 6.348 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 6.348 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.348 * [taylor]: Taking taylor expansion of x in x 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 1 into 1 6.348 * [backup-simplify]: Simplify (/ 1 1) into 1 6.349 * [backup-simplify]: Simplify (sqrt 0) into 0 6.350 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.350 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.350 * [taylor]: Taking taylor expansion of x in x 6.350 * [backup-simplify]: Simplify 0 into 0 6.350 * [backup-simplify]: Simplify 1 into 1 6.351 * [backup-simplify]: Simplify (/ 1 1) into 1 6.351 * [taylor]: Taking taylor expansion of 1.0 in x 6.351 * [backup-simplify]: Simplify 1.0 into 1.0 6.351 * [backup-simplify]: Simplify (+ 1 0) into 1 6.352 * [backup-simplify]: Simplify (sqrt 0) into 0 6.353 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.353 * [backup-simplify]: Simplify (+ 0 0) into 0 6.354 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.354 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 6.355 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 6.355 * [taylor]: Taking taylor expansion of 1.0 in x 6.355 * [backup-simplify]: Simplify 1.0 into 1.0 6.355 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 6.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.355 * [taylor]: Taking taylor expansion of x in x 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify 1 into 1 6.355 * [backup-simplify]: Simplify (/ 1 1) into 1 6.356 * [backup-simplify]: Simplify (sqrt 0) into 0 6.357 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.357 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.357 * [taylor]: Taking taylor expansion of x in x 6.357 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify 1 into 1 6.357 * [backup-simplify]: Simplify (/ 1 1) into 1 6.357 * [taylor]: Taking taylor expansion of 1.0 in x 6.357 * [backup-simplify]: Simplify 1.0 into 1.0 6.358 * [backup-simplify]: Simplify (+ 1 0) into 1 6.358 * [backup-simplify]: Simplify (sqrt 0) into 0 6.360 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.360 * [backup-simplify]: Simplify (+ 0 0) into 0 6.360 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.361 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 6.361 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.365 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.366 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.369 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.370 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.373 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.374 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.380 * [backup-simplify]: Simplify (+ 0 0) into 0 6.384 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.385 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.391 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.391 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.393 * [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))))) 6.393 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 6.393 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 6.393 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 6.393 * [taylor]: Taking taylor expansion of 1.0 in x 6.393 * [backup-simplify]: Simplify 1.0 into 1.0 6.393 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 6.393 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.393 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.393 * [taylor]: Taking taylor expansion of -1 in x 6.393 * [backup-simplify]: Simplify -1 into -1 6.393 * [taylor]: Taking taylor expansion of x in x 6.393 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify 1 into 1 6.394 * [backup-simplify]: Simplify (/ -1 1) into -1 6.394 * [backup-simplify]: Simplify (sqrt 0) into 0 6.395 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.395 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.395 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.395 * [taylor]: Taking taylor expansion of 1.0 in x 6.395 * [backup-simplify]: Simplify 1.0 into 1.0 6.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.395 * [taylor]: Taking taylor expansion of x in x 6.395 * [backup-simplify]: Simplify 0 into 0 6.395 * [backup-simplify]: Simplify 1 into 1 6.396 * [backup-simplify]: Simplify (/ 1 1) into 1 6.396 * [backup-simplify]: Simplify (- 1) into -1 6.397 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.397 * [backup-simplify]: Simplify (sqrt 0) into 0 6.398 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.398 * [backup-simplify]: Simplify (+ 0 0) into 0 6.399 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.400 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 6.400 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 6.400 * [taylor]: Taking taylor expansion of 1.0 in x 6.400 * [backup-simplify]: Simplify 1.0 into 1.0 6.400 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 6.400 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.400 * [taylor]: Taking taylor expansion of -1 in x 6.400 * [backup-simplify]: Simplify -1 into -1 6.400 * [taylor]: Taking taylor expansion of x in x 6.400 * [backup-simplify]: Simplify 0 into 0 6.400 * [backup-simplify]: Simplify 1 into 1 6.400 * [backup-simplify]: Simplify (/ -1 1) into -1 6.401 * [backup-simplify]: Simplify (sqrt 0) into 0 6.402 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.402 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.402 * [taylor]: Taking taylor expansion of 1.0 in x 6.402 * [backup-simplify]: Simplify 1.0 into 1.0 6.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.402 * [taylor]: Taking taylor expansion of x in x 6.402 * [backup-simplify]: Simplify 0 into 0 6.402 * [backup-simplify]: Simplify 1 into 1 6.402 * [backup-simplify]: Simplify (/ 1 1) into 1 6.403 * [backup-simplify]: Simplify (- 1) into -1 6.403 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.404 * [backup-simplify]: Simplify (sqrt 0) into 0 6.405 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.405 * [backup-simplify]: Simplify (+ 0 0) into 0 6.405 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.406 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 6.406 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.410 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.411 * [backup-simplify]: Simplify (- 0) into 0 6.412 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.414 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.414 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.416 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.417 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.420 * [backup-simplify]: Simplify (- 0) into 0 6.420 * [backup-simplify]: Simplify (+ 0 0) into 0 6.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.423 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.427 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.427 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.428 * [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))))) 6.428 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 6.428 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 x)) (sqrt x)) into (+ (sqrt (+ x 1.0)) (sqrt x)) 6.428 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 6.428 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.428 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.428 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.428 * [taylor]: Taking taylor expansion of x in x 6.428 * [backup-simplify]: Simplify 0 into 0 6.428 * [backup-simplify]: Simplify 1 into 1 6.428 * [taylor]: Taking taylor expansion of 1.0 in x 6.428 * [backup-simplify]: Simplify 1.0 into 1.0 6.429 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.429 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.429 * [backup-simplify]: Simplify (+ 1 0) into 1 6.430 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.430 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.430 * [taylor]: Taking taylor expansion of x in x 6.430 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify 1 into 1 6.430 * [backup-simplify]: Simplify (sqrt 0) into 0 6.431 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.431 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.431 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.431 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.431 * [taylor]: Taking taylor expansion of x in x 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify 1 into 1 6.431 * [taylor]: Taking taylor expansion of 1.0 in x 6.431 * [backup-simplify]: Simplify 1.0 into 1.0 6.432 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.432 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.432 * [backup-simplify]: Simplify (+ 1 0) into 1 6.434 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.434 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.434 * [taylor]: Taking taylor expansion of x in x 6.434 * [backup-simplify]: Simplify 0 into 0 6.434 * [backup-simplify]: Simplify 1 into 1 6.434 * [backup-simplify]: Simplify (sqrt 0) into 0 6.435 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.436 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 6.436 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.437 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 6.438 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 6.439 * [backup-simplify]: Simplify (+ 0 0) into 0 6.442 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.445 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.448 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 6.456 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 6.461 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (pow x 2)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) 6.462 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) into (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) 6.462 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 6.462 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 6.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.462 * [taylor]: Taking taylor expansion of x in x 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 1 into 1 6.462 * [backup-simplify]: Simplify (/ 1 1) into 1 6.462 * [backup-simplify]: Simplify (sqrt 0) into 0 6.463 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.463 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.463 * [taylor]: Taking taylor expansion of x in x 6.463 * [backup-simplify]: Simplify 0 into 0 6.463 * [backup-simplify]: Simplify 1 into 1 6.463 * [backup-simplify]: Simplify (/ 1 1) into 1 6.463 * [taylor]: Taking taylor expansion of 1.0 in x 6.463 * [backup-simplify]: Simplify 1.0 into 1.0 6.464 * [backup-simplify]: Simplify (+ 1 0) into 1 6.464 * [backup-simplify]: Simplify (sqrt 0) into 0 6.465 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.465 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 6.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.465 * [taylor]: Taking taylor expansion of x in x 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 1 into 1 6.465 * [backup-simplify]: Simplify (/ 1 1) into 1 6.465 * [backup-simplify]: Simplify (sqrt 0) into 0 6.466 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.466 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.466 * [taylor]: Taking taylor expansion of x in x 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.466 * [backup-simplify]: Simplify (/ 1 1) into 1 6.466 * [taylor]: Taking taylor expansion of 1.0 in x 6.466 * [backup-simplify]: Simplify 1.0 into 1.0 6.467 * [backup-simplify]: Simplify (+ 1 0) into 1 6.467 * [backup-simplify]: Simplify (sqrt 0) into 0 6.468 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.468 * [backup-simplify]: Simplify (+ 0 0) into 0 6.468 * [backup-simplify]: Simplify 0 into 0 6.468 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.468 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.471 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.471 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.473 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.473 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.474 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.477 * [backup-simplify]: Simplify (+ 0 0) into 0 6.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.480 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.480 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.481 * [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))))) 6.481 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) into (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 6.481 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 6.481 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 6.481 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.481 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.481 * [taylor]: Taking taylor expansion of -1 in x 6.481 * [backup-simplify]: Simplify -1 into -1 6.481 * [taylor]: Taking taylor expansion of x in x 6.481 * [backup-simplify]: Simplify 0 into 0 6.481 * [backup-simplify]: Simplify 1 into 1 6.481 * [backup-simplify]: Simplify (/ -1 1) into -1 6.482 * [backup-simplify]: Simplify (sqrt 0) into 0 6.482 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.482 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.482 * [taylor]: Taking taylor expansion of 1.0 in x 6.482 * [backup-simplify]: Simplify 1.0 into 1.0 6.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.482 * [taylor]: Taking taylor expansion of x in x 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify 1 into 1 6.483 * [backup-simplify]: Simplify (/ 1 1) into 1 6.483 * [backup-simplify]: Simplify (- 1) into -1 6.483 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.483 * [backup-simplify]: Simplify (sqrt 0) into 0 6.484 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.484 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 6.484 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.484 * [taylor]: Taking taylor expansion of -1 in x 6.484 * [backup-simplify]: Simplify -1 into -1 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 6.485 * [backup-simplify]: Simplify (/ -1 1) into -1 6.485 * [backup-simplify]: Simplify (sqrt 0) into 0 6.486 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.486 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.486 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.486 * [taylor]: Taking taylor expansion of 1.0 in x 6.486 * [backup-simplify]: Simplify 1.0 into 1.0 6.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.487 * [taylor]: Taking taylor expansion of x in x 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify 1 into 1 6.487 * [backup-simplify]: Simplify (/ 1 1) into 1 6.488 * [backup-simplify]: Simplify (- 1) into -1 6.488 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.488 * [backup-simplify]: Simplify (sqrt 0) into 0 6.490 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.490 * [backup-simplify]: Simplify (+ 0 0) into 0 6.490 * [backup-simplify]: Simplify 0 into 0 6.490 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.491 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.495 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.496 * [backup-simplify]: Simplify (- 0) into 0 6.496 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.498 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.499 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.499 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.503 * [backup-simplify]: Simplify (- 0) into 0 6.503 * [backup-simplify]: Simplify (+ 0 0) into 0 6.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.505 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.506 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.507 * [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))))) 6.507 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 6.507 * [backup-simplify]: Simplify (sqrt (+ 1.0 x)) into (sqrt (+ x 1.0)) 6.507 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 6.507 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.507 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.507 * [taylor]: Taking taylor expansion of x in x 6.507 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify 1 into 1 6.507 * [taylor]: Taking taylor expansion of 1.0 in x 6.507 * [backup-simplify]: Simplify 1.0 into 1.0 6.507 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.508 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.508 * [backup-simplify]: Simplify (+ 1 0) into 1 6.509 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.509 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.509 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.509 * [taylor]: Taking taylor expansion of x in x 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify 1 into 1 6.509 * [taylor]: Taking taylor expansion of 1.0 in x 6.509 * [backup-simplify]: Simplify 1.0 into 1.0 6.509 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.509 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.510 * [backup-simplify]: Simplify (+ 1 0) into 1 6.511 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.511 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.511 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 6.512 * [backup-simplify]: Simplify (+ 0 0) into 0 6.515 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.516 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.518 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 6.518 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 x))) into (sqrt (+ (/ 1 x) 1.0)) 6.518 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 6.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.518 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.518 * [taylor]: Taking taylor expansion of (/ 1 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 6.518 * [backup-simplify]: Simplify (/ 1 1) into 1 6.518 * [taylor]: Taking taylor expansion of 1.0 in x 6.518 * [backup-simplify]: Simplify 1.0 into 1.0 6.518 * [backup-simplify]: Simplify (+ 1 0) 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 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.520 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.520 * [taylor]: Taking taylor expansion of x in x 6.520 * [backup-simplify]: Simplify 0 into 0 6.520 * [backup-simplify]: Simplify 1 into 1 6.520 * [backup-simplify]: Simplify (/ 1 1) into 1 6.520 * [taylor]: Taking taylor expansion of 1.0 in x 6.520 * [backup-simplify]: Simplify 1.0 into 1.0 6.520 * [backup-simplify]: Simplify (+ 1 0) into 1 6.520 * [backup-simplify]: Simplify (sqrt 0) into 0 6.521 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.521 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.522 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.524 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.524 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.525 * [backup-simplify]: Simplify (+ 0 0) into 0 6.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.528 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.529 * [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))))) 6.529 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 (- x)))) into (sqrt (- 1.0 (/ 1 x))) 6.529 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 6.529 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.529 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.529 * [taylor]: Taking taylor expansion of 1.0 in x 6.529 * [backup-simplify]: Simplify 1.0 into 1.0 6.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.529 * [taylor]: Taking taylor expansion of x in x 6.529 * [backup-simplify]: Simplify 0 into 0 6.529 * [backup-simplify]: Simplify 1 into 1 6.530 * [backup-simplify]: Simplify (/ 1 1) into 1 6.530 * [backup-simplify]: Simplify (- 1) into -1 6.530 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.531 * [backup-simplify]: Simplify (sqrt 0) into 0 6.532 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.532 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.532 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.532 * [taylor]: Taking taylor expansion of 1.0 in x 6.532 * [backup-simplify]: Simplify 1.0 into 1.0 6.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.532 * [taylor]: Taking taylor expansion of x in x 6.532 * [backup-simplify]: Simplify 0 into 0 6.532 * [backup-simplify]: Simplify 1 into 1 6.532 * [backup-simplify]: Simplify (/ 1 1) into 1 6.533 * [backup-simplify]: Simplify (- 1) into -1 6.533 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.534 * [backup-simplify]: Simplify (sqrt 0) into 0 6.535 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.536 * [backup-simplify]: Simplify (- 0) into 0 6.537 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.540 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.540 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.541 * [backup-simplify]: Simplify (- 0) into 0 6.542 * [backup-simplify]: Simplify (+ 0 0) into 0 6.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.546 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.546 * [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))))) 6.546 * * * [progress]: simplifying candidates 6.549 * [simplify]: Simplifying: (expm1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log1p (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- (log 1.0) (log (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (* (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- 1.0) (- (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 1) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 1) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 1) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt 1)) (/ 1.0 1) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ 1.0 (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3))) (/ 1.0 (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x)))) (expm1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (log1p (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (exp (sqrt (+ 1.0 x))) (exp (sqrt x))) (log (+ (sqrt (+ 1.0 x)) (sqrt x))) (exp (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x)))) (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 6.552 * * [simplify]: iteration 0: 162 enodes 6.629 * * [simplify]: iteration 1: 394 enodes 6.774 * * [simplify]: iteration 2: 1182 enodes 7.701 * * [simplify]: iteration 3: 4094 enodes 8.581 * * [simplify]: iteration complete: 5000 enodes 8.581 * * [simplify]: Extracting #0: cost 68 inf + 0 8.583 * * [simplify]: Extracting #1: cost 407 inf + 44 8.592 * * [simplify]: Extracting #2: cost 1035 inf + 2784 8.629 * * [simplify]: Extracting #3: cost 889 inf + 67725 8.717 * * [simplify]: Extracting #4: cost 162 inf + 233504 8.794 * * [simplify]: Extracting #5: cost 24 inf + 277666 8.882 * * [simplify]: Extracting #6: cost 0 inf + 287525 8.963 * * [simplify]: Extracting #7: cost 0 inf + 287390 9.043 * [simplify]: Simplified to: (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 1.0) (- (- (sqrt x)) (sqrt (+ x 1.0))) (* (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (fma (sqrt (+ x 1.0)) (+ x 1.0) (* x (sqrt x)))) (/ 1.0 (- (+ x 1.0) x)) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (fma (sqrt (+ x 1.0)) (+ x 1.0) (* x (sqrt x))) (fma (- (sqrt x) (sqrt (+ x 1.0))) (sqrt x) (+ x 1.0)) (- (+ x 1.0) x) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (+ x 1.0) (sqrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (fma x (* x x) (* 1.0 (* 1.0 1.0)))) (sqrt (fma x (- x 1.0) (* 1.0 1.0))) (sqrt (* (+ x 1.0) (- 1.0 x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (fma 0.375 (/ (* x x) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0))) (/ (* x 0.5) (* 1.0 (sqrt 1.0)))) (fma +nan.0 (- (/ (* x x) (* 1.0 (sqrt 1.0))) (* (/ x 1.0) (/ x 1.0))) (* +nan.0 (- (/ x 1.0) (/ (* x x) 1.0))))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) (+ (fma 1/2 (/ x (sqrt 1.0)) (/ (* (* x x) -1/8) (* 1.0 (sqrt 1.0)))) (fma +nan.0 (- (* x x) x) (sqrt 1.0))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) (fma -1/8 (/ (* x x) (* 1.0 (sqrt 1.0))) (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) 9.047 * * * [progress]: adding candidates to table 9.442 * * [progress]: iteration 4 / 4 9.442 * * * [progress]: picking best candidate 9.488 * * * * [pick]: Picked # 9.488 * * * [progress]: localizing error 9.504 * * * [progress]: generating rewritten candidates 9.504 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 9.561 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 9.610 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 9.625 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 9.650 * * * [progress]: generating series expansions 9.650 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 9.650 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) into (sqrt (+ x 1.0)) 9.650 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 9.650 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 9.650 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 9.650 * [taylor]: Taking taylor expansion of x in x 9.650 * [backup-simplify]: Simplify 0 into 0 9.650 * [backup-simplify]: Simplify 1 into 1 9.650 * [taylor]: Taking taylor expansion of 1.0 in x 9.650 * [backup-simplify]: Simplify 1.0 into 1.0 9.651 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.652 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.652 * [backup-simplify]: Simplify (+ 1 0) into 1 9.654 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 9.654 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 9.654 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 9.654 * [taylor]: Taking taylor expansion of x in x 9.654 * [backup-simplify]: Simplify 0 into 0 9.654 * [backup-simplify]: Simplify 1 into 1 9.654 * [taylor]: Taking taylor expansion of 1.0 in x 9.654 * [backup-simplify]: Simplify 1.0 into 1.0 9.654 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.655 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.655 * [backup-simplify]: Simplify (+ 1 0) into 1 9.657 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 9.657 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.657 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 9.658 * [backup-simplify]: Simplify (+ 0 0) into 0 9.661 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 9.662 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 9.664 * [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)))) 9.664 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ 1.0 (/ 1 x)))) (sqrt (sqrt (+ 1.0 (/ 1 x))))) into (sqrt (+ (/ 1 x) 1.0)) 9.664 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 9.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 9.664 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 9.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.664 * [taylor]: Taking taylor expansion of x in x 9.664 * [backup-simplify]: Simplify 0 into 0 9.664 * [backup-simplify]: Simplify 1 into 1 9.665 * [backup-simplify]: Simplify (/ 1 1) into 1 9.665 * [taylor]: Taking taylor expansion of 1.0 in x 9.665 * [backup-simplify]: Simplify 1.0 into 1.0 9.665 * [backup-simplify]: Simplify (+ 1 0) into 1 9.665 * [backup-simplify]: Simplify (sqrt 0) into 0 9.666 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 9.666 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 9.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.666 * [taylor]: Taking taylor expansion of x in x 9.666 * [backup-simplify]: Simplify 0 into 0 9.666 * [backup-simplify]: Simplify 1 into 1 9.666 * [backup-simplify]: Simplify (/ 1 1) into 1 9.666 * [taylor]: Taking taylor expansion of 1.0 in x 9.666 * [backup-simplify]: Simplify 1.0 into 1.0 9.667 * [backup-simplify]: Simplify (+ 1 0) into 1 9.667 * [backup-simplify]: Simplify (sqrt 0) into 0 9.668 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.668 * [backup-simplify]: Simplify 0 into 0 9.668 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.668 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.670 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.670 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.671 * [backup-simplify]: Simplify (+ 0 0) into 0 9.673 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.673 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.674 * [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))))) 9.674 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ 1.0 (/ 1 (- x))))) (sqrt (sqrt (+ 1.0 (/ 1 (- x)))))) into (sqrt (- 1.0 (/ 1 x))) 9.674 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 9.674 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 9.674 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 9.674 * [taylor]: Taking taylor expansion of 1.0 in x 9.674 * [backup-simplify]: Simplify 1.0 into 1.0 9.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.674 * [taylor]: Taking taylor expansion of x in x 9.674 * [backup-simplify]: Simplify 0 into 0 9.674 * [backup-simplify]: Simplify 1 into 1 9.674 * [backup-simplify]: Simplify (/ 1 1) into 1 9.674 * [backup-simplify]: Simplify (- 1) into -1 9.675 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.675 * [backup-simplify]: Simplify (sqrt 0) into 0 9.676 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.676 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 9.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 9.676 * [taylor]: Taking taylor expansion of 1.0 in x 9.676 * [backup-simplify]: Simplify 1.0 into 1.0 9.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.676 * [taylor]: Taking taylor expansion of x in x 9.676 * [backup-simplify]: Simplify 0 into 0 9.676 * [backup-simplify]: Simplify 1 into 1 9.676 * [backup-simplify]: Simplify (/ 1 1) into 1 9.676 * [backup-simplify]: Simplify (- 1) into -1 9.677 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.677 * [backup-simplify]: Simplify (sqrt 0) into 0 9.678 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.678 * [backup-simplify]: Simplify 0 into 0 9.678 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.678 * [backup-simplify]: Simplify (- 0) into 0 9.679 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.680 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.681 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.681 * [backup-simplify]: Simplify (- 0) into 0 9.681 * [backup-simplify]: Simplify (+ 0 0) into 0 9.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.684 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.684 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 9.684 * * * * [progress]: [ 2 / 4 ] generating series at (2) 9.684 * [backup-simplify]: Simplify (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 9.684 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 9.684 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 9.684 * [taylor]: Taking taylor expansion of 1.0 in x 9.684 * [backup-simplify]: Simplify 1.0 into 1.0 9.684 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 9.684 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 9.684 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 9.685 * [taylor]: Taking taylor expansion of x in x 9.685 * [backup-simplify]: Simplify 0 into 0 9.685 * [backup-simplify]: Simplify 1 into 1 9.685 * [taylor]: Taking taylor expansion of 1.0 in x 9.685 * [backup-simplify]: Simplify 1.0 into 1.0 9.685 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.685 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.686 * [backup-simplify]: Simplify (+ 1 0) into 1 9.688 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 9.688 * [taylor]: Taking taylor expansion of (sqrt x) in x 9.688 * [taylor]: Taking taylor expansion of x in x 9.688 * [backup-simplify]: Simplify 0 into 0 9.688 * [backup-simplify]: Simplify 1 into 1 9.688 * [backup-simplify]: Simplify (sqrt 0) into 0 9.689 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.690 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 9.691 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 9.691 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 9.691 * [taylor]: Taking taylor expansion of 1.0 in x 9.691 * [backup-simplify]: Simplify 1.0 into 1.0 9.691 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 9.691 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 9.691 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 9.691 * [taylor]: Taking taylor expansion of x in x 9.691 * [backup-simplify]: Simplify 0 into 0 9.691 * [backup-simplify]: Simplify 1 into 1 9.691 * [taylor]: Taking taylor expansion of 1.0 in x 9.691 * [backup-simplify]: Simplify 1.0 into 1.0 9.692 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.692 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.693 * [backup-simplify]: Simplify (+ 1 0) into 1 9.694 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 9.694 * [taylor]: Taking taylor expansion of (sqrt x) in x 9.694 * [taylor]: Taking taylor expansion of x in x 9.694 * [backup-simplify]: Simplify 0 into 0 9.694 * [backup-simplify]: Simplify 1 into 1 9.695 * [backup-simplify]: Simplify (sqrt 0) into 0 9.696 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.697 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 9.698 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 9.699 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 9.700 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 9.710 * [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)))))) 9.721 * [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)))))) 9.722 * [backup-simplify]: Simplify (+ 0 0) into 0 9.727 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 9.730 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.737 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 9.779 * [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)))))))) 9.795 * [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)))))))) 9.821 * [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)))))))))))) 9.821 * [backup-simplify]: Simplify (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 (/ 1 x)))) (sqrt (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 9.821 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 9.821 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 9.821 * [taylor]: Taking taylor expansion of 1.0 in x 9.822 * [backup-simplify]: Simplify 1.0 into 1.0 9.822 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 9.822 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 9.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.822 * [taylor]: Taking taylor expansion of x in x 9.822 * [backup-simplify]: Simplify 0 into 0 9.822 * [backup-simplify]: Simplify 1 into 1 9.822 * [backup-simplify]: Simplify (/ 1 1) into 1 9.823 * [backup-simplify]: Simplify (sqrt 0) into 0 9.824 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 9.824 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 9.824 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.824 * [taylor]: Taking taylor expansion of x in x 9.824 * [backup-simplify]: Simplify 0 into 0 9.824 * [backup-simplify]: Simplify 1 into 1 9.825 * [backup-simplify]: Simplify (/ 1 1) into 1 9.825 * [taylor]: Taking taylor expansion of 1.0 in x 9.825 * [backup-simplify]: Simplify 1.0 into 1.0 9.825 * [backup-simplify]: Simplify (+ 1 0) into 1 9.825 * [backup-simplify]: Simplify (sqrt 0) into 0 9.827 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.827 * [backup-simplify]: Simplify (+ 0 0) into 0 9.828 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.829 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 9.829 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 9.829 * [taylor]: Taking taylor expansion of 1.0 in x 9.829 * [backup-simplify]: Simplify 1.0 into 1.0 9.829 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 9.829 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 9.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.829 * [taylor]: Taking taylor expansion of x in x 9.829 * [backup-simplify]: Simplify 0 into 0 9.829 * [backup-simplify]: Simplify 1 into 1 9.829 * [backup-simplify]: Simplify (/ 1 1) into 1 9.830 * [backup-simplify]: Simplify (sqrt 0) into 0 9.831 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 9.831 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 9.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.831 * [taylor]: Taking taylor expansion of x in x 9.831 * [backup-simplify]: Simplify 0 into 0 9.831 * [backup-simplify]: Simplify 1 into 1 9.831 * [backup-simplify]: Simplify (/ 1 1) into 1 9.831 * [taylor]: Taking taylor expansion of 1.0 in x 9.832 * [backup-simplify]: Simplify 1.0 into 1.0 9.832 * [backup-simplify]: Simplify (+ 1 0) into 1 9.832 * [backup-simplify]: Simplify (sqrt 0) into 0 9.834 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.834 * [backup-simplify]: Simplify (+ 0 0) into 0 9.834 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.835 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 9.835 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.839 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.841 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.844 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.844 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.848 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 9.849 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.854 * [backup-simplify]: Simplify (+ 0 0) into 0 9.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.858 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.861 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 9.862 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.862 * [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))))) 9.863 * [backup-simplify]: Simplify (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 (/ 1 (- x))))) (sqrt (sqrt (+ 1.0 (/ 1 (- x)))))) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 9.863 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 9.863 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 9.863 * [taylor]: Taking taylor expansion of 1.0 in x 9.863 * [backup-simplify]: Simplify 1.0 into 1.0 9.863 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 9.863 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 9.863 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.863 * [taylor]: Taking taylor expansion of -1 in x 9.863 * [backup-simplify]: Simplify -1 into -1 9.863 * [taylor]: Taking taylor expansion of x in x 9.863 * [backup-simplify]: Simplify 0 into 0 9.863 * [backup-simplify]: Simplify 1 into 1 9.863 * [backup-simplify]: Simplify (/ -1 1) into -1 9.863 * [backup-simplify]: Simplify (sqrt 0) into 0 9.864 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.864 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 9.864 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 9.864 * [taylor]: Taking taylor expansion of 1.0 in x 9.864 * [backup-simplify]: Simplify 1.0 into 1.0 9.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.864 * [taylor]: Taking taylor expansion of x in x 9.864 * [backup-simplify]: Simplify 0 into 0 9.864 * [backup-simplify]: Simplify 1 into 1 9.864 * [backup-simplify]: Simplify (/ 1 1) into 1 9.865 * [backup-simplify]: Simplify (- 1) into -1 9.865 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.865 * [backup-simplify]: Simplify (sqrt 0) into 0 9.866 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.866 * [backup-simplify]: Simplify (+ 0 0) into 0 9.866 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.867 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 9.867 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 9.867 * [taylor]: Taking taylor expansion of 1.0 in x 9.867 * [backup-simplify]: Simplify 1.0 into 1.0 9.867 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 9.867 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 9.867 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.867 * [taylor]: Taking taylor expansion of -1 in x 9.867 * [backup-simplify]: Simplify -1 into -1 9.867 * [taylor]: Taking taylor expansion of x in x 9.867 * [backup-simplify]: Simplify 0 into 0 9.867 * [backup-simplify]: Simplify 1 into 1 9.867 * [backup-simplify]: Simplify (/ -1 1) into -1 9.868 * [backup-simplify]: Simplify (sqrt 0) into 0 9.868 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.868 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 9.868 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 9.868 * [taylor]: Taking taylor expansion of 1.0 in x 9.869 * [backup-simplify]: Simplify 1.0 into 1.0 9.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.869 * [taylor]: Taking taylor expansion of x in x 9.869 * [backup-simplify]: Simplify 0 into 0 9.869 * [backup-simplify]: Simplify 1 into 1 9.869 * [backup-simplify]: Simplify (/ 1 1) into 1 9.869 * [backup-simplify]: Simplify (- 1) into -1 9.869 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.870 * [backup-simplify]: Simplify (sqrt 0) into 0 9.870 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.870 * [backup-simplify]: Simplify (+ 0 0) into 0 9.871 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.871 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 9.871 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.874 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.874 * [backup-simplify]: Simplify (- 0) into 0 9.875 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.876 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.877 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.879 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 9.879 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.883 * [backup-simplify]: Simplify (- 0) into 0 9.883 * [backup-simplify]: Simplify (+ 0 0) into 0 9.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.886 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.893 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 9.893 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.894 * [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))))) 9.894 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 9.894 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 x))) into (pow (+ x 1.0) 1/4) 9.894 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 9.895 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 9.895 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 9.895 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 9.895 * [taylor]: Taking taylor expansion of 1/4 in x 9.895 * [backup-simplify]: Simplify 1/4 into 1/4 9.895 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 9.895 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 9.895 * [taylor]: Taking taylor expansion of x in x 9.895 * [backup-simplify]: Simplify 0 into 0 9.895 * [backup-simplify]: Simplify 1 into 1 9.895 * [taylor]: Taking taylor expansion of 1.0 in x 9.895 * [backup-simplify]: Simplify 1.0 into 1.0 9.895 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.896 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.897 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 9.898 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 9.899 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 9.899 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 9.899 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 9.899 * [taylor]: Taking taylor expansion of 1/4 in x 9.899 * [backup-simplify]: Simplify 1/4 into 1/4 9.899 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 9.899 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 9.899 * [taylor]: Taking taylor expansion of x in x 9.899 * [backup-simplify]: Simplify 0 into 0 9.899 * [backup-simplify]: Simplify 1 into 1 9.899 * [taylor]: Taking taylor expansion of 1.0 in x 9.899 * [backup-simplify]: Simplify 1.0 into 1.0 9.899 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.900 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.901 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 9.901 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 9.902 * [backup-simplify]: Simplify (pow 1.0 1/4) into (pow 1.0 1/4) 9.902 * [backup-simplify]: Simplify (+ 1 0) into 1 9.905 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.906 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (log 1.0))) into 0.25 9.909 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow 1.0 1/4)) 9.910 * [backup-simplify]: Simplify (* 0.25 (pow 1.0 1/4)) into (* 0.25 (pow 1.0 1/4)) 9.910 * [backup-simplify]: Simplify (+ 0 0) into 0 9.916 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 9.918 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 9.928 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 9.931 * [backup-simplify]: Simplify (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 9.935 * [backup-simplify]: Simplify (+ (* (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) (pow x 2)) (+ (* (* 0.25 (pow 1.0 1/4)) x) (pow 1.0 1/4))) into (- (+ (pow 1.0 1/4) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (* 0.25 (* x (pow 1.0 1/4))))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) 9.935 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 (/ 1 x)))) into (pow (+ (/ 1 x) 1.0) 1/4) 9.935 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/4) in (x) around 0 9.935 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/4) in x 9.935 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 x) 1.0)))) in x 9.935 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 x) 1.0))) in x 9.935 * [taylor]: Taking taylor expansion of 1/4 in x 9.935 * [backup-simplify]: Simplify 1/4 into 1/4 9.935 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 9.935 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 9.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.935 * [taylor]: Taking taylor expansion of x in x 9.935 * [backup-simplify]: Simplify 0 into 0 9.935 * [backup-simplify]: Simplify 1 into 1 9.935 * [backup-simplify]: Simplify (/ 1 1) into 1 9.935 * [taylor]: Taking taylor expansion of 1.0 in x 9.935 * [backup-simplify]: Simplify 1.0 into 1.0 9.936 * [backup-simplify]: Simplify (+ 1 0) into 1 9.936 * [backup-simplify]: Simplify (log 1) into 0 9.936 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 9.936 * [backup-simplify]: Simplify (* 1/4 (- (log x))) into (* -1/4 (log x)) 9.936 * [backup-simplify]: Simplify (exp (* -1/4 (log x))) into (pow x -1/4) 9.936 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/4) in x 9.936 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 x) 1.0)))) in x 9.936 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 x) 1.0))) in x 9.936 * [taylor]: Taking taylor expansion of 1/4 in x 9.936 * [backup-simplify]: Simplify 1/4 into 1/4 9.936 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 9.936 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 9.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.936 * [taylor]: Taking taylor expansion of x in x 9.937 * [backup-simplify]: Simplify 0 into 0 9.937 * [backup-simplify]: Simplify 1 into 1 9.937 * [backup-simplify]: Simplify (/ 1 1) into 1 9.937 * [taylor]: Taking taylor expansion of 1.0 in x 9.937 * [backup-simplify]: Simplify 1.0 into 1.0 9.937 * [backup-simplify]: Simplify (+ 1 0) into 1 9.937 * [backup-simplify]: Simplify (log 1) into 0 9.938 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 9.938 * [backup-simplify]: Simplify (* 1/4 (- (log x))) into (* -1/4 (log x)) 9.938 * [backup-simplify]: Simplify (exp (* -1/4 (log x))) into (pow x -1/4) 9.938 * [backup-simplify]: Simplify (pow x -1/4) into (pow x -1/4) 9.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.939 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.942 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 9.943 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log x)))) into 0.25 9.944 * [backup-simplify]: Simplify (* (exp (* -1/4 (log x))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow (/ 1 x) 1/4)) 9.944 * [backup-simplify]: Simplify (* 0.25 (pow (/ 1 x) 1/4)) into (* 0.25 (pow (/ 1 x) 1/4)) 9.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.945 * [backup-simplify]: Simplify (+ 0 0) into 0 9.953 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 9.953 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 9.954 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.125) 9.957 * [backup-simplify]: Simplify (* (exp (* -1/4 (log x))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (pow (/ 1 x) 1/4)) 9.957 * [backup-simplify]: Simplify (* -0.09375 (pow (/ 1 x) 1/4)) into (* -0.09375 (pow (/ 1 x) 1/4)) 9.957 * [backup-simplify]: Simplify (+ (* (* -0.09375 (pow (/ 1 (/ 1 x)) 1/4)) (pow (/ 1 x) 2)) (+ (* (* 0.25 (pow (/ 1 (/ 1 x)) 1/4)) (/ 1 x)) (pow (/ 1 x) -1/4))) into (- (+ (pow (/ 1 x) -1/4) (* 0.25 (pow (/ 1 (pow x 3)) 1/4))) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) 9.958 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 (/ 1 (- x))))) into (pow (- 1.0 (/ 1 x)) 1/4) 9.958 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 9.958 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 9.958 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 9.958 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 9.958 * [taylor]: Taking taylor expansion of 1/4 in x 9.958 * [backup-simplify]: Simplify 1/4 into 1/4 9.958 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 9.958 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 9.958 * [taylor]: Taking taylor expansion of 1.0 in x 9.958 * [backup-simplify]: Simplify 1.0 into 1.0 9.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.958 * [taylor]: Taking taylor expansion of x in x 9.958 * [backup-simplify]: Simplify 0 into 0 9.958 * [backup-simplify]: Simplify 1 into 1 9.958 * [backup-simplify]: Simplify (/ 1 1) into 1 9.958 * [backup-simplify]: Simplify (- 1) into -1 9.959 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.959 * [backup-simplify]: Simplify (log -1) into (log -1) 9.959 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 9.960 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log x))) into (* 1/4 (- (log -1) (log x))) 9.960 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 9.960 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 9.960 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 9.960 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 9.960 * [taylor]: Taking taylor expansion of 1/4 in x 9.960 * [backup-simplify]: Simplify 1/4 into 1/4 9.960 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 9.960 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 9.960 * [taylor]: Taking taylor expansion of 1.0 in x 9.960 * [backup-simplify]: Simplify 1.0 into 1.0 9.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.960 * [taylor]: Taking taylor expansion of x in x 9.960 * [backup-simplify]: Simplify 0 into 0 9.960 * [backup-simplify]: Simplify 1 into 1 9.960 * [backup-simplify]: Simplify (/ 1 1) into 1 9.961 * [backup-simplify]: Simplify (- 1) into -1 9.961 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.961 * [backup-simplify]: Simplify (log -1) into (log -1) 9.962 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 9.962 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log x))) into (* 1/4 (- (log -1) (log x))) 9.962 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 9.963 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 9.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.963 * [backup-simplify]: Simplify (- 0) into 0 9.964 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.968 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 9.968 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 9.969 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.25) 9.971 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) 9.971 * [backup-simplify]: Simplify (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) into (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) 9.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.972 * [backup-simplify]: Simplify (- 0) into 0 9.972 * [backup-simplify]: Simplify (+ 0 0) into 0 9.978 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 9.979 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 9.980 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.125) 9.984 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) 9.984 * [backup-simplify]: Simplify (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) 9.985 * [backup-simplify]: Simplify (+ (* (* -0.09375 (exp (* 1/4 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.25 (exp (* 1/4 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/4 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 9.986 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 9.986 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 x))) into (pow (+ x 1.0) 1/4) 9.986 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 9.986 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 9.986 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 9.986 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 9.986 * [taylor]: Taking taylor expansion of 1/4 in x 9.986 * [backup-simplify]: Simplify 1/4 into 1/4 9.986 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 9.986 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 9.986 * [taylor]: Taking taylor expansion of x in x 9.986 * [backup-simplify]: Simplify 0 into 0 9.986 * [backup-simplify]: Simplify 1 into 1 9.986 * [taylor]: Taking taylor expansion of 1.0 in x 9.986 * [backup-simplify]: Simplify 1.0 into 1.0 9.986 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.986 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.987 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 9.988 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 9.988 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 9.988 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 9.988 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 9.988 * [taylor]: Taking taylor expansion of 1/4 in x 9.988 * [backup-simplify]: Simplify 1/4 into 1/4 9.988 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 9.988 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 9.988 * [taylor]: Taking taylor expansion of x in x 9.988 * [backup-simplify]: Simplify 0 into 0 9.988 * [backup-simplify]: Simplify 1 into 1 9.988 * [taylor]: Taking taylor expansion of 1.0 in x 9.988 * [backup-simplify]: Simplify 1.0 into 1.0 9.988 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.989 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.989 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 9.990 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 9.990 * [backup-simplify]: Simplify (pow 1.0 1/4) into (pow 1.0 1/4) 9.991 * [backup-simplify]: Simplify (+ 1 0) into 1 9.994 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.995 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (log 1.0))) into 0.25 9.998 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow 1.0 1/4)) 9.998 * [backup-simplify]: Simplify (* 0.25 (pow 1.0 1/4)) into (* 0.25 (pow 1.0 1/4)) 9.999 * [backup-simplify]: Simplify (+ 0 0) into 0 10.004 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 10.007 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 10.015 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 10.018 * [backup-simplify]: Simplify (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 10.022 * [backup-simplify]: Simplify (+ (* (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) (pow x 2)) (+ (* (* 0.25 (pow 1.0 1/4)) x) (pow 1.0 1/4))) into (- (+ (pow 1.0 1/4) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (* 0.25 (* x (pow 1.0 1/4))))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) 10.022 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 (/ 1 x)))) into (pow (+ (/ 1 x) 1.0) 1/4) 10.022 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/4) in (x) around 0 10.022 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/4) in x 10.022 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 x) 1.0)))) in x 10.022 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 x) 1.0))) in x 10.022 * [taylor]: Taking taylor expansion of 1/4 in x 10.022 * [backup-simplify]: Simplify 1/4 into 1/4 10.022 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 10.022 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 10.022 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.022 * [taylor]: Taking taylor expansion of x in x 10.022 * [backup-simplify]: Simplify 0 into 0 10.022 * [backup-simplify]: Simplify 1 into 1 10.023 * [backup-simplify]: Simplify (/ 1 1) into 1 10.023 * [taylor]: Taking taylor expansion of 1.0 in x 10.023 * [backup-simplify]: Simplify 1.0 into 1.0 10.023 * [backup-simplify]: Simplify (+ 1 0) into 1 10.023 * [backup-simplify]: Simplify (log 1) into 0 10.023 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 10.023 * [backup-simplify]: Simplify (* 1/4 (- (log x))) into (* -1/4 (log x)) 10.024 * [backup-simplify]: Simplify (exp (* -1/4 (log x))) into (pow x -1/4) 10.024 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/4) in x 10.024 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 x) 1.0)))) in x 10.024 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 x) 1.0))) in x 10.024 * [taylor]: Taking taylor expansion of 1/4 in x 10.024 * [backup-simplify]: Simplify 1/4 into 1/4 10.024 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 10.024 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 10.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.024 * [taylor]: Taking taylor expansion of x in x 10.024 * [backup-simplify]: Simplify 0 into 0 10.024 * [backup-simplify]: Simplify 1 into 1 10.024 * [backup-simplify]: Simplify (/ 1 1) into 1 10.024 * [taylor]: Taking taylor expansion of 1.0 in x 10.024 * [backup-simplify]: Simplify 1.0 into 1.0 10.024 * [backup-simplify]: Simplify (+ 1 0) into 1 10.025 * [backup-simplify]: Simplify (log 1) into 0 10.025 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 10.025 * [backup-simplify]: Simplify (* 1/4 (- (log x))) into (* -1/4 (log x)) 10.025 * [backup-simplify]: Simplify (exp (* -1/4 (log x))) into (pow x -1/4) 10.026 * [backup-simplify]: Simplify (pow x -1/4) into (pow x -1/4) 10.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.027 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.033 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 10.036 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log x)))) into 0.25 10.039 * [backup-simplify]: Simplify (* (exp (* -1/4 (log x))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow (/ 1 x) 1/4)) 10.039 * [backup-simplify]: Simplify (* 0.25 (pow (/ 1 x) 1/4)) into (* 0.25 (pow (/ 1 x) 1/4)) 10.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.040 * [backup-simplify]: Simplify (+ 0 0) into 0 10.052 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 10.053 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 10.053 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.125) 10.059 * [backup-simplify]: Simplify (* (exp (* -1/4 (log x))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (pow (/ 1 x) 1/4)) 10.060 * [backup-simplify]: Simplify (* -0.09375 (pow (/ 1 x) 1/4)) into (* -0.09375 (pow (/ 1 x) 1/4)) 10.061 * [backup-simplify]: Simplify (+ (* (* -0.09375 (pow (/ 1 (/ 1 x)) 1/4)) (pow (/ 1 x) 2)) (+ (* (* 0.25 (pow (/ 1 (/ 1 x)) 1/4)) (/ 1 x)) (pow (/ 1 x) -1/4))) into (- (+ (pow (/ 1 x) -1/4) (* 0.25 (pow (/ 1 (pow x 3)) 1/4))) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) 10.061 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 (/ 1 (- x))))) into (pow (- 1.0 (/ 1 x)) 1/4) 10.061 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 10.061 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 10.061 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 10.061 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 10.061 * [taylor]: Taking taylor expansion of 1/4 in x 10.061 * [backup-simplify]: Simplify 1/4 into 1/4 10.061 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 10.061 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 10.061 * [taylor]: Taking taylor expansion of 1.0 in x 10.061 * [backup-simplify]: Simplify 1.0 into 1.0 10.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.061 * [taylor]: Taking taylor expansion of x in x 10.061 * [backup-simplify]: Simplify 0 into 0 10.061 * [backup-simplify]: Simplify 1 into 1 10.062 * [backup-simplify]: Simplify (/ 1 1) into 1 10.062 * [backup-simplify]: Simplify (- 1) into -1 10.063 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.063 * [backup-simplify]: Simplify (log -1) into (log -1) 10.064 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 10.064 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log x))) into (* 1/4 (- (log -1) (log x))) 10.065 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 10.065 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 10.065 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 10.065 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 10.065 * [taylor]: Taking taylor expansion of 1/4 in x 10.065 * [backup-simplify]: Simplify 1/4 into 1/4 10.065 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 10.065 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 10.065 * [taylor]: Taking taylor expansion of 1.0 in x 10.065 * [backup-simplify]: Simplify 1.0 into 1.0 10.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.065 * [taylor]: Taking taylor expansion of x in x 10.065 * [backup-simplify]: Simplify 0 into 0 10.065 * [backup-simplify]: Simplify 1 into 1 10.066 * [backup-simplify]: Simplify (/ 1 1) into 1 10.066 * [backup-simplify]: Simplify (- 1) into -1 10.066 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.067 * [backup-simplify]: Simplify (log -1) into (log -1) 10.067 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 10.068 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log x))) into (* 1/4 (- (log -1) (log x))) 10.068 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 10.069 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 10.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.070 * [backup-simplify]: Simplify (- 0) into 0 10.071 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 10.079 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 10.080 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.25) 10.084 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) 10.084 * [backup-simplify]: Simplify (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) into (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) 10.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.086 * [backup-simplify]: Simplify (- 0) into 0 10.086 * [backup-simplify]: Simplify (+ 0 0) into 0 10.099 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 10.100 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 10.101 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.125) 10.108 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) 10.109 * [backup-simplify]: Simplify (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) 10.111 * [backup-simplify]: Simplify (+ (* (* -0.09375 (exp (* 1/4 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.25 (exp (* 1/4 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/4 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 10.111 * * * [progress]: simplifying candidates 10.116 * [simplify]: Simplifying: (expm1 (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (log1p (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (+ 1.0 x) (+ 1.0 x)) (+ 1 1) (+ (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x))))) (log (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (exp (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (* (* (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (* (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (cbrt (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))))) (cbrt (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (* (* (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (sqrt (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (+ (pow 1.0 3) (pow x 3)))) (sqrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))) (* (sqrt (sqrt (+ (pow 1.0 3) (pow x 3)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (sqrt (sqrt (- 1.0 x)))) (* (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))) (* (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x)))) (* (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x)))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (sqrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (* (sqrt (cbrt (sqrt (+ 1.0 x)))) (sqrt (cbrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (* (sqrt (sqrt (cbrt (+ 1.0 x)))) (sqrt (sqrt (cbrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt 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(* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ 1.0 x))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x)))))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt 1)) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (+ 1.0 x))) 1) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (cbrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (cbrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (sqrt (sqrt (+ (pow 1.0 3) (pow x 3)))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (+ 1.0 x)))) (expm1 (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (log1p (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (- (log 1.0) (log (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (log (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (exp (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt 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(sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) (/ 1 (* (cbrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))))) (/ 1.0 (cbrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (/ 1 (sqrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (/ 1.0 (sqrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (/ 1 1) (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) (/ 1 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) (/ (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))))) (/ 1.0 (sqrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (/ 1.0 1) (/ (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)) (cbrt 1.0)) (/ 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(sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt 1) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ (pow 1.0 3) (pow x 3)))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- 1.0 x))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x)))) (expm1 (sqrt (sqrt (+ 1.0 x)))) (log1p (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (exp (sqrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (cbrt (sqrt (sqrt (+ 1.0 x)))) (* (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (sqrt (cbrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (sqrt (cbrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt 1)) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt 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(pow 1.0 1/4) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (* 0.25 (* x (pow 1.0 1/4))))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) (- (+ (pow (/ 1 x) -1/4) (* 0.25 (pow (/ 1 (pow x 3)) 1/4))) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (pow 1.0 1/4) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (* 0.25 (* x (pow 1.0 1/4))))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) (- (+ (pow (/ 1 x) -1/4) (* 0.25 (pow (/ 1 (pow x 3)) 1/4))) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 10.123 * * [simplify]: iteration 0: 257 enodes 10.232 * * [simplify]: iteration 1: 597 enodes 10.500 * * [simplify]: iteration 2: 1669 enodes 11.129 * * [simplify]: iteration complete: 5001 enodes 11.130 * * [simplify]: Extracting #0: cost 88 inf + 0 11.131 * * [simplify]: Extracting #1: cost 482 inf + 46 11.139 * * [simplify]: Extracting #2: cost 1206 inf + 3226 11.149 * * [simplify]: Extracting #3: cost 1471 inf + 31211 11.180 * * [simplify]: Extracting #4: cost 853 inf + 168945 11.249 * * [simplify]: Extracting #5: cost 305 inf + 345482 11.336 * * [simplify]: Extracting #6: cost 195 inf + 387744 11.460 * * [simplify]: Extracting #7: cost 115 inf + 407683 11.557 * * [simplify]: Extracting #8: cost 15 inf + 462689 11.660 * * [simplify]: Extracting #9: cost 0 inf + 473665 11.785 * [simplify]: Simplified to: (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ x 1.0) (sqrt (+ x 1.0)) (* (+ x 1.0) (+ x 1.0)) (+ x 1.0) (* (+ x 1.0) (+ x 1.0)) 2 (log (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (+ x 1.0) (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (+ x 1.0) (sqrt (+ x 1.0))) (+ x 1.0) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (fma (* x x) x (* (* 1.0 1.0) 1.0))) (sqrt (fma x (- x 1.0) (* 1.0 1.0))) (* (sqrt (sqrt (* (+ x 1.0) (- 1.0 x)))) (sqrt (sqrt (fma (* x x) x (* (* 1.0 1.0) 1.0))))) (* (sqrt (sqrt (fma x (- x 1.0) (* 1.0 1.0)))) (sqrt (sqrt (- 1.0 x)))) (* (sqrt (sqrt (* (+ x 1.0) (- 1.0 x)))) (sqrt (sqrt (fma (* x x) x (* (* 1.0 1.0) 1.0))))) (* (sqrt (sqrt (fma x (- x 1.0) (* 1.0 1.0)))) (sqrt (sqrt (- 1.0 x)))) (sqrt (* (+ x 1.0) (- 1.0 x))) (sqrt (- 1.0 x)) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 2 1/2 1 1/2 (* (sqrt (sqrt (+ x 1.0))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0)))))) (* (sqrt (sqrt (+ x 1.0))) (fabs (cbrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (fabs (cbrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (sqrt (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (sqrt (sqrt (+ x 1.0))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (sqrt (+ x 1.0)) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (sqrt (+ x 1.0)) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (fma (* x x) x (* (* 1.0 1.0) 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (* (+ x 1.0) (- 1.0 x))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (fma (* x x) x (* (* 1.0 1.0) 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (* (+ x 1.0) (- 1.0 x))))) (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 1.0) (- (- (sqrt (+ x 1.0))) (sqrt x)) (* (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (/ 1 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1.0 (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (fma (sqrt (+ x 1.0)) (+ x 1.0) (* (sqrt x) x))) (/ 1.0 (- (+ x 1.0) x)) (expm1 (sqrt (sqrt (+ x 1.0)))) (log1p (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (exp (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (fma (* x x) x (* (* 1.0 1.0) 1.0)))) (sqrt (sqrt (fma x (- x 1.0) (* 1.0 1.0)))) (sqrt (sqrt (* (+ x 1.0) (- 1.0 x)))) (sqrt (sqrt (- 1.0 x))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (expm1 (sqrt (sqrt (+ x 1.0)))) (log1p (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (exp (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (fma (* x x) x (* (* 1.0 1.0) 1.0)))) (sqrt (sqrt (fma x (- x 1.0) (* 1.0 1.0)))) (sqrt (sqrt (* (+ x 1.0) (- 1.0 x)))) (sqrt (sqrt (- 1.0 x))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (fma (/ (* x x) (* (sqrt 1.0) 1.0)) -1/8 (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (- (- (fma (/ +nan.0 x) (/ 1 x) +nan.0) (/ +nan.0 x))) (- (- (fma (/ +nan.0 x) (/ 1 x) +nan.0) (/ +nan.0 x))) (- (fma 0.375 (* (/ x (pow (sqrt 1.0) 5/2)) (/ x (pow (sqrt 1.0) 5/2))) (/ 1.0 (sqrt 1.0))) (fma (/ x (* (sqrt 1.0) 1.0)) 0.5 (fma (/ (- (* x x)) (* (sqrt 1.0) 1.0)) +nan.0 (+ (* +nan.0 (- (* (/ x 1.0) (/ x 1.0)) (/ x 1.0))) (/ (* (* x x) +nan.0) 1.0))))) (- (- (fma (/ +nan.0 x) (/ 1 x) +nan.0) (/ +nan.0 x))) (- (- (fma (/ +nan.0 x) (/ 1 x) +nan.0) (/ +nan.0 x))) (fma (* -1/8 (* x x)) (pow (/ 1 (pow 1.0 7)) 1/4) (fma (pow 1.0 1/4) (fma 0.03125 (* x x) (* 0.25 x)) (pow 1.0 1/4))) (- (fma 0.25 (pow (/ 1 (* (* x x) x)) 1/4) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (fma 0.25 (/ (exp (* 1/4 (+ 0 (log x)))) x) (- (exp (* 1/4 (+ 0 (log x)))) (/ (* (exp (* 1/4 (+ 0 (log x)))) 0.09375) (* x x)))) (fma (* -1/8 (* x x)) (pow (/ 1 (pow 1.0 7)) 1/4) (fma (pow 1.0 1/4) (fma 0.03125 (* x x) (* 0.25 x)) (pow 1.0 1/4))) (- (fma 0.25 (pow (/ 1 (* (* x x) x)) 1/4) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (fma 0.25 (/ (exp (* 1/4 (+ 0 (log x)))) x) (- (exp (* 1/4 (+ 0 (log x)))) (/ (* (exp (* 1/4 (+ 0 (log x)))) 0.09375) (* x x)))) 11.813 * * * [progress]: adding candidates to table 12.556 * [progress]: [Phase 3 of 3] Extracting. 12.556 * * [regime]: Finding splitpoints for: (# # # # # # # #) 12.560 * * * [regime-changes]: Trying 1 branch expressions: (x) 12.560 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 12.622 * * * [regime]: Found split indices: #