13.942 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 0.023 * [simplify]: Sending expressions to egg_math: (/ (/ (* (* h0 h0) (* h0 h0)) (* (* h1 h0) (* h1 h0))) (- (* (* h1 h0) (* h1 h0)) h2)) 0.025 * * [simplify]: iteration 0 : 31 enodes (cost 12 ) 0.026 * * [simplify]: iteration 1 : 168 enodes (cost 11 ) 0.030 * * [simplify]: iteration 2 : 965 enodes (cost 9 ) 0.053 * * [simplify]: iteration 3 : 5001 enodes (cost 8 ) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.057 * * * * [pick]: Picked # 0.057 * * * [progress]: localizing error 0.066 * * * [progress]: generating rewritten candidates 0.066 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.130 * * * [progress]: generating series expansions 0.130 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.131 * [backup-simplify]: Simplify (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) into (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) 0.131 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.131 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.131 * [taylor]: Taking taylor expansion of 0.25 in i 0.131 * [backup-simplify]: Simplify 0.25 into 0.25 0.131 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.131 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.131 * [taylor]: Taking taylor expansion of i in i 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.131 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.131 * [taylor]: Taking taylor expansion of 4.0 in i 0.131 * [backup-simplify]: Simplify 4.0 into 4.0 0.131 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.131 * [taylor]: Taking taylor expansion of i in i 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of 1.0 in i 0.131 * [backup-simplify]: Simplify 1.0 into 1.0 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.132 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.132 * [backup-simplify]: Simplify (/ 1 (- 1.0)) into -1.0 0.132 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.132 * [taylor]: Taking taylor expansion of 0.25 in i 0.133 * [backup-simplify]: Simplify 0.25 into 0.25 0.133 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.133 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.133 * [taylor]: Taking taylor expansion of i in i 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.133 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.133 * [taylor]: Taking taylor expansion of 4.0 in i 0.133 * [backup-simplify]: Simplify 4.0 into 4.0 0.133 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.133 * [taylor]: Taking taylor expansion of i in i 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of 1.0 in i 0.133 * [backup-simplify]: Simplify 1.0 into 1.0 0.133 * [backup-simplify]: Simplify (* 1 1) into 1 0.133 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.134 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.134 * [backup-simplify]: Simplify (/ 1 (- 1.0)) into -1.0 0.135 * [backup-simplify]: Simplify (* 0.25 -1.0) into -0.25 0.135 * [backup-simplify]: Simplify -0.25 into -0.25 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 (- 1.0)) (+ (* -1.0 (/ 0 (- 1.0))))) into 0 0.136 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 -1.0)) into 0 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 1) into 1 0.137 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.140 * [backup-simplify]: Simplify (- (/ 0 (- 1.0)) (+ (* -1.0 (/ 4.0 (- 1.0))) (* 0 (/ 0 (- 1.0))))) into (- 4.0) 0.142 * [backup-simplify]: Simplify (+ (* 0.25 (- 4.0)) (+ (* 0 0) (* 0 -1.0))) into (- 1.0) 0.142 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.143 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (- (/ 0 (- 1.0)) (+ (* -1.0 (/ 0 (- 1.0))) (* 0 (/ 4.0 (- 1.0))) (* (- 4.0) (/ 0 (- 1.0))))) into 0 0.145 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- 4.0)) (+ (* 0 0) (* 0 -1.0)))) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.147 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (- (/ 0 (- 1.0)) (+ (* -1.0 (/ 0 (- 1.0))) (* 0 (/ 0 (- 1.0))) (* (- 4.0) (/ 4.0 (- 1.0))) (* 0 (/ 0 (- 1.0))))) into (- 16.0) 0.154 * [backup-simplify]: Simplify (+ (* 0.25 (- 16.0)) (+ (* 0 0) (+ (* 0 (- 4.0)) (+ (* 0 0) (* 0 -1.0))))) into (- 4.0) 0.154 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.155 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow i 6)) (+ (* (- 1.0) (pow i 4)) (* -0.25 (pow i 2)))) into (- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) 0.155 * [backup-simplify]: Simplify (/ (* (/ 1 i) (/ 1 i)) (* (- (* (* 2.0 (/ 1 i)) (* 2.0 (/ 1 i))) 1.0) (* 2.0 2.0))) into (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) 0.155 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.155 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.155 * [taylor]: Taking taylor expansion of 0.25 in i 0.155 * [backup-simplify]: Simplify 0.25 into 0.25 0.155 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.155 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.155 * [taylor]: Taking taylor expansion of i in i 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.155 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.155 * [taylor]: Taking taylor expansion of 4.0 in i 0.155 * [backup-simplify]: Simplify 4.0 into 4.0 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.155 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.155 * [taylor]: Taking taylor expansion of i in i 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of 1.0 in i 0.156 * [backup-simplify]: Simplify 1.0 into 1.0 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.157 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.157 * [backup-simplify]: Simplify (* 1 4.0) into 4.0 0.157 * [backup-simplify]: Simplify (/ 0.25 4.0) into 0.0625 0.157 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.157 * [taylor]: Taking taylor expansion of 0.25 in i 0.157 * [backup-simplify]: Simplify 0.25 into 0.25 0.157 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.157 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.157 * [taylor]: Taking taylor expansion of i in i 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.157 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.157 * [taylor]: Taking taylor expansion of 4.0 in i 0.157 * [backup-simplify]: Simplify 4.0 into 4.0 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.157 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.157 * [taylor]: Taking taylor expansion of i in i 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [taylor]: Taking taylor expansion of 1.0 in i 0.158 * [backup-simplify]: Simplify 1.0 into 1.0 0.158 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.159 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.159 * [backup-simplify]: Simplify (* 1 4.0) into 4.0 0.159 * [backup-simplify]: Simplify (/ 0.25 4.0) into 0.0625 0.159 * [backup-simplify]: Simplify 0.0625 into 0.0625 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 4.0)) into 0 0.162 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 0.0625 (/ 0 4.0)))) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.164 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.164 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.166 * [backup-simplify]: Simplify (+ (* 1 (- 1.0)) (+ (* 0 0) (* 0 4.0))) into (- 1.0) 0.168 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 0.0625 (/ (- 1.0) 4.0)) (* 0 (/ 0 4.0)))) into 0.015625 0.169 * [backup-simplify]: Simplify 0.015625 into 0.015625 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (- 0) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- 1.0)) (+ (* 0 0) (* 0 4.0)))) into 0 0.173 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 0.0625 (/ 0 4.0)) (* 0 (/ (- 1.0) 4.0)) (* 0.015625 (/ 0 4.0)))) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 1.0)) (+ (* 0 0) (* 0 4.0))))) into 0 0.180 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 0.0625 (/ 0 4.0)) (* 0 (/ 0 4.0)) (* 0.015625 (/ (- 1.0) 4.0)) (* 0 (/ 0 4.0)))) into 0.00390625 0.180 * [backup-simplify]: Simplify 0.00390625 into 0.00390625 0.181 * [backup-simplify]: Simplify (+ (* 0.00390625 (pow (/ 1 i) 4)) (+ (* 0.015625 (pow (/ 1 i) 2)) 0.0625)) into (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 0.181 * [backup-simplify]: Simplify (/ (* (/ 1 (- i)) (/ 1 (- i))) (* (- (* (* 2.0 (/ 1 (- i))) (* 2.0 (/ 1 (- i)))) 1.0) (* 2.0 2.0))) into (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) 0.181 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.181 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.181 * [taylor]: Taking taylor expansion of 0.25 in i 0.181 * [backup-simplify]: Simplify 0.25 into 0.25 0.181 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.181 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.181 * [taylor]: Taking taylor expansion of i in i 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.181 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.181 * [taylor]: Taking taylor expansion of 4.0 in i 0.181 * [backup-simplify]: Simplify 4.0 into 4.0 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.181 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.181 * [taylor]: Taking taylor expansion of i in i 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (* 1 1) into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [taylor]: Taking taylor expansion of 1.0 in i 0.182 * [backup-simplify]: Simplify 1.0 into 1.0 0.182 * [backup-simplify]: Simplify (* 1 1) into 1 0.182 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.183 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.183 * [backup-simplify]: Simplify (* 1 4.0) into 4.0 0.184 * [backup-simplify]: Simplify (/ 0.25 4.0) into 0.0625 0.184 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.184 * [taylor]: Taking taylor expansion of 0.25 in i 0.184 * [backup-simplify]: Simplify 0.25 into 0.25 0.184 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.184 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.184 * [taylor]: Taking taylor expansion of i in i 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.184 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.184 * [taylor]: Taking taylor expansion of 4.0 in i 0.184 * [backup-simplify]: Simplify 4.0 into 4.0 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.184 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.184 * [taylor]: Taking taylor expansion of i in i 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (* 1 1) into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of 1.0 in i 0.184 * [backup-simplify]: Simplify 1.0 into 1.0 0.185 * [backup-simplify]: Simplify (* 1 1) into 1 0.185 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.185 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.185 * [backup-simplify]: Simplify (* 1 4.0) into 4.0 0.186 * [backup-simplify]: Simplify (/ 0.25 4.0) into 0.0625 0.186 * [backup-simplify]: Simplify 0.0625 into 0.0625 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 4.0)) into 0 0.189 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 0.0625 (/ 0 4.0)))) into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.193 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.194 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.196 * [backup-simplify]: Simplify (+ (* 1 (- 1.0)) (+ (* 0 0) (* 0 4.0))) into (- 1.0) 0.198 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 0.0625 (/ (- 1.0) 4.0)) (* 0 (/ 0 4.0)))) into 0.015625 0.198 * [backup-simplify]: Simplify 0.015625 into 0.015625 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- 1.0)) (+ (* 0 0) (* 0 4.0)))) into 0 0.203 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 0.0625 (/ 0 4.0)) (* 0 (/ (- 1.0) 4.0)) (* 0.015625 (/ 0 4.0)))) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 1.0)) (+ (* 0 0) (* 0 4.0))))) into 0 0.209 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 0.0625 (/ 0 4.0)) (* 0 (/ 0 4.0)) (* 0.015625 (/ (- 1.0) 4.0)) (* 0 (/ 0 4.0)))) into 0.00390625 0.209 * [backup-simplify]: Simplify 0.00390625 into 0.00390625 0.210 * [backup-simplify]: Simplify (+ (* 0.00390625 (pow (/ 1 (- i)) 4)) (+ (* 0.015625 (pow (/ 1 (- i)) 2)) 0.0625)) into (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 0.210 * * * [progress]: simplifying candidates 0.211 * [simplify]: Simplifying: (- (+ (log i) (log i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (+ (log 2.0) (log 2.0)))) (- (+ (log i) (log i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (log (* 2.0 2.0)))) (- (+ (log i) (log i)) (log (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (- (log (* i i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (+ (log 2.0) (log 2.0)))) (- (log (* i i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (log (* 2.0 2.0)))) (- (log (* i i)) (log (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (exp (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (* (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (* (* (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (- (* i i)) (- (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)) (/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i)) (/ (* i i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) (/ (* i i) (* (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3)) (* 2.0 2.0))) (/ (* i i) (* (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0)) (* 2.0 2.0))) (- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 0.211 * [simplify]: Sending expressions to egg_math: (- (+ (log h0) (log h0)) (+ (log (- (* (* h1 h0) (* h1 h0)) h2)) (+ (log h1) (log h1)))) (- (+ (log h0) (log h0)) (+ (log (- (* (* h1 h0) (* h1 h0)) h2)) (log (* h1 h1)))) (- (+ (log h0) (log h0)) (log (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (- (log (* h0 h0)) (+ (log (- (* (* h1 h0) (* h1 h0)) h2)) (+ (log h1) (log h1)))) (- (log (* h0 h0)) (+ (log (- (* (* h1 h0) (* h1 h0)) h2)) (log (* h1 h1)))) (- (log (* h0 h0)) (log (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (log (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (exp (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (/ (* (* (* h0 h0) h0) (* (* h0 h0) h0)) (* (* (* (- (* (* h1 h0) (* h1 h0)) h2) (- (* (* h1 h0) (* h1 h0)) h2)) (- (* (* h1 h0) (* h1 h0)) h2)) (* (* (* h1 h1) h1) (* (* h1 h1) h1)))) (/ (* (* (* h0 h0) h0) (* (* h0 h0) h0)) (* (* (* (- (* (* h1 h0) (* h1 h0)) h2) (- (* (* h1 h0) (* h1 h0)) h2)) (- (* (* h1 h0) (* h1 h0)) h2)) (* (* (* h1 h1) (* h1 h1)) (* h1 h1)))) (/ (* (* (* h0 h0) h0) (* (* h0 h0) h0)) (* (* (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1))) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (/ (* (* (* h0 h0) (* h0 h0)) (* h0 h0)) (* (* (* (- (* (* h1 h0) (* h1 h0)) h2) (- (* (* h1 h0) (* h1 h0)) h2)) (- (* (* h1 h0) (* h1 h0)) h2)) (* (* (* h1 h1) h1) (* (* h1 h1) h1)))) (/ (* (* (* h0 h0) (* h0 h0)) (* h0 h0)) (* (* (* (- (* (* h1 h0) (* h1 h0)) h2) (- (* (* h1 h0) (* h1 h0)) h2)) (- (* (* h1 h0) (* h1 h0)) h2)) (* (* (* h1 h1) (* h1 h1)) (* h1 h1)))) (/ (* (* (* h0 h0) (* h0 h0)) (* h0 h0)) (* (* (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1))) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (* (cbrt (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (cbrt (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1))))) (cbrt (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (* (* (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1))) (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (sqrt (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (sqrt (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (- (* h0 h0)) (- (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1))) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)) (/ 1 (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1))) (/ (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)) (* h0 h0)) (/ (* h0 h0) (- (* (* h1 h0) (* h1 h0)) h2)) (/ (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)) h0) (/ (* h0 h0) (* (- (pow (* (* h1 h0) (* h1 h0)) 3) (pow h2 3)) (* h1 h1))) (/ (* h0 h0) (* (- (* (* (* h1 h0) (* h1 h0)) (* (* h1 h0) (* h1 h0))) (* h2 h2)) (* h1 h1))) (- (+ (* h3 (pow h0 2)) (+ (* h2 (pow h0 4)) (* h4 (pow h0 6))))) (+ (* h5 (/ 1 (pow h0 4))) (+ (* h6 (/ 1 (pow h0 2))) h7)) (+ (* h5 (/ 1 (pow h0 4))) (+ (* h6 (/ 1 (pow h0 2))) h7)) 0.215 * * [simplify]: iteration 0 : 311 enodes (cost 392 ) 0.221 * * [simplify]: iteration 1 : 1550 enodes (cost 273 ) 0.249 * * [simplify]: iteration 2 : 5001 enodes (cost 273 ) 0.250 * * * [progress]: adding candidates to table 0.293 * * [progress]: iteration 2 / 4 0.293 * * * [progress]: picking best candidate 0.296 * * * * [pick]: Picked # 0.296 * * * [progress]: localizing error 0.305 * * * [progress]: generating rewritten candidates 0.305 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.354 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.495 * * * [progress]: generating series expansions 0.496 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.496 * [backup-simplify]: Simplify (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) into (/ i (- (* 4.0 (pow i 2)) 1.0)) 0.496 * [approximate]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in (i) around 0 0.496 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in i 0.496 * [taylor]: Taking taylor expansion of i in i 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.496 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.496 * [taylor]: Taking taylor expansion of 4.0 in i 0.496 * [backup-simplify]: Simplify 4.0 into 4.0 0.496 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.496 * [taylor]: Taking taylor expansion of i in i 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [taylor]: Taking taylor expansion of 1.0 in i 0.496 * [backup-simplify]: Simplify 1.0 into 1.0 0.497 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.497 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.498 * [backup-simplify]: Simplify (/ 1 (- 1.0)) into -1.0 0.498 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in i 0.498 * [taylor]: Taking taylor expansion of i in i 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.498 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.498 * [taylor]: Taking taylor expansion of 4.0 in i 0.498 * [backup-simplify]: Simplify 4.0 into 4.0 0.498 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.498 * [taylor]: Taking taylor expansion of i in i 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of 1.0 in i 0.498 * [backup-simplify]: Simplify 1.0 into 1.0 0.498 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.499 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.499 * [backup-simplify]: Simplify (/ 1 (- 1.0)) into -1.0 0.499 * [backup-simplify]: Simplify -1.0 into -1.0 0.500 * [backup-simplify]: Simplify (- 0) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (- (/ 0 (- 1.0)) (+ (* -1.0 (/ 0 (- 1.0))))) into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.501 * [backup-simplify]: Simplify (- 0) into 0 0.501 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.504 * [backup-simplify]: Simplify (- (/ 0 (- 1.0)) (+ (* -1.0 (/ 4.0 (- 1.0))) (* 0 (/ 0 (- 1.0))))) into (- 4.0) 0.504 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [backup-simplify]: Simplify (- (/ 0 (- 1.0)) (+ (* -1.0 (/ 0 (- 1.0))) (* 0 (/ 4.0 (- 1.0))) (* (- 4.0) (/ 0 (- 1.0))))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.507 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.507 * [backup-simplify]: Simplify (- 0) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.512 * [backup-simplify]: Simplify (- (/ 0 (- 1.0)) (+ (* -1.0 (/ 0 (- 1.0))) (* 0 (/ 0 (- 1.0))) (* (- 4.0) (/ 4.0 (- 1.0))) (* 0 (/ 0 (- 1.0))))) into (- 16.0) 0.512 * [backup-simplify]: Simplify (- 16.0) into (- 16.0) 0.513 * [backup-simplify]: Simplify (+ (* (- 16.0) (pow i 5)) (+ (* (- 4.0) (pow i 3)) (* -1.0 i))) into (- (+ (* 4.0 (pow i 3)) (+ (* 16.0 (pow i 5)) (* 1.0 i)))) 0.513 * [backup-simplify]: Simplify (/ (/ 1 i) (- (* (* 2.0 (/ 1 i)) (* 2.0 (/ 1 i))) 1.0)) into (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) 0.513 * [approximate]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.513 * [taylor]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.513 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.513 * [taylor]: Taking taylor expansion of i in i 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.513 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.513 * [taylor]: Taking taylor expansion of 4.0 in i 0.513 * [backup-simplify]: Simplify 4.0 into 4.0 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.513 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.513 * [taylor]: Taking taylor expansion of i in i 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (* 1 1) into 1 0.513 * [backup-simplify]: Simplify (/ 1 1) into 1 0.513 * [taylor]: Taking taylor expansion of 1.0 in i 0.514 * [backup-simplify]: Simplify 1.0 into 1.0 0.514 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.514 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.514 * [backup-simplify]: Simplify (* 0 4.0) into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 4.0)) into 4.0 0.517 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 0.517 * [taylor]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.517 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.517 * [taylor]: Taking taylor expansion of i in i 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.517 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.517 * [taylor]: Taking taylor expansion of 4.0 in i 0.517 * [backup-simplify]: Simplify 4.0 into 4.0 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.517 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.517 * [taylor]: Taking taylor expansion of i in i 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [taylor]: Taking taylor expansion of 1.0 in i 0.517 * [backup-simplify]: Simplify 1.0 into 1.0 0.518 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.518 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.518 * [backup-simplify]: Simplify (* 0 4.0) into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 4.0)) into 4.0 0.520 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 0.521 * [backup-simplify]: Simplify 0.25 into 0.25 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.522 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.523 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.523 * [backup-simplify]: Simplify (+ (* 0 (- 1.0)) (+ (* 1 0) (* 0 4.0))) into 0 0.524 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 0 4.0)))) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (- 0) into 0 0.526 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 1.0)) (+ (* 0 0) (* 0 4.0)))) into (- 1.0) 0.530 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ (- 1.0) 4.0)) (* 0 (/ 0 4.0)))) into 0.0625 0.530 * [backup-simplify]: Simplify 0.0625 into 0.0625 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.532 * [backup-simplify]: Simplify (- 0) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 1.0)) (+ (* 0 0) (* 0 4.0))))) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 0 4.0)) (* 0 (/ (- 1.0) 4.0)) (* 0.0625 (/ 0 4.0)))) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.536 * [backup-simplify]: Simplify (- 0) into 0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 1.0)) (+ (* 0 0) (* 0 4.0)))))) into 0 0.543 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 0 4.0)) (* 0 (/ 0 4.0)) (* 0.0625 (/ (- 1.0) 4.0)) (* 0 (/ 0 4.0)))) into 0.015625 0.543 * [backup-simplify]: Simplify 0.015625 into 0.015625 0.544 * [backup-simplify]: Simplify (+ (* 0.015625 (pow (/ 1 i) 5)) (+ (* 0.0625 (pow (/ 1 i) 3)) (* 0.25 (/ 1 i)))) into (+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.25 (/ 1 i)) (* 0.0625 (/ 1 (pow i 3))))) 0.544 * [backup-simplify]: Simplify (/ (/ 1 (- i)) (- (* (* 2.0 (/ 1 (- i))) (* 2.0 (/ 1 (- i)))) 1.0)) into (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) 0.544 * [approximate]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.544 * [taylor]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.544 * [taylor]: Taking taylor expansion of -1 in i 0.544 * [backup-simplify]: Simplify -1 into -1 0.544 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.544 * [taylor]: Taking taylor expansion of i in i 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.544 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.544 * [taylor]: Taking taylor expansion of 4.0 in i 0.544 * [backup-simplify]: Simplify 4.0 into 4.0 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.544 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.544 * [taylor]: Taking taylor expansion of i in i 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (* 1 1) into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [taylor]: Taking taylor expansion of 1.0 in i 0.544 * [backup-simplify]: Simplify 1.0 into 1.0 0.545 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.545 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.545 * [backup-simplify]: Simplify (* 0 4.0) into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 4.0)) into 4.0 0.548 * [backup-simplify]: Simplify (/ -1 4.0) into -0.25 0.548 * [taylor]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.548 * [taylor]: Taking taylor expansion of -1 in i 0.548 * [backup-simplify]: Simplify -1 into -1 0.548 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.548 * [taylor]: Taking taylor expansion of i in i 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.548 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.548 * [taylor]: Taking taylor expansion of 4.0 in i 0.548 * [backup-simplify]: Simplify 4.0 into 4.0 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.548 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.548 * [taylor]: Taking taylor expansion of i in i 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (* 1 1) into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [taylor]: Taking taylor expansion of 1.0 in i 0.548 * [backup-simplify]: Simplify 1.0 into 1.0 0.549 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.549 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.549 * [backup-simplify]: Simplify (* 0 4.0) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 4.0)) into 4.0 0.551 * [backup-simplify]: Simplify (/ -1 4.0) into -0.25 0.552 * [backup-simplify]: Simplify -0.25 into -0.25 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.553 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.554 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.554 * [backup-simplify]: Simplify (+ (* 0 (- 1.0)) (+ (* 1 0) (* 0 4.0))) into 0 0.555 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* -0.25 (/ 0 4.0)))) into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (- 0) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 1.0)) (+ (* 0 0) (* 0 4.0)))) into (- 1.0) 0.562 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* -0.25 (/ (- 1.0) 4.0)) (* 0 (/ 0 4.0)))) into (- 0.0625) 0.562 * [backup-simplify]: Simplify (- 0.0625) into (- 0.0625) 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.564 * [backup-simplify]: Simplify (- 0) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 1.0)) (+ (* 0 0) (* 0 4.0))))) into 0 0.566 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* -0.25 (/ 0 4.0)) (* 0 (/ (- 1.0) 4.0)) (* (- 0.0625) (/ 0 4.0)))) into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.568 * [backup-simplify]: Simplify (- 0) into 0 0.568 * [backup-simplify]: Simplify (+ 0 0) into 0 0.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 1.0)) (+ (* 0 0) (* 0 4.0)))))) into 0 0.573 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* -0.25 (/ 0 4.0)) (* 0 (/ 0 4.0)) (* (- 0.0625) (/ (- 1.0) 4.0)) (* 0 (/ 0 4.0)))) into (- 0.015625) 0.573 * [backup-simplify]: Simplify (- 0.015625) into (- 0.015625) 0.574 * [backup-simplify]: Simplify (+ (* (- 0.015625) (pow (/ 1 (- i)) 5)) (+ (* (- 0.0625) (pow (/ 1 (- i)) 3)) (* -0.25 (/ 1 (- i))))) into (+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.25 (/ 1 i)) (* 0.0625 (/ 1 (pow i 3))))) 0.574 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.574 * [backup-simplify]: Simplify (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) into (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) 0.575 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.575 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.575 * [taylor]: Taking taylor expansion of 0.25 in i 0.575 * [backup-simplify]: Simplify 0.25 into 0.25 0.575 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.575 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.575 * [taylor]: Taking taylor expansion of i in i 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.575 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.575 * [taylor]: Taking taylor expansion of 4.0 in i 0.575 * [backup-simplify]: Simplify 4.0 into 4.0 0.575 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.575 * [taylor]: Taking taylor expansion of i in i 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [taylor]: Taking taylor expansion of 1.0 in i 0.575 * [backup-simplify]: Simplify 1.0 into 1.0 0.575 * [backup-simplify]: Simplify (* 1 1) into 1 0.575 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.576 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.576 * [backup-simplify]: Simplify (/ 1 (- 1.0)) into -1.0 0.576 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.576 * [taylor]: Taking taylor expansion of 0.25 in i 0.576 * [backup-simplify]: Simplify 0.25 into 0.25 0.576 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.576 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.576 * [taylor]: Taking taylor expansion of i in i 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.577 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.577 * [taylor]: Taking taylor expansion of 4.0 in i 0.577 * [backup-simplify]: Simplify 4.0 into 4.0 0.577 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.577 * [taylor]: Taking taylor expansion of i in i 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [taylor]: Taking taylor expansion of 1.0 in i 0.577 * [backup-simplify]: Simplify 1.0 into 1.0 0.577 * [backup-simplify]: Simplify (* 1 1) into 1 0.577 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.578 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.578 * [backup-simplify]: Simplify (/ 1 (- 1.0)) into -1.0 0.578 * [backup-simplify]: Simplify (* 0.25 -1.0) into -0.25 0.579 * [backup-simplify]: Simplify -0.25 into -0.25 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.579 * [backup-simplify]: Simplify (- 0) into 0 0.579 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (- (/ 0 (- 1.0)) (+ (* -1.0 (/ 0 (- 1.0))))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 -1.0)) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.581 * [backup-simplify]: Simplify (* 1 1) into 1 0.581 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.581 * [backup-simplify]: Simplify (- 0) into 0 0.582 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.584 * [backup-simplify]: Simplify (- (/ 0 (- 1.0)) (+ (* -1.0 (/ 4.0 (- 1.0))) (* 0 (/ 0 (- 1.0))))) into (- 4.0) 0.586 * [backup-simplify]: Simplify (+ (* 0.25 (- 4.0)) (+ (* 0 0) (* 0 -1.0))) into (- 1.0) 0.586 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.587 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.588 * [backup-simplify]: Simplify (- 0) into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.589 * [backup-simplify]: Simplify (- (/ 0 (- 1.0)) (+ (* -1.0 (/ 0 (- 1.0))) (* 0 (/ 4.0 (- 1.0))) (* (- 4.0) (/ 0 (- 1.0))))) into 0 0.589 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- 4.0)) (+ (* 0 0) (* 0 -1.0)))) into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.591 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.591 * [backup-simplify]: Simplify (- 0) into 0 0.591 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (- (/ 0 (- 1.0)) (+ (* -1.0 (/ 0 (- 1.0))) (* 0 (/ 0 (- 1.0))) (* (- 4.0) (/ 4.0 (- 1.0))) (* 0 (/ 0 (- 1.0))))) into (- 16.0) 0.598 * [backup-simplify]: Simplify (+ (* 0.25 (- 16.0)) (+ (* 0 0) (+ (* 0 (- 4.0)) (+ (* 0 0) (* 0 -1.0))))) into (- 4.0) 0.598 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.599 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow i 6)) (+ (* (- 1.0) (pow i 4)) (* -0.25 (pow i 2)))) into (- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) 0.599 * [backup-simplify]: Simplify (* (/ (/ 1 i) (- (* (* 2.0 (/ 1 i)) (* 2.0 (/ 1 i))) 1.0)) (/ (/ 1 i) (* 2.0 2.0))) into (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) 0.599 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.599 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.599 * [taylor]: Taking taylor expansion of 0.25 in i 0.599 * [backup-simplify]: Simplify 0.25 into 0.25 0.599 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.599 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.599 * [taylor]: Taking taylor expansion of i in i 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.599 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.599 * [taylor]: Taking taylor expansion of 4.0 in i 0.599 * [backup-simplify]: Simplify 4.0 into 4.0 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.600 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.600 * [taylor]: Taking taylor expansion of i in i 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (* 1 1) into 1 0.600 * [backup-simplify]: Simplify (/ 1 1) into 1 0.600 * [taylor]: Taking taylor expansion of 1.0 in i 0.600 * [backup-simplify]: Simplify 1.0 into 1.0 0.600 * [backup-simplify]: Simplify (* 1 1) into 1 0.601 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.601 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.601 * [backup-simplify]: Simplify (* 1 4.0) into 4.0 0.601 * [backup-simplify]: Simplify (/ 0.25 4.0) into 0.0625 0.601 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.601 * [taylor]: Taking taylor expansion of 0.25 in i 0.601 * [backup-simplify]: Simplify 0.25 into 0.25 0.601 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.601 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.601 * [taylor]: Taking taylor expansion of i in i 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.601 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.601 * [taylor]: Taking taylor expansion of 4.0 in i 0.601 * [backup-simplify]: Simplify 4.0 into 4.0 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.602 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.602 * [taylor]: Taking taylor expansion of i in i 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (* 1 1) into 1 0.602 * [backup-simplify]: Simplify (/ 1 1) into 1 0.602 * [taylor]: Taking taylor expansion of 1.0 in i 0.602 * [backup-simplify]: Simplify 1.0 into 1.0 0.602 * [backup-simplify]: Simplify (* 1 1) into 1 0.603 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.603 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.603 * [backup-simplify]: Simplify (* 1 4.0) into 4.0 0.603 * [backup-simplify]: Simplify (/ 0.25 4.0) into 0.0625 0.603 * [backup-simplify]: Simplify 0.0625 into 0.0625 0.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.605 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 4.0)) into 0 0.606 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 0.0625 (/ 0 4.0)))) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.608 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.608 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 (- 1.0)) (+ (* 0 0) (* 0 4.0))) into (- 1.0) 0.613 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 0.0625 (/ (- 1.0) 4.0)) (* 0 (/ 0 4.0)))) into 0.015625 0.613 * [backup-simplify]: Simplify 0.015625 into 0.015625 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (- 0) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- 1.0)) (+ (* 0 0) (* 0 4.0)))) into 0 0.617 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 0.0625 (/ 0 4.0)) (* 0 (/ (- 1.0) 4.0)) (* 0.015625 (/ 0 4.0)))) into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.619 * [backup-simplify]: Simplify (- 0) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 1.0)) (+ (* 0 0) (* 0 4.0))))) into 0 0.626 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 0.0625 (/ 0 4.0)) (* 0 (/ 0 4.0)) (* 0.015625 (/ (- 1.0) 4.0)) (* 0 (/ 0 4.0)))) into 0.00390625 0.626 * [backup-simplify]: Simplify 0.00390625 into 0.00390625 0.627 * [backup-simplify]: Simplify (+ (* 0.00390625 (pow (/ 1 i) 4)) (+ (* 0.015625 (pow (/ 1 i) 2)) 0.0625)) into (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 0.627 * [backup-simplify]: Simplify (* (/ (/ 1 (- i)) (- (* (* 2.0 (/ 1 (- i))) (* 2.0 (/ 1 (- i)))) 1.0)) (/ (/ 1 (- i)) (* 2.0 2.0))) into (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) 0.627 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.627 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.627 * [taylor]: Taking taylor expansion of 0.25 in i 0.627 * [backup-simplify]: Simplify 0.25 into 0.25 0.627 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.627 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.627 * [taylor]: Taking taylor expansion of i in i 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.627 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.627 * [taylor]: Taking taylor expansion of 4.0 in i 0.627 * [backup-simplify]: Simplify 4.0 into 4.0 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.627 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.627 * [taylor]: Taking taylor expansion of i in i 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (* 1 1) into 1 0.628 * [backup-simplify]: Simplify (/ 1 1) into 1 0.628 * [taylor]: Taking taylor expansion of 1.0 in i 0.628 * [backup-simplify]: Simplify 1.0 into 1.0 0.628 * [backup-simplify]: Simplify (* 1 1) into 1 0.628 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.629 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.629 * [backup-simplify]: Simplify (* 1 4.0) into 4.0 0.629 * [backup-simplify]: Simplify (/ 0.25 4.0) into 0.0625 0.629 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.629 * [taylor]: Taking taylor expansion of 0.25 in i 0.629 * [backup-simplify]: Simplify 0.25 into 0.25 0.629 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.629 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.629 * [taylor]: Taking taylor expansion of i in i 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.629 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.629 * [taylor]: Taking taylor expansion of 4.0 in i 0.629 * [backup-simplify]: Simplify 4.0 into 4.0 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.629 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.629 * [taylor]: Taking taylor expansion of i in i 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (* 1 1) into 1 0.630 * [backup-simplify]: Simplify (/ 1 1) into 1 0.630 * [taylor]: Taking taylor expansion of 1.0 in i 0.630 * [backup-simplify]: Simplify 1.0 into 1.0 0.630 * [backup-simplify]: Simplify (* 1 1) into 1 0.630 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.630 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.631 * [backup-simplify]: Simplify (* 1 4.0) into 4.0 0.631 * [backup-simplify]: Simplify (/ 0.25 4.0) into 0.0625 0.631 * [backup-simplify]: Simplify 0.0625 into 0.0625 0.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.632 * [backup-simplify]: Simplify (+ 0 0) into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 4.0)) into 0 0.634 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 0.0625 (/ 0 4.0)))) into 0 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.635 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.636 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 (- 1.0)) (+ (* 0 0) (* 0 4.0))) into (- 1.0) 0.640 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 0.0625 (/ (- 1.0) 4.0)) (* 0 (/ 0 4.0)))) into 0.015625 0.640 * [backup-simplify]: Simplify 0.015625 into 0.015625 0.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (- 0) into 0 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- 1.0)) (+ (* 0 0) (* 0 4.0)))) into 0 0.644 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 0.0625 (/ 0 4.0)) (* 0 (/ (- 1.0) 4.0)) (* 0.015625 (/ 0 4.0)))) into 0 0.644 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.646 * [backup-simplify]: Simplify (- 0) into 0 0.647 * [backup-simplify]: Simplify (+ 0 0) into 0 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 1.0)) (+ (* 0 0) (* 0 4.0))))) into 0 0.651 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 0.0625 (/ 0 4.0)) (* 0 (/ 0 4.0)) (* 0.015625 (/ (- 1.0) 4.0)) (* 0 (/ 0 4.0)))) into 0.00390625 0.652 * [backup-simplify]: Simplify 0.00390625 into 0.00390625 0.652 * [backup-simplify]: Simplify (+ (* 0.00390625 (pow (/ 1 (- i)) 4)) (+ (* 0.015625 (pow (/ 1 (- i)) 2)) 0.0625)) into (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 0.652 * * * [progress]: simplifying candidates 0.654 * [simplify]: Simplifying: (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (exp (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* i i) i) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- i) (- (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (cbrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (cbrt i) (cbrt i)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (cbrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (cbrt i) (cbrt i)) 1) (/ (cbrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) (+ (* 2.0 i) (sqrt 1.0))) (/ (cbrt i) (- (* 2.0 i) (sqrt 1.0))) (/ (sqrt i) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (sqrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 1) (/ (sqrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0))) (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ 1 (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ i (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ 1 (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ 1 1) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))) (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i) (/ i (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i 1) (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (cbrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (sqrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i) (/ i (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3))) (/ i (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (+ (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- (log i) (+ (log 2.0) (log 2.0)))) (+ (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- (log i) (log (* 2.0 2.0)))) (+ (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ i (* 2.0 2.0)))) (+ (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- (log i) (+ (log 2.0) (log 2.0)))) (+ (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- (log i) (log (* 2.0 2.0)))) (+ (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (exp (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (* (/ (* (* i i) i) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* i i) i) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (* (/ (* (* i i) i) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* i i) i) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (* (/ (* (* i i) i) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (* (/ i (* 2.0 2.0)) (/ i (* 2.0 2.0))) (/ i (* 2.0 2.0)))) (* (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* i i) i) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (* (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* i i) i) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (* (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (* (/ i (* 2.0 2.0)) (/ i (* 2.0 2.0))) (/ i (* 2.0 2.0)))) (* (cbrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (cbrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))))) (cbrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (* (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (sqrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (sqrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 2.0)) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 2.0)) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 2.0)) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 2.0)) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (cbrt (/ i (* 2.0 2.0))) (cbrt (/ i (* 2.0 2.0))))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (sqrt (/ i (* 2.0 2.0)))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) 2.0)) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (sqrt i) 2.0)) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ 1 2.0)) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 1) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) i) (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ i (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (+ (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (+ (* 1.0 1.0) (* (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) i) (* i (/ i (* 2.0 2.0))) (- (+ (* 4.0 (pow i 3)) (+ (* 16.0 (pow i 5)) (* 1.0 i)))) (+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.25 (/ 1 i)) (* 0.0625 (/ 1 (pow i 3))))) (+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.25 (/ 1 i)) (* 0.0625 (/ 1 (pow i 3))))) (- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 0.654 * [simplify]: Sending expressions to egg_math: (- (log h0) (log (- (* (* h1 h0) (* h1 h0)) h2))) (log (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (exp (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ (* (* h0 h0) h0) (* (* (- (* (* h1 h0) (* h1 h0)) h2) (- (* (* h1 h0) (* h1 h0)) h2)) (- (* (* h1 h0) (* h1 h0)) h2))) (* (cbrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (cbrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)))) (cbrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (* (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (sqrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (sqrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (- h0) (- (- (* (* h1 h0) (* h1 h0)) h2)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (- (* (* h1 h0) (* h1 h0)) h2)) (cbrt (- (* (* h1 h0) (* h1 h0)) h2)))) (/ (cbrt h0) (cbrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ (cbrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (- (* (* h1 h0) (* h1 h0)) h2)) (/ (* (cbrt h0) (cbrt h0)) (+ (* h1 h0) (sqrt h2))) (/ (cbrt h0) (- (* h1 h0) (sqrt h2))) (/ (sqrt h0) (* (cbrt (- (* (* h1 h0) (* h1 h0)) h2)) (cbrt (- (* (* h1 h0) (* h1 h0)) h2)))) (/ (sqrt h0) (cbrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ (sqrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ (sqrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ (sqrt h0) 1) (/ (sqrt h0) (- (* (* h1 h0) (* h1 h0)) h2)) (/ (sqrt h0) (+ (* h1 h0) (sqrt h2))) (/ (sqrt h0) (- (* h1 h0) (sqrt h2))) (/ 1 (* (cbrt (- (* (* h1 h0) (* h1 h0)) h2)) (cbrt (- (* (* h1 h0) (* h1 h0)) h2)))) (/ h0 (cbrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ 1 (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ 1 1) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ 1 (+ (* h1 h0) (sqrt h2))) (/ h0 (- (* h1 h0) (sqrt h2))) (/ 1 (- (* (* h1 h0) (* h1 h0)) h2)) (/ (- (* (* h1 h0) (* h1 h0)) h2) h0) (/ h0 (* (cbrt (- (* (* h1 h0) (* h1 h0)) h2)) (cbrt (- (* (* h1 h0) (* h1 h0)) h2)))) (/ h0 (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 1) (/ h0 (+ (* h1 h0) (sqrt h2))) (/ (- (* (* h1 h0) (* h1 h0)) h2) (cbrt h0)) (/ (- (* (* h1 h0) (* h1 h0)) h2) (sqrt h0)) (/ (- (* (* h1 h0) (* h1 h0)) h2) h0) (/ h0 (- (pow (* (* h1 h0) (* h1 h0)) 3) (pow h2 3))) (/ h0 (- (* (* (* h1 h0) (* h1 h0)) (* (* h1 h0) (* h1 h0))) (* h2 h2))) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1))) (+ (- (log h0) (log (- (* (* h1 h0) (* h1 h0)) h2))) (- (log h0) (+ (log h1) (log h1)))) (+ (- (log h0) (log (- (* (* h1 h0) (* h1 h0)) h2))) (- (log h0) (log (* h1 h1)))) (+ (- (log h0) (log (- (* (* h1 h0) (* h1 h0)) h2))) (log (/ h0 (* h1 h1)))) (+ (log (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (- (log h0) (+ (log h1) (log h1)))) (+ (log (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (- (log h0) (log (* h1 h1)))) (+ (log (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (log (/ h0 (* h1 h1)))) (log (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)))) (exp (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)))) (* (/ (* (* h0 h0) h0) (* (* (- (* (* h1 h0) (* h1 h0)) h2) (- (* (* h1 h0) (* h1 h0)) h2)) (- (* (* h1 h0) (* h1 h0)) h2))) (/ (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h1 h1) h1)))) (* (/ (* (* h0 h0) h0) (* (* (- (* (* h1 h0) (* h1 h0)) h2) (- (* (* h1 h0) (* h1 h0)) h2)) (- (* (* h1 h0) (* h1 h0)) h2))) (/ (* (* h0 h0) h0) (* (* (* h1 h1) (* h1 h1)) (* h1 h1)))) (* (/ (* (* h0 h0) h0) (* (* (- (* (* h1 h0) (* h1 h0)) h2) (- (* (* h1 h0) (* h1 h0)) h2)) (- (* (* h1 h0) (* h1 h0)) h2))) (* (* (/ h0 (* h1 h1)) (/ h0 (* h1 h1))) (/ h0 (* h1 h1)))) (* (* (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h1 h1) h1)))) (* (* (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ (* (* h0 h0) h0) (* (* (* h1 h1) (* h1 h1)) (* h1 h1)))) (* (* (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (* (* (/ h0 (* h1 h1)) (/ h0 (* h1 h1))) (/ h0 (* h1 h1)))) (* (cbrt (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)))) (cbrt (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1))))) (cbrt (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)))) (* (* (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1))) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)))) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)))) (sqrt (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)))) (sqrt (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)))) (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)) (* (sqrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (sqrt (/ h0 (* h1 h1)))) (* (sqrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (sqrt (/ h0 (* h1 h1)))) (* (sqrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ (sqrt h0) h1)) (* (sqrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ (sqrt h0) h1)) (* (/ (sqrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (sqrt (/ h0 (* h1 h1)))) (* (/ (sqrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (sqrt (/ h0 (* h1 h1)))) (* (/ (sqrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ (sqrt h0) h1)) (* (/ (sqrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ (sqrt h0) h1)) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (* (cbrt (/ h0 (* h1 h1))) (cbrt (/ h0 (* h1 h1))))) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (sqrt (/ h0 (* h1 h1)))) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ (* (cbrt h0) (cbrt h0)) h1)) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ (sqrt h0) h1)) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ 1 h1)) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) 1) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) h0) (* (cbrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (sqrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (/ (cbrt h0) (cbrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (/ (cbrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (/ (cbrt h0) (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1))) (* (/ (cbrt h0) (- (* h1 h0) (sqrt h2))) (/ h0 (* h1 h1))) (* (/ (sqrt h0) (cbrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (/ (sqrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (/ (sqrt h0) (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1))) (* (/ (sqrt h0) (- (* h1 h0) (sqrt h2))) (/ h0 (* h1 h1))) (* (/ h0 (cbrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (/ h0 (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1))) (* (/ h0 (- (* h1 h0) (sqrt h2))) (/ h0 (* h1 h1))) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1))) (* (/ 1 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1))) (* (+ (* (* (* h1 h0) (* h1 h0)) (* (* h1 h0) (* h1 h0))) (+ (* h2 h2) (* (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (+ (* (* h1 h0) (* h1 h0)) h2) (/ h0 (* h1 h1))) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) h0) (* h0 (/ h0 (* h1 h1))) (- (+ (* h3 (pow h0 3)) (+ (* h4 (pow h0 5)) (* h2 h0)))) (+ (* h5 (/ 1 (pow h0 5))) (+ (* h6 (/ 1 h0)) (* h7 (/ 1 (pow h0 3))))) (+ (* h5 (/ 1 (pow h0 5))) (+ (* h6 (/ 1 h0)) (* h7 (/ 1 (pow h0 3))))) (- (+ (* h6 (pow h0 2)) (+ (* h2 (pow h0 4)) (* h3 (pow h0 6))))) (+ (* h8 (/ 1 (pow h0 4))) (+ (* h5 (/ 1 (pow h0 2))) h7)) (+ (* h8 (/ 1 (pow h0 4))) (+ (* h5 (/ 1 (pow h0 2))) h7)) 0.660 * * [simplify]: iteration 0 : 530 enodes (cost 978 ) 0.670 * * [simplify]: iteration 1 : 2493 enodes (cost 842 ) 0.710 * * [simplify]: iteration 2 : 5001 enodes (cost 833 ) 0.714 * * * [progress]: adding candidates to table 0.893 * * [progress]: iteration 3 / 4 0.893 * * * [progress]: picking best candidate 0.895 * * * * [pick]: Picked # 0.895 * * * [progress]: localizing error 0.907 * * * [progress]: generating rewritten candidates 0.907 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.918 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.926 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.969 * * * [progress]: generating series expansions 0.969 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.969 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 0.969 * [approximate]: Taking taylor expansion of (/ 1 (pow i 2)) in (i) around 0 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.969 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.969 * [taylor]: Taking taylor expansion of i in i 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (* 1 1) into 1 0.970 * [backup-simplify]: Simplify (/ 1 1) into 1 0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.970 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.970 * [taylor]: Taking taylor expansion of i in i 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (* 1 1) into 1 0.970 * [backup-simplify]: Simplify (/ 1 1) into 1 0.970 * [backup-simplify]: Simplify 1 into 1 0.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.976 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify (* 1 (pow (/ 1 i) 2)) into (/ 1 (pow i 2)) 0.977 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 i) 2)) into (pow i 2) 0.977 * [approximate]: Taking taylor expansion of (pow i 2) in (i) around 0 0.977 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.977 * [taylor]: Taking taylor expansion of i in i 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 1 into 1 0.977 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.977 * [taylor]: Taking taylor expansion of i in i 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 1 into 1 0.977 * [backup-simplify]: Simplify (* 1 1) into 1 0.977 * [backup-simplify]: Simplify 1 into 1 0.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.980 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.981 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.982 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.983 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify (* 1 (pow (/ 1 i) 2)) into (/ 1 (pow i 2)) 0.984 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 (- i)) 2)) into (pow i 2) 0.984 * [approximate]: Taking taylor expansion of (pow i 2) in (i) around 0 0.984 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.984 * [taylor]: Taking taylor expansion of i in i 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 1 into 1 0.984 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.984 * [taylor]: Taking taylor expansion of i in i 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 1 into 1 0.985 * [backup-simplify]: Simplify (* 1 1) into 1 0.985 * [backup-simplify]: Simplify 1 into 1 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.985 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.986 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- i)) 2)) into (/ 1 (pow i 2)) 0.988 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.988 * [backup-simplify]: Simplify (/ 1 (pow i 4)) into (/ 1 (pow i 4)) 0.988 * [approximate]: Taking taylor expansion of (/ 1 (pow i 4)) in (i) around 0 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.988 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.988 * [taylor]: Taking taylor expansion of i in i 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (* 1 1) into 1 0.989 * [backup-simplify]: Simplify (* 1 1) into 1 0.989 * [backup-simplify]: Simplify (/ 1 1) into 1 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.989 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.989 * [taylor]: Taking taylor expansion of i in i 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (* 1 1) into 1 0.990 * [backup-simplify]: Simplify (* 1 1) into 1 0.990 * [backup-simplify]: Simplify (/ 1 1) into 1 0.990 * [backup-simplify]: Simplify 1 into 1 0.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.994 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.996 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (* 1 (pow (/ 1 i) 4)) into (/ 1 (pow i 4)) 1.000 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 i) 4)) into (pow i 4) 1.000 * [approximate]: Taking taylor expansion of (pow i 4) in (i) around 0 1.000 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.000 * [taylor]: Taking taylor expansion of i in i 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 1 into 1 1.000 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.000 * [taylor]: Taking taylor expansion of i in i 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 1 into 1 1.000 * [backup-simplify]: Simplify (* 1 1) into 1 1.001 * [backup-simplify]: Simplify (* 1 1) into 1 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.001 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify (* 1 (pow (/ 1 i) 4)) into (/ 1 (pow i 4)) 1.008 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 (- i)) 4)) into (pow i 4) 1.008 * [approximate]: Taking taylor expansion of (pow i 4) in (i) around 0 1.008 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.008 * [taylor]: Taking taylor expansion of i in i 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 1 into 1 1.008 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.008 * [taylor]: Taking taylor expansion of i in i 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 1 into 1 1.008 * [backup-simplify]: Simplify (* 1 1) into 1 1.008 * [backup-simplify]: Simplify (* 1 1) into 1 1.008 * [backup-simplify]: Simplify 1 into 1 1.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.011 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- i)) 4)) into (/ 1 (pow i 4)) 1.015 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.015 * [backup-simplify]: Simplify (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) into (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 1.015 * [approximate]: Taking taylor expansion of (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) in (i) around 0 1.016 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) in i 1.016 * [taylor]: Taking taylor expansion of (* 0.00390625 (/ 1 (pow i 4))) in i 1.016 * [taylor]: Taking taylor expansion of 0.00390625 in i 1.016 * [backup-simplify]: Simplify 0.00390625 into 0.00390625 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 1.016 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.016 * [taylor]: Taking taylor expansion of i in i 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.016 * [backup-simplify]: Simplify (* 1 1) into 1 1.016 * [backup-simplify]: Simplify (* 1 1) into 1 1.016 * [backup-simplify]: Simplify (/ 1 1) into 1 1.016 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625) in i 1.016 * [taylor]: Taking taylor expansion of (* 0.015625 (/ 1 (pow i 2))) in i 1.016 * [taylor]: Taking taylor expansion of 0.015625 in i 1.016 * [backup-simplify]: Simplify 0.015625 into 0.015625 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.016 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.016 * [taylor]: Taking taylor expansion of i in i 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.017 * [backup-simplify]: Simplify (* 1 1) into 1 1.017 * [backup-simplify]: Simplify (/ 1 1) into 1 1.017 * [taylor]: Taking taylor expansion of 0.0625 in i 1.017 * [backup-simplify]: Simplify 0.0625 into 0.0625 1.017 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) in i 1.017 * [taylor]: Taking taylor expansion of (* 0.00390625 (/ 1 (pow i 4))) in i 1.017 * [taylor]: Taking taylor expansion of 0.00390625 in i 1.017 * [backup-simplify]: Simplify 0.00390625 into 0.00390625 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 1.017 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.017 * [taylor]: Taking taylor expansion of i in i 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 1 into 1 1.017 * [backup-simplify]: Simplify (* 1 1) into 1 1.018 * [backup-simplify]: Simplify (* 1 1) into 1 1.018 * [backup-simplify]: Simplify (/ 1 1) into 1 1.018 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625) in i 1.018 * [taylor]: Taking taylor expansion of (* 0.015625 (/ 1 (pow i 2))) in i 1.018 * [taylor]: Taking taylor expansion of 0.015625 in i 1.018 * [backup-simplify]: Simplify 0.015625 into 0.015625 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.018 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.018 * [taylor]: Taking taylor expansion of i in i 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [backup-simplify]: Simplify (* 1 1) into 1 1.018 * [backup-simplify]: Simplify (/ 1 1) into 1 1.018 * [taylor]: Taking taylor expansion of 0.0625 in i 1.018 * [backup-simplify]: Simplify 0.0625 into 0.0625 1.019 * [backup-simplify]: Simplify (* 0.00390625 1) into 0.00390625 1.019 * [backup-simplify]: Simplify (+ 0.00390625 0) into 0.00390625 1.019 * [backup-simplify]: Simplify 0.00390625 into 0.00390625 1.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.020 * [backup-simplify]: Simplify (+ (* 0.00390625 0) (* 0 1)) into 0 1.021 * [backup-simplify]: Simplify (+ 0 0) into 0 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.023 * [backup-simplify]: Simplify (+ (* 0.00390625 0) (+ (* 0 0) (* 0 1))) into 0 1.023 * [backup-simplify]: Simplify (* 0.015625 1) into 0.015625 1.023 * [backup-simplify]: Simplify (+ 0.015625 0) into 0.015625 1.023 * [backup-simplify]: Simplify (+ 0 0.015625) into 0.015625 1.023 * [backup-simplify]: Simplify 0.015625 into 0.015625 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.025 * [backup-simplify]: Simplify (+ (* 0.00390625 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.027 * [backup-simplify]: Simplify (+ (* 0.015625 0) (* 0 1)) into 0 1.027 * [backup-simplify]: Simplify (+ 0 0) into 0 1.027 * [backup-simplify]: Simplify (+ 0 0) into 0 1.027 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (+ (* 0.00390625 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.031 * [backup-simplify]: Simplify (+ (* 0.015625 0) (+ (* 0 0) (* 0 1))) into 0 1.031 * [backup-simplify]: Simplify (+ 0 0.0625) into 0.0625 1.031 * [backup-simplify]: Simplify (+ 0 0.0625) into 0.0625 1.031 * [backup-simplify]: Simplify 0.0625 into 0.0625 1.031 * [backup-simplify]: Simplify (+ 0.0625 (+ (* 0.015625 (pow (/ 1 i) 2)) (* 0.00390625 (pow (/ 1 i) 4)))) into (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 1.032 * [backup-simplify]: Simplify (+ (* 0.00390625 (/ 1 (pow (/ 1 i) 4))) (+ (* 0.015625 (/ 1 (pow (/ 1 i) 2))) 0.0625)) into (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) 1.032 * [approximate]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in (i) around 0 1.032 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in i 1.032 * [taylor]: Taking taylor expansion of (* 0.015625 (pow i 2)) in i 1.032 * [taylor]: Taking taylor expansion of 0.015625 in i 1.032 * [backup-simplify]: Simplify 0.015625 into 0.015625 1.032 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.032 * [taylor]: Taking taylor expansion of i in i 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.032 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (pow i 4)) 0.0625) in i 1.032 * [taylor]: Taking taylor expansion of (* 0.00390625 (pow i 4)) in i 1.032 * [taylor]: Taking taylor expansion of 0.00390625 in i 1.032 * [backup-simplify]: Simplify 0.00390625 into 0.00390625 1.032 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.032 * [taylor]: Taking taylor expansion of i in i 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.032 * [taylor]: Taking taylor expansion of 0.0625 in i 1.032 * [backup-simplify]: Simplify 0.0625 into 0.0625 1.032 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in i 1.032 * [taylor]: Taking taylor expansion of (* 0.015625 (pow i 2)) in i 1.032 * [taylor]: Taking taylor expansion of 0.015625 in i 1.032 * [backup-simplify]: Simplify 0.015625 into 0.015625 1.032 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.032 * [taylor]: Taking taylor expansion of i in i 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.032 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (pow i 4)) 0.0625) in i 1.032 * [taylor]: Taking taylor expansion of (* 0.00390625 (pow i 4)) in i 1.032 * [taylor]: Taking taylor expansion of 0.00390625 in i 1.032 * [backup-simplify]: Simplify 0.00390625 into 0.00390625 1.032 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.032 * [taylor]: Taking taylor expansion of i in i 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.032 * [taylor]: Taking taylor expansion of 0.0625 in i 1.032 * [backup-simplify]: Simplify 0.0625 into 0.0625 1.033 * [backup-simplify]: Simplify (+ 0 0.0625) into 0.0625 1.033 * [backup-simplify]: Simplify (+ 0 0.0625) into 0.0625 1.033 * [backup-simplify]: Simplify 0.0625 into 0.0625 1.033 * [backup-simplify]: Simplify (+ 0 0) into 0 1.033 * [backup-simplify]: Simplify (+ 0 0) into 0 1.033 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify (* 1 1) into 1 1.034 * [backup-simplify]: Simplify (* 0.015625 1) into 0.015625 1.034 * [backup-simplify]: Simplify (+ 0 0) into 0 1.034 * [backup-simplify]: Simplify (+ 0.015625 0) into 0.015625 1.034 * [backup-simplify]: Simplify 0.015625 into 0.015625 1.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.035 * [backup-simplify]: Simplify (+ (* 0.015625 0) (* 0 1)) into 0 1.035 * [backup-simplify]: Simplify (+ 0 0) into 0 1.036 * [backup-simplify]: Simplify (+ 0 0) into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.036 * [backup-simplify]: Simplify (+ (* 0.015625 0) (+ (* 0 0) (* 0 1))) into 0 1.037 * [backup-simplify]: Simplify (* 1 1) into 1 1.037 * [backup-simplify]: Simplify (* 1 1) into 1 1.037 * [backup-simplify]: Simplify (* 0.00390625 1) into 0.00390625 1.037 * [backup-simplify]: Simplify (+ 0.00390625 0) into 0.00390625 1.038 * [backup-simplify]: Simplify (+ 0 0.00390625) into 0.00390625 1.038 * [backup-simplify]: Simplify 0.00390625 into 0.00390625 1.038 * [backup-simplify]: Simplify (+ (* 0.00390625 (pow (/ 1 i) 4)) (+ (* 0.015625 (pow (/ 1 i) 2)) 0.0625)) into (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 1.038 * [backup-simplify]: Simplify (+ (* 0.00390625 (/ 1 (pow (/ 1 (- i)) 4))) (+ (* 0.015625 (/ 1 (pow (/ 1 (- i)) 2))) 0.0625)) into (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) 1.038 * [approximate]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in (i) around 0 1.038 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in i 1.038 * [taylor]: Taking taylor expansion of (* 0.015625 (pow i 2)) in i 1.038 * [taylor]: Taking taylor expansion of 0.015625 in i 1.038 * [backup-simplify]: Simplify 0.015625 into 0.015625 1.038 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.038 * [taylor]: Taking taylor expansion of i in i 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 1 into 1 1.038 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (pow i 4)) 0.0625) in i 1.038 * [taylor]: Taking taylor expansion of (* 0.00390625 (pow i 4)) in i 1.038 * [taylor]: Taking taylor expansion of 0.00390625 in i 1.038 * [backup-simplify]: Simplify 0.00390625 into 0.00390625 1.038 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.038 * [taylor]: Taking taylor expansion of i in i 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [taylor]: Taking taylor expansion of 0.0625 in i 1.039 * [backup-simplify]: Simplify 0.0625 into 0.0625 1.039 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in i 1.039 * [taylor]: Taking taylor expansion of (* 0.015625 (pow i 2)) in i 1.039 * [taylor]: Taking taylor expansion of 0.015625 in i 1.039 * [backup-simplify]: Simplify 0.015625 into 0.015625 1.039 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.039 * [taylor]: Taking taylor expansion of i in i 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (pow i 4)) 0.0625) in i 1.039 * [taylor]: Taking taylor expansion of (* 0.00390625 (pow i 4)) in i 1.039 * [taylor]: Taking taylor expansion of 0.00390625 in i 1.039 * [backup-simplify]: Simplify 0.00390625 into 0.00390625 1.039 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.039 * [taylor]: Taking taylor expansion of i in i 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [taylor]: Taking taylor expansion of 0.0625 in i 1.039 * [backup-simplify]: Simplify 0.0625 into 0.0625 1.039 * [backup-simplify]: Simplify (+ 0 0.0625) into 0.0625 1.039 * [backup-simplify]: Simplify (+ 0 0.0625) into 0.0625 1.039 * [backup-simplify]: Simplify 0.0625 into 0.0625 1.040 * [backup-simplify]: Simplify (+ 0 0) into 0 1.040 * [backup-simplify]: Simplify (+ 0 0) into 0 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify (* 1 1) into 1 1.040 * [backup-simplify]: Simplify (* 0.015625 1) into 0.015625 1.041 * [backup-simplify]: Simplify (+ 0 0) into 0 1.041 * [backup-simplify]: Simplify (+ 0.015625 0) into 0.015625 1.041 * [backup-simplify]: Simplify 0.015625 into 0.015625 1.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.042 * [backup-simplify]: Simplify (+ (* 0.015625 0) (* 0 1)) into 0 1.042 * [backup-simplify]: Simplify (+ 0 0) into 0 1.042 * [backup-simplify]: Simplify (+ 0 0) into 0 1.042 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.043 * [backup-simplify]: Simplify (+ (* 0.015625 0) (+ (* 0 0) (* 0 1))) into 0 1.043 * [backup-simplify]: Simplify (* 1 1) into 1 1.044 * [backup-simplify]: Simplify (* 1 1) into 1 1.044 * [backup-simplify]: Simplify (* 0.00390625 1) into 0.00390625 1.044 * [backup-simplify]: Simplify (+ 0.00390625 0) into 0.00390625 1.044 * [backup-simplify]: Simplify (+ 0 0.00390625) into 0.00390625 1.044 * [backup-simplify]: Simplify 0.00390625 into 0.00390625 1.045 * [backup-simplify]: Simplify (+ (* 0.00390625 (pow (/ 1 (- i)) 4)) (+ (* 0.015625 (pow (/ 1 (- i)) 2)) 0.0625)) into (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 1.045 * * * [progress]: simplifying candidates 1.047 * [simplify]: Simplifying: (- 2) (- (* (log i) 2)) (- (* (log i) 2)) (- (log (pow i 2))) (- 0 (* (log i) 2)) (- 0 (* (log i) 2)) (- 0 (log (pow i 2))) (- (log 1) (* (log i) 2)) (- (log 1) (* (log i) 2)) (- (log 1) (log (pow i 2))) (log (/ 1 (pow i 2))) (exp (/ 1 (pow i 2))) (/ (* (* 1 1) 1) (* (* (pow i 2) (pow i 2)) (pow i 2))) (* (cbrt (/ 1 (pow i 2))) (cbrt (/ 1 (pow i 2)))) (cbrt (/ 1 (pow i 2))) (* (* (/ 1 (pow i 2)) (/ 1 (pow i 2))) (/ 1 (pow i 2))) (sqrt (/ 1 (pow i 2))) (sqrt (/ 1 (pow i 2))) (- 1) (- (pow i 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt i) (cbrt i)) 2)) (/ (cbrt 1) (pow (cbrt i) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt i) 2)) (/ (cbrt 1) (pow (sqrt i) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow i 2)) (/ (* (cbrt 1) (cbrt 1)) i) (/ (cbrt 1) i) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ (cbrt 1) (cbrt (pow i 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow i 2))) (/ (cbrt 1) (sqrt (pow i 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow i 2)) (/ (* (cbrt 1) (cbrt 1)) (pow i (/ 2 2))) (/ (cbrt 1) (pow i (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt i) (cbrt i)) 2)) (/ (sqrt 1) (pow (cbrt i) 2)) (/ (sqrt 1) (pow (sqrt i) 2)) (/ (sqrt 1) (pow (sqrt i) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow i 2)) (/ (sqrt 1) i) (/ (sqrt 1) i) (/ (sqrt 1) (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ (sqrt 1) (cbrt (pow i 2))) (/ (sqrt 1) (sqrt (pow i 2))) (/ (sqrt 1) (sqrt (pow i 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow i 2)) (/ (sqrt 1) (pow i (/ 2 2))) (/ (sqrt 1) (pow i (/ 2 2))) (/ 1 (pow (* (cbrt i) (cbrt i)) 2)) (/ 1 (pow (cbrt i) 2)) (/ 1 (pow (sqrt i) 2)) (/ 1 (pow (sqrt i) 2)) (/ 1 (pow 1 2)) (/ 1 (pow i 2)) (/ 1 i) (/ 1 i) (/ 1 (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ 1 (cbrt (pow i 2))) (/ 1 (sqrt (pow i 2))) (/ 1 (sqrt (pow i 2))) (/ 1 1) (/ 1 (pow i 2)) (/ 1 (pow i (/ 2 2))) (/ 1 (pow i (/ 2 2))) (/ 1 (pow i 2)) (/ (pow i 2) 1) (/ 1 (pow (* (cbrt i) (cbrt i)) 2)) (/ 1 (pow (sqrt i) 2)) (/ 1 (pow 1 2)) (/ 1 i) (/ 1 (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ 1 (sqrt (pow i 2))) (/ 1 1) (/ 1 (pow i (/ 2 2))) (/ (pow i 2) (cbrt 1)) (/ (pow i 2) (sqrt 1)) (/ (pow i 2) 1) (- 4) (- (* (log i) 4)) (- (* (log i) 4)) (- (log (pow i 4))) (- 0 (* (log i) 4)) (- 0 (* (log i) 4)) (- 0 (log (pow i 4))) (- (log 1) (* (log i) 4)) (- (log 1) (* (log i) 4)) (- (log 1) (log (pow i 4))) (log (/ 1 (pow i 4))) (exp (/ 1 (pow i 4))) (/ (* (* 1 1) 1) (* (* (pow i 4) (pow i 4)) (pow i 4))) (* (cbrt (/ 1 (pow i 4))) (cbrt (/ 1 (pow i 4)))) (cbrt (/ 1 (pow i 4))) (* (* (/ 1 (pow i 4)) (/ 1 (pow i 4))) (/ 1 (pow i 4))) (sqrt (/ 1 (pow i 4))) (sqrt (/ 1 (pow i 4))) (- 1) (- (pow i 4)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt i) (cbrt i)) 4)) (/ (cbrt 1) (pow (cbrt i) 4)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt i) 4)) (/ (cbrt 1) (pow (sqrt i) 4)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 4)) (/ (cbrt 1) (pow i 4)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ (cbrt 1) (cbrt (pow i 4))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow i 4))) (/ (cbrt 1) (sqrt (pow i 4))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow i 4)) (/ (* (cbrt 1) (cbrt 1)) (pow i (/ 4 2))) (/ (cbrt 1) (pow i (/ 4 2))) (/ (sqrt 1) (pow (* (cbrt i) (cbrt i)) 4)) (/ (sqrt 1) (pow (cbrt i) 4)) (/ (sqrt 1) (pow (sqrt i) 4)) (/ (sqrt 1) (pow (sqrt i) 4)) (/ (sqrt 1) (pow 1 4)) (/ (sqrt 1) (pow i 4)) (/ (sqrt 1) (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ (sqrt 1) (cbrt (pow i 4))) (/ (sqrt 1) (sqrt (pow i 4))) (/ (sqrt 1) (sqrt (pow i 4))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow i 4)) (/ (sqrt 1) (pow i (/ 4 2))) (/ (sqrt 1) (pow i (/ 4 2))) (/ 1 (pow (* (cbrt i) (cbrt i)) 4)) (/ 1 (pow (cbrt i) 4)) (/ 1 (pow (sqrt i) 4)) (/ 1 (pow (sqrt i) 4)) (/ 1 (pow 1 4)) (/ 1 (pow i 4)) (/ 1 (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ 1 (cbrt (pow i 4))) (/ 1 (sqrt (pow i 4))) (/ 1 (sqrt (pow i 4))) (/ 1 1) (/ 1 (pow i 4)) (/ 1 (pow i (/ 4 2))) (/ 1 (pow i (/ 4 2))) (/ 1 (pow i 4)) (/ (pow i 4) 1) (/ 1 (pow (* (cbrt i) (cbrt i)) 4)) (/ 1 (pow (sqrt i) 4)) (/ 1 (pow 1 4)) (/ 1 (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ 1 (sqrt (pow i 4))) (/ 1 1) (/ 1 (pow i (/ 4 2))) (/ (pow i 4) (cbrt 1)) (/ (pow i 4) (sqrt 1)) (/ (pow i 4) 1) (* (exp (* 0.00390625 (/ 1 (pow i 4)))) (* (exp (* 0.015625 (/ 1 (pow i 2)))) (exp 0.0625))) (* (exp (* 0.00390625 (/ 1 (pow i 4)))) (exp (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (log (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (exp (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (* (cbrt (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (cbrt (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)))) (cbrt (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (* (* (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (sqrt (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (sqrt (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (+ (* 0.00390625 (+ (* (* 0.015625 (/ 1 (pow i 2))) (* 0.015625 (/ 1 (pow i 2)))) (- (* 0.0625 0.0625) (* (* 0.015625 (/ 1 (pow i 2))) 0.0625)))) (* (pow i 4) (+ (pow (* 0.015625 (/ 1 (pow i 2))) 3) (pow 0.0625 3)))) (* (pow i 4) (+ (* (* 0.015625 (/ 1 (pow i 2))) (* 0.015625 (/ 1 (pow i 2)))) (- (* 0.0625 0.0625) (* (* 0.015625 (/ 1 (pow i 2))) 0.0625)))) (+ (* 0.00390625 (- (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (* (pow i 4) (- (* (* 0.015625 (/ 1 (pow i 2))) (* 0.015625 (/ 1 (pow i 2)))) (* 0.0625 0.0625)))) (* (pow i 4) (- (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* (* 0.00390625 1) (+ (* (* 0.015625 (/ 1 (pow i 2))) (* 0.015625 (/ 1 (pow i 2)))) (- (* 0.0625 0.0625) (* (* 0.015625 (/ 1 (pow i 2))) 0.0625)))) (* (pow i 4) (+ (pow (* 0.015625 (/ 1 (pow i 2))) 3) (pow 0.0625 3)))) (* (pow i 4) (+ (* (* 0.015625 (/ 1 (pow i 2))) (* 0.015625 (/ 1 (pow i 2)))) (- (* 0.0625 0.0625) (* (* 0.015625 (/ 1 (pow i 2))) 0.0625)))) (+ (* (* 0.00390625 1) (- (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (* (pow i 4) (- (* (* 0.015625 (/ 1 (pow i 2))) (* 0.015625 (/ 1 (pow i 2)))) (* 0.0625 0.0625)))) (* (pow i 4) (- (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (pow (* 0.00390625 (/ 1 (pow i 4))) 3) (pow (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625) 3)) (+ (* (* 0.00390625 (/ 1 (pow i 4))) (* 0.00390625 (/ 1 (pow i 4)))) (- (* (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (* (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)))) (- (* (* 0.00390625 (/ 1 (pow i 4))) (* 0.00390625 (/ 1 (pow i 4)))) (* (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (- (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ 1 (pow i 4))) (* 0.015625 (/ 1 (pow i 2)))) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow i 4)) (/ 1 (pow i 4)) (/ 1 (pow i 4)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 1.047 * [simplify]: Sending expressions to egg_math: (- 2) (- (* (log h0) 2)) (- (* (log h0) 2)) (- (log (pow h0 2))) (- 0 (* (log h0) 2)) (- 0 (* (log h0) 2)) (- 0 (log (pow h0 2))) (- (log 1) (* (log h0) 2)) (- (log 1) (* (log h0) 2)) (- (log 1) (log (pow h0 2))) (log (/ 1 (pow h0 2))) (exp (/ 1 (pow h0 2))) (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (cbrt (/ 1 (pow h0 2))) (cbrt (/ 1 (pow h0 2)))) (cbrt (/ 1 (pow h0 2))) (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (- 1) (- (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (cbrt 1) (pow (cbrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt h0) 2)) (/ (cbrt 1) (pow (sqrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) h0) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (cbrt 1) (cbrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow h0 2))) (/ (cbrt 1) (sqrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow h0 (/ 2 2))) (/ (cbrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (sqrt 1) (pow (cbrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) h0) (/ (sqrt 1) h0) (/ (sqrt 1) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (sqrt 1) (cbrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (cbrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 (pow h0 2)) (/ 1 h0) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (cbrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 2)) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 2)) (/ (pow h0 2) 1) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 (/ 2 2))) (/ (pow h0 2) (cbrt 1)) (/ (pow h0 2) (sqrt 1)) (/ (pow h0 2) 1) (- 4) (- (* (log h0) 4)) (- (* (log h0) 4)) (- (log (pow h0 4))) (- 0 (* (log h0) 4)) (- 0 (* (log h0) 4)) (- 0 (log (pow h0 4))) (- (log 1) (* (log h0) 4)) (- (log 1) (* (log h0) 4)) (- (log 1) (log (pow h0 4))) (log (/ 1 (pow h0 4))) (exp (/ 1 (pow h0 4))) (/ (* (* 1 1) 1) (* (* (pow h0 4) (pow h0 4)) (pow h0 4))) (* (cbrt (/ 1 (pow h0 4))) (cbrt (/ 1 (pow h0 4)))) (cbrt (/ 1 (pow h0 4))) (* (* (/ 1 (pow h0 4)) (/ 1 (pow h0 4))) (/ 1 (pow h0 4))) (sqrt (/ 1 (pow h0 4))) (sqrt (/ 1 (pow h0 4))) (- 1) (- (pow h0 4)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt h0) (cbrt h0)) 4)) (/ (cbrt 1) (pow (cbrt h0) 4)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt h0) 4)) (/ (cbrt 1) (pow (sqrt h0) 4)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 4)) (/ (cbrt 1) (pow h0 4)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow h0 4)) (cbrt (pow h0 4)))) (/ (cbrt 1) (cbrt (pow h0 4))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow h0 4))) (/ (cbrt 1) (sqrt (pow h0 4))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow h0 4)) (/ (* (cbrt 1) (cbrt 1)) (pow h0 (/ 4 2))) (/ (cbrt 1) (pow h0 (/ 4 2))) (/ (sqrt 1) (pow (* (cbrt h0) (cbrt h0)) 4)) (/ (sqrt 1) (pow (cbrt h0) 4)) (/ (sqrt 1) (pow (sqrt h0) 4)) (/ (sqrt 1) (pow (sqrt h0) 4)) (/ (sqrt 1) (pow 1 4)) (/ (sqrt 1) (pow h0 4)) (/ (sqrt 1) (* (cbrt (pow h0 4)) (cbrt (pow h0 4)))) (/ (sqrt 1) (cbrt (pow h0 4))) (/ (sqrt 1) (sqrt (pow h0 4))) (/ (sqrt 1) (sqrt (pow h0 4))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow h0 4)) (/ (sqrt 1) (pow h0 (/ 4 2))) (/ (sqrt 1) (pow h0 (/ 4 2))) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 4)) (/ 1 (pow (cbrt h0) 4)) (/ 1 (pow (sqrt h0) 4)) (/ 1 (pow (sqrt h0) 4)) (/ 1 (pow 1 4)) (/ 1 (pow h0 4)) (/ 1 (* (cbrt (pow h0 4)) (cbrt (pow h0 4)))) (/ 1 (cbrt (pow h0 4))) (/ 1 (sqrt (pow h0 4))) (/ 1 (sqrt (pow h0 4))) (/ 1 1) (/ 1 (pow h0 4)) (/ 1 (pow h0 (/ 4 2))) (/ 1 (pow h0 (/ 4 2))) (/ 1 (pow h0 4)) (/ (pow h0 4) 1) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 4)) (/ 1 (pow (sqrt h0) 4)) (/ 1 (pow 1 4)) (/ 1 (* (cbrt (pow h0 4)) (cbrt (pow h0 4)))) (/ 1 (sqrt (pow h0 4))) (/ 1 1) (/ 1 (pow h0 (/ 4 2))) (/ (pow h0 4) (cbrt 1)) (/ (pow h0 4) (sqrt 1)) (/ (pow h0 4) 1) (* (exp (* h1 (/ 1 (pow h0 4)))) (* (exp (* h2 (/ 1 (pow h0 2)))) (exp h3))) (* (exp (* h1 (/ 1 (pow h0 4)))) (exp (+ (* h2 (/ 1 (pow h0 2))) h3))) (log (+ (* h1 (/ 1 (pow h0 4))) (+ (* h2 (/ 1 (pow h0 2))) h3))) (exp (+ (* h1 (/ 1 (pow h0 4))) (+ (* h2 (/ 1 (pow h0 2))) h3))) (* (cbrt (+ (* h1 (/ 1 (pow h0 4))) (+ (* h2 (/ 1 (pow h0 2))) h3))) (cbrt (+ (* h1 (/ 1 (pow h0 4))) (+ (* h2 (/ 1 (pow h0 2))) h3)))) (cbrt (+ (* h1 (/ 1 (pow h0 4))) (+ (* h2 (/ 1 (pow h0 2))) h3))) (* (* (+ (* h1 (/ 1 (pow h0 4))) (+ (* h2 (/ 1 (pow h0 2))) h3)) (+ (* h1 (/ 1 (pow h0 4))) (+ (* h2 (/ 1 (pow h0 2))) h3))) (+ (* h1 (/ 1 (pow h0 4))) (+ (* h2 (/ 1 (pow h0 2))) h3))) (sqrt (+ (* h1 (/ 1 (pow h0 4))) (+ (* h2 (/ 1 (pow h0 2))) h3))) (sqrt (+ (* h1 (/ 1 (pow h0 4))) (+ (* h2 (/ 1 (pow h0 2))) h3))) (+ (* h1 (+ (* (* h2 (/ 1 (pow h0 2))) (* h2 (/ 1 (pow h0 2)))) (- (* h3 h3) (* (* h2 (/ 1 (pow h0 2))) h3)))) (* (pow h0 4) (+ (pow (* h2 (/ 1 (pow h0 2))) 3) (pow h3 3)))) (* (pow h0 4) (+ (* (* h2 (/ 1 (pow h0 2))) (* h2 (/ 1 (pow h0 2)))) (- (* h3 h3) (* (* h2 (/ 1 (pow h0 2))) h3)))) (+ (* h1 (- (* h2 (/ 1 (pow h0 2))) h3)) (* (pow h0 4) (- (* (* h2 (/ 1 (pow h0 2))) (* h2 (/ 1 (pow h0 2)))) (* h3 h3)))) (* (pow h0 4) (- (* h2 (/ 1 (pow h0 2))) h3)) (+ (* (* h1 1) (+ (* (* h2 (/ 1 (pow h0 2))) (* h2 (/ 1 (pow h0 2)))) (- (* h3 h3) (* (* h2 (/ 1 (pow h0 2))) h3)))) (* (pow h0 4) (+ (pow (* h2 (/ 1 (pow h0 2))) 3) (pow h3 3)))) (* (pow h0 4) (+ (* (* h2 (/ 1 (pow h0 2))) (* h2 (/ 1 (pow h0 2)))) (- (* h3 h3) (* (* h2 (/ 1 (pow h0 2))) h3)))) (+ (* (* h1 1) (- (* h2 (/ 1 (pow h0 2))) h3)) (* (pow h0 4) (- (* (* h2 (/ 1 (pow h0 2))) (* h2 (/ 1 (pow h0 2)))) (* h3 h3)))) (* (pow h0 4) (- (* h2 (/ 1 (pow h0 2))) h3)) (+ (pow (* h1 (/ 1 (pow h0 4))) 3) (pow (+ (* h2 (/ 1 (pow h0 2))) h3) 3)) (+ (* (* h1 (/ 1 (pow h0 4))) (* h1 (/ 1 (pow h0 4)))) (- (* (+ (* h2 (/ 1 (pow h0 2))) h3) (+ (* h2 (/ 1 (pow h0 2))) h3)) (* (* h1 (/ 1 (pow h0 4))) (+ (* h2 (/ 1 (pow h0 2))) h3)))) (- (* (* h1 (/ 1 (pow h0 4))) (* h1 (/ 1 (pow h0 4)))) (* (+ (* h2 (/ 1 (pow h0 2))) h3) (+ (* h2 (/ 1 (pow h0 2))) h3))) (- (* h1 (/ 1 (pow h0 4))) (+ (* h2 (/ 1 (pow h0 2))) h3)) (+ (* h1 (/ 1 (pow h0 4))) (* h2 (/ 1 (pow h0 2)))) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ 1 (pow h0 4)) (/ 1 (pow h0 4)) (/ 1 (pow h0 4)) (+ (* h1 (/ 1 (pow h0 4))) (+ (* h2 (/ 1 (pow h0 2))) h3)) (+ (* h1 (/ 1 (pow h0 4))) (+ (* h2 (/ 1 (pow h0 2))) h3)) (+ (* h1 (/ 1 (pow h0 4))) (+ (* h2 (/ 1 (pow h0 2))) h3)) 1.053 * * [simplify]: iteration 0 : 474 enodes (cost 821 ) 1.061 * * [simplify]: iteration 1 : 2042 enodes (cost 726 ) 1.097 * * [simplify]: iteration 2 : 5001 enodes (cost 650 ) 1.101 * * * [progress]: adding candidates to table 1.278 * [progress]: [Phase 3 of 3] Extracting. 1.278 * * [regime]: Finding splitpoints for: (# # #) 1.278 * * * [regime-changes]: Trying 1 branch expressions: (i) 1.278 * * * * [regimes]: Trying to branch on i from (# # #) 1.294 * * * [regime]: Found split indices: #