15.849 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.087 * * * [progress]: [2/2] Setting up program. 0.092 * [progress]: [Phase 2 of 3] Improving. 0.092 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.093 * * [simplify]: Extracting # 0 : cost 0 0.093 * * [simplify]: Extracting # 1 : cost 0 0.093 * * [simplify]: Extracting # 2 : cost 0 0.093 * * [simplify]: Extracting # 3 : cost 0 0.093 * * [simplify]: Extracting # 4 : cost 0 0.093 * * [simplify]: Extracting # 5 : cost 0 0.093 * * [simplify]: Extracting # 6 : cost 0 0.093 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.096 * * [simplify]: Extracting # 0 : cost 0 0.097 * * [simplify]: Extracting # 1 : cost 0 0.097 * * [simplify]: Extracting # 2 : cost 0 0.097 * * [simplify]: iteration 1 : 12 enodes (cost 13 ) 0.098 * * [simplify]: Extracting # 0 : cost 0 0.098 * * [simplify]: Extracting # 1 : cost 0 0.098 * * [simplify]: Extracting # 2 : cost 0 0.099 * * [simplify]: iteration 2 : 16 enodes (cost 13 ) 0.101 * * [simplify]: Extracting # 0 : cost 0 0.101 * * [simplify]: iteration 3 : 18 enodes (cost 13 ) 0.104 * * [simplify]: Extracting # 0 : cost 0 0.104 * * [simplify]: iteration done: 18 enodes (cost 13 ) 0.104 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.104 * * [progress]: iteration 1 / 4 0.104 * * * [progress]: picking best candidate 0.107 * * * * [pick]: Picked # 0.107 * * * [progress]: localizing error 0.148 * * * [progress]: generating rewritten candidates 0.148 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.167 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.222 * * * [progress]: generating series expansions 0.222 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.223 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* x x))) x) into (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) 0.223 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.223 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.223 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.223 * [taylor]: Taking taylor expansion of 1.0 in x 0.223 * [backup-simplify]: Simplify 1.0 into 1.0 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.224 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.226 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [backup-simplify]: Simplify 1.0 into 1.0 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.227 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.230 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (* 1 1) into 1 0.233 * [backup-simplify]: Simplify (- 1) into -1 0.233 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.235 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.238 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.239 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.243 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [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)) 0.256 * [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)))) 0.258 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.266 * [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))))) 0.266 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) into (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.266 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.266 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.266 * [taylor]: Taking taylor expansion of 1.0 in x 0.266 * [backup-simplify]: Simplify 1.0 into 1.0 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (* 1 1) into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [backup-simplify]: Simplify (- 1) into -1 0.267 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.267 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.269 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.269 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.269 * [taylor]: Taking taylor expansion of 1.0 in x 0.269 * [backup-simplify]: Simplify 1.0 into 1.0 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [backup-simplify]: Simplify (- 1) into -1 0.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.271 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.273 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.274 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.278 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.279 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.291 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.298 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.311 * [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)))) 0.315 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 0.320 * [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))))) 0.321 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.321 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.321 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.321 * [taylor]: Taking taylor expansion of -1 in x 0.321 * [backup-simplify]: Simplify -1 into -1 0.321 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.321 * [taylor]: Taking taylor expansion of 1.0 in x 0.321 * [backup-simplify]: Simplify 1.0 into 1.0 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [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 0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.330 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.330 * [taylor]: Taking taylor expansion of -1 in x 0.330 * [backup-simplify]: Simplify -1 into -1 0.330 * [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 0.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.333 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.333 * [backup-simplify]: Simplify (* -1 0) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.336 * [backup-simplify]: Simplify (+ (* -1 (sqrt -1)) (* 0 0)) into (- (sqrt -1)) 0.336 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.340 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.341 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt -1)) (* 0 0))) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.350 * [backup-simplify]: Simplify (+ (* -1 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.352 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.359 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.360 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0))))) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.369 * [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)))) 0.378 * [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))) 0.380 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow (sqrt -1) 3))) into (/ 0.125 (pow (sqrt -1) 3)) 0.385 * [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))) 0.385 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.385 * [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))) 0.385 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.386 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.386 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [backup-simplify]: Simplify 1.0 into 1.0 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.387 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.388 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [backup-simplify]: Simplify 1.0 into 1.0 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.389 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.389 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.389 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [backup-simplify]: Simplify 1.0 into 1.0 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.390 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [backup-simplify]: Simplify 1.0 into 1.0 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.392 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.392 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.393 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (* 1 1) into 1 0.396 * [backup-simplify]: Simplify (- 1) into -1 0.396 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.398 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.401 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.405 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.407 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.409 * [backup-simplify]: Simplify (- 0) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.412 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.416 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [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)) 0.437 * [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)))) 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.444 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.448 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.455 * [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))))) 0.455 * [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)) 0.455 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.455 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.455 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.456 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.456 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [backup-simplify]: Simplify 1.0 into 1.0 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (* 1 1) into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [backup-simplify]: Simplify (- 1) into -1 0.457 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.458 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.460 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.461 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [backup-simplify]: Simplify 1.0 into 1.0 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.461 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.461 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [backup-simplify]: Simplify 1.0 into 1.0 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (* 1 1) into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [backup-simplify]: Simplify (- 1) into -1 0.462 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.463 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (- 0) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.466 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.466 * [backup-simplify]: Simplify 1.0 into 1.0 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.469 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.470 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.470 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.476 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.477 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.479 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.479 * [backup-simplify]: Simplify 1.0 into 1.0 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.490 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.492 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.494 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.495 * [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)))) 0.496 * [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))) 0.496 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.496 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.496 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.496 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [backup-simplify]: Simplify 1.0 into 1.0 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [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) 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- 0) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.501 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [backup-simplify]: Simplify 1.0 into 1.0 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.501 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.501 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [backup-simplify]: Simplify 1.0 into 1.0 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (* 1 1) into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [backup-simplify]: Simplify (- 1) into -1 0.503 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.503 * [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 0.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.506 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [backup-simplify]: Simplify 1.0 into 1.0 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (- 0) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.509 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.510 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.511 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.512 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (- 0) into 0 0.514 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.517 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.518 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.520 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.520 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.521 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (- 0) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.531 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.536 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.538 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.541 * [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))) 0.541 * * * [progress]: simplifying candidates 0.542 * [simplify]: Simplifying: (expm1 (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (- (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)))) (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x 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)))) (- (/ (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))) 0.544 * * [simplify]: Extracting # 0 : cost 0 0.544 * * [simplify]: Extracting # 1 : cost 0 0.544 * * [simplify]: Extracting # 2 : cost 0 0.545 * * [simplify]: Extracting # 3 : cost 0 0.545 * * [simplify]: Extracting # 4 : cost 0 0.545 * * [simplify]: Extracting # 5 : cost 0 0.545 * * [simplify]: Extracting # 6 : cost 0 0.545 * * [simplify]: Extracting # 7 : cost 0 0.545 * * [simplify]: Extracting # 8 : cost 0 0.546 * * [simplify]: iteration 0 : 156 enodes (cost 1177 ) 0.595 * * [simplify]: Extracting # 0 : cost 0 0.596 * * [simplify]: Extracting # 1 : cost 0 0.597 * * [simplify]: Extracting # 2 : cost 0 0.598 * * [simplify]: Extracting # 3 : cost 0 0.599 * * [simplify]: Extracting # 4 : cost 0 0.599 * * [simplify]: iteration 1 : 342 enodes (cost 1087 ) 0.776 * * [simplify]: Extracting # 0 : cost 0 0.777 * * [simplify]: Extracting # 1 : cost 0 0.778 * * [simplify]: Extracting # 2 : cost 0 0.779 * * [simplify]: Extracting # 3 : cost 0 0.779 * * [simplify]: Extracting # 4 : cost 0 0.780 * * [simplify]: iteration 2 : 880 enodes (cost 1032 ) 1.351 * * [simplify]: Extracting # 0 : cost 0 1.355 * * [simplify]: Extracting # 1 : cost 0 1.359 * * [simplify]: Extracting # 2 : cost 0 1.363 * * [simplify]: Extracting # 3 : cost 0 1.367 * * [simplify]: Extracting # 4 : cost 0 1.371 * * [simplify]: iteration 3 : 2577 enodes (cost 1023 ) 2.553 * * [simplify]: Extracting # 0 : cost 0 2.569 * * [simplify]: Extracting # 1 : cost 0 2.575 * * [simplify]: Extracting # 2 : cost 0 2.580 * * [simplify]: Extracting # 3 : cost 0 2.585 * * [simplify]: Extracting # 4 : cost 0 2.591 * * [simplify]: iteration done: 5001 enodes (cost 1019 ) 2.592 * [simplify]: Simplified to: (expm1 (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (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))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (fabs (cbrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (fabs (cbrt (- 1.0 (* x x)))) (/ (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)))) (/ (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 (/ (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)) (/ (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)))) (/ (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 (/ (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))) (/ 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)))) (* (sqrt (fma 1.0 (fma x x 1.0) (pow x 4))) x) (* (sqrt (fma x x 1.0)) x) (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (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))) (pow (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) 3) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* x (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 2) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (fma (/ 1.0 x) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (* x x)) -1)) (fma (/ 1.0 x) (/ 1.0 x) (- (+ (/ 1.0 (* x x)) -1))) (- (/ 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)))) (fma (/ -1/8 (sqrt 1.0)) (/ (pow x 3) 1.0) (fma (/ x (sqrt 1.0)) -1/2 (/ (sqrt 1.0) x))) (- (+ (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1)))) (/ (/ 0.125 (pow x 4)) (- (sqrt -1)))) (- (- (/ (/ 0.125 (pow x 4)) (- (sqrt -1))) (/ 0.5 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (fma (/ -1/8 1.0) (/ (pow x 3) (sqrt 1.0)) (fma (/ x (sqrt 1.0)) -1/2 (+ (/ 1.0 x) (/ (sqrt 1.0) x)))) (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (+ (/ 1.0 x) (sqrt -1))) (- (- (/ 1.0 x) (/ 0.5 (* (pow x 2) (sqrt -1)))) (sqrt -1)) 2.592 * * * [progress]: adding candidates to table 2.903 * * [progress]: iteration 2 / 4 2.903 * * * [progress]: picking best candidate 2.907 * * * * [pick]: Picked # 2.907 * * * [progress]: localizing error 2.932 * * * [progress]: generating rewritten candidates 2.932 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 2.963 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.991 * * * [progress]: generating series expansions 2.991 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 2.991 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (* x x))) (/ 1 x)) into (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) 2.991 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 2.991 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.991 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.991 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.991 * [taylor]: Taking taylor expansion of 1.0 in x 2.991 * [backup-simplify]: Simplify 1.0 into 1.0 2.991 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.991 * [taylor]: Taking taylor expansion of x in x 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.992 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.993 * [backup-simplify]: Simplify (+ 0 0) into 0 2.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.993 * [taylor]: Taking taylor expansion of x in x 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.993 * [backup-simplify]: Simplify (/ 1 1) into 1 2.993 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.993 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.993 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.993 * [taylor]: Taking taylor expansion of 1.0 in x 2.993 * [backup-simplify]: Simplify 1.0 into 1.0 2.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.993 * [taylor]: Taking taylor expansion of x in x 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.994 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.994 * [backup-simplify]: Simplify (+ 0 0) into 0 2.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.995 * [taylor]: Taking taylor expansion of x in x 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 1 into 1 2.995 * [backup-simplify]: Simplify (/ 1 1) into 1 2.996 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 2.996 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.997 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.998 * [backup-simplify]: Simplify (* 1 1) into 1 2.998 * [backup-simplify]: Simplify (- 1) into -1 2.998 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.000 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 3.003 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.005 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.006 * [backup-simplify]: Simplify (- 0) into 0 3.006 * [backup-simplify]: Simplify (+ 0 0) into 0 3.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 3.008 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 3.008 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.009 * [backup-simplify]: Simplify (- 0) into 0 3.009 * [backup-simplify]: Simplify (+ 0 0) into 0 3.013 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.020 * [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)))) 3.023 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.028 * [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))))) 3.028 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 (/ 1 x))) into (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) 3.028 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 3.028 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.028 * [taylor]: Taking taylor expansion of x in x 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 1 into 1 3.028 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.028 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.028 * [taylor]: Taking taylor expansion of 1.0 in x 3.029 * [backup-simplify]: Simplify 1.0 into 1.0 3.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.029 * [taylor]: Taking taylor expansion of x in x 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify 1 into 1 3.029 * [backup-simplify]: Simplify (* 1 1) into 1 3.029 * [backup-simplify]: Simplify (/ 1 1) into 1 3.030 * [backup-simplify]: Simplify (- 1) into -1 3.030 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.031 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.032 * [backup-simplify]: Simplify (- 0) into 0 3.033 * [backup-simplify]: Simplify (+ 0 0) into 0 3.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.034 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.034 * [taylor]: Taking taylor expansion of x in x 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify 1 into 1 3.034 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.034 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.034 * [taylor]: Taking taylor expansion of 1.0 in x 3.034 * [backup-simplify]: Simplify 1.0 into 1.0 3.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.034 * [taylor]: Taking taylor expansion of x in x 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify 1 into 1 3.034 * [backup-simplify]: Simplify (* 1 1) into 1 3.035 * [backup-simplify]: Simplify (/ 1 1) into 1 3.035 * [backup-simplify]: Simplify (- 1) into -1 3.036 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.036 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.038 * [backup-simplify]: Simplify (- 0) into 0 3.038 * [backup-simplify]: Simplify (+ 0 0) into 0 3.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.040 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.042 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.044 * [backup-simplify]: Simplify (- 0) into 0 3.045 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.048 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.050 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.050 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.053 * [backup-simplify]: Simplify (- 0) into 0 3.053 * [backup-simplify]: Simplify (+ 0 0) into 0 3.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 3.062 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.065 * [backup-simplify]: Simplify (- 0) into 0 3.065 * [backup-simplify]: Simplify (+ 0 0) into 0 3.072 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 3.076 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 3.076 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.079 * [backup-simplify]: Simplify (- 0) into 0 3.079 * [backup-simplify]: Simplify (+ 0 0) into 0 3.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 3.094 * [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)))) 3.098 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 3.104 * [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))))) 3.105 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (/ 1 (- x)))) into (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) 3.105 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 3.105 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 3.105 * [taylor]: Taking taylor expansion of -1 in x 3.105 * [backup-simplify]: Simplify -1 into -1 3.105 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.105 * [taylor]: Taking taylor expansion of x in x 3.105 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify 1 into 1 3.105 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.105 * [taylor]: Taking taylor expansion of 1.0 in x 3.105 * [backup-simplify]: Simplify 1.0 into 1.0 3.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.105 * [taylor]: Taking taylor expansion of x in x 3.105 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify (* 1 1) into 1 3.112 * [backup-simplify]: Simplify (/ 1 1) into 1 3.112 * [backup-simplify]: Simplify (- 1) into -1 3.113 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.113 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.115 * [backup-simplify]: Simplify (- 0) into 0 3.115 * [backup-simplify]: Simplify (+ 0 0) into 0 3.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.116 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 3.116 * [taylor]: Taking taylor expansion of -1 in x 3.116 * [backup-simplify]: Simplify -1 into -1 3.116 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.116 * [taylor]: Taking taylor expansion of x in x 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.116 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.116 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.116 * [taylor]: Taking taylor expansion of 1.0 in x 3.116 * [backup-simplify]: Simplify 1.0 into 1.0 3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.116 * [taylor]: Taking taylor expansion of x in x 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.117 * [backup-simplify]: Simplify (* 1 1) into 1 3.117 * [backup-simplify]: Simplify (/ 1 1) into 1 3.117 * [backup-simplify]: Simplify (- 1) into -1 3.118 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.118 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.120 * [backup-simplify]: Simplify (- 0) into 0 3.120 * [backup-simplify]: Simplify (+ 0 0) into 0 3.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.122 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.122 * [backup-simplify]: Simplify (* -1 0) into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.126 * [backup-simplify]: Simplify (+ (* -1 (sqrt -1)) (* 0 0)) into (- (sqrt -1)) 3.126 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.128 * [backup-simplify]: Simplify (- 0) into 0 3.128 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.130 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.131 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.131 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt -1)) (* 0 0))) into 0 3.131 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.133 * [backup-simplify]: Simplify (- 0) into 0 3.133 * [backup-simplify]: Simplify (+ 0 0) into 0 3.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 3.140 * [backup-simplify]: Simplify (+ (* -1 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 3.141 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 3.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.144 * [backup-simplify]: Simplify (- 0) into 0 3.144 * [backup-simplify]: Simplify (+ 0 0) into 0 3.150 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 3.153 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 3.155 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0))))) into 0 3.155 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.158 * [backup-simplify]: Simplify (- 0) into 0 3.158 * [backup-simplify]: Simplify (+ 0 0) into 0 3.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 3.170 * [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)))) 3.180 * [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))) 3.182 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow (sqrt -1) 3))) into (/ 0.125 (pow (sqrt -1) 3)) 3.187 * [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))) 3.188 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.188 * [backup-simplify]: Simplify (+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x))) into (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) 3.188 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 3.188 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 3.188 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 3.188 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.188 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.188 * [taylor]: Taking taylor expansion of 1.0 in x 3.188 * [backup-simplify]: Simplify 1.0 into 1.0 3.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.188 * [taylor]: Taking taylor expansion of x in x 3.189 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify 1 into 1 3.189 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.189 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.190 * [backup-simplify]: Simplify (+ 0 0) into 0 3.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.190 * [taylor]: Taking taylor expansion of x in x 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify 1 into 1 3.191 * [backup-simplify]: Simplify (/ 1 1) into 1 3.191 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 3.191 * [taylor]: Taking taylor expansion of 1.0 in x 3.191 * [backup-simplify]: Simplify 1.0 into 1.0 3.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.191 * [taylor]: Taking taylor expansion of x in x 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.191 * [backup-simplify]: Simplify (/ 1 1) into 1 3.191 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 3.191 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 3.191 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.191 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.192 * [taylor]: Taking taylor expansion of 1.0 in x 3.192 * [backup-simplify]: Simplify 1.0 into 1.0 3.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.192 * [taylor]: Taking taylor expansion of x in x 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify 1 into 1 3.192 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.192 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.193 * [backup-simplify]: Simplify (+ 0 0) into 0 3.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.193 * [taylor]: Taking taylor expansion of x in x 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 1 into 1 3.194 * [backup-simplify]: Simplify (/ 1 1) into 1 3.194 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 3.194 * [taylor]: Taking taylor expansion of 1.0 in x 3.194 * [backup-simplify]: Simplify 1.0 into 1.0 3.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.194 * [taylor]: Taking taylor expansion of x in x 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 1 into 1 3.194 * [backup-simplify]: Simplify (/ 1 1) into 1 3.195 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 3.196 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.196 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.197 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.199 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.200 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 3.201 * [backup-simplify]: Simplify (+ 0 0) into 0 3.201 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.202 * [backup-simplify]: Simplify (* 1 1) into 1 3.202 * [backup-simplify]: Simplify (- 1) into -1 3.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.205 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 3.210 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.212 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.216 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.219 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.221 * [backup-simplify]: Simplify (- 0) into 0 3.221 * [backup-simplify]: Simplify (+ 0 0) into 0 3.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 3.225 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 3.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.227 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.227 * [backup-simplify]: Simplify (+ 0 0) into 0 3.227 * [backup-simplify]: Simplify 0 into 0 3.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.229 * [backup-simplify]: Simplify (- 0) into 0 3.230 * [backup-simplify]: Simplify (+ 0 0) into 0 3.236 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.255 * [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)))) 3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.257 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.263 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.267 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.274 * [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))))) 3.275 * [backup-simplify]: Simplify (+ (/ 1.0 (/ 1 x)) (* (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 (/ 1 x)))) into (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) 3.275 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 3.275 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.275 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.275 * [taylor]: Taking taylor expansion of x in x 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify 1 into 1 3.275 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.275 * [taylor]: Taking taylor expansion of 1.0 in x 3.275 * [backup-simplify]: Simplify 1.0 into 1.0 3.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.275 * [taylor]: Taking taylor expansion of x in x 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify 1 into 1 3.276 * [backup-simplify]: Simplify (* 1 1) into 1 3.276 * [backup-simplify]: Simplify (/ 1 1) into 1 3.276 * [backup-simplify]: Simplify (- 1) into -1 3.277 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.277 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.279 * [backup-simplify]: Simplify (- 0) into 0 3.280 * [backup-simplify]: Simplify (+ 0 0) into 0 3.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.280 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.280 * [taylor]: Taking taylor expansion of 1.0 in x 3.280 * [backup-simplify]: Simplify 1.0 into 1.0 3.280 * [taylor]: Taking taylor expansion of x in x 3.280 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 1 into 1 3.281 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.281 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.281 * [taylor]: Taking taylor expansion of x in x 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 1 into 1 3.281 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.281 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.281 * [taylor]: Taking taylor expansion of 1.0 in x 3.281 * [backup-simplify]: Simplify 1.0 into 1.0 3.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.281 * [taylor]: Taking taylor expansion of x in x 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 1 into 1 3.281 * [backup-simplify]: Simplify (* 1 1) into 1 3.282 * [backup-simplify]: Simplify (/ 1 1) into 1 3.282 * [backup-simplify]: Simplify (- 1) into -1 3.283 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.283 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.285 * [backup-simplify]: Simplify (- 0) into 0 3.285 * [backup-simplify]: Simplify (+ 0 0) into 0 3.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.286 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.286 * [taylor]: Taking taylor expansion of 1.0 in x 3.286 * [backup-simplify]: Simplify 1.0 into 1.0 3.286 * [taylor]: Taking taylor expansion of x in x 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.287 * [backup-simplify]: Simplify (+ 0 0) into 0 3.287 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.289 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.290 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.290 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (- 0) into 0 3.293 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.296 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.297 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.299 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.299 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.299 * [backup-simplify]: Simplify 1.0 into 1.0 3.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.301 * [backup-simplify]: Simplify (- 0) into 0 3.302 * [backup-simplify]: Simplify (+ 0 0) into 0 3.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.308 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 3.309 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.312 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 3.313 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.315 * [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)))) 3.315 * [backup-simplify]: Simplify (+ (/ 1.0 (/ 1 (- x))) (* (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (/ 1 (- x))))) into (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) 3.315 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 3.315 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 3.315 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.315 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.316 * [taylor]: Taking taylor expansion of x in x 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.316 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.316 * [taylor]: Taking taylor expansion of 1.0 in x 3.316 * [backup-simplify]: Simplify 1.0 into 1.0 3.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.316 * [taylor]: Taking taylor expansion of x in x 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [backup-simplify]: Simplify (* 1 1) into 1 3.317 * [backup-simplify]: Simplify (/ 1 1) into 1 3.317 * [backup-simplify]: Simplify (- 1) into -1 3.317 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.318 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.319 * [backup-simplify]: Simplify (- 0) into 0 3.320 * [backup-simplify]: Simplify (+ 0 0) into 0 3.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.321 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.321 * [taylor]: Taking taylor expansion of 1.0 in x 3.321 * [backup-simplify]: Simplify 1.0 into 1.0 3.321 * [taylor]: Taking taylor expansion of x in x 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 1 into 1 3.321 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 3.321 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.321 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.321 * [taylor]: Taking taylor expansion of x in x 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 1 into 1 3.321 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.321 * [taylor]: Taking taylor expansion of 1.0 in x 3.321 * [backup-simplify]: Simplify 1.0 into 1.0 3.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.321 * [taylor]: Taking taylor expansion of x in x 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 1 into 1 3.322 * [backup-simplify]: Simplify (* 1 1) into 1 3.322 * [backup-simplify]: Simplify (/ 1 1) into 1 3.323 * [backup-simplify]: Simplify (- 1) into -1 3.323 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.323 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.325 * [backup-simplify]: Simplify (- 0) into 0 3.325 * [backup-simplify]: Simplify (+ 0 0) into 0 3.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.326 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.326 * [taylor]: Taking taylor expansion of 1.0 in x 3.326 * [backup-simplify]: Simplify 1.0 into 1.0 3.326 * [taylor]: Taking taylor expansion of x in x 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 1 into 1 3.326 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.327 * [backup-simplify]: Simplify (+ 0 0) into 0 3.327 * [backup-simplify]: Simplify (- 0) into 0 3.327 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.328 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.329 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.329 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.330 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.331 * [backup-simplify]: Simplify (- 0) into 0 3.331 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.334 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.334 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.335 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.335 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.336 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.336 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.337 * [backup-simplify]: Simplify (- 0) into 0 3.338 * [backup-simplify]: Simplify (+ 0 0) into 0 3.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 3.343 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.344 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 3.346 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 3.347 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 3.349 * [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))) 3.349 * * * [progress]: simplifying candidates 3.351 * [simplify]: Simplifying: (expm1 (* (sqrt (- 1.0 (* x x))) (/ 1 x))) (log1p (* (sqrt (- 1.0 (* x x))) (/ 1 x))) (* (sqrt (- 1.0 (* x x))) (/ 1 x)) (+ (log (sqrt (- 1.0 (* x x)))) (- (log x))) (+ (log (sqrt (- 1.0 (* x x)))) (- 0 (log x))) (+ (log (sqrt (- 1.0 (* x x)))) (- (log 1) (log x))) (+ (log (sqrt (- 1.0 (* x x)))) (log (/ 1 x))) (log (* (sqrt (- 1.0 (* x x))) (/ 1 x))) (exp (* (sqrt (- 1.0 (* x x))) (/ 1 x))) (* (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (/ (* (* 1 1) 1) (* (* x x) x))) (* (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (* (sqrt (- 1.0 (* x x))) (/ 1 x))) (cbrt (* (sqrt (- 1.0 (* x x))) (/ 1 x)))) (cbrt (* (sqrt (- 1.0 (* x x))) (/ 1 x))) (* (* (* (sqrt (- 1.0 (* x x))) (/ 1 x)) (* (sqrt (- 1.0 (* x x))) (/ 1 x))) (* (sqrt (- 1.0 (* x x))) (/ 1 x))) (sqrt (* (sqrt (- 1.0 (* x x))) (/ 1 x))) (sqrt (* (sqrt (- 1.0 (* x x))) (/ 1 x))) (* (sqrt (- (pow 1.0 3) (pow (* x x) 3))) 1) (* (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) x) (* (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) 1) (* (sqrt (+ 1.0 (* x x))) x) (* (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (/ 1 x))) (* (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (/ 1 x))) (* (sqrt (sqrt (- 1.0 (* x x)))) (/ (sqrt 1) (sqrt x))) (* (sqrt (sqrt (- 1.0 (* x x)))) (/ (sqrt 1) (sqrt x))) (* (sqrt (sqrt (- 1.0 (* x x)))) (/ 1 (sqrt x))) (* (sqrt (sqrt (- 1.0 (* x x)))) (/ 1 (sqrt x))) (* (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (/ 1 x))) (* (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (/ 1 x))) (* (sqrt (sqrt (- 1.0 (* x x)))) (/ (sqrt 1) (sqrt x))) (* (sqrt (sqrt (- 1.0 (* x x)))) (/ (sqrt 1) (sqrt x))) (* (sqrt (sqrt (- 1.0 (* x x)))) (/ 1 (sqrt x))) (* (sqrt (sqrt (- 1.0 (* x x)))) (/ 1 (sqrt x))) (* (sqrt (- 1.0 (* x x))) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (sqrt (- 1.0 (* x x))) (sqrt (/ 1 x))) (* (sqrt (- 1.0 (* x x))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* (sqrt (- 1.0 (* x x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* (sqrt (- 1.0 (* x x))) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (sqrt (- 1.0 (* x x))) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (sqrt (- 1.0 (* x x))) (/ (sqrt 1) (sqrt x))) (* (sqrt (- 1.0 (* x x))) (/ (sqrt 1) 1)) (* (sqrt (- 1.0 (* x x))) (/ 1 (* (cbrt x) (cbrt x)))) (* (sqrt (- 1.0 (* x x))) (/ 1 (sqrt x))) (* (sqrt (- 1.0 (* x x))) (/ 1 1)) (* (sqrt (- 1.0 (* x x))) 1) (* (sqrt (- 1.0 (* x x))) 1) (* (cbrt (sqrt (- 1.0 (* x x)))) (/ 1 x)) (* (sqrt (cbrt (- 1.0 (* x x)))) (/ 1 x)) (* (sqrt (sqrt (- 1.0 (* x x)))) (/ 1 x)) (* (sqrt (- 1.0 (* x x))) (/ 1 x)) (* (sqrt (- (sqrt 1.0) x)) (/ 1 x)) (* (sqrt (sqrt (- 1.0 (* x x)))) (/ 1 x)) (* (sqrt (- 1.0 (* x x))) (/ 1 x)) (* (sqrt (- 1.0 (* x x))) 1) (* (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (/ 1 x)) (* (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (/ 1 x)) (expm1 (+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x)))) (log1p (+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x)))) (* (exp (/ 1.0 x)) (exp (* (sqrt (- 1.0 (* x x))) (/ 1 x)))) (log (+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x)))) (exp (+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x)))) (* (cbrt (+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x)))) (cbrt (+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x))))) (cbrt (+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x)))) (* (* (+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x))) (+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x)))) (+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x)))) (sqrt (+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x)))) (sqrt (+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x)))) (+ (* 1.0 (* (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) x)) (* x (* (sqrt (- (pow 1.0 3) (pow (* x x) 3))) 1))) (* x (* (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) x)) (+ (* 1.0 (* (sqrt (+ 1.0 (* x x))) x)) (* x (* (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) 1))) (* x (* (sqrt (+ 1.0 (* x x))) x)) (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))) (* x x) (+ (* 1.0 x) (* x (* (sqrt (- 1.0 (* x x))) 1))) (* x x) (+ (* 1.0 (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (* (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (/ 1 x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (+ (* 1.0 (sqrt (+ 1.0 (* x x)))) (* x (* (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (/ 1 x)))) (* x (sqrt (+ 1.0 (* x x)))) (+ (pow (/ 1.0 x) 3) (pow (* (sqrt (- 1.0 (* x x))) (/ 1 x)) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (* (sqrt (- 1.0 (* x x))) (/ 1 x)) (* (sqrt (- 1.0 (* x x))) (/ 1 x))) (* (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x))))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (* (sqrt (- 1.0 (* x x))) (/ 1 x)) (* (sqrt (- 1.0 (* x x))) (/ 1 x)))) (- (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x))) (+ 1.0 (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))) 3.353 * * [simplify]: Extracting # 0 : cost 0 3.353 * * [simplify]: Extracting # 1 : cost 0 3.353 * * [simplify]: Extracting # 2 : cost 0 3.353 * * [simplify]: Extracting # 3 : cost 0 3.354 * * [simplify]: Extracting # 4 : cost 0 3.354 * * [simplify]: Extracting # 5 : cost 0 3.354 * * [simplify]: Extracting # 6 : cost 0 3.354 * * [simplify]: Extracting # 7 : cost 0 3.355 * * [simplify]: Extracting # 8 : cost 0 3.355 * * [simplify]: Extracting # 9 : cost 0 3.355 * * [simplify]: iteration 0 : 183 enodes (cost 1399 ) 3.445 * * [simplify]: Extracting # 0 : cost 0 3.446 * * [simplify]: Extracting # 1 : cost 0 3.447 * * [simplify]: Extracting # 2 : cost 0 3.448 * * [simplify]: Extracting # 3 : cost 0 3.448 * * [simplify]: Extracting # 4 : cost 0 3.449 * * [simplify]: Extracting # 5 : cost 0 3.450 * * [simplify]: iteration 1 : 471 enodes (cost 1144 ) 3.731 * * [simplify]: Extracting # 0 : cost 0 3.732 * * [simplify]: Extracting # 1 : cost 0 3.734 * * [simplify]: Extracting # 2 : cost 0 3.735 * * [simplify]: Extracting # 3 : cost 0 3.739 * * [simplify]: Extracting # 4 : cost 0 3.741 * * [simplify]: Extracting # 5 : cost 0 3.742 * * [simplify]: iteration 2 : 1317 enodes (cost 1032 ) 4.947 * * [simplify]: Extracting # 0 : cost 0 4.957 * * [simplify]: Extracting # 1 : cost 0 4.971 * * [simplify]: Extracting # 2 : cost 0 4.979 * * [simplify]: Extracting # 3 : cost 0 4.988 * * [simplify]: Extracting # 4 : cost 0 4.996 * * [simplify]: iteration 3 : 4102 enodes (cost 1013 ) 6.118 * * [simplify]: Extracting # 0 : cost 0 6.129 * * [simplify]: Extracting # 1 : cost 0 6.150 * * [simplify]: Extracting # 2 : cost 0 6.161 * * [simplify]: Extracting # 3 : cost 0 6.172 * * [simplify]: iteration done: 5000 enodes (cost 1005 ) 6.173 * [simplify]: Simplified to: (expm1 (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (/ (sqrt (- 1.0 (* x x))) x) (log (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (- (pow 1.0 3) (pow x 6))) (* x (sqrt (fma (fma x x 1.0) 1.0 (pow x 4)))) (sqrt (- (* 1.0 1.0) (pow x 4))) (* x (sqrt (fma x x 1.0))) (* (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (/ 1 x))) (* (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (/ 1 x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (* (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (/ 1 x))) (* (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (/ 1 x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (* (sqrt (- 1.0 (* x x))) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (sqrt (- 1.0 (* x x))) (sqrt (/ 1 x))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt 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))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x 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 (* x x))) (/ (sqrt (- (pow 1.0 3) (pow x 6))) x) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) x) (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (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))) (pow (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) 3) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* x (fma (sqrt (fma (fma x x 1.0) 1.0 (pow x 4))) 1.0 (sqrt (- (pow 1.0 3) (pow x 6))))) (* x (* x (sqrt (fma (fma x x 1.0) 1.0 (pow x 4))))) (* x (fma 1.0 (sqrt (fma x x 1.0)) (sqrt (- (* 1.0 1.0) (pow x 4))))) (* (sqrt (fma x x 1.0)) (* x x)) (* x (+ 1.0 (sqrt (- 1.0 (* x x))))) (* x x) (* x (+ 1.0 (sqrt (- 1.0 (* x x))))) (* x x) (fma (sqrt (fma (fma x x 1.0) 1.0 (pow x 4))) 1.0 (sqrt (- (pow 1.0 3) (pow x 6)))) (* x (sqrt (fma (fma x x 1.0) 1.0 (pow x 4)))) (fma 1.0 (sqrt (fma x x 1.0)) (sqrt (- (* 1.0 1.0) (pow x 4)))) (* x (sqrt (fma x x 1.0))) (+ (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (pow (/ 1.0 x) 3)) (fma (/ 1.0 x) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (/ (- 1.0 (* x x)) (* x x))) (fma (/ 1.0 x) (/ 1.0 x) (- (/ (/ (- 1.0 (* x x)) x) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (fma -1/2 (/ x (sqrt 1.0)) (fma -1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)) (/ (sqrt 1.0) x))) (- (+ (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1)))) (/ (/ 0.125 (pow x 4)) (- (sqrt -1)))) (- (/ (/ 0.125 (pow x 4)) (- (sqrt -1))) (+ (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1))))) (fma -1/2 (/ x (sqrt 1.0)) (fma -1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (/ 1.0 x) (/ (sqrt 1.0) x)))) (+ (+ (/ 1.0 x) (sqrt -1)) (/ 0.5 (* (pow x 2) (sqrt -1)))) (- (/ 1.0 x) (+ (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1))))) 6.174 * * * [progress]: adding candidates to table 6.582 * [progress]: [Phase 3 of 3] Extracting. 6.586 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x)))) 6.586 * * [simplify]: Extracting # 0 : cost 0 6.586 * * [simplify]: Extracting # 1 : cost 0 6.586 * * [simplify]: Extracting # 2 : cost 0 6.586 * * [simplify]: Extracting # 3 : cost 0 6.586 * * [simplify]: Extracting # 4 : cost 0 6.586 * * [simplify]: Extracting # 5 : cost 0 6.586 * * [simplify]: Extracting # 6 : cost 0 6.586 * * [simplify]: iteration 0 : 11 enodes (cost 15 ) 6.588 * * [simplify]: Extracting # 0 : cost 0 6.588 * * [simplify]: iteration 1 : 15 enodes (cost 15 ) 6.589 * * [simplify]: Extracting # 0 : cost 0 6.589 * * [simplify]: iteration done: 15 enodes (cost 15 ) 6.589 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x)))) 10.554 * [regime-testing]: Baseline error score: 0.06708150550077775 10.556 * [regime-testing]: Oracle error score: 0.06708150550077775 10.556 * [regime-testing]: End program error score: 0.06708150550077775