6.717 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.047 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.047 * [simplify]: Simplifying: (sqrt (- 1.0 (* x x))) 0.047 * * [simplify]: iteration 0: 5 enodes 0.049 * * [simplify]: iteration 1: 7 enodes 0.052 * * [simplify]: iteration 2: 11 enodes 0.055 * * [simplify]: iteration complete: 11 enodes 0.055 * * [simplify]: Extracting #0: cost 1 inf + 0 0.055 * * [simplify]: Extracting #1: cost 2 inf + 0 0.055 * * [simplify]: Extracting #2: cost 5 inf + 0 0.055 * * [simplify]: Extracting #3: cost 6 inf + 1 0.055 * * [simplify]: Extracting #4: cost 0 inf + 369 0.056 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.057 * * [progress]: iteration 1 / 4 0.057 * * * [progress]: picking best candidate 0.061 * * * * [pick]: Picked # 0.061 * * * [progress]: localizing error 0.080 * * * [progress]: generating rewritten candidates 0.080 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.088 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.088 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.088 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [backup-simplify]: Simplify 1.0 into 1.0 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.089 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.091 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [backup-simplify]: Simplify 1.0 into 1.0 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.092 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.093 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (- 1) into -1 0.094 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.097 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.098 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.111 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.122 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 0.122 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.122 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.122 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [backup-simplify]: Simplify 1.0 into 1.0 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [backup-simplify]: Simplify (- 1) into -1 0.124 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.124 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.127 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [backup-simplify]: Simplify 1.0 into 1.0 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [backup-simplify]: Simplify (- 1) into -1 0.129 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.130 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.133 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.138 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.139 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.154 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.157 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 0.157 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.157 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.157 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [backup-simplify]: Simplify 1.0 into 1.0 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify (- 1) into -1 0.159 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.159 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.162 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.162 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [backup-simplify]: Simplify 1.0 into 1.0 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (* 1 1) into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [backup-simplify]: Simplify (- 1) into -1 0.164 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.164 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.167 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.170 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.173 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.174 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (- 0) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.189 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.192 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 0.192 * * * [progress]: simplifying candidates 0.192 * * * * [progress]: [ 1 / 20 ] simplifiying candidate # 0.192 * * * * [progress]: [ 2 / 20 ] simplifiying candidate # 0.192 * * * * [progress]: [ 3 / 20 ] simplifiying candidate # 0.193 * * * * [progress]: [ 4 / 20 ] simplifiying candidate # 0.193 * * * * [progress]: [ 5 / 20 ] simplifiying candidate # 0.193 * * * * [progress]: [ 6 / 20 ] simplifiying candidate # 0.193 * * * * [progress]: [ 7 / 20 ] simplifiying candidate # 0.193 * * * * [progress]: [ 8 / 20 ] simplifiying candidate # 0.193 * * * * [progress]: [ 9 / 20 ] simplifiying candidate # 0.193 * * * * [progress]: [ 10 / 20 ] simplifiying candidate # 0.193 * * * * [progress]: [ 11 / 20 ] simplifiying candidate # 0.193 * * * * [progress]: [ 12 / 20 ] simplifiying candidate # 0.193 * * * * [progress]: [ 13 / 20 ] simplifiying candidate # 0.193 * * * * [progress]: [ 14 / 20 ] simplifiying candidate # 0.193 * * * * [progress]: [ 15 / 20 ] simplifiying candidate # 0.193 * * * * [progress]: [ 16 / 20 ] simplifiying candidate # 0.193 * * * * [progress]: [ 17 / 20 ] simplifiying candidate #real (real->posit16 (sqrt (- 1.0 (* x x))))))> 0.193 * * * * [progress]: [ 18 / 20 ] simplifiying candidate # 0.193 * * * * [progress]: [ 19 / 20 ] simplifiying candidate # 0.193 * * * * [progress]: [ 20 / 20 ] simplifiying candidate # 0.194 * [simplify]: Simplifying: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (real->posit16 (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 0.195 * * [simplify]: iteration 0: 68 enodes 0.224 * * [simplify]: iteration 1: 155 enodes 0.278 * * [simplify]: iteration 2: 446 enodes 0.552 * * [simplify]: iteration 3: 1892 enodes 1.226 * * [simplify]: iteration complete: 5001 enodes 1.226 * * [simplify]: Extracting #0: cost 21 inf + 0 1.226 * * [simplify]: Extracting #1: cost 56 inf + 2 1.228 * * [simplify]: Extracting #2: cost 572 inf + 3 1.232 * * [simplify]: Extracting #3: cost 1301 inf + 6799 1.254 * * [simplify]: Extracting #4: cost 951 inf + 81783 1.316 * * [simplify]: Extracting #5: cost 259 inf + 258714 1.366 * * [simplify]: Extracting #6: cost 97 inf + 330343 1.433 * * [simplify]: Extracting #7: cost 17 inf + 345953 1.491 * * [simplify]: Extracting #8: cost 0 inf + 350614 1.558 * [simplify]: Simplified to: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (* 1.0 (* 1.0 1.0)) (* (* x (* x x)) (* x (* x x))))) (sqrt (+ (* 1.0 1.0) (* (* x x) (+ 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (real->posit16 (sqrt (- 1.0 (* x x)))) (- (- (sqrt 1.0) (/ (* (* x x) 1/2) (sqrt 1.0))) (/ (* (/ 1/8 1.0) (* (* x x) (* x x))) (sqrt 1.0))) (+ (* x (sqrt -1)) (- (/ (/ 0.5 x) (sqrt -1)) (/ 0.125 (* (sqrt -1) (* (- x) (* x x)))))) (+ (- (* (sqrt -1) (- x)) (/ (/ 0.5 x) (sqrt -1))) (/ 0.125 (* (sqrt -1) (* (- x) (* x x))))) 1.559 * * * [progress]: adding candidates to table 1.620 * * [progress]: iteration 2 / 4 1.620 * * * [progress]: picking best candidate 1.625 * * * * [pick]: Picked # 1.625 * * * [progress]: localizing error 1.640 * * * [progress]: generating rewritten candidates 1.640 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 1.644 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.662 * * * [progress]: generating series expansions 1.662 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 1.662 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 1.662 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 1.662 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.662 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.662 * [taylor]: Taking taylor expansion of 1.0 in x 1.662 * [backup-simplify]: Simplify 1.0 into 1.0 1.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.663 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.664 * [backup-simplify]: Simplify (+ 0 0) into 0 1.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.664 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.664 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.664 * [taylor]: Taking taylor expansion of 1.0 in x 1.664 * [backup-simplify]: Simplify 1.0 into 1.0 1.664 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.664 * [taylor]: Taking taylor expansion of x in x 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 1 into 1 1.665 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.665 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.665 * [backup-simplify]: Simplify (+ 0 0) into 0 1.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.666 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify (* 1 1) into 1 1.667 * [backup-simplify]: Simplify (- 1) into -1 1.667 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.669 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.669 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 1.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.670 * [backup-simplify]: Simplify (- 0) into 0 1.670 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.672 * [backup-simplify]: Simplify (- 0) into 0 1.672 * [backup-simplify]: Simplify (+ 0 0) into 0 1.675 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.676 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.678 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 1.679 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.679 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.679 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.679 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.679 * [taylor]: Taking taylor expansion of 1.0 in x 1.679 * [backup-simplify]: Simplify 1.0 into 1.0 1.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.679 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.679 * [backup-simplify]: Simplify (* 1 1) into 1 1.679 * [backup-simplify]: Simplify (/ 1 1) into 1 1.679 * [backup-simplify]: Simplify (- 1) into -1 1.680 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.680 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (- 0) into 0 1.681 * [backup-simplify]: Simplify (+ 0 0) into 0 1.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.682 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.682 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.682 * [taylor]: Taking taylor expansion of 1.0 in x 1.682 * [backup-simplify]: Simplify 1.0 into 1.0 1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify (* 1 1) into 1 1.682 * [backup-simplify]: Simplify (/ 1 1) into 1 1.683 * [backup-simplify]: Simplify (- 1) into -1 1.683 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.683 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.684 * [backup-simplify]: Simplify (- 0) into 0 1.684 * [backup-simplify]: Simplify (+ 0 0) into 0 1.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.685 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.685 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (- 0) into 0 1.687 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.689 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.689 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.692 * [backup-simplify]: Simplify (- 0) into 0 1.692 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify (- 0) into 0 1.696 * [backup-simplify]: Simplify (+ 0 0) into 0 1.702 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.704 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.705 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 1.706 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.706 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.706 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.706 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.706 * [taylor]: Taking taylor expansion of 1.0 in x 1.706 * [backup-simplify]: Simplify 1.0 into 1.0 1.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.706 * [taylor]: Taking taylor expansion of x in x 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (* 1 1) into 1 1.706 * [backup-simplify]: Simplify (/ 1 1) into 1 1.707 * [backup-simplify]: Simplify (- 1) into -1 1.707 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.707 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (- 0) into 0 1.708 * [backup-simplify]: Simplify (+ 0 0) into 0 1.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.709 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.709 * [taylor]: Taking taylor expansion of 1.0 in x 1.709 * [backup-simplify]: Simplify 1.0 into 1.0 1.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.709 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.709 * [taylor]: Taking taylor expansion of x in x 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 1 into 1 1.709 * [backup-simplify]: Simplify (* 1 1) into 1 1.709 * [backup-simplify]: Simplify (/ 1 1) into 1 1.710 * [backup-simplify]: Simplify (- 1) into -1 1.710 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.710 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.711 * [backup-simplify]: Simplify (- 0) into 0 1.711 * [backup-simplify]: Simplify (+ 0 0) into 0 1.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.712 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.712 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (- 0) into 0 1.714 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.716 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.716 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (- 0) into 0 1.718 * [backup-simplify]: Simplify (+ 0 0) into 0 1.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.721 * [backup-simplify]: Simplify (- 0) into 0 1.722 * [backup-simplify]: Simplify (+ 0 0) into 0 1.728 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.730 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.732 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 1.732 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.732 * [backup-simplify]: Simplify (log (exp (sqrt (- 1.0 (* x x))))) into (sqrt (- 1.0 (pow x 2))) 1.732 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 1.732 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.732 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.732 * [taylor]: Taking taylor expansion of 1.0 in x 1.732 * [backup-simplify]: Simplify 1.0 into 1.0 1.732 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.732 * [taylor]: Taking taylor expansion of x in x 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 1 into 1 1.733 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.733 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.733 * [backup-simplify]: Simplify (+ 0 0) into 0 1.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.734 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.734 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.734 * [taylor]: Taking taylor expansion of 1.0 in x 1.734 * [backup-simplify]: Simplify 1.0 into 1.0 1.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.734 * [taylor]: Taking taylor expansion of x in x 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.734 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.734 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.734 * [backup-simplify]: Simplify (+ 0 0) into 0 1.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.735 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify (* 1 1) into 1 1.736 * [backup-simplify]: Simplify (- 1) into -1 1.736 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.738 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.738 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 1.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.739 * [backup-simplify]: Simplify (- 0) into 0 1.739 * [backup-simplify]: Simplify (+ 0 0) into 0 1.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.740 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.741 * [backup-simplify]: Simplify (- 0) into 0 1.741 * [backup-simplify]: Simplify (+ 0 0) into 0 1.747 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.748 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.750 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 1.750 * [backup-simplify]: Simplify (log (exp (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.750 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.750 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.750 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.750 * [taylor]: Taking taylor expansion of 1.0 in x 1.750 * [backup-simplify]: Simplify 1.0 into 1.0 1.750 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (* 1 1) into 1 1.751 * [backup-simplify]: Simplify (/ 1 1) into 1 1.751 * [backup-simplify]: Simplify (- 1) into -1 1.751 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.752 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify (- 0) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.754 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.755 * [taylor]: Taking taylor expansion of 1.0 in x 1.755 * [backup-simplify]: Simplify 1.0 into 1.0 1.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.755 * [taylor]: Taking taylor expansion of x in x 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.755 * [backup-simplify]: Simplify (* 1 1) into 1 1.755 * [backup-simplify]: Simplify (/ 1 1) into 1 1.756 * [backup-simplify]: Simplify (- 1) into -1 1.756 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.757 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (- 0) into 0 1.759 * [backup-simplify]: Simplify (+ 0 0) into 0 1.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.760 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.760 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.762 * [backup-simplify]: Simplify (- 0) into 0 1.762 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.766 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.767 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (- 0) into 0 1.769 * [backup-simplify]: Simplify (+ 0 0) into 0 1.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.772 * [backup-simplify]: Simplify (- 0) into 0 1.772 * [backup-simplify]: Simplify (+ 0 0) into 0 1.776 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.777 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.779 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 1.779 * [backup-simplify]: Simplify (log (exp (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.779 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.779 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.779 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.779 * [taylor]: Taking taylor expansion of 1.0 in x 1.779 * [backup-simplify]: Simplify 1.0 into 1.0 1.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.780 * [backup-simplify]: Simplify (* 1 1) into 1 1.780 * [backup-simplify]: Simplify (/ 1 1) into 1 1.780 * [backup-simplify]: Simplify (- 1) into -1 1.780 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.781 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.782 * [backup-simplify]: Simplify (- 0) into 0 1.782 * [backup-simplify]: Simplify (+ 0 0) into 0 1.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.782 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.782 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.782 * [taylor]: Taking taylor expansion of 1.0 in x 1.782 * [backup-simplify]: Simplify 1.0 into 1.0 1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.782 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 1 into 1 1.783 * [backup-simplify]: Simplify (* 1 1) into 1 1.783 * [backup-simplify]: Simplify (/ 1 1) into 1 1.783 * [backup-simplify]: Simplify (- 1) into -1 1.783 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.784 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.785 * [backup-simplify]: Simplify (- 0) into 0 1.785 * [backup-simplify]: Simplify (+ 0 0) into 0 1.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.786 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.787 * [backup-simplify]: Simplify (- 0) into 0 1.787 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.789 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.790 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.791 * [backup-simplify]: Simplify (- 0) into 0 1.791 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.794 * [backup-simplify]: Simplify (- 0) into 0 1.794 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.799 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.802 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 1.802 * * * [progress]: simplifying candidates 1.802 * * * * [progress]: [ 1 / 43 ] simplifiying candidate # 1.802 * * * * [progress]: [ 2 / 43 ] simplifiying candidate # 1.802 * * * * [progress]: [ 3 / 43 ] simplifiying candidate # 1.802 * * * * [progress]: [ 4 / 43 ] simplifiying candidate # 1.802 * * * * [progress]: [ 5 / 43 ] simplifiying candidate # 1.802 * * * * [progress]: [ 6 / 43 ] simplifiying candidate # 1.803 * * * * [progress]: [ 7 / 43 ] simplifiying candidate # 1.803 * * * * [progress]: [ 8 / 43 ] simplifiying candidate # 1.803 * * * * [progress]: [ 9 / 43 ] simplifiying candidate # 1.803 * * * * [progress]: [ 10 / 43 ] simplifiying candidate # 1.803 * * * * [progress]: [ 11 / 43 ] simplifiying candidate # 1.803 * * * * [progress]: [ 12 / 43 ] simplifiying candidate # 1.803 * * * * [progress]: [ 13 / 43 ] simplifiying candidate # 1.803 * * * * [progress]: [ 14 / 43 ] simplifiying candidate # 1.803 * * * * [progress]: [ 15 / 43 ] simplifiying candidate # 1.803 * * * * [progress]: [ 16 / 43 ] simplifiying candidate # 1.803 * * * * [progress]: [ 17 / 43 ] simplifiying candidate #real (real->posit16 (sqrt (- 1.0 (* x x))))))))> 1.803 * * * * [progress]: [ 18 / 43 ] simplifiying candidate # 1.803 * * * * [progress]: [ 19 / 43 ] simplifiying candidate # 1.803 * * * * [progress]: [ 20 / 43 ] simplifiying candidate # 1.803 * * * * [progress]: [ 21 / 43 ] simplifiying candidate # 1.803 * * * * [progress]: [ 22 / 43 ] simplifiying candidate # 1.803 * * * * [progress]: [ 23 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 24 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 25 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 26 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 27 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 28 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 29 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 30 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 31 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 32 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 33 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 34 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 35 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 36 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 37 / 43 ] simplifiying candidate #real (real->posit16 (log (exp (sqrt (- 1.0 (* x x))))))))> 1.804 * * * * [progress]: [ 38 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 39 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 40 / 43 ] simplifiying candidate # 1.804 * * * * [progress]: [ 41 / 43 ] simplifiying candidate # 1.805 * * * * [progress]: [ 42 / 43 ] simplifiying candidate # 1.805 * * * * [progress]: [ 43 / 43 ] simplifiying candidate # 1.805 * [simplify]: Simplifying: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (real->posit16 (sqrt (- 1.0 (* x x)))) (log (* (cbrt (exp (sqrt (- 1.0 (* x x))))) (cbrt (exp (sqrt (- 1.0 (* x x))))))) (log (cbrt (exp (sqrt (- 1.0 (* x x)))))) (log (sqrt (exp (sqrt (- 1.0 (* x x)))))) (log (sqrt (exp (sqrt (- 1.0 (* x x)))))) (log 1) (log (exp (sqrt (- 1.0 (* x x))))) (log (exp (sqrt (- 1.0 (* x x))))) (log (exp (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))))) (log (exp (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))))) (log (exp (sqrt (sqrt (- 1.0 (* x x)))))) (log (exp (sqrt 1))) (log (exp (sqrt (+ (sqrt 1.0) x)))) (log (exp (sqrt (sqrt (- 1.0 (* x x)))))) (log (exp 1)) (log (log (exp (sqrt (- 1.0 (* x x)))))) (exp (log (exp (sqrt (- 1.0 (* x x)))))) (* (cbrt (log (exp (sqrt (- 1.0 (* x x)))))) (cbrt (log (exp (sqrt (- 1.0 (* x x))))))) (cbrt (log (exp (sqrt (- 1.0 (* x x)))))) (* (* (log (exp (sqrt (- 1.0 (* x x))))) (log (exp (sqrt (- 1.0 (* x x)))))) (log (exp (sqrt (- 1.0 (* x x)))))) (sqrt (log (exp (sqrt (- 1.0 (* x x)))))) (sqrt (log (exp (sqrt (- 1.0 (* x x)))))) (real->posit16 (log (exp (sqrt (- 1.0 (* x x)))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 1.807 * * [simplify]: iteration 0: 96 enodes 1.829 * * [simplify]: iteration 1: 189 enodes 1.887 * * [simplify]: iteration 2: 501 enodes 2.154 * * [simplify]: iteration 3: 2038 enodes 2.977 * * [simplify]: iteration complete: 5001 enodes 2.977 * * [simplify]: Extracting #0: cost 25 inf + 0 2.977 * * [simplify]: Extracting #1: cost 69 inf + 3 2.980 * * [simplify]: Extracting #2: cost 596 inf + 5 2.989 * * [simplify]: Extracting #3: cost 1347 inf + 4375 3.011 * * [simplify]: Extracting #4: cost 1059 inf + 76331 3.048 * * [simplify]: Extracting #5: cost 341 inf + 230788 3.101 * * [simplify]: Extracting #6: cost 103 inf + 321964 3.174 * * [simplify]: Extracting #7: cost 18 inf + 343030 3.276 * * [simplify]: Extracting #8: cost 0 inf + 348102 3.378 * [simplify]: Simplified to: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (* 1.0 (* 1.0 1.0)) (* (* x x) (* (* x x) (* x x))))) (sqrt (+ (* 1.0 1.0) (* (+ (* x x) 1.0) (* x x)))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (real->posit16 (sqrt (- 1.0 (* x x)))) (+ (log (cbrt (exp (sqrt (- 1.0 (* x x)))))) (log (cbrt (exp (sqrt (- 1.0 (* x x))))))) (log (cbrt (exp (sqrt (- 1.0 (* x x)))))) (log (sqrt (exp (sqrt (- 1.0 (* x x)))))) (log (sqrt (exp (sqrt (- 1.0 (* x x)))))) 0 (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (+ (sqrt 1.0) x)) (sqrt (sqrt (- 1.0 (* x x)))) 1 (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (real->posit16 (sqrt (- 1.0 (* x x)))) (+ (- (sqrt 1.0) (* (/ x (sqrt 1.0)) (* 1/2 x))) (* (/ (/ (* (* x x) (* x x)) 1.0) (sqrt 1.0)) -1/8)) (+ (- (/ (/ 0.5 x) (sqrt -1)) (* (/ 0.125 x) (/ (/ -1 (sqrt -1)) (* x x)))) (* x (sqrt -1))) (- (- (* (/ 0.125 x) (/ (/ -1 (sqrt -1)) (* x x))) (/ (/ 0.5 x) (sqrt -1))) (* x (sqrt -1))) (+ (- (sqrt 1.0) (* (/ x (sqrt 1.0)) (* 1/2 x))) (* (/ (/ (* (* x x) (* x x)) 1.0) (sqrt 1.0)) -1/8)) (+ (- (/ (/ 0.5 x) (sqrt -1)) (* (/ 0.125 x) (/ (/ -1 (sqrt -1)) (* x x)))) (* x (sqrt -1))) (- (- (* (/ 0.125 x) (/ (/ -1 (sqrt -1)) (* x x))) (/ (/ 0.5 x) (sqrt -1))) (* x (sqrt -1))) 3.382 * * * [progress]: adding candidates to table 3.593 * * [progress]: iteration 3 / 4 3.593 * * * [progress]: picking best candidate 3.596 * * * * [pick]: Picked # 3.596 * * * [progress]: localizing error 3.614 * * * [progress]: generating rewritten candidates 3.614 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 3.654 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 3.661 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 3.668 * * * [progress]: generating series expansions 3.668 * * * * [progress]: [ 1 / 3 ] generating series at (2) 3.669 * [backup-simplify]: Simplify (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) into (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) 3.669 * [approximate]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) in (x) around 0 3.669 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) in x 3.669 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)) in x 3.669 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 3.669 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.669 * [taylor]: Taking taylor expansion of 1.0 in x 3.669 * [backup-simplify]: Simplify 1.0 into 1.0 3.669 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.670 * [taylor]: Taking taylor expansion of x in x 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 3.670 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.670 * [taylor]: Taking taylor expansion of 1.0 in x 3.670 * [backup-simplify]: Simplify 1.0 into 1.0 3.670 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.671 * [taylor]: Taking taylor expansion of x in x 3.671 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify 1 into 1 3.671 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.671 * [backup-simplify]: Simplify (- 0) into 0 3.672 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.673 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.674 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1.0) 2)) into (sqrt 1.0) 3.674 * [backup-simplify]: Simplify (- 1) into -1 3.674 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.674 * [backup-simplify]: Simplify (+ 0 1) into 1 3.676 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) -1) (* 1 (sqrt 1.0))) into 0 3.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1.0) 2)))) into 0 3.676 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) in x 3.676 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)) in x 3.676 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 3.677 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.677 * [taylor]: Taking taylor expansion of 1.0 in x 3.677 * [backup-simplify]: Simplify 1.0 into 1.0 3.677 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.677 * [taylor]: Taking taylor expansion of x in x 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify 1 into 1 3.677 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 3.677 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.677 * [taylor]: Taking taylor expansion of 1.0 in x 3.677 * [backup-simplify]: Simplify 1.0 into 1.0 3.678 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.678 * [taylor]: Taking taylor expansion of x in x 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 1 into 1 3.679 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.679 * [backup-simplify]: Simplify (- 0) into 0 3.680 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.681 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.683 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1.0) 2)) into (sqrt 1.0) 3.683 * [backup-simplify]: Simplify (- 1) into -1 3.684 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.684 * [backup-simplify]: Simplify (+ 0 1) into 1 3.686 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) -1) (* 1 (sqrt 1.0))) into 0 3.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1.0) 2)))) into 0 3.688 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.688 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.689 * [backup-simplify]: Simplify (- 0) into 0 3.690 * [backup-simplify]: Simplify (+ 0 0) into 0 3.691 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.691 * [backup-simplify]: Simplify (+ 0 0) into 0 3.692 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 -1) (* 0 (sqrt 1.0)))) into -1 3.693 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 3.694 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 3.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.695 * [backup-simplify]: Simplify (- 0) into 0 3.695 * [backup-simplify]: Simplify (+ 0 0) into 0 3.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.696 * [backup-simplify]: Simplify (+ 0 0) into 0 3.697 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 -1) (* 0 (sqrt 1.0))))) into 0 3.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 3.698 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.699 * [backup-simplify]: Simplify (- 0) into 0 3.699 * [backup-simplify]: Simplify (+ 0 0) into 0 3.700 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.700 * [backup-simplify]: Simplify (+ 0 0) into 0 3.702 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 (sqrt 1.0)))))) into 0 3.707 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.708 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.711 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 3.711 * [backup-simplify]: Simplify (* (sqrt (- (sqrt 1.0) (/ 1 x))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) into (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x)))) 3.711 * [approximate]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 3.711 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x)))) in x 3.711 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x))) in x 3.711 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.711 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.711 * [taylor]: Taking taylor expansion of 1.0 in x 3.711 * [backup-simplify]: Simplify 1.0 into 1.0 3.712 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.712 * [taylor]: Taking taylor expansion of x in x 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify 1 into 1 3.712 * [backup-simplify]: Simplify (/ 1 1) into 1 3.712 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.712 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.712 * [taylor]: Taking taylor expansion of 1.0 in x 3.712 * [backup-simplify]: Simplify 1.0 into 1.0 3.713 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.713 * [taylor]: Taking taylor expansion of x in x 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (/ 1 1) into 1 3.714 * [backup-simplify]: Simplify (+ 0 1) into 1 3.714 * [backup-simplify]: Simplify (- 1) into -1 3.714 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.714 * [backup-simplify]: Simplify (* 1 -1) into -1 3.715 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.715 * [backup-simplify]: Simplify (- 0) into 0 3.716 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.717 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.718 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (sqrt 1.0) -1)) into 0 3.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.719 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x)))) in x 3.719 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x))) in x 3.719 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.719 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.719 * [taylor]: Taking taylor expansion of 1.0 in x 3.719 * [backup-simplify]: Simplify 1.0 into 1.0 3.719 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.719 * [taylor]: Taking taylor expansion of x in x 3.719 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify 1 into 1 3.720 * [backup-simplify]: Simplify (/ 1 1) into 1 3.720 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.720 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.720 * [taylor]: Taking taylor expansion of 1.0 in x 3.720 * [backup-simplify]: Simplify 1.0 into 1.0 3.720 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.721 * [taylor]: Taking taylor expansion of x in x 3.721 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify 1 into 1 3.721 * [backup-simplify]: Simplify (/ 1 1) into 1 3.721 * [backup-simplify]: Simplify (+ 0 1) into 1 3.721 * [backup-simplify]: Simplify (- 1) into -1 3.722 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.722 * [backup-simplify]: Simplify (* 1 -1) into -1 3.722 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.723 * [backup-simplify]: Simplify (- 0) into 0 3.724 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.725 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.727 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (sqrt 1.0) -1)) into 0 3.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.728 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.728 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.730 * [backup-simplify]: Simplify (- 0) into 0 3.730 * [backup-simplify]: Simplify (+ 0 0) into 0 3.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.731 * [backup-simplify]: Simplify (+ 0 0) into 0 3.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) (sqrt 1.0)) (* 0 -1))) into (pow (sqrt 1.0) 2) 3.740 * [backup-simplify]: Simplify (/ (- (pow (sqrt 1.0) 2) (pow 0 2) (+)) (* 2 (sqrt -1))) into (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))) 3.742 * [backup-simplify]: Simplify (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))) into (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))) 3.743 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.745 * [backup-simplify]: Simplify (- 0) into 0 3.745 * [backup-simplify]: Simplify (+ 0 0) into 0 3.746 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.747 * [backup-simplify]: Simplify (+ 0 0) into 0 3.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 (sqrt 1.0)) (* 0 -1)))) into 0 3.751 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))))))) (* 2 (sqrt -1))) into 0 3.751 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.753 * [backup-simplify]: Simplify (- 0) into 0 3.753 * [backup-simplify]: Simplify (+ 0 0) into 0 3.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.756 * [backup-simplify]: Simplify (+ 0 0) into 0 3.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 -1))))) into 0 3.766 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (* -1/8 (/ (pow (sqrt 1.0) 4) (pow (sqrt -1) 3))) 3.769 * [backup-simplify]: Simplify (* -1/8 (/ (pow (sqrt 1.0) 4) (pow (sqrt -1) 3))) into (* -1/8 (/ (pow (sqrt 1.0) 4) (pow (sqrt -1) 3))) 3.775 * [backup-simplify]: Simplify (+ (* (* -1/8 (/ (pow (sqrt 1.0) 4) (pow (sqrt -1) 3))) (pow (/ 1 x) 3)) (+ (* (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* 1/2 (/ (pow (sqrt 1.0) 2) (* (sqrt -1) x))) (* x (sqrt -1))) (* 1/8 (/ (pow (sqrt 1.0) 4) (* (pow (sqrt -1) 3) (pow x 3))))) 3.776 * [backup-simplify]: Simplify (* (sqrt (- (sqrt 1.0) (/ 1 (- x)))) (sqrt (+ (sqrt 1.0) (/ 1 (- x))))) into (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x)))) 3.776 * [approximate]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 3.776 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x)))) in x 3.776 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x))) in x 3.776 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.776 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.776 * [taylor]: Taking taylor expansion of 1.0 in x 3.776 * [backup-simplify]: Simplify 1.0 into 1.0 3.777 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.777 * [taylor]: Taking taylor expansion of x in x 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (/ 1 1) into 1 3.778 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.778 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.778 * [taylor]: Taking taylor expansion of 1.0 in x 3.778 * [backup-simplify]: Simplify 1.0 into 1.0 3.778 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.779 * [taylor]: Taking taylor expansion of x in x 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.779 * [backup-simplify]: Simplify (/ 1 1) into 1 3.780 * [backup-simplify]: Simplify (+ 0 1) into 1 3.780 * [backup-simplify]: Simplify (- 1) into -1 3.780 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.781 * [backup-simplify]: Simplify (* 1 -1) into -1 3.781 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.782 * [backup-simplify]: Simplify (- 0) into 0 3.783 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.784 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.786 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (sqrt 1.0) -1)) into 0 3.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.787 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x)))) in x 3.787 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x))) in x 3.787 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.787 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.787 * [taylor]: Taking taylor expansion of 1.0 in x 3.787 * [backup-simplify]: Simplify 1.0 into 1.0 3.788 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.788 * [taylor]: Taking taylor expansion of x in x 3.788 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify 1 into 1 3.789 * [backup-simplify]: Simplify (/ 1 1) into 1 3.789 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.789 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.789 * [taylor]: Taking taylor expansion of 1.0 in x 3.789 * [backup-simplify]: Simplify 1.0 into 1.0 3.789 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.790 * [taylor]: Taking taylor expansion of x in x 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 1 into 1 3.790 * [backup-simplify]: Simplify (/ 1 1) into 1 3.791 * [backup-simplify]: Simplify (+ 0 1) into 1 3.791 * [backup-simplify]: Simplify (- 1) into -1 3.792 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.792 * [backup-simplify]: Simplify (* 1 -1) into -1 3.792 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (- 0) into 0 3.794 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.795 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.798 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (sqrt 1.0) -1)) into 0 3.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.799 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.800 * [backup-simplify]: Simplify (- 0) into 0 3.800 * [backup-simplify]: Simplify (+ 0 0) into 0 3.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.801 * [backup-simplify]: Simplify (+ 0 0) into 0 3.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) (sqrt 1.0)) (* 0 -1))) into (pow (sqrt 1.0) 2) 3.809 * [backup-simplify]: Simplify (/ (- (pow (sqrt 1.0) 2) (pow 0 2) (+)) (* 2 (sqrt -1))) into (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))) 3.811 * [backup-simplify]: Simplify (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))) into (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))) 3.813 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.814 * [backup-simplify]: Simplify (- 0) into 0 3.814 * [backup-simplify]: Simplify (+ 0 0) into 0 3.815 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.816 * [backup-simplify]: Simplify (+ 0 0) into 0 3.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 (sqrt 1.0)) (* 0 -1)))) into 0 3.821 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))))))) (* 2 (sqrt -1))) into 0 3.821 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.824 * [backup-simplify]: Simplify (- 0) into 0 3.824 * [backup-simplify]: Simplify (+ 0 0) into 0 3.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.826 * [backup-simplify]: Simplify (+ 0 0) into 0 3.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 -1))))) into 0 3.837 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (* -1/8 (/ (pow (sqrt 1.0) 4) (pow (sqrt -1) 3))) 3.841 * [backup-simplify]: Simplify (* -1/8 (/ (pow (sqrt 1.0) 4) (pow (sqrt -1) 3))) into (* -1/8 (/ (pow (sqrt 1.0) 4) (pow (sqrt -1) 3))) 3.848 * [backup-simplify]: Simplify (+ (* (* -1/8 (/ (pow (sqrt 1.0) 4) (pow (sqrt -1) 3))) (pow (/ 1 (- x)) 3)) (+ (* (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ (pow (sqrt 1.0) 4) (* (pow (sqrt -1) 3) (pow x 3)))) (+ (* 1/2 (/ (pow (sqrt 1.0) 2) (* (sqrt -1) x))) (* x (sqrt -1)))) 3.848 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 3.848 * [backup-simplify]: Simplify (sqrt (- (sqrt 1.0) x)) into (sqrt (- (sqrt 1.0) x)) 3.849 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in (x) around 0 3.849 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in x 3.849 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 3.849 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.849 * [taylor]: Taking taylor expansion of 1.0 in x 3.849 * [backup-simplify]: Simplify 1.0 into 1.0 3.849 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.850 * [taylor]: Taking taylor expansion of x in x 3.850 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify 1 into 1 3.850 * [backup-simplify]: Simplify (- 0) into 0 3.851 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.852 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 3.852 * [backup-simplify]: Simplify (- 1) into -1 3.852 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.854 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (sqrt 1.0)))) into (* -1/2 (sqrt (/ 1 (sqrt 1.0)))) 3.854 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in x 3.854 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 3.855 * [taylor]: Taking taylor expansion of (sqrt 1.0) 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 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.856 * [taylor]: Taking taylor expansion of x in x 3.856 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify 1 into 1 3.856 * [backup-simplify]: Simplify (- 0) into 0 3.857 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.857 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 3.858 * [backup-simplify]: Simplify (- 1) into -1 3.858 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.860 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (sqrt 1.0)))) into (* -1/2 (sqrt (/ 1 (sqrt 1.0)))) 3.861 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 3.863 * [backup-simplify]: Simplify (* -1/2 (sqrt (/ 1 (sqrt 1.0)))) into (* -1/2 (sqrt (/ 1 (sqrt 1.0)))) 3.864 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.864 * [backup-simplify]: Simplify (- 0) into 0 3.865 * [backup-simplify]: Simplify (+ 0 0) into 0 3.872 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (sqrt (/ 1 (sqrt 1.0)))) 2) (+)) (* 2 (sqrt (sqrt 1.0)))) into (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) 3.875 * [backup-simplify]: Simplify (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) into (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) 3.881 * [backup-simplify]: Simplify (+ (* (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (pow x 2)) (+ (* (* -1/2 (sqrt (/ 1 (sqrt 1.0)))) x) (sqrt (sqrt 1.0)))) into (- (sqrt (sqrt 1.0)) (+ (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) x)) (* 1/8 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (pow x 2))))) 3.881 * [backup-simplify]: Simplify (sqrt (- (sqrt 1.0) (/ 1 x))) into (sqrt (- (sqrt 1.0) (/ 1 x))) 3.881 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 3.881 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 3.881 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.881 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.881 * [taylor]: Taking taylor expansion of 1.0 in x 3.881 * [backup-simplify]: Simplify 1.0 into 1.0 3.882 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.882 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.882 * [taylor]: Taking taylor expansion of x in x 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify 1 into 1 3.883 * [backup-simplify]: Simplify (/ 1 1) into 1 3.883 * [backup-simplify]: Simplify (- 1) into -1 3.883 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.883 * [backup-simplify]: Simplify (sqrt 0) into 0 3.885 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.885 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 3.885 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.885 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.885 * [taylor]: Taking taylor expansion of 1.0 in x 3.885 * [backup-simplify]: Simplify 1.0 into 1.0 3.885 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.886 * [taylor]: Taking taylor expansion of x in x 3.886 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify 1 into 1 3.886 * [backup-simplify]: Simplify (/ 1 1) into 1 3.887 * [backup-simplify]: Simplify (- 1) into -1 3.887 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.887 * [backup-simplify]: Simplify (sqrt 0) into 0 3.889 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.890 * [backup-simplify]: Simplify (- 0) into 0 3.891 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.894 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 3.895 * [backup-simplify]: Simplify (* +nan.0 (- (sqrt 1.0) +nan.0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.897 * [backup-simplify]: Simplify (- 0) into 0 3.897 * [backup-simplify]: Simplify (+ 0 0) into 0 3.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.906 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.910 * [backup-simplify]: Simplify (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (pow (/ 1 x) 2)) (+ (* (* +nan.0 (- (sqrt 1.0) +nan.0)) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ +nan.0 (- (* +nan.0 (/ (sqrt 1.0) x))))))))))) 3.911 * [backup-simplify]: Simplify (sqrt (- (sqrt 1.0) (/ 1 (- x)))) into (sqrt (+ (sqrt 1.0) (/ 1 x))) 3.911 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 3.911 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 3.911 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.911 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.911 * [taylor]: Taking taylor expansion of 1.0 in x 3.911 * [backup-simplify]: Simplify 1.0 into 1.0 3.911 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.912 * [taylor]: Taking taylor expansion of x in x 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify 1 into 1 3.913 * [backup-simplify]: Simplify (/ 1 1) into 1 3.913 * [backup-simplify]: Simplify (+ 0 1) into 1 3.913 * [backup-simplify]: Simplify (sqrt 0) into 0 3.914 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.914 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 3.914 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.915 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.915 * [taylor]: Taking taylor expansion of 1.0 in x 3.915 * [backup-simplify]: Simplify 1.0 into 1.0 3.915 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.916 * [taylor]: Taking taylor expansion of x in x 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify 1 into 1 3.916 * [backup-simplify]: Simplify (/ 1 1) into 1 3.916 * [backup-simplify]: Simplify (+ 0 1) into 1 3.917 * [backup-simplify]: Simplify (sqrt 0) into 0 3.918 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.920 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.923 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 3.924 * [backup-simplify]: Simplify (* +nan.0 (- (sqrt 1.0) +nan.0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 3.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.925 * [backup-simplify]: Simplify (+ 0 0) into 0 3.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.935 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.941 * [backup-simplify]: Simplify (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (* +nan.0 (- (sqrt 1.0) +nan.0)) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ +nan.0 (- (* +nan.0 (/ (sqrt 1.0) x))))))))))) 3.941 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 3.942 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1.0) x)) into (sqrt (+ (sqrt 1.0) x)) 3.942 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) x)) in (x) around 0 3.942 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) x)) in x 3.942 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 3.942 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.942 * [taylor]: Taking taylor expansion of 1.0 in x 3.942 * [backup-simplify]: Simplify 1.0 into 1.0 3.942 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.943 * [taylor]: Taking taylor expansion of x in x 3.943 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify 1 into 1 3.944 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.944 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 3.945 * [backup-simplify]: Simplify (+ 0 1) into 1 3.947 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 3.947 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) x)) in x 3.947 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 3.947 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.947 * [taylor]: Taking taylor expansion of 1.0 in x 3.947 * [backup-simplify]: Simplify 1.0 into 1.0 3.947 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.948 * [taylor]: Taking taylor expansion of x in x 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify 1 into 1 3.949 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.949 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 3.950 * [backup-simplify]: Simplify (+ 0 1) into 1 3.952 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 3.953 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 3.955 * [backup-simplify]: Simplify (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 3.956 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.956 * [backup-simplify]: Simplify (+ 0 0) into 0 3.964 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 2) (+)) (* 2 (sqrt (sqrt 1.0)))) into (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) 3.968 * [backup-simplify]: Simplify (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) into (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) 3.974 * [backup-simplify]: Simplify (+ (* (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (pow x 2)) (+ (* (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) x) (sqrt (sqrt 1.0)))) into (- (+ (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) x)) (sqrt (sqrt 1.0))) (* 1/8 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (pow x 2)))) 3.975 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1.0) (/ 1 x))) into (sqrt (+ (sqrt 1.0) (/ 1 x))) 3.975 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 3.975 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 3.975 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.975 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.975 * [taylor]: Taking taylor expansion of 1.0 in x 3.975 * [backup-simplify]: Simplify 1.0 into 1.0 3.975 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.975 * [taylor]: Taking taylor expansion of x in x 3.975 * [backup-simplify]: Simplify 0 into 0 3.975 * [backup-simplify]: Simplify 1 into 1 3.976 * [backup-simplify]: Simplify (/ 1 1) into 1 3.976 * [backup-simplify]: Simplify (+ 0 1) into 1 3.976 * [backup-simplify]: Simplify (sqrt 0) into 0 3.977 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.977 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 3.977 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.977 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.977 * [taylor]: Taking taylor expansion of 1.0 in x 3.977 * [backup-simplify]: Simplify 1.0 into 1.0 3.977 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.978 * [taylor]: Taking taylor expansion of x in x 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [backup-simplify]: Simplify (/ 1 1) into 1 3.978 * [backup-simplify]: Simplify (+ 0 1) into 1 3.979 * [backup-simplify]: Simplify (sqrt 0) into 0 3.979 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.983 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 3.984 * [backup-simplify]: Simplify (* +nan.0 (- (sqrt 1.0) +nan.0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 3.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.984 * [backup-simplify]: Simplify (+ 0 0) into 0 3.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.991 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.993 * [backup-simplify]: Simplify (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (pow (/ 1 x) 2)) (+ (* (* +nan.0 (- (sqrt 1.0) +nan.0)) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ +nan.0 (- (* +nan.0 (/ (sqrt 1.0) x))))))))))) 3.994 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1.0) (/ 1 (- x)))) into (sqrt (- (sqrt 1.0) (/ 1 x))) 3.994 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 3.994 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 3.994 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.994 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.994 * [taylor]: Taking taylor expansion of 1.0 in x 3.994 * [backup-simplify]: Simplify 1.0 into 1.0 3.994 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.994 * [taylor]: Taking taylor expansion of x in x 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 1 into 1 3.995 * [backup-simplify]: Simplify (/ 1 1) into 1 3.995 * [backup-simplify]: Simplify (- 1) into -1 3.995 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.995 * [backup-simplify]: Simplify (sqrt 0) into 0 3.996 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.996 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 3.996 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.996 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.996 * [taylor]: Taking taylor expansion of 1.0 in x 3.996 * [backup-simplify]: Simplify 1.0 into 1.0 3.997 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.997 * [taylor]: Taking taylor expansion of x in x 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 1 into 1 3.997 * [backup-simplify]: Simplify (/ 1 1) into 1 3.997 * [backup-simplify]: Simplify (- 1) into -1 3.998 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.998 * [backup-simplify]: Simplify (sqrt 0) into 0 3.999 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.000 * [backup-simplify]: Simplify (- 0) into 0 4.000 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.002 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 4.004 * [backup-simplify]: Simplify (* +nan.0 (- (sqrt 1.0) +nan.0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.005 * [backup-simplify]: Simplify (- 0) into 0 4.005 * [backup-simplify]: Simplify (+ 0 0) into 0 4.009 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.011 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.014 * [backup-simplify]: Simplify (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (* +nan.0 (- (sqrt 1.0) +nan.0)) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ +nan.0 (- (* +nan.0 (/ (sqrt 1.0) x))))))))))) 4.014 * * * [progress]: simplifying candidates 4.014 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 11 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 12 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 16 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 4.014 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 22 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 24 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 27 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 31 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 32 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 33 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 36 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 42 / 88 ] simplifiying candidate #real (real->posit16 (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))))))> 4.015 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 4.015 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 47 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 48 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 53 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 54 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 62 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (- (sqrt 1.0) x)))) (sqrt (+ (sqrt 1.0) x))))> 4.016 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 4.016 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 4.017 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 4.017 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 4.017 * * * * [progress]: [ 75 / 88 ] simplifiying candidate # 4.017 * * * * [progress]: [ 76 / 88 ] simplifiying candidate # 4.017 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 4.017 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 4.017 * * * * [progress]: [ 79 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (+ (sqrt 1.0) x))))))> 4.017 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 4.017 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 4.017 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 4.017 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 4.017 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 4.017 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 4.017 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 4.017 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 4.017 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 4.018 * [simplify]: Simplifying: (* (- (sqrt 1.0) x) (+ (sqrt 1.0) x)) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (* (- (sqrt 1.0) x) (+ (sqrt 1.0) x)) (+ (log (sqrt (- (sqrt 1.0) x))) (log (sqrt (+ (sqrt 1.0) x)))) (log (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x)))) (exp (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x)))) (* (* (* (sqrt (- (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (* (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (sqrt (+ (sqrt 1.0) x)))) (* (cbrt (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x)))) (cbrt (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))))) (cbrt (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x)))) (* (* (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x)))) (* (- (sqrt 1.0) x) (+ (sqrt 1.0) x)) (sqrt (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x)))) (sqrt (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (- (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3)))) (* (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x)))) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x))))) (* (sqrt (- (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)))) (* (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x)))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x))))) (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (- (sqrt 1.0) x)) (* (cbrt (sqrt (+ (sqrt 1.0) x))) (cbrt (sqrt (+ (sqrt 1.0) x))))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (* (cbrt (+ (sqrt 1.0) x)) (cbrt (+ (sqrt 1.0) x))))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (- (sqrt 1.0) x)) (sqrt 1)) (* (sqrt (- (sqrt 1.0) x)) (sqrt 1)) (* (sqrt (- (sqrt 1.0) x)) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (- (sqrt 1.0) x)) 1) (* (cbrt (sqrt (- (sqrt 1.0) x))) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (cbrt (- (sqrt 1.0) x))) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (- (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (- (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3)))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)))) (* (sqrt (- (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (+ (sqrt 1.0) x))) (real->posit16 (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x)))) (log (sqrt (- (sqrt 1.0) x))) (exp (sqrt (- (sqrt 1.0) x))) (* (cbrt (sqrt (- (sqrt 1.0) x))) (cbrt (sqrt (- (sqrt 1.0) x)))) (cbrt (sqrt (- (sqrt 1.0) x))) (* (* (sqrt (- (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (sqrt (* (cbrt (- (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)))) (sqrt (cbrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt 1) (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (- (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (- (sqrt (sqrt 1.0)) (sqrt x))) (sqrt 1) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x)))) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (+ (sqrt 1.0) x)) (/ 1 2) (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) (real->posit16 (sqrt (- (sqrt 1.0) x))) (log (sqrt (+ (sqrt 1.0) x))) (exp (sqrt (+ (sqrt 1.0) x))) (* (cbrt (sqrt (+ (sqrt 1.0) x))) (cbrt (sqrt (+ (sqrt 1.0) x)))) (cbrt (sqrt (+ (sqrt 1.0) x))) (* (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (sqrt (+ (sqrt 1.0) x))) (sqrt (* (cbrt (+ (sqrt 1.0) x)) (cbrt (+ (sqrt 1.0) x)))) (sqrt (cbrt (+ (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt 1) (sqrt (+ (sqrt 1.0) x)) (sqrt 1) (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x)))) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (sqrt 1.0) x)) (/ 1 2) (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x))) (real->posit16 (sqrt (+ (sqrt 1.0) x))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 1/2 (/ (pow (sqrt 1.0) 2) (* (sqrt -1) x))) (* x (sqrt -1))) (* 1/8 (/ (pow (sqrt 1.0) 4) (* (pow (sqrt -1) 3) (pow x 3))))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (* (pow (sqrt -1) 3) (pow x 3)))) (+ (* 1/2 (/ (pow (sqrt 1.0) 2) (* (sqrt -1) x))) (* x (sqrt -1)))) (- (sqrt (sqrt 1.0)) (+ (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) x)) (* 1/8 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (pow x 2))))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ +nan.0 (- (* +nan.0 (/ (sqrt 1.0) x))))))))))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ +nan.0 (- (* +nan.0 (/ (sqrt 1.0) x))))))))))) (- (+ (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) x)) (sqrt (sqrt 1.0))) (* 1/8 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (pow x 2)))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ +nan.0 (- (* +nan.0 (/ (sqrt 1.0) x))))))))))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ +nan.0 (- (* +nan.0 (/ (sqrt 1.0) x))))))))))) 4.019 * * [simplify]: iteration 0: 149 enodes 4.054 * * [simplify]: iteration 1: 337 enodes 4.176 * * [simplify]: iteration 2: 924 enodes 4.593 * * [simplify]: iteration 3: 3280 enodes 5.325 * * [simplify]: iteration complete: 5081 enodes 5.326 * * [simplify]: Extracting #0: cost 62 inf + 0 5.326 * * [simplify]: Extracting #1: cost 218 inf + 2 5.330 * * [simplify]: Extracting #2: cost 916 inf + 7 5.342 * * [simplify]: Extracting #3: cost 1907 inf + 6641 5.373 * * [simplify]: Extracting #4: cost 1133 inf + 125584 5.450 * * [simplify]: Extracting #5: cost 238 inf + 338091 5.529 * * [simplify]: Extracting #6: cost 7 inf + 408625 5.608 * * [simplify]: Extracting #7: cost 0 inf + 411050 5.711 * [simplify]: Simplified to: (- 1.0 (* x x)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (- 1.0 (* x x)) (log (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (log (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (* (* (sqrt (- (sqrt 1.0) x)) (- (sqrt 1.0) x)) (* (sqrt (+ (sqrt 1.0) x)) (+ (sqrt 1.0) x))) (* (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))))) (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (* (* (sqrt (- (sqrt 1.0) x)) (- (sqrt 1.0) x)) (* (sqrt (+ (sqrt 1.0) x)) (+ (sqrt 1.0) x))) (- 1.0 (* x x)) (sqrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (sqrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (* (sqrt (- (* 1.0 (sqrt 1.0)) (* (* x x) x))) (sqrt (+ (* 1.0 (sqrt 1.0)) (* (* x x) x)))) (* (sqrt (+ 1.0 (* x (- x (sqrt 1.0))))) (sqrt (+ 1.0 (* x (+ x (sqrt 1.0)))))) (* (sqrt (- (* 1.0 (sqrt 1.0)) (* (* x x) x))) (sqrt (- 1.0 (* x x)))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ 1.0 (* x (+ x (sqrt 1.0)))))) (* (sqrt (+ (* 1.0 (sqrt 1.0)) (* (* x x) x))) (sqrt (- 1.0 (* x x)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ 1.0 (* x (- x (sqrt 1.0)))))) (- 1.0 (* x x)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 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(real->posit16 (sqrt (+ (sqrt 1.0) x))) (- (- (sqrt 1.0) (* (/ (* (* x x) (* x x)) 1.0) (/ 1/8 (sqrt 1.0)))) (/ (* (* x x) 1/2) (sqrt 1.0))) (- (+ (/ (/ (* 1/2 1.0) x) (sqrt -1)) (* x (sqrt -1))) (/ (/ (* (/ (* 1.0 1.0) (sqrt -1)) -1/8) x) (* x x))) (- (- (/ (/ (* (/ (* 1.0 1.0) (sqrt -1)) -1/8) x) (* x x)) (/ (/ (* 1/2 1.0) x) (sqrt -1))) (* x (sqrt -1))) (- (sqrt (sqrt 1.0)) (* x (+ (* (sqrt (/ (/ 1 (sqrt 1.0)) 1.0)) (* 1/8 x)) (* 1/2 (sqrt (/ 1 (sqrt 1.0))))))) (- (+ (+ (* (/ (sqrt 1.0) x) +nan.0) (- (* (/ (sqrt 1.0) (* x x)) +nan.0) +nan.0)) (- (/ +nan.0 x) (/ +nan.0 (* x x))))) (- (+ (+ (* (/ (sqrt 1.0) x) +nan.0) (- (* (/ (sqrt 1.0) (* x x)) +nan.0) +nan.0)) (- (/ +nan.0 x) (/ +nan.0 (* x x))))) (+ (* x (- (* (sqrt (/ 1 (sqrt 1.0))) 1/2) (* (sqrt (/ (/ 1 (sqrt 1.0)) 1.0)) (* 1/8 x)))) (sqrt (sqrt 1.0))) (- (+ (+ (* (/ (sqrt 1.0) x) +nan.0) (- (* (/ (sqrt 1.0) (* x x)) +nan.0) +nan.0)) (- (/ +nan.0 x) (/ +nan.0 (* x x))))) (- (+ (+ (* (/ (sqrt 1.0) x) +nan.0) (- (* (/ (sqrt 1.0) (* x x)) +nan.0) +nan.0)) (- (/ +nan.0 x) (/ +nan.0 (* x x))))) 5.719 * * * [progress]: adding candidates to table 6.115 * [progress]: [Phase 3 of 3] Extracting. 6.115 * * [regime]: Finding splitpoints for: (# #) 6.115 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 6.115 * * * * [regimes]: Trying to branch on (* x x) from (# #) 6.144 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 6.160 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 6.184 * * * * [regimes]: Trying to branch on x from (# #) 6.216 * * * [regime]: Found split indices: #