80.192 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying: (sqrt (- 1.0 (* x x))) 0.038 * * [simplify]: iteration 0: 5 enodes 0.039 * * [simplify]: iteration 1: 7 enodes 0.041 * * [simplify]: iteration 2: 11 enodes 0.045 * * [simplify]: iteration complete: 11 enodes 0.045 * * [simplify]: Extracting #0: cost 1 inf + 0 0.045 * * [simplify]: Extracting #1: cost 2 inf + 0 0.045 * * [simplify]: Extracting #2: cost 5 inf + 0 0.045 * * [simplify]: Extracting #3: cost 6 inf + 1 0.045 * * [simplify]: Extracting #4: cost 0 inf + 369 0.045 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.073 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.073 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.073 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [backup-simplify]: Simplify 1.0 into 1.0 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.081 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.082 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [backup-simplify]: Simplify 1.0 into 1.0 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.083 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.084 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (- 1) into -1 0.085 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.086 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.087 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.089 * [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 0.093 * [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)) 0.095 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.098 * [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))))) 0.098 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.098 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.098 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [backup-simplify]: Simplify 1.0 into 1.0 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (* 1 1) into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [backup-simplify]: Simplify (- 1) into -1 0.100 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.100 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.103 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [backup-simplify]: Simplify 1.0 into 1.0 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [backup-simplify]: Simplify (- 1) into -1 0.105 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.105 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [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 0.115 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.116 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.132 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.135 * [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))))) 0.135 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.135 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.135 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [backup-simplify]: Simplify 1.0 into 1.0 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [backup-simplify]: Simplify (- 1) into -1 0.137 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.138 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.140 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.140 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [backup-simplify]: Simplify 1.0 into 1.0 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [backup-simplify]: Simplify (- 1) into -1 0.142 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.143 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.146 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.152 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.153 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.169 * [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 * [simplify]: Simplifying: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (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: 67 enodes 0.203 * * [simplify]: iteration 1: 154 enodes 0.295 * * [simplify]: iteration 2: 446 enodes 0.602 * * [simplify]: iteration 3: 1809 enodes 1.329 * * [simplify]: iteration complete: 5011 enodes 1.329 * * [simplify]: Extracting #0: cost 20 inf + 0 1.329 * * [simplify]: Extracting #1: cost 64 inf + 2 1.330 * * [simplify]: Extracting #2: cost 564 inf + 3 1.335 * * [simplify]: Extracting #3: cost 1340 inf + 8884 1.362 * * [simplify]: Extracting #4: cost 902 inf + 124063 1.409 * * [simplify]: Extracting #5: cost 242 inf + 285165 1.457 * * [simplify]: Extracting #6: cost 84 inf + 335088 1.535 * * [simplify]: Extracting #7: cost 12 inf + 355749 1.600 * * [simplify]: Extracting #8: cost 0 inf + 359145 1.675 * [simplify]: Simplified to: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (* (* 1.0 1.0) 1.0) (* (* x x) (* (* x x) (* x x))))) (sqrt (+ (* (* x x) (* x x)) (* 1.0 (+ 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) (* (/ (* x x) (sqrt 1.0)) (+ 1/2 (* (/ (* x x) 1.0) 1/8)))) (+ (/ (/ 0.5 x) (sqrt -1)) (- (* (sqrt -1) x) (* (/ 0.125 (* x x)) (/ (/ -1 (sqrt -1)) x)))) (- (* (/ 0.125 (* x x)) (/ (/ -1 (sqrt -1)) x)) (+ (/ (/ 0.5 x) (sqrt -1)) (* (sqrt -1) x))) 1.677 * * * [progress]: adding candidates to table 1.750 * * [progress]: iteration 2 / 4 1.750 * * * [progress]: picking best candidate 1.753 * * * * [pick]: Picked # 1.753 * * * [progress]: localizing error 1.765 * * * [progress]: generating rewritten candidates 1.765 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 1.774 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.792 * * * [progress]: generating series expansions 1.792 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 1.792 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 1.792 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 1.792 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.792 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.792 * [taylor]: Taking taylor expansion of 1.0 in x 1.792 * [backup-simplify]: Simplify 1.0 into 1.0 1.792 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.793 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.793 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.794 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.794 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.794 * [taylor]: Taking taylor expansion of 1.0 in x 1.794 * [backup-simplify]: Simplify 1.0 into 1.0 1.794 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.794 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.795 * [backup-simplify]: Simplify (+ 0 0) into 0 1.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.795 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.795 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify (* 1 1) into 1 1.796 * [backup-simplify]: Simplify (- 1) into -1 1.796 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.798 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.798 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 1.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.799 * [backup-simplify]: Simplify (- 0) into 0 1.799 * [backup-simplify]: Simplify (+ 0 0) into 0 1.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.801 * [backup-simplify]: Simplify (- 0) into 0 1.801 * [backup-simplify]: Simplify (+ 0 0) into 0 1.805 * [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)) 1.806 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.808 * [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))))) 1.808 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.808 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.808 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.808 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.808 * [taylor]: Taking taylor expansion of 1.0 in x 1.808 * [backup-simplify]: Simplify 1.0 into 1.0 1.808 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.808 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.808 * [backup-simplify]: Simplify (* 1 1) into 1 1.808 * [backup-simplify]: Simplify (/ 1 1) into 1 1.809 * [backup-simplify]: Simplify (- 1) into -1 1.809 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.809 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.810 * [backup-simplify]: Simplify (- 0) into 0 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.811 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.811 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.811 * [taylor]: Taking taylor expansion of 1.0 in x 1.811 * [backup-simplify]: Simplify 1.0 into 1.0 1.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.811 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.811 * [taylor]: Taking taylor expansion of x in x 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.811 * [backup-simplify]: Simplify (* 1 1) into 1 1.811 * [backup-simplify]: Simplify (/ 1 1) into 1 1.812 * [backup-simplify]: Simplify (- 1) into -1 1.812 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.812 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.813 * [backup-simplify]: Simplify (- 0) into 0 1.813 * [backup-simplify]: Simplify (+ 0 0) into 0 1.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.814 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.814 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify (- 0) into 0 1.816 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.818 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.818 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.821 * [backup-simplify]: Simplify (- 0) into 0 1.821 * [backup-simplify]: Simplify (+ 0 0) into 0 1.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.823 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.826 * [backup-simplify]: Simplify (- 0) into 0 1.826 * [backup-simplify]: Simplify (+ 0 0) into 0 1.832 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.834 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.837 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 1.838 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.838 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.838 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.838 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.838 * [taylor]: Taking taylor expansion of 1.0 in x 1.838 * [backup-simplify]: Simplify 1.0 into 1.0 1.838 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.838 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.838 * [taylor]: Taking taylor expansion of x in x 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (* 1 1) into 1 1.839 * [backup-simplify]: Simplify (/ 1 1) into 1 1.839 * [backup-simplify]: Simplify (- 1) into -1 1.839 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.840 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.842 * [backup-simplify]: Simplify (+ 0 0) into 0 1.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.848 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.848 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.848 * [taylor]: Taking taylor expansion of 1.0 in x 1.848 * [backup-simplify]: Simplify 1.0 into 1.0 1.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.848 * [taylor]: Taking taylor expansion of x in x 1.848 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify (* 1 1) into 1 1.850 * [backup-simplify]: Simplify (/ 1 1) into 1 1.850 * [backup-simplify]: Simplify (- 1) into -1 1.850 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.851 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (- 0) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.854 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.854 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (- 0) into 0 1.857 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.859 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.860 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (- 0) into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (- 0) into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.868 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.869 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.871 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 1.871 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.871 * [backup-simplify]: Simplify (cbrt (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x)))) into (sqrt (- 1.0 (pow x 2))) 1.871 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 1.871 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.871 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.871 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [backup-simplify]: Simplify 1.0 into 1.0 1.871 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.871 * [taylor]: Taking taylor expansion of x in x 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.872 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.872 * [backup-simplify]: Simplify (+ 0 0) into 0 1.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.873 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.873 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.873 * [taylor]: Taking taylor expansion of 1.0 in x 1.873 * [backup-simplify]: Simplify 1.0 into 1.0 1.873 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.873 * [taylor]: Taking taylor expansion of x in x 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.873 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.873 * [backup-simplify]: Simplify (+ 0 0) into 0 1.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.874 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify (* 1 1) into 1 1.875 * [backup-simplify]: Simplify (- 1) into -1 1.875 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.876 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.877 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.878 * [backup-simplify]: Simplify (- 0) into 0 1.878 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.879 * [backup-simplify]: Simplify (- 0) into 0 1.880 * [backup-simplify]: Simplify (+ 0 0) into 0 1.883 * [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)) 1.884 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.886 * [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))))) 1.886 * [backup-simplify]: Simplify (cbrt (* (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (- 1.0 (* (/ 1 x) (/ 1 x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.886 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.886 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.886 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.886 * [taylor]: Taking taylor expansion of 1.0 in x 1.887 * [backup-simplify]: Simplify 1.0 into 1.0 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (* 1 1) into 1 1.887 * [backup-simplify]: Simplify (/ 1 1) into 1 1.887 * [backup-simplify]: Simplify (- 1) into -1 1.888 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.888 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (- 0) into 0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.890 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.890 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.890 * [taylor]: Taking taylor expansion of 1.0 in x 1.890 * [backup-simplify]: Simplify 1.0 into 1.0 1.890 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [backup-simplify]: Simplify (* 1 1) into 1 1.890 * [backup-simplify]: Simplify (/ 1 1) into 1 1.891 * [backup-simplify]: Simplify (- 1) into -1 1.891 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.891 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.892 * [backup-simplify]: Simplify (- 0) into 0 1.892 * [backup-simplify]: Simplify (+ 0 0) into 0 1.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.893 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (- 0) into 0 1.894 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.896 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.897 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (- 0) into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (- 0) into 0 1.902 * [backup-simplify]: Simplify (+ 0 0) into 0 1.905 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.906 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.908 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 1.908 * [backup-simplify]: Simplify (cbrt (* (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (- 1.0 (* (/ 1 (- x)) (/ 1 (- x)))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.908 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.908 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.908 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.908 * [taylor]: Taking taylor expansion of 1.0 in x 1.908 * [backup-simplify]: Simplify 1.0 into 1.0 1.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (* 1 1) into 1 1.909 * [backup-simplify]: Simplify (/ 1 1) into 1 1.909 * [backup-simplify]: Simplify (- 1) into -1 1.910 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.910 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.912 * [backup-simplify]: Simplify (- 0) into 0 1.912 * [backup-simplify]: Simplify (+ 0 0) into 0 1.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.913 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.913 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.913 * [taylor]: Taking taylor expansion of 1.0 in x 1.913 * [backup-simplify]: Simplify 1.0 into 1.0 1.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.913 * [taylor]: Taking taylor expansion of x in x 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.914 * [backup-simplify]: Simplify (* 1 1) into 1 1.914 * [backup-simplify]: Simplify (/ 1 1) into 1 1.915 * [backup-simplify]: Simplify (- 1) into -1 1.915 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.915 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify (- 0) into 0 1.918 * [backup-simplify]: Simplify (+ 0 0) into 0 1.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.919 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.919 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (- 0) into 0 1.922 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.925 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.926 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (- 0) into 0 1.929 * [backup-simplify]: Simplify (+ 0 0) into 0 1.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.933 * [backup-simplify]: Simplify (- 0) into 0 1.933 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.941 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.945 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 1.945 * * * [progress]: simplifying candidates 1.946 * [simplify]: Simplifying: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (log (cbrt (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))))) (exp (cbrt (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (cbrt (* (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (- (pow 1.0 3) (pow (* x x) 3)))) (cbrt (* (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (cbrt (* (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (- (* 1.0 1.0) (* (* x x) (* x x))))) (cbrt (* (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (+ 1.0 (* x x)))) (cbrt (* (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (- (pow 1.0 3) (pow (* x x) 3)))) (cbrt (* (sqrt (+ 1.0 (* x x))) (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (cbrt (* (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (- (* 1.0 1.0) (* (* x x) (* x x))))) (cbrt (* (sqrt (+ 1.0 (* x x))) (+ 1.0 (* x x)))) (cbrt (* (sqrt (- 1.0 (* x x))) (- (pow 1.0 3) (pow (* x x) 3)))) (cbrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (cbrt (* (sqrt (- 1.0 (* x x))) (- (* 1.0 1.0) (* (* x x) (* x x))))) (cbrt (+ 1.0 (* x x))) (cbrt (* (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (- 1.0 (* x x)))) (cbrt (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (cbrt (* (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (- 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))) (* (cbrt (cbrt (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))))) (cbrt (cbrt (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x)))))) (cbrt (cbrt (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))))) (* (* (cbrt (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x)))) (cbrt (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))))) (cbrt (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))))) (sqrt (cbrt (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))))) (sqrt (cbrt (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 1.948 * * [simplify]: iteration 0: 104 enodes 1.990 * * [simplify]: iteration 1: 228 enodes 2.064 * * [simplify]: iteration 2: 680 enodes 2.490 * * [simplify]: iteration 3: 2422 enodes 3.247 * * [simplify]: iteration complete: 5000 enodes 3.247 * * [simplify]: Extracting #0: cost 37 inf + 0 3.247 * * [simplify]: Extracting #1: cost 82 inf + 2 3.249 * * [simplify]: Extracting #2: cost 610 inf + 4 3.259 * * [simplify]: Extracting #3: cost 1376 inf + 2305 3.287 * * [simplify]: Extracting #4: cost 949 inf + 89109 3.367 * * [simplify]: Extracting #5: cost 280 inf + 267297 3.468 * * [simplify]: Extracting #6: cost 89 inf + 349374 3.541 * * [simplify]: Extracting #7: cost 19 inf + 360149 3.595 * * [simplify]: Extracting #8: cost 0 inf + 365556 3.671 * [simplify]: Simplified to: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (* (* 1.0 1.0) 1.0) (* (* x (* x x)) (* x (* x x))))) (sqrt (+ (* 1.0 1.0) (* (* x x) (+ 1.0 (* x x))))) (sqrt (* (+ 1.0 (* x x)) (- 1.0 (* x x)))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (cbrt (* (sqrt (- (* (* 1.0 1.0) 1.0) (* (* x (* x x)) (* x (* x x))))) (- (* (* 1.0 1.0) 1.0) (* (* x (* x x)) (* x (* x x)))))) (cbrt (* (+ (* 1.0 1.0) (* (* x x) (+ 1.0 (* x x)))) (sqrt (+ (* 1.0 1.0) (* (* x x) (+ 1.0 (* x x))))))) (cbrt (* (* (+ 1.0 (* x x)) (- 1.0 (* x x))) (sqrt (- (* (* 1.0 1.0) 1.0) (* (* x (* x x)) (* x (* x x))))))) (cbrt (* (sqrt (+ (* 1.0 1.0) (* (* x x) (+ 1.0 (* x x))))) (+ 1.0 (* x x)))) (cbrt (* (sqrt (* (+ 1.0 (* x x)) (- 1.0 (* x x)))) (- (* (* 1.0 1.0) 1.0) (* (* x (* x x)) (* x (* x x)))))) (cbrt (* (+ (* 1.0 1.0) (* (* x x) (+ 1.0 (* x x)))) (sqrt (+ 1.0 (* x x))))) (cbrt (* (sqrt (* (+ 1.0 (* x x)) (- 1.0 (* x x)))) (* (+ 1.0 (* x x)) (- 1.0 (* x x))))) (cbrt (* (+ 1.0 (* x x)) (sqrt (+ 1.0 (* x x))))) (cbrt (* (sqrt (- 1.0 (* x x))) (- (* (* 1.0 1.0) 1.0) (* (* x (* x x)) (* x (* x x)))))) (cbrt (+ (* 1.0 1.0) (* (* x x) (+ 1.0 (* x x))))) (cbrt (* (+ 1.0 (* x x)) (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))))) (cbrt (+ 1.0 (* x x))) (cbrt (* (sqrt (- (* (* 1.0 1.0) 1.0) (* (* x (* x x)) (* x (* x x))))) (- 1.0 (* x x)))) (cbrt (sqrt (+ (* 1.0 1.0) (* (* x x) (+ 1.0 (* x x)))))) (cbrt (* (- 1.0 (* x x)) (sqrt (* (+ 1.0 (* x x)) (- 1.0 (* x x)))))) (cbrt (sqrt (+ 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (+ (sqrt 1.0) (- (* (/ -1/8 1.0) (/ (* x x) (/ (sqrt 1.0) (* x x)))) (/ 1/2 (/ (sqrt 1.0) (* x x))))) (- (+ (/ (/ 0.5 x) (sqrt -1)) (* (sqrt -1) x)) (/ (/ 0.125 (* (sqrt -1) -1)) (* x (* x x)))) (+ (/ (/ 0.125 (* (sqrt -1) -1)) (* x (* x x))) (- (/ -1 (/ (* (sqrt -1) x) 0.5)) (* (sqrt -1) x))) (+ (sqrt 1.0) (- (* (/ -1/8 1.0) (/ (* x x) (/ (sqrt 1.0) (* x x)))) (/ 1/2 (/ (sqrt 1.0) (* x x))))) (- (+ (/ (/ 0.5 x) (sqrt -1)) (* (sqrt -1) x)) (/ (/ 0.125 (* (sqrt -1) -1)) (* x (* x x)))) (+ (/ (/ 0.125 (* (sqrt -1) -1)) (* x (* x x))) (- (/ -1 (/ (* (sqrt -1) x) 0.5)) (* (sqrt -1) x))) 3.674 * * * [progress]: adding candidates to table 3.931 * [progress]: [Phase 3 of 3] Extracting. 3.931 * * [regime]: Finding splitpoints for: (# #) 3.931 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 3.931 * * * * [regimes]: Trying to branch on (* x x) from (# #) 3.954 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 3.968 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 3.991 * * * * [regimes]: Trying to branch on x from (# #) 4.025 * * * [regime]: Found split indices: #