41.305 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.035 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.035 * [simplify]: Simplifying: (sqrt (- 1.0 (* x x))) 0.035 * * [simplify]: iteration 0: 5 enodes 0.036 * * [simplify]: iteration 1: 7 enodes 0.038 * * [simplify]: iteration 2: 11 enodes 0.040 * * [simplify]: iteration 3: 13 enodes 0.043 * * [simplify]: iteration complete: 13 enodes 0.043 * * [simplify]: Extracting #0: cost 1 inf + 0 0.043 * * [simplify]: Extracting #1: cost 2 inf + 0 0.043 * * [simplify]: Extracting #2: cost 7 inf + 0 0.043 * * [simplify]: Extracting #3: cost 2 inf + 165 0.044 * * [simplify]: Extracting #4: cost 0 inf + 369 0.044 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.044 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.069 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.069 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.069 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.069 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [backup-simplify]: Simplify 1.0 into 1.0 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.078 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.079 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.079 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [backup-simplify]: Simplify 1.0 into 1.0 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.080 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.082 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (* 1 1) into 1 0.082 * [backup-simplify]: Simplify (- 1) into -1 0.083 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.085 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.086 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [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)) 0.097 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.100 * [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))))) 0.100 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.100 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.100 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [backup-simplify]: Simplify 1.0 into 1.0 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [backup-simplify]: Simplify (- 1) into -1 0.101 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.102 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.104 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [backup-simplify]: Simplify 1.0 into 1.0 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [backup-simplify]: Simplify (- 1) into -1 0.106 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.106 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.109 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.113 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.114 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [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)) 0.127 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.129 * [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))))) 0.130 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.130 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.130 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [backup-simplify]: Simplify 1.0 into 1.0 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [backup-simplify]: Simplify (- 1) into -1 0.131 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.132 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.134 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [backup-simplify]: Simplify 1.0 into 1.0 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [backup-simplify]: Simplify (- 1) into -1 0.136 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.136 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.139 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.144 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.145 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0.156 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.157 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.160 * [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)))))) 0.160 * * * [progress]: simplifying candidates 0.160 * * * * [progress]: [ 1 / 22 ] simplifiying candidate # 0.160 * * * * [progress]: [ 2 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 3 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 4 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 5 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 6 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 7 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 8 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 9 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 10 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 11 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 12 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 13 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 14 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 15 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 16 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 17 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 18 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 19 / 22 ] simplifiying candidate #real (real->posit16 (sqrt (- 1.0 (* x x))))))> 0.161 * * * * [progress]: [ 20 / 22 ] simplifiying candidate # 0.161 * * * * [progress]: [ 21 / 22 ] simplifiying candidate # 0.162 * * * * [progress]: [ 22 / 22 ] simplifiying candidate # 0.162 * [simplify]: Simplifying: (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (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)))))) 0.163 * * [simplify]: iteration 0: 70 enodes 0.180 * * [simplify]: iteration 1: 163 enodes 0.232 * * [simplify]: iteration 2: 488 enodes 0.487 * * [simplify]: iteration 3: 1991 enodes 0.807 * * [simplify]: iteration complete: 2000 enodes 0.807 * * [simplify]: Extracting #0: cost 23 inf + 0 0.808 * * [simplify]: Extracting #1: cost 76 inf + 2 0.809 * * [simplify]: Extracting #2: cost 311 inf + 50 0.813 * * [simplify]: Extracting #3: cost 491 inf + 9310 0.827 * * [simplify]: Extracting #4: cost 189 inf + 53848 0.853 * * [simplify]: Extracting #5: cost 12 inf + 102578 0.882 * * [simplify]: Extracting #6: cost 0 inf + 106796 0.913 * [simplify]: Simplified to: (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (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)))) (* (- 1.0 (* x x)) (sqrt (- 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 (fma (* x x) 1.0 (fma (* x x) (* x x) (* 1.0 1.0)))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (fma x x 1.0)) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (real->posit16 (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (fma (/ (* x x) (sqrt 1.0)) 1/2 (* (/ (* (* x x) 1/8) 1.0) (/ (* x x) (sqrt 1.0))))) (- (fma (sqrt -1) x (/ (/ 0.5 x) (sqrt -1))) (/ 0.125 (* (sqrt -1) (* (* x (- x)) x)))) (- (/ 0.125 (* (sqrt -1) (* (* x (- x)) x))) (fma (sqrt -1) x (/ (/ 0.5 x) (sqrt -1)))) 0.914 * * * [progress]: adding candidates to table 1.002 * * [progress]: iteration 2 / 4 1.002 * * * [progress]: picking best candidate 1.005 * * * * [pick]: Picked # 1.005 * * * [progress]: localizing error 1.028 * * * [progress]: generating rewritten candidates 1.028 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.084 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.093 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.105 * * * [progress]: generating series expansions 1.105 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.106 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) into (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) 1.106 * [approximate]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) in (x) around 0 1.106 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) in x 1.106 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)) in x 1.106 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 1.107 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [backup-simplify]: Simplify 1.0 into 1.0 1.107 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 1 into 1 1.108 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.108 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.108 * [taylor]: Taking taylor expansion of 1.0 in x 1.108 * [backup-simplify]: Simplify 1.0 into 1.0 1.108 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.110 * [backup-simplify]: Simplify (- 0) into 0 1.111 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.112 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 1.113 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1.0) 2)) into (sqrt 1.0) 1.113 * [backup-simplify]: Simplify (- 1) into -1 1.114 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.114 * [backup-simplify]: Simplify (+ 0 1) into 1 1.116 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) -1) (* 1 (sqrt 1.0))) into 0 1.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1.0) 2)))) into 0 1.117 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) in x 1.117 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)) in x 1.117 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 1.117 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.117 * [taylor]: Taking taylor expansion of 1.0 in x 1.117 * [backup-simplify]: Simplify 1.0 into 1.0 1.117 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.118 * [taylor]: Taking taylor expansion of x in x 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 1 into 1 1.118 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.118 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [backup-simplify]: Simplify 1.0 into 1.0 1.119 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.120 * [backup-simplify]: Simplify (- 0) into 0 1.121 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.122 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 1.123 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1.0) 2)) into (sqrt 1.0) 1.124 * [backup-simplify]: Simplify (- 1) into -1 1.124 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.124 * [backup-simplify]: Simplify (+ 0 1) into 1 1.126 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) -1) (* 1 (sqrt 1.0))) into 0 1.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1.0) 2)))) into 0 1.128 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.128 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.129 * [backup-simplify]: Simplify (- 0) into 0 1.129 * [backup-simplify]: Simplify (+ 0 0) into 0 1.130 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 -1) (* 0 (sqrt 1.0)))) into -1 1.134 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.135 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 1.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.136 * [backup-simplify]: Simplify (- 0) into 0 1.136 * [backup-simplify]: Simplify (+ 0 0) into 0 1.137 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.138 * [backup-simplify]: Simplify (+ 0 0) into 0 1.139 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 -1) (* 0 (sqrt 1.0))))) into 0 1.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.142 * [backup-simplify]: Simplify (- 0) into 0 1.142 * [backup-simplify]: Simplify (+ 0 0) into 0 1.143 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.144 * [backup-simplify]: Simplify (+ 0 0) into 0 1.145 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 (sqrt 1.0)))))) into 0 1.151 * [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)) 1.152 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.155 * [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))))) 1.155 * [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)))) 1.155 * [approximate]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.155 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x)))) in x 1.155 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x))) in x 1.155 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.155 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [backup-simplify]: Simplify 1.0 into 1.0 1.156 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [backup-simplify]: Simplify (/ 1 1) into 1 1.157 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.157 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [backup-simplify]: Simplify 1.0 into 1.0 1.157 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.158 * [backup-simplify]: Simplify (/ 1 1) into 1 1.159 * [backup-simplify]: Simplify (+ 0 1) into 1 1.159 * [backup-simplify]: Simplify (- 1) into -1 1.159 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.160 * [backup-simplify]: Simplify (* 1 -1) into -1 1.160 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.161 * [backup-simplify]: Simplify (- 0) into 0 1.162 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.165 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (sqrt 1.0) -1)) into 0 1.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.166 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x)))) in x 1.166 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x))) in x 1.166 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.166 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.166 * [taylor]: Taking taylor expansion of 1.0 in x 1.166 * [backup-simplify]: Simplify 1.0 into 1.0 1.166 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.167 * [taylor]: Taking taylor expansion of x in x 1.167 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify 1 into 1 1.168 * [backup-simplify]: Simplify (/ 1 1) into 1 1.168 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.168 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.168 * [taylor]: Taking taylor expansion of 1.0 in x 1.168 * [backup-simplify]: Simplify 1.0 into 1.0 1.168 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 1 into 1 1.169 * [backup-simplify]: Simplify (/ 1 1) into 1 1.170 * [backup-simplify]: Simplify (+ 0 1) into 1 1.170 * [backup-simplify]: Simplify (- 1) into -1 1.170 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.171 * [backup-simplify]: Simplify (* 1 -1) into -1 1.171 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.172 * [backup-simplify]: Simplify (- 0) into 0 1.172 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.173 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.176 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (sqrt 1.0) -1)) into 0 1.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.177 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.177 * [backup-simplify]: Simplify 0 into 0 1.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.181 * [backup-simplify]: Simplify (- 0) into 0 1.181 * [backup-simplify]: Simplify (+ 0 0) into 0 1.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.182 * [backup-simplify]: Simplify (+ 0 0) into 0 1.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) (sqrt 1.0)) (* 0 -1))) into (pow (sqrt 1.0) 2) 1.190 * [backup-simplify]: Simplify (/ (- (pow (sqrt 1.0) 2) (pow 0 2) (+)) (* 2 (sqrt -1))) into (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))) 1.192 * [backup-simplify]: Simplify (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))) into (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))) 1.193 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.195 * [backup-simplify]: Simplify (- 0) into 0 1.195 * [backup-simplify]: Simplify (+ 0 0) into 0 1.196 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.197 * [backup-simplify]: Simplify (+ 0 0) into 0 1.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 (sqrt 1.0)) (* 0 -1)))) into 0 1.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))))))) (* 2 (sqrt -1))) into 0 1.201 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.203 * [backup-simplify]: Simplify (- 0) into 0 1.203 * [backup-simplify]: Simplify (+ 0 0) into 0 1.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.206 * [backup-simplify]: Simplify (+ 0 0) into 0 1.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 -1))))) into 0 1.216 * [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))) 1.220 * [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))) 1.226 * [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))))) 1.227 * [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)))) 1.227 * [approximate]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.227 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x)))) in x 1.227 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x))) in x 1.227 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.227 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.227 * [taylor]: Taking taylor expansion of 1.0 in x 1.227 * [backup-simplify]: Simplify 1.0 into 1.0 1.227 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.228 * [taylor]: Taking taylor expansion of x in x 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.229 * [backup-simplify]: Simplify (/ 1 1) into 1 1.229 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.229 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.229 * [taylor]: Taking taylor expansion of 1.0 in x 1.229 * [backup-simplify]: Simplify 1.0 into 1.0 1.229 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.230 * [taylor]: Taking taylor expansion of x in x 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [backup-simplify]: Simplify (/ 1 1) into 1 1.230 * [backup-simplify]: Simplify (+ 0 1) into 1 1.231 * [backup-simplify]: Simplify (- 1) into -1 1.231 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.231 * [backup-simplify]: Simplify (* 1 -1) into -1 1.232 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.233 * [backup-simplify]: Simplify (- 0) into 0 1.233 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.235 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.237 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (sqrt 1.0) -1)) into 0 1.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.237 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x)))) in x 1.237 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (sqrt 1.0) (/ 1 x))) in x 1.237 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.237 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.237 * [taylor]: Taking taylor expansion of 1.0 in x 1.238 * [backup-simplify]: Simplify 1.0 into 1.0 1.238 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.239 * [backup-simplify]: Simplify (/ 1 1) into 1 1.239 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.239 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.239 * [taylor]: Taking taylor expansion of 1.0 in x 1.239 * [backup-simplify]: Simplify 1.0 into 1.0 1.239 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (/ 1 1) into 1 1.240 * [backup-simplify]: Simplify (+ 0 1) into 1 1.240 * [backup-simplify]: Simplify (- 1) into -1 1.241 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.241 * [backup-simplify]: Simplify (* 1 -1) into -1 1.241 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.242 * [backup-simplify]: Simplify (- 0) into 0 1.242 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.245 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (sqrt 1.0) -1)) into 0 1.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.245 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.245 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.246 * [backup-simplify]: Simplify (- 0) into 0 1.246 * [backup-simplify]: Simplify (+ 0 0) into 0 1.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.247 * [backup-simplify]: Simplify (+ 0 0) into 0 1.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) (sqrt 1.0)) (* 0 -1))) into (pow (sqrt 1.0) 2) 1.252 * [backup-simplify]: Simplify (/ (- (pow (sqrt 1.0) 2) (pow 0 2) (+)) (* 2 (sqrt -1))) into (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))) 1.254 * [backup-simplify]: Simplify (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))) into (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))) 1.255 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.256 * [backup-simplify]: Simplify (- 0) into 0 1.256 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 (sqrt 1.0)) (* 0 -1)))) into 0 1.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (/ (pow (sqrt 1.0) 2) (sqrt -1))))))) (* 2 (sqrt -1))) into 0 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (- 0) into 0 1.261 * [backup-simplify]: Simplify (+ 0 0) into 0 1.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.263 * [backup-simplify]: Simplify (+ 0 0) into 0 1.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 -1))))) into 0 1.271 * [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))) 1.274 * [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))) 1.282 * [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)))) 1.282 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.283 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1.0) x)) into (sqrt (+ (sqrt 1.0) x)) 1.283 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) x)) in (x) around 0 1.283 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) x)) in x 1.283 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 1.283 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.283 * [taylor]: Taking taylor expansion of 1.0 in x 1.283 * [backup-simplify]: Simplify 1.0 into 1.0 1.283 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.284 * [taylor]: Taking taylor expansion of x in x 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 1 into 1 1.285 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.285 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 1.286 * [backup-simplify]: Simplify (+ 0 1) into 1 1.287 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 1.287 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) x)) in x 1.287 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 1.287 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.288 * [taylor]: Taking taylor expansion of 1.0 in x 1.288 * [backup-simplify]: Simplify 1.0 into 1.0 1.288 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.288 * [taylor]: Taking taylor expansion of x in x 1.289 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify 1 into 1 1.289 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.290 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 1.290 * [backup-simplify]: Simplify (+ 0 1) into 1 1.292 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 1.292 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 1.294 * [backup-simplify]: Simplify (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 1.294 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.295 * [backup-simplify]: Simplify (+ 0 0) into 0 1.299 * [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)))) 1.301 * [backup-simplify]: Simplify (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) into (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) 1.305 * [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)))) 1.306 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1.0) (/ 1 x))) into (sqrt (+ (sqrt 1.0) (/ 1 x))) 1.306 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 1.306 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.306 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.306 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.306 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [backup-simplify]: Simplify 1.0 into 1.0 1.306 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 1 into 1 1.307 * [backup-simplify]: Simplify (/ 1 1) into 1 1.307 * [backup-simplify]: Simplify (+ 0 1) into 1 1.308 * [backup-simplify]: Simplify (sqrt 0) into 0 1.309 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.309 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.309 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.309 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.309 * [taylor]: Taking taylor expansion of 1.0 in x 1.309 * [backup-simplify]: Simplify 1.0 into 1.0 1.309 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (/ 1 1) into 1 1.310 * [backup-simplify]: Simplify (+ 0 1) into 1 1.310 * [backup-simplify]: Simplify (sqrt 0) into 0 1.311 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.312 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.314 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.315 * [backup-simplify]: Simplify (* +nan.0 (- (sqrt 1.0) +nan.0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.316 * [backup-simplify]: Simplify (+ 0 0) into 0 1.321 * [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))) 1.323 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.327 * [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))))))))))) 1.327 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1.0) (/ 1 (- x)))) into (sqrt (- (sqrt 1.0) (/ 1 x))) 1.327 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 1.327 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.327 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.327 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.327 * [taylor]: Taking taylor expansion of 1.0 in x 1.327 * [backup-simplify]: Simplify 1.0 into 1.0 1.328 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (/ 1 1) into 1 1.329 * [backup-simplify]: Simplify (- 1) into -1 1.329 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.330 * [backup-simplify]: Simplify (sqrt 0) into 0 1.331 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.331 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.331 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.331 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.331 * [taylor]: Taking taylor expansion of 1.0 in x 1.331 * [backup-simplify]: Simplify 1.0 into 1.0 1.331 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 1 into 1 1.332 * [backup-simplify]: Simplify (/ 1 1) into 1 1.333 * [backup-simplify]: Simplify (- 1) into -1 1.333 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.333 * [backup-simplify]: Simplify (sqrt 0) into 0 1.334 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (- 0) into 0 1.336 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.339 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.341 * [backup-simplify]: Simplify (* +nan.0 (- (sqrt 1.0) +nan.0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.342 * [backup-simplify]: Simplify (- 0) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.348 * [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))) 1.351 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.354 * [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))))))))))) 1.354 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.355 * [backup-simplify]: Simplify (sqrt (- (sqrt 1.0) x)) into (sqrt (- (sqrt 1.0) x)) 1.355 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in (x) around 0 1.355 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in x 1.355 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.355 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.355 * [taylor]: Taking taylor expansion of 1.0 in x 1.355 * [backup-simplify]: Simplify 1.0 into 1.0 1.355 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.356 * [taylor]: Taking taylor expansion of x in x 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 1 into 1 1.357 * [backup-simplify]: Simplify (- 0) into 0 1.357 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.358 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 1.358 * [backup-simplify]: Simplify (- 1) into -1 1.359 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.360 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (sqrt 1.0)))) into (* -1/2 (sqrt (/ 1 (sqrt 1.0)))) 1.361 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in x 1.361 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.361 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.361 * [taylor]: Taking taylor expansion of 1.0 in x 1.361 * [backup-simplify]: Simplify 1.0 into 1.0 1.361 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.362 * [taylor]: Taking taylor expansion of x in x 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 1 into 1 1.362 * [backup-simplify]: Simplify (- 0) into 0 1.363 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.363 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 1.364 * [backup-simplify]: Simplify (- 1) into -1 1.364 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.366 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (sqrt 1.0)))) into (* -1/2 (sqrt (/ 1 (sqrt 1.0)))) 1.366 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 1.368 * [backup-simplify]: Simplify (* -1/2 (sqrt (/ 1 (sqrt 1.0)))) into (* -1/2 (sqrt (/ 1 (sqrt 1.0)))) 1.369 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.370 * [backup-simplify]: Simplify (- 0) into 0 1.370 * [backup-simplify]: Simplify (+ 0 0) into 0 1.377 * [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)))) 1.379 * [backup-simplify]: Simplify (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) into (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) 1.387 * [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))))) 1.387 * [backup-simplify]: Simplify (sqrt (- (sqrt 1.0) (/ 1 x))) into (sqrt (- (sqrt 1.0) (/ 1 x))) 1.388 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 1.388 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.388 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.388 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.388 * [taylor]: Taking taylor expansion of 1.0 in x 1.388 * [backup-simplify]: Simplify 1.0 into 1.0 1.388 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 1 into 1 1.389 * [backup-simplify]: Simplify (/ 1 1) into 1 1.389 * [backup-simplify]: Simplify (- 1) into -1 1.390 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.390 * [backup-simplify]: Simplify (sqrt 0) into 0 1.391 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.391 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.391 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.391 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.391 * [taylor]: Taking taylor expansion of 1.0 in x 1.391 * [backup-simplify]: Simplify 1.0 into 1.0 1.392 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.392 * [taylor]: Taking taylor expansion of x in x 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.393 * [backup-simplify]: Simplify (/ 1 1) into 1 1.393 * [backup-simplify]: Simplify (- 1) into -1 1.393 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.394 * [backup-simplify]: Simplify (sqrt 0) into 0 1.395 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.396 * [backup-simplify]: Simplify (- 0) into 0 1.397 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.400 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.401 * [backup-simplify]: Simplify (* +nan.0 (- (sqrt 1.0) +nan.0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (- 0) into 0 1.402 * [backup-simplify]: Simplify (+ 0 0) into 0 1.409 * [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))) 1.412 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.415 * [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))))))))))) 1.416 * [backup-simplify]: Simplify (sqrt (- (sqrt 1.0) (/ 1 (- x)))) into (sqrt (+ (sqrt 1.0) (/ 1 x))) 1.416 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 1.416 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.416 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.416 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.416 * [taylor]: Taking taylor expansion of 1.0 in x 1.416 * [backup-simplify]: Simplify 1.0 into 1.0 1.416 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [backup-simplify]: Simplify (/ 1 1) into 1 1.417 * [backup-simplify]: Simplify (+ 0 1) into 1 1.418 * [backup-simplify]: Simplify (sqrt 0) into 0 1.418 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.419 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.419 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.419 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [backup-simplify]: Simplify 1.0 into 1.0 1.419 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 1 into 1 1.420 * [backup-simplify]: Simplify (/ 1 1) into 1 1.420 * [backup-simplify]: Simplify (+ 0 1) into 1 1.420 * [backup-simplify]: Simplify (sqrt 0) into 0 1.421 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.422 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.425 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.426 * [backup-simplify]: Simplify (* +nan.0 (- (sqrt 1.0) +nan.0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.427 * [backup-simplify]: Simplify (+ 0 0) into 0 1.433 * [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))) 1.436 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.440 * [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))))))))))) 1.440 * * * [progress]: simplifying candidates 1.440 * * * * [progress]: [ 1 / 96 ] simplifiying candidate # 1.440 * * * * [progress]: [ 2 / 96 ] simplifiying candidate # 1.440 * * * * [progress]: [ 3 / 96 ] simplifiying candidate # 1.440 * * * * [progress]: [ 4 / 96 ] simplifiying candidate # 1.440 * * * * [progress]: [ 5 / 96 ] simplifiying candidate # 1.440 * * * * [progress]: [ 6 / 96 ] simplifiying candidate # 1.440 * * * * [progress]: [ 7 / 96 ] simplifiying candidate # 1.440 * * * * [progress]: [ 8 / 96 ] simplifiying candidate # 1.440 * * * * [progress]: [ 9 / 96 ] simplifiying candidate # 1.440 * * * * [progress]: [ 10 / 96 ] simplifiying candidate # 1.440 * * * * [progress]: [ 11 / 96 ] simplifiying candidate # 1.440 * * * * [progress]: [ 12 / 96 ] simplifiying candidate # 1.440 * * * * [progress]: [ 13 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 14 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 15 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 16 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 17 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 18 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 19 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 20 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 21 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 22 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 23 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 24 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 25 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 26 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 27 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 28 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 29 / 96 ] simplifiying candidate # 1.441 * * * * [progress]: [ 30 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 31 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 32 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 33 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 34 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 35 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 36 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 37 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 38 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 39 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 40 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 41 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 42 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 43 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 44 / 96 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))))))> 1.442 * * * * [progress]: [ 45 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 46 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 47 / 96 ] simplifiying candidate # 1.442 * * * * [progress]: [ 48 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 49 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 50 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 51 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 52 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 53 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 54 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 55 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 56 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 57 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 58 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 59 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 60 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 61 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 62 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 63 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 64 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 65 / 96 ] simplifiying candidate # 1.443 * * * * [progress]: [ 66 / 96 ] simplifiying candidate #real (real->posit16 (sqrt (+ (sqrt 1.0) x)))) (sqrt (- (sqrt 1.0) x))))> 1.444 * * * * [progress]: [ 67 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 68 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 69 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 70 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 71 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 72 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 73 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 74 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 75 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 76 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 77 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 78 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 79 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 80 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 81 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 82 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 83 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 84 / 96 ] simplifiying candidate # 1.444 * * * * [progress]: [ 85 / 96 ] simplifiying candidate # 1.445 * * * * [progress]: [ 86 / 96 ] simplifiying candidate # 1.445 * * * * [progress]: [ 87 / 96 ] simplifiying candidate #real (real->posit16 (sqrt (- (sqrt 1.0) x))))))> 1.445 * * * * [progress]: [ 88 / 96 ] simplifiying candidate # 1.445 * * * * [progress]: [ 89 / 96 ] simplifiying candidate # 1.445 * * * * [progress]: [ 90 / 96 ] simplifiying candidate # 1.445 * * * * [progress]: [ 91 / 96 ] simplifiying candidate # 1.445 * * * * [progress]: [ 92 / 96 ] simplifiying candidate # 1.445 * * * * [progress]: [ 93 / 96 ] simplifiying candidate # 1.445 * * * * [progress]: [ 94 / 96 ] simplifiying candidate # 1.445 * * * * [progress]: [ 95 / 96 ] simplifiying candidate # 1.445 * * * * [progress]: [ 96 / 96 ] simplifiying candidate # 1.446 * [simplify]: Simplifying: (expm1 (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (log1p (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (* (+ (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 (+ (sqrt (sqrt 1.0)) (sqrt x)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x)))) (* (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 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)))) (expm1 (sqrt (+ (sqrt 1.0) x))) (log1p (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))) (expm1 (sqrt (- (sqrt 1.0) x))) (log1p (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))) (- (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)))) (- (+ (* 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))))))))))) (- (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))))))))))) 1.449 * * [simplify]: iteration 0: 155 enodes 1.500 * * [simplify]: iteration 1: 350 enodes 1.630 * * [simplify]: iteration 2: 962 enodes 1.871 * * [simplify]: iteration complete: 2003 enodes 1.872 * * [simplify]: Extracting #0: cost 68 inf + 0 1.872 * * [simplify]: Extracting #1: cost 184 inf + 2 1.874 * * [simplify]: Extracting #2: cost 450 inf + 175 1.879 * * [simplify]: Extracting #3: cost 545 inf + 9350 1.893 * * [simplify]: Extracting #4: cost 284 inf + 64180 1.919 * * [simplify]: Extracting #5: cost 27 inf + 125246 1.948 * * [simplify]: Extracting #6: cost 4 inf + 130517 1.974 * * [simplify]: Extracting #7: cost 0 inf + 131816 2.002 * [simplify]: Simplified to: (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x)))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x)))) (- 1.0 (* x x)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x))) (- 1.0 (* x x)) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x)))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x)))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x)))) (* (* (sqrt (+ x (sqrt 1.0))) (+ x (sqrt 1.0))) (* (- (sqrt 1.0) x) (sqrt (- (sqrt 1.0) x)))) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x)))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x)))) (* (* (sqrt (+ x (sqrt 1.0))) (+ x (sqrt 1.0))) (* (- (sqrt 1.0) x) (sqrt (- (sqrt 1.0) x)))) (- 1.0 (* x x)) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x)))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x)))) (* (sqrt (- (* 1.0 (sqrt 1.0)) (* (* x x) x))) (sqrt (fma x (* x x) (* 1.0 (sqrt 1.0))))) (* (sqrt (fma x (+ x (sqrt 1.0)) 1.0)) (sqrt (fma x (- x (sqrt 1.0)) 1.0))) (* (sqrt (- 1.0 (* x x))) (sqrt (fma x (* x x) (* 1.0 (sqrt 1.0))))) (* (sqrt (fma x (- x (sqrt 1.0)) 1.0)) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* 1.0 (sqrt 1.0)) (* (* x x) x))) (sqrt (- 1.0 (* x x)))) (* (sqrt (fma x (+ x (sqrt 1.0)) 1.0)) (sqrt (- (sqrt 1.0) x))) (- 1.0 (* x x)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (cbrt (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ x (sqrt 1.0))) (cbrt (sqrt (- (sqrt 1.0) x))))) (* (sqrt (+ x (sqrt 1.0))) (fabs (cbrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ (sqrt x) (sqrt (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ (sqrt x) (sqrt (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (cbrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* 1.0 (sqrt 1.0)) (* (* x x) x)))) (* (sqrt (- 1.0 (* x x))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (fma x (* x x) (* 1.0 (sqrt 1.0))))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (- 1.0 (* x x)))) (real->posit16 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x)))) (expm1 (sqrt (+ x (sqrt 1.0)))) (log1p (sqrt (+ x (sqrt 1.0)))) (log (sqrt (+ x (sqrt 1.0)))) (exp (sqrt (+ x (sqrt 1.0)))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (cbrt (sqrt (+ x (sqrt 1.0))))) (cbrt (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (+ x (sqrt 1.0))) (fabs (cbrt (+ x (sqrt 1.0)))) (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) 1 (sqrt (+ x (sqrt 1.0))) 1 (sqrt (+ x (sqrt 1.0))) (sqrt (fma x (* x x) (* 1.0 (sqrt 1.0)))) (sqrt (fma x (- x (sqrt 1.0)) 1.0)) (sqrt (- 1.0 (* x x))) (sqrt (- (sqrt 1.0) x)) 1/2 (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (real->posit16 (sqrt (+ x (sqrt 1.0)))) (expm1 (sqrt (- (sqrt 1.0) x))) (log1p (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 1.0) x) (sqrt (- (sqrt 1.0) x))) (fabs (cbrt (- (sqrt 1.0) x))) (sqrt (cbrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) 1 (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0)))) (sqrt (- (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0)))) (sqrt (- (sqrt (sqrt 1.0)) (sqrt x))) 1 (sqrt (- (sqrt 1.0) x)) (sqrt (- (* 1.0 (sqrt 1.0)) (* (* x x) x))) (sqrt (fma x (+ x (sqrt 1.0)) 1.0)) (sqrt (- 1.0 (* x x))) (sqrt (+ x (sqrt 1.0))) 1/2 (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) (real->posit16 (sqrt (- (sqrt 1.0) x))) (- (sqrt 1.0) (fma 1/8 (* (/ (* x x) 1.0) (/ (* x x) (sqrt 1.0))) (/ 1/2 (/ (sqrt 1.0) (* x x))))) (fma (* (/ 1.0 (* x (sqrt -1))) (/ (/ 1.0 -1) (* x x))) -1/8 (fma 1/2 (/ 1.0 (* x (sqrt -1))) (* x (sqrt -1)))) (fma 1/8 (* (/ 1.0 (* x (sqrt -1))) (/ (/ 1.0 -1) (* x x))) (- (fma 1/2 (/ 1.0 (* x (sqrt -1))) (* x (sqrt -1))))) (fma -1/8 (* (sqrt (/ 1 (* 1.0 (sqrt 1.0)))) (* x x)) (fma (* (sqrt (/ 1 (sqrt 1.0))) x) 1/2 (sqrt (sqrt 1.0)))) (- (+ (- (/ +nan.0 x) (/ +nan.0 (* x x))) (fma (/ +nan.0 x) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) x) (- +nan.0))))) (- (+ (- (/ +nan.0 x) (/ +nan.0 (* x x))) (fma (/ +nan.0 x) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) x) (- +nan.0))))) (- (sqrt (sqrt 1.0)) (fma (* (sqrt (/ 1 (sqrt 1.0))) x) 1/2 (* (sqrt (/ 1 (* 1.0 (sqrt 1.0)))) (* (* x x) 1/8)))) (- (+ (- (/ +nan.0 x) (/ +nan.0 (* x x))) (fma (/ +nan.0 x) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) x) (- +nan.0))))) (- (+ (- (/ +nan.0 x) (/ +nan.0 (* x x))) (fma (/ +nan.0 x) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) x) (- +nan.0))))) 2.009 * * * [progress]: adding candidates to table 2.340 * [progress]: [Phase 3 of 3] Extracting. 2.340 * * [regime]: Finding splitpoints for: (# #) 2.340 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 2.340 * * * * [regimes]: Trying to branch on (* x x) from (# #) 2.355 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 2.367 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 2.383 * * * * [regimes]: Trying to branch on x from (# #) 2.400 * * * [regime]: Found split indices: #