32.453 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying: (sqrt (- 1.0 (* x x))) 0.033 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.034 * * [simplify]: Extracting # 1 : cost 2 inf + 0 0.034 * * [simplify]: Extracting # 2 : cost 4 inf + 0 0.034 * * [simplify]: Extracting # 3 : cost 4 inf + 1 0.034 * * [simplify]: Extracting # 4 : cost 0 inf + 247 0.034 * * [simplify]: iteration 0 : 5 enodes (cost 122 ) 0.035 * * [simplify]: Extracting # 0 : cost 0 inf + 247 0.035 * * [simplify]: Extracting # 1 : cost 1 inf + 247 0.035 * * [simplify]: Extracting # 2 : cost 0 inf + 328 0.035 * * [simplify]: iteration 1 : 7 enodes (cost 122 ) 0.037 * * [simplify]: Extracting # 0 : cost 0 inf + 328 0.037 * * [simplify]: Extracting # 1 : cost 1 inf + 328 0.037 * * [simplify]: Extracting # 2 : cost 0 inf + 369 0.037 * * [simplify]: iteration 2 : 11 enodes (cost 122 ) 0.039 * * [simplify]: Extracting # 0 : cost 0 inf + 369 0.039 * * [simplify]: iteration done: 11 enodes (cost 122 ) 0.039 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [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 0.066 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.066 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.068 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (* 1 1) into 1 0.069 * [backup-simplify]: Simplify (- 1) into -1 0.069 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.072 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.072 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [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)) 0.081 * [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 0.085 * [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 0.086 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.089 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.089 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [backup-simplify]: Simplify 1.0 into 1.0 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (* 1 1) into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [backup-simplify]: Simplify (- 1) into -1 0.090 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.091 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.102 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [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 0.109 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.109 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.123 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.126 * [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))))) 0.126 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.126 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 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 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [backup-simplify]: Simplify 1.0 into 1.0 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [backup-simplify]: Simplify (- 1) into -1 0.128 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.128 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (sqrt -1))) into 0 0.131 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [backup-simplify]: Simplify 1.0 into 1.0 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify (- 1) into -1 0.133 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.133 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.136 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.142 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.142 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.156 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.159 * [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)))))) 0.159 * * * [progress]: simplifying candidates 0.159 * [simplify]: Simplifying: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 0.159 * * [simplify]: Extracting # 0 : cost 20 inf + 0 0.160 * * [simplify]: Extracting # 1 : cost 36 inf + 0 0.160 * * [simplify]: Extracting # 2 : cost 46 inf + 85 0.160 * * [simplify]: Extracting # 3 : cost 53 inf + 88 0.160 * * [simplify]: Extracting # 4 : cost 30 inf + 3778 0.161 * * [simplify]: Extracting # 5 : cost 21 inf + 5768 0.161 * * [simplify]: Extracting # 6 : cost 14 inf + 7392 0.162 * * [simplify]: Extracting # 7 : cost 8 inf + 10237 0.162 * * [simplify]: Extracting # 8 : cost 5 inf + 11821 0.163 * * [simplify]: Extracting # 9 : cost 2 inf + 12774 0.164 * * [simplify]: Extracting # 10 : cost 0 inf + 14346 0.165 * * [simplify]: iteration 0 : 67 enodes (cost 6209 ) 0.178 * * [simplify]: Extracting # 0 : cost 0 inf + 14346 0.179 * * [simplify]: Extracting # 1 : cost 33 inf + 12680 0.180 * * [simplify]: Extracting # 2 : cost 7 inf + 17139 0.183 * * [simplify]: Extracting # 3 : cost 5 inf + 15144 0.186 * * [simplify]: Extracting # 4 : cost 0 inf + 14803 0.189 * * [simplify]: iteration 1 : 164 enodes (cost 4752 ) 0.249 * * [simplify]: Extracting # 0 : cost 0 inf + 14803 0.252 * * [simplify]: Extracting # 1 : cost 216 inf + 13485 0.257 * * [simplify]: Extracting # 2 : cost 6 inf + 40626 0.263 * * [simplify]: Extracting # 3 : cost 1 inf + 41475 0.270 * * [simplify]: Extracting # 4 : cost 0 inf + 41727 0.276 * * [simplify]: iteration 2 : 708 enodes (cost 4470 ) 0.467 * * [simplify]: Extracting # 0 : cost 0 inf + 41727 0.492 * * [simplify]: Extracting # 1 : cost 2182 inf + 39699 0.556 * * [simplify]: Extracting # 2 : cost 118 inf + 345109 0.617 * * [simplify]: Extracting # 3 : cost 34 inf + 352120 0.667 * * [simplify]: Extracting # 4 : cost 0 inf + 361482 0.713 * * [simplify]: iteration done: 5001 enodes (cost 4470 ) 0.713 * [simplify]: Simplified to: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (* 1.0 (* 1.0 1.0)) (* (* x x) (* (* x x) (* x x))))) (sqrt (+ (* 1.0 1.0) (* (* x x) (+ (* x x) 1.0)))) (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) (/ (* 1/2 (* x x)) (sqrt 1.0))) (* 1/8 (/ (/ (* (* x x) (* x x)) 1.0) (sqrt 1.0)))) (- (+ (/ 0.5 (* x (sqrt -1))) (* 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)))) 0.714 * * * [progress]: adding candidates to table 0.781 * * [progress]: iteration 2 / 4 0.781 * * * [progress]: picking best candidate 0.784 * * * * [pick]: Picked # 0.784 * * * [progress]: localizing error 0.794 * * * [progress]: generating rewritten candidates 0.794 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.798 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.805 * * * [progress]: generating series expansions 0.805 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.806 * [backup-simplify]: Simplify (log (sqrt (- 1.0 (* x x)))) into (log (sqrt (- 1.0 (pow x 2)))) 0.806 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (pow x 2)))) in (x) around 0 0.806 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (pow x 2)))) in x 0.806 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.806 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [backup-simplify]: Simplify 1.0 into 1.0 0.806 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 1 into 1 0.807 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.807 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.808 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.808 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (pow x 2)))) in x 0.808 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.808 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.808 * [taylor]: Taking taylor expansion of 1.0 in x 0.808 * [backup-simplify]: Simplify 1.0 into 1.0 0.808 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.809 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.809 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.809 * [backup-simplify]: Simplify (+ 0 0) into 0 0.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.810 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.811 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.812 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1.0) 1)))) 1) into 0 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify (* 1 1) into 1 0.812 * [backup-simplify]: Simplify (- 1) into -1 0.812 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.814 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.827 * [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)) 0.829 * [backup-simplify]: Simplify (/ -1/2 (pow (sqrt 1.0) 2)) into (/ -1/2 (pow (sqrt 1.0) 2)) 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.830 * [backup-simplify]: Simplify (- 0) into 0 0.830 * [backup-simplify]: Simplify (+ 0 0) into 0 0.832 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.838 * [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 0.838 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.840 * [backup-simplify]: Simplify (- 0) into 0 0.840 * [backup-simplify]: Simplify (+ 0 0) into 0 0.847 * [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)) 0.897 * [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)) 0.898 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 0.903 * [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))))) 0.903 * [backup-simplify]: Simplify (log (sqrt (- 1.0 (* (/ 1 x) (/ 1 x))))) into (log (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.903 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.903 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.903 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.903 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [backup-simplify]: Simplify 1.0 into 1.0 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (* 1 1) into 1 0.904 * [backup-simplify]: Simplify (/ 1 1) into 1 0.904 * [backup-simplify]: Simplify (- 1) into -1 0.905 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.905 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (- 0) into 0 0.907 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.909 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 0.909 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.909 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.909 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [backup-simplify]: Simplify 1.0 into 1.0 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (* 1 1) into 1 0.910 * [backup-simplify]: Simplify (/ 1 1) into 1 0.910 * [backup-simplify]: Simplify (- 1) into -1 0.910 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.911 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (- 0) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.914 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 0.916 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) 0.916 * [backup-simplify]: Simplify (- (log (sqrt -1)) (log x)) into (- (log (sqrt -1)) (log x)) 0.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (- 0) into 0 0.920 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.924 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.932 * [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)) 0.933 * [backup-simplify]: Simplify (/ 0.5 (pow (sqrt -1) 2)) into -0.5 0.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (- 0) into 0 0.935 * [backup-simplify]: Simplify (+ 0 0) into 0 0.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.939 * [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 0.939 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (- 0) into 0 0.941 * [backup-simplify]: Simplify (+ 0 0) into 0 0.945 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.980 * [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))))) 0.984 * [backup-simplify]: Simplify (* 1/24 (- (* 3.0 (/ 1 (pow (sqrt -1) 2))) (* 3.0 (/ 1 (pow (sqrt -1) 4))))) into -0.25 0.985 * [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)))))) 0.985 * [backup-simplify]: Simplify (log (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x)))))) into (log (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.985 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.985 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.985 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.985 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [backup-simplify]: Simplify 1.0 into 1.0 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify 1 into 1 0.985 * [backup-simplify]: Simplify (* 1 1) into 1 0.985 * [backup-simplify]: Simplify (/ 1 1) into 1 0.986 * [backup-simplify]: Simplify (- 1) into -1 0.986 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.988 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.990 * [backup-simplify]: Simplify (- 0) into 0 0.990 * [backup-simplify]: Simplify (+ 0 0) into 0 0.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.992 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 0.992 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.992 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.992 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.992 * [taylor]: Taking taylor expansion of 1.0 in x 0.992 * [backup-simplify]: Simplify 1.0 into 1.0 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 1 into 1 0.993 * [backup-simplify]: Simplify (* 1 1) into 1 0.993 * [backup-simplify]: Simplify (/ 1 1) into 1 0.994 * [backup-simplify]: Simplify (- 1) into -1 0.994 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.995 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.997 * [backup-simplify]: Simplify (- 0) into 0 0.997 * [backup-simplify]: Simplify (+ 0 0) into 0 0.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.998 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 1.000 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) 1.001 * [backup-simplify]: Simplify (- (log (sqrt -1)) (log x)) into (- (log (sqrt -1)) (log x)) 1.002 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.005 * [backup-simplify]: Simplify (- 0) into 0 1.005 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.009 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.017 * [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)) 1.018 * [backup-simplify]: Simplify (/ 0.5 (pow (sqrt -1) 2)) into -0.5 1.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.019 * [backup-simplify]: Simplify (- 0) into 0 1.019 * [backup-simplify]: Simplify (+ 0 0) into 0 1.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.024 * [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 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.025 * [backup-simplify]: Simplify (- 0) into 0 1.025 * [backup-simplify]: Simplify (+ 0 0) into 0 1.029 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.066 * [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))))) 1.070 * [backup-simplify]: Simplify (* 1/24 (- (* 3.0 (/ 1 (pow (sqrt -1) 2))) (* 3.0 (/ 1 (pow (sqrt -1) 4))))) into -0.25 1.071 * [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)))))) 1.071 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 1.071 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 1.071 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 1.071 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.071 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [backup-simplify]: Simplify 1.0 into 1.0 1.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 1 into 1 1.071 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.072 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.072 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.072 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.072 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [backup-simplify]: Simplify 1.0 into 1.0 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 1 into 1 1.073 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.073 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.074 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify (* 1 1) into 1 1.074 * [backup-simplify]: Simplify (- 1) into -1 1.075 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.076 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.077 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 1.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.078 * [backup-simplify]: Simplify (- 0) into 0 1.078 * [backup-simplify]: Simplify (+ 0 0) into 0 1.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.080 * [backup-simplify]: Simplify (- 0) into 0 1.080 * [backup-simplify]: Simplify (+ 0 0) into 0 1.083 * [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)) 1.084 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.088 * [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))))) 1.088 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.088 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.088 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.088 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.088 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [backup-simplify]: Simplify 1.0 into 1.0 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify (* 1 1) into 1 1.089 * [backup-simplify]: Simplify (/ 1 1) into 1 1.090 * [backup-simplify]: Simplify (- 1) into -1 1.090 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.091 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.092 * [backup-simplify]: Simplify (- 0) into 0 1.093 * [backup-simplify]: Simplify (+ 0 0) into 0 1.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.094 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.094 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [backup-simplify]: Simplify 1.0 into 1.0 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (* 1 1) into 1 1.095 * [backup-simplify]: Simplify (/ 1 1) into 1 1.095 * [backup-simplify]: Simplify (- 1) into -1 1.095 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.096 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.098 * [backup-simplify]: Simplify (- 0) into 0 1.098 * [backup-simplify]: Simplify (+ 0 0) into 0 1.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.099 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.099 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.102 * [backup-simplify]: Simplify (- 0) into 0 1.102 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.107 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.108 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.110 * [backup-simplify]: Simplify (- 0) into 0 1.111 * [backup-simplify]: Simplify (+ 0 0) into 0 1.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.112 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.115 * [backup-simplify]: Simplify (- 0) into 0 1.115 * [backup-simplify]: Simplify (+ 0 0) into 0 1.121 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.122 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.125 * [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))))) 1.125 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.125 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.125 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.125 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.125 * [taylor]: Taking taylor expansion of 1.0 in x 1.125 * [backup-simplify]: Simplify 1.0 into 1.0 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 1 into 1 1.126 * [backup-simplify]: Simplify (* 1 1) into 1 1.126 * [backup-simplify]: Simplify (/ 1 1) into 1 1.126 * [backup-simplify]: Simplify (- 1) into -1 1.126 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.127 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.128 * [backup-simplify]: Simplify (- 0) into 0 1.128 * [backup-simplify]: Simplify (+ 0 0) into 0 1.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.128 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.128 * [taylor]: Taking taylor expansion of 1.0 in x 1.128 * [backup-simplify]: Simplify 1.0 into 1.0 1.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 1 into 1 1.129 * [backup-simplify]: Simplify (* 1 1) into 1 1.129 * [backup-simplify]: Simplify (/ 1 1) into 1 1.129 * [backup-simplify]: Simplify (- 1) into -1 1.129 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.130 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.131 * [backup-simplify]: Simplify (- 0) into 0 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.132 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.133 * [backup-simplify]: Simplify (- 0) into 0 1.133 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.135 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.136 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.137 * [backup-simplify]: Simplify (- 0) into 0 1.137 * [backup-simplify]: Simplify (+ 0 0) into 0 1.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.138 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.140 * [backup-simplify]: Simplify (- 0) into 0 1.140 * [backup-simplify]: Simplify (+ 0 0) into 0 1.143 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.144 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.146 * [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)))))) 1.146 * * * [progress]: simplifying candidates 1.147 * [simplify]: Simplifying: (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))))) (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)))))) 1.148 * * [simplify]: Extracting # 0 : cost 43 inf + 0 1.148 * * [simplify]: Extracting # 1 : cost 65 inf + 0 1.148 * * [simplify]: Extracting # 2 : cost 83 inf + 2 1.148 * * [simplify]: Extracting # 3 : cost 93 inf + 200 1.148 * * [simplify]: Extracting # 4 : cost 74 inf + 3426 1.149 * * [simplify]: Extracting # 5 : cost 35 inf + 12439 1.151 * * [simplify]: Extracting # 6 : cost 16 inf + 18795 1.152 * * [simplify]: Extracting # 7 : cost 7 inf + 24449 1.155 * * [simplify]: Extracting # 8 : cost 5 inf + 25952 1.159 * * [simplify]: Extracting # 9 : cost 1 inf + 29349 1.162 * * [simplify]: Extracting # 10 : cost 0 inf + 30276 1.166 * * [simplify]: iteration 0 : 113 enodes (cost 16074 ) 1.191 * * [simplify]: Extracting # 0 : cost 0 inf + 30276 1.194 * * [simplify]: Extracting # 1 : cost 45 inf + 26622 1.198 * * [simplify]: Extracting # 2 : cost 7 inf + 32084 1.207 * * [simplify]: Extracting # 3 : cost 3 inf + 29965 1.215 * * [simplify]: Extracting # 4 : cost 0 inf + 29084 1.223 * * [simplify]: Extracting # 5 : cost 0 inf + 28298 1.227 * * [simplify]: iteration 1 : 253 enodes (cost 12590 ) 1.357 * * [simplify]: Extracting # 0 : cost 0 inf + 28298 1.363 * * [simplify]: Extracting # 1 : cost 332 inf + 26125 1.374 * * [simplify]: Extracting # 2 : cost 6 inf + 69234 1.397 * * [simplify]: Extracting # 3 : cost 1 inf + 68997 1.422 * * [simplify]: Extracting # 4 : cost 0 inf + 69209 1.443 * * [simplify]: iteration 2 : 1098 enodes (cost 12026 ) 1.763 * * [simplify]: Extracting # 0 : cost 0 inf + 69209 1.794 * * [simplify]: Extracting # 1 : cost 2401 inf + 65409 1.849 * * [simplify]: Extracting # 2 : cost 0 inf + 364000 1.937 * * [simplify]: iteration done: 5000 enodes (cost 12026 ) 1.938 * [simplify]: Simplified to: (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 (+ (* (* x x) (+ (* x x) 1.0)) (* 1.0 1.0)))) (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))))) (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))))) (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 (+ (* (* x x) (+ (* x x) 1.0)) (* 1.0 1.0))) (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)) (+ (* (* (/ (* x x) 1.0) (/ (* x x) 1.0)) 1/4) (/ (* 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) (* 1/2 (/ (* x x) (sqrt 1.0)))) (/ (* 1/8 (* (* x x) (* x x))) (* (sqrt 1.0) 1.0))) (+ (/ 0.5 (* x (sqrt -1))) (- (* x (sqrt -1)) (/ (/ 0.125 (* (* x x) x)) (* -1 (sqrt -1))))) (- (/ (/ 0.125 (* (* x x) x)) (* -1 (sqrt -1))) (+ (* x (sqrt -1)) (/ 0.5 (* x (sqrt -1))))) 1.940 * * * [progress]: adding candidates to table 2.199 * [progress]: [Phase 3 of 3] Extracting. 2.203 * [simplify]: Simplifying: (exp (log (sqrt (- 1.0 (* x x))))) 2.203 * * [simplify]: Extracting # 0 : cost 1 inf + 0 2.203 * * [simplify]: Extracting # 1 : cost 2 inf + 0 2.203 * * [simplify]: Extracting # 2 : cost 3 inf + 0 2.203 * * [simplify]: Extracting # 3 : cost 4 inf + 0 2.203 * * [simplify]: Extracting # 4 : cost 6 inf + 0 2.204 * * [simplify]: Extracting # 5 : cost 6 inf + 1 2.204 * * [simplify]: Extracting # 6 : cost 0 inf + 701 2.204 * * [simplify]: iteration 0 : 7 enodes (cost 262 ) 2.204 * * [simplify]: Extracting # 0 : cost 0 inf + 701 2.204 * * [simplify]: iteration done: 7 enodes (cost 262 ) 2.204 * [simplify]: Simplified to: (exp (log (sqrt (- 1.0 (* x x))))) 3.332 * [regime-testing]: Baseline error score: 0.007125890736342043 3.342 * [regime-testing]: Oracle error score: 0.007125890736342043 3.342 * [regime-testing]: End program error score: 0.007125890736342043