19.603 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.037 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.047 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.047 * [simplify]: Simplifying: (sqrt (- 1.0 (* x x))) 0.047 * * [simplify]: iteration 0: 5 enodes 0.050 * * [simplify]: iteration 1: 7 enodes 0.053 * * [simplify]: iteration 2: 11 enodes 0.058 * * [simplify]: iteration 3: 13 enodes 0.063 * * [simplify]: iteration complete: 13 enodes 0.063 * * [simplify]: Extracting #0: cost 1 inf + 0 0.063 * * [simplify]: Extracting #1: cost 2 inf + 0 0.063 * * [simplify]: Extracting #2: cost 7 inf + 0 0.063 * * [simplify]: Extracting #3: cost 2 inf + 165 0.063 * * [simplify]: Extracting #4: cost 0 inf + 369 0.063 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.065 * * [progress]: iteration 1 / 4 0.065 * * * [progress]: picking best candidate 0.071 * * * * [pick]: Picked # 0.071 * * * [progress]: localizing error 0.081 * * * [progress]: generating rewritten candidates 0.081 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.099 * * * [progress]: generating series expansions 0.099 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.099 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.099 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.099 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.099 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [backup-simplify]: Simplify 1.0 into 1.0 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.100 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.101 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.101 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [backup-simplify]: Simplify 1.0 into 1.0 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.101 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.102 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (- 1) into -1 0.103 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.105 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.106 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [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)) 0.115 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.118 * [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))))) 0.119 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.119 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.119 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.119 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [backup-simplify]: Simplify 1.0 into 1.0 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [backup-simplify]: Simplify (- 1) into -1 0.120 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.120 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- 0) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.122 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [backup-simplify]: Simplify 1.0 into 1.0 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (* 1 1) into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [backup-simplify]: Simplify (- 1) into -1 0.123 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.124 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.126 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.130 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.130 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.141 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.146 * [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))))) 0.146 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.147 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.147 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.147 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [backup-simplify]: Simplify 1.0 into 1.0 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [backup-simplify]: Simplify (- 1) into -1 0.149 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.149 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.151 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [backup-simplify]: Simplify 1.0 into 1.0 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [backup-simplify]: Simplify (- 1) into -1 0.152 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.152 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.154 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.159 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.159 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.170 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.172 * [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)))))) 0.173 * * * [progress]: simplifying candidates 0.173 * * * * [progress]: [ 1 / 22 ] simplifiying candidate #real (real->posit16 (sqrt (- 1.0 (* x x))))))> 0.173 * * * * [progress]: [ 2 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 3 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 4 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 5 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 6 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 7 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 8 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 9 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 10 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 11 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 12 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 13 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 14 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 15 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 16 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 17 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 18 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 19 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 20 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 21 / 22 ] simplifiying candidate # 0.173 * * * * [progress]: [ 22 / 22 ] simplifiying candidate # 0.174 * [simplify]: Simplifying: (real->posit16 (sqrt (- 1.0 (* x x)))) (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)))) (- (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)))))) 0.174 * * [simplify]: iteration 0: 70 enodes 0.252 * * [simplify]: iteration 1: 163 enodes 0.481 * * [simplify]: iteration 2: 488 enodes 1.181 * * [simplify]: iteration 3: 1994 enodes 3.437 * * [simplify]: iteration complete: 5000 enodes 3.437 * * [simplify]: Extracting #0: cost 23 inf + 0 3.438 * * [simplify]: Extracting #1: cost 169 inf + 2 3.443 * * [simplify]: Extracting #2: cost 790 inf + 487 3.460 * * [simplify]: Extracting #3: cost 1115 inf + 29082 3.506 * * [simplify]: Extracting #4: cost 539 inf + 135045 3.559 * * [simplify]: Extracting #5: cost 212 inf + 247954 3.647 * * [simplify]: Extracting #6: cost 27 inf + 300560 3.735 * * [simplify]: Extracting #7: cost 0 inf + 308782 3.812 * [simplify]: Simplified to: (real->posit16 (sqrt (- 1.0 (* x x)))) (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))) (- 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) (fma x x 1.0) (* 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)))) (+ (/ (* -1/2 (* x x)) (sqrt 1.0)) (fma -1/8 (/ (* x x) (/ (sqrt 1.0) (/ (* x x) 1.0))) (sqrt 1.0))) (- (fma (sqrt -1) x (/ (/ 0.5 x) (sqrt -1))) (* (/ 0.125 x) (/ (/ -1 (sqrt -1)) (* x x)))) (- (* (/ 0.125 x) (/ (/ -1 (sqrt -1)) (* x x))) (fma (sqrt -1) x (/ (/ 0.5 x) (sqrt -1)))) 3.813 * * * [progress]: adding candidates to table 3.974 * * [progress]: iteration 2 / 4 3.974 * * * [progress]: picking best candidate 3.983 * * * * [pick]: Picked # 3.983 * * * [progress]: localizing error 4.033 * * * [progress]: generating rewritten candidates 4.033 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 2) 4.076 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 4.115 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 4.157 * * * [progress]: generating series expansions 4.157 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 2) 4.157 * [backup-simplify]: Simplify (* (* x x) (* x x)) into (pow x 4) 4.157 * [approximate]: Taking taylor expansion of (pow x 4) in (x) around 0 4.157 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.157 * [taylor]: Taking taylor expansion of x in x 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify 1 into 1 4.157 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.158 * [taylor]: Taking taylor expansion of x in x 4.158 * [backup-simplify]: Simplify 0 into 0 4.158 * [backup-simplify]: Simplify 1 into 1 4.158 * [backup-simplify]: Simplify (* 1 1) into 1 4.159 * [backup-simplify]: Simplify (* 1 1) into 1 4.159 * [backup-simplify]: Simplify 1 into 1 4.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.160 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.162 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.165 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.168 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.171 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.174 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify (* 1 (pow x 4)) into (pow x 4) 4.176 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) into (/ 1 (pow x 4)) 4.176 * [approximate]: Taking taylor expansion of (/ 1 (pow x 4)) in (x) around 0 4.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.176 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.176 * [taylor]: Taking taylor expansion of x in x 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 1 into 1 4.176 * [backup-simplify]: Simplify (* 1 1) into 1 4.177 * [backup-simplify]: Simplify (* 1 1) into 1 4.177 * [backup-simplify]: Simplify (/ 1 1) into 1 4.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.177 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.177 * [taylor]: Taking taylor expansion of x in x 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 1 into 1 4.178 * [backup-simplify]: Simplify (* 1 1) into 1 4.178 * [backup-simplify]: Simplify (* 1 1) into 1 4.179 * [backup-simplify]: Simplify (/ 1 1) into 1 4.179 * [backup-simplify]: Simplify 1 into 1 4.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.182 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.188 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.192 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.197 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.201 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 x)) 4)) into (pow x 4) 4.203 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ 1 (pow x 4)) 4.203 * [approximate]: Taking taylor expansion of (/ 1 (pow x 4)) in (x) around 0 4.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.203 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.203 * [taylor]: Taking taylor expansion of x in x 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 1 into 1 4.204 * [backup-simplify]: Simplify (* 1 1) into 1 4.204 * [backup-simplify]: Simplify (* 1 1) into 1 4.204 * [backup-simplify]: Simplify (/ 1 1) into 1 4.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.204 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.204 * [taylor]: Taking taylor expansion of x in x 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 1 into 1 4.205 * [backup-simplify]: Simplify (* 1 1) into 1 4.205 * [backup-simplify]: Simplify (* 1 1) into 1 4.206 * [backup-simplify]: Simplify (/ 1 1) into 1 4.206 * [backup-simplify]: Simplify 1 into 1 4.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.208 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.211 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.218 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.223 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 (- x))) 4)) into (pow x 4) 4.229 * * * * [progress]: [ 2 / 3 ] generating series at (2) 4.231 * [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))) 4.231 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in (x) around 0 4.231 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 4.231 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 4.231 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 4.231 * [taylor]: Taking taylor expansion of 1.0 in x 4.231 * [backup-simplify]: Simplify 1.0 into 1.0 4.231 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.231 * [taylor]: Taking taylor expansion of x in x 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.231 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 4.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.231 * [taylor]: Taking taylor expansion of x in x 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.231 * [taylor]: Taking taylor expansion of 1.0 in x 4.232 * [backup-simplify]: Simplify 1.0 into 1.0 4.232 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.233 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.233 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 4.234 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.234 * [backup-simplify]: Simplify (+ 0 0) into 0 4.234 * [backup-simplify]: Simplify (+ 0 0) into 0 4.235 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 4.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.236 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 4.236 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 4.236 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 4.236 * [taylor]: Taking taylor expansion of 1.0 in x 4.236 * [backup-simplify]: Simplify 1.0 into 1.0 4.236 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.236 * [taylor]: Taking taylor expansion of x in x 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify 1 into 1 4.236 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 4.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.237 * [taylor]: Taking taylor expansion of x in x 4.237 * [backup-simplify]: Simplify 0 into 0 4.237 * [backup-simplify]: Simplify 1 into 1 4.237 * [taylor]: Taking taylor expansion of 1.0 in x 4.237 * [backup-simplify]: Simplify 1.0 into 1.0 4.237 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.238 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.238 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 4.239 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.239 * [backup-simplify]: Simplify (+ 0 0) into 0 4.239 * [backup-simplify]: Simplify (+ 0 0) into 0 4.240 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 4.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.242 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify (+ 0 0) into 0 4.243 * [backup-simplify]: Simplify (* 1 1) into 1 4.243 * [backup-simplify]: Simplify (+ 1 0) into 1 4.248 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 1 1.0)) (* 0 (/ 0 1.0)))) into (- 1.0) 4.252 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.5 (sqrt 1.0)) 4.253 * [backup-simplify]: Simplify (/ -0.5 (sqrt 1.0)) into (/ -0.5 (sqrt 1.0)) 4.254 * [backup-simplify]: Simplify (+ 0 0) into 0 4.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.255 * [backup-simplify]: Simplify (+ 0 0) into 0 4.256 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 1 1.0)) (* (- 1.0) (/ 0 1.0)))) into 0 4.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.5 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify (* 1 1) into 1 4.259 * [backup-simplify]: Simplify (* 1 1) into 1 4.259 * [backup-simplify]: Simplify (- 1) into -1 4.260 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.261 * [backup-simplify]: Simplify (+ 0 0) into 0 4.268 * [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 4.274 * [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)) 4.275 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt 1.0) 3)) into (/ -0.125 (pow (sqrt 1.0) 3)) 4.278 * [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))))) 4.279 * [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))) 4.279 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 4.279 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 4.279 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 4.280 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 4.280 * [taylor]: Taking taylor expansion of 1.0 in x 4.280 * [backup-simplify]: Simplify 1.0 into 1.0 4.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.280 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.280 * [taylor]: Taking taylor expansion of x in x 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 1 into 1 4.280 * [backup-simplify]: Simplify (* 1 1) into 1 4.280 * [backup-simplify]: Simplify (* 1 1) into 1 4.280 * [backup-simplify]: Simplify (/ 1 1) into 1 4.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 4.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.281 * [taylor]: Taking taylor expansion of x in x 4.281 * [backup-simplify]: Simplify 0 into 0 4.281 * [backup-simplify]: Simplify 1 into 1 4.281 * [backup-simplify]: Simplify (* 1 1) into 1 4.281 * [backup-simplify]: Simplify (/ 1 1) into 1 4.281 * [taylor]: Taking taylor expansion of 1.0 in x 4.281 * [backup-simplify]: Simplify 1.0 into 1.0 4.282 * [backup-simplify]: Simplify (- 1) into -1 4.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.282 * [backup-simplify]: Simplify (+ 1 0) into 1 4.282 * [backup-simplify]: Simplify (/ -1 1) into -1 4.283 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.284 * [backup-simplify]: Simplify (- 0) into 0 4.285 * [backup-simplify]: Simplify (+ 0 0) into 0 4.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (+ 0 0) into 0 4.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.287 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 4.287 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 4.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 4.287 * [taylor]: Taking taylor expansion of 1.0 in x 4.287 * [backup-simplify]: Simplify 1.0 into 1.0 4.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.287 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.287 * [taylor]: Taking taylor expansion of x in x 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 1 into 1 4.289 * [backup-simplify]: Simplify (* 1 1) into 1 4.289 * [backup-simplify]: Simplify (* 1 1) into 1 4.289 * [backup-simplify]: Simplify (/ 1 1) into 1 4.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 4.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.289 * [taylor]: Taking taylor expansion of x in x 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.290 * [backup-simplify]: Simplify (* 1 1) into 1 4.290 * [backup-simplify]: Simplify (/ 1 1) into 1 4.290 * [taylor]: Taking taylor expansion of 1.0 in x 4.290 * [backup-simplify]: Simplify 1.0 into 1.0 4.290 * [backup-simplify]: Simplify (- 1) into -1 4.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.291 * [backup-simplify]: Simplify (+ 1 0) into 1 4.291 * [backup-simplify]: Simplify (/ -1 1) into -1 4.291 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.293 * [backup-simplify]: Simplify (- 0) into 0 4.293 * [backup-simplify]: Simplify (+ 0 0) into 0 4.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.294 * [backup-simplify]: Simplify (+ 0 0) into 0 4.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.296 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.298 * [backup-simplify]: Simplify (- 0) into 0 4.298 * [backup-simplify]: Simplify (+ 0 0) into 0 4.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.300 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 1.0 1)) (* 0 (/ 0 1)))) into 1.0 4.305 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.305 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 4.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.308 * [backup-simplify]: Simplify (- 0) into 0 4.308 * [backup-simplify]: Simplify (+ 0 0) into 0 4.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.310 * [backup-simplify]: Simplify (+ 0 0) into 0 4.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 1.0 1)) (* 1.0 (/ 0 1)))) into 0 4.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.311 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.315 * [backup-simplify]: Simplify (- 0) into 0 4.315 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.318 * [backup-simplify]: Simplify (+ 0 0) into 0 4.321 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 4.325 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 4.327 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 4.329 * [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))))) 4.331 * [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))) 4.331 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 4.331 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 4.331 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 4.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 4.331 * [taylor]: Taking taylor expansion of 1.0 in x 4.331 * [backup-simplify]: Simplify 1.0 into 1.0 4.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.331 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.331 * [taylor]: Taking taylor expansion of x in x 4.331 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify 1 into 1 4.331 * [backup-simplify]: Simplify (* 1 1) into 1 4.332 * [backup-simplify]: Simplify (* 1 1) into 1 4.332 * [backup-simplify]: Simplify (/ 1 1) into 1 4.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 4.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.332 * [taylor]: Taking taylor expansion of x in x 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify 1 into 1 4.332 * [backup-simplify]: Simplify (* 1 1) into 1 4.332 * [backup-simplify]: Simplify (/ 1 1) into 1 4.332 * [taylor]: Taking taylor expansion of 1.0 in x 4.332 * [backup-simplify]: Simplify 1.0 into 1.0 4.333 * [backup-simplify]: Simplify (- 1) into -1 4.333 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.333 * [backup-simplify]: Simplify (+ 1 0) into 1 4.334 * [backup-simplify]: Simplify (/ -1 1) into -1 4.334 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.335 * [backup-simplify]: Simplify (- 0) into 0 4.336 * [backup-simplify]: Simplify (+ 0 0) into 0 4.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.337 * [backup-simplify]: Simplify (+ 0 0) into 0 4.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.338 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 4.338 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 4.338 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 4.338 * [taylor]: Taking taylor expansion of 1.0 in x 4.338 * [backup-simplify]: Simplify 1.0 into 1.0 4.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.338 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.338 * [taylor]: Taking taylor expansion of x in x 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 1 into 1 4.338 * [backup-simplify]: Simplify (* 1 1) into 1 4.339 * [backup-simplify]: Simplify (* 1 1) into 1 4.339 * [backup-simplify]: Simplify (/ 1 1) into 1 4.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 4.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.339 * [taylor]: Taking taylor expansion of x in x 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (* 1 1) into 1 4.339 * [backup-simplify]: Simplify (/ 1 1) into 1 4.340 * [taylor]: Taking taylor expansion of 1.0 in x 4.340 * [backup-simplify]: Simplify 1.0 into 1.0 4.340 * [backup-simplify]: Simplify (- 1) into -1 4.340 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.340 * [backup-simplify]: Simplify (+ 1 0) into 1 4.341 * [backup-simplify]: Simplify (/ -1 1) into -1 4.341 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (- 0) into 0 4.343 * [backup-simplify]: Simplify (+ 0 0) into 0 4.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.344 * [backup-simplify]: Simplify (+ 0 0) into 0 4.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.345 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.345 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.347 * [backup-simplify]: Simplify (- 0) into 0 4.348 * [backup-simplify]: Simplify (+ 0 0) into 0 4.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 1.0 1)) (* 0 (/ 0 1)))) into 1.0 4.354 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.355 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 4.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.357 * [backup-simplify]: Simplify (- 0) into 0 4.357 * [backup-simplify]: Simplify (+ 0 0) into 0 4.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.359 * [backup-simplify]: Simplify (+ 0 0) into 0 4.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 1.0 1)) (* 1.0 (/ 0 1)))) into 0 4.361 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.361 * [backup-simplify]: Simplify 0 into 0 4.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.364 * [backup-simplify]: Simplify (- 0) into 0 4.364 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.366 * [backup-simplify]: Simplify (+ 0 0) into 0 4.369 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 4.374 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 4.375 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 4.379 * [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)))))) 4.379 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 4.380 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* x x))) into (sqrt (+ (pow x 2) 1.0)) 4.380 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 4.380 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 4.380 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 4.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.380 * [taylor]: Taking taylor expansion of x in x 4.380 * [backup-simplify]: Simplify 0 into 0 4.380 * [backup-simplify]: Simplify 1 into 1 4.380 * [taylor]: Taking taylor expansion of 1.0 in x 4.380 * [backup-simplify]: Simplify 1.0 into 1.0 4.380 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.380 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.381 * [backup-simplify]: Simplify (+ 0 0) into 0 4.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.381 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 4.381 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 4.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.381 * [taylor]: Taking taylor expansion of x in x 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify 1 into 1 4.381 * [taylor]: Taking taylor expansion of 1.0 in x 4.381 * [backup-simplify]: Simplify 1.0 into 1.0 4.382 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.382 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.382 * [backup-simplify]: Simplify (+ 0 0) into 0 4.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.383 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.383 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify (* 1 1) into 1 4.384 * [backup-simplify]: Simplify (+ 1 0) into 1 4.386 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.386 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 4.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.387 * [backup-simplify]: Simplify (+ 0 0) into 0 4.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.389 * [backup-simplify]: Simplify (+ 0 0) into 0 4.393 * [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)) 4.395 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.397 * [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)))) 4.398 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (/ 1 (pow x 2)) 1.0)) 4.398 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 4.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 4.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 4.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.398 * [taylor]: Taking taylor expansion of x in x 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 1 into 1 4.398 * [backup-simplify]: Simplify (* 1 1) into 1 4.398 * [backup-simplify]: Simplify (/ 1 1) into 1 4.398 * [taylor]: Taking taylor expansion of 1.0 in x 4.398 * [backup-simplify]: Simplify 1.0 into 1.0 4.399 * [backup-simplify]: Simplify (+ 1 0) into 1 4.399 * [backup-simplify]: Simplify (sqrt 1) into 1 4.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.400 * [backup-simplify]: Simplify (+ 0 0) into 0 4.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 4.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 4.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.401 * [taylor]: Taking taylor expansion of x in x 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [backup-simplify]: Simplify (* 1 1) into 1 4.401 * [backup-simplify]: Simplify (/ 1 1) into 1 4.401 * [taylor]: Taking taylor expansion of 1.0 in x 4.401 * [backup-simplify]: Simplify 1.0 into 1.0 4.402 * [backup-simplify]: Simplify (+ 1 0) into 1 4.402 * [backup-simplify]: Simplify (sqrt 1) into 1 4.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.403 * [backup-simplify]: Simplify (+ 0 0) into 0 4.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.404 * [backup-simplify]: Simplify 1 into 1 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.405 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.407 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 4.407 * [backup-simplify]: Simplify 0.5 into 0.5 4.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.409 * [backup-simplify]: Simplify (+ 0 0) into 0 4.409 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 4.409 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.411 * [backup-simplify]: Simplify (+ 0 0) into 0 4.414 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 4.414 * [backup-simplify]: Simplify -0.125 into -0.125 4.414 * [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)))) 4.415 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (/ 1 (pow x 2)) 1.0)) 4.415 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 4.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 4.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 4.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.415 * [taylor]: Taking taylor expansion of x in x 4.415 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify 1 into 1 4.415 * [backup-simplify]: Simplify (* 1 1) into 1 4.415 * [backup-simplify]: Simplify (/ 1 1) into 1 4.415 * [taylor]: Taking taylor expansion of 1.0 in x 4.415 * [backup-simplify]: Simplify 1.0 into 1.0 4.416 * [backup-simplify]: Simplify (+ 1 0) into 1 4.416 * [backup-simplify]: Simplify (sqrt 1) into 1 4.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.417 * [backup-simplify]: Simplify (+ 0 0) into 0 4.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.418 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 4.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 4.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.418 * [taylor]: Taking taylor expansion of x in x 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify 1 into 1 4.418 * [backup-simplify]: Simplify (* 1 1) into 1 4.418 * [backup-simplify]: Simplify (/ 1 1) into 1 4.418 * [taylor]: Taking taylor expansion of 1.0 in x 4.418 * [backup-simplify]: Simplify 1.0 into 1.0 4.419 * [backup-simplify]: Simplify (+ 1 0) into 1 4.419 * [backup-simplify]: Simplify (sqrt 1) into 1 4.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.420 * [backup-simplify]: Simplify (+ 0 0) into 0 4.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.421 * [backup-simplify]: Simplify 1 into 1 4.421 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.423 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.426 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 4.427 * [backup-simplify]: Simplify 0.5 into 0.5 4.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.429 * [backup-simplify]: Simplify (+ 0 0) into 0 4.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 4.431 * [backup-simplify]: Simplify 0 into 0 4.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.434 * [backup-simplify]: Simplify (+ 0 0) into 0 4.439 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 4.439 * [backup-simplify]: Simplify -0.125 into -0.125 4.440 * [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)))) 4.440 * * * [progress]: simplifying candidates 4.440 * * * * [progress]: [ 1 / 169 ] simplifiying candidate #real (real->posit16 (* (* x x) (* x x)))))) (sqrt (+ 1.0 (* x x)))))> 4.440 * * * * [progress]: [ 2 / 169 ] simplifiying candidate # 4.440 * * * * [progress]: [ 3 / 169 ] simplifiying candidate # 4.440 * * * * [progress]: [ 4 / 169 ] simplifiying candidate # 4.440 * * * * [progress]: [ 5 / 169 ] simplifiying candidate # 4.441 * * * * [progress]: [ 6 / 169 ] simplifiying candidate # 4.441 * * * * [progress]: [ 7 / 169 ] simplifiying candidate # 4.441 * * * * [progress]: [ 8 / 169 ] simplifiying candidate # 4.441 * * * * [progress]: [ 9 / 169 ] simplifiying candidate # 4.441 * * * * [progress]: [ 10 / 169 ] simplifiying candidate # 4.441 * * * * [progress]: [ 11 / 169 ] simplifiying candidate # 4.441 * * * * [progress]: [ 12 / 169 ] simplifiying candidate # 4.441 * * * * [progress]: [ 13 / 169 ] simplifiying candidate # 4.441 * * * * [progress]: [ 14 / 169 ] simplifiying candidate # 4.441 * * * * [progress]: [ 15 / 169 ] simplifiying candidate # 4.441 * * * * [progress]: [ 16 / 169 ] simplifiying candidate # 4.441 * * * * [progress]: [ 17 / 169 ] simplifiying candidate # 4.441 * * * * [progress]: [ 18 / 169 ] simplifiying candidate # 4.441 * * * * [progress]: [ 19 / 169 ] simplifiying candidate # 4.441 * * * * [progress]: [ 20 / 169 ] simplifiying candidate # 4.442 * * * * [progress]: [ 21 / 169 ] simplifiying candidate # 4.442 * * * * [progress]: [ 22 / 169 ] simplifiying candidate # 4.442 * * * * [progress]: [ 23 / 169 ] simplifiying candidate # 4.442 * * * * [progress]: [ 24 / 169 ] simplifiying candidate # 4.442 * * * * [progress]: [ 25 / 169 ] simplifiying candidate # 4.442 * * * * [progress]: [ 26 / 169 ] simplifiying candidate # 4.442 * * * * [progress]: [ 27 / 169 ] simplifiying candidate # 4.442 * * * * [progress]: [ 28 / 169 ] simplifiying candidate # 4.442 * * * * [progress]: [ 29 / 169 ] simplifiying candidate # 4.442 * * * * [progress]: [ 30 / 169 ] simplifiying candidate # 4.442 * * * * [progress]: [ 31 / 169 ] simplifiying candidate # 4.442 * * * * [progress]: [ 32 / 169 ] simplifiying candidate # 4.442 * * * * [progress]: [ 33 / 169 ] simplifiying candidate # 4.442 * * * * [progress]: [ 34 / 169 ] simplifiying candidate # 4.442 * * * * [progress]: [ 35 / 169 ] simplifiying candidate # 4.443 * * * * [progress]: [ 36 / 169 ] simplifiying candidate # 4.443 * * * * [progress]: [ 37 / 169 ] simplifiying candidate # 4.443 * * * * [progress]: [ 38 / 169 ] simplifiying candidate # 4.443 * * * * [progress]: [ 39 / 169 ] simplifiying candidate # 4.443 * * * * [progress]: [ 40 / 169 ] simplifiying candidate # 4.443 * * * * [progress]: [ 41 / 169 ] simplifiying candidate # 4.443 * * * * [progress]: [ 42 / 169 ] simplifiying candidate # 4.443 * * * * [progress]: [ 43 / 169 ] simplifiying candidate # 4.443 * * * * [progress]: [ 44 / 169 ] simplifiying candidate # 4.443 * * * * [progress]: [ 45 / 169 ] simplifiying candidate # 4.443 * * * * [progress]: [ 46 / 169 ] simplifiying candidate # 4.443 * * * * [progress]: [ 47 / 169 ] simplifiying candidate # 4.443 * * * * [progress]: [ 48 / 169 ] simplifiying candidate # 4.443 * * * * [progress]: [ 49 / 169 ] simplifiying candidate # 4.444 * * * * [progress]: [ 50 / 169 ] simplifiying candidate # 4.444 * * * * [progress]: [ 51 / 169 ] simplifiying candidate # 4.444 * * * * [progress]: [ 52 / 169 ] simplifiying candidate # 4.444 * * * * [progress]: [ 53 / 169 ] simplifiying candidate # 4.444 * * * * [progress]: [ 54 / 169 ] simplifiying candidate # 4.444 * * * * [progress]: [ 55 / 169 ] simplifiying candidate # 4.444 * * * * [progress]: [ 56 / 169 ] simplifiying candidate # 4.444 * * * * [progress]: [ 57 / 169 ] simplifiying candidate # 4.444 * * * * [progress]: [ 58 / 169 ] simplifiying candidate # 4.444 * * * * [progress]: [ 59 / 169 ] simplifiying candidate # 4.444 * * * * [progress]: [ 60 / 169 ] simplifiying candidate # 4.444 * * * * [progress]: [ 61 / 169 ] simplifiying candidate # 4.444 * * * * [progress]: [ 62 / 169 ] simplifiying candidate # 4.444 * * * * [progress]: [ 63 / 169 ] simplifiying candidate # 4.444 * * * * [progress]: [ 64 / 169 ] simplifiying candidate # 4.445 * * * * [progress]: [ 65 / 169 ] simplifiying candidate # 4.445 * * * * [progress]: [ 66 / 169 ] simplifiying candidate # 4.445 * * * * [progress]: [ 67 / 169 ] simplifiying candidate #real (real->posit16 (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x)))))))> 4.445 * * * * [progress]: [ 68 / 169 ] simplifiying candidate # 4.445 * * * * [progress]: [ 69 / 169 ] simplifiying candidate # 4.445 * * * * [progress]: [ 70 / 169 ] simplifiying candidate # 4.445 * * * * [progress]: [ 71 / 169 ] simplifiying candidate # 4.445 * * * * [progress]: [ 72 / 169 ] simplifiying candidate # 4.445 * * * * [progress]: [ 73 / 169 ] simplifiying candidate # 4.445 * * * * [progress]: [ 74 / 169 ] simplifiying candidate # 4.445 * * * * [progress]: [ 75 / 169 ] simplifiying candidate # 4.445 * * * * [progress]: [ 76 / 169 ] simplifiying candidate # 4.445 * * * * [progress]: [ 77 / 169 ] simplifiying candidate # 4.445 * * * * [progress]: [ 78 / 169 ] simplifiying candidate # 4.445 * * * * [progress]: [ 79 / 169 ] simplifiying candidate # 4.446 * * * * [progress]: [ 80 / 169 ] simplifiying candidate # 4.446 * * * * [progress]: [ 81 / 169 ] simplifiying candidate # 4.446 * * * * [progress]: [ 82 / 169 ] simplifiying candidate # 4.446 * * * * [progress]: [ 83 / 169 ] simplifiying candidate # 4.446 * * * * [progress]: [ 84 / 169 ] simplifiying candidate # 4.446 * * * * [progress]: [ 85 / 169 ] simplifiying candidate # 4.446 * * * * [progress]: [ 86 / 169 ] simplifiying candidate # 4.446 * * * * [progress]: [ 87 / 169 ] simplifiying candidate # 4.446 * * * * [progress]: [ 88 / 169 ] simplifiying candidate # 4.446 * * * * [progress]: [ 89 / 169 ] simplifiying candidate # 4.446 * * * * [progress]: [ 90 / 169 ] simplifiying candidate # 4.446 * * * * [progress]: [ 91 / 169 ] simplifiying candidate # 4.446 * * * * [progress]: [ 92 / 169 ] simplifiying candidate # 4.447 * * * * [progress]: [ 93 / 169 ] simplifiying candidate # 4.447 * * * * [progress]: [ 94 / 169 ] simplifiying candidate # 4.447 * * * * [progress]: [ 95 / 169 ] simplifiying candidate # 4.447 * * * * [progress]: [ 96 / 169 ] simplifiying candidate # 4.447 * * * * [progress]: [ 97 / 169 ] simplifiying candidate # 4.447 * * * * [progress]: [ 98 / 169 ] simplifiying candidate # 4.447 * * * * [progress]: [ 99 / 169 ] simplifiying candidate # 4.447 * * * * [progress]: [ 100 / 169 ] simplifiying candidate # 4.447 * * * * [progress]: [ 101 / 169 ] simplifiying candidate # 4.447 * * * * [progress]: [ 102 / 169 ] simplifiying candidate # 4.447 * * * * [progress]: [ 103 / 169 ] simplifiying candidate # 4.447 * * * * [progress]: [ 104 / 169 ] simplifiying candidate # 4.447 * * * * [progress]: [ 105 / 169 ] simplifiying candidate # 4.447 * * * * [progress]: [ 106 / 169 ] simplifiying candidate # 4.448 * * * * [progress]: [ 107 / 169 ] simplifiying candidate # 4.448 * * * * [progress]: [ 108 / 169 ] simplifiying candidate # 4.448 * * * * [progress]: [ 109 / 169 ] simplifiying candidate # 4.448 * * * * [progress]: [ 110 / 169 ] simplifiying candidate # 4.448 * * * * [progress]: [ 111 / 169 ] simplifiying candidate # 4.448 * * * * [progress]: [ 112 / 169 ] simplifiying candidate # 4.448 * * * * [progress]: [ 113 / 169 ] simplifiying candidate # 4.448 * * * * [progress]: [ 114 / 169 ] simplifiying candidate # 4.448 * * * * [progress]: [ 115 / 169 ] simplifiying candidate # 4.448 * * * * [progress]: [ 116 / 169 ] simplifiying candidate # 4.448 * * * * [progress]: [ 117 / 169 ] simplifiying candidate # 4.448 * * * * [progress]: [ 118 / 169 ] simplifiying candidate # 4.448 * * * * [progress]: [ 119 / 169 ] simplifiying candidate # 4.448 * * * * [progress]: [ 120 / 169 ] simplifiying candidate # 4.448 * * * * [progress]: [ 121 / 169 ] simplifiying candidate # 4.449 * * * * [progress]: [ 122 / 169 ] simplifiying candidate # 4.449 * * * * [progress]: [ 123 / 169 ] simplifiying candidate # 4.449 * * * * [progress]: [ 124 / 169 ] simplifiying candidate # 4.449 * * * * [progress]: [ 125 / 169 ] simplifiying candidate # 4.449 * * * * [progress]: [ 126 / 169 ] simplifiying candidate # 4.449 * * * * [progress]: [ 127 / 169 ] simplifiying candidate # 4.449 * * * * [progress]: [ 128 / 169 ] simplifiying candidate # 4.449 * * * * [progress]: [ 129 / 169 ] simplifiying candidate # 4.449 * * * * [progress]: [ 130 / 169 ] simplifiying candidate # 4.449 * * * * [progress]: [ 131 / 169 ] simplifiying candidate # 4.449 * * * * [progress]: [ 132 / 169 ] simplifiying candidate # 4.449 * * * * [progress]: [ 133 / 169 ] simplifiying candidate # 4.449 * * * * [progress]: [ 134 / 169 ] simplifiying candidate # 4.449 * * * * [progress]: [ 135 / 169 ] simplifiying candidate # 4.449 * * * * [progress]: [ 136 / 169 ] simplifiying candidate # 4.450 * * * * [progress]: [ 137 / 169 ] simplifiying candidate # 4.450 * * * * [progress]: [ 138 / 169 ] simplifiying candidate # 4.450 * * * * [progress]: [ 139 / 169 ] simplifiying candidate # 4.450 * * * * [progress]: [ 140 / 169 ] simplifiying candidate # 4.450 * * * * [progress]: [ 141 / 169 ] simplifiying candidate # 4.450 * * * * [progress]: [ 142 / 169 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1.0 (* x x)))))))> 4.450 * * * * [progress]: [ 143 / 169 ] simplifiying candidate # 4.450 * * * * [progress]: [ 144 / 169 ] simplifiying candidate # 4.450 * * * * [progress]: [ 145 / 169 ] simplifiying candidate # 4.450 * * * * [progress]: [ 146 / 169 ] simplifiying candidate # 4.450 * * * * [progress]: [ 147 / 169 ] simplifiying candidate # 4.450 * * * * [progress]: [ 148 / 169 ] simplifiying candidate # 4.450 * * * * [progress]: [ 149 / 169 ] simplifiying candidate # 4.450 * * * * [progress]: [ 150 / 169 ] simplifiying candidate # 4.450 * * * * [progress]: [ 151 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 152 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 153 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 154 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 155 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 156 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 157 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 158 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 159 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 160 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 161 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 162 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 163 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 164 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 165 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 166 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 167 / 169 ] simplifiying candidate # 4.451 * * * * [progress]: [ 168 / 169 ] simplifiying candidate # 4.452 * * * * [progress]: [ 169 / 169 ] simplifiying candidate # 4.455 * [simplify]: Simplifying: (real->posit16 (* (* x x) (* x x))) (expm1 (* (* x x) (* x x))) (log1p (* (* x x) (* x x))) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ 2 (+ 1 1)) (+ 2 2) (+ 2 (+ 1 1)) (+ 2 (* 2 1)) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) 2) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) (* 2 1)) (* 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) (+ 1 1) (+ 1 1) (+ (+ (log x) (log x)) (+ (log x) (log x))) (+ (+ (log x) (log x)) (log (* x x))) (+ (log (* x x)) (+ (log x) (log x))) (+ (log (* x x)) (log (* x x))) (log (* (* x x) (* x 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))) (sqrt (* (* x x) (* x x))) (sqrt (* (* x x) (* x x))) (* x x) (* x x) (* x x) (* x x) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 2) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 (* 2 1)) (* (* x x) x) (* x (* x x)) (real->posit16 (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))))) (expm1 (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))))) (log1p (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))))) (- (log (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (log (sqrt (+ 1.0 (* x x))))) (log (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))))) (exp (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))))) (/ (* (* (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (* (* (sqrt (+ 1.0 (* x x))) (sqrt (+ 1.0 (* x x)))) (sqrt (+ 1.0 (* x x))))) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 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1.0 1.0) (* (* x x) (* x x)))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ (pow 1.0 3) (pow (* x x) 3)))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (* (sqrt (+ 1.0 (* x x))) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* 1.0 1.0) (* (* x x) (* x x))))))) (* (sqrt (+ 1.0 (* x x))) (sqrt (+ (* 1.0 1.0) (* (* x x) (* x x))))) (real->posit16 (sqrt (+ 1.0 (* x x)))) (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 (+ (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)))) (pow x 4) (pow x 4) (pow x 4) (- (sqrt 1.0) (+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) (- (+ (sqrt 1.0) (* 1/2 (/ (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)))) 4.463 * * [simplify]: iteration 0: 211 enodes 4.675 * * [simplify]: iteration 1: 493 enodes 5.345 * * [simplify]: iteration 2: 1372 enodes 7.095 * * [simplify]: iteration complete: 5001 enodes 7.095 * * [simplify]: Extracting #0: cost 98 inf + 0 7.097 * * [simplify]: Extracting #1: cost 454 inf + 4 7.107 * * [simplify]: Extracting #2: cost 1285 inf + 11871 7.137 * * [simplify]: Extracting #3: cost 1083 inf + 74236 7.167 * * [simplify]: Extracting #4: cost 638 inf + 185756 7.218 * * [simplify]: Extracting #5: cost 94 inf + 331319 7.274 * * [simplify]: Extracting #6: cost 13 inf + 363870 7.340 * * [simplify]: Extracting #7: cost 1 inf + 368014 7.451 * * [simplify]: Extracting #8: cost 0 inf + 368307 7.536 * [simplify]: Simplified to: (real->posit16 (* (* x x) (* x x))) (expm1 (* (* x x) (* x x))) (log1p (* (* x x) (* x x))) 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 (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x))) (expm1 (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x))) (log1p (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x))) (log (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x))) (log (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x))) (exp (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x))) (* (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (hypot (sqrt 1.0) x)) (/ (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x)) (hypot (sqrt 1.0) x))) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x)))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x))) (* (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (hypot (sqrt 1.0) x)) (/ (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x)) (hypot (sqrt 1.0) x))) (/ (fma x x 1.0) (/ (fma x x 1.0) (- 1.0 (* x x)))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x))) (- (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (- (hypot (sqrt 1.0) x)) (* (/ (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (cbrt (hypot (sqrt 1.0) x))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (cbrt (hypot (sqrt 1.0) x)))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (cbrt (hypot (sqrt 1.0) x))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (fabs (cbrt (fma x x 1.0))) (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (cbrt (fma x x 1.0)))) (* (/ (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (hypot (sqrt 1.0) x))) (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (hypot (sqrt 1.0) x))) (* (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (hypot (sqrt 1.0) x)) (* (/ (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (hypot (sqrt 1.0) x))) (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (hypot (sqrt 1.0) x))) (* (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (hypot (sqrt 1.0) x)) (/ (fabs (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (* (cbrt (hypot (sqrt 1.0) x)) (cbrt (hypot (sqrt 1.0) x)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (cbrt (hypot (sqrt 1.0) x))) (/ (fabs (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (fabs (cbrt (fma x x 1.0)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (cbrt (fma x x 1.0)))) (/ (fabs (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (hypot (sqrt 1.0) x))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (hypot (sqrt 1.0) x))) (fabs (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (hypot (sqrt 1.0) x)) (/ (fabs (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (hypot (sqrt 1.0) x))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (hypot (sqrt 1.0) x))) (fabs (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (hypot (sqrt 1.0) x)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (* (cbrt (hypot (sqrt 1.0) x)) (cbrt (hypot (sqrt 1.0) x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (cbrt (hypot (sqrt 1.0) x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (fabs (cbrt (fma x x 1.0)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (cbrt (fma x x 1.0)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (hypot (sqrt 1.0) x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (hypot (sqrt 1.0) x))) (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (hypot (sqrt 1.0) x)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (hypot (sqrt 1.0) x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (hypot (sqrt 1.0) x))) (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (hypot (sqrt 1.0) x)) (/ (/ 1 (cbrt (hypot (sqrt 1.0) x))) (cbrt (hypot (sqrt 1.0) x))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (cbrt (hypot (sqrt 1.0) x))) (/ 1 (fabs (cbrt (fma x x 1.0)))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (cbrt (fma x x 1.0)))) (/ 1 (sqrt (hypot (sqrt 1.0) x))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (hypot (sqrt 1.0) x))) 1 (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x)) (/ 1 (sqrt (hypot (sqrt 1.0) x))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (hypot (sqrt 1.0) x))) 1 (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x)) (/ (/ (hypot (sqrt 1.0) x) (cbrt (hypot (sqrt 1.0) x))) (cbrt (hypot (sqrt 1.0) x))) (/ (sqrt (- 1.0 (* x x))) (cbrt (hypot (sqrt 1.0) x))) (/ (hypot (sqrt 1.0) x) (fabs (cbrt (fma x x 1.0)))) (/ (sqrt (- 1.0 (* x x))) (sqrt (cbrt (fma x x 1.0)))) (/ (hypot (sqrt 1.0) x) (sqrt (hypot (sqrt 1.0) x))) (/ (sqrt (- 1.0 (* x x))) (sqrt (hypot (sqrt 1.0) x))) (hypot (sqrt 1.0) x) (/ (sqrt (- 1.0 (* x x))) (hypot (sqrt 1.0) x)) (/ (hypot (sqrt 1.0) x) (sqrt (hypot (sqrt 1.0) x))) (/ (sqrt (- 1.0 (* x x))) (sqrt (hypot (sqrt 1.0) x))) (hypot (sqrt 1.0) x) (/ (sqrt (- 1.0 (* x x))) (hypot (sqrt 1.0) x)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (* (cbrt (hypot (sqrt 1.0) x)) (cbrt (hypot (sqrt 1.0) x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (cbrt (hypot (sqrt 1.0) x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (fabs (cbrt (fma x x 1.0)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (cbrt (fma x x 1.0)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (hypot (sqrt 1.0) x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (hypot (sqrt 1.0) x))) (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (hypot (sqrt 1.0) x)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (hypot (sqrt 1.0) x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (hypot (sqrt 1.0) x))) (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (hypot (sqrt 1.0) x)) (/ (/ 1 (cbrt (hypot (sqrt 1.0) x))) (cbrt (hypot (sqrt 1.0) x))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (cbrt (hypot (sqrt 1.0) x))) (/ 1 (fabs (cbrt (fma x x 1.0)))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (cbrt (fma x x 1.0)))) (/ 1 (sqrt (hypot (sqrt 1.0) x))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (hypot (sqrt 1.0) x))) 1 (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x)) (/ 1 (sqrt (hypot (sqrt 1.0) x))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (hypot (sqrt 1.0) x))) 1 (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot (sqrt 1.0) x)) (/ 1 (hypot (sqrt 1.0) x)) (/ (hypot (sqrt 1.0) x) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (cbrt (hypot (sqrt 1.0) x))) (cbrt (hypot (sqrt 1.0) x))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (fabs (cbrt (fma x x 1.0)))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (hypot (sqrt 1.0) x))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (hypot (sqrt 1.0) x))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (/ (hypot (sqrt 1.0) x) (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (/ (hypot (sqrt 1.0) x) (sqrt (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (/ (hypot (sqrt 1.0) x) (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (/ (hypot (sqrt 1.0) x) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (hypot (sqrt 1.0) x) (sqrt (- 1.0 (* x x)))) (/ (hypot (sqrt 1.0) x) (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (/ (hypot (sqrt 1.0) x) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (fma 1.0 (* 1.0 1.0) (* (* x x) (* (* x x) (* x x)))))) 1 (* (hypot (sqrt 1.0) x) (sqrt (fma (* (* x x) (* x x)) (* 1.0 1.0) (fma (* 1.0 1.0) (* 1.0 1.0) (* (* (* x x) (* x x)) (* (* x x) (* x x))))))) (* (hypot 1.0 (* x x)) (hypot (sqrt 1.0) x)) (real->posit16 (hypot (sqrt 1.0) x)) (expm1 (hypot (sqrt 1.0) x)) (log1p (hypot (sqrt 1.0) x)) (log (hypot (sqrt 1.0) x)) (exp (hypot (sqrt 1.0) x)) (* (cbrt (hypot (sqrt 1.0) x)) (cbrt (hypot (sqrt 1.0) x))) (cbrt (hypot (sqrt 1.0) x)) (* (hypot (sqrt 1.0) x) (fma x x 1.0)) (fabs (cbrt (fma x x 1.0))) (sqrt (cbrt (fma x x 1.0))) (sqrt (hypot (sqrt 1.0) x)) (sqrt (hypot (sqrt 1.0) x)) 1 (hypot (sqrt 1.0) x) (sqrt (fma 1.0 (* 1.0 1.0) (* (* x x) (* (* x x) (* x x))))) (sqrt (fma 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 (hypot (sqrt 1.0) x)) (sqrt (hypot (sqrt 1.0) x)) (* (* x x) (* x x)) (* (* x x) (* x x)) (* (* x x) (* x x)) (- (sqrt 1.0) (fma (* (/ (* x x) 1.0) (/ (* x x) (sqrt 1.0))) 0.125 (/ (* 0.5 (* x x)) (sqrt 1.0)))) (- (+ (/ 0.5 (* x (sqrt -1))) (* x (sqrt -1))) (/ (/ (/ 0.125 (* x x)) x) (- (sqrt -1)))) (- (- (/ (/ (/ 0.125 (* x x)) x) (- (sqrt -1))) (/ 0.5 (* x (sqrt -1)))) (* x (sqrt -1))) (fma (* (/ (* x x) 1.0) (/ (* x x) (sqrt 1.0))) -1/8 (fma 1/2 (/ (* x x) (sqrt 1.0)) (sqrt 1.0))) (+ x (- (/ 0.5 x) (/ (/ 0.125 (* x x)) x))) (- (- (/ (/ 0.125 (* x x)) x) (/ 0.5 x)) x) 7.551 * * * [progress]: adding candidates to table 8.740 * [progress]: [Phase 3 of 3] Extracting. 8.740 * * [regime]: Finding splitpoints for: (# #) 8.742 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 8.742 * * * * [regimes]: Trying to branch on (* x x) from (# #) 8.822 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 8.904 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 8.980 * * * * [regimes]: Trying to branch on x from (# #) 9.054 * * * [regime]: Found split indices: #