5.397 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.055 * * * [progress]: [2/2] Setting up program. 0.057 * [progress]: [Phase 2 of 3] Improving. 0.057 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.057 * [simplify]: Sending expressions to egg_math: (log (+ (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0))) 0.059 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.060 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.061 * * [simplify]: iteration 2 : 16 enodes (cost 7 ) 0.062 * * [progress]: iteration 1 / 4 0.062 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.077 * * * [progress]: generating rewritten candidates 0.078 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.110 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1) 0.115 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.148 * * * [progress]: generating series expansions 0.148 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.148 * [backup-simplify]: Simplify (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) into (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) 0.148 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.148 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.148 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.148 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.148 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * [backup-simplify]: Simplify 1.0 into 1.0 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.149 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [backup-simplify]: Simplify 1.0 into 1.0 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.151 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [backup-simplify]: Simplify 1.0 into 1.0 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.151 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.153 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.154 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.154 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (- 1) into -1 0.158 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.159 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.162 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.165 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.166 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.169 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.172 * [backup-simplify]: Simplify (- 0) into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [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)) 0.182 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (+ (* 0 0) (* (/ -1/8 (pow (sqrt 1.0) 3)) 1))))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.186 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.188 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.192 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0)))) x) (* (+ (sqrt 1.0) 1.0) (/ 1 x)))) into (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) 0.192 * [backup-simplify]: Simplify (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) into (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) 0.192 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.192 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.192 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.192 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [backup-simplify]: Simplify 1.0 into 1.0 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (* 1 1) into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [backup-simplify]: Simplify (- 1) into -1 0.193 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.193 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.195 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [backup-simplify]: Simplify 1.0 into 1.0 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.195 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.195 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [backup-simplify]: Simplify 1.0 into 1.0 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (* 1 1) into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [backup-simplify]: Simplify (- 1) into -1 0.196 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.196 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.198 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [backup-simplify]: Simplify 1.0 into 1.0 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.200 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.200 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.201 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.202 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.209 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.210 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.211 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.211 * [backup-simplify]: Simplify 1.0 into 1.0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.217 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.219 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.220 * [backup-simplify]: Simplify (+ (* (/ 0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* 1.0 (/ 1 x)) (sqrt -1))) into (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) 0.221 * [backup-simplify]: Simplify (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) into (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) 0.221 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.221 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.221 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.221 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.221 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.221 * [taylor]: Taking taylor expansion of 1.0 in x 0.221 * [backup-simplify]: Simplify 1.0 into 1.0 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [backup-simplify]: Simplify (- 1) into -1 0.222 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.222 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.224 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [backup-simplify]: Simplify 1.0 into 1.0 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.224 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.224 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.224 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [backup-simplify]: Simplify 1.0 into 1.0 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (* 1 1) into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [backup-simplify]: Simplify (- 1) into -1 0.225 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.225 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.227 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.227 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [backup-simplify]: Simplify 1.0 into 1.0 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.229 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.230 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.230 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.230 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.234 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.234 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.235 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.236 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.236 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.242 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.244 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.246 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.248 * [backup-simplify]: Simplify (+ (* (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* (- 1.0) (/ 1 (- x))) (- (sqrt -1)))) into (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 0.248 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1) 0.248 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.248 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.248 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.248 * [backup-simplify]: Simplify 1.0 into 1.0 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.249 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.249 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.249 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.249 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [backup-simplify]: Simplify 1.0 into 1.0 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.250 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.251 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (* 1 1) into 1 0.251 * [backup-simplify]: Simplify (- 1) into -1 0.251 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.253 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.254 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [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)) 0.260 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.262 * [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) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 0.262 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.263 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.263 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.263 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.263 * [taylor]: Taking taylor expansion of 1.0 in x 0.263 * [backup-simplify]: Simplify 1.0 into 1.0 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [backup-simplify]: Simplify (- 1) into -1 0.264 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.264 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.266 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.266 * [taylor]: Taking taylor expansion of 1.0 in x 0.266 * [backup-simplify]: Simplify 1.0 into 1.0 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [backup-simplify]: Simplify (- 1) into -1 0.267 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.267 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.269 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.272 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.272 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.281 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.283 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 0.283 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.283 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.283 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.283 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.283 * [taylor]: Taking taylor expansion of 1.0 in x 0.283 * [backup-simplify]: Simplify 1.0 into 1.0 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (* 1 1) into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [backup-simplify]: Simplify (- 1) into -1 0.284 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.284 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.285 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [backup-simplify]: Simplify 1.0 into 1.0 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [backup-simplify]: Simplify (- 1) into -1 0.287 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.287 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.289 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.292 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.292 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.306 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.308 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.308 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.308 * [backup-simplify]: Simplify (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) into (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) 0.308 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.308 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.308 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.308 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.308 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.308 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.308 * [backup-simplify]: Simplify 1.0 into 1.0 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.309 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [backup-simplify]: Simplify 1.0 into 1.0 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.311 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.311 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.312 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1.0)) into (log (+ (sqrt 1.0) 1.0)) 0.312 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.312 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.312 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.312 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.312 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [backup-simplify]: Simplify 1.0 into 1.0 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.313 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.313 * [taylor]: Taking taylor expansion of 1.0 in x 0.313 * [backup-simplify]: Simplify 1.0 into 1.0 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.314 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.315 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.316 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1.0)) into (log (+ (sqrt 1.0) 1.0)) 0.317 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (+ (sqrt 1.0) 1.0))) into (- (log (+ (sqrt 1.0) 1.0)) (log x)) 0.318 * [backup-simplify]: Simplify (- (log (+ (sqrt 1.0) 1.0)) (log x)) into (- (log (+ (sqrt 1.0) 1.0)) (log x)) 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (sqrt 1.0) 1.0) 1)))) 1) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.322 * [backup-simplify]: Simplify (- 1) into -1 0.322 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.324 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.326 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.329 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.341 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (sqrt 1.0) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (sqrt 1.0))))) 1)) (pow (+ (sqrt 1.0) 1.0) 1)))) 2) into (/ -1/2 (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))) 0.342 * [backup-simplify]: Simplify (/ -1/2 (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))) into (/ -1/2 (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))) 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.345 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (sqrt 1.0) 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/2 (/ 1 (sqrt 1.0))))) 1)) (pow (+ (sqrt 1.0) 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (sqrt 1.0) 1.0) 1)))) 6) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [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)) 0.361 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (+ (* 0 0) (* (/ -1/8 (pow (sqrt 1.0) 3)) 1))))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.365 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.404 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (sqrt 1.0) 1.0) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/2 (/ 1 (sqrt 1.0))))) 1)) (pow (+ (sqrt 1.0) 1.0) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (sqrt 1.0))))) 2)) (pow (+ (sqrt 1.0) 1.0) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (sqrt 1.0) 1.0) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1)) (pow (+ (sqrt 1.0) 1.0) 1)))) 24) into (* -1/24 (+ (* 3 (/ 1 (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (* 3 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))) 0.412 * [backup-simplify]: Simplify (* -1/24 (+ (* 3 (/ 1 (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (* 3 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))) into (* -1/24 (+ (* 3 (/ 1 (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (* 3 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))) 0.423 * [backup-simplify]: Simplify (+ (* (* -1/24 (+ (* 3 (/ 1 (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (* 3 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))) (pow x 4)) (+ (* (/ -1/2 (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))) (pow x 2)) (- (log (+ (sqrt 1.0) 1.0)) (log x)))) into (- (log (+ (sqrt 1.0) 1.0)) (+ (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0)))) (+ (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (+ (log x) (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))))) 0.423 * [backup-simplify]: Simplify (log (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) into (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) 0.423 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.423 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.423 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.423 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [backup-simplify]: Simplify 1.0 into 1.0 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (* 1 1) into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [backup-simplify]: Simplify (- 1) into -1 0.424 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.425 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.426 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.426 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [backup-simplify]: Simplify 1.0 into 1.0 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.428 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.429 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.429 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 0.429 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.429 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.429 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.429 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.429 * [taylor]: Taking taylor expansion of 1.0 in x 0.429 * [backup-simplify]: Simplify 1.0 into 1.0 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (* 1 1) into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [backup-simplify]: Simplify (- 1) into -1 0.430 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.430 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (- 0) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.432 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.432 * [taylor]: Taking taylor expansion of 1.0 in x 0.432 * [backup-simplify]: Simplify 1.0 into 1.0 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.434 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.434 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.435 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 0.435 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (- 0) into 0 0.437 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.439 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.440 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.441 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.445 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (sqrt -1) 1)))) 1) into (/ 1.0 (sqrt -1)) 0.445 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- 0) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.451 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.471 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (* 0.5 (/ 1 (sqrt -1)))) 1)) (pow (sqrt -1) 1)))) 2) into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.477 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 (* 0.5 (/ 1 (sqrt -1)))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into (/ -0.16666666666666666 (pow (sqrt -1) 3)) 0.495 * [backup-simplify]: Simplify (/ -0.16666666666666666 (pow (sqrt -1) 3)) into (/ -0.16666666666666666 (pow (sqrt -1) 3)) 0.497 * [backup-simplify]: Simplify (+ (* (/ -0.16666666666666666 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (log (sqrt -1)))) into (- (+ (log (sqrt -1)) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 0.497 * [backup-simplify]: Simplify (log (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) into (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 0.497 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.497 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.497 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.497 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.498 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * [backup-simplify]: Simplify 1.0 into 1.0 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (* 1 1) into 1 0.498 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [backup-simplify]: Simplify (- 1) into -1 0.499 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.499 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- 0) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.500 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [backup-simplify]: Simplify 1.0 into 1.0 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.501 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (- 0) into 0 0.502 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.503 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.503 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.503 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.504 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.505 * [backup-simplify]: Simplify (log (- (sqrt -1))) into (log (- (sqrt -1))) 0.505 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.505 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.505 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.505 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.505 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [backup-simplify]: Simplify 1.0 into 1.0 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (* 1 1) into 1 0.505 * [backup-simplify]: Simplify (/ 1 1) into 1 0.506 * [backup-simplify]: Simplify (- 1) into -1 0.506 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.506 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (- 0) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.508 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [backup-simplify]: Simplify 1.0 into 1.0 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (- 0) into 0 0.510 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.510 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.510 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.511 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.511 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.512 * [backup-simplify]: Simplify (log (- (sqrt -1))) into (log (- (sqrt -1))) 0.513 * [backup-simplify]: Simplify (log (- (sqrt -1))) into (log (- (sqrt -1))) 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (- 0) into 0 0.514 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.516 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.517 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.518 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.518 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.519 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow (- (sqrt -1)) 1)))) 1) into (/ 1.0 (sqrt -1)) 0.525 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 0.525 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.525 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (- 0) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.531 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.534 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.534 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.554 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow (- (sqrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.5 (/ 1 (sqrt -1))))) 1)) (pow (- (sqrt -1)) 1)))) 2) into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.555 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.555 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.557 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.557 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- 0) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.563 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [backup-simplify]: Simplify (- 0) into 0 0.565 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.585 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow (- (sqrt -1)) 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 (- (* 0.5 (/ 1 (sqrt -1))))) 1)) (pow (- (sqrt -1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (sqrt -1)) 1)))) 6) into (/ -0.16666666666666666 (pow (sqrt -1) 3)) 0.586 * [backup-simplify]: Simplify (/ -0.16666666666666666 (pow (sqrt -1) 3)) into (/ -0.16666666666666666 (pow (sqrt -1) 3)) 0.588 * [backup-simplify]: Simplify (+ (* (/ -0.16666666666666666 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 (- x))) (log (- (sqrt -1))))) into (- (+ (log (- (sqrt -1))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (* 1.0 (/ 1 (* x (sqrt -1))))) 0.589 * * * [progress]: simplifying candidates 0.590 * [simplify]: Simplifying: (* (exp (/ 1.0 x)) (exp (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))) (* x x) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ 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(/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (exp (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (* (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (* 0.5 (/ 1 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