15.679 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.039 * [simplify]: Simplifying: (sqrt (- 1.0 (* x x))) 0.039 * * [simplify]: iteration 0: 5 enodes 0.041 * * [simplify]: iteration 1: 7 enodes 0.042 * * [simplify]: iteration 2: 11 enodes 0.044 * * [simplify]: iteration 3: 13 enodes 0.045 * * [simplify]: iteration complete: 13 enodes 0.046 * * [simplify]: Extracting #0: cost 1 inf + 0 0.046 * * [simplify]: Extracting #1: cost 2 inf + 0 0.046 * * [simplify]: Extracting #2: cost 7 inf + 0 0.046 * * [simplify]: Extracting #3: cost 2 inf + 165 0.046 * * [simplify]: Extracting #4: cost 0 inf + 369 0.046 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.062 * * * [progress]: generating series expansions 0.062 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.063 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.063 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.063 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [backup-simplify]: Simplify 1.0 into 1.0 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.064 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.065 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.065 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [backup-simplify]: Simplify 1.0 into 1.0 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.065 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.066 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (* 1 1) into 1 0.067 * [backup-simplify]: Simplify (- 1) into -1 0.067 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.074 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.075 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [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)) 0.086 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.090 * [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))))) 0.090 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.090 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.090 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.090 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [backup-simplify]: Simplify 1.0 into 1.0 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [backup-simplify]: Simplify (- 1) into -1 0.092 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.092 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.095 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.095 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [backup-simplify]: Simplify 1.0 into 1.0 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (* 1 1) into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [backup-simplify]: Simplify (- 1) into -1 0.097 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.097 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.100 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.106 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.106 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.121 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.123 * [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))))) 0.123 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.123 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.123 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [backup-simplify]: Simplify 1.0 into 1.0 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (- 1) into -1 0.124 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.125 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.126 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [backup-simplify]: Simplify 1.0 into 1.0 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [backup-simplify]: Simplify (- 1) into -1 0.127 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.128 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.130 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- 0) into 0 0.131 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.133 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.134 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.143 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.144 * [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)))))) 0.145 * * * [progress]: simplifying candidates 0.145 * [simplify]: Simplifying: (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (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)))))) 0.145 * * [simplify]: iteration 0: 69 enodes 0.174 * * [simplify]: iteration 1: 162 enodes 0.239 * * [simplify]: iteration 2: 508 enodes 0.583 * * [simplify]: iteration 3: 2063 enodes 1.671 * * [simplify]: iteration complete: 5003 enodes 1.671 * * [simplify]: Extracting #0: cost 22 inf + 0 1.672 * * [simplify]: Extracting #1: cost 154 inf + 2 1.677 * * [simplify]: Extracting #2: cost 778 inf + 548 1.691 * * [simplify]: Extracting #3: cost 1230 inf + 14211 1.729 * * [simplify]: Extracting #4: cost 555 inf + 128445 1.785 * * [simplify]: Extracting #5: cost 298 inf + 211297 1.861 * * [simplify]: Extracting #6: cost 55 inf + 296698 1.957 * * [simplify]: Extracting #7: cost 5 inf + 310033 2.059 * * [simplify]: Extracting #8: cost 0 inf + 311498 2.115 * [simplify]: Simplified to: (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (- 1.0 (* x x)) (sqrt (- 1.0 (* x x)))) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (* 1.0 (* 1.0 1.0)) (* (* (* x x) (* x x)) (* x x)))) (sqrt (fma (* x x) (fma x x 1.0) (* 1.0 1.0))) (sqrt (* (+ 1.0 (* x x)) (- 1.0 (* x x)))) (hypot (sqrt 1.0) x) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (fma -1/8 (* (/ (* x x) 1.0) (/ (* x x) (sqrt 1.0))) (sqrt 1.0)) (/ (* 1/2 (* x x)) (sqrt 1.0))) (- (fma x (sqrt -1) (/ (/ 0.5 x) (sqrt -1))) (- (/ 0.125 (* (* x (* x x)) (sqrt -1))))) (- (- (/ 0.125 (* (* x (* x x)) (sqrt -1)))) (fma x (sqrt -1) (/ (/ 0.5 x) (sqrt -1)))) 2.116 * * * [progress]: adding candidates to table 2.217 * * [progress]: iteration 2 / 4 2.217 * * * [progress]: picking best candidate 2.220 * * * * [pick]: Picked # 2.220 * * * [progress]: localizing error 2.234 * * * [progress]: generating rewritten candidates 2.234 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 2.245 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.268 * * * [progress]: generating series expansions 2.268 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 2.269 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 2.269 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 2.269 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.269 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.269 * [taylor]: Taking taylor expansion of 1.0 in x 2.269 * [backup-simplify]: Simplify 1.0 into 1.0 2.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.269 * [taylor]: Taking taylor expansion of x in x 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify 1 into 1 2.270 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.270 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.270 * [backup-simplify]: Simplify (+ 0 0) into 0 2.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.271 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.271 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.271 * [taylor]: Taking taylor expansion of 1.0 in x 2.271 * [backup-simplify]: Simplify 1.0 into 1.0 2.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.271 * [taylor]: Taking taylor expansion of x in x 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 1 into 1 2.272 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.272 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.273 * [backup-simplify]: Simplify (+ 0 0) into 0 2.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.274 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify (* 1 1) into 1 2.275 * [backup-simplify]: Simplify (- 1) into -1 2.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.278 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 2.279 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 2.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.279 * [backup-simplify]: Simplify (- 0) into 0 2.280 * [backup-simplify]: Simplify (+ 0 0) into 0 2.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.281 * [backup-simplify]: Simplify (- 0) into 0 2.281 * [backup-simplify]: Simplify (+ 0 0) into 0 2.285 * [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)) 2.286 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.288 * [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))))) 2.288 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 2.288 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 2.288 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.288 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.288 * [taylor]: Taking taylor expansion of 1.0 in x 2.288 * [backup-simplify]: Simplify 1.0 into 1.0 2.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.288 * [taylor]: Taking taylor expansion of x in x 2.288 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify 1 into 1 2.289 * [backup-simplify]: Simplify (* 1 1) into 1 2.289 * [backup-simplify]: Simplify (/ 1 1) into 1 2.289 * [backup-simplify]: Simplify (- 1) into -1 2.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.290 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.291 * [backup-simplify]: Simplify (- 0) into 0 2.292 * [backup-simplify]: Simplify (+ 0 0) into 0 2.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 2.292 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.292 * [taylor]: Taking taylor expansion of 1.0 in x 2.292 * [backup-simplify]: Simplify 1.0 into 1.0 2.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.292 * [taylor]: Taking taylor expansion of x in x 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (* 1 1) into 1 2.293 * [backup-simplify]: Simplify (/ 1 1) into 1 2.293 * [backup-simplify]: Simplify (- 1) into -1 2.293 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.294 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.295 * [backup-simplify]: Simplify (- 0) into 0 2.295 * [backup-simplify]: Simplify (+ 0 0) into 0 2.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 2.296 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.296 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.298 * [backup-simplify]: Simplify (- 0) into 0 2.299 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.302 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 2.303 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 2.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.305 * [backup-simplify]: Simplify (- 0) into 0 2.306 * [backup-simplify]: Simplify (+ 0 0) into 0 2.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (- 0) into 0 2.310 * [backup-simplify]: Simplify (+ 0 0) into 0 2.316 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 2.318 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 2.321 * [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))))) 2.321 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 2.321 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 2.321 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.321 * [taylor]: Taking taylor expansion of 1.0 in x 2.321 * [backup-simplify]: Simplify 1.0 into 1.0 2.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.321 * [taylor]: Taking taylor expansion of x in x 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 1 into 1 2.321 * [backup-simplify]: Simplify (* 1 1) into 1 2.322 * [backup-simplify]: Simplify (/ 1 1) into 1 2.322 * [backup-simplify]: Simplify (- 1) into -1 2.323 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.323 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify (- 0) into 0 2.325 * [backup-simplify]: Simplify (+ 0 0) into 0 2.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 2.326 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.326 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.326 * [taylor]: Taking taylor expansion of 1.0 in x 2.326 * [backup-simplify]: Simplify 1.0 into 1.0 2.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.326 * [taylor]: Taking taylor expansion of x in x 2.326 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify 1 into 1 2.326 * [backup-simplify]: Simplify (* 1 1) into 1 2.327 * [backup-simplify]: Simplify (/ 1 1) into 1 2.327 * [backup-simplify]: Simplify (- 1) into -1 2.327 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.328 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.330 * [backup-simplify]: Simplify (- 0) into 0 2.331 * [backup-simplify]: Simplify (+ 0 0) into 0 2.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 2.332 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.332 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.334 * [backup-simplify]: Simplify (- 0) into 0 2.335 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.338 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 2.339 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 2.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.342 * [backup-simplify]: Simplify (- 0) into 0 2.342 * [backup-simplify]: Simplify (+ 0 0) into 0 2.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.346 * [backup-simplify]: Simplify (- 0) into 0 2.347 * [backup-simplify]: Simplify (+ 0 0) into 0 2.353 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 2.355 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 2.359 * [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)))))) 2.359 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.359 * [backup-simplify]: Simplify (cbrt (* (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))))) into (sqrt (- 1.0 (pow x 2))) 2.359 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 2.359 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.359 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.359 * [taylor]: Taking taylor expansion of 1.0 in x 2.359 * [backup-simplify]: Simplify 1.0 into 1.0 2.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.359 * [taylor]: Taking taylor expansion of x in x 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.360 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.361 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.361 * [backup-simplify]: Simplify (+ 0 0) into 0 2.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.362 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.362 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.362 * [taylor]: Taking taylor expansion of 1.0 in x 2.362 * [backup-simplify]: Simplify 1.0 into 1.0 2.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.362 * [taylor]: Taking taylor expansion of x in x 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 1 into 1 2.363 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.363 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.363 * [backup-simplify]: Simplify (+ 0 0) into 0 2.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.365 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify (* 1 1) into 1 2.366 * [backup-simplify]: Simplify (- 1) into -1 2.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.369 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 2.370 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 2.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.371 * [backup-simplify]: Simplify (- 0) into 0 2.371 * [backup-simplify]: Simplify (+ 0 0) into 0 2.373 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 2.373 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.374 * [backup-simplify]: Simplify (- 0) into 0 2.375 * [backup-simplify]: Simplify (+ 0 0) into 0 2.381 * [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)) 2.383 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.390 * [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))))) 2.391 * [backup-simplify]: Simplify (cbrt (* (- 1.0 (* (/ 1 x) (/ 1 x))) (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 2.391 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 2.391 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.391 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.391 * [taylor]: Taking taylor expansion of 1.0 in x 2.391 * [backup-simplify]: Simplify 1.0 into 1.0 2.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.391 * [taylor]: Taking taylor expansion of x in x 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 1 into 1 2.391 * [backup-simplify]: Simplify (* 1 1) into 1 2.392 * [backup-simplify]: Simplify (/ 1 1) into 1 2.392 * [backup-simplify]: Simplify (- 1) into -1 2.393 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.393 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.395 * [backup-simplify]: Simplify (- 0) into 0 2.396 * [backup-simplify]: Simplify (+ 0 0) into 0 2.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 2.396 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.396 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.396 * [taylor]: Taking taylor expansion of 1.0 in x 2.396 * [backup-simplify]: Simplify 1.0 into 1.0 2.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.397 * [taylor]: Taking taylor expansion of x in x 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify 1 into 1 2.397 * [backup-simplify]: Simplify (* 1 1) into 1 2.397 * [backup-simplify]: Simplify (/ 1 1) into 1 2.398 * [backup-simplify]: Simplify (- 1) into -1 2.398 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.399 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.400 * [backup-simplify]: Simplify (- 0) into 0 2.401 * [backup-simplify]: Simplify (+ 0 0) into 0 2.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 2.402 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.402 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.404 * [backup-simplify]: Simplify (- 0) into 0 2.405 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.409 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 2.410 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 2.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.412 * [backup-simplify]: Simplify (- 0) into 0 2.412 * [backup-simplify]: Simplify (+ 0 0) into 0 2.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 2.414 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.417 * [backup-simplify]: Simplify (- 0) into 0 2.417 * [backup-simplify]: Simplify (+ 0 0) into 0 2.424 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 2.426 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 2.429 * [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))))) 2.430 * [backup-simplify]: Simplify (cbrt (* (- 1.0 (* (/ 1 (- x)) (/ 1 (- x)))) (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 2.430 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 2.430 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.430 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.430 * [taylor]: Taking taylor expansion of 1.0 in x 2.430 * [backup-simplify]: Simplify 1.0 into 1.0 2.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.430 * [taylor]: Taking taylor expansion of x in x 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 1 into 1 2.430 * [backup-simplify]: Simplify (* 1 1) into 1 2.431 * [backup-simplify]: Simplify (/ 1 1) into 1 2.431 * [backup-simplify]: Simplify (- 1) into -1 2.432 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.432 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (- 0) into 0 2.434 * [backup-simplify]: Simplify (+ 0 0) into 0 2.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 2.435 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.435 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.435 * [taylor]: Taking taylor expansion of 1.0 in x 2.435 * [backup-simplify]: Simplify 1.0 into 1.0 2.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.435 * [taylor]: Taking taylor expansion of x in x 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify 1 into 1 2.436 * [backup-simplify]: Simplify (* 1 1) into 1 2.436 * [backup-simplify]: Simplify (/ 1 1) into 1 2.437 * [backup-simplify]: Simplify (- 1) into -1 2.437 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.437 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.439 * [backup-simplify]: Simplify (- 0) into 0 2.440 * [backup-simplify]: Simplify (+ 0 0) into 0 2.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 2.441 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.441 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.443 * [backup-simplify]: Simplify (- 0) into 0 2.444 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.447 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 2.448 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 2.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.451 * [backup-simplify]: Simplify (- 0) into 0 2.452 * [backup-simplify]: Simplify (+ 0 0) into 0 2.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 2.453 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.456 * [backup-simplify]: Simplify (- 0) into 0 2.456 * [backup-simplify]: Simplify (+ 0 0) into 0 2.462 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 2.464 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 2.468 * [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)))))) 2.468 * * * [progress]: simplifying candidates 2.469 * [simplify]: Simplifying: (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (expm1 (cbrt (* (- 1.0 (* x x)) (sqrt (- 1.0 (* x x)))))) (log1p (cbrt (* (- 1.0 (* x x)) (sqrt (- 1.0 (* x x)))))) (log (cbrt (* (- 1.0 (* x x)) (sqrt (- 1.0 (* x x)))))) (exp (cbrt (* (- 1.0 (* x x)) (sqrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (* (- (pow 1.0 3) (pow (* x x) 3)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))))) (cbrt (* (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (cbrt (* (- (pow 1.0 3) (pow (* x x) 3)) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (cbrt (* (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))) (sqrt (+ 1.0 (* x x))))) (cbrt (* (- (* 1.0 1.0) (* (* x x) (* x x))) (sqrt (- (pow 1.0 3) (pow (* x x) 3))))) (cbrt (* (+ 1.0 (* x x)) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (cbrt (* (- (* 1.0 1.0) (* (* x x) (* x x))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (cbrt (* (+ 1.0 (* x x)) (sqrt (+ 1.0 (* x x))))) (cbrt (* (- 1.0 (* x x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))))) (cbrt (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (cbrt (* (- 1.0 (* x x)) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (* (- (pow 1.0 3) (pow (* x x) 3)) (sqrt (- 1.0 (* x x))))) (cbrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (cbrt (* (- (* 1.0 1.0) (* (* x x) (* x x))) (sqrt (- 1.0 (* x x))))) (cbrt (+ 1.0 (* x x))) (* (cbrt (cbrt (* (- 1.0 (* x x)) (sqrt (- 1.0 (* x x)))))) (cbrt (cbrt (* (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))))))) (cbrt (cbrt (* (- 1.0 (* x x)) (sqrt (- 1.0 (* x x)))))) (* (* (cbrt (* (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))))) (cbrt (* (- 1.0 (* x x)) (sqrt (- 1.0 (* x x)))))) (cbrt (* (- 1.0 (* x x)) (sqrt (- 1.0 (* x x)))))) (sqrt (cbrt (* (- 1.0 (* x x)) (sqrt (- 1.0 (* x x)))))) (sqrt (cbrt (* (- 1.0 (* x x)) (sqrt (- 1.0 (* x x)))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 2.472 * * [simplify]: iteration 0: 108 enodes 2.519 * * [simplify]: iteration 1: 214 enodes 2.629 * * [simplify]: iteration 2: 613 enodes 2.976 * * [simplify]: iteration 3: 2299 enodes 3.982 * * [simplify]: iteration complete: 5015 enodes 3.982 * * [simplify]: Extracting #0: cost 39 inf + 0 3.982 * * [simplify]: Extracting #1: cost 163 inf + 2 3.985 * * [simplify]: Extracting #2: cost 788 inf + 944 4.006 * * [simplify]: Extracting #3: cost 1132 inf + 21382 4.040 * * [simplify]: Extracting #4: cost 476 inf + 152873 4.122 * * [simplify]: Extracting #5: cost 140 inf + 268172 4.208 * * [simplify]: Extracting #6: cost 30 inf + 309756 4.275 * * [simplify]: Extracting #7: cost 7 inf + 313665 4.374 * * [simplify]: Extracting #8: cost 0 inf + 315716 4.446 * [simplify]: Simplified to: (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (- 1.0 (* x x)) (sqrt (- 1.0 (* x x)))) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (* (* 1.0 1.0) 1.0) (* (* (* x x) x) (* (* x x) x)))) (sqrt (fma (* x x) (* x x) (fma 1.0 (* x x) (* 1.0 1.0)))) (sqrt (* (+ 1.0 (* x x)) (- 1.0 (* x x)))) (hypot (sqrt 1.0) x) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (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 (- 1.0 (* x x))) (cbrt (sqrt (- 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 (* (sqrt (fma (* x x) (* x x) (fma 1.0 (* x x) (* 1.0 1.0)))) (fma (* x x) (* x x) (fma 1.0 (* x x) (* 1.0 1.0))))) (cbrt (* (- (* (* 1.0 1.0) 1.0) (* (* (* x x) x) (* (* x x) x))) (sqrt (fma (- x) (* (* x x) x) (* 1.0 1.0))))) (cbrt (* (fma (* x x) (* x x) (fma 1.0 (* x x) (* 1.0 1.0))) (hypot (sqrt 1.0) x))) (cbrt (* (sqrt (- (* (* 1.0 1.0) 1.0) (* (* (* x x) x) (* (* x x) x)))) (* (+ 1.0 (* x x)) (- 1.0 (* x x))))) (cbrt (* (fma x x 1.0) (sqrt (fma (* x x) (* x x) (fma 1.0 (* x x) (* 1.0 1.0)))))) (cbrt (* (* (+ 1.0 (* x x)) (- 1.0 (* x x))) (sqrt (* (+ 1.0 (* x x)) (- 1.0 (* x x)))))) (cbrt (* (hypot (sqrt 1.0) x) (fma x x 1.0))) (cbrt (* (sqrt (- (* (* 1.0 1.0) 1.0) (* (* (* x x) x) (* (* x x) x)))) (- 1.0 (* x x)))) (cbrt (sqrt (fma (* x x) (* x x) (fma 1.0 (* x x) (* 1.0 1.0))))) (cbrt (* (sqrt (* (+ 1.0 (* x x)) (- 1.0 (* x x)))) (- 1.0 (* x x)))) (cbrt (hypot (sqrt 1.0) x)) (cbrt (* (- (* (* 1.0 1.0) 1.0) (* (* (* x x) x) (* (* x x) x))) (sqrt (- 1.0 (* x x))))) (cbrt (fma (* x x) (* x x) (fma 1.0 (* x x) (* 1.0 1.0)))) (cbrt (* (sqrt (- 1.0 (* x x))) (* (+ 1.0 (* x x)) (- 1.0 (* x x))))) (cbrt (fma x x 1.0)) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (- 1.0 (* x x)) (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (fma (* (/ (* x x) 1.0) (/ (* x x) (sqrt 1.0))) -1/8 (sqrt 1.0)) (/ 1/2 (/ (sqrt 1.0) (* x x)))) (fma 0.5 (/ 1 (* x (sqrt -1))) (fma (- 0.125) (/ -1 (* (* x (sqrt -1)) (* x x))) (* x (sqrt -1)))) (- (/ 0.125 (* x (* (sqrt -1) (- (* x x))))) (fma (sqrt -1) x (/ (/ 0.5 x) (sqrt -1)))) (- (fma (* (/ (* x x) 1.0) (/ (* x x) (sqrt 1.0))) -1/8 (sqrt 1.0)) (/ 1/2 (/ (sqrt 1.0) (* x x)))) (fma 0.5 (/ 1 (* x (sqrt -1))) (fma (- 0.125) (/ -1 (* (* x (sqrt -1)) (* x x))) (* x (sqrt -1)))) (- (/ 0.125 (* x (* (sqrt -1) (- (* x x))))) (fma (sqrt -1) x (/ (/ 0.5 x) (sqrt -1)))) 4.449 * * * [progress]: adding candidates to table 4.667 * [progress]: [Phase 3 of 3] Extracting. 4.668 * * [regime]: Finding splitpoints for: (# #) 4.668 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 4.668 * * * * [regimes]: Trying to branch on (* x x) from (# #) 4.708 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 4.740 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 4.776 * * * * [regimes]: Trying to branch on x from (# #) 4.822 * * * [regime]: Found split indices: #