25.603 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.105 * * * [progress]: [2/2] Setting up program. 0.108 * [progress]: [Phase 2 of 3] Improving. 0.108 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.108 * * [simplify]: Extracting # 0 : cost 0 0.108 * * [simplify]: Extracting # 1 : cost 0 0.108 * * [simplify]: Extracting # 2 : cost 0 0.108 * * [simplify]: Extracting # 3 : cost 0 0.108 * * [simplify]: Extracting # 4 : cost 0 0.108 * * [simplify]: Extracting # 5 : cost 0 0.108 * * [simplify]: Extracting # 6 : cost 0 0.108 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.110 * * [simplify]: Extracting # 0 : cost 0 0.110 * * [simplify]: Extracting # 1 : cost 0 0.110 * * [simplify]: Extracting # 2 : cost 0 0.110 * * [simplify]: iteration 1 : 12 enodes (cost 13 ) 0.111 * * [simplify]: Extracting # 0 : cost 0 0.111 * * [simplify]: Extracting # 1 : cost 0 0.111 * * [simplify]: Extracting # 2 : cost 0 0.111 * * [simplify]: iteration 2 : 16 enodes (cost 13 ) 0.114 * * [simplify]: Extracting # 0 : cost 0 0.114 * * [simplify]: iteration 3 : 18 enodes (cost 13 ) 0.116 * * [simplify]: Extracting # 0 : cost 0 0.116 * * [simplify]: iteration done: 18 enodes (cost 13 ) 0.116 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.117 * * [progress]: iteration 1 / 4 0.117 * * * [progress]: picking best candidate 0.120 * * * * [pick]: Picked # 0.120 * * * [progress]: localizing error 0.130 * * * [progress]: generating rewritten candidates 0.130 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.143 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.201 * * * [progress]: generating series expansions 0.201 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.201 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* x x))) x) into (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) 0.201 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.201 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [backup-simplify]: Simplify 1.0 into 1.0 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.202 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.203 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [backup-simplify]: Simplify 1.0 into 1.0 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.204 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.206 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [backup-simplify]: Simplify (- 1) into -1 0.208 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.210 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.212 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.214 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.215 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.217 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [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)) 0.231 * [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)))) 0.234 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.242 * [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))))) 0.243 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) into (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.243 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.243 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [backup-simplify]: Simplify 1.0 into 1.0 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (* 1 1) into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [backup-simplify]: Simplify (- 1) into -1 0.244 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.244 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.246 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.246 * [backup-simplify]: Simplify 1.0 into 1.0 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (* 1 1) into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [backup-simplify]: Simplify (- 1) into -1 0.247 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.247 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.249 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.251 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.254 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.255 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.262 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.269 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.279 * [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)))) 0.282 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 0.285 * [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))))) 0.285 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.285 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.285 * [taylor]: Taking taylor expansion of -1 in x 0.286 * [backup-simplify]: Simplify -1 into -1 0.286 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [backup-simplify]: Simplify 1.0 into 1.0 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [backup-simplify]: Simplify (- 1) into -1 0.287 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.287 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.289 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.289 * [taylor]: Taking taylor expansion of -1 in x 0.289 * [backup-simplify]: Simplify -1 into -1 0.289 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [backup-simplify]: Simplify 1.0 into 1.0 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (- 1) into -1 0.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.290 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.292 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.293 * [backup-simplify]: Simplify (* -1 0) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.295 * [backup-simplify]: Simplify (+ (* -1 (sqrt -1)) (* 0 0)) into (- (sqrt -1)) 0.296 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.299 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.300 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt -1)) (* 0 0))) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.310 * [backup-simplify]: Simplify (+ (* -1 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.312 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.319 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.320 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0))))) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.334 * [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)))) 0.340 * [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))) 0.342 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow (sqrt -1) 3))) into (/ 0.125 (pow (sqrt -1) 3)) 0.345 * [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))) 0.345 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.345 * [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))) 0.345 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.345 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.345 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.345 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [backup-simplify]: Simplify 1.0 into 1.0 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.346 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [backup-simplify]: Simplify 1.0 into 1.0 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.347 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.347 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [backup-simplify]: Simplify 1.0 into 1.0 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.348 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [backup-simplify]: Simplify 1.0 into 1.0 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.350 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.351 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.351 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (* 1 1) into 1 0.355 * [backup-simplify]: Simplify (- 1) into -1 0.355 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.357 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.359 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.363 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.364 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.369 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [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)) 0.391 * [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)))) 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.398 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.401 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.408 * [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))))) 0.408 * [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)) 0.408 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.408 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.408 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [backup-simplify]: Simplify 1.0 into 1.0 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.409 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [backup-simplify]: Simplify (- 1) into -1 0.410 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.410 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (- 0) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.413 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [backup-simplify]: Simplify 1.0 into 1.0 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.413 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [backup-simplify]: Simplify 1.0 into 1.0 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (* 1 1) into 1 0.414 * [backup-simplify]: Simplify (/ 1 1) into 1 0.414 * [backup-simplify]: Simplify (- 1) into -1 0.415 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.415 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.418 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [backup-simplify]: Simplify 1.0 into 1.0 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.421 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.422 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.422 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.427 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.429 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.430 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.430 * [backup-simplify]: Simplify 1.0 into 1.0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- 0) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.439 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.445 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.446 * [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)))) 0.447 * [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))) 0.447 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.447 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.447 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.447 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [backup-simplify]: Simplify 1.0 into 1.0 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.448 * [backup-simplify]: Simplify (- 1) into -1 0.448 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.448 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.450 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [backup-simplify]: Simplify 1.0 into 1.0 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.450 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.450 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.450 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [backup-simplify]: Simplify 1.0 into 1.0 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (* 1 1) into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [backup-simplify]: Simplify (- 1) into -1 0.452 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.452 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (- 0) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.454 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [backup-simplify]: Simplify 1.0 into 1.0 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.457 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.457 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.458 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.458 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.462 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.463 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.464 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.464 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.464 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.471 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.472 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.474 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.475 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.478 * [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))) 0.478 * * * [progress]: simplifying candidates 0.479 * [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))) 0.481 * * [simplify]: Extracting # 0 : cost 0 0.481 * * [simplify]: Extracting # 1 : cost 0 0.481 * * [simplify]: Extracting # 2 : cost 0 0.482 * * [simplify]: Extracting # 3 : cost 0 0.482 * * [simplify]: Extracting # 4 : cost 0 0.482 * * [simplify]: Extracting # 5 : cost 0 0.482 * * [simplify]: Extracting # 6 : cost 0 0.482 * * [simplify]: Extracting # 7 : cost 0 0.483 * * [simplify]: Extracting # 8 : cost 0 0.483 * * [simplify]: iteration 0 : 156 enodes (cost 1177 ) 0.527 * * [simplify]: Extracting # 0 : cost 0 0.528 * * [simplify]: Extracting # 1 : cost 0 0.528 * * [simplify]: Extracting # 2 : cost 0 0.528 * * [simplify]: Extracting # 3 : cost 0 0.529 * * [simplify]: Extracting # 4 : cost 0 0.529 * * [simplify]: iteration 1 : 342 enodes (cost 1087 ) 0.690 * * [simplify]: Extracting # 0 : cost 0 0.691 * * [simplify]: Extracting # 1 : cost 0 0.693 * * [simplify]: Extracting # 2 : cost 0 0.694 * * [simplify]: Extracting # 3 : cost 0 0.695 * * [simplify]: Extracting # 4 : cost 0 0.697 * * [simplify]: iteration 2 : 880 enodes (cost 1032 ) 1.209 * * [simplify]: Extracting # 0 : cost 0 1.215 * * [simplify]: Extracting # 1 : cost 0 1.217 * * [simplify]: Extracting # 2 : cost 0 1.220 * * [simplify]: Extracting # 3 : cost 0 1.223 * * [simplify]: Extracting # 4 : cost 0 1.225 * * [simplify]: iteration 3 : 2577 enodes (cost 1023 ) 2.574 * * [simplify]: Extracting # 0 : cost 0 2.581 * * [simplify]: Extracting # 1 : cost 0 2.589 * * [simplify]: Extracting # 2 : cost 0 2.599 * * [simplify]: Extracting # 3 : cost 0 2.617 * * [simplify]: Extracting # 4 : cost 0 2.628 * * [simplify]: iteration done: 5001 enodes (cost 1019 ) 2.630 * [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)) 2.631 * * * [progress]: adding candidates to table 2.966 * * [progress]: iteration 2 / 4 2.966 * * * [progress]: picking best candidate 2.968 * * * * [pick]: Picked # 2.968 * * * [progress]: localizing error 2.981 * * * [progress]: generating rewritten candidates 2.981 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 3.061 * * * [progress]: generating series expansions 3.061 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 3.061 * [backup-simplify]: Simplify (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) into (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) 3.061 * [approximate]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in (x) around 0 3.062 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in x 3.062 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 3.062 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.062 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.062 * [taylor]: Taking taylor expansion of 1.0 in x 3.062 * [backup-simplify]: Simplify 1.0 into 1.0 3.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.062 * [taylor]: Taking taylor expansion of x in x 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 1 into 1 3.063 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.063 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.063 * [backup-simplify]: Simplify (+ 0 0) into 0 3.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.064 * [taylor]: Taking taylor expansion of 1.0 in x 3.064 * [backup-simplify]: Simplify 1.0 into 1.0 3.064 * [taylor]: Taking taylor expansion of x in x 3.064 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify 1 into 1 3.065 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.067 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) 1) into (+ (sqrt 1.0) 1.0) 3.067 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in x 3.067 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 3.067 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.067 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.067 * [taylor]: Taking taylor expansion of 1.0 in x 3.067 * [backup-simplify]: Simplify 1.0 into 1.0 3.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.067 * [taylor]: Taking taylor expansion of x in x 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 1 into 1 3.068 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.068 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.068 * [backup-simplify]: Simplify (+ 0 0) into 0 3.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.069 * [taylor]: Taking taylor expansion of 1.0 in x 3.069 * [backup-simplify]: Simplify 1.0 into 1.0 3.069 * [taylor]: Taking taylor expansion of x in x 3.069 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify 1 into 1 3.070 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.072 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) 1) into (+ (sqrt 1.0) 1.0) 3.072 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.073 * [backup-simplify]: Simplify (+ 0 0) into 0 3.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (sqrt 1.0) 1.0) (/ 0 1)))) into 0 3.074 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify (* 1 1) into 1 3.075 * [backup-simplify]: Simplify (- 1) into -1 3.075 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.078 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 3.080 * [backup-simplify]: Simplify (+ (/ -1/2 (sqrt 1.0)) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.087 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ 1 (sqrt 1.0)))) 1) (+ (* (+ (sqrt 1.0) 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.089 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.090 * [backup-simplify]: Simplify (- 0) into 0 3.091 * [backup-simplify]: Simplify (+ 0 0) into 0 3.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 3.093 * [backup-simplify]: Simplify (+ 0 0) into 0 3.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (sqrt 1.0) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/2 (/ 1 (sqrt 1.0)))) (/ 0 1)))) into 0 3.095 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.096 * [backup-simplify]: Simplify (- 0) into 0 3.097 * [backup-simplify]: Simplify (+ 0 0) into 0 3.110 * [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)) 3.113 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.124 * [backup-simplify]: Simplify (- (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1) (+ (* (+ (sqrt 1.0) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/2 (/ 1 (sqrt 1.0)))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.128 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.135 * [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))))) 3.136 * [backup-simplify]: Simplify (* (/ 1 (/ 1 x)) (+ 1.0 (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))))) into (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) 3.136 * [approximate]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in (x) around 0 3.136 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 3.136 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 3.136 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.136 * [taylor]: Taking taylor expansion of 1.0 in x 3.136 * [backup-simplify]: Simplify 1.0 into 1.0 3.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.136 * [taylor]: Taking taylor expansion of x in x 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify 1 into 1 3.136 * [backup-simplify]: Simplify (* 1 1) into 1 3.136 * [backup-simplify]: Simplify (/ 1 1) into 1 3.137 * [backup-simplify]: Simplify (- 1) into -1 3.137 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.137 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (- 0) into 0 3.139 * [backup-simplify]: Simplify (+ 0 0) into 0 3.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.139 * [taylor]: Taking taylor expansion of 1.0 in x 3.139 * [backup-simplify]: Simplify 1.0 into 1.0 3.139 * [taylor]: Taking taylor expansion of x in x 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 1 into 1 3.139 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 3.139 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 3.139 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.139 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.139 * [taylor]: Taking taylor expansion of 1.0 in x 3.139 * [backup-simplify]: Simplify 1.0 into 1.0 3.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.139 * [taylor]: Taking taylor expansion of x in x 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 1 into 1 3.140 * [backup-simplify]: Simplify (* 1 1) into 1 3.140 * [backup-simplify]: Simplify (/ 1 1) into 1 3.140 * [backup-simplify]: Simplify (- 1) into -1 3.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.141 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.142 * [backup-simplify]: Simplify (- 0) into 0 3.142 * [backup-simplify]: Simplify (+ 0 0) into 0 3.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.142 * [taylor]: Taking taylor expansion of 1.0 in x 3.142 * [backup-simplify]: Simplify 1.0 into 1.0 3.142 * [taylor]: Taking taylor expansion of x in x 3.142 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify 1 into 1 3.143 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.143 * [backup-simplify]: Simplify (* (sqrt -1) 0) into 0 3.143 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.145 * [backup-simplify]: Simplify (+ (* (sqrt -1) 1) (* 1.0 0)) into (sqrt -1) 3.145 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.146 * [backup-simplify]: Simplify (- 0) into 0 3.147 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.149 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.150 * [backup-simplify]: Simplify (+ (/ 0.5 (sqrt -1)) 0) into (* 0.5 (/ 1 (sqrt -1))) 3.153 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 1.0 1) (* (* 0.5 (/ 1 (sqrt -1))) 0))) into 1.0 3.153 * [backup-simplify]: Simplify 1.0 into 1.0 3.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.155 * [backup-simplify]: Simplify (- 0) into 0 3.155 * [backup-simplify]: Simplify (+ 0 0) into 0 3.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.156 * [backup-simplify]: Simplify (+ 0 0) into 0 3.162 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 1.0 0) (+ (* (* 0.5 (/ 1 (sqrt -1))) 1) (* 0 0)))) into (* 0.5 (/ 1 (sqrt -1))) 3.163 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.165 * [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)))) 3.165 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- x))) (+ 1.0 (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))))) into (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) 3.165 * [approximate]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in (x) around 0 3.165 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in x 3.165 * [taylor]: Taking taylor expansion of -1 in x 3.165 * [backup-simplify]: Simplify -1 into -1 3.165 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 3.165 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 3.165 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.165 * [taylor]: Taking taylor expansion of 1.0 in x 3.165 * [backup-simplify]: Simplify 1.0 into 1.0 3.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.165 * [taylor]: Taking taylor expansion of x in x 3.165 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify 1 into 1 3.166 * [backup-simplify]: Simplify (* 1 1) into 1 3.166 * [backup-simplify]: Simplify (/ 1 1) into 1 3.166 * [backup-simplify]: Simplify (- 1) into -1 3.166 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.167 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.168 * [backup-simplify]: Simplify (- 0) into 0 3.168 * [backup-simplify]: Simplify (+ 0 0) into 0 3.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.168 * [taylor]: Taking taylor expansion of 1.0 in x 3.168 * [backup-simplify]: Simplify 1.0 into 1.0 3.168 * [taylor]: Taking taylor expansion of x in x 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 1 into 1 3.168 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in x 3.168 * [taylor]: Taking taylor expansion of -1 in x 3.169 * [backup-simplify]: Simplify -1 into -1 3.169 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 3.169 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 3.169 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.169 * [taylor]: Taking taylor expansion of 1.0 in x 3.169 * [backup-simplify]: Simplify 1.0 into 1.0 3.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.169 * [taylor]: Taking taylor expansion of x in x 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [backup-simplify]: Simplify (* 1 1) into 1 3.169 * [backup-simplify]: Simplify (/ 1 1) into 1 3.169 * [backup-simplify]: Simplify (- 1) into -1 3.170 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.170 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.171 * [backup-simplify]: Simplify (- 0) into 0 3.171 * [backup-simplify]: Simplify (+ 0 0) into 0 3.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.172 * [taylor]: Taking taylor expansion of 1.0 in x 3.172 * [backup-simplify]: Simplify 1.0 into 1.0 3.172 * [taylor]: Taking taylor expansion of x in x 3.172 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify 1 into 1 3.173 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.173 * [backup-simplify]: Simplify (* (sqrt -1) 0) into 0 3.174 * [backup-simplify]: Simplify (* -1 0) into 0 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.177 * [backup-simplify]: Simplify (+ (* (sqrt -1) 1) (* 1.0 0)) into (sqrt -1) 3.179 * [backup-simplify]: Simplify (+ (* -1 (sqrt -1)) (* 0 0)) into (- (sqrt -1)) 3.179 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.182 * [backup-simplify]: Simplify (- 0) into 0 3.182 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.185 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.187 * [backup-simplify]: Simplify (+ (/ 0.5 (sqrt -1)) 0) into (* 0.5 (/ 1 (sqrt -1))) 3.192 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 1.0 1) (* (* 0.5 (/ 1 (sqrt -1))) 0))) into 1.0 3.195 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 (sqrt -1)) (* 0 0))) into (- 1.0) 3.195 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (- 0) into 0 3.198 * [backup-simplify]: Simplify (+ 0 0) into 0 3.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.200 * [backup-simplify]: Simplify (+ 0 0) into 0 3.210 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 1.0 0) (+ (* (* 0.5 (/ 1 (sqrt -1))) 1) (* 0 0)))) into (* 0.5 (/ 1 (sqrt -1))) 3.215 * [backup-simplify]: Simplify (+ (* -1 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 1.0) (+ (* 0 (sqrt -1)) (* 0 0)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 3.218 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 3.222 * [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))) 3.222 * * * [progress]: simplifying candidates 3.224 * [simplify]: Simplifying: (expm1 (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (log1p (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ (- (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (+ (- 0 (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (+ (- (log 1) (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (exp (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (+ 1.0 (sqrt (- 1.0 (* x x)))) (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (+ 1.0 (sqrt (- 1.0 (* x x)))) (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (cbrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (cbrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (cbrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (* (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (sqrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (sqrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* 1 (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3))) (* x (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x))))))) (* 1 (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))))) (* x (- 1.0 (sqrt (- 1.0 (* x x))))) (* (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ (sqrt 1) (sqrt x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ (sqrt 1) (sqrt x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 (sqrt x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 (sqrt x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 x) 1.0) (* (/ 1 x) (sqrt (- 1.0 (* x x)))) (* 1.0 (/ 1 x)) (* (sqrt (- 1.0 (* x x))) (/ 1 x)) (* (/ 1 x) (* (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))))) (* (/ 1 x) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 x) 1) (* (/ 1 x) 1) (* (cbrt (/ 1 x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (sqrt (/ 1 x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (cbrt 1) (cbrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (cbrt 1) (sqrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (cbrt 1) x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (sqrt 1) (cbrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (sqrt 1) (sqrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (sqrt 1) x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 (cbrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 (sqrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3))) (* (/ 1 x) (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))))) (* 1 (+ 1.0 (sqrt (- 1.0 (* x x))))) (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (* 0.5 (/ 1 (* (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))) 3.226 * * [simplify]: Extracting # 0 : cost 0 3.226 * * [simplify]: Extracting # 1 : cost 0 3.227 * * [simplify]: Extracting # 2 : cost 0 3.227 * * [simplify]: Extracting # 3 : cost 0 3.227 * * [simplify]: Extracting # 4 : cost 0 3.228 * * [simplify]: Extracting # 5 : cost 0 3.228 * * [simplify]: Extracting # 6 : cost 0 3.228 * * [simplify]: Extracting # 7 : cost 0 3.229 * * [simplify]: Extracting # 8 : cost 0 3.229 * * [simplify]: Extracting # 9 : cost 0 3.229 * * [simplify]: Extracting # 10 : cost 0 3.230 * * [simplify]: Extracting # 11 : cost 0 3.230 * * [simplify]: iteration 0 : 120 enodes (cost 816 ) 3.280 * * [simplify]: Extracting # 0 : cost 0 3.281 * * [simplify]: Extracting # 1 : cost 0 3.282 * * [simplify]: Extracting # 2 : cost 0 3.283 * * [simplify]: Extracting # 3 : cost 0 3.284 * * [simplify]: Extracting # 4 : cost 0 3.284 * * [simplify]: iteration 1 : 378 enodes (cost 698 ) 3.509 * * [simplify]: Extracting # 0 : cost 0 3.510 * * [simplify]: Extracting # 1 : cost 0 3.511 * * [simplify]: Extracting # 2 : cost 0 3.513 * * [simplify]: Extracting # 3 : cost 0 3.516 * * [simplify]: Extracting # 4 : cost 0 3.518 * * [simplify]: iteration 2 : 1111 enodes (cost 606 ) 4.830 * * [simplify]: Extracting # 0 : cost 0 4.838 * * [simplify]: Extracting # 1 : cost 0 4.844 * * [simplify]: Extracting # 2 : cost 0 4.849 * * [simplify]: Extracting # 3 : cost 0 4.854 * * [simplify]: Extracting # 4 : cost 0 4.865 * * [simplify]: iteration 3 : 3390 enodes (cost 605 ) 5.866 * * [simplify]: Extracting # 0 : cost 0 5.876 * * [simplify]: Extracting # 1 : cost 0 5.882 * * [simplify]: Extracting # 2 : cost 0 5.891 * * [simplify]: iteration done: 5000 enodes (cost 601 ) 5.892 * [simplify]: Simplified to: (expm1 (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (log1p (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (exp (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (pow (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) 3) (pow (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) 3) (* (cbrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (cbrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))) (cbrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (pow (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) 3) (sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) (* (- 1.0 (fma x x (* 1.0 (- (sqrt (- 1.0 (* x x))) 1.0)))) x) (fma 1.0 1.0 (fma x x (- 1.0))) (* x (- 1.0 (sqrt (- 1.0 (* x x))))) (* (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (+ 1.0 (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) (/ (* (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) x) (/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) x) (/ 1 x) (/ 1 x) (* (cbrt (/ 1 x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (sqrt (/ 1 x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (/ (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) x) (/ (fma 1.0 1.0 (fma x x (- 1.0))) 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) (/ 1.0 x)))) (+ (sqrt -1) (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (/ 1.0 x))) (- (- (/ 1.0 x) (/ 0.5 (* (pow x 2) (sqrt -1)))) (sqrt -1)) 5.892 * * * [progress]: adding candidates to table 6.084 * [progress]: [Phase 3 of 3] Extracting. 6.088 * [simplify]: Simplifying: (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) 6.088 * * [simplify]: Extracting # 0 : cost 0 6.088 * * [simplify]: Extracting # 1 : cost 0 6.088 * * [simplify]: Extracting # 2 : cost 0 6.088 * * [simplify]: Extracting # 3 : cost 0 6.088 * * [simplify]: Extracting # 4 : cost 0 6.088 * * [simplify]: Extracting # 5 : cost 0 6.089 * * [simplify]: Extracting # 6 : cost 0 6.089 * * [simplify]: iteration 0 : 10 enodes (cost 13 ) 6.090 * * [simplify]: Extracting # 0 : cost 0 6.090 * * [simplify]: iteration 1 : 14 enodes (cost 13 ) 6.091 * * [simplify]: Extracting # 0 : cost 0 6.091 * * [simplify]: iteration done: 14 enodes (cost 13 ) 6.091 * [simplify]: Simplified to: (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) 10.403 * [regime-testing]: Baseline error score: 0.0664564273660109 10.409 * [regime-testing]: Oracle error score: 0.0664564273660109 10.410 * [regime-testing]: End program error score: 0.0664564273660109