17.309 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying: (sqrt (- 1.0 (* x x))) 0.026 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.026 * * [simplify]: Extracting # 1 : cost 2 inf + 0 0.026 * * [simplify]: Extracting # 2 : cost 4 inf + 0 0.026 * * [simplify]: Extracting # 3 : cost 4 inf + 1 0.026 * * [simplify]: Extracting # 4 : cost 0 inf + 247 0.026 * * [simplify]: iteration 0 : 5 enodes (cost 122 ) 0.027 * * [simplify]: Extracting # 0 : cost 0 inf + 247 0.027 * * [simplify]: Extracting # 1 : cost 1 inf + 247 0.027 * * [simplify]: Extracting # 2 : cost 0 inf + 328 0.027 * * [simplify]: iteration 1 : 7 enodes (cost 122 ) 0.028 * * [simplify]: Extracting # 0 : cost 0 inf + 328 0.028 * * [simplify]: Extracting # 1 : cost 1 inf + 328 0.028 * * [simplify]: Extracting # 2 : cost 0 inf + 369 0.028 * * [simplify]: iteration 2 : 11 enodes (cost 122 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 inf + 369 0.030 * * [simplify]: iteration 3 : 13 enodes (cost 122 ) 0.031 * * [simplify]: Extracting # 0 : cost 0 inf + 369 0.031 * * [simplify]: iteration done: 13 enodes (cost 122 ) 0.031 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.056 * * * [progress]: generating series expansions 0.056 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.056 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.056 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.056 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.056 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [backup-simplify]: Simplify 1.0 into 1.0 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.058 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.059 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.059 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [backup-simplify]: Simplify 1.0 into 1.0 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.060 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.062 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (* 1 1) into 1 0.062 * [backup-simplify]: Simplify (- 1) into -1 0.063 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.066 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.067 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify (- 0) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [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)) 0.080 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.084 * [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))))) 0.084 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.084 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.084 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [backup-simplify]: Simplify 1.0 into 1.0 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [backup-simplify]: Simplify (- 1) into -1 0.086 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.087 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 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 0.090 * [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) 0.101 * [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 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.105 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.107 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.107 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.108 * [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 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.116 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.118 * [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))))) 0.118 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.118 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.118 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.118 * [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 0.119 * [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) 0.120 * [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 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [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 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [backup-simplify]: Simplify (- 1) into -1 0.123 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.123 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.125 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.128 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.129 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [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)) 0.146 * [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 (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 0.146 * * * [progress]: simplifying candidates 0.147 * [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)))))) 0.148 * * [simplify]: Extracting # 0 : cost 22 inf + 0 0.148 * * [simplify]: Extracting # 1 : cost 38 inf + 0 0.148 * * [simplify]: Extracting # 2 : cost 49 inf + 44 0.148 * * [simplify]: Extracting # 3 : cost 55 inf + 88 0.149 * * [simplify]: Extracting # 4 : cost 36 inf + 2950 0.150 * * [simplify]: Extracting # 5 : cost 19 inf + 6747 0.151 * * [simplify]: Extracting # 6 : cost 14 inf + 7918 0.152 * * [simplify]: Extracting # 7 : cost 8 inf + 9967 0.154 * * [simplify]: Extracting # 8 : cost 4 inf + 12057 0.155 * * [simplify]: Extracting # 9 : cost 1 inf + 13964 0.157 * * [simplify]: Extracting # 10 : cost 0 inf + 14750 0.159 * * [simplify]: iteration 0 : 69 enodes (cost 6613 ) 0.185 * * [simplify]: Extracting # 0 : cost 0 inf + 14750 0.188 * * [simplify]: Extracting # 1 : cost 33 inf + 12633 0.191 * * [simplify]: Extracting # 2 : cost 7 inf + 16546 0.195 * * [simplify]: Extracting # 3 : cost 5 inf + 15242 0.200 * * [simplify]: Extracting # 4 : cost 0 inf + 15238 0.204 * * [simplify]: Extracting # 5 : cost 0 inf + 15082 0.208 * * [simplify]: iteration 1 : 172 enodes (cost 5106 ) 0.318 * * [simplify]: Extracting # 0 : cost 0 inf + 15082 0.321 * * [simplify]: Extracting # 1 : cost 217 inf + 13616 0.331 * * [simplify]: Extracting # 2 : cost 6 inf + 40713 0.337 * * [simplify]: Extracting # 3 : cost 3 inf + 40992 0.344 * * [simplify]: Extracting # 4 : cost 0 inf + 41628 0.350 * * [simplify]: iteration 2 : 745 enodes (cost 4799 ) 0.716 * * [simplify]: Extracting # 0 : cost 0 inf + 41628 0.736 * * [simplify]: Extracting # 1 : cost 2045 inf + 38697 0.800 * * [simplify]: Extracting # 2 : cost 122 inf + 319821 0.863 * * [simplify]: Extracting # 3 : cost 28 inf + 332912 0.935 * * [simplify]: Extracting # 4 : cost 0 inf + 340475 1.013 * * [simplify]: iteration done: 5000 enodes (cost 4799 ) 1.014 * [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 1.0 1.0 (* (* x x) (+ (* x x) 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)))) (- (sqrt 1.0) (fma (/ (* x x) (sqrt 1.0)) 1/2 (/ (* 1/8 (* (* x x) (* x x))) (* 1.0 (sqrt 1.0))))) (+ (* x (sqrt -1)) (- (/ 0.5 (* x (sqrt -1))) (/ 0.125 (* (* (sqrt -1) -1) (* x (* x x)))))) (- (/ 0.125 (* (* (sqrt -1) -1) (* x (* x x)))) (+ (/ 0.5 (* x (sqrt -1))) (* x (sqrt -1)))) 1.015 * * * [progress]: adding candidates to table 1.110 * * [progress]: iteration 2 / 4 1.110 * * * [progress]: picking best candidate 1.113 * * * * [pick]: Picked # 1.113 * * * [progress]: localizing error 1.129 * * * [progress]: generating rewritten candidates 1.129 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 1.133 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 1.140 * * * [progress]: generating series expansions 1.140 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.140 * [backup-simplify]: Simplify (log (sqrt (- 1.0 (* x x)))) into (log (sqrt (- 1.0 (pow x 2)))) 1.140 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (pow x 2)))) in (x) around 0 1.140 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (pow x 2)))) in x 1.140 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.140 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.140 * [taylor]: Taking taylor expansion of 1.0 in x 1.140 * [backup-simplify]: Simplify 1.0 into 1.0 1.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 1 into 1 1.141 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.141 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.141 * [backup-simplify]: Simplify (+ 0 0) into 0 1.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.142 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.142 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (pow x 2)))) in x 1.142 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.142 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.142 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [backup-simplify]: Simplify 1.0 into 1.0 1.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 1 into 1 1.143 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.143 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.143 * [backup-simplify]: Simplify (+ 0 0) into 0 1.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.144 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.145 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1.0) 1)))) 1) into 0 1.145 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify (* 1 1) into 1 1.146 * [backup-simplify]: Simplify (- 1) into -1 1.146 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.148 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.163 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/2 (pow (sqrt 1.0) 2)) 1.164 * [backup-simplify]: Simplify (/ -1/2 (pow (sqrt 1.0) 2)) into (/ -1/2 (pow (sqrt 1.0) 2)) 1.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.165 * [backup-simplify]: Simplify (- 0) into 0 1.166 * [backup-simplify]: Simplify (+ 0 0) into 0 1.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.171 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ -1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1.0) 1)))) 6) into 0 1.171 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.172 * [backup-simplify]: Simplify (- 0) into 0 1.173 * [backup-simplify]: Simplify (+ 0 0) into 0 1.178 * [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)) 1.218 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 1.0) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ -1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 3))) (* -3 (/ (* 1 (pow (* 2 (/ -1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 24) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.219 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.222 * [backup-simplify]: Simplify (+ (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow x 4)) (+ (* (/ -1/2 (pow (sqrt 1.0) 2)) (pow x 2)) (log (sqrt 1.0)))) into (- (log (sqrt 1.0)) (+ (* 1/4 (/ (pow x 4) (pow (sqrt 1.0) 4))) (* 1/2 (/ (pow x 2) (pow (sqrt 1.0) 2))))) 1.222 * [backup-simplify]: Simplify (log (sqrt (- 1.0 (* (/ 1 x) (/ 1 x))))) into (log (sqrt (- 1.0 (/ 1 (pow x 2))))) 1.222 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 1.222 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.222 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.222 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.222 * [taylor]: Taking taylor expansion of 1.0 in x 1.222 * [backup-simplify]: Simplify 1.0 into 1.0 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 1 into 1 1.223 * [backup-simplify]: Simplify (* 1 1) into 1 1.223 * [backup-simplify]: Simplify (/ 1 1) into 1 1.223 * [backup-simplify]: Simplify (- 1) into -1 1.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.224 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.225 * [backup-simplify]: Simplify (- 0) into 0 1.225 * [backup-simplify]: Simplify (+ 0 0) into 0 1.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.226 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 1.226 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.226 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.226 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.226 * [backup-simplify]: Simplify 1.0 into 1.0 1.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.226 * [backup-simplify]: Simplify (* 1 1) into 1 1.226 * [backup-simplify]: Simplify (/ 1 1) into 1 1.227 * [backup-simplify]: Simplify (- 1) into -1 1.227 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.227 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.228 * [backup-simplify]: Simplify (- 0) into 0 1.228 * [backup-simplify]: Simplify (+ 0 0) into 0 1.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.229 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 1.230 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) 1.231 * [backup-simplify]: Simplify (- (log (sqrt -1)) (log x)) into (- (log (sqrt -1)) (log x)) 1.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 1.231 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.233 * [backup-simplify]: Simplify (- 0) into 0 1.233 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.235 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 0.5 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 2) into (/ 0.5 (pow (sqrt -1) 2)) 1.245 * [backup-simplify]: Simplify (/ 0.5 (pow (sqrt -1) 2)) into -0.5 1.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.246 * [backup-simplify]: Simplify (- 0) into 0 1.246 * [backup-simplify]: Simplify (+ 0 0) into 0 1.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.251 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 0.5 (sqrt -1))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into 0 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.252 * [backup-simplify]: Simplify (- 0) into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.256 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.294 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ 0.5 (sqrt -1))) 1)) (pow (sqrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 (/ 0.5 (sqrt -1))) 2)) (pow (sqrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -0.125 (pow (sqrt -1) 3))) 1)) (pow (sqrt -1) 1)))) 24) into (* 1/24 (- (* 3.0 (/ 1 (pow (sqrt -1) 2))) (* 3.0 (/ 1 (pow (sqrt -1) 4))))) 1.300 * [backup-simplify]: Simplify (* 1/24 (- (* 3.0 (/ 1 (pow (sqrt -1) 2))) (* 3.0 (/ 1 (pow (sqrt -1) 4))))) into -0.25 1.302 * [backup-simplify]: Simplify (+ (* -0.25 (pow (/ 1 x) 4)) (+ (* -0.5 (pow (/ 1 x) 2)) (- (log (sqrt -1)) (log (/ 1 x))))) into (- (log (sqrt -1)) (+ (log (/ 1 x)) (+ (* 0.25 (/ 1 (pow x 4))) (* 0.5 (/ 1 (pow x 2)))))) 1.302 * [backup-simplify]: Simplify (log (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x)))))) into (log (sqrt (- 1.0 (/ 1 (pow x 2))))) 1.302 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 1.302 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.302 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.302 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.302 * [taylor]: Taking taylor expansion of 1.0 in x 1.302 * [backup-simplify]: Simplify 1.0 into 1.0 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.302 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 1 into 1 1.303 * [backup-simplify]: Simplify (* 1 1) into 1 1.303 * [backup-simplify]: Simplify (/ 1 1) into 1 1.303 * [backup-simplify]: Simplify (- 1) into -1 1.304 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.304 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.305 * [backup-simplify]: Simplify (- 0) into 0 1.305 * [backup-simplify]: Simplify (+ 0 0) into 0 1.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.306 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 1.306 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.306 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.306 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [backup-simplify]: Simplify 1.0 into 1.0 1.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 1 into 1 1.306 * [backup-simplify]: Simplify (* 1 1) into 1 1.307 * [backup-simplify]: Simplify (/ 1 1) into 1 1.307 * [backup-simplify]: Simplify (- 1) into -1 1.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.307 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.308 * [backup-simplify]: Simplify (- 0) into 0 1.309 * [backup-simplify]: Simplify (+ 0 0) into 0 1.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.310 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 1.310 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) 1.311 * [backup-simplify]: Simplify (- (log (sqrt -1)) (log x)) into (- (log (sqrt -1)) (log x)) 1.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.313 * [backup-simplify]: Simplify (- 0) into 0 1.313 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.315 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 0.5 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 2) into (/ 0.5 (pow (sqrt -1) 2)) 1.324 * [backup-simplify]: Simplify (/ 0.5 (pow (sqrt -1) 2)) into -0.5 1.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (- 0) into 0 1.326 * [backup-simplify]: Simplify (+ 0 0) into 0 1.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.330 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 0.5 (sqrt -1))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into 0 1.330 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.331 * [backup-simplify]: Simplify (- 0) into 0 1.332 * [backup-simplify]: Simplify (+ 0 0) into 0 1.335 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.370 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ 0.5 (sqrt -1))) 1)) (pow (sqrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 (/ 0.5 (sqrt -1))) 2)) (pow (sqrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -0.125 (pow (sqrt -1) 3))) 1)) (pow (sqrt -1) 1)))) 24) into (* 1/24 (- (* 3.0 (/ 1 (pow (sqrt -1) 2))) (* 3.0 (/ 1 (pow (sqrt -1) 4))))) 1.374 * [backup-simplify]: Simplify (* 1/24 (- (* 3.0 (/ 1 (pow (sqrt -1) 2))) (* 3.0 (/ 1 (pow (sqrt -1) 4))))) into -0.25 1.375 * [backup-simplify]: Simplify (+ (* -0.25 (pow (/ 1 (- x)) 4)) (+ (* -0.5 (pow (/ 1 (- x)) 2)) (- (log (sqrt -1)) (log (/ 1 (- x)))))) into (- (log (sqrt -1)) (+ (log (/ -1 x)) (+ (* 0.25 (/ 1 (pow x 4))) (* 0.5 (/ 1 (pow x 2)))))) 1.375 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 1.375 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 1.375 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 1.375 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.375 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.375 * [taylor]: Taking taylor expansion of 1.0 in x 1.375 * [backup-simplify]: Simplify 1.0 into 1.0 1.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.376 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.376 * [backup-simplify]: Simplify (+ 0 0) into 0 1.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.376 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.376 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.376 * [taylor]: Taking taylor expansion of 1.0 in x 1.376 * [backup-simplify]: Simplify 1.0 into 1.0 1.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.377 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.377 * [backup-simplify]: Simplify (+ 0 0) into 0 1.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.378 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify (* 1 1) into 1 1.378 * [backup-simplify]: Simplify (- 1) into -1 1.379 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.380 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.385 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 1.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.386 * [backup-simplify]: Simplify (- 0) into 0 1.386 * [backup-simplify]: Simplify (+ 0 0) into 0 1.387 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.388 * [backup-simplify]: Simplify (- 0) into 0 1.388 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [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)) 1.393 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.396 * [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))))) 1.397 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.397 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.397 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [backup-simplify]: Simplify 1.0 into 1.0 1.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (* 1 1) into 1 1.398 * [backup-simplify]: Simplify (/ 1 1) into 1 1.398 * [backup-simplify]: Simplify (- 1) into -1 1.398 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.399 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (- 0) into 0 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.401 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.401 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.401 * [taylor]: Taking taylor expansion of 1.0 in x 1.401 * [backup-simplify]: Simplify 1.0 into 1.0 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify (* 1 1) into 1 1.402 * [backup-simplify]: Simplify (/ 1 1) into 1 1.402 * [backup-simplify]: Simplify (- 1) into -1 1.403 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.403 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.405 * [backup-simplify]: Simplify (- 0) into 0 1.405 * [backup-simplify]: Simplify (+ 0 0) into 0 1.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.406 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.406 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.408 * [backup-simplify]: Simplify (- 0) into 0 1.409 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.412 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.413 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.415 * [backup-simplify]: Simplify (- 0) into 0 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.420 * [backup-simplify]: Simplify (- 0) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.427 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.428 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.432 * [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))))) 1.432 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.432 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.432 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.432 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.432 * [taylor]: Taking taylor expansion of 1.0 in x 1.432 * [backup-simplify]: Simplify 1.0 into 1.0 1.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.433 * [backup-simplify]: Simplify (* 1 1) into 1 1.433 * [backup-simplify]: Simplify (/ 1 1) into 1 1.433 * [backup-simplify]: Simplify (- 1) into -1 1.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.434 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (- 0) into 0 1.436 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.437 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * [backup-simplify]: Simplify 1.0 into 1.0 1.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (* 1 1) into 1 1.438 * [backup-simplify]: Simplify (/ 1 1) into 1 1.438 * [backup-simplify]: Simplify (- 1) into -1 1.439 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.439 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (- 0) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.442 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.443 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.445 * [backup-simplify]: Simplify (- 0) into 0 1.445 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.449 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.450 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.452 * [backup-simplify]: Simplify (- 0) into 0 1.452 * [backup-simplify]: Simplify (+ 0 0) into 0 1.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (- 0) into 0 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.463 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.464 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.467 * [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)))))) 1.467 * * * [progress]: simplifying candidates 1.469 * [simplify]: Simplifying: (expm1 (log (sqrt (- 1.0 (* x x))))) (log1p (log (sqrt (- 1.0 (* x x))))) (log (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))) (log (cbrt (sqrt (- 1.0 (* x x))))) (log (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (log (sqrt (cbrt (- 1.0 (* x x))))) (log (sqrt (sqrt (- 1.0 (* x x))))) (log (sqrt (sqrt (- 1.0 (* x x))))) (log (sqrt 1)) (log (sqrt (- 1.0 (* x x)))) (log (sqrt (+ (sqrt 1.0) x))) (log (sqrt (- (sqrt 1.0) x))) (log (sqrt (sqrt (- 1.0 (* x x))))) (log (sqrt (sqrt (- 1.0 (* x x))))) (log 1) (log (sqrt (- 1.0 (* x x)))) (log (sqrt (- (pow 1.0 3) (pow (* x x) 3)))) (log (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (log (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (log (sqrt (+ 1.0 (* x x)))) (log (- 1.0 (* x x))) (log (sqrt (- 1.0 (* x x)))) (log (- 1.0 (* x x))) (log (log (sqrt (- 1.0 (* x x))))) (exp (log (sqrt (- 1.0 (* x x))))) (* (cbrt (log (sqrt (- 1.0 (* x x))))) (cbrt (log (sqrt (- 1.0 (* x x)))))) (cbrt (log (sqrt (- 1.0 (* x x))))) (* (* (log (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x))))) (log (sqrt (- 1.0 (* x x))))) (sqrt (log (sqrt (- 1.0 (* x x))))) (sqrt (log (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)))) (- (log (sqrt 1.0)) (+ (* 1/4 (/ (pow x 4) (pow (sqrt 1.0) 4))) (* 1/2 (/ (pow x 2) (pow (sqrt 1.0) 2))))) (- (log (sqrt -1)) (+ (log (/ 1 x)) (+ (* 0.25 (/ 1 (pow x 4))) (* 0.5 (/ 1 (pow x 2)))))) (- (log (sqrt -1)) (+ (log (/ -1 x)) (+ (* 0.25 (/ 1 (pow x 4))) (* 0.5 (/ 1 (pow x 2)))))) (- (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)))))) 1.470 * * [simplify]: Extracting # 0 : cost 47 inf + 0 1.470 * * [simplify]: Extracting # 1 : cost 69 inf + 0 1.471 * * [simplify]: Extracting # 2 : cost 86 inf + 73 1.471 * * [simplify]: Extracting # 3 : cost 97 inf + 270 1.472 * * [simplify]: Extracting # 4 : cost 79 inf + 3555 1.474 * * [simplify]: Extracting # 5 : cost 36 inf + 13858 1.476 * * [simplify]: Extracting # 6 : cost 22 inf + 17103 1.479 * * [simplify]: Extracting # 7 : cost 14 inf + 20952 1.482 * * [simplify]: Extracting # 8 : cost 9 inf + 23825 1.485 * * [simplify]: Extracting # 9 : cost 5 inf + 26900 1.489 * * [simplify]: Extracting # 10 : cost 0 inf + 31224 1.493 * * [simplify]: iteration 0 : 117 enodes (cost 17022 ) 1.539 * * [simplify]: Extracting # 0 : cost 0 inf + 31224 1.542 * * [simplify]: Extracting # 1 : cost 45 inf + 26304 1.546 * * [simplify]: Extracting # 2 : cost 7 inf + 31245 1.549 * * [simplify]: Extracting # 3 : cost 6 inf + 28606 1.553 * * [simplify]: Extracting # 4 : cost 0 inf + 29254 1.557 * * [simplify]: Extracting # 5 : cost 0 inf + 28846 1.561 * * [simplify]: iteration 1 : 265 enodes (cost 13388 ) 1.741 * * [simplify]: Extracting # 0 : cost 0 inf + 28846 1.752 * * [simplify]: Extracting # 1 : cost 333 inf + 26169 1.772 * * [simplify]: Extracting # 2 : cost 6 inf + 69705 1.798 * * [simplify]: Extracting # 3 : cost 4 inf + 68813 1.821 * * [simplify]: Extracting # 4 : cost 0 inf + 69580 1.843 * * [simplify]: iteration 2 : 1138 enodes (cost 12784 ) 2.280 * * [simplify]: Extracting # 0 : cost 0 inf + 69580 2.302 * * [simplify]: Extracting # 1 : cost 2084 inf + 65964 2.374 * * [simplify]: Extracting # 2 : cost 0 inf + 332668 2.436 * * [simplify]: iteration done: 5001 enodes (cost 12784 ) 2.437 * [simplify]: Simplified to: (expm1 (log (sqrt (- 1.0 (* x x))))) (log1p (log (sqrt (- 1.0 (* x x))))) (log (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))) (log (cbrt (sqrt (- 1.0 (* x x))))) (log (fabs (cbrt (- 1.0 (* x x))))) (log (sqrt (cbrt (- 1.0 (* x x))))) (log (sqrt (sqrt (- 1.0 (* x x))))) (log (sqrt (sqrt (- 1.0 (* x x))))) 0 (log (sqrt (- 1.0 (* x x)))) (log (sqrt (+ (sqrt 1.0) x))) (log (sqrt (- (sqrt 1.0) x))) (log (sqrt (sqrt (- 1.0 (* x x))))) (log (sqrt (sqrt (- 1.0 (* x x))))) 0 (log (sqrt (- 1.0 (* x x)))) (log (sqrt (- (* (* 1.0 1.0) 1.0) (* (* x x) (* (* x x) (* x x)))))) (log (sqrt (fma 1.0 1.0 (* (* x x) (+ (* x x) 1.0))))) (log (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (log (sqrt (fma x x 1.0))) (log (- 1.0 (* x x))) (log (sqrt (- 1.0 (* x x)))) (log (- 1.0 (* x x))) (log (log (sqrt (- 1.0 (* x x))))) (sqrt (- 1.0 (* x x))) (* (cbrt (log (sqrt (- 1.0 (* x x))))) (cbrt (log (sqrt (- 1.0 (* x x)))))) (cbrt (log (sqrt (- 1.0 (* x x))))) (* (* (log (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x))))) (log (sqrt (- 1.0 (* x x))))) (sqrt (log (sqrt (- 1.0 (* x x))))) (sqrt (log (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)))) (* (- 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 1.0 1.0 (* (* x x) (+ (* x x) 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)))) (- (log (sqrt 1.0)) (fma 1/4 (* (/ (* x x) 1.0) (/ (* x x) 1.0)) (* 1/2 (/ (* x x) 1.0)))) (- (log (sqrt -1)) (- (+ (/ 0.5 (* x x)) (/ 0.25 (* (* x x) (* x x)))) (log x))) (- (- (- (log (sqrt -1)) (log (/ -1 x))) (/ 0.5 (* x x))) (/ 0.25 (* (* x x) (* x x)))) (- (sqrt 1.0) (fma 1/8 (/ (* (* x x) (* x x)) (* (sqrt 1.0) 1.0)) (* 1/2 (/ (* x x) (sqrt 1.0))))) (+ (- (/ 0.5 (* x (sqrt -1))) (/ 0.125 (* (sqrt -1) (* -1 (* (* x x) x))))) (* x (sqrt -1))) (- (/ 0.125 (* (sqrt -1) (* -1 (* (* x x) x)))) (+ (* x (sqrt -1)) (/ 0.5 (* x (sqrt -1))))) 2.439 * * * [progress]: adding candidates to table 2.652 * [progress]: [Phase 3 of 3] Extracting. 2.656 * [simplify]: Simplifying: (exp (log (sqrt (- 1.0 (* x x))))) 2.656 * * [simplify]: Extracting # 0 : cost 1 inf + 0 2.656 * * [simplify]: Extracting # 1 : cost 2 inf + 0 2.656 * * [simplify]: Extracting # 2 : cost 3 inf + 0 2.656 * * [simplify]: Extracting # 3 : cost 4 inf + 0 2.656 * * [simplify]: Extracting # 4 : cost 6 inf + 0 2.656 * * [simplify]: Extracting # 5 : cost 6 inf + 1 2.656 * * [simplify]: Extracting # 6 : cost 0 inf + 701 2.657 * * [simplify]: iteration 0 : 7 enodes (cost 262 ) 2.657 * * [simplify]: Extracting # 0 : cost 0 inf + 701 2.657 * * [simplify]: iteration done: 7 enodes (cost 262 ) 2.657 * [simplify]: Simplified to: (exp (log (sqrt (- 1.0 (* x x))))) 3.988 * [regime-testing]: Baseline error score: 0.007125890736342043 4.006 * [regime-testing]: Oracle error score: 0.007125890736342043 4.006 * [regime-testing]: End program error score: 0.007125890736342043