13.935 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.043 * [simplify]: Simplifying: (sqrt (- 1.0 (* x x))) 0.044 * * [simplify]: iteration 0: 5 enodes 0.045 * * [simplify]: iteration 1: 7 enodes 0.048 * * [simplify]: iteration 2: 11 enodes 0.051 * * [simplify]: iteration complete: 11 enodes 0.051 * * [simplify]: Extracting #0: cost 1 inf + 0 0.051 * * [simplify]: Extracting #1: cost 2 inf + 0 0.051 * * [simplify]: Extracting #2: cost 5 inf + 0 0.052 * * [simplify]: Extracting #3: cost 6 inf + 1 0.052 * * [simplify]: Extracting #4: cost 0 inf + 369 0.052 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.057 * * * [progress]: localizing error 0.073 * * * [progress]: generating rewritten candidates 0.073 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.083 * * * [progress]: generating series expansions 0.083 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.083 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.083 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.083 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.083 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [backup-simplify]: Simplify 1.0 into 1.0 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.084 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.086 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.086 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [backup-simplify]: Simplify 1.0 into 1.0 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.087 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.088 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (* 1 1) into 1 0.089 * [backup-simplify]: Simplify (- 1) into -1 0.089 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.092 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.093 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [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)) 0.104 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.106 * [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))))) 0.106 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.106 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.106 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [backup-simplify]: Simplify 1.0 into 1.0 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [backup-simplify]: Simplify (- 1) into -1 0.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.108 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.110 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.110 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [backup-simplify]: Simplify 1.0 into 1.0 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [backup-simplify]: Simplify (- 1) into -1 0.111 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.111 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.113 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.117 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.117 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.126 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.128 * [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))))) 0.128 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.128 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.128 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.128 * [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 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [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 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- 0) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.131 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [backup-simplify]: Simplify 1.0 into 1.0 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify (- 1) into -1 0.132 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.133 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.135 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.142 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.142 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.164 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.167 * [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)))))) 0.167 * * * [progress]: simplifying candidates 0.167 * * * * [progress]: [ 1 / 20 ] simplifiying candidate # 0.167 * * * * [progress]: [ 2 / 20 ] simplifiying candidate # 0.167 * * * * [progress]: [ 3 / 20 ] simplifiying candidate # 0.167 * * * * [progress]: [ 4 / 20 ] simplifiying candidate # 0.167 * * * * [progress]: [ 5 / 20 ] simplifiying candidate # 0.167 * * * * [progress]: [ 6 / 20 ] simplifiying candidate # 0.167 * * * * [progress]: [ 7 / 20 ] simplifiying candidate # 0.167 * * * * [progress]: [ 8 / 20 ] simplifiying candidate # 0.167 * * * * [progress]: [ 9 / 20 ] simplifiying candidate # 0.167 * * * * [progress]: [ 10 / 20 ] simplifiying candidate # 0.167 * * * * [progress]: [ 11 / 20 ] simplifiying candidate # 0.167 * * * * [progress]: [ 12 / 20 ] simplifiying candidate # 0.167 * * * * [progress]: [ 13 / 20 ] simplifiying candidate # 0.168 * * * * [progress]: [ 14 / 20 ] simplifiying candidate # 0.168 * * * * [progress]: [ 15 / 20 ] simplifiying candidate # 0.168 * * * * [progress]: [ 16 / 20 ] simplifiying candidate # 0.168 * * * * [progress]: [ 17 / 20 ] simplifiying candidate #real (real->posit16 (sqrt (- 1.0 (* x x))))))> 0.168 * * * * [progress]: [ 18 / 20 ] simplifiying candidate # 0.168 * * * * [progress]: [ 19 / 20 ] simplifiying candidate # 0.168 * * * * [progress]: [ 20 / 20 ] simplifiying candidate # 0.168 * [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)))))) 0.169 * * [simplify]: iteration 0: 68 enodes 0.189 * * [simplify]: iteration 1: 155 enodes 0.268 * * [simplify]: iteration 2: 446 enodes 0.546 * * [simplify]: iteration 3: 1892 enodes 1.144 * * [simplify]: iteration complete: 5001 enodes 1.144 * * [simplify]: Extracting #0: cost 21 inf + 0 1.144 * * [simplify]: Extracting #1: cost 56 inf + 2 1.145 * * [simplify]: Extracting #2: cost 572 inf + 3 1.150 * * [simplify]: Extracting #3: cost 1301 inf + 6799 1.168 * * [simplify]: Extracting #4: cost 951 inf + 81783 1.209 * * [simplify]: Extracting #5: cost 259 inf + 258714 1.275 * * [simplify]: Extracting #6: cost 97 inf + 330343 1.342 * * [simplify]: Extracting #7: cost 17 inf + 345953 1.415 * * [simplify]: Extracting #8: cost 0 inf + 350614 1.477 * [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))))) 1.478 * * * [progress]: adding candidates to table 1.539 * * [progress]: iteration 2 / 4 1.539 * * * [progress]: picking best candidate 1.541 * * * * [pick]: Picked # 1.541 * * * [progress]: localizing error 1.567 * * * [progress]: generating rewritten candidates 1.567 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 2) 1.628 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.671 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.691 * * * [progress]: generating series expansions 1.691 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 2) 1.691 * [backup-simplify]: Simplify (* (* x x) (* x x)) into (pow x 4) 1.691 * [approximate]: Taking taylor expansion of (pow x 4) in (x) around 0 1.691 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.691 * [taylor]: Taking taylor expansion of x in x 1.691 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.692 * [taylor]: Taking taylor expansion of x in x 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.693 * [backup-simplify]: Simplify (* 1 1) into 1 1.693 * [backup-simplify]: Simplify (* 1 1) into 1 1.693 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.694 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.696 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.704 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify (* 1 (pow x 4)) into (pow x 4) 1.708 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) into (/ 1 (pow x 4)) 1.708 * [approximate]: Taking taylor expansion of (/ 1 (pow x 4)) in (x) around 0 1.708 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.708 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify (* 1 1) into 1 1.708 * [backup-simplify]: Simplify (* 1 1) into 1 1.709 * [backup-simplify]: Simplify (/ 1 1) into 1 1.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.709 * [taylor]: Taking taylor expansion of (pow x 4) 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 1.710 * [backup-simplify]: Simplify (* 1 1) into 1 1.710 * [backup-simplify]: Simplify (/ 1 1) into 1 1.710 * [backup-simplify]: Simplify 1 into 1 1.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.715 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.718 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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 1.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.725 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 x)) 4)) into (pow x 4) 1.729 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ 1 (pow x 4)) 1.729 * [approximate]: Taking taylor expansion of (/ 1 (pow x 4)) in (x) around 0 1.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.729 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.729 * [taylor]: Taking taylor expansion of x in x 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (* 1 1) into 1 1.730 * [backup-simplify]: Simplify (* 1 1) into 1 1.731 * [backup-simplify]: Simplify (/ 1 1) into 1 1.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.731 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 1 into 1 1.731 * [backup-simplify]: Simplify (* 1 1) into 1 1.732 * [backup-simplify]: Simplify (* 1 1) into 1 1.732 * [backup-simplify]: Simplify (/ 1 1) into 1 1.732 * [backup-simplify]: Simplify 1 into 1 1.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.734 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 (- x))) 4)) into (pow x 4) 1.748 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.749 * [backup-simplify]: Simplify (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x)))) into (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) 1.749 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in (x) around 0 1.749 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 1.749 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 1.749 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 1.749 * [taylor]: Taking taylor expansion of 1.0 in x 1.749 * [backup-simplify]: Simplify 1.0 into 1.0 1.749 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.749 * [taylor]: Taking taylor expansion of x in x 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.749 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.749 * [taylor]: Taking taylor expansion of x in x 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [taylor]: Taking taylor expansion of 1.0 in x 1.749 * [backup-simplify]: Simplify 1.0 into 1.0 1.749 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.750 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.750 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.750 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.751 * [backup-simplify]: Simplify (+ 0 0) into 0 1.751 * [backup-simplify]: Simplify (+ 0 0) into 0 1.751 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 1.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.752 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 1.752 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 1.752 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 1.752 * [taylor]: Taking taylor expansion of 1.0 in x 1.752 * [backup-simplify]: Simplify 1.0 into 1.0 1.752 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [taylor]: Taking taylor expansion of 1.0 in x 1.752 * [backup-simplify]: Simplify 1.0 into 1.0 1.752 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.753 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.753 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.753 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.753 * [backup-simplify]: Simplify (+ 0 0) into 0 1.753 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 1.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.755 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [backup-simplify]: Simplify (* 1 1) into 1 1.755 * [backup-simplify]: Simplify (+ 1 0) into 1 1.758 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 1 1.0)) (* 0 (/ 0 1.0)))) into (- 1.0) 1.760 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.5 (sqrt 1.0)) 1.761 * [backup-simplify]: Simplify (/ -0.5 (sqrt 1.0)) into (/ -0.5 (sqrt 1.0)) 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.762 * [backup-simplify]: Simplify (+ 0 0) into 0 1.763 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 1 1.0)) (* (- 1.0) (/ 0 1.0)))) into 0 1.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.5 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify (* 1 1) into 1 1.764 * [backup-simplify]: Simplify (* 1 1) into 1 1.764 * [backup-simplify]: Simplify (- 1) into -1 1.765 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.765 * [backup-simplify]: Simplify (+ 0 0) into 0 1.769 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)) (* 0 (/ 0 1.0)))) into 0 1.773 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -0.5 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -0.125 (pow (sqrt 1.0) 3)) 1.774 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt 1.0) 3)) into (/ -0.125 (pow (sqrt 1.0) 3)) 1.776 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -0.5 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) 1.777 * [backup-simplify]: Simplify (/ (sqrt (- (* 1.0 1.0) (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))))) (sqrt (+ 1.0 (* (/ 1 x) (/ 1 x))))) into (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) 1.777 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 1.777 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 1.777 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 1.777 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.777 * [taylor]: Taking taylor expansion of 1.0 in x 1.777 * [backup-simplify]: Simplify 1.0 into 1.0 1.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.777 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.777 * [taylor]: Taking taylor expansion of x in x 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.777 * [backup-simplify]: Simplify (* 1 1) into 1 1.777 * [backup-simplify]: Simplify (* 1 1) into 1 1.778 * [backup-simplify]: Simplify (/ 1 1) into 1 1.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.778 * [taylor]: Taking taylor expansion of x in x 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (* 1 1) into 1 1.779 * [backup-simplify]: Simplify (/ 1 1) into 1 1.779 * [taylor]: Taking taylor expansion of 1.0 in x 1.779 * [backup-simplify]: Simplify 1.0 into 1.0 1.779 * [backup-simplify]: Simplify (- 1) into -1 1.780 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.780 * [backup-simplify]: Simplify (+ 1 0) into 1 1.781 * [backup-simplify]: Simplify (/ -1 1) into -1 1.781 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.783 * [backup-simplify]: Simplify (- 0) into 0 1.784 * [backup-simplify]: Simplify (+ 0 0) into 0 1.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (+ 0 0) into 0 1.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.787 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 1.787 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 1.787 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.787 * [taylor]: Taking taylor expansion of 1.0 in x 1.788 * [backup-simplify]: Simplify 1.0 into 1.0 1.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.788 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.788 * [taylor]: Taking taylor expansion of x in x 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 1 into 1 1.788 * [backup-simplify]: Simplify (* 1 1) into 1 1.788 * [backup-simplify]: Simplify (* 1 1) into 1 1.789 * [backup-simplify]: Simplify (/ 1 1) into 1 1.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.789 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify (* 1 1) into 1 1.790 * [backup-simplify]: Simplify (/ 1 1) into 1 1.790 * [taylor]: Taking taylor expansion of 1.0 in x 1.790 * [backup-simplify]: Simplify 1.0 into 1.0 1.790 * [backup-simplify]: Simplify (- 1) into -1 1.791 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.791 * [backup-simplify]: Simplify (+ 1 0) into 1 1.792 * [backup-simplify]: Simplify (/ -1 1) into -1 1.792 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.795 * [backup-simplify]: Simplify (- 0) into 0 1.795 * [backup-simplify]: Simplify (+ 0 0) into 0 1.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.797 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.799 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.799 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (- 0) into 0 1.803 * [backup-simplify]: Simplify (+ 0 0) into 0 1.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 1.0 1)) (* 0 (/ 0 1)))) into 1.0 1.813 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.814 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.817 * [backup-simplify]: Simplify (- 0) into 0 1.818 * [backup-simplify]: Simplify (+ 0 0) into 0 1.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.820 * [backup-simplify]: Simplify (+ 0 0) into 0 1.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 1.0 1)) (* 1.0 (/ 0 1)))) into 0 1.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.823 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.827 * [backup-simplify]: Simplify (- 0) into 0 1.828 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.830 * [backup-simplify]: Simplify (+ 0 0) into 0 1.835 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 1.839 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.840 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.842 * [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))))) 1.843 * [backup-simplify]: Simplify (/ (sqrt (- (* 1.0 1.0) (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))))) (sqrt (+ 1.0 (* (/ 1 (- x)) (/ 1 (- x)))))) into (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) 1.843 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 1.843 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 1.843 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 1.843 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.843 * [taylor]: Taking taylor expansion of 1.0 in x 1.843 * [backup-simplify]: Simplify 1.0 into 1.0 1.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.843 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.843 * [taylor]: Taking taylor expansion of x in x 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (* 1 1) into 1 1.843 * [backup-simplify]: Simplify (* 1 1) into 1 1.844 * [backup-simplify]: Simplify (/ 1 1) into 1 1.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.844 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.844 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.844 * [backup-simplify]: Simplify (* 1 1) into 1 1.844 * [backup-simplify]: Simplify (/ 1 1) into 1 1.844 * [taylor]: Taking taylor expansion of 1.0 in x 1.844 * [backup-simplify]: Simplify 1.0 into 1.0 1.845 * [backup-simplify]: Simplify (- 1) into -1 1.845 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.845 * [backup-simplify]: Simplify (+ 1 0) into 1 1.845 * [backup-simplify]: Simplify (/ -1 1) into -1 1.846 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.848 * [backup-simplify]: Simplify (- 0) into 0 1.848 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.850 * [backup-simplify]: Simplify (+ 0 0) into 0 1.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.854 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 1.854 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 1.854 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.854 * [taylor]: Taking taylor expansion of 1.0 in x 1.854 * [backup-simplify]: Simplify 1.0 into 1.0 1.854 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.854 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify (* 1 1) into 1 1.855 * [backup-simplify]: Simplify (* 1 1) into 1 1.855 * [backup-simplify]: Simplify (/ 1 1) into 1 1.855 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.855 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.855 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.855 * [taylor]: Taking taylor expansion of x in x 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (* 1 1) into 1 1.856 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [taylor]: Taking taylor expansion of 1.0 in x 1.856 * [backup-simplify]: Simplify 1.0 into 1.0 1.857 * [backup-simplify]: Simplify (- 1) into -1 1.857 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.858 * [backup-simplify]: Simplify (+ 1 0) into 1 1.858 * [backup-simplify]: Simplify (/ -1 1) into -1 1.858 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (- 0) into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.866 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.866 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.869 * [backup-simplify]: Simplify (- 0) into 0 1.870 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.872 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 1.0 1)) (* 0 (/ 0 1)))) into 1.0 1.880 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.881 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.885 * [backup-simplify]: Simplify (- 0) into 0 1.885 * [backup-simplify]: Simplify (+ 0 0) into 0 1.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (+ 0 0) into 0 1.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 1.0 1)) (* 1.0 (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.891 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (- 0) into 0 1.896 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.905 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 1.911 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.913 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.916 * [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)))))) 1.916 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.916 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* x x))) into (sqrt (+ (pow x 2) 1.0)) 1.917 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 1.917 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 1.917 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.917 * [taylor]: Taking taylor expansion of x in x 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [taylor]: Taking taylor expansion of 1.0 in x 1.917 * [backup-simplify]: Simplify 1.0 into 1.0 1.917 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.918 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.918 * [backup-simplify]: Simplify (+ 0 0) into 0 1.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.919 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 1.919 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 1 into 1 1.919 * [taylor]: Taking taylor expansion of 1.0 in x 1.919 * [backup-simplify]: Simplify 1.0 into 1.0 1.919 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.919 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.919 * [backup-simplify]: Simplify (+ 0 0) into 0 1.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.920 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify (* 1 1) into 1 1.921 * [backup-simplify]: Simplify (+ 1 0) into 1 1.922 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.923 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [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)) 1.930 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.932 * [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) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) 1.933 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (/ 1 (pow x 2)) 1.0)) 1.933 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.933 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.933 * [taylor]: Taking taylor expansion of x in x 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (* 1 1) into 1 1.933 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [taylor]: Taking taylor expansion of 1.0 in x 1.933 * [backup-simplify]: Simplify 1.0 into 1.0 1.934 * [backup-simplify]: Simplify (+ 1 0) into 1 1.934 * [backup-simplify]: Simplify (sqrt 1) into 1 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.935 * [taylor]: Taking taylor expansion of x in x 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (* 1 1) into 1 1.936 * [backup-simplify]: Simplify (/ 1 1) into 1 1.936 * [taylor]: Taking taylor expansion of 1.0 in x 1.936 * [backup-simplify]: Simplify 1.0 into 1.0 1.936 * [backup-simplify]: Simplify (+ 1 0) into 1 1.936 * [backup-simplify]: Simplify (sqrt 1) into 1 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.941 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.941 * [backup-simplify]: Simplify 0.5 into 0.5 1.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ 0 0) into 0 1.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.943 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.947 * [backup-simplify]: Simplify -0.125 into -0.125 1.947 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 x) 3)) (+ (* 0.5 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) 1.947 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (/ 1 (pow x 2)) 1.0)) 1.947 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.948 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.948 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (* 1 1) into 1 1.948 * [backup-simplify]: Simplify (/ 1 1) into 1 1.948 * [taylor]: Taking taylor expansion of 1.0 in x 1.948 * [backup-simplify]: Simplify 1.0 into 1.0 1.948 * [backup-simplify]: Simplify (+ 1 0) into 1 1.949 * [backup-simplify]: Simplify (sqrt 1) into 1 1.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.950 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.950 * [taylor]: Taking taylor expansion of x in x 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (* 1 1) into 1 1.951 * [backup-simplify]: Simplify (/ 1 1) into 1 1.951 * [taylor]: Taking taylor expansion of 1.0 in x 1.951 * [backup-simplify]: Simplify 1.0 into 1.0 1.951 * [backup-simplify]: Simplify (+ 1 0) into 1 1.951 * [backup-simplify]: Simplify (sqrt 1) into 1 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (+ 0 0) into 0 1.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.957 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.957 * [backup-simplify]: Simplify 0.5 into 0.5 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.968 * [backup-simplify]: Simplify -0.125 into -0.125 1.968 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* 0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 1.969 * * * [progress]: simplifying candidates 1.969 * * * * [progress]: [ 1 / 162 ] simplifiying candidate # 1.969 * * * * [progress]: [ 2 / 162 ] simplifiying candidate # 1.969 * * * * [progress]: [ 3 / 162 ] simplifiying candidate # 1.969 * * * * [progress]: [ 4 / 162 ] simplifiying candidate # 1.969 * * * * [progress]: [ 5 / 162 ] simplifiying candidate # 1.969 * * * * [progress]: [ 6 / 162 ] simplifiying candidate # 1.969 * * * * [progress]: [ 7 / 162 ] simplifiying candidate # 1.969 * * * * [progress]: [ 8 / 162 ] simplifiying candidate # 1.969 * * * * [progress]: [ 9 / 162 ] simplifiying candidate # 1.969 * * * * [progress]: [ 10 / 162 ] simplifiying candidate # 1.969 * * * * [progress]: [ 11 / 162 ] simplifiying candidate # 1.969 * * * * [progress]: [ 12 / 162 ] simplifiying candidate # 1.970 * * * * [progress]: [ 13 / 162 ] simplifiying candidate # 1.970 * * * * [progress]: [ 14 / 162 ] simplifiying candidate # 1.970 * * * * [progress]: [ 15 / 162 ] simplifiying candidate # 1.970 * * * * [progress]: [ 16 / 162 ] simplifiying candidate # 1.970 * * * * [progress]: [ 17 / 162 ] simplifiying candidate # 1.970 * * * * [progress]: [ 18 / 162 ] simplifiying candidate # 1.970 * * * * [progress]: [ 19 / 162 ] simplifiying candidate # 1.970 * * * * [progress]: [ 20 / 162 ] simplifiying candidate # 1.970 * * * * [progress]: [ 21 / 162 ] simplifiying candidate # 1.970 * * * * [progress]: [ 22 / 162 ] simplifiying candidate # 1.970 * * * * [progress]: [ 23 / 162 ] simplifiying candidate # 1.970 * * * * [progress]: [ 24 / 162 ] simplifiying candidate # 1.970 * * * * [progress]: [ 25 / 162 ] simplifiying candidate # 1.971 * * * * [progress]: [ 26 / 162 ] simplifiying candidate # 1.971 * * * * [progress]: [ 27 / 162 ] simplifiying candidate # 1.971 * * * * [progress]: [ 28 / 162 ] simplifiying candidate # 1.971 * * * * [progress]: [ 29 / 162 ] simplifiying candidate # 1.971 * * * * [progress]: [ 30 / 162 ] simplifiying candidate # 1.971 * * * * [progress]: [ 31 / 162 ] simplifiying candidate # 1.971 * * * * [progress]: [ 32 / 162 ] simplifiying candidate # 1.971 * * * * [progress]: [ 33 / 162 ] simplifiying candidate # 1.971 * * * * [progress]: [ 34 / 162 ] simplifiying candidate # 1.971 * * * * [progress]: [ 35 / 162 ] simplifiying candidate # 1.971 * * * * [progress]: [ 36 / 162 ] simplifiying candidate # 1.971 * * * * [progress]: [ 37 / 162 ] simplifiying candidate # 1.971 * * * * [progress]: [ 38 / 162 ] simplifiying candidate # 1.971 * * * * [progress]: [ 39 / 162 ] simplifiying candidate # 1.972 * * * * [progress]: [ 40 / 162 ] simplifiying candidate # 1.972 * * * * [progress]: [ 41 / 162 ] simplifiying candidate # 1.972 * * * * [progress]: [ 42 / 162 ] simplifiying candidate # 1.972 * * * * [progress]: [ 43 / 162 ] simplifiying candidate # 1.972 * * * * [progress]: [ 44 / 162 ] simplifiying candidate # 1.972 * * * * [progress]: [ 45 / 162 ] simplifiying candidate # 1.972 * * * * [progress]: [ 46 / 162 ] simplifiying candidate # 1.972 * * * * [progress]: [ 47 / 162 ] simplifiying candidate # 1.972 * * * * [progress]: [ 48 / 162 ] simplifiying candidate # 1.972 * * * * [progress]: [ 49 / 162 ] simplifiying candidate # 1.972 * * * * [progress]: [ 50 / 162 ] simplifiying candidate # 1.972 * * * * [progress]: [ 51 / 162 ] simplifiying candidate # 1.972 * * * * [progress]: [ 52 / 162 ] simplifiying candidate # 1.973 * * * * [progress]: [ 53 / 162 ] simplifiying candidate # 1.973 * * * * [progress]: [ 54 / 162 ] simplifiying candidate # 1.973 * * * * [progress]: [ 55 / 162 ] simplifiying candidate # 1.973 * * * * [progress]: [ 56 / 162 ] simplifiying candidate # 1.973 * * * * [progress]: [ 57 / 162 ] simplifiying candidate # 1.973 * * * * [progress]: [ 58 / 162 ] simplifiying candidate # 1.973 * * * * [progress]: [ 59 / 162 ] simplifiying candidate # 1.973 * * * * [progress]: [ 60 / 162 ] simplifiying candidate # 1.973 * * * * [progress]: [ 61 / 162 ] simplifiying candidate # 1.973 * * * * [progress]: [ 62 / 162 ] simplifiying candidate # 1.973 * * * * [progress]: [ 63 / 162 ] simplifiying candidate #real (real->posit16 (* (* x x) (* x x)))))) (sqrt (+ 1.0 (* x x)))))> 1.973 * * * * [progress]: [ 64 / 162 ] simplifiying candidate # 1.973 * * * * [progress]: [ 65 / 162 ] simplifiying candidate # 1.973 * * * * [progress]: [ 66 / 162 ] simplifiying candidate # 1.974 * * * * [progress]: [ 67 / 162 ] simplifiying candidate # 1.974 * * * * [progress]: [ 68 / 162 ] simplifiying candidate # 1.974 * * * * [progress]: [ 69 / 162 ] 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[progress]: [ 85 / 162 ] simplifiying candidate # 1.975 * * * * [progress]: [ 86 / 162 ] simplifiying candidate # 1.975 * * * * [progress]: [ 87 / 162 ] simplifiying candidate # 1.975 * * * * [progress]: [ 88 / 162 ] simplifiying candidate # 1.975 * * * * [progress]: [ 89 / 162 ] simplifiying candidate # 1.975 * * * * [progress]: [ 90 / 162 ] simplifiying candidate # 1.975 * * * * [progress]: [ 91 / 162 ] simplifiying candidate # 1.976 * * * * [progress]: [ 92 / 162 ] simplifiying candidate # 1.976 * * * * [progress]: [ 93 / 162 ] simplifiying candidate # 1.976 * * * * [progress]: [ 94 / 162 ] simplifiying candidate # 1.976 * * * * [progress]: [ 95 / 162 ] simplifiying candidate # 1.976 * * * * [progress]: [ 96 / 162 ] simplifiying candidate # 1.976 * * * * [progress]: [ 97 / 162 ] simplifiying candidate # 1.976 * * * * [progress]: [ 98 / 162 ] simplifiying candidate # 1.976 * * * * [progress]: [ 99 / 162 ] simplifiying candidate # 1.976 * * * * [progress]: [ 100 / 162 ] simplifiying candidate # 1.976 * * * * [progress]: [ 101 / 162 ] simplifiying candidate # 1.976 * * * * [progress]: [ 102 / 162 ] simplifiying candidate # 1.976 * * * * [progress]: [ 103 / 162 ] simplifiying candidate # 1.976 * * * * [progress]: [ 104 / 162 ] simplifiying candidate # 1.977 * * * * [progress]: [ 105 / 162 ] simplifiying candidate # 1.977 * * * * [progress]: [ 106 / 162 ] simplifiying candidate # 1.977 * * * * [progress]: [ 107 / 162 ] simplifiying candidate # 1.977 * * * * [progress]: [ 108 / 162 ] simplifiying candidate # 1.977 * * * * [progress]: [ 109 / 162 ] simplifiying candidate # 1.977 * * * * [progress]: [ 110 / 162 ] simplifiying candidate # 1.977 * * * * [progress]: [ 111 / 162 ] simplifiying candidate # 1.977 * * * * [progress]: [ 112 / 162 ] simplifiying candidate # 1.977 * * * * [progress]: [ 113 / 162 ] simplifiying candidate # 1.977 * * * * [progress]: [ 114 / 162 ] simplifiying candidate # 1.977 * * * * [progress]: [ 115 / 162 ] simplifiying candidate # 1.977 * * * * [progress]: [ 116 / 162 ] simplifiying candidate # 1.977 * * * * [progress]: [ 117 / 162 ] simplifiying candidate # 1.978 * * * * [progress]: [ 118 / 162 ] simplifiying candidate # 1.978 * * * * [progress]: [ 119 / 162 ] simplifiying candidate # 1.978 * * * * [progress]: [ 120 / 162 ] simplifiying candidate # 1.978 * * * * [progress]: [ 121 / 162 ] simplifiying candidate # 1.978 * * * * [progress]: [ 122 / 162 ] simplifiying candidate # 1.978 * * * * [progress]: [ 123 / 162 ] simplifiying candidate # 1.978 * * * * [progress]: [ 124 / 162 ] simplifiying candidate # 1.978 * * * * [progress]: [ 125 / 162 ] simplifiying candidate # 1.978 * * * * [progress]: [ 126 / 162 ] simplifiying candidate # 1.978 * * * * [progress]: [ 127 / 162 ] simplifiying candidate # 1.978 * * * * [progress]: [ 128 / 162 ] simplifiying candidate # 1.978 * * * * [progress]: [ 129 / 162 ] simplifiying candidate # 1.978 * * * * [progress]: [ 130 / 162 ] simplifiying candidate # 1.978 * * * * [progress]: [ 131 / 162 ] simplifiying candidate # 1.979 * * * * [progress]: [ 132 / 162 ] simplifiying candidate # 1.979 * * * * [progress]: [ 133 / 162 ] simplifiying candidate # 1.979 * * * * [progress]: [ 134 / 162 ] simplifiying candidate # 1.979 * * * * [progress]: [ 135 / 162 ] simplifiying candidate # 1.979 * * * * [progress]: [ 136 / 162 ] simplifiying candidate # 1.979 * * * * [progress]: [ 137 / 162 ] simplifiying candidate #real (real->posit16 (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x)))))))> 1.979 * * * * [progress]: [ 138 / 162 ] simplifiying candidate # 1.979 * * * * [progress]: [ 139 / 162 ] simplifiying candidate # 1.979 * * * * [progress]: [ 140 / 162 ] simplifiying candidate # 1.979 * * * * [progress]: [ 141 / 162 ] simplifiying candidate # 1.980 * * * * [progress]: [ 142 / 162 ] simplifiying candidate # 1.980 * * * * [progress]: [ 143 / 162 ] simplifiying candidate # 1.980 * * * * [progress]: [ 144 / 162 ] simplifiying candidate # 1.980 * * * * [progress]: [ 145 / 162 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(* x (sqrt -1)))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 1.993 * * [simplify]: iteration 0: 205 enodes 2.072 * * [simplify]: iteration 1: 472 enodes 2.328 * * [simplify]: iteration 2: 1392 enodes 2.971 * * [simplify]: iteration complete: 5002 enodes 2.971 * * [simplify]: Extracting #0: cost 92 inf + 0 2.972 * * [simplify]: Extracting #1: cost 464 inf + 4 2.976 * * [simplify]: Extracting #2: cost 1407 inf + 6299 2.990 * * [simplify]: Extracting #3: cost 1086 inf + 89302 3.032 * * [simplify]: Extracting #4: cost 576 inf + 193151 3.103 * * [simplify]: Extracting #5: cost 172 inf + 300751 3.192 * * [simplify]: Extracting #6: cost 3 inf + 349829 3.288 * * [simplify]: Extracting #7: cost 0 inf + 350588 3.390 * [simplify]: Simplified to: 4 4 4 4 2 2 4 4 4 4 4 4 4 4 2 2 4 4 4 4 (* x x) (* x x) (* (* x x) (* x x)) (* (* x x) (* x x)) (* x x) (* x x) (* x x) (* (* x x) (* x x)) (* (* x x) (* x x)) (* x x) 2 2 (* 4 (log x)) (* 4 (log x)) (* 4 (log x)) (* 4 (log x)) (* 4 (log x)) (exp (* (* x x) (* x x))) (* (* (* x x) (* x x)) (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (* (* (* x x) (* x x)) (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (* (* (* x x) (* x x)) (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (* (* (* x x) (* x x)) (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (* (cbrt (* (* x x) (* x x))) (cbrt (* (* x x) (* x x)))) (cbrt (* (* x x) (* x x))) (* (* (* x x) (* x x)) (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (fabs (* x x)) (fabs (* x x)) (* x x) (* x x) (* x x) (* x x) 4 4 2 2 4 4 4 2 2 4 (* x (* x x)) (* x (* x x)) (real->posit16 (* (* x x) (* x x))) (log (/ (sqrt (* (+ (* x x) 1.0) (- 1.0 (* x x)))) (sqrt (+ (* x x) 1.0)))) (log (/ (sqrt (* (+ (* x x) 1.0) (- 1.0 (* x x)))) (sqrt (+ (* x x) 1.0)))) (exp (/ (sqrt (* (+ (* x x) 1.0) (- 1.0 (* x x)))) (sqrt (+ (* x x) 1.0)))) (/ (/ (sqrt (* (+ (* x x) 1.0) 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1.0 1.0) (* (* x x) (* x x)))) (* (* 1.0 1.0) (* 1.0 1.0)))) (sqrt (+ (* x x) 1.0))) (* (sqrt (+ (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ (* x x) 1.0))) (real->posit16 (/ (sqrt (* (+ (* x x) 1.0) (- 1.0 (* x x)))) (sqrt (+ (* x x) 1.0)))) (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (* (+ (* x x) 1.0) (sqrt (+ (* x x) 1.0))) (fabs (cbrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) 1 (sqrt (+ (* x x) 1.0)) (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* 1.0 1.0) 1.0))) (sqrt (+ (* (* x x) (- (* x x) 1.0)) (* 1.0 1.0))) (sqrt (* (+ (* x x) 1.0) (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x))) 1/2 (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (real->posit16 (sqrt (+ (* x x) 1.0))) (* (* x x) (* x x)) (* (* x x) (* x x)) (* (* x x) (* x x)) (- (sqrt 1.0) (+ (/ (* (* x x) 0.5) (sqrt 1.0)) (* (/ 0.125 1.0) (/ (* (* x x) (* x x)) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (/ (/ 0.5 x) (sqrt -1))) (/ (/ 0.125 (* x (* x x))) (* (sqrt -1) -1))) (- (/ (/ 0.125 (* x (* x x))) (* (sqrt -1) -1)) (+ (* x (sqrt -1)) (/ (/ 0.5 x) (sqrt -1)))) (+ (+ (/ (* (* x x) 1/2) (sqrt 1.0)) (sqrt 1.0)) (* (* (/ (* x x) (sqrt 1.0)) (/ (* x x) 1.0)) -1/8)) (+ (/ 0.5 x) (- x (/ 0.125 (* x (* x x))))) (- (- (/ 0.125 (* x (* x x))) x) (/ 0.5 x)) 3.416 * * * [progress]: adding candidates to table 3.894 * [progress]: [Phase 3 of 3] Extracting. 3.894 * * [regime]: Finding splitpoints for: (# #) 3.894 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 3.894 * * * * [regimes]: Trying to branch on (* x x) from (# #) 3.918 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 3.937 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 3.951 * * * * [regimes]: Trying to branch on x from (# #) 3.972 * * * [regime]: Found split indices: #