6.185 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.052 * * * [progress]: [2/2] Setting up program. 0.054 * [progress]: [Phase 2 of 3] Improving. 0.054 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.054 * [simplify]: Sending expressions to egg_math: (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) 0.057 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.058 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.059 * * [simplify]: iteration 2 : 18 enodes (cost 7 ) 0.060 * * [simplify]: iteration 3 : 18 enodes (cost 7 ) 0.061 * * [progress]: iteration 1 / 4 0.061 * * * [progress]: picking best candidate 0.063 * * * * [pick]: Picked # 0.063 * * * [progress]: localizing error 0.072 * * * [progress]: generating rewritten candidates 0.072 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.085 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2 1) 0.094 * * * [progress]: generating series expansions 0.094 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.094 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* x x))) x) into (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) 0.094 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.094 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.094 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.094 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [backup-simplify]: Simplify 1.0 into 1.0 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.095 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.096 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [backup-simplify]: Simplify 1.0 into 1.0 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.097 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.098 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (- 1) into -1 0.100 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.102 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.105 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.106 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.109 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [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)) 0.120 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (+ (* 0 0) (* (/ -1/8 (pow (sqrt 1.0) 3)) 1))))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.122 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.130 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0)))) x) (* (sqrt 1.0) (/ 1 x)))) into (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) 0.130 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) into (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.130 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.130 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [backup-simplify]: Simplify 1.0 into 1.0 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [backup-simplify]: Simplify (- 1) into -1 0.131 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.131 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.133 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.133 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [backup-simplify]: Simplify 1.0 into 1.0 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (* 1 1) into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [backup-simplify]: Simplify (- 1) into -1 0.134 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.135 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.136 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.138 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.141 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.142 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.147 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.148 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (- 0) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.154 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 0 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 0.164 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 0.167 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 4)) (+ (* (/ 0.5 (sqrt -1)) (pow (/ 1 x) 2)) (sqrt -1))) into (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) 0.167 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.167 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.167 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.167 * [taylor]: Taking taylor expansion of -1 in x 0.167 * [backup-simplify]: Simplify -1 into -1 0.167 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.167 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.167 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [backup-simplify]: Simplify 1.0 into 1.0 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [backup-simplify]: Simplify (- 1) into -1 0.168 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.169 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (- 0) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.170 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.170 * [taylor]: Taking taylor expansion of -1 in x 0.170 * [backup-simplify]: Simplify -1 into -1 0.170 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.170 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [backup-simplify]: Simplify 1.0 into 1.0 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [backup-simplify]: Simplify (- 1) into -1 0.171 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.172 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (- 0) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.173 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.174 * [backup-simplify]: Simplify (* -1 0) into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.176 * [backup-simplify]: Simplify (+ (* -1 (sqrt -1)) (* 0 0)) into (- (sqrt -1)) 0.176 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.180 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.180 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.181 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt -1)) (* 0 0))) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.186 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.189 * [backup-simplify]: Simplify (+ (* -1 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.190 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (- 0) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.197 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.198 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0))))) into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 0 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 0.214 * [backup-simplify]: Simplify (+ (* -1 (- (* 0.125 (/ 1 (pow (sqrt -1) 3))))) (+ (* 0 0) (+ (* 0 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))))) into (* 0.125 (/ 1 (pow (sqrt -1) 3))) 0.216 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow (sqrt -1) 3))) into (/ 0.125 (pow (sqrt -1) 3)) 0.219 * [backup-simplify]: Simplify (+ (* (/ 0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 4)) (+ (* (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (- (sqrt -1)))) into (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 0.219 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2 1) 0.219 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.219 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.219 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.219 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.219 * [backup-simplify]: Simplify 1.0 into 1.0 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.220 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.221 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.221 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.221 * [taylor]: Taking taylor expansion of 1.0 in x 0.221 * [backup-simplify]: Simplify 1.0 into 1.0 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.221 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.222 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (* 1 1) into 1 0.223 * [backup-simplify]: Simplify (- 1) into -1 0.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.224 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.225 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [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)) 0.232 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.234 * [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))))) 0.234 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.234 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.234 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.234 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.234 * [taylor]: Taking taylor expansion of 1.0 in x 0.234 * [backup-simplify]: Simplify 1.0 into 1.0 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (* 1 1) into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [backup-simplify]: Simplify (- 1) into -1 0.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.235 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.237 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [backup-simplify]: Simplify 1.0 into 1.0 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify (- 1) into -1 0.238 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.238 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.240 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.243 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.244 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.252 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.254 * [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 (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 0.254 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.254 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.254 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.254 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.254 * [taylor]: Taking taylor expansion of 1.0 in x 0.254 * [backup-simplify]: Simplify 1.0 into 1.0 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (* 1 1) into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [backup-simplify]: Simplify (- 1) into -1 0.255 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.255 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.257 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [backup-simplify]: Simplify 1.0 into 1.0 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (* 1 1) into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify (- 1) into -1 0.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.258 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.260 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.263 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.264 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.272 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.274 * [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)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.274 * * * [progress]: simplifying candidates 0.275 * [simplify]: Simplifying: (expm1 (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (- (log (sqrt (- 1.0 (* x x)))) (log x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (/ (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (* (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (- (sqrt (- 1.0 (* x x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 1) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 1) (/ (sqrt (cbrt (- 1.0 (* x x)))) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) x)) 1) (/ (sqrt (- (sqrt 1.0) x)) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) 1) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.275 * [simplify]: Sending expressions to egg_math: (expm1 (/ (sqrt (- h0 (* h1 h1))) h1)) (log1p (/ (sqrt (- h0 (* h1 h1))) h1)) (- (log (sqrt (- h0 (* h1 h1)))) (log h1)) (log (/ (sqrt (- h0 (* h1 h1))) h1)) (exp (/ (sqrt (- h0 (* h1 h1))) h1)) (/ (* (* (sqrt (- h0 (* h1 h1))) (sqrt (- h0 (* h1 h1)))) (sqrt (- h0 (* h1 h1)))) (* (* h1 h1) h1)) (* (cbrt (/ (sqrt (- h0 (* h1 h1))) h1)) (cbrt (/ (sqrt (- h0 (* h1 h1))) h1))) (cbrt (/ (sqrt (- h0 (* h1 h1))) h1)) (* (* (/ (sqrt (- h0 (* h1 h1))) h1) (/ (sqrt (- h0 (* h1 h1))) h1)) (/ (sqrt (- h0 (* h1 h1))) h1)) (sqrt (/ (sqrt (- h0 (* h1 h1))) h1)) (sqrt (/ (sqrt (- h0 (* h1 h1))) h1)) (- (sqrt (- h0 (* h1 h1)))) (- h1) (/ (* (cbrt (sqrt (- h0 (* h1 h1)))) (cbrt (sqrt (- h0 (* h1 h1))))) (* (cbrt h1) (cbrt h1))) (/ (cbrt (sqrt (- h0 (* h1 h1)))) (cbrt h1)) (/ (* (cbrt (sqrt (- h0 (* h1 h1)))) (cbrt (sqrt (- h0 (* h1 h1))))) (sqrt h1)) (/ (cbrt (sqrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (* (cbrt (sqrt (- h0 (* h1 h1)))) (cbrt (sqrt (- h0 (* h1 h1))))) 1) (/ (cbrt (sqrt (- h0 (* h1 h1)))) h1) (/ (sqrt (* (cbrt (- h0 (* h1 h1))) (cbrt (- h0 (* h1 h1))))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (cbrt (- h0 (* h1 h1)))) (cbrt h1)) (/ (sqrt (* (cbrt (- h0 (* h1 h1))) (cbrt (- h0 (* h1 h1))))) (sqrt h1)) (/ (sqrt (cbrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (sqrt (* (cbrt (- h0 (* h1 h1))) (cbrt (- h0 (* h1 h1))))) 1) (/ (sqrt (cbrt (- h0 (* h1 h1)))) h1) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (cbrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) 1) (/ (sqrt (sqrt (- h0 (* h1 h1)))) h1) (/ (sqrt 1) (* (cbrt h1) (cbrt h1))) (/ (sqrt (- h0 (* h1 h1))) (cbrt h1)) (/ (sqrt 1) (sqrt h1)) (/ (sqrt (- h0 (* h1 h1))) (sqrt h1)) (/ (sqrt 1) 1) (/ (sqrt (- h0 (* h1 h1))) h1) (/ (sqrt (+ (sqrt h0) h1)) (* (cbrt h1) (cbrt h1))) (/ (sqrt (- (sqrt h0) h1)) (cbrt h1)) (/ (sqrt (+ (sqrt h0) h1)) (sqrt h1)) (/ (sqrt (- (sqrt h0) h1)) (sqrt h1)) (/ (sqrt (+ (sqrt h0) h1)) 1) (/ (sqrt (- (sqrt h0) h1)) h1) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (cbrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) 1) (/ (sqrt (sqrt (- h0 (* h1 h1)))) h1) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (sqrt (- h0 (* h1 h1))) (cbrt h1)) (/ 1 (sqrt h1)) (/ (sqrt (- h0 (* h1 h1))) (sqrt h1)) (/ 1 1) (/ (sqrt (- h0 (* h1 h1))) h1) (/ 1 h1) (/ h1 (sqrt (- h0 (* h1 h1)))) (/ (sqrt (- h0 (* h1 h1))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (- h0 (* h1 h1))) (sqrt h1)) (/ (sqrt (- h0 (* h1 h1))) 1) (/ h1 (cbrt (sqrt (- h0 (* h1 h1))))) (/ h1 (sqrt (cbrt (- h0 (* h1 h1))))) (/ h1 (sqrt (sqrt (- h0 (* h1 h1))))) (/ h1 (sqrt (- h0 (* h1 h1)))) (/ h1 (sqrt (- (sqrt h0) h1))) (/ h1 (sqrt (sqrt (- h0 (* h1 h1))))) (/ h1 (sqrt (- h0 (* h1 h1)))) (* h1 (sqrt (+ (* h0 h0) (+ (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (* h1 (sqrt (+ h0 (* h1 h1)))) (expm1 (sqrt (- h0 (* h1 h1)))) (log1p (sqrt (- h0 (* h1 h1)))) (log (sqrt (- h0 (* h1 h1)))) (exp (sqrt (- h0 (* h1 h1)))) (* (cbrt (sqrt (- h0 (* h1 h1)))) (cbrt (sqrt (- h0 (* h1 h1))))) (cbrt (sqrt (- h0 (* h1 h1)))) (* (* (sqrt (- h0 (* h1 h1))) (sqrt (- h0 (* h1 h1)))) (sqrt (- h0 (* h1 h1)))) (sqrt (* (cbrt (- h0 (* h1 h1))) (cbrt (- h0 (* h1 h1))))) (sqrt (cbrt (- h0 (* h1 h1)))) (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt 1) (sqrt (- h0 (* h1 h1))) (sqrt (+ (sqrt h0) h1)) (sqrt (- (sqrt h0) h1)) (sqrt (- (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (+ (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (+ h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt (sqrt (- h0 (* h1 h1)))) (- (/ (sqrt h0) h1) (+ (* 1/2 (/ h1 (sqrt h0))) (* 1/8 (/ (pow h1 3) (pow (sqrt h0) 3))))) (- (+ (* h2 (/ 1 (* (pow h1 2) (sqrt -1)))) (sqrt -1)) (* h3 (/ 1 (* (pow h1 4) (pow (sqrt -1) 3))))) (- (* h3 (/ 1 (* (pow h1 4) (pow (sqrt -1) 3)))) (+ (* h2 (/ 1 (* (pow h1 2) (sqrt -1)))) (sqrt -1))) (- (sqrt h0) (+ (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3))) (* 1/2 (/ (pow h1 2) (sqrt h0))))) (- (+ (* h2 (/ 1 (* h1 (sqrt -1)))) (* h1 (sqrt -1))) (* h3 (/ 1 (* (pow h1 3) (pow (sqrt -1) 3))))) (- (* h3 (/ 1 (* (pow h1 3) (pow (sqrt -1) 3)))) (+ (* h2 (/ 1 (* h1 (sqrt -1)))) (* h1 (sqrt -1)))) 0.280 * * [simplify]: iteration 0 : 307 enodes (cost 545 ) 0.285 * * [simplify]: iteration 1 : 1099 enodes (cost 526 ) 0.307 * * [simplify]: iteration 2 : 5002 enodes (cost 519 ) 0.309 * * * [progress]: adding candidates to table 0.492 * [progress]: [Phase 3 of 3] Extracting. 0.494 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.494 * [simplify]: Sending expressions to egg_math: (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) 0.495 * * [simplify]: iteration 0 : 10 enodes (cost 7 ) 0.495 * * [simplify]: iteration 1 : 10 enodes (cost 7 ) 2.120 * [regime-testing]: End program error score: 0.03512939117389674