1.453 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.096 * * * [progress]: [2/2] Setting up program. 0.100 * [progress]: [Phase 2 of 3] Improving. 0.102 * [simplify]: Simplifying: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.103 * * [simplify]: Extracting # 0 : cost 0 0.103 * * [simplify]: Extracting # 1 : cost 0 0.104 * * [simplify]: Extracting # 2 : cost 0 0.104 * * [simplify]: Extracting # 3 : cost 0 0.104 * * [simplify]: Extracting # 4 : cost 0 0.104 * * [simplify]: Extracting # 5 : cost 0 0.104 * * [simplify]: Extracting # 6 : cost 0 0.104 * * [simplify]: Extracting # 7 : cost 0 0.104 * * [simplify]: iteration 0 : 9 enodes (cost 11 ) 0.109 * * [simplify]: Extracting # 0 : cost 0 0.109 * * [simplify]: Extracting # 1 : cost 0 0.109 * * [simplify]: Extracting # 2 : cost 0 0.109 * * [simplify]: iteration 1 : 16 enodes (cost 11 ) 0.112 * * [simplify]: Extracting # 0 : cost 0 0.112 * * [simplify]: Extracting # 1 : cost 0 0.112 * * [simplify]: Extracting # 2 : cost 0 0.112 * * [simplify]: iteration 2 : 19 enodes (cost 11 ) 0.115 * * [simplify]: Extracting # 0 : cost 0 0.115 * * [simplify]: iteration 3 : 21 enodes (cost 11 ) 0.119 * * [simplify]: Extracting # 0 : cost 0 0.119 * * [simplify]: iteration done: 21 enodes (cost 11 ) 0.156 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.158 * * [progress]: iteration 1 / 4 0.158 * * * [progress]: picking best candidate 0.160 * * * * [pick]: Picked # 0.160 * * * [progress]: localizing error 0.175 * * * [progress]: generating rewritten candidates 0.175 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.197 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 0.222 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.229 * * * [progress]: generating series expansions 0.237 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.242 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 x) (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 0.242 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.243 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.243 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.243 * [taylor]: Taking taylor expansion of (- 1.0 x) 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 x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.244 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [backup-simplify]: Simplify 1.0 into 1.0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.245 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.246 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.246 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.247 * [backup-simplify]: Simplify (- 1) into -1 0.247 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.247 * [backup-simplify]: Simplify (+ 1 0) into 1 0.249 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.250 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.250 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.250 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.250 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [backup-simplify]: Simplify 1.0 into 1.0 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [backup-simplify]: Simplify 1.0 into 1.0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.251 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.252 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.252 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.252 * [backup-simplify]: Simplify (- 1) into -1 0.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.253 * [backup-simplify]: Simplify (+ 1 0) into 1 0.255 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.256 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.257 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.258 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.268 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 0.276 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 0.286 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 0.287 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 0.287 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.287 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.287 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [backup-simplify]: Simplify 1.0 into 1.0 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [backup-simplify]: Simplify 1.0 into 1.0 0.289 * [backup-simplify]: Simplify (- 1) into -1 0.289 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.290 * [backup-simplify]: Simplify (+ 1 0) into 1 0.290 * [backup-simplify]: Simplify (/ -1 1) into -1 0.290 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.294 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.295 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.295 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.295 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.295 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [backup-simplify]: Simplify 1.0 into 1.0 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.296 * [backup-simplify]: Simplify 1.0 into 1.0 0.296 * [backup-simplify]: Simplify (- 1) into -1 0.296 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.297 * [backup-simplify]: Simplify (+ 1 0) into 1 0.297 * [backup-simplify]: Simplify (/ -1 1) into -1 0.297 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.300 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.301 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.302 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.302 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.310 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.314 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.319 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 0.320 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 0.320 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.320 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.320 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [backup-simplify]: Simplify 1.0 into 1.0 0.320 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [backup-simplify]: Simplify 1.0 into 1.0 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.321 * [backup-simplify]: Simplify (- 1) into -1 0.321 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.321 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.322 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.325 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.326 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.326 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.326 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [backup-simplify]: Simplify 1.0 into 1.0 0.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [backup-simplify]: Simplify 1.0 into 1.0 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [backup-simplify]: Simplify (+ 1 0) into 1 0.328 * [backup-simplify]: Simplify (- 1) into -1 0.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.329 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.329 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.333 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.334 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.334 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.335 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.385 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.398 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.411 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 0.411 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 0.411 * [backup-simplify]: Simplify (/ (- 1.0 x) (+ 1.0 x)) into (/ (- 1.0 x) (+ x 1.0)) 0.411 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.411 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.411 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [backup-simplify]: Simplify 1.0 into 1.0 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [backup-simplify]: Simplify 1.0 into 1.0 0.412 * [backup-simplify]: Simplify (- 0) into 0 0.413 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.413 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.414 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.414 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.414 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [backup-simplify]: Simplify 1.0 into 1.0 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [backup-simplify]: Simplify 1.0 into 1.0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.416 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.416 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.416 * [backup-simplify]: Simplify 1.0 into 1.0 0.417 * [backup-simplify]: Simplify (- 1) into -1 0.417 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.418 * [backup-simplify]: Simplify (+ 1 0) into 1 0.455 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.456 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.467 * [backup-simplify]: Simplify 2.0 into 2.0 0.468 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 0.469 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.469 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.469 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [backup-simplify]: Simplify 1.0 into 1.0 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [backup-simplify]: Simplify 1.0 into 1.0 0.472 * [backup-simplify]: Simplify (- 1) into -1 0.473 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.473 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (/ -1 1) into -1 0.474 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [backup-simplify]: Simplify 1.0 into 1.0 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [backup-simplify]: Simplify 1.0 into 1.0 0.477 * [backup-simplify]: Simplify (- 1) into -1 0.477 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.478 * [backup-simplify]: Simplify (+ 1 0) into 1 0.479 * [backup-simplify]: Simplify (/ -1 1) into -1 0.479 * [backup-simplify]: Simplify -1 into -1 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.488 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.488 * [backup-simplify]: Simplify 2.0 into 2.0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (- 0) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.532 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.533 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.533 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 0.533 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.533 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (/ 1 1) into 1 0.533 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * [backup-simplify]: Simplify 1.0 into 1.0 0.533 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.534 * [taylor]: Taking taylor expansion of 1.0 in x 0.534 * [backup-simplify]: Simplify 1.0 into 1.0 0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (/ 1 1) into 1 0.534 * [backup-simplify]: Simplify (+ 1 0) into 1 0.535 * [backup-simplify]: Simplify (- 1) into -1 0.535 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.535 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.535 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify (/ 1 1) into 1 0.536 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * [backup-simplify]: Simplify 1.0 into 1.0 0.536 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.536 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * [backup-simplify]: Simplify 1.0 into 1.0 0.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [backup-simplify]: Simplify (+ 1 0) into 1 0.537 * [backup-simplify]: Simplify (- 1) into -1 0.538 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.538 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.538 * [backup-simplify]: Simplify -1 into -1 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (- 0) into 0 0.541 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.543 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.544 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (- 0) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.551 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.552 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.552 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.552 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.553 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.553 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.555 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.555 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.555 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.555 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.556 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.556 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.556 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.556 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 0.556 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.557 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 0.557 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.558 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.558 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.558 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.558 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.558 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.558 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.558 * [backup-simplify]: Simplify (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.559 * * * [progress]: simplifying candidates 0.563 * [simplify]: Simplifying: (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.566 * * [simplify]: Extracting # 0 : cost 0 0.566 * * [simplify]: Extracting # 1 : cost 0 0.566 * * [simplify]: Extracting # 2 : cost 0 0.566 * * [simplify]: Extracting # 3 : cost 0 0.567 * * [simplify]: Extracting # 4 : cost 0 0.567 * * [simplify]: Extracting # 5 : cost 0 0.567 * * [simplify]: Extracting # 6 : cost 0 0.567 * * [simplify]: Extracting # 7 : cost 0 0.568 * * [simplify]: Extracting # 8 : cost 0 0.568 * * [simplify]: Extracting # 9 : cost 0 0.568 * * [simplify]: iteration 0 : 173 enodes (cost 1505 ) 0.647 * * [simplify]: Extracting # 0 : cost 0 0.649 * * [simplify]: Extracting # 1 : cost 0 0.650 * * [simplify]: Extracting # 2 : cost 0 0.651 * * [simplify]: Extracting # 3 : cost 0 0.652 * * [simplify]: Extracting # 4 : cost 0 0.653 * * [simplify]: iteration 1 : 372 enodes (cost 1422 ) 0.838 * * [simplify]: Extracting # 0 : cost 0 0.839 * * [simplify]: Extracting # 1 : cost 0 0.841 * * [simplify]: Extracting # 2 : cost 0 0.842 * * [simplify]: Extracting # 3 : cost 0 0.843 * * [simplify]: Extracting # 4 : cost 0 0.844 * * [simplify]: iteration 2 : 914 enodes (cost 1333 ) 1.416 * * [simplify]: Extracting # 0 : cost 0 1.421 * * [simplify]: Extracting # 1 : cost 0 1.426 * * [simplify]: Extracting # 2 : cost 0 1.432 * * [simplify]: Extracting # 3 : cost 0 1.436 * * [simplify]: Extracting # 4 : cost 0 1.441 * * [simplify]: iteration 3 : 2329 enodes (cost 1320 ) 2.698 * * [simplify]: Extracting # 0 : cost 0 2.711 * * [simplify]: Extracting # 1 : cost 0 2.723 * * [simplify]: Extracting # 2 : cost 0 2.734 * * [simplify]: Extracting # 3 : cost 0 2.747 * * [simplify]: Extracting # 4 : cost 0 2.758 * * [simplify]: iteration done: 5001 enodes (cost 1300 ) 2.760 * [simplify]: Simplified to: (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (fabs (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (fma 1.0 1.0 (* x (- x 1.0)))) (sqrt (/ 1 (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- x 1.0) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (- 1.0 x) (- 1.0 x) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ 1 (+ 1.0 x)) (* (+ x 1.0) (fma 1.0 1.0 (* x (+ 1.0 x)))) (* (+ x 1.0) (+ x 1.0)) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (fma (/ x (sqrt 1.0)) (- 1.0) (fma (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0)) (sqrt 1.0))) (- (+ (/ 1.0 (* x (sqrt -1))) (sqrt -1)) (* (/ 1 (* (pow x 2) (sqrt -1))) (+ (/ 0.5 -1) 1.0))) (- (+ (/ 1.0 (* x (sqrt -1))) (sqrt -1)) (* (/ 1 (* (pow x 2) (sqrt -1))) (+ (/ 0.5 -1) 1.0))) (fma x (- (* 2.0 x) 2.0) 1.0) (fma (/ 1 x) (- 2.0 (/ 2.0 x)) -1) (fma (/ 1 x) (- 2.0 (/ 2.0 x)) -1) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2.762 * * * [progress]: adding candidates to table 3.083 * * [progress]: iteration 2 / 4 3.083 * * * [progress]: picking best candidate 3.085 * * * * [pick]: Picked # 3.085 * * * [progress]: localizing error 3.102 * * * [progress]: generating rewritten candidates 3.102 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 3.125 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 3.151 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.151 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.156 * * * [progress]: generating series expansions 3.156 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 3.156 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 x) (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 3.156 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 3.156 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 3.156 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 3.156 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.156 * [taylor]: Taking taylor expansion of 1.0 in x 3.156 * [backup-simplify]: Simplify 1.0 into 1.0 3.156 * [taylor]: Taking taylor expansion of x in x 3.156 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.157 * [taylor]: Taking taylor expansion of x in x 3.157 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [taylor]: Taking taylor expansion of 1.0 in x 3.157 * [backup-simplify]: Simplify 1.0 into 1.0 3.157 * [backup-simplify]: Simplify (- 0) into 0 3.157 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.158 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.158 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.158 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.158 * [backup-simplify]: Simplify (- 1) into -1 3.159 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.159 * [backup-simplify]: Simplify (+ 1 0) into 1 3.161 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 3.162 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 3.162 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 3.162 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 3.162 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.162 * [taylor]: Taking taylor expansion of 1.0 in x 3.162 * [backup-simplify]: Simplify 1.0 into 1.0 3.162 * [taylor]: Taking taylor expansion of x in x 3.162 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify 1 into 1 3.162 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.162 * [taylor]: Taking taylor expansion of x in x 3.162 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify 1 into 1 3.162 * [taylor]: Taking taylor expansion of 1.0 in x 3.162 * [backup-simplify]: Simplify 1.0 into 1.0 3.162 * [backup-simplify]: Simplify (- 0) into 0 3.163 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.163 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.163 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.163 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.164 * [backup-simplify]: Simplify (- 1) into -1 3.164 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.164 * [backup-simplify]: Simplify (+ 1 0) into 1 3.166 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 3.167 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 3.167 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.168 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 3.168 * [backup-simplify]: Simplify (- 0) into 0 3.168 * [backup-simplify]: Simplify (+ 0 0) into 0 3.169 * [backup-simplify]: Simplify (+ 0 0) into 0 3.171 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 3.174 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 3.178 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 3.183 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 3.183 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 3.183 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 3.184 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 3.184 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.184 * [taylor]: Taking taylor expansion of 1.0 in x 3.184 * [backup-simplify]: Simplify 1.0 into 1.0 3.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.184 * [taylor]: Taking taylor expansion of x in x 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify (/ 1 1) into 1 3.184 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.184 * [taylor]: Taking taylor expansion of x in x 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify (/ 1 1) into 1 3.184 * [taylor]: Taking taylor expansion of 1.0 in x 3.184 * [backup-simplify]: Simplify 1.0 into 1.0 3.185 * [backup-simplify]: Simplify (- 1) into -1 3.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.185 * [backup-simplify]: Simplify (+ 1 0) into 1 3.185 * [backup-simplify]: Simplify (/ -1 1) into -1 3.186 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.186 * [backup-simplify]: Simplify (- 0) into 0 3.186 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.189 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 3.190 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 3.190 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 3.190 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.190 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.190 * [taylor]: Taking taylor expansion of 1.0 in x 3.190 * [backup-simplify]: Simplify 1.0 into 1.0 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 3.190 * [backup-simplify]: Simplify (/ 1 1) into 1 3.190 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 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 3.190 * [backup-simplify]: Simplify (/ 1 1) into 1 3.190 * [taylor]: Taking taylor expansion of 1.0 in x 3.190 * [backup-simplify]: Simplify 1.0 into 1.0 3.191 * [backup-simplify]: Simplify (- 1) into -1 3.191 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.191 * [backup-simplify]: Simplify (+ 1 0) into 1 3.191 * [backup-simplify]: Simplify (/ -1 1) into -1 3.192 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.192 * [backup-simplify]: Simplify (- 0) into 0 3.193 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.193 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.195 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 3.196 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 3.196 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.197 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (- 0) into 0 3.198 * [backup-simplify]: Simplify (+ 0 0) into 0 3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.199 * [backup-simplify]: Simplify (+ 0 0) into 0 3.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 3.214 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.221 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.230 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 3.230 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 3.230 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 3.230 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 3.230 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.230 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.230 * [taylor]: Taking taylor expansion of x in x 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.231 * [backup-simplify]: Simplify (/ 1 1) into 1 3.231 * [taylor]: Taking taylor expansion of 1.0 in x 3.231 * [backup-simplify]: Simplify 1.0 into 1.0 3.231 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.231 * [taylor]: Taking taylor expansion of 1.0 in x 3.231 * [backup-simplify]: Simplify 1.0 into 1.0 3.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.231 * [taylor]: Taking taylor expansion of x in x 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify 1 into 1 3.231 * [backup-simplify]: Simplify (/ 1 1) into 1 3.232 * [backup-simplify]: Simplify (+ 1 0) into 1 3.232 * [backup-simplify]: Simplify (- 1) into -1 3.232 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.233 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.233 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.235 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.236 * [backup-simplify]: Simplify (- 0) into 0 3.237 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.239 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.241 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 3.242 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 3.242 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.242 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.242 * [taylor]: Taking taylor expansion of x in x 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [backup-simplify]: Simplify (/ 1 1) into 1 3.242 * [taylor]: Taking taylor expansion of 1.0 in x 3.242 * [backup-simplify]: Simplify 1.0 into 1.0 3.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.242 * [taylor]: Taking taylor expansion of 1.0 in x 3.242 * [backup-simplify]: Simplify 1.0 into 1.0 3.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.242 * [taylor]: Taking taylor expansion of x in x 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.243 * [backup-simplify]: Simplify (/ 1 1) into 1 3.243 * [backup-simplify]: Simplify (+ 1 0) into 1 3.243 * [backup-simplify]: Simplify (- 1) into -1 3.244 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.244 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.245 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.246 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.247 * [backup-simplify]: Simplify (- 0) into 0 3.247 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.250 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.252 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 3.252 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.253 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (+ 0 0) into 0 3.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.256 * [backup-simplify]: Simplify (- 0) into 0 3.256 * [backup-simplify]: Simplify (+ 0 0) into 0 3.260 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 3.266 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.273 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.283 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 3.283 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 3.284 * [backup-simplify]: Simplify (/ (- 1.0 x) (+ 1.0 x)) into (/ (- 1.0 x) (+ x 1.0)) 3.284 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 3.284 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 3.284 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.284 * [taylor]: Taking taylor expansion of 1.0 in x 3.284 * [backup-simplify]: Simplify 1.0 into 1.0 3.284 * [taylor]: Taking taylor expansion of x in x 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 1 into 1 3.284 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.284 * [taylor]: Taking taylor expansion of x in x 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 1 into 1 3.284 * [taylor]: Taking taylor expansion of 1.0 in x 3.284 * [backup-simplify]: Simplify 1.0 into 1.0 3.284 * [backup-simplify]: Simplify (- 0) into 0 3.285 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.285 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.286 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.286 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 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 3.286 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 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 3.286 * [taylor]: Taking taylor expansion of 1.0 in x 3.286 * [backup-simplify]: Simplify 1.0 into 1.0 3.286 * [backup-simplify]: Simplify (- 0) into 0 3.287 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.288 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.288 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.288 * [backup-simplify]: Simplify 1.0 into 1.0 3.289 * [backup-simplify]: Simplify (- 1) into -1 3.289 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.289 * [backup-simplify]: Simplify (+ 1 0) into 1 3.292 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 3.292 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 3.293 * [backup-simplify]: Simplify (- 0) into 0 3.293 * [backup-simplify]: Simplify (+ 0 0) into 0 3.294 * [backup-simplify]: Simplify (+ 0 0) into 0 3.299 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 3.299 * [backup-simplify]: Simplify 2.0 into 2.0 3.300 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 3.300 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 3.300 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 3.300 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.300 * [taylor]: Taking taylor expansion of 1.0 in x 3.300 * [backup-simplify]: Simplify 1.0 into 1.0 3.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.301 * [taylor]: Taking taylor expansion of x in x 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify 1 into 1 3.301 * [backup-simplify]: Simplify (/ 1 1) into 1 3.301 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.301 * [taylor]: Taking taylor expansion of x in x 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify 1 into 1 3.301 * [backup-simplify]: Simplify (/ 1 1) into 1 3.301 * [taylor]: Taking taylor expansion of 1.0 in x 3.302 * [backup-simplify]: Simplify 1.0 into 1.0 3.302 * [backup-simplify]: Simplify (- 1) into -1 3.302 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.303 * [backup-simplify]: Simplify (+ 1 0) into 1 3.303 * [backup-simplify]: Simplify (/ -1 1) into -1 3.303 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.303 * [taylor]: Taking taylor expansion of 1.0 in x 3.303 * [backup-simplify]: Simplify 1.0 into 1.0 3.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.303 * [taylor]: Taking taylor expansion of x in x 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 1 into 1 3.304 * [backup-simplify]: Simplify (/ 1 1) into 1 3.304 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.304 * [taylor]: Taking taylor expansion of x in x 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 1 into 1 3.304 * [backup-simplify]: Simplify (/ 1 1) into 1 3.304 * [taylor]: Taking taylor expansion of 1.0 in x 3.304 * [backup-simplify]: Simplify 1.0 into 1.0 3.305 * [backup-simplify]: Simplify (- 1) into -1 3.305 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.306 * [backup-simplify]: Simplify (+ 1 0) into 1 3.306 * [backup-simplify]: Simplify (/ -1 1) into -1 3.306 * [backup-simplify]: Simplify -1 into -1 3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify (- 0) into 0 3.308 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.309 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.312 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 3.312 * [backup-simplify]: Simplify 2.0 into 2.0 3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.313 * [backup-simplify]: Simplify (- 0) into 0 3.314 * [backup-simplify]: Simplify (+ 0 0) into 0 3.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.315 * [backup-simplify]: Simplify (+ 0 0) into 0 3.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 3.320 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 3.320 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 3.321 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 3.321 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 3.321 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.321 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.321 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (- 1.0 (/ 1 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 (/ 1 x) in x 3.321 * [taylor]: Taking taylor expansion of x in x 3.322 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify 1 into 1 3.322 * [backup-simplify]: Simplify (/ 1 1) into 1 3.322 * [backup-simplify]: Simplify (+ 1 0) into 1 3.323 * [backup-simplify]: Simplify (- 1) into -1 3.323 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.324 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.324 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.324 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.324 * [taylor]: Taking taylor expansion of x in x 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 1 into 1 3.324 * [backup-simplify]: Simplify (/ 1 1) into 1 3.324 * [taylor]: Taking taylor expansion of 1.0 in x 3.324 * [backup-simplify]: Simplify 1.0 into 1.0 3.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.324 * [taylor]: Taking taylor expansion of 1.0 in x 3.324 * [backup-simplify]: Simplify 1.0 into 1.0 3.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.324 * [taylor]: Taking taylor expansion of x in x 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 1 into 1 3.325 * [backup-simplify]: Simplify (/ 1 1) into 1 3.325 * [backup-simplify]: Simplify (+ 1 0) into 1 3.325 * [backup-simplify]: Simplify (- 1) into -1 3.326 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.326 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.326 * [backup-simplify]: Simplify -1 into -1 3.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.328 * [backup-simplify]: Simplify (- 0) into 0 3.328 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.330 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.330 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.331 * [backup-simplify]: Simplify (+ 0 0) 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 (+ 0 0) into 0 3.334 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 3.334 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 3.335 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 3.335 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.335 * [backup-simplify]: Simplify (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) into (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3.335 * [approximate]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) in (x) around 0 3.335 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 3.336 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1) 3.336 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 3.336 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 3.336 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3.336 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 3.336 * [taylor]: Taking taylor expansion of 1 in x 3.336 * [backup-simplify]: Simplify 1 into 1 3.336 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 3.336 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 3.336 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.336 * [taylor]: Taking taylor expansion of 1.0 in x 3.336 * [backup-simplify]: Simplify 1.0 into 1.0 3.336 * [taylor]: Taking taylor expansion of x in x 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify 1 into 1 3.336 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.336 * [taylor]: Taking taylor expansion of x in x 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify 1 into 1 3.336 * [taylor]: Taking taylor expansion of 1.0 in x 3.336 * [backup-simplify]: Simplify 1.0 into 1.0 3.336 * [backup-simplify]: Simplify (- 0) into 0 3.337 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.337 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.337 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.337 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.338 * [backup-simplify]: Simplify (- 1) into -1 3.338 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.343 * [backup-simplify]: Simplify (+ 1 0) into 1 3.346 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 3.347 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 3.348 * [backup-simplify]: Simplify (+ 1 (sqrt 1.0)) into (+ (sqrt 1.0) 1) 3.349 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1)) into (log (+ (sqrt 1.0) 1)) 3.351 * [backup-simplify]: Simplify (exp (log (+ (sqrt 1.0) 1))) into (+ (sqrt 1.0) 1) 3.351 * [taylor]: Taking taylor expansion of 1 in x 3.351 * [backup-simplify]: Simplify 1 into 1 3.351 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 3.351 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1) 3.351 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 3.351 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 3.351 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3.351 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 3.351 * [taylor]: Taking taylor expansion of 1 in x 3.351 * [backup-simplify]: Simplify 1 into 1 3.351 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 3.351 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 3.351 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.351 * [taylor]: Taking taylor expansion of 1.0 in x 3.351 * [backup-simplify]: Simplify 1.0 into 1.0 3.351 * [taylor]: Taking taylor expansion of x in x 3.351 * [backup-simplify]: Simplify 0 into 0 3.352 * [backup-simplify]: Simplify 1 into 1 3.352 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.352 * [taylor]: Taking taylor expansion of x in x 3.352 * [backup-simplify]: Simplify 0 into 0 3.352 * [backup-simplify]: Simplify 1 into 1 3.352 * [taylor]: Taking taylor expansion of 1.0 in x 3.352 * [backup-simplify]: Simplify 1.0 into 1.0 3.352 * [backup-simplify]: Simplify (- 0) into 0 3.352 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.353 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.353 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.353 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.353 * [backup-simplify]: Simplify (- 1) into -1 3.354 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.354 * [backup-simplify]: Simplify (+ 1 0) into 1 3.356 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 3.357 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 3.358 * [backup-simplify]: Simplify (+ 1 (sqrt 1.0)) into (+ (sqrt 1.0) 1) 3.359 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1)) into (log (+ (sqrt 1.0) 1)) 3.360 * [backup-simplify]: Simplify (exp (log (+ (sqrt 1.0) 1))) into (+ (sqrt 1.0) 1) 3.360 * [taylor]: Taking taylor expansion of 1 in x 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [backup-simplify]: Simplify (- 1) into -1 3.361 * [backup-simplify]: Simplify (+ (+ (sqrt 1.0) 1) -1) into (sqrt 1.0) 3.361 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.363 * [backup-simplify]: Simplify (+ 0 (/ -1.0 (sqrt 1.0))) into (- (* 1.0 (/ 1 (sqrt 1.0)))) 3.371 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1.0 (/ 1 (sqrt 1.0))))) 1)) (pow (+ (sqrt 1.0) 1) 1)))) 1) into (/ -1.0 (* (+ (sqrt 1.0) 1) (sqrt 1.0))) 3.378 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt 1.0) 1))) (+ (* (/ (pow (/ -1.0 (* (+ (sqrt 1.0) 1) (sqrt 1.0))) 1) 1)))) into (/ -1.0 (sqrt 1.0)) 3.379 * [backup-simplify]: Simplify (- 0) into 0 3.380 * [backup-simplify]: Simplify (+ (/ -1.0 (sqrt 1.0)) 0) into (- (* 1.0 (/ 1 (sqrt 1.0)))) 3.381 * [backup-simplify]: Simplify (- (* 1.0 (/ 1 (sqrt 1.0)))) into (- (* 1.0 (/ 1 (sqrt 1.0)))) 3.382 * [backup-simplify]: Simplify (- 0) into 0 3.382 * [backup-simplify]: Simplify (+ 0 0) into 0 3.382 * [backup-simplify]: Simplify (+ 0 0) into 0 3.387 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 3.393 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 3.403 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0)))) into (- (* 1.0 (/ 1 (sqrt 1.0))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 3.448 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1.0 (/ 1 (sqrt 1.0))))) 2)) (pow (+ (sqrt 1.0) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1.0 (/ 1 (sqrt 1.0))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 1)) (pow (+ (sqrt 1.0) 1) 1)))) 2) into (* 1/2 (- (* 2.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (* 1.0 (/ 1 (* (pow (+ (sqrt 1.0) 1) 2) (pow (sqrt 1.0) 2)))) (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) 3.522 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt 1.0) 1))) (+ (* (/ (pow (/ -1.0 (* (+ (sqrt 1.0) 1) (sqrt 1.0))) 2) 2)) (* (/ (pow (* 1/2 (- (* 2.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (* 1.0 (/ 1 (* (pow (+ (sqrt 1.0) 1) 2) (pow (sqrt 1.0) 2)))) (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) 1) 1)))) into (* (+ (sqrt 1.0) 1) (- (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))))) 3.523 * [backup-simplify]: Simplify (- 0) into 0 3.540 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) 1) (- (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))))) 0) into (- (+ (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 1.0 (/ 1 (+ (sqrt 1.0) 1)))) (+ (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))))) 3.563 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 1.0 (/ 1 (+ (sqrt 1.0) 1)))) (+ (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))))) into (- (+ (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 1.0 (/ 1 (+ (sqrt 1.0) 1)))) (+ (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))))) 3.591 * [backup-simplify]: Simplify (+ (* (- (+ (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 1.0 (/ 1 (+ (sqrt 1.0) 1)))) (+ (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))))) (pow x 2)) (+ (* (- (* 1.0 (/ 1 (sqrt 1.0)))) x) (sqrt 1.0))) into (- (+ (* 1.0 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (+ (sqrt 1.0) 1))))) (+ (* 1.0 (/ x (sqrt 1.0))) (+ (* 0.5 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))) (* 0.5 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) 3.591 * [backup-simplify]: Simplify (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))))) into (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 3.591 * [approximate]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in (x) around 0 3.591 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 3.592 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 1) 3.592 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 3.592 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 3.592 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 3.592 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 3.592 * [taylor]: Taking taylor expansion of 1 in x 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 3.592 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.592 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.592 * [taylor]: Taking taylor expansion of 1.0 in x 3.592 * [backup-simplify]: Simplify 1.0 into 1.0 3.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.592 * [taylor]: Taking taylor expansion of x in x 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.593 * [backup-simplify]: Simplify (/ 1 1) into 1 3.593 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.593 * [taylor]: Taking taylor expansion of x in x 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify 1 into 1 3.593 * [backup-simplify]: Simplify (/ 1 1) into 1 3.593 * [taylor]: Taking taylor expansion of 1.0 in x 3.594 * [backup-simplify]: Simplify 1.0 into 1.0 3.594 * [backup-simplify]: Simplify (- 1) into -1 3.594 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.595 * [backup-simplify]: Simplify (+ 1 0) into 1 3.596 * [backup-simplify]: Simplify (/ -1 1) into -1 3.596 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (- 0) into 0 3.598 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.599 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.602 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 3.603 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 3.604 * [backup-simplify]: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) 3.606 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 3.608 * [backup-simplify]: Simplify (exp (log (+ (sqrt -1) 1))) into (+ (sqrt -1) 1) 3.608 * [taylor]: Taking taylor expansion of 1 in x 3.608 * [backup-simplify]: Simplify 1 into 1 3.608 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 3.608 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 1) 3.608 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 3.608 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 3.609 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 3.609 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 3.609 * [taylor]: Taking taylor expansion of 1 in x 3.609 * [backup-simplify]: Simplify 1 into 1 3.609 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 3.609 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.609 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.609 * [taylor]: Taking taylor expansion of 1.0 in x 3.609 * [backup-simplify]: Simplify 1.0 into 1.0 3.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.609 * [taylor]: Taking taylor expansion of x in x 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 1 into 1 3.609 * [backup-simplify]: Simplify (/ 1 1) into 1 3.609 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.609 * [taylor]: Taking taylor expansion of x in x 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 1 into 1 3.610 * [backup-simplify]: Simplify (/ 1 1) into 1 3.610 * [taylor]: Taking taylor expansion of 1.0 in x 3.610 * [backup-simplify]: Simplify 1.0 into 1.0 3.611 * [backup-simplify]: Simplify (- 1) into -1 3.611 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.611 * [backup-simplify]: Simplify (+ 1 0) into 1 3.612 * [backup-simplify]: Simplify (/ -1 1) into -1 3.612 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (- 0) into 0 3.614 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.615 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.618 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 3.620 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 3.621 * [backup-simplify]: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) 3.622 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 3.633 * [backup-simplify]: Simplify (exp (log (+ (sqrt -1) 1))) into (+ (sqrt -1) 1) 3.633 * [taylor]: Taking taylor expansion of 1 in x 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [backup-simplify]: Simplify (- 1) into -1 3.635 * [backup-simplify]: Simplify (+ (+ (sqrt -1) 1) -1) into (sqrt -1) 3.635 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.637 * [backup-simplify]: Simplify (+ 0 (/ 1.0 (sqrt -1))) into (* 1.0 (/ 1 (sqrt -1))) 3.651 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1.0 (/ 1 (sqrt -1)))) 1)) (pow (+ (sqrt -1) 1) 1)))) 1) into (/ 1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 3.664 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow (/ 1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 1) 1)))) into (/ 1.0 (sqrt -1)) 3.665 * [backup-simplify]: Simplify (- 0) into 0 3.666 * [backup-simplify]: Simplify (+ (/ 1.0 (sqrt -1)) 0) into (* 1.0 (/ 1 (sqrt -1))) 3.668 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sqrt -1))) into (/ 1.0 (sqrt -1)) 3.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.670 * [backup-simplify]: Simplify (- 0) into 0 3.670 * [backup-simplify]: Simplify (+ 0 0) into 0 3.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.671 * [backup-simplify]: Simplify (+ 0 0) into 0 3.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 3.682 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.690 * [backup-simplify]: Simplify (+ 0 (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1)))) into (- (+ (* 0.5 (/ 1 (pow (sqrt -1) 3))) (* 1.0 (/ 1 (sqrt -1))))) 3.715 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1.0 (/ 1 (sqrt -1)))) 2)) (pow (+ (sqrt -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 0.5 (/ 1 (pow (sqrt -1) 3))) (* 1.0 (/ 1 (sqrt -1)))))) 1)) (pow (+ (sqrt -1) 1) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 2.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))))) 3.772 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow (/ 1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 2) 2)) (* (/ (pow (* -1/2 (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 2.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))))) 1) 1)))) into (* -1 (* (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))) (+ (sqrt -1) 1))) 3.773 * [backup-simplify]: Simplify (- 0) into 0 3.792 * [backup-simplify]: Simplify (+ (* -1 (* (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))) (+ (sqrt -1) 1))) 0) into (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt -1) 1)))) (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (+ (sqrt -1) 1))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))))) 3.810 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt -1) 1)))) (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (+ (sqrt -1) 1))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))))) into (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt -1) 1)))) (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (+ (sqrt -1) 1))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))))) 3.836 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt -1) 1)))) (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (+ (sqrt -1) 1))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))))) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 0.5 (/ 1 (* (pow x 2) (* (pow (sqrt -1) 3) (+ (sqrt -1) 1))))) (+ (* 0.5 (/ 1 (* (pow x 2) (* (pow (sqrt -1) 2) (+ (sqrt -1) 1))))) (+ (* 1.0 (/ 1 (* (pow x 2) (* (sqrt -1) (+ (sqrt -1) 1))))) (* 1.0 (/ 1 (* (pow x 2) (+ (sqrt -1) 1)))))))) 3.836 * [backup-simplify]: Simplify (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))))) into (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 3.837 * [approximate]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in (x) around 0 3.837 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 3.837 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 1) 3.837 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 3.837 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 3.837 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 3.837 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 3.837 * [taylor]: Taking taylor expansion of 1 in x 3.837 * [backup-simplify]: Simplify 1 into 1 3.837 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 3.837 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.837 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.837 * [taylor]: Taking taylor expansion of x in x 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify 1 into 1 3.838 * [backup-simplify]: Simplify (/ 1 1) into 1 3.838 * [taylor]: Taking taylor expansion of 1.0 in x 3.838 * [backup-simplify]: Simplify 1.0 into 1.0 3.838 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.838 * [taylor]: Taking taylor expansion of 1.0 in x 3.838 * [backup-simplify]: Simplify 1.0 into 1.0 3.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.838 * [taylor]: Taking taylor expansion of x in x 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify 1 into 1 3.839 * [backup-simplify]: Simplify (/ 1 1) into 1 3.839 * [backup-simplify]: Simplify (+ 1 0) into 1 3.839 * [backup-simplify]: Simplify (- 1) into -1 3.840 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.840 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.841 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.842 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.843 * [backup-simplify]: Simplify (- 0) into 0 3.843 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.846 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.849 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 3.850 * [backup-simplify]: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) 3.851 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 3.854 * [backup-simplify]: Simplify (exp (log (+ (sqrt -1) 1))) into (+ (sqrt -1) 1) 3.854 * [taylor]: Taking taylor expansion of 1 in x 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 3.854 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 1) 3.854 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 3.854 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 3.854 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 3.854 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 3.854 * [taylor]: Taking taylor expansion of 1 in x 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 3.854 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.854 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.854 * [taylor]: Taking taylor expansion of x in x 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 1 into 1 3.855 * [backup-simplify]: Simplify (/ 1 1) into 1 3.855 * [taylor]: Taking taylor expansion of 1.0 in x 3.855 * [backup-simplify]: Simplify 1.0 into 1.0 3.855 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.855 * [taylor]: Taking taylor expansion of 1.0 in x 3.855 * [backup-simplify]: Simplify 1.0 into 1.0 3.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.855 * [taylor]: Taking taylor expansion of x in x 3.855 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify 1 into 1 3.855 * [backup-simplify]: Simplify (/ 1 1) into 1 3.856 * [backup-simplify]: Simplify (+ 1 0) into 1 3.856 * [backup-simplify]: Simplify (- 1) into -1 3.857 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.857 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.857 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.859 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.860 * [backup-simplify]: Simplify (- 0) into 0 3.860 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.864 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.866 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 3.867 * [backup-simplify]: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) 3.868 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 3.871 * [backup-simplify]: Simplify (exp (log (+ (sqrt -1) 1))) into (+ (sqrt -1) 1) 3.871 * [taylor]: Taking taylor expansion of 1 in x 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [backup-simplify]: Simplify (- 1) into -1 3.873 * [backup-simplify]: Simplify (+ (+ (sqrt -1) 1) -1) into (sqrt -1) 3.873 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.875 * [backup-simplify]: Simplify (+ 0 (/ -1.0 (sqrt -1))) into (- (* 1.0 (/ 1 (sqrt -1)))) 3.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1.0 (/ 1 (sqrt -1))))) 1)) (pow (+ (sqrt -1) 1) 1)))) 1) into (/ -1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 3.909 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow (/ -1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 1) 1)))) into (/ -1.0 (sqrt -1)) 3.909 * [backup-simplify]: Simplify (- 0) into 0 3.910 * [backup-simplify]: Simplify (+ (/ -1.0 (sqrt -1)) 0) into (- (* 1.0 (/ 1 (sqrt -1)))) 3.912 * [backup-simplify]: Simplify (- (* 1.0 (/ 1 (sqrt -1)))) into (- (* 1.0 (/ 1 (sqrt -1)))) 3.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.913 * [backup-simplify]: Simplify (+ 0 0) into 0 3.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.913 * [backup-simplify]: Simplify (- 0) into 0 3.913 * [backup-simplify]: Simplify (+ 0 0) into 0 3.916 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 3.920 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.925 * [backup-simplify]: Simplify (+ 0 (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1)))) into (- (+ (* 0.5 (/ 1 (pow (sqrt -1) 3))) (* 1.0 (/ 1 (sqrt -1))))) 3.967 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1.0 (/ 1 (sqrt -1))))) 2)) (pow (+ (sqrt -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 0.5 (/ 1 (pow (sqrt -1) 3))) (* 1.0 (/ 1 (sqrt -1)))))) 1)) (pow (+ (sqrt -1) 1) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 2.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))))) 4.044 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow (/ -1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 2) 2)) (* (/ (pow (* -1/2 (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 2.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))))) 1) 1)))) into (* -1 (* (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))) (+ (sqrt -1) 1))) 4.044 * [backup-simplify]: Simplify (- 0) into 0 4.058 * [backup-simplify]: Simplify (+ (* -1 (* (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))) (+ (sqrt -1) 1))) 0) into (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt -1) 1)))) (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (+ (sqrt -1) 1))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))))) 4.075 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt -1) 1)))) (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (+ (sqrt -1) 1))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))))) into (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt -1) 1)))) (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (+ (sqrt -1) 1))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))))) 4.101 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt -1) 1)))) (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (+ (sqrt -1) 1))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 1.0 (/ 1 (sqrt -1)))) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 0.5 (/ 1 (* (pow x 2) (* (pow (sqrt -1) 3) (+ (sqrt -1) 1))))) (+ (* 0.5 (/ 1 (* (pow x 2) (* (pow (sqrt -1) 2) (+ (sqrt -1) 1))))) (+ (* 1.0 (/ 1 (* (pow x 2) (* (sqrt -1) (+ (sqrt -1) 1))))) (* 1.0 (/ 1 (* (pow x 2) (+ (sqrt -1) 1)))))))) 4.101 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.101 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 4.101 * [approximate]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) in (x) around 0 4.102 * [taylor]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) in x 4.102 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 4.102 * [taylor]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) in x 4.102 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 4.102 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 4.102 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 4.103 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) 4.103 * [approximate]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) in (x) around 0 4.103 * [taylor]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) in x 4.104 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))))) 4.104 * [taylor]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) in x 4.104 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))))) 4.104 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0)))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 4.105 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))))))) into (atan (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) 4.105 * [approximate]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) in (x) around 0 4.105 * [taylor]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) in x 4.106 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) into (atan (expm1 (log1p (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))))) 4.106 * [taylor]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) in x 4.106 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) into (atan (expm1 (log1p (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))))) 4.106 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))))) into (atan (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) 4.106 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x))))))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 4.107 * * * [progress]: simplifying candidates 4.111 * [simplify]: Simplifying: (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (exp (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (log1p (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (log (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (exp (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (* (cbrt (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (cbrt (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (* (* (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (sqrt (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (sqrt (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (expm1 (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (log1p (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (log (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (exp (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (* (cbrt (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (cbrt (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))))) (cbrt (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (* (* (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (sqrt (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (sqrt (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (+ (* 1.0 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (+ (sqrt 1.0) 1))))) (+ (* 1.0 (/ x (sqrt 1.0))) (+ (* 0.5 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))) (* 0.5 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 0.5 (/ 1 (* (pow x 2) (* (pow (sqrt -1) 3) (+ (sqrt -1) 1))))) (+ (* 0.5 (/ 1 (* (pow x 2) (* (pow (sqrt -1) 2) (+ (sqrt -1) 1))))) (+ (* 1.0 (/ 1 (* (pow x 2) (* (sqrt -1) (+ (sqrt -1) 1))))) (* 1.0 (/ 1 (* (pow x 2) (+ (sqrt -1) 1)))))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 0.5 (/ 1 (* (pow x 2) (* (pow (sqrt -1) 3) (+ (sqrt -1) 1))))) (+ (* 0.5 (/ 1 (* (pow x 2) (* (pow (sqrt -1) 2) (+ (sqrt -1) 1))))) (+ (* 1.0 (/ 1 (* (pow x 2) (* (sqrt -1) (+ (sqrt -1) 1))))) (* 1.0 (/ 1 (* (pow x 2) (+ (sqrt -1) 1)))))))) (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 4.114 * * [simplify]: Extracting # 0 : cost 0 4.114 * * [simplify]: Extracting # 1 : cost 0 4.114 * * [simplify]: Extracting # 2 : cost 0 4.114 * * [simplify]: Extracting # 3 : cost 0 4.114 * * [simplify]: Extracting # 4 : cost 0 4.115 * * [simplify]: Extracting # 5 : cost 0 4.115 * * [simplify]: Extracting # 6 : cost 0 4.115 * * [simplify]: Extracting # 7 : cost 0 4.116 * * [simplify]: Extracting # 8 : cost 0 4.116 * * [simplify]: Extracting # 9 : cost 0 4.116 * * [simplify]: Extracting # 10 : cost 0 4.116 * * [simplify]: Extracting # 11 : cost 0 4.117 * * [simplify]: Extracting # 12 : cost 0 4.117 * * [simplify]: iteration 0 : 225 enodes (cost 1895 ) 4.181 * * [simplify]: Extracting # 0 : cost 0 4.182 * * [simplify]: Extracting # 1 : cost 0 4.183 * * [simplify]: Extracting # 2 : cost 0 4.184 * * [simplify]: Extracting # 3 : cost 0 4.185 * * [simplify]: Extracting # 4 : cost 0 4.186 * * [simplify]: Extracting # 5 : cost 0 4.188 * * [simplify]: iteration 1 : 522 enodes (cost 1734 ) 4.607 * * [simplify]: Extracting # 0 : cost 0 4.611 * * [simplify]: Extracting # 1 : cost 0 4.615 * * [simplify]: Extracting # 2 : cost 0 4.618 * * [simplify]: Extracting # 3 : cost 0 4.620 * * [simplify]: Extracting # 4 : cost 0 4.622 * * [simplify]: Extracting # 5 : cost 0 4.624 * * [simplify]: iteration 2 : 1486 enodes (cost 1603 ) 5.668 * * [simplify]: Extracting # 0 : cost 0 5.679 * * [simplify]: Extracting # 1 : cost 0 5.701 * * [simplify]: Extracting # 2 : cost 0 5.708 * * [simplify]: Extracting # 3 : cost 0 5.714 * * [simplify]: Extracting # 4 : cost 0 5.720 * * [simplify]: Extracting # 5 : cost 0 5.726 * * [simplify]: iteration done: 5001 enodes (cost 1568 ) 5.727 * [simplify]: Simplified to: (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (fabs (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (fma 1.0 1.0 (* x (- x 1.0)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ x 1.0)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ x 1.0)) 3) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (- x 1.0) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (- 1.0 x) (- 1.0 x) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ x 1.0) (fma 1.0 1.0 (* x (+ 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (exp (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (+ (sqrt 1.0) (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (sqrt -1) (/ 1.0 (* x (sqrt -1)))) (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (- (sqrt -1)))))) (- (+ (sqrt -1) (/ 1.0 (* x (sqrt -1)))) (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (- (sqrt -1)))))) (+ 1.0 (* x (- (* 2.0 x) 2.0))) (- (- (/ 2.0 x) (/ (/ 2.0 x) x)) 1) (- (- (/ 2.0 x) (/ (/ 2.0 x) x)) 1) (+ (* (/ (pow x 2) (+ (sqrt 1.0) 1)) (+ (/ 1.0 (sqrt 1.0)) 1.0)) (- (sqrt 1.0) (fma 0.5 (* (/ x (+ (sqrt 1.0) 1)) (+ (/ x (pow (sqrt 1.0) 3)) (/ x 1.0))) (* 1.0 (/ x (sqrt 1.0)))))) (- (- (+ (sqrt -1) (/ 1.0 (* x (sqrt -1)))) (* (/ 1 (pow x 2)) (+ (/ 0.5 (fma (sqrt -1) -1 -1)) (/ 0.5 (- (+ (sqrt -1) -1)))))) (* (/ 1 (pow x 2)) (+ (/ 1.0 (+ (sqrt -1) -1)) (/ 1.0 (+ (sqrt -1) 1))))) (- (- (+ (sqrt -1) (/ 1.0 (* x (sqrt -1)))) (* (/ 1 (pow x 2)) (+ (/ 0.5 (fma (sqrt -1) -1 -1)) (/ 0.5 (- (+ (sqrt -1) -1)))))) (* (/ 1 (pow x 2)) (+ (/ 1.0 (+ (sqrt -1) -1)) (/ 1.0 (+ (sqrt -1) 1))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 5.729 * * * [progress]: adding candidates to table 6.198 * [progress]: [Phase 3 of 3] Extracting. 6.201 * [simplify]: Simplifying: (* 2.0 (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) 6.201 * * [simplify]: Extracting # 0 : cost 0 6.201 * * [simplify]: Extracting # 1 : cost 0 6.201 * * [simplify]: Extracting # 2 : cost 0 6.202 * * [simplify]: Extracting # 3 : cost 0 6.202 * * [simplify]: Extracting # 4 : cost 0 6.202 * * [simplify]: Extracting # 5 : cost 0 6.202 * * [simplify]: Extracting # 6 : cost 0 6.202 * * [simplify]: Extracting # 7 : cost 0 6.202 * * [simplify]: Extracting # 8 : cost 0 6.202 * * [simplify]: Extracting # 9 : cost 0 6.202 * * [simplify]: iteration 0 : 11 enodes (cost 13 ) 6.202 * * [simplify]: Extracting # 0 : cost 0 6.202 * * [simplify]: iteration 1 : 13 enodes (cost 13 ) 6.203 * * [simplify]: Extracting # 0 : cost 0 6.203 * * [simplify]: iteration done: 13 enodes (cost 13 ) 6.203 * [simplify]: Simplified to: (* 2.0 (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) 8.509 * [regime-testing]: Baseline error score: 0.014751843980497562 8.511 * [regime-testing]: Oracle error score: 0.014751843980497562 8.512 * [regime-testing]: End program error score: 0.014751843980497562