4.321 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.050 * [progress]: [Phase 2 of 3] Improving. 0.051 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.051 * [simplify]: Sending expressions to egg_math: (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) 0.053 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.054 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.055 * * [simplify]: iteration 2 : 16 enodes (cost 7 ) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.057 * * * * [pick]: Picked # 0.057 * * * [progress]: localizing error 0.066 * * * [progress]: generating rewritten candidates 0.066 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.079 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.118 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.151 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.159 * * * [progress]: generating series expansions 0.159 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.160 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* x x))) x) into (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) 0.160 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.160 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) 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 (pow x 2) 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 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.161 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.162 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [backup-simplify]: Simplify 1.0 into 1.0 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.162 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.164 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (- 1) into -1 0.166 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.168 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.170 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.172 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.173 * [backup-simplify]: Simplify (- 0) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.175 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [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)) 0.186 * [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)))) 0.188 * [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 x)))) into (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) 0.192 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) into (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.192 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 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 0.193 * [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 0.194 * [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 0.195 * [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 (* 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 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.200 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.203 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.203 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.209 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.209 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.216 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 0 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 0.229 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 0.233 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 4)) (+ (* (/ 0.5 (sqrt -1)) (pow (/ 1 x) 2)) (sqrt -1))) into (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) 0.233 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.233 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.233 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.233 * [taylor]: Taking taylor expansion of -1 in x 0.233 * [backup-simplify]: Simplify -1 into -1 0.233 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.233 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.233 * [taylor]: Taking taylor expansion of 1.0 in x 0.233 * [backup-simplify]: Simplify 1.0 into 1.0 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (* 1 1) into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [backup-simplify]: Simplify (- 1) into -1 0.234 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.234 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.236 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.236 * [taylor]: Taking taylor expansion of -1 in x 0.236 * [backup-simplify]: Simplify -1 into -1 0.236 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [backup-simplify]: Simplify 1.0 into 1.0 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (* 1 1) into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [backup-simplify]: Simplify (- 1) into -1 0.237 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.237 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.239 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.239 * [backup-simplify]: Simplify (* -1 0) into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.241 * [backup-simplify]: Simplify (+ (* -1 (sqrt -1)) (* 0 0)) into (- (sqrt -1)) 0.242 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (- 0) into 0 0.243 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.245 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.246 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.247 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt -1)) (* 0 0))) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.254 * [backup-simplify]: Simplify (+ (* -1 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.255 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.262 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.263 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0))))) into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 0 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 0.276 * [backup-simplify]: Simplify (+ (* -1 (- (* 0.125 (/ 1 (pow (sqrt -1) 3))))) (+ (* 0 0) (+ (* 0 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))))) into (* 0.125 (/ 1 (pow (sqrt -1) 3))) 0.278 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow (sqrt -1) 3))) into (/ 0.125 (pow (sqrt -1) 3)) 0.281 * [backup-simplify]: Simplify (+ (* (/ 0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 4)) (+ (* (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (- (sqrt -1)))) into (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 0.281 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.281 * [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))) 0.281 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.281 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.281 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.281 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.281 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [backup-simplify]: Simplify 1.0 into 1.0 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.282 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) 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 x) 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 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.283 * [taylor]: Taking taylor expansion of (- 1.0 (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 (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 (+ 1.0 0) into 1.0 0.284 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.285 * [taylor]: Taking taylor expansion of 1.0 in x 0.285 * [backup-simplify]: Simplify 1.0 into 1.0 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.286 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.286 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.287 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (* 1 1) into 1 0.289 * [backup-simplify]: Simplify (- 1) into -1 0.289 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.291 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.293 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.296 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.298 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ (* 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 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.301 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [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)) 0.317 * [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)))) 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.321 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.322 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.326 * [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))))) 0.326 * [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)) 0.327 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.327 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [backup-simplify]: Simplify 1.0 into 1.0 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (* 1 1) into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [backup-simplify]: Simplify (- 1) into -1 0.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.328 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.329 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [backup-simplify]: Simplify 1.0 into 1.0 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.329 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.330 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [backup-simplify]: Simplify 1.0 into 1.0 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (* 1 1) into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [backup-simplify]: Simplify (- 1) into -1 0.331 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.331 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.333 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [backup-simplify]: Simplify 1.0 into 1.0 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.335 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.335 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.335 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.338 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.339 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.340 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.340 * [backup-simplify]: Simplify 1.0 into 1.0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.346 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.348 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.349 * [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)))) 0.349 * [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))) 0.349 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.349 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.349 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.349 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [backup-simplify]: Simplify 1.0 into 1.0 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [backup-simplify]: Simplify (- 1) into -1 0.350 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.351 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.352 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [backup-simplify]: Simplify 1.0 into 1.0 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.352 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.352 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [backup-simplify]: Simplify 1.0 into 1.0 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (* 1 1) into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [backup-simplify]: Simplify (- 1) into -1 0.353 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.354 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.355 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [backup-simplify]: Simplify 1.0 into 1.0 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.357 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.358 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.358 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.359 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.362 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.363 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.363 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.364 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.364 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.364 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.370 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.372 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.374 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.376 * [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))) 0.376 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.376 * [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)))) 0.376 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.376 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.376 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [backup-simplify]: Simplify 1.0 into 1.0 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.377 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [backup-simplify]: Simplify 1.0 into 1.0 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.379 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.379 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.379 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.380 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1.0)) into (log (+ (sqrt 1.0) 1.0)) 0.380 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.380 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.380 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.380 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.380 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of 1.0 in x 0.380 * [backup-simplify]: Simplify 1.0 into 1.0 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.381 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (/ 1 1) into 1 0.382 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [backup-simplify]: Simplify 1.0 into 1.0 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.383 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.383 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.384 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1.0)) into (log (+ (sqrt 1.0) 1.0)) 0.385 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (+ (sqrt 1.0) 1.0))) into (- (log (+ (sqrt 1.0) 1.0)) (log x)) 0.386 * [backup-simplify]: Simplify (- (log (+ (sqrt 1.0) 1.0)) (log x)) into (- (log (+ (sqrt 1.0) 1.0)) (log x)) 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (sqrt 1.0) 1.0) 1)))) 1) into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (* 1 1) into 1 0.395 * [backup-simplify]: Simplify (- 1) into -1 0.396 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.397 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.400 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.403 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.413 * [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))) 0.415 * [backup-simplify]: Simplify (/ -1/2 (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))) into (/ -1/2 (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))) 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.416 * [backup-simplify]: Simplify (- 0) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.418 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [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 0.422 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [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)) 0.434 * [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)))) 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.438 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.476 * [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)))))) 0.485 * [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)))))) 0.496 * [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)))))))) 0.497 * [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))))) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.497 * [taylor]: Taking taylor expansion of 1.0 in x 0.497 * [backup-simplify]: Simplify 1.0 into 1.0 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [backup-simplify]: Simplify (- 1) into -1 0.498 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.498 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (- 0) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [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 0.500 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.501 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.502 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.502 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 0.502 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.502 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.502 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.503 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.503 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [backup-simplify]: Simplify 1.0 into 1.0 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.503 * [backup-simplify]: Simplify (/ 1 1) into 1 0.503 * [backup-simplify]: Simplify (- 1) into -1 0.504 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.504 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.505 * [taylor]: Taking taylor expansion of (* 1.0 x) 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 x in x 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.507 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.508 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.508 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 0.509 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (- 0) into 0 0.510 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.512 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.513 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.514 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.518 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (sqrt -1) 1)))) 1) into (/ 1.0 (sqrt -1)) 0.518 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (- 0) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.524 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.537 * [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 0.537 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- 0) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.543 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.544 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.544 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [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)) 0.567 * [backup-simplify]: Simplify (/ -0.16666666666666666 (pow (sqrt -1) 3)) into (/ -0.16666666666666666 (pow (sqrt -1) 3)) 0.569 * [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))))) 0.570 * [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)))) 0.570 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.570 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.570 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.570 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.570 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.570 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [backup-simplify]: Simplify 1.0 into 1.0 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (* 1 1) into 1 0.570 * [backup-simplify]: Simplify (/ 1 1) into 1 0.571 * [backup-simplify]: Simplify (- 1) into -1 0.571 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.571 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (- 0) into 0 0.572 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.573 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [backup-simplify]: Simplify 1.0 into 1.0 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [backup-simplify]: Simplify (- 0) into 0 0.575 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.575 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.575 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.576 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.576 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.577 * [backup-simplify]: Simplify (log (- (sqrt -1))) into (log (- (sqrt -1))) 0.577 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.577 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.577 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.577 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.577 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.577 * [backup-simplify]: Simplify 1.0 into 1.0 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (* 1 1) into 1 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.578 * [backup-simplify]: Simplify (- 1) into -1 0.578 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.578 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (- 0) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.580 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.580 * [taylor]: Taking taylor expansion of 1.0 in x 0.580 * [backup-simplify]: Simplify 1.0 into 1.0 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.581 * [backup-simplify]: Simplify (+ 0 0) into 0 0.581 * [backup-simplify]: Simplify (- 0) into 0 0.582 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.583 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.583 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.584 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.584 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.585 * [backup-simplify]: Simplify (log (- (sqrt -1))) into (log (- (sqrt -1))) 0.586 * [backup-simplify]: Simplify (log (- (sqrt -1))) into (log (- (sqrt -1))) 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (- 0) into 0 0.587 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.589 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.590 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.591 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.591 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.591 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow (- (sqrt -1)) 1)))) 1) into (/ 1.0 (sqrt -1)) 0.597 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 0.598 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.598 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (- 0) into 0 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.604 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.605 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.607 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.607 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.621 * [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 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.622 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.622 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.623 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.624 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (- 0) into 0 0.625 * [backup-simplify]: Simplify (+ 0 0) into 0 0.629 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.630 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.631 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.631 * [backup-simplify]: Simplify (+ 0 0) into 0 0.631 * [backup-simplify]: Simplify (- 0) into 0 0.632 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.658 * [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)) 0.659 * [backup-simplify]: Simplify (/ -0.16666666666666666 (pow (sqrt -1) 3)) into (/ -0.16666666666666666 (pow (sqrt -1) 3)) 0.661 * [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))))) 0.662 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.662 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.662 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.662 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.662 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * [backup-simplify]: Simplify 1.0 into 1.0 0.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.662 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.663 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.663 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.663 * [taylor]: Taking taylor expansion of 1.0 in x 0.663 * [backup-simplify]: Simplify 1.0 into 1.0 0.663 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 1 into 1 0.663 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.664 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.664 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.665 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify (* 1 1) into 1 0.665 * [backup-simplify]: Simplify (- 1) into -1 0.665 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.667 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.667 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.668 * [backup-simplify]: Simplify (- 0) into 0 0.668 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.670 * [backup-simplify]: Simplify (- 0) into 0 0.670 * [backup-simplify]: Simplify (+ 0 0) into 0 0.673 * [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)) 0.674 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.676 * [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))))) 0.676 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.676 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.676 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [backup-simplify]: Simplify 1.0 into 1.0 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 1 into 1 0.677 * [backup-simplify]: Simplify (* 1 1) into 1 0.677 * [backup-simplify]: Simplify (/ 1 1) into 1 0.677 * [backup-simplify]: Simplify (- 1) into -1 0.677 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.677 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.678 * [backup-simplify]: Simplify (- 0) into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.679 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.679 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.679 * [taylor]: Taking taylor expansion of 1.0 in x 0.679 * [backup-simplify]: Simplify 1.0 into 1.0 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.679 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (* 1 1) into 1 0.680 * [backup-simplify]: Simplify (/ 1 1) into 1 0.680 * [backup-simplify]: Simplify (- 1) into -1 0.680 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.680 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.681 * [backup-simplify]: Simplify (- 0) into 0 0.681 * [backup-simplify]: Simplify (+ 0 0) into 0 0.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.682 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.682 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (- 0) into 0 0.684 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.685 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.686 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.687 * [backup-simplify]: Simplify (- 0) into 0 0.687 * [backup-simplify]: Simplify (+ 0 0) into 0 0.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (- 0) into 0 0.690 * [backup-simplify]: Simplify (+ 0 0) into 0 0.693 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.694 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.696 * [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))))) 0.696 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.696 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.696 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.696 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.696 * [taylor]: Taking taylor expansion of 1.0 in x 0.696 * [backup-simplify]: Simplify 1.0 into 1.0 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (* 1 1) into 1 0.697 * [backup-simplify]: Simplify (/ 1 1) into 1 0.697 * [backup-simplify]: Simplify (- 1) into -1 0.697 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.697 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.698 * [backup-simplify]: Simplify (- 0) into 0 0.699 * [backup-simplify]: Simplify (+ 0 0) into 0 0.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.699 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.699 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.699 * [taylor]: Taking taylor expansion of 1.0 in x 0.699 * [backup-simplify]: Simplify 1.0 into 1.0 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.699 * [taylor]: Taking taylor expansion of (pow x 2) 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 (- 1) into -1 0.700 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.700 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (- 0) into 0 0.701 * [backup-simplify]: Simplify (+ 0 0) into 0 0.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.702 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.702 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.703 * [backup-simplify]: Simplify (- 0) into 0 0.703 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.705 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.706 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.707 * [backup-simplify]: Simplify (- 0) into 0 0.707 * [backup-simplify]: Simplify (+ 0 0) into 0 0.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.709 * [backup-simplify]: Simplify (- 0) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.713 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.714 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.716 * [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)))) 0.716 * * * [progress]: simplifying candidates 0.718 * [simplify]: Simplifying: (- (log (sqrt (- 1.0 (* x x)))) (log x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (/ (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (* (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (- (sqrt (- 1.0 (* x x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 1) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 1) (/ (sqrt (cbrt (- 1.0 (* x x)))) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) x)) 1) (/ (sqrt (- (sqrt 1.0) x)) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) 1) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (* (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 (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 (* (cbrt x) (cbrt x)))) (log (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (log (/ 1 1)) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (log (* x x)) (log (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (log (+ (* (/ 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)))) (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) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (+ (/ (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 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (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)))))))) (- (+ (log (sqrt -1)) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (+ (log (- (sqrt -1))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (* 1.0 (/ 1 (* x (sqrt -1))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.718 * [simplify]: Sending expressions to egg_math: (- (log (sqrt (- h0 (* h1 h1)))) (log h1)) (log (/ (sqrt (- h0 (* h1 h1))) h1)) (exp (/ (sqrt (- h0 (* h1 h1))) h1)) (/ (* (* (sqrt (- h0 (* h1 h1))) (sqrt (- h0 (* h1 h1)))) (sqrt (- h0 (* h1 h1)))) (* (* h1 h1) h1)) (* (cbrt (/ (sqrt (- h0 (* h1 h1))) h1)) (cbrt (/ (sqrt (- h0 (* h1 h1))) h1))) (cbrt (/ (sqrt (- h0 (* h1 h1))) h1)) (* (* (/ (sqrt (- h0 (* h1 h1))) h1) (/ (sqrt (- h0 (* h1 h1))) h1)) (/ (sqrt (- h0 (* h1 h1))) h1)) (sqrt (/ (sqrt (- h0 (* h1 h1))) h1)) (sqrt (/ (sqrt (- h0 (* h1 h1))) h1)) (- (sqrt (- h0 (* h1 h1)))) (- h1) (/ (* (cbrt (sqrt (- h0 (* h1 h1)))) (cbrt (sqrt (- h0 (* h1 h1))))) (* (cbrt h1) (cbrt h1))) (/ (cbrt (sqrt (- h0 (* h1 h1)))) (cbrt h1)) (/ (* (cbrt (sqrt (- h0 (* h1 h1)))) (cbrt (sqrt (- h0 (* h1 h1))))) (sqrt h1)) (/ (cbrt (sqrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (* (cbrt (sqrt (- h0 (* h1 h1)))) (cbrt (sqrt (- h0 (* h1 h1))))) 1) (/ (cbrt (sqrt (- h0 (* h1 h1)))) h1) (/ (sqrt (* (cbrt (- h0 (* h1 h1))) (cbrt (- h0 (* h1 h1))))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (cbrt (- h0 (* h1 h1)))) (cbrt h1)) (/ (sqrt (* (cbrt (- h0 (* h1 h1))) (cbrt (- h0 (* h1 h1))))) (sqrt h1)) (/ (sqrt (cbrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (sqrt (* (cbrt (- h0 (* h1 h1))) (cbrt (- h0 (* h1 h1))))) 1) (/ (sqrt (cbrt (- h0 (* h1 h1)))) h1) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (cbrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) 1) (/ (sqrt (sqrt (- h0 (* h1 h1)))) h1) (/ (sqrt 1) (* (cbrt h1) (cbrt h1))) (/ (sqrt (- h0 (* h1 h1))) (cbrt h1)) (/ (sqrt 1) (sqrt h1)) (/ (sqrt (- h0 (* h1 h1))) (sqrt h1)) (/ (sqrt 1) 1) (/ (sqrt (- h0 (* h1 h1))) h1) (/ (sqrt (+ (sqrt h0) h1)) (* (cbrt h1) (cbrt h1))) (/ (sqrt (- (sqrt h0) h1)) (cbrt h1)) (/ (sqrt (+ (sqrt h0) h1)) (sqrt h1)) (/ (sqrt (- (sqrt h0) h1)) (sqrt h1)) (/ (sqrt (+ (sqrt h0) h1)) 1) (/ (sqrt (- (sqrt h0) h1)) h1) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (cbrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) 1) (/ (sqrt (sqrt (- h0 (* h1 h1)))) h1) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (sqrt (- h0 (* h1 h1))) (cbrt h1)) (/ 1 (sqrt h1)) (/ (sqrt (- h0 (* h1 h1))) (sqrt h1)) (/ 1 1) (/ (sqrt (- h0 (* h1 h1))) h1) (/ 1 h1) (/ h1 (sqrt (- h0 (* h1 h1)))) (/ (sqrt (- h0 (* h1 h1))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (- h0 (* h1 h1))) (sqrt h1)) (/ (sqrt (- h0 (* h1 h1))) 1) (/ h1 (cbrt (sqrt (- h0 (* h1 h1))))) (/ h1 (sqrt (cbrt (- h0 (* h1 h1))))) (/ h1 (sqrt (sqrt (- h0 (* h1 h1))))) (/ h1 (sqrt (- h0 (* h1 h1)))) (/ h1 (sqrt (- (sqrt h0) h1))) (/ h1 (sqrt (sqrt (- h0 (* h1 h1))))) (/ h1 (sqrt (- h0 (* h1 h1)))) (* h1 (sqrt (+ (* h0 h0) (+ (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (* h1 (sqrt (+ h0 (* h1 h1)))) (* (exp (/ h0 h1)) (exp (/ (sqrt (- h0 (* h1 h1))) h1))) (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) (exp (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) (* (cbrt (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) (cbrt (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)))) (cbrt (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) (* (* (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)) (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) (sqrt (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) (sqrt (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) (+ (* h0 h1) (* h1 (sqrt (- h0 (* h1 h1))))) (* h1 h1) (+ (pow (/ h0 h1) 3) (pow (/ (sqrt (- h0 (* h1 h1))) h1) 3)) (+ (* (/ h0 h1) (/ h0 h1)) (- (* (/ (sqrt (- h0 (* h1 h1))) h1) (/ (sqrt (- h0 (* h1 h1))) h1)) (* (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)))) (- (* (/ h0 h1) (/ h0 h1)) (* (/ (sqrt (- h0 (* h1 h1))) h1) (/ (sqrt (- h0 (* h1 h1))) h1))) (- (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)) (+ (/ h0 (cbrt h1)) (/ (sqrt (- h0 (* h1 h1))) (cbrt h1))) (+ (/ h0 (sqrt h1)) (/ (sqrt (- h0 (* h1 h1))) (sqrt h1))) (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)) (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)) (+ h0 (sqrt (- h0 (* h1 h1)))) (log (* (cbrt (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) (cbrt (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))))) (log (cbrt (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)))) (log (sqrt (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)))) (log (sqrt (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)))) (log 1) (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) (log (/ 1 (* (cbrt h1) (cbrt h1)))) (log (+ (/ h0 (cbrt h1)) (/ (sqrt (- h0 (* h1 h1))) (cbrt h1)))) (log (/ 1 (sqrt h1))) (log (+ (/ h0 (sqrt h1)) (/ (sqrt (- h0 (* h1 h1))) (sqrt h1)))) (log (/ 1 1)) (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) (log 1) (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) (log (/ 1 h1)) (log (+ h0 (sqrt (- h0 (* h1 h1))))) (log (+ (* h0 h1) (* h1 (sqrt (- h0 (* h1 h1)))))) (log (* h1 h1)) (log (+ (pow (/ h0 h1) 3) (pow (/ (sqrt (- h0 (* h1 h1))) h1) 3))) (log (+ (* (/ h0 h1) (/ h0 h1)) (- (* (/ (sqrt (- h0 (* h1 h1))) h1) (/ (sqrt (- h0 (* h1 h1))) h1)) (* (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))))) (log (- (* (/ h0 h1) (/ h0 h1)) (* (/ (sqrt (- h0 (* h1 h1))) h1) (/ (sqrt (- h0 (* h1 h1))) h1)))) (log (- (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) (log (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)))) (exp (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)))) (* (cbrt (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)))) (cbrt (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))))) (cbrt (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)))) (* (* (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)))) (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)))) (sqrt (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)))) (sqrt (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1)))) (log (sqrt (- h0 (* h1 h1)))) (exp (sqrt (- h0 (* h1 h1)))) (* (cbrt (sqrt (- h0 (* h1 h1)))) (cbrt (sqrt (- h0 (* h1 h1))))) (cbrt (sqrt (- h0 (* h1 h1)))) (* (* (sqrt (- h0 (* h1 h1))) (sqrt (- h0 (* h1 h1)))) (sqrt (- h0 (* h1 h1)))) (sqrt (* (cbrt (- h0 (* h1 h1))) (cbrt (- h0 (* h1 h1))))) (sqrt (cbrt (- h0 (* h1 h1)))) (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt 1) (sqrt (- h0 (* h1 h1))) (sqrt (+ (sqrt h0) h1)) (sqrt (- (sqrt h0) h1)) (sqrt (- (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (+ (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (+ h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt (sqrt (- h0 (* h1 h1)))) (- (/ (sqrt h0) h1) (+ (* 1/2 (/ h1 (sqrt h0))) (* 1/8 (/ (pow h1 3) (pow (sqrt h0) 3))))) (- (+ (* h2 (/ 1 (* (pow h1 2) (sqrt -1)))) (sqrt -1)) (* h3 (/ 1 (* (pow h1 4) (pow (sqrt -1) 3))))) (- (* h3 (/ 1 (* (pow h1 4) (pow (sqrt -1) 3)))) (+ (* h2 (/ 1 (* (pow h1 2) (sqrt -1)))) (sqrt -1))) (- (+ (/ (sqrt h0) h1) (* h0 (/ 1 h1))) (+ (* 1/2 (/ h1 (sqrt h0))) (* 1/8 (/ (pow h1 3) (pow (sqrt h0) 3))))) (+ (* h2 (/ 1 (* (pow h1 2) (sqrt -1)))) (+ (sqrt -1) (* h0 (/ 1 h1)))) (- (* h0 (/ 1 h1)) (+ (* h2 (/ 1 (* (pow h1 2) (sqrt -1)))) (sqrt -1))) (- (log (+ (sqrt h0) h0)) (+ (* 1/2 (/ (pow h1 2) (* (sqrt h0) (+ (sqrt h0) h0)))) (+ (* 1/8 (/ (pow h1 4) (* (pow (sqrt h0) 3) (+ (sqrt h0) h0)))) (+ (log h1) (* 1/8 (/ (pow h1 4) (* (pow (sqrt h0) 2) (pow (+ (sqrt h0) h0) 2)))))))) (- (+ (log (sqrt -1)) (* h0 (/ 1 (* h1 (sqrt -1))))) (* h4 (/ 1 (* (pow h1 3) (pow (sqrt -1) 3))))) (- (+ (log (- (sqrt -1))) (* h4 (/ 1 (* (pow h1 3) (pow (sqrt -1) 3))))) (* h0 (/ 1 (* h1 (sqrt -1))))) (- (sqrt h0) (+ (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3))) (* 1/2 (/ (pow h1 2) (sqrt h0))))) (- (+ (* h2 (/ 1 (* h1 (sqrt -1)))) (* h1 (sqrt -1))) (* h3 (/ 1 (* (pow h1 3) (pow (sqrt -1) 3))))) (- (* h3 (/ 1 (* (pow h1 3) (pow (sqrt -1) 3)))) (+ (* h2 (/ 1 (* h1 (sqrt -1)))) (* h1 (sqrt -1)))) 0.725 * * [simplify]: iteration 0 : 512 enodes (cost 1016 ) 0.734 * * [simplify]: iteration 1 : 1814 enodes (cost 965 ) 0.764 * * [simplify]: iteration 2 : 5002 enodes (cost 961 ) 0.769 * * * [progress]: adding candidates to table 1.047 * * [progress]: iteration 2 / 4 1.047 * * * [progress]: picking best candidate 1.050 * * * * [pick]: Picked # 1.050 * * * [progress]: localizing error 1.063 * * * [progress]: generating rewritten candidates 1.063 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.101 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 2 1) 1.106 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 1) 1.111 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1) 1.123 * * * [progress]: generating series expansions 1.123 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.124 * [backup-simplify]: Simplify (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ x (cbrt (sqrt (- 1.0 (* x x)))))) into (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) 1.124 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 1.124 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.124 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.124 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.124 * [taylor]: Taking taylor expansion of 1.0 in x 1.124 * [backup-simplify]: Simplify 1.0 into 1.0 1.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 1 into 1 1.125 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.125 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.125 * [backup-simplify]: Simplify (+ 0 0) into 0 1.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.126 * [backup-simplify]: Simplify (/ 1 1) into 1 1.126 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.126 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.126 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.126 * [taylor]: Taking taylor expansion of 1.0 in x 1.126 * [backup-simplify]: Simplify 1.0 into 1.0 1.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.126 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.127 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.127 * [backup-simplify]: Simplify (+ 0 0) into 0 1.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (/ 1 1) into 1 1.128 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 1.128 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.129 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 1.129 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.130 * [backup-simplify]: Simplify (* 1 1) into 1 1.130 * [backup-simplify]: Simplify (- 1) into -1 1.130 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.132 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.135 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 1.136 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 1.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.137 * [backup-simplify]: Simplify (- 0) into 0 1.137 * [backup-simplify]: Simplify (+ 0 0) into 0 1.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.139 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 1.139 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.140 * [backup-simplify]: Simplify (- 0) into 0 1.140 * [backup-simplify]: Simplify (+ 0 0) into 0 1.144 * [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)) 1.150 * [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)))) 1.152 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.156 * [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 x)))) into (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) 1.157 * [backup-simplify]: Simplify (/ (* (cbrt (sqrt (- 1.0 (* (/ 1 x) (/ 1 x))))) (cbrt (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))))) (/ (/ 1 x) (cbrt (sqrt (- 1.0 (* (/ 1 x) (/ 1 x))))))) into (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) 1.157 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 1.157 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [backup-simplify]: Simplify 1.0 into 1.0 1.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [backup-simplify]: Simplify (* 1 1) into 1 1.157 * [backup-simplify]: Simplify (/ 1 1) into 1 1.158 * [backup-simplify]: Simplify (- 1) into -1 1.158 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.158 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.159 * [backup-simplify]: Simplify (- 0) into 0 1.159 * [backup-simplify]: Simplify (+ 0 0) into 0 1.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.159 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify 1 into 1 1.160 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.160 * [taylor]: Taking taylor expansion of 1.0 in x 1.160 * [backup-simplify]: Simplify 1.0 into 1.0 1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify 1 into 1 1.160 * [backup-simplify]: Simplify (* 1 1) into 1 1.160 * [backup-simplify]: Simplify (/ 1 1) into 1 1.160 * [backup-simplify]: Simplify (- 1) into -1 1.161 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.161 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.167 * [backup-simplify]: Simplify (- 0) into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.168 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 1.168 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 1.169 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.171 * [backup-simplify]: Simplify (- 0) into 0 1.171 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.173 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.173 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 1.173 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.175 * [backup-simplify]: Simplify (- 0) into 0 1.175 * [backup-simplify]: Simplify (+ 0 0) into 0 1.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.178 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 1.179 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.181 * [backup-simplify]: Simplify (- 0) into 0 1.181 * [backup-simplify]: Simplify (+ 0 0) into 0 1.184 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.185 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.187 * [backup-simplify]: Simplify (- 0) into 0 1.187 * [backup-simplify]: Simplify (+ 0 0) into 0 1.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 1.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 0 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 1.195 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 1.198 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 4)) (+ (* (/ 0.5 (sqrt -1)) (pow (/ 1 x) 2)) (sqrt -1))) into (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) 1.199 * [backup-simplify]: Simplify (/ (* (cbrt (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x)))))) (cbrt (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))))) (/ (/ 1 (- x)) (cbrt (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x)))))))) into (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) 1.199 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 1.199 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.199 * [taylor]: Taking taylor expansion of -1 in x 1.199 * [backup-simplify]: Simplify -1 into -1 1.199 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 1 into 1 1.199 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.199 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [backup-simplify]: Simplify 1.0 into 1.0 1.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 1 into 1 1.199 * [backup-simplify]: Simplify (* 1 1) into 1 1.199 * [backup-simplify]: Simplify (/ 1 1) into 1 1.199 * [backup-simplify]: Simplify (- 1) into -1 1.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.200 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.201 * [backup-simplify]: Simplify (- 0) into 0 1.201 * [backup-simplify]: Simplify (+ 0 0) into 0 1.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.202 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.202 * [taylor]: Taking taylor expansion of -1 in x 1.202 * [backup-simplify]: Simplify -1 into -1 1.202 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.202 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.202 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.202 * [taylor]: Taking taylor expansion of 1.0 in x 1.202 * [backup-simplify]: Simplify 1.0 into 1.0 1.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.202 * [backup-simplify]: Simplify (* 1 1) into 1 1.202 * [backup-simplify]: Simplify (/ 1 1) into 1 1.203 * [backup-simplify]: Simplify (- 1) into -1 1.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.203 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.204 * [backup-simplify]: Simplify (- 0) into 0 1.204 * [backup-simplify]: Simplify (+ 0 0) into 0 1.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.205 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 1.205 * [backup-simplify]: Simplify (* -1 0) into 0 1.205 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 1.207 * [backup-simplify]: Simplify (+ (* -1 (sqrt -1)) (* 0 0)) into (- (sqrt -1)) 1.208 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.209 * [backup-simplify]: Simplify (- 0) into 0 1.209 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.211 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.212 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 1.212 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt -1)) (* 0 0))) into 0 1.212 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.213 * [backup-simplify]: Simplify (- 0) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 1.220 * [backup-simplify]: Simplify (+ (* -1 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 1.221 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 1.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.222 * [backup-simplify]: Simplify (- 0) into 0 1.223 * [backup-simplify]: Simplify (+ 0 0) into 0 1.226 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.227 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 1.228 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0))))) into 0 1.228 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.230 * [backup-simplify]: Simplify (- 0) into 0 1.230 * [backup-simplify]: Simplify (+ 0 0) into 0 1.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 1.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 0 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 1.241 * [backup-simplify]: Simplify (+ (* -1 (- (* 0.125 (/ 1 (pow (sqrt -1) 3))))) (+ (* 0 0) (+ (* 0 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))))) into (* 0.125 (/ 1 (pow (sqrt -1) 3))) 1.243 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow (sqrt -1) 3))) into (/ 0.125 (pow (sqrt -1) 3)) 1.251 * [backup-simplify]: Simplify (+ (* (/ 0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 4)) (+ (* (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (- (sqrt -1)))) into (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 1.252 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 2 1) 1.252 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 1.252 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 1.252 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.252 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.252 * [taylor]: Taking taylor expansion of 1.0 in x 1.252 * [backup-simplify]: Simplify 1.0 into 1.0 1.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.252 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.253 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.253 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.253 * [taylor]: Taking taylor expansion of 1.0 in x 1.253 * [backup-simplify]: Simplify 1.0 into 1.0 1.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 1 into 1 1.253 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.253 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.254 * [backup-simplify]: Simplify (+ 0 0) into 0 1.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.254 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.254 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify (* 1 1) into 1 1.255 * [backup-simplify]: Simplify (- 1) into -1 1.255 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.256 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.257 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 1.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.258 * [backup-simplify]: Simplify (- 0) into 0 1.258 * [backup-simplify]: Simplify (+ 0 0) into 0 1.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.259 * [backup-simplify]: Simplify (- 0) into 0 1.259 * [backup-simplify]: Simplify (+ 0 0) into 0 1.263 * [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)) 1.264 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.266 * [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))))) 1.266 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.266 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.266 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.266 * [taylor]: Taking taylor expansion of 1.0 in x 1.266 * [backup-simplify]: Simplify 1.0 into 1.0 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.266 * [taylor]: Taking taylor expansion of x in x 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [backup-simplify]: Simplify (* 1 1) into 1 1.267 * [backup-simplify]: Simplify (/ 1 1) into 1 1.267 * [backup-simplify]: Simplify (- 1) into -1 1.267 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.267 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.268 * [backup-simplify]: Simplify (- 0) into 0 1.268 * [backup-simplify]: Simplify (+ 0 0) into 0 1.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.269 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.269 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.269 * [taylor]: Taking taylor expansion of 1.0 in x 1.269 * [backup-simplify]: Simplify 1.0 into 1.0 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.269 * [taylor]: Taking taylor expansion of x in x 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify 1 into 1 1.269 * [backup-simplify]: Simplify (* 1 1) into 1 1.269 * [backup-simplify]: Simplify (/ 1 1) into 1 1.270 * [backup-simplify]: Simplify (- 1) into -1 1.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.270 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.271 * [backup-simplify]: Simplify (- 0) into 0 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.272 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.273 * [backup-simplify]: Simplify (- 0) into 0 1.273 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.275 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.275 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.277 * [backup-simplify]: Simplify (- 0) into 0 1.277 * [backup-simplify]: Simplify (+ 0 0) into 0 1.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.279 * [backup-simplify]: Simplify (- 0) into 0 1.279 * [backup-simplify]: Simplify (+ 0 0) into 0 1.282 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.283 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.285 * [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))))) 1.285 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.285 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.285 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.285 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.285 * [taylor]: Taking taylor expansion of 1.0 in x 1.285 * [backup-simplify]: Simplify 1.0 into 1.0 1.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 1 into 1 1.286 * [backup-simplify]: Simplify (* 1 1) into 1 1.286 * [backup-simplify]: Simplify (/ 1 1) into 1 1.286 * [backup-simplify]: Simplify (- 1) into -1 1.286 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.287 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.288 * [backup-simplify]: Simplify (- 0) into 0 1.288 * [backup-simplify]: Simplify (+ 0 0) into 0 1.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.288 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.288 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.288 * [taylor]: Taking taylor expansion of 1.0 in x 1.288 * [backup-simplify]: Simplify 1.0 into 1.0 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 1 into 1 1.288 * [backup-simplify]: Simplify (* 1 1) into 1 1.289 * [backup-simplify]: Simplify (/ 1 1) into 1 1.289 * [backup-simplify]: Simplify (- 1) into -1 1.289 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.289 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.290 * [backup-simplify]: Simplify (- 0) into 0 1.290 * [backup-simplify]: Simplify (+ 0 0) into 0 1.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.291 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.291 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.292 * [backup-simplify]: Simplify (- 0) into 0 1.293 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.294 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.295 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.296 * [backup-simplify]: Simplify (- 0) into 0 1.296 * [backup-simplify]: Simplify (+ 0 0) into 0 1.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.297 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.298 * [backup-simplify]: Simplify (- 0) into 0 1.299 * [backup-simplify]: Simplify (+ 0 0) into 0 1.302 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.303 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.305 * [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)))) 1.305 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 1) 1.305 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 1.305 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 1.305 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.305 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.305 * [taylor]: Taking taylor expansion of 1.0 in x 1.305 * [backup-simplify]: Simplify 1.0 into 1.0 1.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.305 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.306 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.306 * [backup-simplify]: Simplify (+ 0 0) into 0 1.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.306 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.306 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.306 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [backup-simplify]: Simplify 1.0 into 1.0 1.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 1 into 1 1.307 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.307 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.307 * [backup-simplify]: Simplify (+ 0 0) into 0 1.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.308 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify (* 1 1) into 1 1.308 * [backup-simplify]: Simplify (- 1) into -1 1.308 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.310 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.310 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 1.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.311 * [backup-simplify]: Simplify (- 0) into 0 1.311 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.313 * [backup-simplify]: Simplify (- 0) into 0 1.313 * [backup-simplify]: Simplify (+ 0 0) into 0 1.316 * [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)) 1.317 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.319 * [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))))) 1.319 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.319 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.319 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.319 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.319 * [taylor]: Taking taylor expansion of 1.0 in x 1.319 * [backup-simplify]: Simplify 1.0 into 1.0 1.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 1 into 1 1.319 * [backup-simplify]: Simplify (* 1 1) into 1 1.320 * [backup-simplify]: Simplify (/ 1 1) into 1 1.320 * [backup-simplify]: Simplify (- 1) into -1 1.320 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.320 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.321 * [backup-simplify]: Simplify (- 0) into 0 1.321 * [backup-simplify]: Simplify (+ 0 0) into 0 1.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.322 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.322 * [taylor]: Taking taylor expansion of 1.0 in x 1.322 * [backup-simplify]: Simplify 1.0 into 1.0 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify 1 into 1 1.322 * [backup-simplify]: Simplify (* 1 1) into 1 1.322 * [backup-simplify]: Simplify (/ 1 1) into 1 1.323 * [backup-simplify]: Simplify (- 1) into -1 1.323 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.323 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.324 * [backup-simplify]: Simplify (- 0) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.325 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (- 0) into 0 1.326 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.328 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.329 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.330 * [backup-simplify]: Simplify (- 0) into 0 1.330 * [backup-simplify]: Simplify (+ 0 0) into 0 1.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.338 * [backup-simplify]: Simplify (- 0) into 0 1.339 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.343 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.345 * [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))))) 1.345 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.345 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.345 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.345 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.345 * [taylor]: Taking taylor expansion of 1.0 in x 1.345 * [backup-simplify]: Simplify 1.0 into 1.0 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 1 into 1 1.346 * [backup-simplify]: Simplify (* 1 1) into 1 1.346 * [backup-simplify]: Simplify (/ 1 1) into 1 1.346 * [backup-simplify]: Simplify (- 1) into -1 1.346 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.347 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.347 * [backup-simplify]: Simplify (- 0) into 0 1.348 * [backup-simplify]: Simplify (+ 0 0) into 0 1.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.348 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.348 * [taylor]: Taking taylor expansion of 1.0 in x 1.348 * [backup-simplify]: Simplify 1.0 into 1.0 1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify (* 1 1) into 1 1.349 * [backup-simplify]: Simplify (/ 1 1) into 1 1.349 * [backup-simplify]: Simplify (- 1) into -1 1.349 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.349 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.350 * [backup-simplify]: Simplify (- 0) into 0 1.350 * [backup-simplify]: Simplify (+ 0 0) into 0 1.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.351 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.351 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.352 * [backup-simplify]: Simplify (- 0) into 0 1.353 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.354 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.355 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.356 * [backup-simplify]: Simplify (- 0) into 0 1.356 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.357 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.358 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [backup-simplify]: Simplify (+ 0 0) into 0 1.362 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.363 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.365 * [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)))) 1.365 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1) 1.365 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 1.365 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 1.365 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.365 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.365 * [taylor]: Taking taylor expansion of 1.0 in x 1.365 * [backup-simplify]: Simplify 1.0 into 1.0 1.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.365 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.366 * [backup-simplify]: Simplify (+ 0 0) into 0 1.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.366 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.366 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.366 * [taylor]: Taking taylor expansion of 1.0 in x 1.366 * [backup-simplify]: Simplify 1.0 into 1.0 1.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.367 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.367 * [backup-simplify]: Simplify (+ 0 0) into 0 1.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.367 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify (* 1 1) into 1 1.368 * [backup-simplify]: Simplify (- 1) into -1 1.368 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.370 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.370 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.371 * [backup-simplify]: Simplify (- 0) into 0 1.371 * [backup-simplify]: Simplify (+ 0 0) into 0 1.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.372 * [backup-simplify]: Simplify (- 0) into 0 1.372 * [backup-simplify]: Simplify (+ 0 0) into 0 1.376 * [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)) 1.377 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.378 * [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))))) 1.379 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.379 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.379 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.379 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.379 * [taylor]: Taking taylor expansion of 1.0 in x 1.379 * [backup-simplify]: Simplify 1.0 into 1.0 1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify (* 1 1) into 1 1.379 * [backup-simplify]: Simplify (/ 1 1) into 1 1.379 * [backup-simplify]: Simplify (- 1) into -1 1.380 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.380 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.381 * [backup-simplify]: Simplify (- 0) into 0 1.381 * [backup-simplify]: Simplify (+ 0 0) into 0 1.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.381 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.381 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.381 * [taylor]: Taking taylor expansion of 1.0 in x 1.381 * [backup-simplify]: Simplify 1.0 into 1.0 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.381 * [taylor]: Taking taylor expansion of x in x 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 1 into 1 1.382 * [backup-simplify]: Simplify (* 1 1) into 1 1.382 * [backup-simplify]: Simplify (/ 1 1) into 1 1.382 * [backup-simplify]: Simplify (- 1) into -1 1.382 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.383 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (- 0) into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.384 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.384 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.385 * [backup-simplify]: Simplify (- 0) into 0 1.386 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.388 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.388 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.389 * [backup-simplify]: Simplify (- 0) into 0 1.389 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.391 * [backup-simplify]: Simplify (- 0) into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.395 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.396 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.398 * [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))))) 1.398 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.398 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.398 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.398 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.398 * [taylor]: Taking taylor expansion of 1.0 in x 1.398 * [backup-simplify]: Simplify 1.0 into 1.0 1.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [backup-simplify]: Simplify (* 1 1) into 1 1.398 * [backup-simplify]: Simplify (/ 1 1) into 1 1.399 * [backup-simplify]: Simplify (- 1) into -1 1.399 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.399 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (- 0) into 0 1.400 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.401 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.401 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.401 * [taylor]: Taking taylor expansion of 1.0 in x 1.401 * [backup-simplify]: Simplify 1.0 into 1.0 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (* 1 1) into 1 1.401 * [backup-simplify]: Simplify (/ 1 1) into 1 1.402 * [backup-simplify]: Simplify (- 1) into -1 1.402 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.402 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.403 * [backup-simplify]: Simplify (- 0) into 0 1.403 * [backup-simplify]: Simplify (+ 0 0) into 0 1.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.404 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.405 * [backup-simplify]: Simplify (- 0) into 0 1.405 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.407 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.408 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (- 0) into 0 1.409 * [backup-simplify]: Simplify (+ 0 0) into 0 1.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.411 * [backup-simplify]: Simplify (- 0) into 0 1.411 * [backup-simplify]: Simplify (+ 0 0) into 0 1.415 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.415 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.417 * [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)))) 1.417 * * * [progress]: simplifying candidates 1.426 * [simplify]: Simplifying: (- (+ (log (cbrt (sqrt (- 1.0 (* x x))))) (log (cbrt (sqrt (- 1.0 (* x x)))))) (- (log x) (log (cbrt (sqrt (- 1.0 (* x x))))))) (- (+ (log (cbrt (sqrt (- 1.0 (* x x))))) (log (cbrt (sqrt (- 1.0 (* x x)))))) (log (/ x (cbrt (sqrt (- 1.0 (* x x))))))) (- (log (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))) (- (log x) (log (cbrt (sqrt (- 1.0 (* x x))))))) (- (log (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))) (log (/ x (cbrt (sqrt (- 1.0 (* x x))))))) (log (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ x (cbrt (sqrt (- 1.0 (* x x))))))) (exp (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ x (cbrt (sqrt (- 1.0 (* x x))))))) (/ (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (/ (* (* x x) x) (sqrt (- 1.0 (* x x))))) (/ (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* (* (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (cbrt (sqrt (- 1.0 (* x x)))))) (/ x (cbrt (sqrt (- 1.0 (* x x))))))) (/ (* (* (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))) (/ (* (* x x) x) (sqrt (- 1.0 (* x x))))) (/ (* (* (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))) (* (* (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (cbrt (sqrt (- 1.0 (* x x)))))) (/ x (cbrt (sqrt (- 1.0 (* x x))))))) (* (cbrt (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ x (cbrt (sqrt (- 1.0 (* x x))))))) (cbrt (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ x (cbrt (sqrt (- 1.0 (* x x)))))))) (cbrt (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ x (cbrt (sqrt (- 1.0 (* x x))))))) (* (* (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ x (cbrt (sqrt (- 1.0 (* x x)))))) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ x (cbrt (sqrt (- 1.0 (* x x))))))) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ x (cbrt (sqrt (- 1.0 (* x x))))))) (sqrt (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ x (cbrt (sqrt (- 1.0 (* x x))))))) (sqrt (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ x (cbrt (sqrt (- 1.0 (* x x))))))) (- (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))) (- (/ x (cbrt (sqrt (- 1.0 (* x x)))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (* (cbrt (/ x (cbrt (sqrt (- 1.0 (* x x)))))) (cbrt (/ x (cbrt (sqrt (- 1.0 (* x x)))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (/ x (cbrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt (/ x (cbrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt (/ x (cbrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (* (cbrt x) (cbrt x)) (cbrt (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (cbrt x) (cbrt (cbrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (* (cbrt x) (cbrt x)) (cbrt (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (cbrt x) (cbrt (sqrt (cbrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (* (cbrt x) (cbrt x)) (cbrt (sqrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (cbrt x) (cbrt (sqrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (* (cbrt x) (cbrt x)) (cbrt (sqrt 1)))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (cbrt x) (cbrt (sqrt (- 1.0 (* x x)))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (* (cbrt x) (cbrt x)) (cbrt (sqrt (+ (sqrt 1.0) x))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (cbrt x) (cbrt (sqrt (- (sqrt 1.0) x))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (* (cbrt x) (cbrt x)) (cbrt (sqrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (cbrt x) (cbrt (sqrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (* (cbrt x) (cbrt x)) (cbrt 1))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (cbrt x) (cbrt (sqrt (- 1.0 (* x x)))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (cbrt (sqrt (- 1.0 (* x x)))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (cbrt x) (cbrt (cbrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (cbrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (cbrt x) (sqrt (cbrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (cbrt x) (cbrt (sqrt (- 1.0 (* x x)))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt (cbrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt (sqrt (cbrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt (sqrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt (sqrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt (sqrt 1)))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt (sqrt (- 1.0 (* x x)))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt (sqrt (+ (sqrt 1.0) x))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt (sqrt (- (sqrt 1.0) x))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt (sqrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt (sqrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt 1))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt (sqrt (- 1.0 (* x x)))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (* (cbrt (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (cbrt (sqrt (- 1.0 (* x x)))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt (cbrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (sqrt (cbrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (sqrt (cbrt (sqrt (- 1.0 (* x x))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) 1)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt (sqrt (- 1.0 (* x x)))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ 1 (cbrt (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (/ x (cbrt (cbrt (sqrt (- 1.0 (* x 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h0 (* h1 h1)))) (sqrt 1) (sqrt (- h0 (* h1 h1))) (sqrt (+ (sqrt h0) h1)) (sqrt (- (sqrt h0) h1)) (sqrt (- (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (+ (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (+ h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt (sqrt (- h0 (* h1 h1)))) (- (/ (sqrt h0) h1) (+ (* 1/2 (/ h1 (sqrt h0))) (* 1/8 (/ (pow h1 3) (pow (sqrt h0) 3))))) (- (+ (* h2 (/ 1 (* (pow h1 2) (sqrt -1)))) (sqrt -1)) (* h3 (/ 1 (* (pow h1 4) (pow (sqrt -1) 3))))) (- (* h3 (/ 1 (* (pow h1 4) (pow (sqrt -1) 3)))) (+ (* h2 (/ 1 (* (pow h1 2) (sqrt -1)))) (sqrt -1))) (- (sqrt h0) (+ (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3))) (* 1/2 (/ (pow h1 2) (sqrt h0))))) (- (+ (* h2 (/ 1 (* h1 (sqrt -1)))) (* h1 (sqrt -1))) (* h3 (/ 1 (* (pow h1 3) (pow (sqrt -1) 3))))) (- (* h3 (/ 1 (* (pow h1 3) (pow (sqrt -1) 3)))) (+ (* h2 (/ 1 (* h1 (sqrt -1)))) (* h1 (sqrt -1)))) (- (sqrt h0) (+ (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3))) (* 1/2 (/ (pow h1 2) (sqrt h0))))) (- (+ (* h2 (/ 1 (* h1 (sqrt -1)))) (* h1 (sqrt -1))) (* h3 (/ 1 (* (pow h1 3) (pow (sqrt -1) 3))))) (- (* h3 (/ 1 (* (pow h1 3) (pow (sqrt -1) 3)))) (+ (* h2 (/ 1 (* h1 (sqrt -1)))) (* h1 (sqrt -1)))) (- (sqrt h0) (+ (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3))) (* 1/2 (/ (pow h1 2) (sqrt h0))))) (- (+ (* h2 (/ 1 (* h1 (sqrt -1)))) (* h1 (sqrt -1))) (* h3 (/ 1 (* (pow h1 3) (pow (sqrt -1) 3))))) (- (* h3 (/ 1 (* (pow h1 3) (pow (sqrt -1) 3)))) (+ (* h2 (/ 1 (* h1 (sqrt -1)))) (* h1 (sqrt -1)))) 1.436 * * [simplify]: iteration 0 : 663 enodes (cost 2364 ) 1.447 * * [simplify]: iteration 1 : 2999 enodes (cost 2255 ) 1.492 * * [simplify]: iteration 2 : 5001 enodes (cost 2178 ) 1.500 * * * [progress]: adding candidates to table 2.059 * [progress]: [Phase 3 of 3] Extracting. 2.061 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ x (cbrt (sqrt (- 1.0 (* x x)))))))) 2.061 * [simplify]: Sending expressions to egg_math: (log (+ (/ h0 h1) (/ (* (cbrt (sqrt (- h0 (* h1 h1)))) (cbrt (sqrt (- h0 (* h1 h1))))) (/ h1 (cbrt (sqrt (- h0 (* h1 h1)))))))) 2.062 * * [simplify]: iteration 0 : 13 enodes (cost 18 ) 2.062 * * [simplify]: iteration 1 : 13 enodes (cost 18 ) 3.616 * [regime-testing]: End program error score: 0.020971982435574882