103.816 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.064 * [progress]: [Phase 2 of 3] Improving. 0.064 * [simplify]: Simplifying: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.064 * * [simplify]: iteration 0: 9 enodes 0.066 * * [simplify]: iteration 1: 19 enodes 0.069 * * [simplify]: iteration 2: 26 enodes 0.075 * * [simplify]: iteration 3: 32 enodes 0.083 * * [simplify]: iteration 4: 34 enodes 0.091 * * [simplify]: iteration 5: 40 enodes 0.101 * * [simplify]: iteration 6: 42 enodes 0.111 * * [simplify]: iteration complete: 42 enodes 0.112 * * [simplify]: Extracting #0: cost 1 inf + 0 0.112 * * [simplify]: Extracting #1: cost 4 inf + 0 0.112 * * [simplify]: Extracting #2: cost 4 inf + 1 0.112 * * [simplify]: Extracting #3: cost 11 inf + 1 0.112 * * [simplify]: Extracting #4: cost 12 inf + 44 0.112 * * [simplify]: Extracting #5: cost 13 inf + 44 0.112 * * [simplify]: Extracting #6: cost 8 inf + 395 0.113 * * [simplify]: Extracting #7: cost 1 inf + 1604 0.114 * * [simplify]: Extracting #8: cost 0 inf + 1832 0.114 * * [simplify]: Extracting #9: cost 0 inf + 1817 0.115 * [simplify]: Simplified to: (- 1.0 (sqrt (* (+ 0.5 (/ 0.5 (hypot 1.0 x))) 1.0))) 0.116 * * [progress]: iteration 1 / 4 0.116 * * * [progress]: picking best candidate 0.123 * * * * [pick]: Picked # 0.123 * * * [progress]: localizing error 0.146 * * * [progress]: generating rewritten candidates 0.146 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.156 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 2 2) 0.159 * * * [progress]: generating series expansions 0.159 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.159 * [backup-simplify]: Simplify (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) into (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5))) 0.159 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5))) in (x) around 0 0.159 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5))) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [backup-simplify]: Simplify 1.0 into 1.0 0.159 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) in x 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.159 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.159 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [backup-simplify]: Simplify 1.0 into 1.0 0.159 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.159 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.160 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.160 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.160 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [backup-simplify]: Simplify 1.0 into 1.0 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [backup-simplify]: Simplify 1.0 into 1.0 0.160 * [taylor]: Taking taylor expansion of (* x x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.161 * [backup-simplify]: Simplify (* 0 0) into 0 0.161 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.162 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.162 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 0.163 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.165 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [backup-simplify]: Simplify 1.0 into 1.0 0.167 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sqrt 1.0))) into (/ 1.0 (sqrt 1.0)) 0.168 * [backup-simplify]: Simplify (+ (/ 1.0 (sqrt 1.0)) 1.0) into (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 0.170 * [backup-simplify]: Simplify (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) into (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqrt 1.0)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 0.172 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.172 * [taylor]: Taking taylor expansion of 0.5 in x 0.172 * [backup-simplify]: Simplify 0.5 into 0.5 0.172 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 0.173 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5))) in x 0.173 * [taylor]: Taking taylor expansion of 1.0 in x 0.173 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) in x 0.173 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.173 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.173 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.173 * [taylor]: Taking taylor expansion of 1.0 in x 0.173 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.173 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.173 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.173 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.173 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.173 * [taylor]: Taking taylor expansion of 1.0 in x 0.173 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [taylor]: Taking taylor expansion of 1.0 in x 0.173 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [taylor]: Taking taylor expansion of (* x x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.174 * [backup-simplify]: Simplify (* 0 0) into 0 0.174 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.174 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.175 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 0.181 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.183 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [backup-simplify]: Simplify 1.0 into 1.0 0.184 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sqrt 1.0))) into (/ 1.0 (sqrt 1.0)) 0.185 * [backup-simplify]: Simplify (+ (/ 1.0 (sqrt 1.0)) 1.0) into (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 0.187 * [backup-simplify]: Simplify (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) into (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqrt 1.0)))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 0.189 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.189 * [taylor]: Taking taylor expansion of 0.5 in x 0.189 * [backup-simplify]: Simplify 0.5 into 0.5 0.190 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 0.193 * [backup-simplify]: Simplify (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) into (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 0.199 * [backup-simplify]: Simplify (- (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) into (- (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 0.207 * [backup-simplify]: Simplify (+ 1.0 (- (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)))) into (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 0.213 * [backup-simplify]: Simplify (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) into (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 0.215 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (* 0 (sqrt 0.5))) into 0 0.215 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.219 * [backup-simplify]: Simplify (+ 0 1) into 1 0.222 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) 0.237 * [backup-simplify]: Simplify (+ (* 1.0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))) into (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 0.242 * [backup-simplify]: Simplify (+ (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 0.256 * [backup-simplify]: Simplify (/ (- (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) (pow 0 2) (+)) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 0.271 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) (sqrt 0.5)))) into (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) 0.280 * [backup-simplify]: Simplify (- (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))))) into (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 0.287 * [backup-simplify]: Simplify (+ 0 (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) into (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 0.297 * [backup-simplify]: Simplify (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) into (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 0.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) (/ 0 (sqrt 1.0))))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0)))))) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))))))) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (+ (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 0) (* 0 (sqrt 0.5))))) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (/ -1/8 (pow (sqrt 1.0) 3)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) 0.356 * [backup-simplify]: Simplify (+ (* 1.0 (* 3/8 (/ 1 (pow (sqrt 1.0) 5)))) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))))) into (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 0.358 * [backup-simplify]: Simplify (+ (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 0) into (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 0.374 * [backup-simplify]: Simplify (/ (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (pow (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into (* 1/2 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (* 0.0625 (/ 1 (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))))))) 0.416 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (+ (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 0) (+ (* 0 0) (* (* 1/2 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (* 0.0625 (/ 1 (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))))))) (sqrt 0.5)))))) into (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))))) 0.434 * [backup-simplify]: Simplify (- (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))))) into (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) 0.459 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))))) into (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) 0.477 * [backup-simplify]: Simplify (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) into (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) 0.517 * [backup-simplify]: Simplify (+ (* (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) (pow x 4)) (+ (* (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) (pow x 2)) (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))))) into (- (+ (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))) (+ (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)))))) 0.517 * [backup-simplify]: Simplify (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 (/ 1 x))))))) into (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) 0.517 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in (x) around 0 0.517 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [backup-simplify]: Simplify 1.0 into 1.0 0.518 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 0.518 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.518 * [taylor]: Taking taylor expansion of 0.5 in x 0.518 * [backup-simplify]: Simplify 0.5 into 0.5 0.518 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 0.518 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.518 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.518 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [backup-simplify]: Simplify 1.0 into 1.0 0.518 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.518 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.519 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.519 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.519 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [backup-simplify]: Simplify 1.0 into 1.0 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [backup-simplify]: Simplify 1.0 into 1.0 0.519 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (/ 1 1) into 1 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (/ 1 1) into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.520 * [backup-simplify]: Simplify (+ 0 1) into 1 0.520 * [backup-simplify]: Simplify (sqrt 1) into 1 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [backup-simplify]: Simplify 1.0 into 1.0 0.523 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.523 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.523 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.523 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.524 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 0.524 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 0.524 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [backup-simplify]: Simplify 1.0 into 1.0 0.524 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 0.524 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.525 * [taylor]: Taking taylor expansion of 0.5 in x 0.525 * [backup-simplify]: Simplify 0.5 into 0.5 0.525 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 0.525 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.526 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.526 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [backup-simplify]: Simplify 1.0 into 1.0 0.526 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.526 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.526 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [backup-simplify]: Simplify 1.0 into 1.0 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [backup-simplify]: Simplify 1.0 into 1.0 0.526 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.527 * [backup-simplify]: Simplify (+ 0 1) into 1 0.527 * [backup-simplify]: Simplify (sqrt 1) into 1 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.529 * [backup-simplify]: Simplify (/ 1 1) into 1 0.529 * [taylor]: Taking taylor expansion of 1.0 in x 0.529 * [backup-simplify]: Simplify 1.0 into 1.0 0.530 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.530 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.530 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.531 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.531 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 0.532 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 1.0)) into (* (sqrt 1.0) (sqrt 0.5)) 0.534 * [backup-simplify]: Simplify (- (* (sqrt 1.0) (sqrt 0.5))) into (- (* (sqrt 1.0) (sqrt 0.5))) 0.535 * [backup-simplify]: Simplify (+ 1.0 (- (* (sqrt 1.0) (sqrt 0.5)))) into (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 0.537 * [backup-simplify]: Simplify (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) into (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 0.539 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 0.541 * [backup-simplify]: Simplify (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 0.544 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 0.548 * [backup-simplify]: Simplify (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.556 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.125 (pow (sqrt 1.0) 3)) 0.557 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 0.564 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ -0.125 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 0.570 * [backup-simplify]: Simplify (- (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 0.574 * [backup-simplify]: Simplify (+ 0 (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 0.578 * [backup-simplify]: Simplify (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 0.587 * [backup-simplify]: Simplify (+ (* (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) (pow (/ 1 x) 2)) (+ (* (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) (/ 1 x)) (- 1.0 (* (sqrt 1.0) (sqrt 0.5))))) into (- (+ 1.0 (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2))))) (+ (* (sqrt 1.0) (sqrt 0.5)) (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))))) 0.587 * [backup-simplify]: Simplify (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 (/ 1 (- x)))))))) into (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) 0.587 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in (x) around 0 0.587 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [backup-simplify]: Simplify 1.0 into 1.0 0.587 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 0.587 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.587 * [taylor]: Taking taylor expansion of 0.5 in x 0.587 * [backup-simplify]: Simplify 0.5 into 0.5 0.588 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 0.588 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.589 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.589 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.589 * [taylor]: Taking taylor expansion of 1.0 in x 0.589 * [backup-simplify]: Simplify 1.0 into 1.0 0.589 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.589 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.589 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.589 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.589 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.589 * [taylor]: Taking taylor expansion of 1.0 in x 0.589 * [backup-simplify]: Simplify 1.0 into 1.0 0.589 * [taylor]: Taking taylor expansion of 1.0 in x 0.589 * [backup-simplify]: Simplify 1.0 into 1.0 0.589 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.589 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.589 * [taylor]: Taking taylor expansion of -1 in x 0.589 * [backup-simplify]: Simplify -1 into -1 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (/ -1 1) into -1 0.590 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.590 * [taylor]: Taking taylor expansion of -1 in x 0.590 * [backup-simplify]: Simplify -1 into -1 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (/ -1 1) into -1 0.591 * [backup-simplify]: Simplify (* -1 -1) into 1 0.591 * [backup-simplify]: Simplify (+ 0 1) into 1 0.591 * [backup-simplify]: Simplify (sqrt 1) into 1 0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.595 * [backup-simplify]: Simplify (/ 1 1) into 1 0.595 * [taylor]: Taking taylor expansion of 1.0 in x 0.595 * [backup-simplify]: Simplify 1.0 into 1.0 0.596 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.596 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.597 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.597 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.599 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 0.599 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [backup-simplify]: Simplify 1.0 into 1.0 0.599 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 0.599 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.599 * [taylor]: Taking taylor expansion of 0.5 in x 0.599 * [backup-simplify]: Simplify 0.5 into 0.5 0.599 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 0.600 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.600 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.600 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.600 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [backup-simplify]: Simplify 1.0 into 1.0 0.600 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.600 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.600 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.600 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.600 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.600 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [backup-simplify]: Simplify 1.0 into 1.0 0.600 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [backup-simplify]: Simplify 1.0 into 1.0 0.600 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.600 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.601 * [taylor]: Taking taylor expansion of -1 in x 0.601 * [backup-simplify]: Simplify -1 into -1 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (/ -1 1) into -1 0.601 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.601 * [taylor]: Taking taylor expansion of -1 in x 0.601 * [backup-simplify]: Simplify -1 into -1 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (/ -1 1) into -1 0.602 * [backup-simplify]: Simplify (* -1 -1) into 1 0.602 * [backup-simplify]: Simplify (+ 0 1) into 1 0.603 * [backup-simplify]: Simplify (sqrt 1) into 1 0.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.605 * [backup-simplify]: Simplify (+ 0 0) into 0 0.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.607 * [backup-simplify]: Simplify (/ 1 1) into 1 0.607 * [taylor]: Taking taylor expansion of 1.0 in x 0.607 * [backup-simplify]: Simplify 1.0 into 1.0 0.607 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.607 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.608 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.608 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.610 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 0.611 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 1.0)) into (* (sqrt 1.0) (sqrt 0.5)) 0.613 * [backup-simplify]: Simplify (- (* (sqrt 1.0) (sqrt 0.5))) into (- (* (sqrt 1.0) (sqrt 0.5))) 0.615 * [backup-simplify]: Simplify (+ 1.0 (- (* (sqrt 1.0) (sqrt 0.5)))) into (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 0.616 * [backup-simplify]: Simplify (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) into (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 0.618 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 0.622 * [backup-simplify]: Simplify (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 0.624 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 0.627 * [backup-simplify]: Simplify (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.629 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.125 (pow (sqrt 1.0) 3)) 0.635 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 0.641 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ -0.125 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 0.647 * [backup-simplify]: Simplify (- (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 0.652 * [backup-simplify]: Simplify (+ 0 (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 0.655 * [backup-simplify]: Simplify (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 0.664 * [backup-simplify]: Simplify (+ (* (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) (/ 1 (- x))) (- 1.0 (* (sqrt 1.0) (sqrt 0.5))))) into (- (+ (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))) (+ 1.0 (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2)))))) (* (sqrt 1.0) (sqrt 0.5))) 0.664 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 2 2) 0.665 * [backup-simplify]: Simplify (hypot 1.0 x) into (hypot 1.0 x) 0.665 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 0.665 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.665 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.665 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.665 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [backup-simplify]: Simplify 1.0 into 1.0 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [backup-simplify]: Simplify 1.0 into 1.0 0.665 * [taylor]: Taking taylor expansion of (* x x) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.666 * [backup-simplify]: Simplify (* 0 0) into 0 0.666 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.667 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.667 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 0.668 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.668 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.669 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.669 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.669 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.669 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.669 * [taylor]: Taking taylor expansion of 1.0 in x 0.669 * [backup-simplify]: Simplify 1.0 into 1.0 0.670 * [taylor]: Taking taylor expansion of 1.0 in x 0.670 * [backup-simplify]: Simplify 1.0 into 1.0 0.670 * [taylor]: Taking taylor expansion of (* x x) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.670 * [backup-simplify]: Simplify (* 0 0) into 0 0.671 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.671 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.672 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 0.673 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.673 * [backup-simplify]: Simplify (+ 0 0) into 0 0.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.674 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.674 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 0.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.676 * [backup-simplify]: Simplify (+ 0 1) into 1 0.679 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.680 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.681 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 0.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.682 * [backup-simplify]: Simplify (+ 0 0) into 0 0.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 0.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.687 * [backup-simplify]: Simplify (+ 0 0) into 0 0.693 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.694 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.698 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) 0.698 * [backup-simplify]: Simplify (hypot 1.0 (/ 1 x)) into (hypot 1.0 (/ 1 x)) 0.698 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 0.698 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.698 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.698 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.698 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.698 * [backup-simplify]: Simplify 1.0 into 1.0 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.698 * [backup-simplify]: Simplify 1.0 into 1.0 0.698 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify (/ 1 1) into 1 0.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify (/ 1 1) into 1 0.700 * [backup-simplify]: Simplify (* 1 1) into 1 0.700 * [backup-simplify]: Simplify (+ 0 1) into 1 0.700 * [backup-simplify]: Simplify (sqrt 1) into 1 0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.703 * [backup-simplify]: Simplify (+ 0 0) into 0 0.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.704 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.704 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.704 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.704 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.704 * [taylor]: Taking taylor expansion of 1.0 in x 0.704 * [backup-simplify]: Simplify 1.0 into 1.0 0.704 * [taylor]: Taking taylor expansion of 1.0 in x 0.704 * [backup-simplify]: Simplify 1.0 into 1.0 0.704 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (/ 1 1) into 1 0.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (/ 1 1) into 1 0.705 * [backup-simplify]: Simplify (* 1 1) into 1 0.706 * [backup-simplify]: Simplify (+ 0 1) into 1 0.706 * [backup-simplify]: Simplify (sqrt 1) into 1 0.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.713 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.716 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.716 * [backup-simplify]: Simplify 0.5 into 0.5 0.716 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.725 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.730 * [backup-simplify]: Simplify -0.125 into -0.125 0.730 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 x) 3)) (+ (* 0.5 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) 0.730 * [backup-simplify]: Simplify (hypot 1.0 (/ 1 (- x))) into (hypot 1.0 (/ -1 x)) 0.730 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 0.730 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.730 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.730 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.731 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [backup-simplify]: Simplify 1.0 into 1.0 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [backup-simplify]: Simplify 1.0 into 1.0 0.731 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.731 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.731 * [taylor]: Taking taylor expansion of -1 in x 0.731 * [backup-simplify]: Simplify -1 into -1 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (/ -1 1) into -1 0.731 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.731 * [taylor]: Taking taylor expansion of -1 in x 0.731 * [backup-simplify]: Simplify -1 into -1 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (/ -1 1) into -1 0.732 * [backup-simplify]: Simplify (* -1 -1) into 1 0.733 * [backup-simplify]: Simplify (+ 0 1) into 1 0.733 * [backup-simplify]: Simplify (sqrt 1) into 1 0.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.736 * [backup-simplify]: Simplify (+ 0 0) into 0 0.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.736 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.737 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.737 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.737 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [backup-simplify]: Simplify 1.0 into 1.0 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [backup-simplify]: Simplify 1.0 into 1.0 0.737 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.737 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.737 * [taylor]: Taking taylor expansion of -1 in x 0.737 * [backup-simplify]: Simplify -1 into -1 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (/ -1 1) into -1 0.737 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.737 * [taylor]: Taking taylor expansion of -1 in x 0.737 * [backup-simplify]: Simplify -1 into -1 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (/ -1 1) into -1 0.738 * [backup-simplify]: Simplify (* -1 -1) into 1 0.739 * [backup-simplify]: Simplify (+ 0 1) into 1 0.739 * [backup-simplify]: Simplify (sqrt 1) into 1 0.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.746 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.749 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.750 * [backup-simplify]: Simplify 0.5 into 0.5 0.750 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 0.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.754 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 0.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.767 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.767 * [backup-simplify]: Simplify -0.125 into -0.125 0.767 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* 0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 0.767 * * * [progress]: simplifying candidates 0.769 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma 1 1.0 (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1 1.0 (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma 1 1.0 (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1 1.0 (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (+ (* 1.0 1.0) (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (- (+ (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))) (+ (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)))))) (- (+ 1.0 (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2))))) (+ (* (sqrt 1.0) (sqrt 0.5)) (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))) (+ 1.0 (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2)))))) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 0.772 * * [simplify]: iteration 0: 148 enodes 0.829 * * [simplify]: iteration 1: 361 enodes 1.036 * * [simplify]: iteration 2: 1492 enodes 1.689 * * [simplify]: iteration complete: 5000 enodes 1.689 * * [simplify]: Extracting #0: cost 36 inf + 0 1.690 * * [simplify]: Extracting #1: cost 255 inf + 1 1.693 * * [simplify]: Extracting #2: cost 836 inf + 3025 1.699 * * [simplify]: Extracting #3: cost 1157 inf + 25182 1.739 * * [simplify]: Extracting #4: cost 1125 inf + 156812 1.797 * * [simplify]: Extracting #5: cost 321 inf + 336017 1.874 * * [simplify]: Extracting #6: cost 203 inf + 373920 1.977 * * [simplify]: Extracting #7: cost 152 inf + 390721 2.081 * * [simplify]: Extracting #8: cost 22 inf + 456694 2.189 * * [simplify]: Extracting #9: cost 0 inf + 470667 2.317 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0 (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (- (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0 (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0 (- 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (- (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0 (- 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (- (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0 (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (* 1.0 (* 1.0 1.0)) (* (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (fma 1.0 1.0 (fma (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1.0 (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (fma x x (* 1.0 1.0)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (hypot 1.0 x) (* (hypot 1.0 x) (hypot 1.0 x))) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (fma 0.25 (* (/ (* (sqrt 0.5) (* x x)) (sqrt 1.0)) (/ (sqrt (/ 1 (+ (/ 1.0 (sqrt 1.0)) 1.0))) 1.0)) (- (- (fma 0.03125 (* (/ (* (* x x) (* (sqrt 0.5) (* x x))) (* 1.0 1.0)) (/ (sqrt (/ (/ 1 (* (+ (/ 1.0 (sqrt 1.0)) 1.0) (+ (/ 1.0 (sqrt 1.0)) 1.0))) (+ (/ 1.0 (sqrt 1.0)) 1.0))) 1.0)) 1.0) (* 0.1875 (/ (sqrt (/ 1 (+ (/ 1.0 (sqrt 1.0)) 1.0))) (/ (pow (sqrt 1.0) 5) (* (* x x) (* (sqrt 0.5) (* x x))))))) (* (sqrt (+ (/ 1.0 (sqrt 1.0)) 1.0)) (sqrt 0.5)))) (fma (/ 0.125 (* (sqrt 1.0) 1.0)) (/ (sqrt 0.5) (* x x)) (- 1.0 (fma 0.5 (/ (/ (sqrt 0.5) x) (sqrt 1.0)) (* (sqrt 0.5) (sqrt 1.0))))) (fma 0.5 (/ (/ (sqrt 0.5) x) (sqrt 1.0)) (fma (/ (/ (sqrt 0.5) (* (sqrt 1.0) 1.0)) (* x x)) 0.125 (- 1.0 (* (sqrt 0.5) (sqrt 1.0))))) (fma (* (/ (* x x) (sqrt 1.0)) (/ (* x x) 1.0)) -1/8 (fma 1/2 (/ (* x x) (sqrt 1.0)) (sqrt 1.0))) (- (+ x (/ 0.5 x)) (/ 0.125 (* (* x x) x))) (- (/ 0.125 (* (* x x) x)) (+ x (/ 0.5 x))) 2.321 * * * [progress]: adding candidates to table 2.559 * * [progress]: iteration 2 / 4 2.559 * * * [progress]: picking best candidate 2.572 * * * * [pick]: Picked # 2.572 * * * [progress]: localizing error 2.607 * * * [progress]: generating rewritten candidates 2.607 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.618 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.627 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2 2) 2.627 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2 2) 2.629 * * * [progress]: generating series expansions 2.629 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.630 * [backup-simplify]: Simplify (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) into (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) 2.630 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in (x) around 0 2.630 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 2.630 * [taylor]: Taking taylor expansion of 0.5 in x 2.630 * [backup-simplify]: Simplify 0.5 into 0.5 2.630 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 2.630 * [taylor]: Taking taylor expansion of 0.5 in x 2.630 * [backup-simplify]: Simplify 0.5 into 0.5 2.630 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.630 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.630 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.630 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.630 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.630 * [taylor]: Taking taylor expansion of 1.0 in x 2.630 * [backup-simplify]: Simplify 1.0 into 1.0 2.630 * [taylor]: Taking taylor expansion of 1.0 in x 2.630 * [backup-simplify]: Simplify 1.0 into 1.0 2.630 * [taylor]: Taking taylor expansion of (* x x) in x 2.630 * [taylor]: Taking taylor expansion of x in x 2.631 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify 1 into 1 2.631 * [taylor]: Taking taylor expansion of x in x 2.631 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify 1 into 1 2.631 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 2.631 * [backup-simplify]: Simplify (* 0 0) into 0 2.632 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.632 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.633 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 2.633 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.634 * [backup-simplify]: Simplify (+ 0 0) into 0 2.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.635 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 2.635 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 2.635 * [taylor]: Taking taylor expansion of 0.5 in x 2.635 * [backup-simplify]: Simplify 0.5 into 0.5 2.635 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 2.635 * [taylor]: Taking taylor expansion of 0.5 in x 2.635 * [backup-simplify]: Simplify 0.5 into 0.5 2.635 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.635 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.636 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.636 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.636 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.636 * [taylor]: Taking taylor expansion of 1.0 in x 2.636 * [backup-simplify]: Simplify 1.0 into 1.0 2.636 * [taylor]: Taking taylor expansion of 1.0 in x 2.636 * [backup-simplify]: Simplify 1.0 into 1.0 2.636 * [taylor]: Taking taylor expansion of (* x x) in x 2.636 * [taylor]: Taking taylor expansion of x in x 2.636 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify 1 into 1 2.636 * [taylor]: Taking taylor expansion of x in x 2.636 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify 1 into 1 2.636 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 2.637 * [backup-simplify]: Simplify (* 0 0) into 0 2.637 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.638 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.638 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 2.639 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.639 * [backup-simplify]: Simplify (+ 0 0) into 0 2.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.641 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 2.642 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 2.644 * [backup-simplify]: Simplify (- (/ 0.5 (sqrt 1.0))) into (- (* 0.5 (/ 1 (sqrt 1.0)))) 2.647 * [backup-simplify]: Simplify (+ 0.5 (- (* 0.5 (/ 1 (sqrt 1.0))))) into (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2.649 * [backup-simplify]: Simplify (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) into (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 2.651 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 (sqrt 1.0)))) into 0 2.652 * [backup-simplify]: Simplify (- 0) into 0 2.652 * [backup-simplify]: Simplify (+ 0 0) into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 2.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.654 * [backup-simplify]: Simplify (+ 0 1) into 1 2.657 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) 2.670 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))) into (- (* 0.25 (/ 1 (pow (sqrt 1.0) 3)))) 2.673 * [backup-simplify]: Simplify (- (- (* 0.25 (/ 1 (pow (sqrt 1.0) 3))))) into (* 0.25 (/ 1 (pow (sqrt 1.0) 3))) 2.675 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 (pow (sqrt 1.0) 3)))) into (* 0.25 (/ 1 (pow (sqrt 1.0) 3))) 2.677 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow (sqrt 1.0) 3))) into (/ 0.25 (pow (sqrt 1.0) 3)) 2.681 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 2.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.682 * [backup-simplify]: Simplify (+ 0 0) into 0 2.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 2.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) (/ 0 (sqrt 1.0))))) into 0 2.687 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0)))))) into 0 2.687 * [backup-simplify]: Simplify (- 0) into 0 2.688 * [backup-simplify]: Simplify (+ 0 0) into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 2.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.691 * [backup-simplify]: Simplify (+ 0 0) into 0 2.696 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (/ -1/8 (pow (sqrt 1.0) 3)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) 2.728 * [backup-simplify]: Simplify (+ (* 0.5 (* 3/8 (/ 1 (pow (sqrt 1.0) 5)))) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))))) into (* 0.1875 (/ 1 (pow (sqrt 1.0) 5))) 2.732 * [backup-simplify]: Simplify (- (* 0.1875 (/ 1 (pow (sqrt 1.0) 5)))) into (- (* 0.1875 (/ 1 (pow (sqrt 1.0) 5)))) 2.736 * [backup-simplify]: Simplify (+ 0 (- (* 0.1875 (/ 1 (pow (sqrt 1.0) 5))))) into (- (* 0.1875 (/ 1 (pow (sqrt 1.0) 5)))) 2.739 * [backup-simplify]: Simplify (- (* 0.1875 (/ 1 (pow (sqrt 1.0) 5)))) into (- (* 0.1875 (/ 1 (pow (sqrt 1.0) 5)))) 2.744 * [backup-simplify]: Simplify (+ (* (- (* 0.1875 (/ 1 (pow (sqrt 1.0) 5)))) (pow x 4)) (+ (* (/ 0.25 (pow (sqrt 1.0) 3)) (pow x 2)) (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))))) into (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) 2.745 * [backup-simplify]: Simplify (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 (/ 1 x)))))) into (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) 2.745 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 2.745 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 2.745 * [taylor]: Taking taylor expansion of 0.5 in x 2.745 * [backup-simplify]: Simplify 0.5 into 0.5 2.745 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.745 * [taylor]: Taking taylor expansion of 0.5 in x 2.745 * [backup-simplify]: Simplify 0.5 into 0.5 2.745 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.745 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.745 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.745 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.745 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.745 * [taylor]: Taking taylor expansion of 1.0 in x 2.745 * [backup-simplify]: Simplify 1.0 into 1.0 2.745 * [taylor]: Taking taylor expansion of 1.0 in x 2.745 * [backup-simplify]: Simplify 1.0 into 1.0 2.745 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.745 * [taylor]: Taking taylor expansion of x in x 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (/ 1 1) into 1 2.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.745 * [taylor]: Taking taylor expansion of x in x 2.745 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (/ 1 1) into 1 2.746 * [backup-simplify]: Simplify (* 1 1) into 1 2.746 * [backup-simplify]: Simplify (+ 0 1) into 1 2.746 * [backup-simplify]: Simplify (sqrt 1) into 1 2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.748 * [backup-simplify]: Simplify (+ 0 0) into 0 2.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.749 * [backup-simplify]: Simplify (/ 1 1) into 1 2.749 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 2.749 * [taylor]: Taking taylor expansion of 0.5 in x 2.749 * [backup-simplify]: Simplify 0.5 into 0.5 2.749 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.749 * [taylor]: Taking taylor expansion of 0.5 in x 2.749 * [backup-simplify]: Simplify 0.5 into 0.5 2.749 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.749 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.749 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.749 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.749 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.749 * [taylor]: Taking taylor expansion of 1.0 in x 2.749 * [backup-simplify]: Simplify 1.0 into 1.0 2.749 * [taylor]: Taking taylor expansion of 1.0 in x 2.749 * [backup-simplify]: Simplify 1.0 into 1.0 2.749 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.749 * [taylor]: Taking taylor expansion of x in x 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 1 into 1 2.749 * [backup-simplify]: Simplify (/ 1 1) into 1 2.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.750 * [taylor]: Taking taylor expansion of x in x 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [backup-simplify]: Simplify (/ 1 1) into 1 2.750 * [backup-simplify]: Simplify (* 1 1) into 1 2.750 * [backup-simplify]: Simplify (+ 0 1) into 1 2.751 * [backup-simplify]: Simplify (sqrt 1) into 1 2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.752 * [backup-simplify]: Simplify (+ 0 0) into 0 2.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.753 * [backup-simplify]: Simplify (/ 1 1) into 1 2.753 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 2.753 * [backup-simplify]: Simplify 0.5 into 0.5 2.753 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.754 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.754 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.754 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.755 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.755 * [backup-simplify]: Simplify (- 0) into 0 2.756 * [backup-simplify]: Simplify (+ 0 0) into 0 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 2.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.758 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.759 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 2.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0.5 1)) (* 0 (/ 0 1)))) into (- 0.5) 2.763 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (+ (* 0 0) (* 0 1))) into (- 0.25) 2.763 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25 2.764 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.764 * [backup-simplify]: Simplify 0.25 into 0.25 2.764 * [backup-simplify]: Simplify (+ (* 0.25 (pow (/ 1 x) 3)) (+ (* (- 0.5) (/ 1 x)) 0.5)) into (- (+ (* 0.25 (/ 1 (pow x 3))) 0.5) (* 0.5 (/ 1 x))) 2.765 * [backup-simplify]: Simplify (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 (/ 1 (- x))))))) into (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) 2.765 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 2.765 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 2.765 * [taylor]: Taking taylor expansion of 0.5 in x 2.765 * [backup-simplify]: Simplify 0.5 into 0.5 2.765 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.765 * [taylor]: Taking taylor expansion of 0.5 in x 2.765 * [backup-simplify]: Simplify 0.5 into 0.5 2.765 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.765 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.765 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.765 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.765 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.765 * [taylor]: Taking taylor expansion of 1.0 in x 2.765 * [backup-simplify]: Simplify 1.0 into 1.0 2.765 * [taylor]: Taking taylor expansion of 1.0 in x 2.765 * [backup-simplify]: Simplify 1.0 into 1.0 2.765 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.765 * [taylor]: Taking taylor expansion of -1 in x 2.765 * [backup-simplify]: Simplify -1 into -1 2.765 * [taylor]: Taking taylor expansion of x in x 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 1 into 1 2.765 * [backup-simplify]: Simplify (/ -1 1) into -1 2.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.765 * [taylor]: Taking taylor expansion of -1 in x 2.766 * [backup-simplify]: Simplify -1 into -1 2.766 * [taylor]: Taking taylor expansion of x in x 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 1 into 1 2.766 * [backup-simplify]: Simplify (/ -1 1) into -1 2.766 * [backup-simplify]: Simplify (* -1 -1) into 1 2.766 * [backup-simplify]: Simplify (+ 0 1) into 1 2.767 * [backup-simplify]: Simplify (sqrt 1) into 1 2.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.768 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.768 * [backup-simplify]: Simplify (+ 0 0) into 0 2.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.769 * [backup-simplify]: Simplify (/ 1 1) into 1 2.769 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 2.769 * [taylor]: Taking taylor expansion of 0.5 in x 2.769 * [backup-simplify]: Simplify 0.5 into 0.5 2.769 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.769 * [taylor]: Taking taylor expansion of 0.5 in x 2.769 * [backup-simplify]: Simplify 0.5 into 0.5 2.769 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.769 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.769 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.770 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.770 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.770 * [taylor]: Taking taylor expansion of 1.0 in x 2.770 * [backup-simplify]: Simplify 1.0 into 1.0 2.770 * [taylor]: Taking taylor expansion of 1.0 in x 2.770 * [backup-simplify]: Simplify 1.0 into 1.0 2.770 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.770 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.770 * [taylor]: Taking taylor expansion of -1 in x 2.770 * [backup-simplify]: Simplify -1 into -1 2.770 * [taylor]: Taking taylor expansion of x in x 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 1 into 1 2.770 * [backup-simplify]: Simplify (/ -1 1) into -1 2.770 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.770 * [taylor]: Taking taylor expansion of -1 in x 2.770 * [backup-simplify]: Simplify -1 into -1 2.770 * [taylor]: Taking taylor expansion of x in x 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 1 into 1 2.771 * [backup-simplify]: Simplify (/ -1 1) into -1 2.771 * [backup-simplify]: Simplify (* -1 -1) into 1 2.772 * [backup-simplify]: Simplify (+ 0 1) into 1 2.772 * [backup-simplify]: Simplify (sqrt 1) into 1 2.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.774 * [backup-simplify]: Simplify (+ 0 0) into 0 2.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.776 * [backup-simplify]: Simplify (/ 1 1) into 1 2.776 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 2.776 * [backup-simplify]: Simplify 0.5 into 0.5 2.777 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.777 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.778 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.778 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.779 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.780 * [backup-simplify]: Simplify (- 0) into 0 2.780 * [backup-simplify]: Simplify (+ 0 0) into 0 2.780 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 2.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.783 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.784 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.786 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 2.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0.5 1)) (* 0 (/ 0 1)))) into (- 0.5) 2.792 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (+ (* 0 0) (* 0 1))) into (- 0.25) 2.793 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25 2.795 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.795 * [backup-simplify]: Simplify 0.25 into 0.25 2.796 * [backup-simplify]: Simplify (+ (* 0.25 (pow (/ 1 (- x)) 3)) (+ (* (- 0.5) (/ 1 (- x))) 0.5)) into (- (+ (* 0.5 (/ 1 x)) 0.5) (* 0.25 (/ 1 (pow x 3)))) 2.796 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.797 * [backup-simplify]: Simplify (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) into (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) 1.0) 2.797 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 2.797 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) 1.0) in x 2.797 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) in x 2.797 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.797 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.797 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.797 * [taylor]: Taking taylor expansion of 1.0 in x 2.797 * [backup-simplify]: Simplify 1.0 into 1.0 2.797 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.797 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.797 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.797 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.797 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.797 * [taylor]: Taking taylor expansion of 1.0 in x 2.797 * [backup-simplify]: Simplify 1.0 into 1.0 2.797 * [taylor]: Taking taylor expansion of 1.0 in x 2.797 * [backup-simplify]: Simplify 1.0 into 1.0 2.797 * [taylor]: Taking taylor expansion of (* x x) in x 2.797 * [taylor]: Taking taylor expansion of x in x 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.797 * [taylor]: Taking taylor expansion of x in x 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.798 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 2.798 * [backup-simplify]: Simplify (* 0 0) into 0 2.799 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.799 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.800 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 2.801 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.801 * [backup-simplify]: Simplify (+ 0 0) into 0 2.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.802 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 2.802 * [taylor]: Taking taylor expansion of 1.0 in x 2.802 * [backup-simplify]: Simplify 1.0 into 1.0 2.803 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sqrt 1.0))) into (/ 1.0 (sqrt 1.0)) 2.804 * [backup-simplify]: Simplify (+ (/ 1.0 (sqrt 1.0)) 1.0) into (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 2.805 * [backup-simplify]: Simplify (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) into (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 2.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 2.807 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqrt 1.0)))) into 0 2.807 * [backup-simplify]: Simplify (+ 0 0) into 0 2.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 2.808 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.808 * [taylor]: Taking taylor expansion of 0.5 in x 2.808 * [backup-simplify]: Simplify 0.5 into 0.5 2.808 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 2.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 2.808 * [taylor]: Taking taylor expansion of 1.0 in x 2.808 * [backup-simplify]: Simplify 1.0 into 1.0 2.808 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) 1.0) in x 2.809 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) in x 2.809 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.809 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.809 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.809 * [taylor]: Taking taylor expansion of 1.0 in x 2.809 * [backup-simplify]: Simplify 1.0 into 1.0 2.809 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.809 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.809 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.809 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.809 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.809 * [taylor]: Taking taylor expansion of 1.0 in x 2.809 * [backup-simplify]: Simplify 1.0 into 1.0 2.809 * [taylor]: Taking taylor expansion of 1.0 in x 2.809 * [backup-simplify]: Simplify 1.0 into 1.0 2.809 * [taylor]: Taking taylor expansion of (* x x) in x 2.809 * [taylor]: Taking taylor expansion of x in x 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [taylor]: Taking taylor expansion of x in x 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 2.810 * [backup-simplify]: Simplify (* 0 0) into 0 2.810 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.810 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.811 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 2.812 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.812 * [backup-simplify]: Simplify (+ 0 0) into 0 2.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.813 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 2.813 * [taylor]: Taking taylor expansion of 1.0 in x 2.814 * [backup-simplify]: Simplify 1.0 into 1.0 2.815 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sqrt 1.0))) into (/ 1.0 (sqrt 1.0)) 2.816 * [backup-simplify]: Simplify (+ (/ 1.0 (sqrt 1.0)) 1.0) into (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 2.818 * [backup-simplify]: Simplify (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) into (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 2.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 2.820 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqrt 1.0)))) into 0 2.820 * [backup-simplify]: Simplify (+ 0 0) into 0 2.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 2.821 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.821 * [taylor]: Taking taylor expansion of 0.5 in x 2.821 * [backup-simplify]: Simplify 0.5 into 0.5 2.821 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 2.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 2.821 * [taylor]: Taking taylor expansion of 1.0 in x 2.821 * [backup-simplify]: Simplify 1.0 into 1.0 2.824 * [backup-simplify]: Simplify (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) into (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 2.828 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) into (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2.831 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) into (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2.832 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (* 0 (sqrt 0.5))) into 0 2.832 * [backup-simplify]: Simplify (+ 0 0) into 0 2.832 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 2.834 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 2.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.834 * [backup-simplify]: Simplify (+ 0 1) into 1 2.836 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) 2.850 * [backup-simplify]: Simplify (+ (* 1.0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))) into (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 2.853 * [backup-simplify]: Simplify (+ (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 2.860 * [backup-simplify]: Simplify (/ (- (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) (pow 0 2) (+)) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 2.873 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) (sqrt 0.5)))) into (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) 2.888 * [backup-simplify]: Simplify (+ (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) 0) into (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) 2.900 * [backup-simplify]: Simplify (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) into (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) 2.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 2.902 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 2.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.903 * [backup-simplify]: Simplify (+ 0 0) into 0 2.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 2.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) (/ 0 (sqrt 1.0))))) into 0 2.906 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0)))))) into 0 2.907 * [backup-simplify]: Simplify (+ 0 0) into 0 2.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))))))) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 2.911 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (+ (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 0) (* 0 (sqrt 0.5))))) into 0 2.912 * [backup-simplify]: Simplify (+ 0 0) into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 2.913 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 2.914 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.914 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (/ -1/8 (pow (sqrt 1.0) 3)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) 2.947 * [backup-simplify]: Simplify (+ (* 1.0 (* 3/8 (/ 1 (pow (sqrt 1.0) 5)))) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))))) into (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 2.951 * [backup-simplify]: Simplify (+ (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 0) into (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 2.970 * [backup-simplify]: Simplify (/ (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (pow (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into (* 1/2 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (* 0.0625 (/ 1 (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))))))) 3.024 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (+ (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 0) (+ (* 0 0) (* (* 1/2 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (* 0.0625 (/ 1 (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))))))) (sqrt 0.5)))))) into (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))))) 3.062 * [backup-simplify]: Simplify (+ (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))))) 0) into (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))))) 3.088 * [backup-simplify]: Simplify (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))))) into (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))))) 3.115 * [backup-simplify]: Simplify (+ (* (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))))) (pow x 4)) (+ (* (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) (pow x 2)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))) into (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (+ (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)))) 1.0)) (+ (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)))))) 3.116 * [backup-simplify]: Simplify (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 (/ 1 x))))))) into (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 1.0) 3.116 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 1.0) in (x) around 0 3.116 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 1.0) in x 3.116 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 3.116 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.116 * [taylor]: Taking taylor expansion of 0.5 in x 3.116 * [backup-simplify]: Simplify 0.5 into 0.5 3.116 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 3.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 3.117 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.117 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.117 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.117 * [taylor]: Taking taylor expansion of 1.0 in x 3.117 * [backup-simplify]: Simplify 1.0 into 1.0 3.117 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.117 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.117 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.117 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.117 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.117 * [taylor]: Taking taylor expansion of 1.0 in x 3.117 * [backup-simplify]: Simplify 1.0 into 1.0 3.117 * [taylor]: Taking taylor expansion of 1.0 in x 3.117 * [backup-simplify]: Simplify 1.0 into 1.0 3.117 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.117 * [taylor]: Taking taylor expansion of x in x 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify 1 into 1 3.117 * [backup-simplify]: Simplify (/ 1 1) into 1 3.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.117 * [taylor]: Taking taylor expansion of x in x 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify 1 into 1 3.118 * [backup-simplify]: Simplify (/ 1 1) into 1 3.118 * [backup-simplify]: Simplify (* 1 1) into 1 3.119 * [backup-simplify]: Simplify (+ 0 1) into 1 3.119 * [backup-simplify]: Simplify (sqrt 1) into 1 3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.128 * [backup-simplify]: Simplify (+ 0 0) into 0 3.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.129 * [backup-simplify]: Simplify (/ 1 1) into 1 3.129 * [taylor]: Taking taylor expansion of 1.0 in x 3.129 * [backup-simplify]: Simplify 1.0 into 1.0 3.129 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.130 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.130 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.131 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.132 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 3.132 * [taylor]: Taking taylor expansion of 1.0 in x 3.132 * [backup-simplify]: Simplify 1.0 into 1.0 3.132 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 1.0) in x 3.132 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 3.132 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.132 * [taylor]: Taking taylor expansion of 0.5 in x 3.132 * [backup-simplify]: Simplify 0.5 into 0.5 3.133 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 3.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 3.133 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.133 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.133 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.133 * [taylor]: Taking taylor expansion of 1.0 in x 3.133 * [backup-simplify]: Simplify 1.0 into 1.0 3.133 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.133 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.134 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.134 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.134 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.134 * [taylor]: Taking taylor expansion of 1.0 in x 3.134 * [backup-simplify]: Simplify 1.0 into 1.0 3.134 * [taylor]: Taking taylor expansion of 1.0 in x 3.134 * [backup-simplify]: Simplify 1.0 into 1.0 3.134 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.134 * [taylor]: Taking taylor expansion of x in x 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 1 into 1 3.134 * [backup-simplify]: Simplify (/ 1 1) into 1 3.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.134 * [taylor]: Taking taylor expansion of x in x 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 1 into 1 3.134 * [backup-simplify]: Simplify (/ 1 1) into 1 3.135 * [backup-simplify]: Simplify (* 1 1) into 1 3.135 * [backup-simplify]: Simplify (+ 0 1) into 1 3.135 * [backup-simplify]: Simplify (sqrt 1) into 1 3.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.137 * [backup-simplify]: Simplify (+ 0 0) into 0 3.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.137 * [backup-simplify]: Simplify (/ 1 1) into 1 3.137 * [taylor]: Taking taylor expansion of 1.0 in x 3.137 * [backup-simplify]: Simplify 1.0 into 1.0 3.138 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.138 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.138 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.139 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.140 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 3.140 * [taylor]: Taking taylor expansion of 1.0 in x 3.140 * [backup-simplify]: Simplify 1.0 into 1.0 3.140 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 1.0)) into (* (sqrt 1.0) (sqrt 0.5)) 3.142 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) into (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3.143 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) into (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3.145 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 3.147 * [backup-simplify]: Simplify (+ (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 0) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 3.148 * [backup-simplify]: Simplify (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 3.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.149 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 3.149 * [backup-simplify]: Simplify (+ 0 0) into 0 3.152 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.125 (pow (sqrt 1.0) 3)) 3.153 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 3.157 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ -0.125 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 3.160 * [backup-simplify]: Simplify (+ (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 0) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 3.164 * [backup-simplify]: Simplify (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 3.173 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) (pow (/ 1 x) 2)) (+ (* (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) (/ 1 x)) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) into (- (+ (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2))))) 3.174 * [backup-simplify]: Simplify (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 (/ 1 (- x)))))))) into (+ 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) 3.174 * [approximate]: Taking taylor expansion of (+ 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in (x) around 0 3.174 * [taylor]: Taking taylor expansion of (+ 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 3.174 * [taylor]: Taking taylor expansion of 1.0 in x 3.174 * [backup-simplify]: Simplify 1.0 into 1.0 3.174 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 3.174 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.174 * [taylor]: Taking taylor expansion of 0.5 in x 3.174 * [backup-simplify]: Simplify 0.5 into 0.5 3.174 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 3.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 3.175 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.175 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.175 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.175 * [taylor]: Taking taylor expansion of 1.0 in x 3.175 * [backup-simplify]: Simplify 1.0 into 1.0 3.175 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.175 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.175 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.175 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.175 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.175 * [taylor]: Taking taylor expansion of 1.0 in x 3.175 * [backup-simplify]: Simplify 1.0 into 1.0 3.175 * [taylor]: Taking taylor expansion of 1.0 in x 3.175 * [backup-simplify]: Simplify 1.0 into 1.0 3.175 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.175 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.175 * [taylor]: Taking taylor expansion of -1 in x 3.175 * [backup-simplify]: Simplify -1 into -1 3.175 * [taylor]: Taking taylor expansion of x in x 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify 1 into 1 3.175 * [backup-simplify]: Simplify (/ -1 1) into -1 3.175 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.175 * [taylor]: Taking taylor expansion of -1 in x 3.175 * [backup-simplify]: Simplify -1 into -1 3.175 * [taylor]: Taking taylor expansion of x in x 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify 1 into 1 3.176 * [backup-simplify]: Simplify (/ -1 1) into -1 3.176 * [backup-simplify]: Simplify (* -1 -1) into 1 3.176 * [backup-simplify]: Simplify (+ 0 1) into 1 3.176 * [backup-simplify]: Simplify (sqrt 1) into 1 3.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.178 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.178 * [backup-simplify]: Simplify (+ 0 0) into 0 3.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.179 * [backup-simplify]: Simplify (/ 1 1) into 1 3.179 * [taylor]: Taking taylor expansion of 1.0 in x 3.179 * [backup-simplify]: Simplify 1.0 into 1.0 3.179 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.179 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.180 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.180 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.181 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 3.181 * [taylor]: Taking taylor expansion of (+ 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 3.181 * [taylor]: Taking taylor expansion of 1.0 in x 3.181 * [backup-simplify]: Simplify 1.0 into 1.0 3.181 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 3.181 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.181 * [taylor]: Taking taylor expansion of 0.5 in x 3.181 * [backup-simplify]: Simplify 0.5 into 0.5 3.181 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 3.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 3.182 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.182 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.182 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.182 * [taylor]: Taking taylor expansion of 1.0 in x 3.182 * [backup-simplify]: Simplify 1.0 into 1.0 3.182 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.182 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.182 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.182 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.182 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.182 * [taylor]: Taking taylor expansion of 1.0 in x 3.182 * [backup-simplify]: Simplify 1.0 into 1.0 3.182 * [taylor]: Taking taylor expansion of 1.0 in x 3.182 * [backup-simplify]: Simplify 1.0 into 1.0 3.182 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.182 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.182 * [taylor]: Taking taylor expansion of -1 in x 3.182 * [backup-simplify]: Simplify -1 into -1 3.182 * [taylor]: Taking taylor expansion of x in x 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify 1 into 1 3.183 * [backup-simplify]: Simplify (/ -1 1) into -1 3.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.183 * [taylor]: Taking taylor expansion of -1 in x 3.183 * [backup-simplify]: Simplify -1 into -1 3.183 * [taylor]: Taking taylor expansion of x in x 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 1 into 1 3.183 * [backup-simplify]: Simplify (/ -1 1) into -1 3.183 * [backup-simplify]: Simplify (* -1 -1) into 1 3.183 * [backup-simplify]: Simplify (+ 0 1) into 1 3.184 * [backup-simplify]: Simplify (sqrt 1) into 1 3.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.185 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.185 * [backup-simplify]: Simplify (+ 0 0) into 0 3.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.186 * [backup-simplify]: Simplify (/ 1 1) into 1 3.186 * [taylor]: Taking taylor expansion of 1.0 in x 3.186 * [backup-simplify]: Simplify 1.0 into 1.0 3.186 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.187 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.187 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.187 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.188 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 3.189 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 1.0)) into (* (sqrt 1.0) (sqrt 0.5)) 3.191 * [backup-simplify]: Simplify (+ 1.0 (* (sqrt 1.0) (sqrt 0.5))) into (+ 1.0 (* (sqrt 1.0) (sqrt 0.5))) 3.192 * [backup-simplify]: Simplify (+ 1.0 (* (sqrt 1.0) (sqrt 0.5))) into (+ 1.0 (* (sqrt 1.0) (sqrt 0.5))) 3.194 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 3.196 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 3.198 * [backup-simplify]: Simplify (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.199 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 3.199 * [backup-simplify]: Simplify (+ 0 0) into 0 3.202 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.125 (pow (sqrt 1.0) 3)) 3.203 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 3.207 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ -0.125 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 3.212 * [backup-simplify]: Simplify (+ 0 (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 3.218 * [backup-simplify]: Simplify (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 3.230 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) (/ 1 (- x))) (+ 1.0 (* (sqrt 1.0) (sqrt 0.5))))) into (- (+ 1.0 (* (sqrt 1.0) (sqrt 0.5))) (+ (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))) (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2)))))) 3.231 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2 2) 3.231 * [backup-simplify]: Simplify (hypot 1.0 x) into (hypot 1.0 x) 3.231 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 3.231 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.231 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.231 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.231 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.231 * [taylor]: Taking taylor expansion of 1.0 in x 3.231 * [backup-simplify]: Simplify 1.0 into 1.0 3.231 * [taylor]: Taking taylor expansion of 1.0 in x 3.231 * [backup-simplify]: Simplify 1.0 into 1.0 3.231 * [taylor]: Taking taylor expansion of (* x x) in x 3.231 * [taylor]: Taking taylor expansion of x in x 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify 1 into 1 3.231 * [taylor]: Taking taylor expansion of x in x 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify 1 into 1 3.231 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 3.232 * [backup-simplify]: Simplify (* 0 0) into 0 3.232 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.232 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.233 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 3.233 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.233 * [backup-simplify]: Simplify (+ 0 0) into 0 3.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.234 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.234 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.234 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.234 * [taylor]: Taking taylor expansion of (* 1.0 1.0) 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 1.0 in x 3.234 * [backup-simplify]: Simplify 1.0 into 1.0 3.234 * [taylor]: Taking taylor expansion of (* x x) in x 3.234 * [taylor]: Taking taylor expansion of x in x 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 1 into 1 3.234 * [taylor]: Taking taylor expansion of x in x 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 1 into 1 3.234 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 3.235 * [backup-simplify]: Simplify (* 0 0) into 0 3.235 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.235 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.236 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 3.236 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.236 * [backup-simplify]: Simplify (+ 0 0) into 0 3.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.237 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.237 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 3.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.238 * [backup-simplify]: Simplify (+ 0 1) into 1 3.240 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.240 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 3.241 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 3.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.242 * [backup-simplify]: Simplify (+ 0 0) into 0 3.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 3.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.244 * [backup-simplify]: Simplify (+ 0 0) into 0 3.250 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.252 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.255 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) 3.255 * [backup-simplify]: Simplify (hypot 1.0 (/ 1 x)) into (hypot 1.0 (/ 1 x)) 3.255 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 3.255 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.256 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.256 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.256 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.256 * [taylor]: Taking taylor expansion of 1.0 in x 3.256 * [backup-simplify]: Simplify 1.0 into 1.0 3.256 * [taylor]: Taking taylor expansion of 1.0 in x 3.256 * [backup-simplify]: Simplify 1.0 into 1.0 3.256 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.256 * [taylor]: Taking taylor expansion of x in x 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify 1 into 1 3.256 * [backup-simplify]: Simplify (/ 1 1) into 1 3.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.256 * [taylor]: Taking taylor expansion of x in x 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify 1 into 1 3.257 * [backup-simplify]: Simplify (/ 1 1) into 1 3.257 * [backup-simplify]: Simplify (* 1 1) into 1 3.257 * [backup-simplify]: Simplify (+ 0 1) into 1 3.258 * [backup-simplify]: Simplify (sqrt 1) into 1 3.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.260 * [backup-simplify]: Simplify (+ 0 0) into 0 3.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.261 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.261 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.261 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.261 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.261 * [taylor]: Taking taylor expansion of 1.0 in x 3.261 * [backup-simplify]: Simplify 1.0 into 1.0 3.261 * [taylor]: Taking taylor expansion of 1.0 in x 3.261 * [backup-simplify]: Simplify 1.0 into 1.0 3.261 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.261 * [taylor]: Taking taylor expansion of (/ 1 x) 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 3.262 * [backup-simplify]: Simplify (/ 1 1) into 1 3.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.262 * [taylor]: Taking taylor expansion of x in x 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 1 into 1 3.263 * [backup-simplify]: Simplify (/ 1 1) into 1 3.263 * [backup-simplify]: Simplify (* 1 1) into 1 3.263 * [backup-simplify]: Simplify (+ 0 1) into 1 3.264 * [backup-simplify]: Simplify (sqrt 1) into 1 3.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.266 * [backup-simplify]: Simplify (+ 0 0) into 0 3.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.267 * [backup-simplify]: Simplify 1 into 1 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 3.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.270 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.273 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 3.273 * [backup-simplify]: Simplify 0.5 into 0.5 3.274 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.277 * [backup-simplify]: Simplify (+ 0 0) into 0 3.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 3.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.282 * [backup-simplify]: Simplify (+ 0 0) into 0 3.286 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 3.286 * [backup-simplify]: Simplify -0.125 into -0.125 3.286 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 x) 3)) (+ (* 0.5 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) 3.286 * [backup-simplify]: Simplify (hypot 1.0 (/ 1 (- x))) into (hypot 1.0 (/ -1 x)) 3.286 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 3.286 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.286 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.287 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.287 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.287 * [taylor]: Taking taylor expansion of 1.0 in x 3.287 * [backup-simplify]: Simplify 1.0 into 1.0 3.287 * [taylor]: Taking taylor expansion of 1.0 in x 3.287 * [backup-simplify]: Simplify 1.0 into 1.0 3.287 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.287 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.287 * [taylor]: Taking taylor expansion of -1 in x 3.287 * [backup-simplify]: Simplify -1 into -1 3.287 * [taylor]: Taking taylor expansion of x in x 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (/ -1 1) into -1 3.287 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.287 * [taylor]: Taking taylor expansion of -1 in x 3.287 * [backup-simplify]: Simplify -1 into -1 3.287 * [taylor]: Taking taylor expansion of x in x 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.288 * [backup-simplify]: Simplify (/ -1 1) into -1 3.288 * [backup-simplify]: Simplify (* -1 -1) into 1 3.288 * [backup-simplify]: Simplify (+ 0 1) into 1 3.289 * [backup-simplify]: Simplify (sqrt 1) into 1 3.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.291 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.292 * [backup-simplify]: Simplify (+ 0 0) into 0 3.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.292 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.292 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.292 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.293 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.293 * [taylor]: Taking taylor expansion of 1.0 in x 3.293 * [backup-simplify]: Simplify 1.0 into 1.0 3.293 * [taylor]: Taking taylor expansion of 1.0 in x 3.293 * [backup-simplify]: Simplify 1.0 into 1.0 3.293 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.293 * [taylor]: Taking taylor expansion of -1 in x 3.293 * [backup-simplify]: Simplify -1 into -1 3.293 * [taylor]: Taking taylor expansion of x in x 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [backup-simplify]: Simplify (/ -1 1) into -1 3.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.293 * [taylor]: Taking taylor expansion of -1 in x 3.293 * [backup-simplify]: Simplify -1 into -1 3.293 * [taylor]: Taking taylor expansion of x in x 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.294 * [backup-simplify]: Simplify (/ -1 1) into -1 3.294 * [backup-simplify]: Simplify (* -1 -1) into 1 3.295 * [backup-simplify]: Simplify (+ 0 1) into 1 3.295 * [backup-simplify]: Simplify (sqrt 1) into 1 3.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.297 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.297 * [backup-simplify]: Simplify (+ 0 0) into 0 3.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.298 * [backup-simplify]: Simplify 1 into 1 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 3.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.301 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.301 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.304 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 3.304 * [backup-simplify]: Simplify 0.5 into 0.5 3.305 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 3.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.308 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.308 * [backup-simplify]: Simplify (+ 0 0) into 0 3.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 3.309 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 3.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.313 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.314 * [backup-simplify]: Simplify (+ 0 0) into 0 3.317 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 3.317 * [backup-simplify]: Simplify -0.125 into -0.125 3.318 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* 0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 3.318 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 2) 3.318 * [backup-simplify]: Simplify (hypot 1.0 x) into (hypot 1.0 x) 3.318 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 3.318 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.318 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.318 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.318 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.318 * [taylor]: Taking taylor expansion of 1.0 in x 3.318 * [backup-simplify]: Simplify 1.0 into 1.0 3.318 * [taylor]: Taking taylor expansion of 1.0 in x 3.318 * [backup-simplify]: Simplify 1.0 into 1.0 3.318 * [taylor]: Taking taylor expansion of (* x x) in x 3.318 * [taylor]: Taking taylor expansion of x in x 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1 into 1 3.319 * [taylor]: Taking taylor expansion of x in x 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1 into 1 3.319 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 3.319 * [backup-simplify]: Simplify (* 0 0) into 0 3.320 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.320 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.321 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 3.321 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.322 * [backup-simplify]: Simplify (+ 0 0) into 0 3.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.322 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.323 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.323 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.323 * [taylor]: Taking taylor expansion of (* 1.0 1.0) 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 1.0 in x 3.323 * [backup-simplify]: Simplify 1.0 into 1.0 3.323 * [taylor]: Taking taylor expansion of (* x 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 3.323 * [taylor]: Taking taylor expansion of x in x 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify 1 into 1 3.323 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 3.324 * [backup-simplify]: Simplify (* 0 0) into 0 3.324 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.325 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.325 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 3.326 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.326 * [backup-simplify]: Simplify (+ 0 0) into 0 3.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.327 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.327 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 3.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.329 * [backup-simplify]: Simplify (+ 0 1) into 1 3.332 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.333 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 3.334 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 3.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.335 * [backup-simplify]: Simplify (+ 0 0) into 0 3.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 3.337 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 3.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.340 * [backup-simplify]: Simplify (+ 0 0) into 0 3.346 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.347 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.351 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) 3.352 * [backup-simplify]: Simplify (hypot 1.0 (/ 1 x)) into (hypot 1.0 (/ 1 x)) 3.352 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 3.352 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.352 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.352 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.352 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.352 * [taylor]: Taking taylor expansion of 1.0 in x 3.352 * [backup-simplify]: Simplify 1.0 into 1.0 3.352 * [taylor]: Taking taylor expansion of 1.0 in x 3.352 * [backup-simplify]: Simplify 1.0 into 1.0 3.352 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.352 * [taylor]: Taking taylor expansion of x in x 3.352 * [backup-simplify]: Simplify 0 into 0 3.352 * [backup-simplify]: Simplify 1 into 1 3.353 * [backup-simplify]: Simplify (/ 1 1) into 1 3.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.353 * [taylor]: Taking taylor expansion of x in x 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [backup-simplify]: Simplify (/ 1 1) into 1 3.353 * [backup-simplify]: Simplify (* 1 1) into 1 3.354 * [backup-simplify]: Simplify (+ 0 1) into 1 3.354 * [backup-simplify]: Simplify (sqrt 1) into 1 3.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.363 * [backup-simplify]: Simplify (+ 0 0) into 0 3.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.363 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.364 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.364 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.364 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.364 * [taylor]: Taking taylor expansion of 1.0 in x 3.364 * [backup-simplify]: Simplify 1.0 into 1.0 3.364 * [taylor]: Taking taylor expansion of 1.0 in x 3.364 * [backup-simplify]: Simplify 1.0 into 1.0 3.364 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.364 * [taylor]: Taking taylor expansion of x in x 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.364 * [backup-simplify]: Simplify (/ 1 1) into 1 3.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.364 * [taylor]: Taking taylor expansion of x in x 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.365 * [backup-simplify]: Simplify (/ 1 1) into 1 3.365 * [backup-simplify]: Simplify (* 1 1) into 1 3.366 * [backup-simplify]: Simplify (+ 0 1) into 1 3.366 * [backup-simplify]: Simplify (sqrt 1) into 1 3.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.368 * [backup-simplify]: Simplify (+ 0 0) into 0 3.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 3.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.373 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.375 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 3.376 * [backup-simplify]: Simplify 0.5 into 0.5 3.376 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.379 * [backup-simplify]: Simplify (+ 0 0) into 0 3.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 3.380 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 3.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.383 * [backup-simplify]: Simplify (+ 0 0) into 0 3.385 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 3.386 * [backup-simplify]: Simplify -0.125 into -0.125 3.386 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 x) 3)) (+ (* 0.5 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) 3.386 * [backup-simplify]: Simplify (hypot 1.0 (/ 1 (- x))) into (hypot 1.0 (/ -1 x)) 3.386 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 3.386 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.386 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.386 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.386 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.386 * [taylor]: Taking taylor expansion of 1.0 in x 3.386 * [backup-simplify]: Simplify 1.0 into 1.0 3.386 * [taylor]: Taking taylor expansion of 1.0 in x 3.386 * [backup-simplify]: Simplify 1.0 into 1.0 3.386 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.386 * [taylor]: Taking taylor expansion of -1 in x 3.386 * [backup-simplify]: Simplify -1 into -1 3.386 * [taylor]: Taking taylor expansion of x in x 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 1 into 1 3.387 * [backup-simplify]: Simplify (/ -1 1) into -1 3.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.387 * [taylor]: Taking taylor expansion of -1 in x 3.387 * [backup-simplify]: Simplify -1 into -1 3.387 * [taylor]: Taking taylor expansion of x in x 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 1 into 1 3.387 * [backup-simplify]: Simplify (/ -1 1) into -1 3.387 * [backup-simplify]: Simplify (* -1 -1) into 1 3.387 * [backup-simplify]: Simplify (+ 0 1) into 1 3.388 * [backup-simplify]: Simplify (sqrt 1) into 1 3.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.389 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.389 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.390 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.390 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.390 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.390 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.390 * [taylor]: Taking taylor expansion of 1.0 in x 3.390 * [backup-simplify]: Simplify 1.0 into 1.0 3.390 * [taylor]: Taking taylor expansion of 1.0 in x 3.390 * [backup-simplify]: Simplify 1.0 into 1.0 3.390 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.390 * [taylor]: Taking taylor expansion of -1 in x 3.390 * [backup-simplify]: Simplify -1 into -1 3.390 * [taylor]: Taking taylor expansion of x in x 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify 1 into 1 3.390 * [backup-simplify]: Simplify (/ -1 1) into -1 3.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.390 * [taylor]: Taking taylor expansion of -1 in x 3.390 * [backup-simplify]: Simplify -1 into -1 3.390 * [taylor]: Taking taylor expansion of x in x 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify 1 into 1 3.391 * [backup-simplify]: Simplify (/ -1 1) into -1 3.391 * [backup-simplify]: Simplify (* -1 -1) into 1 3.391 * [backup-simplify]: Simplify (+ 0 1) into 1 3.391 * [backup-simplify]: Simplify (sqrt 1) into 1 3.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.393 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.393 * [backup-simplify]: Simplify (+ 0 0) into 0 3.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.394 * [backup-simplify]: Simplify 1 into 1 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 3.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.396 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.398 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 3.398 * [backup-simplify]: Simplify 0.5 into 0.5 3.398 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 3.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.400 * [backup-simplify]: Simplify (+ 0 0) into 0 3.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 3.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.403 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.403 * [backup-simplify]: Simplify (+ 0 0) into 0 3.406 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 3.406 * [backup-simplify]: Simplify -0.125 into -0.125 3.407 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* 0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 3.407 * * * [progress]: simplifying candidates 3.409 * [simplify]: Simplifying: (fma 1.0 1.0 (- (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (fma (- (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 0.5 (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (expm1 (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ (exp (* 1.0 1.0)) (exp (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (pow (* 1.0 1.0) 3) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* 0.5 1.0)) (- (* 1.0 1.0) (* 1.0 0.5)) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (expm1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (+ (* 1.0 1.0) (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (+ (* 1.0 1.0) (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ (* 0.25 (/ 1 (pow x 3))) 0.5) (* 0.5 (/ 1 x))) (- (+ (* 0.5 (/ 1 x)) 0.5) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (+ (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)))) 1.0)) (+ (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)))))) (- (+ (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2))))) (- (+ 1.0 (* (sqrt 1.0) (sqrt 0.5))) (+ (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))) (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2)))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 3.411 * * [simplify]: iteration 0: 159 enodes 3.469 * * [simplify]: iteration 1: 449 enodes 3.780 * * [simplify]: iteration 2: 2163 enodes 4.380 * * [simplify]: iteration complete: 5001 enodes 4.380 * * [simplify]: Extracting #0: cost 46 inf + 0 4.382 * * [simplify]: Extracting #1: cost 446 inf + 0 4.386 * * [simplify]: Extracting #2: cost 1121 inf + 4315 4.405 * * [simplify]: Extracting #3: cost 1100 inf + 37604 4.463 * * [simplify]: Extracting #4: cost 999 inf + 139883 4.564 * * [simplify]: Extracting #5: cost 312 inf + 290804 4.671 * * [simplify]: Extracting #6: cost 141 inf + 345014 4.805 * * [simplify]: Extracting #7: cost 38 inf + 392597 4.949 * * [simplify]: Extracting #8: cost 0 inf + 416493 5.088 * * [simplify]: Extracting #9: cost 0 inf + 416468 5.253 * [simplify]: Simplified to: (- (* (- 1.0 0.5) 1.0) (* (/ 1.0 (hypot 1.0 x)) 0.5)) (* (+ (/ 1.0 (hypot 1.0 x)) 1.0) (+ (- 0.5) 0.5)) (expm1 (- (* (- 1.0 0.5) 1.0) (* (/ 1.0 (hypot 1.0 x)) 0.5))) (log1p (- (* (- 1.0 0.5) 1.0) (* (/ 1.0 (hypot 1.0 x)) 0.5))) (* (- 0.5) (+ (/ 1.0 (hypot 1.0 x)) 1.0)) (exp (- (* (- 1.0 0.5) 1.0) (* (/ 1.0 (hypot 1.0 x)) 0.5))) (log (- (* (- 1.0 0.5) 1.0) (* (/ 1.0 (hypot 1.0 x)) 0.5))) (exp (- (* (- 1.0 0.5) 1.0) (* (/ 1.0 (hypot 1.0 x)) 0.5))) (* (cbrt (- (* (- 1.0 0.5) 1.0) (* (/ 1.0 (hypot 1.0 x)) 0.5))) (cbrt (- (* (- 1.0 0.5) 1.0) (* (/ 1.0 (hypot 1.0 x)) 0.5)))) (cbrt (- (* (- 1.0 0.5) 1.0) (* (/ 1.0 (hypot 1.0 x)) 0.5))) (* (- (* (- 1.0 0.5) 1.0) (* (/ 1.0 (hypot 1.0 x)) 0.5)) (* (- (* (- 1.0 0.5) 1.0) (* (/ 1.0 (hypot 1.0 x)) 0.5)) (- (* (- 1.0 0.5) 1.0) (* (/ 1.0 (hypot 1.0 x)) 0.5)))) (sqrt (- (* (- 1.0 0.5) 1.0) (* (/ 1.0 (hypot 1.0 x)) 0.5))) (sqrt (- (* (- 1.0 0.5) 1.0) (* (/ 1.0 (hypot 1.0 x)) 0.5))) (- (* (* (* 1.0 1.0) (* 1.0 1.0)) (* 1.0 1.0)) (* (* (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (* 1.0 1.0) (* 1.0 1.0) (* (+ (/ 1.0 (hypot 1.0 x)) 1.0) (* 0.5 (fma 0.5 (+ (/ 1.0 (hypot 1.0 x)) 1.0) (* 1.0 1.0))))) (* (- 0.5) (+ (/ 1.0 (hypot 1.0 x)) 1.0)) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 0.5 (+ (/ 1.0 (hypot 1.0 x)) 1.0) (* 1.0 1.0)) (* (- 1.0 0.5) 1.0) (* (- 1.0 0.5) 1.0) (* (- 0.5) (+ (/ 1.0 (hypot 1.0 x)) 1.0)) (expm1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (fma (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (* 1.0 1.0) 1.0)) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1.0) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (- (* (- 1.0 0.5) 1.0) (* (/ 1.0 (hypot 1.0 x)) 0.5)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (fma 1.0 1.0 (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (fma 1.0 1.0 (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (fma (/ (/ (* x x) (sqrt 1.0)) 1.0) 0.25 (- 0.5 (fma 0.1875 (* (/ (* x x) (pow (sqrt 1.0) 5/2)) (/ (* x x) (pow (sqrt 1.0) 5/2))) (/ 0.5 (sqrt 1.0))))) (+ (/ (/ 0.25 x) (* x x)) (- 0.5 (/ 0.5 x))) (- (+ 0.5 (/ 0.5 x)) (/ (/ 0.25 x) (* x x))) (fma (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) (sqrt 0.5) (fma (/ (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0))))) (/ (pow (sqrt 1.0) 5) (* (sqrt 0.5) (* (* x x) (* x x))))) 0.1875 (- 1.0 (fma (* 0.03125 (* (/ (sqrt 0.5) 1.0) (/ (* (* x x) (* x x)) (* 1.0 1.0)))) (sqrt (/ 1 (* (* (+ 1.0 (/ 1.0 (sqrt 1.0))) (+ 1.0 (/ 1.0 (sqrt 1.0)))) (+ 1.0 (/ 1.0 (sqrt 1.0)))))) (* (* 0.25 (* (/ (/ (* x x) (sqrt 1.0)) 1.0) (sqrt 0.5))) (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0)))))))))) (fma (sqrt 0.5) (sqrt 1.0) (fma (/ 0.5 x) (/ (sqrt 0.5) (sqrt 1.0)) (- 1.0 (* (/ 0.125 (* (* x x) 1.0)) (/ (sqrt 0.5) (sqrt 1.0)))))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (fma (/ 0.5 x) (/ (sqrt 0.5) (sqrt 1.0)) (* (/ 0.125 (* (* x x) 1.0)) (/ (sqrt 0.5) (sqrt 1.0))))) (fma -1/8 (* (/ (* x x) (sqrt 1.0)) (/ (* x x) 1.0)) (fma (/ (* x x) (sqrt 1.0)) 1/2 (sqrt 1.0))) (- (+ (/ 0.5 x) x) (/ (/ 0.125 (* x x)) x)) (- (/ (/ 0.125 (* x x)) x) (+ x (/ 0.5 x))) (fma -1/8 (* (/ (* x x) (sqrt 1.0)) (/ (* x x) 1.0)) (fma (/ (* x x) (sqrt 1.0)) 1/2 (sqrt 1.0))) (- (+ (/ 0.5 x) x) (/ (/ 0.125 (* x x)) x)) (- (/ (/ 0.125 (* x x)) x) (+ x (/ 0.5 x))) 5.265 * * * [progress]: adding candidates to table 5.804 * * [progress]: iteration 3 / 4 5.804 * * * [progress]: picking best candidate 5.831 * * * * [pick]: Picked # 5.832 * * * [progress]: localizing error 5.875 * * * [progress]: generating rewritten candidates 5.875 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 5.892 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.899 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.936 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 2 2) 5.942 * * * [progress]: generating series expansions 5.942 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.942 * [backup-simplify]: Simplify (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) into (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5))) 5.942 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5))) in (x) around 0 5.942 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5))) in x 5.942 * [taylor]: Taking taylor expansion of 1.0 in x 5.942 * [backup-simplify]: Simplify 1.0 into 1.0 5.942 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) in x 5.942 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.942 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.942 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.942 * [taylor]: Taking taylor expansion of 1.0 in x 5.942 * [backup-simplify]: Simplify 1.0 into 1.0 5.942 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.942 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.942 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.942 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.942 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.942 * [taylor]: Taking taylor expansion of 1.0 in x 5.942 * [backup-simplify]: Simplify 1.0 into 1.0 5.942 * [taylor]: Taking taylor expansion of 1.0 in x 5.942 * [backup-simplify]: Simplify 1.0 into 1.0 5.942 * [taylor]: Taking taylor expansion of (* x x) in x 5.942 * [taylor]: Taking taylor expansion of x in x 5.942 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify 1 into 1 5.943 * [taylor]: Taking taylor expansion of x in x 5.943 * [backup-simplify]: Simplify 0 into 0 5.943 * [backup-simplify]: Simplify 1 into 1 5.943 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 5.943 * [backup-simplify]: Simplify (* 0 0) into 0 5.944 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.944 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.944 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 5.945 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.945 * [backup-simplify]: Simplify (+ 0 0) into 0 5.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 5.946 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 5.946 * [taylor]: Taking taylor expansion of 1.0 in x 5.946 * [backup-simplify]: Simplify 1.0 into 1.0 5.947 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sqrt 1.0))) into (/ 1.0 (sqrt 1.0)) 5.948 * [backup-simplify]: Simplify (+ (/ 1.0 (sqrt 1.0)) 1.0) into (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 5.950 * [backup-simplify]: Simplify (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) into (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 5.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 5.952 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqrt 1.0)))) into 0 5.952 * [backup-simplify]: Simplify (+ 0 0) into 0 5.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 5.953 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.953 * [taylor]: Taking taylor expansion of 0.5 in x 5.953 * [backup-simplify]: Simplify 0.5 into 0.5 5.953 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 5.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 5.953 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5))) in x 5.954 * [taylor]: Taking taylor expansion of 1.0 in x 5.954 * [backup-simplify]: Simplify 1.0 into 1.0 5.954 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) in x 5.954 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.954 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.954 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.954 * [taylor]: Taking taylor expansion of 1.0 in x 5.954 * [backup-simplify]: Simplify 1.0 into 1.0 5.954 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.954 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.954 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.954 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.954 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.954 * [taylor]: Taking taylor expansion of 1.0 in x 5.954 * [backup-simplify]: Simplify 1.0 into 1.0 5.954 * [taylor]: Taking taylor expansion of 1.0 in x 5.954 * [backup-simplify]: Simplify 1.0 into 1.0 5.954 * [taylor]: Taking taylor expansion of (* x x) in x 5.954 * [taylor]: Taking taylor expansion of x in x 5.954 * [backup-simplify]: Simplify 0 into 0 5.954 * [backup-simplify]: Simplify 1 into 1 5.954 * [taylor]: Taking taylor expansion of x in x 5.954 * [backup-simplify]: Simplify 0 into 0 5.954 * [backup-simplify]: Simplify 1 into 1 5.954 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 5.955 * [backup-simplify]: Simplify (* 0 0) into 0 5.955 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.955 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.956 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 5.956 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.956 * [backup-simplify]: Simplify (+ 0 0) into 0 5.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 5.957 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 5.957 * [taylor]: Taking taylor expansion of 1.0 in x 5.957 * [backup-simplify]: Simplify 1.0 into 1.0 5.959 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sqrt 1.0))) into (/ 1.0 (sqrt 1.0)) 5.961 * [backup-simplify]: Simplify (+ (/ 1.0 (sqrt 1.0)) 1.0) into (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 5.964 * [backup-simplify]: Simplify (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) into (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 5.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 5.967 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqrt 1.0)))) into 0 5.967 * [backup-simplify]: Simplify (+ 0 0) into 0 5.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 5.969 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.969 * [taylor]: Taking taylor expansion of 0.5 in x 5.969 * [backup-simplify]: Simplify 0.5 into 0.5 5.969 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 5.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 5.980 * [backup-simplify]: Simplify (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) into (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 5.986 * [backup-simplify]: Simplify (- (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) into (- (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 5.997 * [backup-simplify]: Simplify (+ 1.0 (- (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)))) into (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 6.005 * [backup-simplify]: Simplify (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) into (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 6.008 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (* 0 (sqrt 0.5))) into 0 6.008 * [backup-simplify]: Simplify (- 0) into 0 6.008 * [backup-simplify]: Simplify (+ 0 0) into 0 6.009 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 6.012 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 6.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.013 * [backup-simplify]: Simplify (+ 0 1) into 1 6.016 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) 6.033 * [backup-simplify]: Simplify (+ (* 1.0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))) into (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 6.038 * [backup-simplify]: Simplify (+ (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 6.046 * [backup-simplify]: Simplify (/ (- (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) (pow 0 2) (+)) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 6.058 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) (sqrt 0.5)))) into (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) 6.067 * [backup-simplify]: Simplify (- (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))))) into (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 6.075 * [backup-simplify]: Simplify (+ 0 (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) into (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 6.085 * [backup-simplify]: Simplify (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) into (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 6.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 6.087 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 6.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.089 * [backup-simplify]: Simplify (+ 0 0) into 0 6.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 6.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) (/ 0 (sqrt 1.0))))) into 0 6.095 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0)))))) into 0 6.096 * [backup-simplify]: Simplify (+ 0 0) into 0 6.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))))))) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 6.106 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (+ (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 0) (* 0 (sqrt 0.5))))) into 0 6.106 * [backup-simplify]: Simplify (- 0) into 0 6.106 * [backup-simplify]: Simplify (+ 0 0) into 0 6.106 * [backup-simplify]: Simplify 0 into 0 6.107 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 6.108 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 6.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.109 * [backup-simplify]: Simplify (+ 0 0) into 0 6.113 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (/ -1/8 (pow (sqrt 1.0) 3)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) 6.136 * [backup-simplify]: Simplify (+ (* 1.0 (* 3/8 (/ 1 (pow (sqrt 1.0) 5)))) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))))) into (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 6.140 * [backup-simplify]: Simplify (+ (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 0) into (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 6.157 * [backup-simplify]: Simplify (/ (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (pow (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into (* 1/2 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (* 0.0625 (/ 1 (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))))))) 6.218 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (+ (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 0) (+ (* 0 0) (* (* 1/2 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (* 0.0625 (/ 1 (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))))))) (sqrt 0.5)))))) into (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))))) 6.238 * [backup-simplify]: Simplify (- (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))))) into (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) 6.259 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))))) into (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) 6.286 * [backup-simplify]: Simplify (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) into (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) 6.343 * [backup-simplify]: Simplify (+ (* (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) (pow x 4)) (+ (* (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) (pow x 2)) (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))))) into (- (+ (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))) (+ (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)))))) 6.343 * [backup-simplify]: Simplify (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 (/ 1 x))))))) into (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) 6.343 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in (x) around 0 6.343 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 6.343 * [taylor]: Taking taylor expansion of 1.0 in x 6.343 * [backup-simplify]: Simplify 1.0 into 1.0 6.343 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 6.343 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.343 * [taylor]: Taking taylor expansion of 0.5 in x 6.343 * [backup-simplify]: Simplify 0.5 into 0.5 6.344 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 6.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 6.345 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.345 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.345 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.345 * [taylor]: Taking taylor expansion of 1.0 in x 6.345 * [backup-simplify]: Simplify 1.0 into 1.0 6.345 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.345 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.345 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.345 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.345 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.345 * [taylor]: Taking taylor expansion of 1.0 in x 6.345 * [backup-simplify]: Simplify 1.0 into 1.0 6.345 * [taylor]: Taking taylor expansion of 1.0 in x 6.345 * [backup-simplify]: Simplify 1.0 into 1.0 6.345 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.345 * [taylor]: Taking taylor expansion of x in x 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify 1 into 1 6.346 * [backup-simplify]: Simplify (/ 1 1) into 1 6.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.346 * [taylor]: Taking taylor expansion of x in x 6.346 * [backup-simplify]: Simplify 0 into 0 6.346 * [backup-simplify]: Simplify 1 into 1 6.346 * [backup-simplify]: Simplify (/ 1 1) into 1 6.346 * [backup-simplify]: Simplify (* 1 1) into 1 6.346 * [backup-simplify]: Simplify (+ 0 1) into 1 6.347 * [backup-simplify]: Simplify (sqrt 1) into 1 6.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.348 * [backup-simplify]: Simplify (+ 0 0) into 0 6.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.349 * [backup-simplify]: Simplify (/ 1 1) into 1 6.349 * [taylor]: Taking taylor expansion of 1.0 in x 6.349 * [backup-simplify]: Simplify 1.0 into 1.0 6.349 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.350 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.350 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 6.350 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.351 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 6.351 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 6.351 * [taylor]: Taking taylor expansion of 1.0 in x 6.351 * [backup-simplify]: Simplify 1.0 into 1.0 6.351 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 6.351 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.351 * [taylor]: Taking taylor expansion of 0.5 in x 6.351 * [backup-simplify]: Simplify 0.5 into 0.5 6.352 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 6.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 6.352 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.352 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.352 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.352 * [taylor]: Taking taylor expansion of 1.0 in x 6.352 * [backup-simplify]: Simplify 1.0 into 1.0 6.352 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.352 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.352 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.352 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.352 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.352 * [taylor]: Taking taylor expansion of 1.0 in x 6.352 * [backup-simplify]: Simplify 1.0 into 1.0 6.352 * [taylor]: Taking taylor expansion of 1.0 in x 6.353 * [backup-simplify]: Simplify 1.0 into 1.0 6.353 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.353 * [taylor]: Taking taylor expansion of x in x 6.353 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify 1 into 1 6.353 * [backup-simplify]: Simplify (/ 1 1) into 1 6.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.353 * [taylor]: Taking taylor expansion of x in x 6.353 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify 1 into 1 6.353 * [backup-simplify]: Simplify (/ 1 1) into 1 6.353 * [backup-simplify]: Simplify (* 1 1) into 1 6.354 * [backup-simplify]: Simplify (+ 0 1) into 1 6.354 * [backup-simplify]: Simplify (sqrt 1) into 1 6.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.356 * [backup-simplify]: Simplify (+ 0 0) into 0 6.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.356 * [backup-simplify]: Simplify (/ 1 1) into 1 6.356 * [taylor]: Taking taylor expansion of 1.0 in x 6.357 * [backup-simplify]: Simplify 1.0 into 1.0 6.357 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.357 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.357 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 6.358 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.359 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 6.360 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 1.0)) into (* (sqrt 1.0) (sqrt 0.5)) 6.361 * [backup-simplify]: Simplify (- (* (sqrt 1.0) (sqrt 0.5))) into (- (* (sqrt 1.0) (sqrt 0.5))) 6.363 * [backup-simplify]: Simplify (+ 1.0 (- (* (sqrt 1.0) (sqrt 0.5)))) into (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 6.364 * [backup-simplify]: Simplify (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) into (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 6.367 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 6.369 * [backup-simplify]: Simplify (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 6.372 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 6.374 * [backup-simplify]: Simplify (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 6.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.376 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 6.376 * [backup-simplify]: Simplify (+ 0 0) into 0 6.381 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.125 (pow (sqrt 1.0) 3)) 6.383 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 6.389 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ -0.125 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 6.395 * [backup-simplify]: Simplify (- (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 6.399 * [backup-simplify]: Simplify (+ 0 (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 6.402 * [backup-simplify]: Simplify (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 6.407 * [backup-simplify]: Simplify (+ (* (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) (pow (/ 1 x) 2)) (+ (* (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) (/ 1 x)) (- 1.0 (* (sqrt 1.0) (sqrt 0.5))))) into (- (+ 1.0 (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2))))) (+ (* (sqrt 1.0) (sqrt 0.5)) (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))))) 6.407 * [backup-simplify]: Simplify (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 (/ 1 (- x)))))))) into (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) 6.407 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in (x) around 0 6.407 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 6.407 * [taylor]: Taking taylor expansion of 1.0 in x 6.408 * [backup-simplify]: Simplify 1.0 into 1.0 6.408 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 6.408 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.408 * [taylor]: Taking taylor expansion of 0.5 in x 6.408 * [backup-simplify]: Simplify 0.5 into 0.5 6.408 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 6.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 6.408 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.408 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.408 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.408 * [taylor]: Taking taylor expansion of 1.0 in x 6.408 * [backup-simplify]: Simplify 1.0 into 1.0 6.408 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.408 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.409 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.409 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.409 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.409 * [taylor]: Taking taylor expansion of 1.0 in x 6.409 * [backup-simplify]: Simplify 1.0 into 1.0 6.409 * [taylor]: Taking taylor expansion of 1.0 in x 6.409 * [backup-simplify]: Simplify 1.0 into 1.0 6.409 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.409 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.409 * [taylor]: Taking taylor expansion of -1 in x 6.409 * [backup-simplify]: Simplify -1 into -1 6.409 * [taylor]: Taking taylor expansion of x in x 6.409 * [backup-simplify]: Simplify 0 into 0 6.409 * [backup-simplify]: Simplify 1 into 1 6.409 * [backup-simplify]: Simplify (/ -1 1) into -1 6.409 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.409 * [taylor]: Taking taylor expansion of -1 in x 6.409 * [backup-simplify]: Simplify -1 into -1 6.409 * [taylor]: Taking taylor expansion of x in x 6.409 * [backup-simplify]: Simplify 0 into 0 6.409 * [backup-simplify]: Simplify 1 into 1 6.409 * [backup-simplify]: Simplify (/ -1 1) into -1 6.410 * [backup-simplify]: Simplify (* -1 -1) into 1 6.410 * [backup-simplify]: Simplify (+ 0 1) into 1 6.410 * [backup-simplify]: Simplify (sqrt 1) into 1 6.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.412 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.412 * [backup-simplify]: Simplify (+ 0 0) into 0 6.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.413 * [backup-simplify]: Simplify (/ 1 1) into 1 6.413 * [taylor]: Taking taylor expansion of 1.0 in x 6.413 * [backup-simplify]: Simplify 1.0 into 1.0 6.413 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.413 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.413 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 6.414 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.415 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 6.415 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 6.415 * [taylor]: Taking taylor expansion of 1.0 in x 6.415 * [backup-simplify]: Simplify 1.0 into 1.0 6.415 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 6.415 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.415 * [taylor]: Taking taylor expansion of 0.5 in x 6.415 * [backup-simplify]: Simplify 0.5 into 0.5 6.415 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 6.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 6.416 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.416 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.416 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.416 * [taylor]: Taking taylor expansion of 1.0 in x 6.416 * [backup-simplify]: Simplify 1.0 into 1.0 6.416 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.416 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.416 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.416 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.416 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.416 * [taylor]: Taking taylor expansion of 1.0 in x 6.416 * [backup-simplify]: Simplify 1.0 into 1.0 6.416 * [taylor]: Taking taylor expansion of 1.0 in x 6.416 * [backup-simplify]: Simplify 1.0 into 1.0 6.416 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.416 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.416 * [taylor]: Taking taylor expansion of -1 in x 6.416 * [backup-simplify]: Simplify -1 into -1 6.416 * [taylor]: Taking taylor expansion of x in x 6.416 * [backup-simplify]: Simplify 0 into 0 6.416 * [backup-simplify]: Simplify 1 into 1 6.416 * [backup-simplify]: Simplify (/ -1 1) into -1 6.416 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.416 * [taylor]: Taking taylor expansion of -1 in x 6.416 * [backup-simplify]: Simplify -1 into -1 6.416 * [taylor]: Taking taylor expansion of x in x 6.416 * [backup-simplify]: Simplify 0 into 0 6.416 * [backup-simplify]: Simplify 1 into 1 6.417 * [backup-simplify]: Simplify (/ -1 1) into -1 6.417 * [backup-simplify]: Simplify (* -1 -1) into 1 6.417 * [backup-simplify]: Simplify (+ 0 1) into 1 6.418 * [backup-simplify]: Simplify (sqrt 1) into 1 6.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.419 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.419 * [backup-simplify]: Simplify (+ 0 0) into 0 6.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.420 * [backup-simplify]: Simplify (/ 1 1) into 1 6.420 * [taylor]: Taking taylor expansion of 1.0 in x 6.420 * [backup-simplify]: Simplify 1.0 into 1.0 6.420 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.420 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.421 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 6.421 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.422 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 6.423 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 1.0)) into (* (sqrt 1.0) (sqrt 0.5)) 6.425 * [backup-simplify]: Simplify (- (* (sqrt 1.0) (sqrt 0.5))) into (- (* (sqrt 1.0) (sqrt 0.5))) 6.426 * [backup-simplify]: Simplify (+ 1.0 (- (* (sqrt 1.0) (sqrt 0.5)))) into (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 6.428 * [backup-simplify]: Simplify (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) into (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 6.431 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 6.433 * [backup-simplify]: Simplify (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 6.437 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 6.440 * [backup-simplify]: Simplify (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 6.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.442 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 6.442 * [backup-simplify]: Simplify (+ 0 0) into 0 6.453 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.125 (pow (sqrt 1.0) 3)) 6.455 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 6.461 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ -0.125 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 6.466 * [backup-simplify]: Simplify (- (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 6.469 * [backup-simplify]: Simplify (+ 0 (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 6.471 * [backup-simplify]: Simplify (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 6.476 * [backup-simplify]: Simplify (+ (* (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) (/ 1 (- x))) (- 1.0 (* (sqrt 1.0) (sqrt 0.5))))) into (- (+ (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))) (+ 1.0 (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2)))))) (* (sqrt 1.0) (sqrt 0.5))) 6.477 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 6.477 * [backup-simplify]: Simplify (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) into (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5))) 6.477 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5))) in (x) around 0 6.477 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5))) in x 6.477 * [taylor]: Taking taylor expansion of 1.0 in x 6.477 * [backup-simplify]: Simplify 1.0 into 1.0 6.477 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) in x 6.477 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.477 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.477 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.477 * [taylor]: Taking taylor expansion of 1.0 in x 6.477 * [backup-simplify]: Simplify 1.0 into 1.0 6.477 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.477 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.477 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.477 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.477 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.477 * [taylor]: Taking taylor expansion of 1.0 in x 6.477 * [backup-simplify]: Simplify 1.0 into 1.0 6.477 * [taylor]: Taking taylor expansion of 1.0 in x 6.477 * [backup-simplify]: Simplify 1.0 into 1.0 6.477 * [taylor]: Taking taylor expansion of (* x x) in x 6.477 * [taylor]: Taking taylor expansion of x in x 6.477 * [backup-simplify]: Simplify 0 into 0 6.477 * [backup-simplify]: Simplify 1 into 1 6.477 * [taylor]: Taking taylor expansion of x in x 6.477 * [backup-simplify]: Simplify 0 into 0 6.477 * [backup-simplify]: Simplify 1 into 1 6.478 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 6.478 * [backup-simplify]: Simplify (* 0 0) into 0 6.478 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.478 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.479 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 6.479 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.480 * [backup-simplify]: Simplify (+ 0 0) into 0 6.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 6.481 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 6.481 * [taylor]: Taking taylor expansion of 1.0 in x 6.481 * [backup-simplify]: Simplify 1.0 into 1.0 6.482 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sqrt 1.0))) into (/ 1.0 (sqrt 1.0)) 6.482 * [backup-simplify]: Simplify (+ (/ 1.0 (sqrt 1.0)) 1.0) into (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 6.484 * [backup-simplify]: Simplify (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) into (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 6.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 6.486 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqrt 1.0)))) into 0 6.486 * [backup-simplify]: Simplify (+ 0 0) into 0 6.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 6.487 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.487 * [taylor]: Taking taylor expansion of 0.5 in x 6.487 * [backup-simplify]: Simplify 0.5 into 0.5 6.487 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 6.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 6.487 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5))) in x 6.487 * [taylor]: Taking taylor expansion of 1.0 in x 6.488 * [backup-simplify]: Simplify 1.0 into 1.0 6.488 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) in x 6.488 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.488 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.488 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.488 * [taylor]: Taking taylor expansion of 1.0 in x 6.488 * [backup-simplify]: Simplify 1.0 into 1.0 6.488 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.488 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.488 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.488 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.488 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.488 * [taylor]: Taking taylor expansion of 1.0 in x 6.488 * [backup-simplify]: Simplify 1.0 into 1.0 6.488 * [taylor]: Taking taylor expansion of 1.0 in x 6.488 * [backup-simplify]: Simplify 1.0 into 1.0 6.488 * [taylor]: Taking taylor expansion of (* x x) in x 6.488 * [taylor]: Taking taylor expansion of x in x 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 1 into 1 6.488 * [taylor]: Taking taylor expansion of x in x 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 1 into 1 6.488 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 6.489 * [backup-simplify]: Simplify (* 0 0) into 0 6.489 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.489 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.490 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 6.490 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.490 * [backup-simplify]: Simplify (+ 0 0) into 0 6.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 6.491 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 6.491 * [taylor]: Taking taylor expansion of 1.0 in x 6.491 * [backup-simplify]: Simplify 1.0 into 1.0 6.492 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sqrt 1.0))) into (/ 1.0 (sqrt 1.0)) 6.493 * [backup-simplify]: Simplify (+ (/ 1.0 (sqrt 1.0)) 1.0) into (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 6.497 * [backup-simplify]: Simplify (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) into (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 6.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 6.499 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqrt 1.0)))) into 0 6.499 * [backup-simplify]: Simplify (+ 0 0) into 0 6.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 6.501 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.501 * [taylor]: Taking taylor expansion of 0.5 in x 6.501 * [backup-simplify]: Simplify 0.5 into 0.5 6.501 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 6.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 6.507 * [backup-simplify]: Simplify (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) into (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 6.512 * [backup-simplify]: Simplify (- (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) into (- (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 6.518 * [backup-simplify]: Simplify (+ 1.0 (- (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)))) into (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 6.522 * [backup-simplify]: Simplify (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) into (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 6.523 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (* 0 (sqrt 0.5))) into 0 6.523 * [backup-simplify]: Simplify (- 0) into 0 6.524 * [backup-simplify]: Simplify (+ 0 0) into 0 6.524 * [backup-simplify]: Simplify 0 into 0 6.524 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 6.525 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 6.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.526 * [backup-simplify]: Simplify (+ 0 1) into 1 6.527 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) 6.542 * [backup-simplify]: Simplify (+ (* 1.0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))) into (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 6.546 * [backup-simplify]: Simplify (+ (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 6.554 * [backup-simplify]: Simplify (/ (- (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) (pow 0 2) (+)) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 6.572 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) (sqrt 0.5)))) into (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) 6.589 * [backup-simplify]: Simplify (- (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))))) into (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 6.597 * [backup-simplify]: Simplify (+ 0 (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) into (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 6.603 * [backup-simplify]: Simplify (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) into (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 6.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 6.605 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 6.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.606 * [backup-simplify]: Simplify (+ 0 0) into 0 6.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 6.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) (/ 0 (sqrt 1.0))))) into 0 6.610 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0)))))) into 0 6.610 * [backup-simplify]: Simplify (+ 0 0) into 0 6.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))))))) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 6.615 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (+ (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 0) (* 0 (sqrt 0.5))))) into 0 6.615 * [backup-simplify]: Simplify (- 0) into 0 6.616 * [backup-simplify]: Simplify (+ 0 0) into 0 6.616 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 6.617 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 6.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.619 * [backup-simplify]: Simplify (+ 0 0) into 0 6.626 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (/ -1/8 (pow (sqrt 1.0) 3)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) 6.662 * [backup-simplify]: Simplify (+ (* 1.0 (* 3/8 (/ 1 (pow (sqrt 1.0) 5)))) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))))) into (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 6.667 * [backup-simplify]: Simplify (+ (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 0) into (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 6.706 * [backup-simplify]: Simplify (/ (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (pow (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into (* 1/2 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (* 0.0625 (/ 1 (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))))))) 6.744 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (+ (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 0) (+ (* 0 0) (* (* 1/2 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (* 0.0625 (/ 1 (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))))))) (sqrt 0.5)))))) into (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))))) 6.765 * [backup-simplify]: Simplify (- (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))))) into (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) 6.791 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))))) into (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) 6.817 * [backup-simplify]: Simplify (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) into (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) 6.864 * [backup-simplify]: Simplify (+ (* (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) (pow x 4)) (+ (* (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) (pow x 2)) (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))))) into (- (+ (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))) (+ (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)))))) 6.864 * [backup-simplify]: Simplify (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 (/ 1 x))))))) into (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) 6.864 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in (x) around 0 6.864 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 6.864 * [taylor]: Taking taylor expansion of 1.0 in x 6.864 * [backup-simplify]: Simplify 1.0 into 1.0 6.864 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 6.864 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.864 * [taylor]: Taking taylor expansion of 0.5 in x 6.865 * [backup-simplify]: Simplify 0.5 into 0.5 6.865 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 6.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 6.866 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.866 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.866 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.866 * [taylor]: Taking taylor expansion of 1.0 in x 6.866 * [backup-simplify]: Simplify 1.0 into 1.0 6.866 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.866 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.866 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.866 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.866 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.866 * [taylor]: Taking taylor expansion of 1.0 in x 6.866 * [backup-simplify]: Simplify 1.0 into 1.0 6.866 * [taylor]: Taking taylor expansion of 1.0 in x 6.866 * [backup-simplify]: Simplify 1.0 into 1.0 6.866 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.866 * [taylor]: Taking taylor expansion of x in x 6.867 * [backup-simplify]: Simplify 0 into 0 6.867 * [backup-simplify]: Simplify 1 into 1 6.867 * [backup-simplify]: Simplify (/ 1 1) into 1 6.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.867 * [taylor]: Taking taylor expansion of x in x 6.867 * [backup-simplify]: Simplify 0 into 0 6.867 * [backup-simplify]: Simplify 1 into 1 6.867 * [backup-simplify]: Simplify (/ 1 1) into 1 6.868 * [backup-simplify]: Simplify (* 1 1) into 1 6.868 * [backup-simplify]: Simplify (+ 0 1) into 1 6.869 * [backup-simplify]: Simplify (sqrt 1) into 1 6.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.871 * [backup-simplify]: Simplify (+ 0 0) into 0 6.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.872 * [backup-simplify]: Simplify (/ 1 1) into 1 6.872 * [taylor]: Taking taylor expansion of 1.0 in x 6.872 * [backup-simplify]: Simplify 1.0 into 1.0 6.873 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.873 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.874 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 6.874 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.876 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 6.876 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 6.876 * [taylor]: Taking taylor expansion of 1.0 in x 6.876 * [backup-simplify]: Simplify 1.0 into 1.0 6.876 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 6.876 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.876 * [taylor]: Taking taylor expansion of 0.5 in x 6.876 * [backup-simplify]: Simplify 0.5 into 0.5 6.876 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 6.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 6.877 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.877 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.877 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.877 * [taylor]: Taking taylor expansion of 1.0 in x 6.877 * [backup-simplify]: Simplify 1.0 into 1.0 6.877 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.877 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.877 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.877 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.877 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.877 * [taylor]: Taking taylor expansion of 1.0 in x 6.877 * [backup-simplify]: Simplify 1.0 into 1.0 6.877 * [taylor]: Taking taylor expansion of 1.0 in x 6.878 * [backup-simplify]: Simplify 1.0 into 1.0 6.878 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.878 * [taylor]: Taking taylor expansion of x in x 6.878 * [backup-simplify]: Simplify 0 into 0 6.878 * [backup-simplify]: Simplify 1 into 1 6.878 * [backup-simplify]: Simplify (/ 1 1) into 1 6.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.878 * [taylor]: Taking taylor expansion of x in x 6.878 * [backup-simplify]: Simplify 0 into 0 6.878 * [backup-simplify]: Simplify 1 into 1 6.879 * [backup-simplify]: Simplify (/ 1 1) into 1 6.879 * [backup-simplify]: Simplify (* 1 1) into 1 6.879 * [backup-simplify]: Simplify (+ 0 1) into 1 6.880 * [backup-simplify]: Simplify (sqrt 1) into 1 6.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.882 * [backup-simplify]: Simplify (+ 0 0) into 0 6.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.883 * [backup-simplify]: Simplify (/ 1 1) into 1 6.883 * [taylor]: Taking taylor expansion of 1.0 in x 6.883 * [backup-simplify]: Simplify 1.0 into 1.0 6.884 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.884 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.885 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 6.885 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.887 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 6.888 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 1.0)) into (* (sqrt 1.0) (sqrt 0.5)) 6.891 * [backup-simplify]: Simplify (- (* (sqrt 1.0) (sqrt 0.5))) into (- (* (sqrt 1.0) (sqrt 0.5))) 6.894 * [backup-simplify]: Simplify (+ 1.0 (- (* (sqrt 1.0) (sqrt 0.5)))) into (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 6.896 * [backup-simplify]: Simplify (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) into (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 6.900 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 6.903 * [backup-simplify]: Simplify (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 6.908 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 6.911 * [backup-simplify]: Simplify (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 6.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.912 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 6.913 * [backup-simplify]: Simplify (+ 0 0) into 0 6.918 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.125 (pow (sqrt 1.0) 3)) 6.919 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 6.925 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ -0.125 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 6.937 * [backup-simplify]: Simplify (- (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 6.942 * [backup-simplify]: Simplify (+ 0 (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 6.945 * [backup-simplify]: Simplify (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 6.954 * [backup-simplify]: Simplify (+ (* (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) (pow (/ 1 x) 2)) (+ (* (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) (/ 1 x)) (- 1.0 (* (sqrt 1.0) (sqrt 0.5))))) into (- (+ 1.0 (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2))))) (+ (* (sqrt 1.0) (sqrt 0.5)) (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))))) 6.954 * [backup-simplify]: Simplify (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 (/ 1 (- x)))))))) into (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) 6.954 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in (x) around 0 6.954 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 6.954 * [taylor]: Taking taylor expansion of 1.0 in x 6.954 * [backup-simplify]: Simplify 1.0 into 1.0 6.954 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 6.954 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.954 * [taylor]: Taking taylor expansion of 0.5 in x 6.954 * [backup-simplify]: Simplify 0.5 into 0.5 6.955 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 6.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 6.956 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.956 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.956 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.956 * [taylor]: Taking taylor expansion of 1.0 in x 6.956 * [backup-simplify]: Simplify 1.0 into 1.0 6.956 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.956 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.956 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.956 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.956 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.956 * [taylor]: Taking taylor expansion of 1.0 in x 6.956 * [backup-simplify]: Simplify 1.0 into 1.0 6.956 * [taylor]: Taking taylor expansion of 1.0 in x 6.956 * [backup-simplify]: Simplify 1.0 into 1.0 6.956 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.956 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.956 * [taylor]: Taking taylor expansion of -1 in x 6.956 * [backup-simplify]: Simplify -1 into -1 6.956 * [taylor]: Taking taylor expansion of x in x 6.956 * [backup-simplify]: Simplify 0 into 0 6.956 * [backup-simplify]: Simplify 1 into 1 6.957 * [backup-simplify]: Simplify (/ -1 1) into -1 6.957 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.957 * [taylor]: Taking taylor expansion of -1 in x 6.957 * [backup-simplify]: Simplify -1 into -1 6.957 * [taylor]: Taking taylor expansion of x in x 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 1 into 1 6.957 * [backup-simplify]: Simplify (/ -1 1) into -1 6.958 * [backup-simplify]: Simplify (* -1 -1) into 1 6.958 * [backup-simplify]: Simplify (+ 0 1) into 1 6.958 * [backup-simplify]: Simplify (sqrt 1) into 1 6.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.959 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.960 * [backup-simplify]: Simplify (+ 0 0) into 0 6.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.960 * [backup-simplify]: Simplify (/ 1 1) into 1 6.960 * [taylor]: Taking taylor expansion of 1.0 in x 6.960 * [backup-simplify]: Simplify 1.0 into 1.0 6.961 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.961 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.961 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 6.961 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.962 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 6.962 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 6.962 * [taylor]: Taking taylor expansion of 1.0 in x 6.962 * [backup-simplify]: Simplify 1.0 into 1.0 6.962 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 6.962 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.963 * [taylor]: Taking taylor expansion of 0.5 in x 6.963 * [backup-simplify]: Simplify 0.5 into 0.5 6.963 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 6.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 6.963 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.963 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.963 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.963 * [taylor]: Taking taylor expansion of 1.0 in x 6.963 * [backup-simplify]: Simplify 1.0 into 1.0 6.963 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.963 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.963 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.964 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.964 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.964 * [taylor]: Taking taylor expansion of 1.0 in x 6.964 * [backup-simplify]: Simplify 1.0 into 1.0 6.964 * [taylor]: Taking taylor expansion of 1.0 in x 6.964 * [backup-simplify]: Simplify 1.0 into 1.0 6.964 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.964 * [taylor]: Taking taylor expansion of -1 in x 6.964 * [backup-simplify]: Simplify -1 into -1 6.964 * [taylor]: Taking taylor expansion of x in x 6.964 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify 1 into 1 6.964 * [backup-simplify]: Simplify (/ -1 1) into -1 6.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.964 * [taylor]: Taking taylor expansion of -1 in x 6.964 * [backup-simplify]: Simplify -1 into -1 6.964 * [taylor]: Taking taylor expansion of x in x 6.964 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify 1 into 1 6.964 * [backup-simplify]: Simplify (/ -1 1) into -1 6.965 * [backup-simplify]: Simplify (* -1 -1) into 1 6.965 * [backup-simplify]: Simplify (+ 0 1) into 1 6.965 * [backup-simplify]: Simplify (sqrt 1) into 1 6.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.967 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.967 * [backup-simplify]: Simplify (+ 0 0) into 0 6.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.967 * [backup-simplify]: Simplify (/ 1 1) into 1 6.967 * [taylor]: Taking taylor expansion of 1.0 in x 6.967 * [backup-simplify]: Simplify 1.0 into 1.0 6.968 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.968 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.968 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 6.969 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.969 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 6.970 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 1.0)) into (* (sqrt 1.0) (sqrt 0.5)) 6.972 * [backup-simplify]: Simplify (- (* (sqrt 1.0) (sqrt 0.5))) into (- (* (sqrt 1.0) (sqrt 0.5))) 6.973 * [backup-simplify]: Simplify (+ 1.0 (- (* (sqrt 1.0) (sqrt 0.5)))) into (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 6.975 * [backup-simplify]: Simplify (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) into (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 6.977 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 6.980 * [backup-simplify]: Simplify (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 6.984 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 6.987 * [backup-simplify]: Simplify (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 6.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.988 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 6.989 * [backup-simplify]: Simplify (+ 0 0) into 0 6.994 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.125 (pow (sqrt 1.0) 3)) 6.995 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 7.002 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ -0.125 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 7.006 * [backup-simplify]: Simplify (- (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 7.008 * [backup-simplify]: Simplify (+ 0 (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 7.010 * [backup-simplify]: Simplify (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 7.016 * [backup-simplify]: Simplify (+ (* (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) (/ 1 (- x))) (- 1.0 (* (sqrt 1.0) (sqrt 0.5))))) into (- (+ (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))) (+ 1.0 (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2)))))) (* (sqrt 1.0) (sqrt 0.5))) 7.016 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.016 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) into (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5))) 7.016 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5))) in (x) around 0 7.016 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5))) in x 7.016 * [taylor]: Taking taylor expansion of 1.0 in x 7.016 * [backup-simplify]: Simplify 1.0 into 1.0 7.016 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) in x 7.016 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.017 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.017 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.017 * [taylor]: Taking taylor expansion of 1.0 in x 7.017 * [backup-simplify]: Simplify 1.0 into 1.0 7.017 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.017 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.017 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.017 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.017 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.017 * [taylor]: Taking taylor expansion of 1.0 in x 7.017 * [backup-simplify]: Simplify 1.0 into 1.0 7.017 * [taylor]: Taking taylor expansion of 1.0 in x 7.017 * [backup-simplify]: Simplify 1.0 into 1.0 7.017 * [taylor]: Taking taylor expansion of (* x x) in x 7.017 * [taylor]: Taking taylor expansion of x in x 7.017 * [backup-simplify]: Simplify 0 into 0 7.017 * [backup-simplify]: Simplify 1 into 1 7.017 * [taylor]: Taking taylor expansion of x in x 7.017 * [backup-simplify]: Simplify 0 into 0 7.017 * [backup-simplify]: Simplify 1 into 1 7.017 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 7.018 * [backup-simplify]: Simplify (* 0 0) into 0 7.018 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.018 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.019 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 7.019 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.019 * [backup-simplify]: Simplify (+ 0 0) into 0 7.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.020 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 7.020 * [taylor]: Taking taylor expansion of 1.0 in x 7.020 * [backup-simplify]: Simplify 1.0 into 1.0 7.021 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sqrt 1.0))) into (/ 1.0 (sqrt 1.0)) 7.022 * [backup-simplify]: Simplify (+ (/ 1.0 (sqrt 1.0)) 1.0) into (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 7.024 * [backup-simplify]: Simplify (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) into (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 7.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 7.026 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqrt 1.0)))) into 0 7.026 * [backup-simplify]: Simplify (+ 0 0) into 0 7.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 7.027 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.027 * [taylor]: Taking taylor expansion of 0.5 in x 7.027 * [backup-simplify]: Simplify 0.5 into 0.5 7.027 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 7.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 7.028 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5))) in x 7.028 * [taylor]: Taking taylor expansion of 1.0 in x 7.028 * [backup-simplify]: Simplify 1.0 into 1.0 7.028 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) in x 7.028 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.028 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.028 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.028 * [taylor]: Taking taylor expansion of 1.0 in x 7.028 * [backup-simplify]: Simplify 1.0 into 1.0 7.028 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.028 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.028 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.028 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.028 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.028 * [taylor]: Taking taylor expansion of 1.0 in x 7.028 * [backup-simplify]: Simplify 1.0 into 1.0 7.028 * [taylor]: Taking taylor expansion of 1.0 in x 7.028 * [backup-simplify]: Simplify 1.0 into 1.0 7.028 * [taylor]: Taking taylor expansion of (* x x) in x 7.028 * [taylor]: Taking taylor expansion of x in x 7.028 * [backup-simplify]: Simplify 0 into 0 7.028 * [backup-simplify]: Simplify 1 into 1 7.028 * [taylor]: Taking taylor expansion of x in x 7.028 * [backup-simplify]: Simplify 0 into 0 7.028 * [backup-simplify]: Simplify 1 into 1 7.029 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 7.029 * [backup-simplify]: Simplify (* 0 0) into 0 7.029 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.029 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.030 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 7.031 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.031 * [backup-simplify]: Simplify (+ 0 0) into 0 7.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.033 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 7.033 * [taylor]: Taking taylor expansion of 1.0 in x 7.033 * [backup-simplify]: Simplify 1.0 into 1.0 7.034 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sqrt 1.0))) into (/ 1.0 (sqrt 1.0)) 7.035 * [backup-simplify]: Simplify (+ (/ 1.0 (sqrt 1.0)) 1.0) into (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 7.038 * [backup-simplify]: Simplify (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) into (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 7.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 7.040 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqrt 1.0)))) into 0 7.040 * [backup-simplify]: Simplify (+ 0 0) into 0 7.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 7.042 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.042 * [taylor]: Taking taylor expansion of 0.5 in x 7.042 * [backup-simplify]: Simplify 0.5 into 0.5 7.042 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 7.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 7.055 * [backup-simplify]: Simplify (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) into (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 7.063 * [backup-simplify]: Simplify (- (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) into (- (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 7.070 * [backup-simplify]: Simplify (+ 1.0 (- (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)))) into (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 7.077 * [backup-simplify]: Simplify (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) into (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 7.079 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (* 0 (sqrt 0.5))) into 0 7.079 * [backup-simplify]: Simplify (- 0) into 0 7.079 * [backup-simplify]: Simplify (+ 0 0) into 0 7.079 * [backup-simplify]: Simplify 0 into 0 7.081 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 7.082 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 7.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.083 * [backup-simplify]: Simplify (+ 0 1) into 1 7.086 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 7.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) 7.102 * [backup-simplify]: Simplify (+ (* 1.0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))) into (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 7.106 * [backup-simplify]: Simplify (+ (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 7.115 * [backup-simplify]: Simplify (/ (- (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) (pow 0 2) (+)) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 7.126 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) (sqrt 0.5)))) into (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) 7.140 * [backup-simplify]: Simplify (- (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))))) into (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 7.152 * [backup-simplify]: Simplify (+ 0 (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) into (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 7.158 * [backup-simplify]: Simplify (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) into (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 7.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 7.159 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 7.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.160 * [backup-simplify]: Simplify (+ 0 0) into 0 7.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 7.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) (/ 0 (sqrt 1.0))))) into 0 7.164 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0)))))) into 0 7.164 * [backup-simplify]: Simplify (+ 0 0) into 0 7.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))))))) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 7.174 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (+ (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 0) (* 0 (sqrt 0.5))))) into 0 7.174 * [backup-simplify]: Simplify (- 0) into 0 7.174 * [backup-simplify]: Simplify (+ 0 0) into 0 7.174 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 7.176 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 7.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.177 * [backup-simplify]: Simplify (+ 0 0) into 0 7.183 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 7.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (/ -1/8 (pow (sqrt 1.0) 3)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) 7.203 * [backup-simplify]: Simplify (+ (* 1.0 (* 3/8 (/ 1 (pow (sqrt 1.0) 5)))) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))))) into (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 7.206 * [backup-simplify]: Simplify (+ (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 0) into (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 7.229 * [backup-simplify]: Simplify (/ (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (pow (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into (* 1/2 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (* 0.0625 (/ 1 (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))))))) 7.301 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (+ (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 0) (+ (* 0 0) (* (* 1/2 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (* 0.0625 (/ 1 (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))))))) (sqrt 0.5)))))) into (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))))) 7.336 * [backup-simplify]: Simplify (- (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))))) into (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) 7.362 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))))) into (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) 7.382 * [backup-simplify]: Simplify (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) into (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) 7.435 * [backup-simplify]: Simplify (+ (* (- (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5))))) (pow x 4)) (+ (* (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) (pow x 2)) (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))))) into (- (+ (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))) (+ (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)))))) 7.436 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 (/ 1 x)))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 (/ 1 x))))))))) into (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) 7.436 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in (x) around 0 7.436 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 7.436 * [taylor]: Taking taylor expansion of 1.0 in x 7.436 * [backup-simplify]: Simplify 1.0 into 1.0 7.436 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 7.436 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.436 * [taylor]: Taking taylor expansion of 0.5 in x 7.436 * [backup-simplify]: Simplify 0.5 into 0.5 7.436 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 7.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 7.437 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.437 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.437 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.437 * [taylor]: Taking taylor expansion of 1.0 in x 7.437 * [backup-simplify]: Simplify 1.0 into 1.0 7.437 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.437 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.437 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.437 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.437 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.437 * [taylor]: Taking taylor expansion of 1.0 in x 7.437 * [backup-simplify]: Simplify 1.0 into 1.0 7.437 * [taylor]: Taking taylor expansion of 1.0 in x 7.437 * [backup-simplify]: Simplify 1.0 into 1.0 7.437 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.437 * [taylor]: Taking taylor expansion of x in x 7.437 * [backup-simplify]: Simplify 0 into 0 7.437 * [backup-simplify]: Simplify 1 into 1 7.438 * [backup-simplify]: Simplify (/ 1 1) into 1 7.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.438 * [taylor]: Taking taylor expansion of x in x 7.438 * [backup-simplify]: Simplify 0 into 0 7.438 * [backup-simplify]: Simplify 1 into 1 7.438 * [backup-simplify]: Simplify (/ 1 1) into 1 7.438 * [backup-simplify]: Simplify (* 1 1) into 1 7.438 * [backup-simplify]: Simplify (+ 0 1) into 1 7.439 * [backup-simplify]: Simplify (sqrt 1) into 1 7.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.440 * [backup-simplify]: Simplify (+ 0 0) into 0 7.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.441 * [backup-simplify]: Simplify (/ 1 1) into 1 7.441 * [taylor]: Taking taylor expansion of 1.0 in x 7.441 * [backup-simplify]: Simplify 1.0 into 1.0 7.441 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.441 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.442 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.442 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.443 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 7.443 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 7.443 * [taylor]: Taking taylor expansion of 1.0 in x 7.443 * [backup-simplify]: Simplify 1.0 into 1.0 7.443 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 7.443 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.443 * [taylor]: Taking taylor expansion of 0.5 in x 7.443 * [backup-simplify]: Simplify 0.5 into 0.5 7.443 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 7.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 7.444 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.444 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.444 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.444 * [taylor]: Taking taylor expansion of 1.0 in x 7.444 * [backup-simplify]: Simplify 1.0 into 1.0 7.444 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.444 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.444 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.444 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.444 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.444 * [taylor]: Taking taylor expansion of 1.0 in x 7.444 * [backup-simplify]: Simplify 1.0 into 1.0 7.444 * [taylor]: Taking taylor expansion of 1.0 in x 7.444 * [backup-simplify]: Simplify 1.0 into 1.0 7.444 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.444 * [taylor]: Taking taylor expansion of x in x 7.444 * [backup-simplify]: Simplify 0 into 0 7.444 * [backup-simplify]: Simplify 1 into 1 7.444 * [backup-simplify]: Simplify (/ 1 1) into 1 7.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.444 * [taylor]: Taking taylor expansion of x in x 7.444 * [backup-simplify]: Simplify 0 into 0 7.444 * [backup-simplify]: Simplify 1 into 1 7.445 * [backup-simplify]: Simplify (/ 1 1) into 1 7.445 * [backup-simplify]: Simplify (* 1 1) into 1 7.445 * [backup-simplify]: Simplify (+ 0 1) into 1 7.445 * [backup-simplify]: Simplify (sqrt 1) into 1 7.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.447 * [backup-simplify]: Simplify (+ 0 0) into 0 7.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.448 * [backup-simplify]: Simplify (/ 1 1) into 1 7.448 * [taylor]: Taking taylor expansion of 1.0 in x 7.448 * [backup-simplify]: Simplify 1.0 into 1.0 7.448 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.448 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.449 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.449 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.450 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 7.451 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 1.0)) into (* (sqrt 1.0) (sqrt 0.5)) 7.452 * [backup-simplify]: Simplify (- (* (sqrt 1.0) (sqrt 0.5))) into (- (* (sqrt 1.0) (sqrt 0.5))) 7.454 * [backup-simplify]: Simplify (+ 1.0 (- (* (sqrt 1.0) (sqrt 0.5)))) into (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 7.455 * [backup-simplify]: Simplify (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) into (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 7.457 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 7.460 * [backup-simplify]: Simplify (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 7.463 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 7.466 * [backup-simplify]: Simplify (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 7.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.467 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 7.468 * [backup-simplify]: Simplify (+ 0 0) into 0 7.473 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.125 (pow (sqrt 1.0) 3)) 7.474 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 7.480 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ -0.125 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 7.487 * [backup-simplify]: Simplify (- (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 7.492 * [backup-simplify]: Simplify (+ 0 (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 7.495 * [backup-simplify]: Simplify (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 7.500 * [backup-simplify]: Simplify (+ (* (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) (pow (/ 1 x) 2)) (+ (* (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) (/ 1 x)) (- 1.0 (* (sqrt 1.0) (sqrt 0.5))))) into (- (+ 1.0 (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2))))) (+ (* (sqrt 1.0) (sqrt 0.5)) (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))))) 7.500 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 (/ 1 (- x))))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 (/ 1 (- x)))))))))) into (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) 7.500 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in (x) around 0 7.500 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 7.500 * [taylor]: Taking taylor expansion of 1.0 in x 7.500 * [backup-simplify]: Simplify 1.0 into 1.0 7.500 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 7.500 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.500 * [taylor]: Taking taylor expansion of 0.5 in x 7.500 * [backup-simplify]: Simplify 0.5 into 0.5 7.501 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 7.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 7.501 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.501 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.501 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.501 * [taylor]: Taking taylor expansion of 1.0 in x 7.501 * [backup-simplify]: Simplify 1.0 into 1.0 7.501 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.501 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.501 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.501 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.501 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.501 * [taylor]: Taking taylor expansion of 1.0 in x 7.501 * [backup-simplify]: Simplify 1.0 into 1.0 7.501 * [taylor]: Taking taylor expansion of 1.0 in x 7.501 * [backup-simplify]: Simplify 1.0 into 1.0 7.501 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.502 * [taylor]: Taking taylor expansion of -1 in x 7.502 * [backup-simplify]: Simplify -1 into -1 7.502 * [taylor]: Taking taylor expansion of x in x 7.502 * [backup-simplify]: Simplify 0 into 0 7.502 * [backup-simplify]: Simplify 1 into 1 7.502 * [backup-simplify]: Simplify (/ -1 1) into -1 7.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.502 * [taylor]: Taking taylor expansion of -1 in x 7.502 * [backup-simplify]: Simplify -1 into -1 7.502 * [taylor]: Taking taylor expansion of x in x 7.502 * [backup-simplify]: Simplify 0 into 0 7.502 * [backup-simplify]: Simplify 1 into 1 7.502 * [backup-simplify]: Simplify (/ -1 1) into -1 7.503 * [backup-simplify]: Simplify (* -1 -1) into 1 7.503 * [backup-simplify]: Simplify (+ 0 1) into 1 7.503 * [backup-simplify]: Simplify (sqrt 1) into 1 7.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.504 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.505 * [backup-simplify]: Simplify (+ 0 0) into 0 7.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.505 * [backup-simplify]: Simplify (/ 1 1) into 1 7.505 * [taylor]: Taking taylor expansion of 1.0 in x 7.505 * [backup-simplify]: Simplify 1.0 into 1.0 7.506 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.506 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.506 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.507 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.507 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 7.507 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 7.508 * [taylor]: Taking taylor expansion of 1.0 in x 7.508 * [backup-simplify]: Simplify 1.0 into 1.0 7.508 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 7.508 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.508 * [taylor]: Taking taylor expansion of 0.5 in x 7.508 * [backup-simplify]: Simplify 0.5 into 0.5 7.508 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 7.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 7.508 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.508 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.508 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.508 * [taylor]: Taking taylor expansion of 1.0 in x 7.508 * [backup-simplify]: Simplify 1.0 into 1.0 7.508 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.508 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.509 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.509 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.509 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.509 * [taylor]: Taking taylor expansion of 1.0 in x 7.509 * [backup-simplify]: Simplify 1.0 into 1.0 7.509 * [taylor]: Taking taylor expansion of 1.0 in x 7.509 * [backup-simplify]: Simplify 1.0 into 1.0 7.509 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.509 * [taylor]: Taking taylor expansion of -1 in x 7.509 * [backup-simplify]: Simplify -1 into -1 7.509 * [taylor]: Taking taylor expansion of x in x 7.509 * [backup-simplify]: Simplify 0 into 0 7.509 * [backup-simplify]: Simplify 1 into 1 7.509 * [backup-simplify]: Simplify (/ -1 1) into -1 7.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.509 * [taylor]: Taking taylor expansion of -1 in x 7.509 * [backup-simplify]: Simplify -1 into -1 7.509 * [taylor]: Taking taylor expansion of x in x 7.509 * [backup-simplify]: Simplify 0 into 0 7.509 * [backup-simplify]: Simplify 1 into 1 7.510 * [backup-simplify]: Simplify (/ -1 1) into -1 7.510 * [backup-simplify]: Simplify (* -1 -1) into 1 7.510 * [backup-simplify]: Simplify (+ 0 1) into 1 7.510 * [backup-simplify]: Simplify (sqrt 1) into 1 7.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.512 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.512 * [backup-simplify]: Simplify (+ 0 0) into 0 7.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.513 * [backup-simplify]: Simplify (/ 1 1) into 1 7.513 * [taylor]: Taking taylor expansion of 1.0 in x 7.513 * [backup-simplify]: Simplify 1.0 into 1.0 7.513 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.513 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.514 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.514 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.515 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 7.516 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 1.0)) into (* (sqrt 1.0) (sqrt 0.5)) 7.517 * [backup-simplify]: Simplify (- (* (sqrt 1.0) (sqrt 0.5))) into (- (* (sqrt 1.0) (sqrt 0.5))) 7.520 * [backup-simplify]: Simplify (+ 1.0 (- (* (sqrt 1.0) (sqrt 0.5)))) into (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 7.522 * [backup-simplify]: Simplify (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) into (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 7.526 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 7.530 * [backup-simplify]: Simplify (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 7.534 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 7.538 * [backup-simplify]: Simplify (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) 7.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.539 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 7.540 * [backup-simplify]: Simplify (+ 0 0) into 0 7.546 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.125 (pow (sqrt 1.0) 3)) 7.553 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 7.562 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ -0.125 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 7.568 * [backup-simplify]: Simplify (- (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 7.574 * [backup-simplify]: Simplify (+ 0 (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 7.577 * [backup-simplify]: Simplify (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) into (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) 7.586 * [backup-simplify]: Simplify (+ (* (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) (/ 1 (- x))) (- 1.0 (* (sqrt 1.0) (sqrt 0.5))))) into (- (+ (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))) (+ 1.0 (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2)))))) (* (sqrt 1.0) (sqrt 0.5))) 7.586 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 2 2) 7.587 * [backup-simplify]: Simplify (hypot 1.0 x) into (hypot 1.0 x) 7.587 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 7.587 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.587 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.587 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.587 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.587 * [taylor]: Taking taylor expansion of 1.0 in x 7.587 * [backup-simplify]: Simplify 1.0 into 1.0 7.587 * [taylor]: Taking taylor expansion of 1.0 in x 7.587 * [backup-simplify]: Simplify 1.0 into 1.0 7.587 * [taylor]: Taking taylor expansion of (* x x) in x 7.587 * [taylor]: Taking taylor expansion of x in x 7.587 * [backup-simplify]: Simplify 0 into 0 7.587 * [backup-simplify]: Simplify 1 into 1 7.587 * [taylor]: Taking taylor expansion of x in x 7.587 * [backup-simplify]: Simplify 0 into 0 7.587 * [backup-simplify]: Simplify 1 into 1 7.588 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 7.588 * [backup-simplify]: Simplify (* 0 0) into 0 7.588 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.589 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.589 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 7.590 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.590 * [backup-simplify]: Simplify (+ 0 0) into 0 7.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.591 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.591 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.591 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.591 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.591 * [taylor]: Taking taylor expansion of 1.0 in x 7.591 * [backup-simplify]: Simplify 1.0 into 1.0 7.591 * [taylor]: Taking taylor expansion of 1.0 in x 7.592 * [backup-simplify]: Simplify 1.0 into 1.0 7.592 * [taylor]: Taking taylor expansion of (* x x) in x 7.592 * [taylor]: Taking taylor expansion of x in x 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 1 into 1 7.592 * [taylor]: Taking taylor expansion of x in x 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 1 into 1 7.592 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 7.592 * [backup-simplify]: Simplify (* 0 0) into 0 7.593 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.593 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.594 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 7.595 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.595 * [backup-simplify]: Simplify (+ 0 0) into 0 7.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.596 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.596 * [backup-simplify]: Simplify 0 into 0 7.597 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 7.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.598 * [backup-simplify]: Simplify (+ 0 1) into 1 7.601 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 7.602 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 7.603 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 7.604 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.604 * [backup-simplify]: Simplify (+ 0 0) into 0 7.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 7.606 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 7.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.609 * [backup-simplify]: Simplify (+ 0 0) into 0 7.615 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 7.617 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 7.622 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) 7.622 * [backup-simplify]: Simplify (hypot 1.0 (/ 1 x)) into (hypot 1.0 (/ 1 x)) 7.622 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 7.622 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.622 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.622 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.622 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.622 * [taylor]: Taking taylor expansion of 1.0 in x 7.622 * [backup-simplify]: Simplify 1.0 into 1.0 7.622 * [taylor]: Taking taylor expansion of 1.0 in x 7.622 * [backup-simplify]: Simplify 1.0 into 1.0 7.622 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.622 * [taylor]: Taking taylor expansion of x in x 7.622 * [backup-simplify]: Simplify 0 into 0 7.622 * [backup-simplify]: Simplify 1 into 1 7.623 * [backup-simplify]: Simplify (/ 1 1) into 1 7.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.623 * [taylor]: Taking taylor expansion of x in x 7.623 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify 1 into 1 7.623 * [backup-simplify]: Simplify (/ 1 1) into 1 7.624 * [backup-simplify]: Simplify (* 1 1) into 1 7.624 * [backup-simplify]: Simplify (+ 0 1) into 1 7.625 * [backup-simplify]: Simplify (sqrt 1) into 1 7.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.627 * [backup-simplify]: Simplify (+ 0 0) into 0 7.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.628 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.628 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.628 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.628 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.628 * [taylor]: Taking taylor expansion of 1.0 in x 7.628 * [backup-simplify]: Simplify 1.0 into 1.0 7.628 * [taylor]: Taking taylor expansion of 1.0 in x 7.628 * [backup-simplify]: Simplify 1.0 into 1.0 7.628 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.628 * [taylor]: Taking taylor expansion of x in x 7.628 * [backup-simplify]: Simplify 0 into 0 7.628 * [backup-simplify]: Simplify 1 into 1 7.629 * [backup-simplify]: Simplify (/ 1 1) into 1 7.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.629 * [taylor]: Taking taylor expansion of x in x 7.629 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify 1 into 1 7.629 * [backup-simplify]: Simplify (/ 1 1) into 1 7.630 * [backup-simplify]: Simplify (* 1 1) into 1 7.630 * [backup-simplify]: Simplify (+ 0 1) into 1 7.631 * [backup-simplify]: Simplify (sqrt 1) into 1 7.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.633 * [backup-simplify]: Simplify (+ 0 0) into 0 7.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.634 * [backup-simplify]: Simplify 1 into 1 7.634 * [backup-simplify]: Simplify 0 into 0 7.634 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 7.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.638 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.641 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 7.641 * [backup-simplify]: Simplify 0.5 into 0.5 7.641 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 7.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.645 * [backup-simplify]: Simplify (+ 0 0) into 0 7.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 7.646 * [backup-simplify]: Simplify 0 into 0 7.647 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 7.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.651 * [backup-simplify]: Simplify (+ 0 0) into 0 7.655 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 7.655 * [backup-simplify]: Simplify -0.125 into -0.125 7.656 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 x) 3)) (+ (* 0.5 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) 7.656 * [backup-simplify]: Simplify (hypot 1.0 (/ 1 (- x))) into (hypot 1.0 (/ -1 x)) 7.656 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 7.656 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.656 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.656 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.656 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.656 * [taylor]: Taking taylor expansion of 1.0 in x 7.656 * [backup-simplify]: Simplify 1.0 into 1.0 7.656 * [taylor]: Taking taylor expansion of 1.0 in x 7.656 * [backup-simplify]: Simplify 1.0 into 1.0 7.656 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.656 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.656 * [taylor]: Taking taylor expansion of -1 in x 7.656 * [backup-simplify]: Simplify -1 into -1 7.656 * [taylor]: Taking taylor expansion of x in x 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 1 into 1 7.657 * [backup-simplify]: Simplify (/ -1 1) into -1 7.657 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.657 * [taylor]: Taking taylor expansion of -1 in x 7.657 * [backup-simplify]: Simplify -1 into -1 7.657 * [taylor]: Taking taylor expansion of x in x 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify 1 into 1 7.658 * [backup-simplify]: Simplify (/ -1 1) into -1 7.658 * [backup-simplify]: Simplify (* -1 -1) into 1 7.658 * [backup-simplify]: Simplify (+ 0 1) into 1 7.659 * [backup-simplify]: Simplify (sqrt 1) into 1 7.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.661 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.662 * [backup-simplify]: Simplify (+ 0 0) into 0 7.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.662 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.663 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.663 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.663 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.663 * [taylor]: Taking taylor expansion of 1.0 in x 7.663 * [backup-simplify]: Simplify 1.0 into 1.0 7.663 * [taylor]: Taking taylor expansion of 1.0 in x 7.663 * [backup-simplify]: Simplify 1.0 into 1.0 7.663 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.663 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.663 * [taylor]: Taking taylor expansion of -1 in x 7.663 * [backup-simplify]: Simplify -1 into -1 7.663 * [taylor]: Taking taylor expansion of x in x 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify 1 into 1 7.664 * [backup-simplify]: Simplify (/ -1 1) into -1 7.664 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.664 * [taylor]: Taking taylor expansion of -1 in x 7.664 * [backup-simplify]: Simplify -1 into -1 7.664 * [taylor]: Taking taylor expansion of x in x 7.664 * [backup-simplify]: Simplify 0 into 0 7.664 * [backup-simplify]: Simplify 1 into 1 7.664 * [backup-simplify]: Simplify (/ -1 1) into -1 7.665 * [backup-simplify]: Simplify (* -1 -1) into 1 7.665 * [backup-simplify]: Simplify (+ 0 1) into 1 7.665 * [backup-simplify]: Simplify (sqrt 1) into 1 7.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.668 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.668 * [backup-simplify]: Simplify (+ 0 0) into 0 7.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.669 * [backup-simplify]: Simplify 1 into 1 7.669 * [backup-simplify]: Simplify 0 into 0 7.669 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 7.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.672 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.673 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.675 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 7.675 * [backup-simplify]: Simplify 0.5 into 0.5 7.675 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 7.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.677 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.677 * [backup-simplify]: Simplify (+ 0 0) into 0 7.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 7.678 * [backup-simplify]: Simplify 0 into 0 7.678 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 7.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.681 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 7.681 * [backup-simplify]: Simplify (+ 0 0) into 0 7.683 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 7.683 * [backup-simplify]: Simplify -0.125 into -0.125 7.683 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* 0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 7.684 * * * [progress]: simplifying candidates 7.687 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) 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(pow (sqrt 1.0) 6)))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)))))) (- (+ 1.0 (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2))))) (+ (* (sqrt 1.0) (sqrt 0.5)) (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))) (+ 1.0 (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2)))))) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 7.691 * * [simplify]: iteration 0: 213 enodes 7.770 * * [simplify]: iteration 1: 487 enodes 8.090 * * [simplify]: iteration 2: 2116 enodes 9.015 * * [simplify]: iteration complete: 5000 enodes 9.016 * * [simplify]: Extracting #0: cost 51 inf + 0 9.017 * * [simplify]: Extracting #1: cost 375 inf + 3 9.019 * * [simplify]: Extracting #2: cost 894 inf + 605 9.025 * * [simplify]: Extracting #3: cost 1164 inf + 11200 9.057 * * [simplify]: Extracting #4: cost 1181 inf + 103222 9.135 * * [simplify]: Extracting #5: cost 368 inf + 293332 9.253 * * [simplify]: Extracting #6: cost 141 inf + 380403 9.411 * * [simplify]: Extracting #7: cost 0 inf + 454052 9.500 * * [simplify]: Extracting #8: cost 0 inf + 454037 9.597 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) 0 (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) 0 (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) 0 (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) 0 (- 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 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1.0) (+ (sqrt (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (- (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) 0 (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) 0 (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) 0 (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) 0 (- 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) 0 (- 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0.5 1.0) (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (* (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (* (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (- (* (* 1.0 1.0) 1.0) (* (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))) (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (fma 1.0 1.0 (fma (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))) 1.0 (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (- (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (- (* 1.0 1.0) (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))) (+ (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))) 1.0) (+ (sqrt (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (- (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (expm1 (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (log1p (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) 1 1 2 1 1 (* (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (* (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) 2 (log (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (log (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (exp (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (* (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (* (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (cbrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (* (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (* (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (* (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (- (* (* 1.0 1.0) 1.0) (* (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))) (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (fma 1.0 1.0 (fma (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))) 1.0 (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (* (sqrt (- (* 1.0 1.0) (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (sqrt (- (* (* 1.0 1.0) 1.0) (* (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))) (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))))) (* (sqrt (+ (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))) 1.0)) (sqrt (fma 1.0 1.0 (fma (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))) 1.0 (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (* (sqrt (- (* 1.0 1.0) (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (sqrt (- (* (* 1.0 1.0) 1.0) (* (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))) (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))))) (* (sqrt (+ (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))) 1.0)) (sqrt (fma 1.0 1.0 (fma (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))) 1.0 (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (- (* 1.0 1.0) (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))) (+ (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))) 1.0) (* (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (cbrt (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))))) (* (cbrt (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (cbrt (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))))) (* (cbrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (cbrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) 1 (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) 1 (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (+ (sqrt (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) 1 (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) 1 (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) 1 (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) 1 2 1 (* (* (cbrt (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (cbrt (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (* (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (fabs (cbrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))))) (* (sqrt (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (* (sqrt (+ (sqrt (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (sqrt 1.0))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (* (sqrt (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (* (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (cbrt (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))))) (* (sqrt (cbrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (* (sqrt (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (* (sqrt (- (sqrt 1.0) (sqrt (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (* (sqrt (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))))) (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))))) (* (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- (* (* 1.0 1.0) 1.0) (* (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))) (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))))) (* (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- (* 1.0 1.0) (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (* (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- (* (* 1.0 1.0) 1.0) (* (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x))) (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))))) (* (sqrt (- 1.0 (sqrt (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (sqrt (- (* 1.0 1.0) (+ (* 0.5 1.0) (/ (* 0.5 1.0) (hypot 1.0 x)))))) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (fma x x (* 1.0 1.0)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (fma (* (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0))))) 0.25) (* (/ (sqrt 0.5) 1.0) (/ (* x x) (sqrt 1.0))) (fma (* 0.03125 (sqrt (/ (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0)))) (* (+ 1.0 (/ 1.0 (sqrt 1.0))) (+ 1.0 (/ 1.0 (sqrt 1.0))))))) (* (/ (* (* x x) (* x x)) 1.0) (/ (sqrt 0.5) (* 1.0 1.0))) (- 1.0 (fma (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) (sqrt 0.5) (* (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0))))) (* (* (/ (* (* x x) (* x x)) (pow (sqrt 1.0) 5)) (sqrt 0.5)) 0.1875)))))) (- (fma (/ 0.125 (* (sqrt 1.0) 1.0)) (/ (sqrt 0.5) (* x x)) 1.0) (fma (/ 0.5 (sqrt 1.0)) (/ (sqrt 0.5) x) (* (sqrt 0.5) (sqrt 1.0)))) (fma (/ 0.5 x) (/ (sqrt 0.5) (sqrt 1.0)) (fma (/ 0.125 (* x x)) (/ (sqrt 0.5) (* (sqrt 1.0) 1.0)) (- 1.0 (* (sqrt 0.5) (sqrt 1.0))))) (fma (* (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0))))) 0.25) (* (/ (sqrt 0.5) 1.0) (/ (* x x) (sqrt 1.0))) (fma (* 0.03125 (sqrt (/ (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0)))) (* (+ 1.0 (/ 1.0 (sqrt 1.0))) (+ 1.0 (/ 1.0 (sqrt 1.0))))))) (* (/ (* (* x x) (* x x)) 1.0) (/ (sqrt 0.5) (* 1.0 1.0))) (- 1.0 (fma (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) (sqrt 0.5) (* (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0))))) (* (* (/ (* (* x x) (* x x)) (pow (sqrt 1.0) 5)) (sqrt 0.5)) 0.1875)))))) (- (fma (/ 0.125 (* (sqrt 1.0) 1.0)) (/ (sqrt 0.5) (* x x)) 1.0) (fma (/ 0.5 (sqrt 1.0)) (/ (sqrt 0.5) x) (* (sqrt 0.5) (sqrt 1.0)))) (fma (/ 0.5 x) (/ (sqrt 0.5) (sqrt 1.0)) (fma (/ 0.125 (* x x)) (/ (sqrt 0.5) (* (sqrt 1.0) 1.0)) (- 1.0 (* (sqrt 0.5) (sqrt 1.0))))) (fma (* (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0))))) 0.25) (* (/ (sqrt 0.5) 1.0) (/ (* x x) (sqrt 1.0))) (fma (* 0.03125 (sqrt (/ (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0)))) (* (+ 1.0 (/ 1.0 (sqrt 1.0))) (+ 1.0 (/ 1.0 (sqrt 1.0))))))) (* (/ (* (* x x) (* x x)) 1.0) (/ (sqrt 0.5) (* 1.0 1.0))) (- 1.0 (fma (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) (sqrt 0.5) (* (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0))))) (* (* (/ (* (* x x) (* x x)) (pow (sqrt 1.0) 5)) (sqrt 0.5)) 0.1875)))))) (- (fma (/ 0.125 (* (sqrt 1.0) 1.0)) (/ (sqrt 0.5) (* x x)) 1.0) (fma (/ 0.5 (sqrt 1.0)) (/ (sqrt 0.5) x) (* (sqrt 0.5) (sqrt 1.0)))) (fma (/ 0.5 x) (/ (sqrt 0.5) (sqrt 1.0)) (fma (/ 0.125 (* x x)) (/ (sqrt 0.5) (* (sqrt 1.0) 1.0)) (- 1.0 (* (sqrt 0.5) (sqrt 1.0))))) (fma -1/8 (* (/ (* x x) 1.0) (/ (* x x) (sqrt 1.0))) (fma (/ (* x x) (sqrt 1.0)) 1/2 (sqrt 1.0))) (- (+ x (/ 0.5 x)) (/ (/ 0.125 x) (* x x))) (- (- (/ (/ 0.125 x) (* x x)) x) (/ 0.5 x)) 9.623 * * * [progress]: adding candidates to table 10.708 * * [progress]: iteration 4 / 4 10.709 * * * [progress]: picking best candidate 10.719 * * * * [pick]: Picked # 10.719 * * * [progress]: localizing error 10.765 * * * [progress]: generating rewritten candidates 10.765 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 10.786 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 10.796 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 1 2 2 2) 10.801 * * * [progress]: generating series expansions 10.801 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 10.801 * [backup-simplify]: Simplify (/ (/ 0.25 x) (* x x)) into (/ 0.25 (pow x 3)) 10.801 * [approximate]: Taking taylor expansion of (/ 0.25 (pow x 3)) in (x) around 0 10.801 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 3)) in x 10.801 * [taylor]: Taking taylor expansion of 0.25 in x 10.801 * [backup-simplify]: Simplify 0.25 into 0.25 10.801 * [taylor]: Taking taylor expansion of (pow x 3) in x 10.801 * [taylor]: Taking taylor expansion of x in x 10.801 * [backup-simplify]: Simplify 0 into 0 10.801 * [backup-simplify]: Simplify 1 into 1 10.802 * [backup-simplify]: Simplify (* 1 1) into 1 10.802 * [backup-simplify]: Simplify (* 1 1) into 1 10.803 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 10.803 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 3)) in x 10.803 * [taylor]: Taking taylor expansion of 0.25 in x 10.803 * [backup-simplify]: Simplify 0.25 into 0.25 10.803 * [taylor]: Taking taylor expansion of (pow x 3) in x 10.803 * [taylor]: Taking taylor expansion of x in x 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [backup-simplify]: Simplify 1 into 1 10.803 * [backup-simplify]: Simplify (* 1 1) into 1 10.804 * [backup-simplify]: Simplify (* 1 1) into 1 10.804 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 10.804 * [backup-simplify]: Simplify 0.25 into 0.25 10.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0 10.807 * [backup-simplify]: Simplify 0 into 0 10.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.812 * [backup-simplify]: Simplify 0 into 0 10.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.816 * [backup-simplify]: Simplify 0 into 0 10.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.819 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.823 * [backup-simplify]: Simplify 0 into 0 10.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [backup-simplify]: Simplify (* 0.25 (pow (/ 1 x) 3)) into (/ 0.25 (pow x 3)) 10.829 * [backup-simplify]: Simplify (/ (/ 0.25 (/ 1 x)) (* (/ 1 x) (/ 1 x))) into (* 0.25 (pow x 3)) 10.829 * [approximate]: Taking taylor expansion of (* 0.25 (pow x 3)) in (x) around 0 10.829 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 3)) in x 10.829 * [taylor]: Taking taylor expansion of 0.25 in x 10.829 * [backup-simplify]: Simplify 0.25 into 0.25 10.829 * [taylor]: Taking taylor expansion of (pow x 3) in x 10.829 * [taylor]: Taking taylor expansion of x in x 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [backup-simplify]: Simplify 1 into 1 10.829 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 3)) in x 10.829 * [taylor]: Taking taylor expansion of 0.25 in x 10.829 * [backup-simplify]: Simplify 0.25 into 0.25 10.829 * [taylor]: Taking taylor expansion of (pow x 3) in x 10.829 * [taylor]: Taking taylor expansion of x in x 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [backup-simplify]: Simplify 1 into 1 10.829 * [backup-simplify]: Simplify (* 1 1) into 1 10.830 * [backup-simplify]: Simplify (* 1 1) into 1 10.830 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 10.830 * [backup-simplify]: Simplify 0.25 into 0.25 10.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.841 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 10.841 * [backup-simplify]: Simplify 0 into 0 10.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.844 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 10.844 * [backup-simplify]: Simplify 0 into 0 10.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.847 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.847 * [backup-simplify]: Simplify 0 into 0 10.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.851 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.851 * [backup-simplify]: Simplify 0 into 0 10.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.855 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.855 * [backup-simplify]: Simplify 0 into 0 10.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.860 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.860 * [backup-simplify]: Simplify 0 into 0 10.861 * [backup-simplify]: Simplify (* 0.25 (pow (/ 1 x) 3)) into (/ 0.25 (pow x 3)) 10.861 * [backup-simplify]: Simplify (/ (/ 0.25 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* -0.25 (pow x 3)) 10.861 * [approximate]: Taking taylor expansion of (* -0.25 (pow x 3)) in (x) around 0 10.861 * [taylor]: Taking taylor expansion of (* -0.25 (pow x 3)) in x 10.861 * [taylor]: Taking taylor expansion of -0.25 in x 10.861 * [backup-simplify]: Simplify -0.25 into -0.25 10.861 * [taylor]: Taking taylor expansion of (pow x 3) in x 10.861 * [taylor]: Taking taylor expansion of x in x 10.861 * [backup-simplify]: Simplify 0 into 0 10.861 * [backup-simplify]: Simplify 1 into 1 10.861 * [taylor]: Taking taylor expansion of (* -0.25 (pow x 3)) in x 10.861 * [taylor]: Taking taylor expansion of -0.25 in x 10.861 * [backup-simplify]: Simplify -0.25 into -0.25 10.861 * [taylor]: Taking taylor expansion of (pow x 3) in x 10.861 * [taylor]: Taking taylor expansion of x in x 10.861 * [backup-simplify]: Simplify 0 into 0 10.861 * [backup-simplify]: Simplify 1 into 1 10.862 * [backup-simplify]: Simplify (* 1 1) into 1 10.862 * [backup-simplify]: Simplify (* 1 1) into 1 10.863 * [backup-simplify]: Simplify (* -0.25 1) into -0.25 10.863 * [backup-simplify]: Simplify -0.25 into -0.25 10.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.865 * [backup-simplify]: Simplify (+ (* -0.25 0) (* 0 1)) into 0 10.865 * [backup-simplify]: Simplify 0 into 0 10.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.868 * [backup-simplify]: Simplify (+ (* -0.25 0) (+ (* 0 0) (* 0 1))) into 0 10.868 * [backup-simplify]: Simplify 0 into 0 10.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.871 * [backup-simplify]: Simplify (+ (* -0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.871 * [backup-simplify]: Simplify 0 into 0 10.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.874 * [backup-simplify]: Simplify (+ (* -0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.875 * [backup-simplify]: Simplify 0 into 0 10.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.879 * [backup-simplify]: Simplify (+ (* -0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.879 * [backup-simplify]: Simplify 0 into 0 10.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.883 * [backup-simplify]: Simplify (+ (* -0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.883 * [backup-simplify]: Simplify 0 into 0 10.884 * [backup-simplify]: Simplify (* -0.25 (pow (/ 1 (- x)) 3)) into (/ 0.25 (pow x 3)) 10.884 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 10.884 * [backup-simplify]: Simplify (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) into (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) 1.0) 10.884 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 10.884 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) 1.0) in x 10.884 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) in x 10.884 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 10.884 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 10.884 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 10.884 * [taylor]: Taking taylor expansion of 1.0 in x 10.884 * [backup-simplify]: Simplify 1.0 into 1.0 10.884 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 10.884 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 10.885 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 10.885 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 10.885 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.885 * [taylor]: Taking taylor expansion of 1.0 in x 10.885 * [backup-simplify]: Simplify 1.0 into 1.0 10.885 * [taylor]: Taking taylor expansion of 1.0 in x 10.885 * [backup-simplify]: Simplify 1.0 into 1.0 10.885 * [taylor]: Taking taylor expansion of (* x x) in x 10.885 * [taylor]: Taking taylor expansion of x in x 10.885 * [backup-simplify]: Simplify 0 into 0 10.885 * [backup-simplify]: Simplify 1 into 1 10.885 * [taylor]: Taking taylor expansion of x in x 10.885 * [backup-simplify]: Simplify 0 into 0 10.885 * [backup-simplify]: Simplify 1 into 1 10.885 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 10.886 * [backup-simplify]: Simplify (* 0 0) into 0 10.886 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.887 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.887 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 10.888 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.888 * [backup-simplify]: Simplify (+ 0 0) into 0 10.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 10.890 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 10.890 * [taylor]: Taking taylor expansion of 1.0 in x 10.890 * [backup-simplify]: Simplify 1.0 into 1.0 10.891 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sqrt 1.0))) into (/ 1.0 (sqrt 1.0)) 10.893 * [backup-simplify]: Simplify (+ (/ 1.0 (sqrt 1.0)) 1.0) into (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 10.896 * [backup-simplify]: Simplify (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) into (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 10.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 10.898 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqrt 1.0)))) into 0 10.898 * [backup-simplify]: Simplify (+ 0 0) into 0 10.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 10.900 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 10.900 * [taylor]: Taking taylor expansion of 0.5 in x 10.900 * [backup-simplify]: Simplify 0.5 into 0.5 10.900 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 10.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 10.901 * [taylor]: Taking taylor expansion of 1.0 in x 10.901 * [backup-simplify]: Simplify 1.0 into 1.0 10.901 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) 1.0) in x 10.901 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt 0.5)) in x 10.901 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 10.901 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 10.901 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 10.901 * [taylor]: Taking taylor expansion of 1.0 in x 10.901 * [backup-simplify]: Simplify 1.0 into 1.0 10.901 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 10.901 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 10.902 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 10.902 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 10.902 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.902 * [taylor]: Taking taylor expansion of 1.0 in x 10.902 * [backup-simplify]: Simplify 1.0 into 1.0 10.902 * [taylor]: Taking taylor expansion of 1.0 in x 10.902 * [backup-simplify]: Simplify 1.0 into 1.0 10.902 * [taylor]: Taking taylor expansion of (* x x) in x 10.902 * [taylor]: Taking taylor expansion of x in x 10.902 * [backup-simplify]: Simplify 0 into 0 10.902 * [backup-simplify]: Simplify 1 into 1 10.902 * [taylor]: Taking taylor expansion of x in x 10.902 * [backup-simplify]: Simplify 0 into 0 10.902 * [backup-simplify]: Simplify 1 into 1 10.902 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 10.903 * [backup-simplify]: Simplify (* 0 0) into 0 10.903 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.904 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.904 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 10.905 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.905 * [backup-simplify]: Simplify (+ 0 0) into 0 10.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 10.907 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 10.907 * [taylor]: Taking taylor expansion of 1.0 in x 10.907 * [backup-simplify]: Simplify 1.0 into 1.0 10.908 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sqrt 1.0))) into (/ 1.0 (sqrt 1.0)) 10.910 * [backup-simplify]: Simplify (+ (/ 1.0 (sqrt 1.0)) 1.0) into (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 10.913 * [backup-simplify]: Simplify (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) into (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 10.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 10.914 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqrt 1.0)))) into 0 10.914 * [backup-simplify]: Simplify (+ 0 0) into 0 10.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 10.915 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 10.915 * [taylor]: Taking taylor expansion of 0.5 in x 10.915 * [backup-simplify]: Simplify 0.5 into 0.5 10.916 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 10.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 10.916 * [taylor]: Taking taylor expansion of 1.0 in x 10.916 * [backup-simplify]: Simplify 1.0 into 1.0 10.919 * [backup-simplify]: Simplify (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) into (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 10.923 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) into (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 10.926 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) into (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 10.927 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (* 0 (sqrt 0.5))) into 0 10.927 * [backup-simplify]: Simplify (+ 0 0) into 0 10.927 * [backup-simplify]: Simplify 0 into 0 10.928 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 10.929 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 10.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.930 * [backup-simplify]: Simplify (+ 0 1) into 1 10.931 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 10.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) 10.946 * [backup-simplify]: Simplify (+ (* 1.0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))) into (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 10.952 * [backup-simplify]: Simplify (+ (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 10.966 * [backup-simplify]: Simplify (/ (- (- (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) (pow 0 2) (+)) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 10.986 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) (sqrt 0.5)))) into (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) 10.996 * [backup-simplify]: Simplify (+ (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) 0) into (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) 11.004 * [backup-simplify]: Simplify (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) into (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) 11.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 11.005 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 11.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.006 * [backup-simplify]: Simplify (+ 0 0) into 0 11.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 11.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) (/ 0 (sqrt 1.0))))) into 0 11.011 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0)))))) into 0 11.011 * [backup-simplify]: Simplify (+ 0 0) into 0 11.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))))))) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into 0 11.018 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (+ (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 0) (* 0 (sqrt 0.5))))) into 0 11.019 * [backup-simplify]: Simplify (+ 0 0) into 0 11.019 * [backup-simplify]: Simplify 0 into 0 11.021 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 11.022 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 11.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.024 * [backup-simplify]: Simplify (+ 0 0) into 0 11.031 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 11.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (/ -1/8 (pow (sqrt 1.0) 3)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))) (/ (/ 1/2 (sqrt 1.0)) (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) 11.063 * [backup-simplify]: Simplify (+ (* 1.0 (* 3/8 (/ 1 (pow (sqrt 1.0) 5)))) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))))) into (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 11.067 * [backup-simplify]: Simplify (+ (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 0) into (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) 11.103 * [backup-simplify]: Simplify (/ (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (pow (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) into (* 1/2 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (* 0.0625 (/ 1 (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))))))) 11.174 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 0) (+ (* 0 0) (+ (* (* -0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ 1 (pow (sqrt 1.0) 3)))) 0) (+ (* 0 0) (* (* 1/2 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (* 0.0625 (/ 1 (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))))))) (sqrt 0.5)))))) into (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))))) 11.210 * [backup-simplify]: Simplify (+ (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))))) 0) into (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))))) 11.231 * [backup-simplify]: Simplify (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))))) into (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))))) 11.270 * [backup-simplify]: Simplify (+ (* (- (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))))) (pow x 4)) (+ (* (- (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) (pow x 2)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))) into (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (+ (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)))) 1.0)) (+ (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)))))) 11.271 * [backup-simplify]: Simplify (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 (/ 1 x))))))) into (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 1.0) 11.271 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 1.0) in (x) around 0 11.271 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 1.0) in x 11.271 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 11.271 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.271 * [taylor]: Taking taylor expansion of 0.5 in x 11.271 * [backup-simplify]: Simplify 0.5 into 0.5 11.271 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 11.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 11.272 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 11.272 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 11.272 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 11.272 * [taylor]: Taking taylor expansion of 1.0 in x 11.272 * [backup-simplify]: Simplify 1.0 into 1.0 11.272 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 11.272 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 11.272 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 11.272 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 11.272 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.272 * [taylor]: Taking taylor expansion of 1.0 in x 11.272 * [backup-simplify]: Simplify 1.0 into 1.0 11.272 * [taylor]: Taking taylor expansion of 1.0 in x 11.272 * [backup-simplify]: Simplify 1.0 into 1.0 11.272 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.272 * [taylor]: Taking taylor expansion of x in x 11.272 * [backup-simplify]: Simplify 0 into 0 11.272 * [backup-simplify]: Simplify 1 into 1 11.272 * [backup-simplify]: Simplify (/ 1 1) into 1 11.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.272 * [taylor]: Taking taylor expansion of x in x 11.272 * [backup-simplify]: Simplify 0 into 0 11.272 * [backup-simplify]: Simplify 1 into 1 11.273 * [backup-simplify]: Simplify (/ 1 1) into 1 11.273 * [backup-simplify]: Simplify (* 1 1) into 1 11.273 * [backup-simplify]: Simplify (+ 0 1) into 1 11.274 * [backup-simplify]: Simplify (sqrt 1) into 1 11.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.275 * [backup-simplify]: Simplify (+ 0 0) into 0 11.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.276 * [backup-simplify]: Simplify (/ 1 1) into 1 11.276 * [taylor]: Taking taylor expansion of 1.0 in x 11.276 * [backup-simplify]: Simplify 1.0 into 1.0 11.276 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.276 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.277 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 11.277 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.278 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 11.278 * [taylor]: Taking taylor expansion of 1.0 in x 11.278 * [backup-simplify]: Simplify 1.0 into 1.0 11.278 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 1.0) in x 11.278 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 11.278 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.278 * [taylor]: Taking taylor expansion of 0.5 in x 11.278 * [backup-simplify]: Simplify 0.5 into 0.5 11.278 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 11.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 11.279 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 11.279 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 11.279 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 11.279 * [taylor]: Taking taylor expansion of 1.0 in x 11.279 * [backup-simplify]: Simplify 1.0 into 1.0 11.279 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 11.279 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 11.279 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 11.279 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 11.279 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.279 * [taylor]: Taking taylor expansion of 1.0 in x 11.279 * [backup-simplify]: Simplify 1.0 into 1.0 11.279 * [taylor]: Taking taylor expansion of 1.0 in x 11.279 * [backup-simplify]: Simplify 1.0 into 1.0 11.279 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.279 * [taylor]: Taking taylor expansion of x in x 11.279 * [backup-simplify]: Simplify 0 into 0 11.279 * [backup-simplify]: Simplify 1 into 1 11.279 * [backup-simplify]: Simplify (/ 1 1) into 1 11.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.279 * [taylor]: Taking taylor expansion of x in x 11.279 * [backup-simplify]: Simplify 0 into 0 11.279 * [backup-simplify]: Simplify 1 into 1 11.280 * [backup-simplify]: Simplify (/ 1 1) into 1 11.280 * [backup-simplify]: Simplify (* 1 1) into 1 11.280 * [backup-simplify]: Simplify (+ 0 1) into 1 11.280 * [backup-simplify]: Simplify (sqrt 1) into 1 11.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.282 * [backup-simplify]: Simplify (+ 0 0) into 0 11.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.282 * [backup-simplify]: Simplify (/ 1 1) into 1 11.283 * [taylor]: Taking taylor expansion of 1.0 in x 11.283 * [backup-simplify]: Simplify 1.0 into 1.0 11.283 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.283 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.283 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 11.284 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.285 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 11.285 * [taylor]: Taking taylor expansion of 1.0 in x 11.285 * [backup-simplify]: Simplify 1.0 into 1.0 11.286 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 1.0)) into (* (sqrt 1.0) (sqrt 0.5)) 11.287 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) into (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 11.288 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) into (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 11.290 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 11.292 * [backup-simplify]: Simplify (+ (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 0) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 11.293 * [backup-simplify]: Simplify (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 11.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.295 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 11.295 * [backup-simplify]: Simplify (+ 0 0) into 0 11.300 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.125 (pow (sqrt 1.0) 3)) 11.302 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 11.308 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ -0.125 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 11.312 * [backup-simplify]: Simplify (+ (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 0) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 11.315 * [backup-simplify]: Simplify (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 11.320 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) (pow (/ 1 x) 2)) (+ (* (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) (/ 1 x)) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) into (- (+ (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2))))) 11.320 * [backup-simplify]: Simplify (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 (/ 1 (- x)))))))) into (+ 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) 11.320 * [approximate]: Taking taylor expansion of (+ 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in (x) around 0 11.320 * [taylor]: Taking taylor expansion of (+ 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 11.320 * [taylor]: Taking taylor expansion of 1.0 in x 11.320 * [backup-simplify]: Simplify 1.0 into 1.0 11.320 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 11.320 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.320 * [taylor]: Taking taylor expansion of 0.5 in x 11.320 * [backup-simplify]: Simplify 0.5 into 0.5 11.321 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 11.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 11.321 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 11.321 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 11.321 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 11.321 * [taylor]: Taking taylor expansion of 1.0 in x 11.321 * [backup-simplify]: Simplify 1.0 into 1.0 11.321 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 11.321 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 11.321 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 11.321 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 11.321 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.321 * [taylor]: Taking taylor expansion of 1.0 in x 11.321 * [backup-simplify]: Simplify 1.0 into 1.0 11.321 * [taylor]: Taking taylor expansion of 1.0 in x 11.321 * [backup-simplify]: Simplify 1.0 into 1.0 11.321 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.321 * [taylor]: Taking taylor expansion of -1 in x 11.321 * [backup-simplify]: Simplify -1 into -1 11.321 * [taylor]: Taking taylor expansion of x in x 11.322 * [backup-simplify]: Simplify 0 into 0 11.322 * [backup-simplify]: Simplify 1 into 1 11.322 * [backup-simplify]: Simplify (/ -1 1) into -1 11.322 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.322 * [taylor]: Taking taylor expansion of -1 in x 11.322 * [backup-simplify]: Simplify -1 into -1 11.322 * [taylor]: Taking taylor expansion of x in x 11.322 * [backup-simplify]: Simplify 0 into 0 11.322 * [backup-simplify]: Simplify 1 into 1 11.322 * [backup-simplify]: Simplify (/ -1 1) into -1 11.322 * [backup-simplify]: Simplify (* -1 -1) into 1 11.323 * [backup-simplify]: Simplify (+ 0 1) into 1 11.323 * [backup-simplify]: Simplify (sqrt 1) into 1 11.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.325 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.325 * [backup-simplify]: Simplify (+ 0 0) into 0 11.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.325 * [backup-simplify]: Simplify (/ 1 1) into 1 11.325 * [taylor]: Taking taylor expansion of 1.0 in x 11.325 * [backup-simplify]: Simplify 1.0 into 1.0 11.326 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.326 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.326 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 11.327 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.327 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 11.328 * [taylor]: Taking taylor expansion of (+ 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 11.328 * [taylor]: Taking taylor expansion of 1.0 in x 11.328 * [backup-simplify]: Simplify 1.0 into 1.0 11.328 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 11.328 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.328 * [taylor]: Taking taylor expansion of 0.5 in x 11.328 * [backup-simplify]: Simplify 0.5 into 0.5 11.328 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 11.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 11.328 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 11.328 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 11.328 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 11.328 * [taylor]: Taking taylor expansion of 1.0 in x 11.328 * [backup-simplify]: Simplify 1.0 into 1.0 11.328 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 11.328 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 11.329 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 11.329 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 11.329 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.329 * [taylor]: Taking taylor expansion of 1.0 in x 11.329 * [backup-simplify]: Simplify 1.0 into 1.0 11.329 * [taylor]: Taking taylor expansion of 1.0 in x 11.329 * [backup-simplify]: Simplify 1.0 into 1.0 11.329 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.329 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.329 * [taylor]: Taking taylor expansion of -1 in x 11.329 * [backup-simplify]: Simplify -1 into -1 11.329 * [taylor]: Taking taylor expansion of x in x 11.329 * [backup-simplify]: Simplify 0 into 0 11.329 * [backup-simplify]: Simplify 1 into 1 11.329 * [backup-simplify]: Simplify (/ -1 1) into -1 11.329 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.329 * [taylor]: Taking taylor expansion of -1 in x 11.329 * [backup-simplify]: Simplify -1 into -1 11.329 * [taylor]: Taking taylor expansion of x in x 11.329 * [backup-simplify]: Simplify 0 into 0 11.329 * [backup-simplify]: Simplify 1 into 1 11.329 * [backup-simplify]: Simplify (/ -1 1) into -1 11.330 * [backup-simplify]: Simplify (* -1 -1) into 1 11.330 * [backup-simplify]: Simplify (+ 0 1) into 1 11.330 * [backup-simplify]: Simplify (sqrt 1) into 1 11.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.332 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.332 * [backup-simplify]: Simplify (+ 0 0) into 0 11.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.332 * [backup-simplify]: Simplify (/ 1 1) into 1 11.333 * [taylor]: Taking taylor expansion of 1.0 in x 11.333 * [backup-simplify]: Simplify 1.0 into 1.0 11.333 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.333 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.333 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 11.334 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.335 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1.0))) into (/ 0.5 (sqrt 1.0)) 11.335 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 1.0)) into (* (sqrt 1.0) (sqrt 0.5)) 11.337 * [backup-simplify]: Simplify (+ 1.0 (* (sqrt 1.0) (sqrt 0.5))) into (+ 1.0 (* (sqrt 1.0) (sqrt 0.5))) 11.345 * [backup-simplify]: Simplify (+ 1.0 (* (sqrt 1.0) (sqrt 0.5))) into (+ 1.0 (* (sqrt 1.0) (sqrt 0.5))) 11.349 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 11.352 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ (sqrt 0.5) (sqrt 1.0)))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 11.354 * [backup-simplify]: Simplify (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) into (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) 11.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.356 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 11.356 * [backup-simplify]: Simplify (+ 0 0) into 0 11.362 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.125 (pow (sqrt 1.0) 3)) 11.363 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 11.369 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) (/ -0.125 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 0.5 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 11.378 * [backup-simplify]: Simplify (+ 0 (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3))))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 11.382 * [backup-simplify]: Simplify (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) into (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) 11.391 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (* 0.5 (/ (sqrt 0.5) (sqrt 1.0))) (/ 1 (- x))) (+ 1.0 (* (sqrt 1.0) (sqrt 0.5))))) into (- (+ 1.0 (* (sqrt 1.0) (sqrt 0.5))) (+ (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))) (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2)))))) 11.391 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 1 2 2 2) 11.391 * [backup-simplify]: Simplify (hypot 1.0 x) into (hypot 1.0 x) 11.391 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 11.391 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 11.391 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 11.391 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 11.392 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.392 * [taylor]: Taking taylor expansion of 1.0 in x 11.392 * [backup-simplify]: Simplify 1.0 into 1.0 11.392 * [taylor]: Taking taylor expansion of 1.0 in x 11.392 * [backup-simplify]: Simplify 1.0 into 1.0 11.392 * [taylor]: Taking taylor expansion of (* x x) in x 11.392 * [taylor]: Taking taylor expansion of x in x 11.392 * [backup-simplify]: Simplify 0 into 0 11.392 * [backup-simplify]: Simplify 1 into 1 11.392 * [taylor]: Taking taylor expansion of x in x 11.392 * [backup-simplify]: Simplify 0 into 0 11.392 * [backup-simplify]: Simplify 1 into 1 11.392 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 11.393 * [backup-simplify]: Simplify (* 0 0) into 0 11.393 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.393 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.394 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 11.395 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.395 * [backup-simplify]: Simplify (+ 0 0) into 0 11.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.396 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 11.396 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 11.396 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 11.396 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.396 * [taylor]: Taking taylor expansion of 1.0 in x 11.396 * [backup-simplify]: Simplify 1.0 into 1.0 11.396 * [taylor]: Taking taylor expansion of 1.0 in x 11.396 * [backup-simplify]: Simplify 1.0 into 1.0 11.396 * [taylor]: Taking taylor expansion of (* x x) in x 11.396 * [taylor]: Taking taylor expansion of x in x 11.396 * [backup-simplify]: Simplify 0 into 0 11.396 * [backup-simplify]: Simplify 1 into 1 11.396 * [taylor]: Taking taylor expansion of x in x 11.396 * [backup-simplify]: Simplify 0 into 0 11.396 * [backup-simplify]: Simplify 1 into 1 11.397 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 11.397 * [backup-simplify]: Simplify (* 0 0) into 0 11.397 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.398 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.398 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 11.399 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.399 * [backup-simplify]: Simplify (+ 0 0) into 0 11.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.401 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.401 * [backup-simplify]: Simplify 0 into 0 11.402 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 11.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.403 * [backup-simplify]: Simplify (+ 0 1) into 1 11.405 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 11.406 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 11.407 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 11.408 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.409 * [backup-simplify]: Simplify (+ 0 0) into 0 11.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 11.410 * [backup-simplify]: Simplify 0 into 0 11.412 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 11.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.413 * [backup-simplify]: Simplify (+ 0 0) into 0 11.420 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 11.422 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 11.425 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) 11.425 * [backup-simplify]: Simplify (hypot 1.0 (/ 1 x)) into (hypot 1.0 (/ 1 x)) 11.425 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 11.425 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 11.425 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 11.425 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 11.426 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.426 * [taylor]: Taking taylor expansion of 1.0 in x 11.426 * [backup-simplify]: Simplify 1.0 into 1.0 11.426 * [taylor]: Taking taylor expansion of 1.0 in x 11.426 * [backup-simplify]: Simplify 1.0 into 1.0 11.426 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.426 * [taylor]: Taking taylor expansion of x in x 11.426 * [backup-simplify]: Simplify 0 into 0 11.426 * [backup-simplify]: Simplify 1 into 1 11.426 * [backup-simplify]: Simplify (/ 1 1) into 1 11.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.426 * [taylor]: Taking taylor expansion of x in x 11.426 * [backup-simplify]: Simplify 0 into 0 11.426 * [backup-simplify]: Simplify 1 into 1 11.427 * [backup-simplify]: Simplify (/ 1 1) into 1 11.427 * [backup-simplify]: Simplify (* 1 1) into 1 11.427 * [backup-simplify]: Simplify (+ 0 1) into 1 11.428 * [backup-simplify]: Simplify (sqrt 1) into 1 11.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.430 * [backup-simplify]: Simplify (+ 0 0) into 0 11.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.430 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 11.430 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 11.430 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 11.430 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.430 * [taylor]: Taking taylor expansion of 1.0 in x 11.430 * [backup-simplify]: Simplify 1.0 into 1.0 11.430 * [taylor]: Taking taylor expansion of 1.0 in x 11.430 * [backup-simplify]: Simplify 1.0 into 1.0 11.431 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.431 * [taylor]: Taking taylor expansion of x in x 11.431 * [backup-simplify]: Simplify 0 into 0 11.431 * [backup-simplify]: Simplify 1 into 1 11.431 * [backup-simplify]: Simplify (/ 1 1) into 1 11.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.431 * [taylor]: Taking taylor expansion of x in x 11.431 * [backup-simplify]: Simplify 0 into 0 11.431 * [backup-simplify]: Simplify 1 into 1 11.431 * [backup-simplify]: Simplify (/ 1 1) into 1 11.431 * [backup-simplify]: Simplify (* 1 1) into 1 11.432 * [backup-simplify]: Simplify (+ 0 1) into 1 11.432 * [backup-simplify]: Simplify (sqrt 1) into 1 11.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.433 * [backup-simplify]: Simplify (+ 0 0) into 0 11.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.434 * [backup-simplify]: Simplify 1 into 1 11.434 * [backup-simplify]: Simplify 0 into 0 11.434 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 11.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.436 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.438 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 11.438 * [backup-simplify]: Simplify 0.5 into 0.5 11.438 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 11.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.440 * [backup-simplify]: Simplify (+ 0 0) into 0 11.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 11.441 * [backup-simplify]: Simplify 0 into 0 11.441 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 11.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.443 * [backup-simplify]: Simplify (+ 0 0) into 0 11.446 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 11.446 * [backup-simplify]: Simplify -0.125 into -0.125 11.446 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 x) 3)) (+ (* 0.5 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) 11.446 * [backup-simplify]: Simplify (hypot 1.0 (/ 1 (- x))) into (hypot 1.0 (/ -1 x)) 11.446 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 11.446 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 11.446 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 11.446 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 11.446 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.446 * [taylor]: Taking taylor expansion of 1.0 in x 11.446 * [backup-simplify]: Simplify 1.0 into 1.0 11.446 * [taylor]: Taking taylor expansion of 1.0 in x 11.446 * [backup-simplify]: Simplify 1.0 into 1.0 11.446 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.446 * [taylor]: Taking taylor expansion of -1 in x 11.446 * [backup-simplify]: Simplify -1 into -1 11.446 * [taylor]: Taking taylor expansion of x in x 11.446 * [backup-simplify]: Simplify 0 into 0 11.446 * [backup-simplify]: Simplify 1 into 1 11.447 * [backup-simplify]: Simplify (/ -1 1) into -1 11.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.447 * [taylor]: Taking taylor expansion of -1 in x 11.447 * [backup-simplify]: Simplify -1 into -1 11.447 * [taylor]: Taking taylor expansion of x in x 11.447 * [backup-simplify]: Simplify 0 into 0 11.447 * [backup-simplify]: Simplify 1 into 1 11.447 * [backup-simplify]: Simplify (/ -1 1) into -1 11.447 * [backup-simplify]: Simplify (* -1 -1) into 1 11.448 * [backup-simplify]: Simplify (+ 0 1) into 1 11.448 * [backup-simplify]: Simplify (sqrt 1) into 1 11.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.449 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.449 * [backup-simplify]: Simplify (+ 0 0) into 0 11.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.450 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 11.450 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 11.450 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 11.450 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.450 * [taylor]: Taking taylor expansion of 1.0 in x 11.450 * [backup-simplify]: Simplify 1.0 into 1.0 11.450 * [taylor]: Taking taylor expansion of 1.0 in x 11.450 * [backup-simplify]: Simplify 1.0 into 1.0 11.450 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.450 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.450 * [taylor]: Taking taylor expansion of -1 in x 11.450 * [backup-simplify]: Simplify -1 into -1 11.450 * [taylor]: Taking taylor expansion of x in x 11.450 * [backup-simplify]: Simplify 0 into 0 11.450 * [backup-simplify]: Simplify 1 into 1 11.450 * [backup-simplify]: Simplify (/ -1 1) into -1 11.450 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.450 * [taylor]: Taking taylor expansion of -1 in x 11.450 * [backup-simplify]: Simplify -1 into -1 11.450 * [taylor]: Taking taylor expansion of x in x 11.451 * [backup-simplify]: Simplify 0 into 0 11.451 * [backup-simplify]: Simplify 1 into 1 11.451 * [backup-simplify]: Simplify (/ -1 1) into -1 11.451 * [backup-simplify]: Simplify (* -1 -1) into 1 11.451 * [backup-simplify]: Simplify (+ 0 1) into 1 11.452 * [backup-simplify]: Simplify (sqrt 1) into 1 11.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.453 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.453 * [backup-simplify]: Simplify (+ 0 0) into 0 11.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.454 * [backup-simplify]: Simplify 1 into 1 11.454 * [backup-simplify]: Simplify 0 into 0 11.454 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 11.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.456 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.456 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.458 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 11.458 * [backup-simplify]: Simplify 0.5 into 0.5 11.459 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 11.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.462 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 11.462 * [backup-simplify]: Simplify (+ 0 0) into 0 11.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 11.464 * [backup-simplify]: Simplify 0 into 0 11.464 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 11.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.475 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 11.475 * [backup-simplify]: Simplify (+ 0 0) into 0 11.479 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 11.480 * [backup-simplify]: Simplify -0.125 into -0.125 11.480 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* 0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 11.480 * * * [progress]: simplifying candidates 11.482 * [simplify]: Simplifying: (expm1 (/ (/ 0.25 x) (* x x))) (log1p (/ (/ 0.25 x) (* x x))) (- (- (log 0.25) (log x)) (+ (log x) (log x))) (- (- (log 0.25) (log x)) (log (* x x))) (- (log (/ 0.25 x)) (+ (log x) (log x))) (- (log (/ 0.25 x)) (log (* x x))) (log (/ (/ 0.25 x) (* x x))) (exp (/ (/ 0.25 x) (* x x))) (/ (/ (* (* 0.25 0.25) 0.25) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* 0.25 0.25) 0.25) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (/ (* (* (/ 0.25 x) (/ 0.25 x)) (/ 0.25 x)) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (/ 0.25 x) (/ 0.25 x)) (/ 0.25 x)) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (/ 0.25 x) (* x x))) (cbrt (/ (/ 0.25 x) (* x x)))) (cbrt (/ (/ 0.25 x) (* x x))) (* (* (/ (/ 0.25 x) (* x x)) (/ (/ 0.25 x) (* x x))) (/ (/ 0.25 x) (* x x))) (sqrt (/ (/ 0.25 x) (* x x))) (sqrt (/ (/ 0.25 x) (* x x))) (- (/ 0.25 x)) (- (* x x)) (/ (* (cbrt (/ 0.25 x)) (cbrt (/ 0.25 x))) x) (/ (cbrt (/ 0.25 x)) x) (/ (sqrt (/ 0.25 x)) x) (/ (sqrt (/ 0.25 x)) x) (/ (/ (* (cbrt 0.25) (cbrt 0.25)) (* (cbrt x) (cbrt x))) x) (/ (/ (cbrt 0.25) (cbrt x)) x) (/ (/ (* (cbrt 0.25) (cbrt 0.25)) (sqrt x)) x) (/ (/ (cbrt 0.25) (sqrt x)) x) (/ (/ (* (cbrt 0.25) (cbrt 0.25)) 1) x) (/ (/ (cbrt 0.25) x) x) (/ (/ (sqrt 0.25) (* (cbrt x) (cbrt x))) x) (/ (/ (sqrt 0.25) (cbrt x)) x) (/ (/ (sqrt 0.25) (sqrt x)) x) (/ (/ (sqrt 0.25) (sqrt x)) x) (/ (/ (sqrt 0.25) 1) x) (/ (/ (sqrt 0.25) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) x) (/ (/ 0.25 (cbrt x)) x) (/ (/ 1 (sqrt x)) x) (/ (/ 0.25 (sqrt x)) x) (/ (/ 1 1) x) (/ (/ 0.25 x) x) (/ 1 x) (/ (/ 0.25 x) x) (/ 0.25 x) (/ (/ 1 x) x) (/ 1 (* x x)) (/ (* x x) (/ 0.25 x)) (/ (/ 0.25 x) x) (/ (* x x) (cbrt (/ 0.25 x))) (/ (* x x) (sqrt (/ 0.25 x))) (/ (* x x) (/ (cbrt 0.25) (cbrt x))) (/ (* x x) (/ (cbrt 0.25) (sqrt x))) (/ (* x x) (/ (cbrt 0.25) x)) (/ (* x x) (/ (sqrt 0.25) (cbrt x))) (/ (* x x) (/ (sqrt 0.25) (sqrt x))) (/ (* x x) (/ (sqrt 0.25) x)) (/ (* x x) (/ 0.25 (cbrt x))) (/ (* x x) (/ 0.25 (sqrt x))) (/ (* x x) (/ 0.25 x)) (/ (* x x) (/ 0.25 x)) (/ (* x x) (/ 1 x)) (* (* x x) x) (expm1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (+ (* 1.0 1.0) (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (/ 0.25 (pow x 3)) (/ 0.25 (pow x 3)) (/ 0.25 (pow x 3)) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (+ (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)))) 1.0)) (+ (* 0.25 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))) (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)))))) (- (+ (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2))))) (- (+ 1.0 (* (sqrt 1.0) (sqrt 0.5))) (+ (* 0.5 (/ (sqrt 0.5) (* (sqrt 1.0) x))) (* 0.125 (/ (sqrt 0.5) (* (pow (sqrt 1.0) 3) (pow x 2)))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 11.485 * * [simplify]: iteration 0: 209 enodes 11.547 * * [simplify]: iteration 1: 546 enodes 12.012 * * [simplify]: iteration 2: 2815 enodes 13.087 * * [simplify]: iteration complete: 5000 enodes 13.088 * * [simplify]: Extracting #0: cost 73 inf + 0 13.095 * * [simplify]: Extracting #1: cost 619 inf + 0 13.105 * * [simplify]: Extracting #2: cost 1677 inf + 6510 13.125 * * [simplify]: Extracting #3: cost 1155 inf + 108715 13.170 * * [simplify]: Extracting #4: cost 366 inf + 224757 13.235 * * [simplify]: Extracting #5: cost 179 inf + 279602 13.314 * * [simplify]: Extracting #6: cost 37 inf + 341578 13.432 * * [simplify]: Extracting #7: cost 0 inf + 359220 13.528 * [simplify]: Simplified to: (expm1 (/ (/ 0.25 (* x x)) x)) (log1p (/ (/ 0.25 (* x x)) x)) (log (/ (/ 0.25 (* x x)) x)) (log (/ (/ 0.25 (* x x)) x)) (log (/ (/ 0.25 (* x x)) x)) (log (/ (/ 0.25 (* x x)) x)) (log (/ (/ 0.25 (* x x)) x)) (exp (/ (/ 0.25 (* x x)) x)) (* (/ (/ 0.25 x) (* x x)) (* (/ (/ 0.25 x) (* x x)) (/ (/ 0.25 x) (* x x)))) (* (/ (/ 0.25 x) (* x x)) (* (/ (/ 0.25 x) (* x x)) (/ (/ 0.25 x) (* x x)))) (* (/ (/ 0.25 x) (* x x)) (* (/ (/ 0.25 x) (* x x)) (/ (/ 0.25 x) (* x x)))) (* (/ (/ 0.25 x) (* x x)) (* (/ (/ 0.25 x) (* x x)) (/ (/ 0.25 x) (* x x)))) (* (cbrt (/ (/ 0.25 (* x x)) x)) (cbrt (/ (/ 0.25 (* x x)) x))) (cbrt (/ (/ 0.25 (* x x)) x)) (* (/ (/ 0.25 x) (* x x)) (* (/ (/ 0.25 x) (* x x)) (/ (/ 0.25 x) (* x x)))) (sqrt (/ (/ 0.25 (* x x)) x)) (sqrt (/ (/ 0.25 (* x x)) x)) (/ (- 0.25) x) (* x (- x)) (/ (cbrt (/ 0.25 x)) (/ x (cbrt (/ 0.25 x)))) (/ (cbrt (/ 0.25 x)) x) (/ (sqrt (/ 0.25 x)) x) (/ (sqrt (/ 0.25 x)) x) (/ (* (/ (cbrt 0.25) (cbrt x)) (/ (cbrt 0.25) (cbrt x))) x) (/ (/ (cbrt 0.25) x) (cbrt x)) (* (/ (cbrt 0.25) x) (/ (cbrt 0.25) (sqrt x))) (/ (cbrt 0.25) (* (sqrt x) x)) (/ (cbrt 0.25) (/ x (cbrt 0.25))) (/ (cbrt 0.25) (* x x)) (/ (/ (sqrt 0.25) x) (* (cbrt x) (cbrt x))) (/ (sqrt 0.25) (* x (cbrt x))) (/ (/ (sqrt 0.25) x) (sqrt x)) (/ (/ (sqrt 0.25) x) (sqrt x)) (/ (sqrt 0.25) x) (/ (sqrt 0.25) (* x x)) (/ 1 (* (* x (cbrt x)) (cbrt x))) (/ (/ 0.25 x) (cbrt x)) (/ (/ 1 x) (sqrt x)) (/ (/ 0.25 x) (sqrt x)) (/ 1 x) (/ 0.25 (* x x)) (/ 1 x) (/ 0.25 (* x x)) (/ 0.25 x) (/ 1 (* x x)) (/ 1 (* x x)) (/ x (/ 0.25 (* x x))) (/ 0.25 (* x x)) (/ (* x x) (cbrt (/ 0.25 x))) (/ (* x x) (sqrt (/ 0.25 x))) (/ (* x x) (/ (cbrt 0.25) (cbrt x))) (/ (* x x) (/ (cbrt 0.25) (sqrt x))) (* x (/ (* x x) (cbrt 0.25))) (* (/ x (/ (sqrt 0.25) x)) (cbrt x)) (* (/ x (/ (sqrt 0.25) x)) (sqrt x)) (* x (/ x (/ (sqrt 0.25) x))) (/ x (/ (/ 0.25 x) (cbrt x))) (/ x (/ (/ 0.25 x) (sqrt x))) (/ x (/ 0.25 (* x x))) (/ x (/ 0.25 (* x x))) (* x (* x x)) (* x (* x x)) (expm1 (+ (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) 1.0)) (log1p (+ (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) 1.0)) (exp (+ (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) 1.0)) (log (+ (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) 1.0)) (exp (+ (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) 1.0)) (* (cbrt (+ (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) 1.0)) (cbrt (+ (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) 1.0))) (cbrt (+ (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) 1.0)) (* (* (+ (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) 1.0) (+ (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) 1.0)) (+ (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) 1.0)) (sqrt (+ (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) 1.0)) (sqrt (+ (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) 1.0)) (fma 1.0 (* 1.0 1.0) (* (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x))))) (fma (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) (- (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) 1.0) (* 1.0 1.0)) (- (* 1.0 1.0) (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) (- 1.0 (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x))))) (+ (sqrt (+ (* 1.0 0.5) (/ (* 1.0 0.5) (hypot 1.0 x)))) 1.0) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (fma x x (* 1.0 1.0)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (hypot 1.0 x) (* (hypot 1.0 x) (hypot 1.0 x))) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (/ (/ 0.25 (* x x)) x) (/ (/ 0.25 (* x x)) x) (/ (/ 0.25 (* x x)) x) (- (fma (sqrt 0.5) (sqrt (+ (/ 1.0 (sqrt 1.0)) 1.0)) (fma (/ (* (* (* x x) (* x x)) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (* (sqrt (/ 1 (+ (/ 1.0 (sqrt 1.0)) 1.0))) 0.1875) 1.0)) (fma (* 0.25 (sqrt (/ 1 (+ (/ 1.0 (sqrt 1.0)) 1.0)))) (/ (/ (* (sqrt 0.5) (* x x)) (sqrt 1.0)) 1.0) (* 0.03125 (/ (sqrt (/ (/ 1 (+ (/ 1.0 (sqrt 1.0)) 1.0)) (* (+ (/ 1.0 (sqrt 1.0)) 1.0) (+ (/ 1.0 (sqrt 1.0)) 1.0)))) (/ (* 1.0 (* 1.0 1.0)) (* (* (* x x) (* x x)) (sqrt 0.5))))))) (- (fma (sqrt 1.0) (sqrt 0.5) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0)) (/ 0.125 (/ (* (* x x) (* 1.0 (sqrt 1.0))) (sqrt 0.5)))) (fma (sqrt 0.5) (sqrt 1.0) (- 1.0 (fma (/ 0.5 x) (/ (sqrt 0.5) (sqrt 1.0)) (/ 0.125 (/ (* (* x x) (* 1.0 (sqrt 1.0))) (sqrt 0.5)))))) (fma (/ (/ (* (* x x) (* x x)) 1.0) (sqrt 1.0)) -1/8 (fma (/ (* x x) (sqrt 1.0)) 1/2 (sqrt 1.0))) (- (+ x (/ 0.5 x)) (/ (/ 0.125 (* x x)) x)) (- (/ (/ 0.125 (* x x)) x) (+ x (/ 0.5 x))) 13.543 * * * [progress]: adding candidates to table 14.124 * [progress]: [Phase 3 of 3] Extracting. 14.124 * * [regime]: Finding splitpoints for: (# # # #) 14.125 * * * [regime-changes]: Trying 7 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) x) 14.125 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 14.176 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# #) 14.222 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 14.279 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# #) 14.317 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 14.369 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# #) 14.414 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # #) 14.467 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# #) 14.488 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # #) 14.547 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # #) 14.615 * * * * [regimes]: Trying to branch on x from (# # # #) 14.687 * * * [regime]: Found split indices: #