56.013 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.115 * * * [progress]: [2/2] Setting up program. 0.118 * [progress]: [Phase 2 of 3] Improving. 0.118 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.119 * [simplify]: Simplifying: (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 0.119 * * [simplify]: iteration 1: (16 enodes) 0.122 * * [simplify]: iteration 2: (32 enodes) 0.130 * * [simplify]: iteration 3: (87 enodes) 0.166 * * [simplify]: iteration 4: (188 enodes) 0.248 * * [simplify]: iteration 5: (551 enodes) 0.743 * * [simplify]: iteration 6: (1446 enodes) 1.950 * * [simplify]: Extracting #0: cost 1 inf + 0 1.950 * * [simplify]: Extracting #1: cost 5 inf + 0 1.950 * * [simplify]: Extracting #2: cost 25 inf + 1 1.951 * * [simplify]: Extracting #3: cost 91 inf + 5 1.953 * * [simplify]: Extracting #4: cost 117 inf + 751 1.961 * * [simplify]: Extracting #5: cost 38 inf + 16228 1.979 * * [simplify]: Extracting #6: cost 1 inf + 25624 1.998 * * [simplify]: Extracting #7: cost 0 inf + 25828 2.016 * [simplify]: Simplified to: (/ (/ 4/3 (- PI (* v (* PI v)))) (sqrt (- 2 (* 6 (* v v))))) 2.029 * * [progress]: iteration 1 / 4 2.029 * * * [progress]: picking best candidate 2.039 * * * * [pick]: Picked # 2.039 * * * [progress]: localizing error 2.074 * * * [progress]: generating rewritten candidates 2.074 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.081 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 2) 2.087 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.100 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 2.113 * * * [progress]: generating series expansions 2.113 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.114 * [backup-simplify]: Simplify (/ 4/3 (- PI (* v (* PI v)))) into (/ 4/3 (- PI (* (pow v 2) PI))) 2.114 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in (v) around 0 2.114 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in v 2.114 * [taylor]: Taking taylor expansion of 4/3 in v 2.114 * [backup-simplify]: Simplify 4/3 into 4/3 2.114 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 2.114 * [taylor]: Taking taylor expansion of PI in v 2.114 * [backup-simplify]: Simplify PI into PI 2.114 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 2.114 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.114 * [taylor]: Taking taylor expansion of v in v 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [taylor]: Taking taylor expansion of PI in v 2.114 * [backup-simplify]: Simplify PI into PI 2.114 * [backup-simplify]: Simplify (+ PI 0) into PI 2.115 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 2.115 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in v 2.115 * [taylor]: Taking taylor expansion of 4/3 in v 2.115 * [backup-simplify]: Simplify 4/3 into 4/3 2.115 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 2.115 * [taylor]: Taking taylor expansion of PI in v 2.115 * [backup-simplify]: Simplify PI into PI 2.115 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 2.115 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.115 * [taylor]: Taking taylor expansion of v in v 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 1 into 1 2.115 * [taylor]: Taking taylor expansion of PI in v 2.115 * [backup-simplify]: Simplify PI into PI 2.115 * [backup-simplify]: Simplify (+ PI 0) into PI 2.116 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 2.116 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 2.116 * [backup-simplify]: Simplify (+ 0 0) into 0 2.117 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (* 1 1) into 1 2.117 * [backup-simplify]: Simplify (* 1 PI) into PI 2.118 * [backup-simplify]: Simplify (- PI) into (- PI) 2.118 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.122 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) 2.126 * [backup-simplify]: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 2.128 * [backup-simplify]: Simplify (- 0) into 0 2.128 * [backup-simplify]: Simplify (+ 0 0) into 0 2.129 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (* 4/3 (/ 1 PI)) (/ 0 PI)))) into 0 2.129 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 2.131 * [backup-simplify]: Simplify (- 0) into 0 2.131 * [backup-simplify]: Simplify (+ 0 0) into 0 2.142 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (* 4/3 (/ 1 PI)) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) 2.144 * [backup-simplify]: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) 2.146 * [backup-simplify]: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) 2.146 * [backup-simplify]: Simplify (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))) into (/ 4/3 (- PI (/ PI (pow v 2)))) 2.146 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in (v) around 0 2.146 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 2.146 * [taylor]: Taking taylor expansion of 4/3 in v 2.146 * [backup-simplify]: Simplify 4/3 into 4/3 2.146 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 2.146 * [taylor]: Taking taylor expansion of PI in v 2.146 * [backup-simplify]: Simplify PI into PI 2.146 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.146 * [taylor]: Taking taylor expansion of PI in v 2.147 * [backup-simplify]: Simplify PI into PI 2.147 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.147 * [taylor]: Taking taylor expansion of v in v 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (* 1 1) into 1 2.148 * [backup-simplify]: Simplify (/ PI 1) into PI 2.148 * [backup-simplify]: Simplify (- PI) into (- PI) 2.149 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.150 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 2.150 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 2.150 * [taylor]: Taking taylor expansion of 4/3 in v 2.150 * [backup-simplify]: Simplify 4/3 into 4/3 2.150 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 2.150 * [taylor]: Taking taylor expansion of PI in v 2.150 * [backup-simplify]: Simplify PI into PI 2.150 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.150 * [taylor]: Taking taylor expansion of PI in v 2.150 * [backup-simplify]: Simplify PI into PI 2.150 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.150 * [taylor]: Taking taylor expansion of v in v 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.151 * [backup-simplify]: Simplify (* 1 1) into 1 2.151 * [backup-simplify]: Simplify (/ PI 1) into PI 2.152 * [backup-simplify]: Simplify (- PI) into (- PI) 2.152 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.153 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 2.154 * [backup-simplify]: Simplify (/ -4/3 PI) into (/ -4/3 PI) 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (- 0) into 0 2.156 * [backup-simplify]: Simplify (+ 0 0) into 0 2.157 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.160 * [backup-simplify]: Simplify (- 0) into 0 2.160 * [backup-simplify]: Simplify (+ PI 0) into PI 2.166 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 2.168 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 2.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.171 * [backup-simplify]: Simplify (- 0) into 0 2.171 * [backup-simplify]: Simplify (+ 0 0) into 0 2.174 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 2.174 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify (- 0) into 0 2.177 * [backup-simplify]: Simplify (+ 0 0) into 0 2.189 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 2.192 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 2.196 * [backup-simplify]: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) 2.197 * [backup-simplify]: Simplify (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) into (/ 4/3 (- PI (/ PI (pow v 2)))) 2.197 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in (v) around 0 2.197 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 2.197 * [taylor]: Taking taylor expansion of 4/3 in v 2.197 * [backup-simplify]: Simplify 4/3 into 4/3 2.197 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 2.197 * [taylor]: Taking taylor expansion of PI in v 2.197 * [backup-simplify]: Simplify PI into PI 2.197 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.197 * [taylor]: Taking taylor expansion of PI in v 2.197 * [backup-simplify]: Simplify PI into PI 2.197 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.197 * [taylor]: Taking taylor expansion of v in v 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify 1 into 1 2.197 * [backup-simplify]: Simplify (* 1 1) into 1 2.198 * [backup-simplify]: Simplify (/ PI 1) into PI 2.198 * [backup-simplify]: Simplify (- PI) into (- PI) 2.199 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.200 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 2.200 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 2.200 * [taylor]: Taking taylor expansion of 4/3 in v 2.200 * [backup-simplify]: Simplify 4/3 into 4/3 2.200 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 2.200 * [taylor]: Taking taylor expansion of PI in v 2.200 * [backup-simplify]: Simplify PI into PI 2.200 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.200 * [taylor]: Taking taylor expansion of PI in v 2.201 * [backup-simplify]: Simplify PI into PI 2.201 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.201 * [taylor]: Taking taylor expansion of v in v 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 1 into 1 2.201 * [backup-simplify]: Simplify (* 1 1) into 1 2.201 * [backup-simplify]: Simplify (/ PI 1) into PI 2.202 * [backup-simplify]: Simplify (- PI) into (- PI) 2.203 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.203 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 2.204 * [backup-simplify]: Simplify (/ -4/3 PI) into (/ -4/3 PI) 2.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.205 * [backup-simplify]: Simplify (- 0) into 0 2.205 * [backup-simplify]: Simplify (+ 0 0) into 0 2.206 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 2.206 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.208 * [backup-simplify]: Simplify (- 0) into 0 2.208 * [backup-simplify]: Simplify (+ PI 0) into PI 2.212 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 2.213 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 2.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.215 * [backup-simplify]: Simplify (- 0) into 0 2.215 * [backup-simplify]: Simplify (+ 0 0) into 0 2.217 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 2.217 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.219 * [backup-simplify]: Simplify (- 0) into 0 2.219 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 2.228 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 2.230 * [backup-simplify]: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) 2.231 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 2) 2.231 * [backup-simplify]: Simplify (* PI v) into (* v PI) 2.231 * [approximate]: Taking taylor expansion of (* v PI) in (v) around 0 2.231 * [taylor]: Taking taylor expansion of (* v PI) in v 2.231 * [taylor]: Taking taylor expansion of v in v 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [taylor]: Taking taylor expansion of PI in v 2.231 * [backup-simplify]: Simplify PI into PI 2.231 * [taylor]: Taking taylor expansion of (* v PI) in v 2.231 * [taylor]: Taking taylor expansion of v in v 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [taylor]: Taking taylor expansion of PI in v 2.231 * [backup-simplify]: Simplify PI into PI 2.231 * [backup-simplify]: Simplify (* 0 PI) into 0 2.231 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.232 * [backup-simplify]: Simplify PI into PI 2.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.236 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify (* PI v) into (* v PI) 2.237 * [backup-simplify]: Simplify (* PI (/ 1 v)) into (/ PI v) 2.237 * [approximate]: Taking taylor expansion of (/ PI v) in (v) around 0 2.238 * [taylor]: Taking taylor expansion of (/ PI v) in v 2.238 * [taylor]: Taking taylor expansion of PI in v 2.238 * [backup-simplify]: Simplify PI into PI 2.238 * [taylor]: Taking taylor expansion of v in v 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 1 into 1 2.238 * [backup-simplify]: Simplify (/ PI 1) into PI 2.238 * [taylor]: Taking taylor expansion of (/ PI v) in v 2.238 * [taylor]: Taking taylor expansion of PI in v 2.238 * [backup-simplify]: Simplify PI into PI 2.238 * [taylor]: Taking taylor expansion of v in v 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 1 into 1 2.238 * [backup-simplify]: Simplify (/ PI 1) into PI 2.238 * [backup-simplify]: Simplify PI into PI 2.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify (* PI (/ 1 (/ 1 v))) into (* v PI) 2.242 * [backup-simplify]: Simplify (* PI (/ 1 (- v))) into (* -1 (/ PI v)) 2.242 * [approximate]: Taking taylor expansion of (* -1 (/ PI v)) in (v) around 0 2.242 * [taylor]: Taking taylor expansion of (* -1 (/ PI v)) in v 2.243 * [taylor]: Taking taylor expansion of -1 in v 2.243 * [backup-simplify]: Simplify -1 into -1 2.243 * [taylor]: Taking taylor expansion of (/ PI v) in v 2.243 * [taylor]: Taking taylor expansion of PI in v 2.243 * [backup-simplify]: Simplify PI into PI 2.243 * [taylor]: Taking taylor expansion of v in v 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [backup-simplify]: Simplify (/ PI 1) into PI 2.243 * [taylor]: Taking taylor expansion of (* -1 (/ PI v)) in v 2.243 * [taylor]: Taking taylor expansion of -1 in v 2.243 * [backup-simplify]: Simplify -1 into -1 2.243 * [taylor]: Taking taylor expansion of (/ PI v) in v 2.243 * [taylor]: Taking taylor expansion of PI in v 2.243 * [backup-simplify]: Simplify PI into PI 2.243 * [taylor]: Taking taylor expansion of v in v 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.248 * [backup-simplify]: Simplify (/ PI 1) into PI 2.249 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 2.249 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 2.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.250 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.251 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.253 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.253 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.254 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.254 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.256 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.256 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify (* (* -1 PI) (/ 1 (/ 1 (- v)))) into (* v PI) 2.258 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 2.258 * [backup-simplify]: Simplify (* 6 (* v v)) into (* 6 (pow v 2)) 2.258 * [approximate]: Taking taylor expansion of (* 6 (pow v 2)) in (v) around 0 2.258 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 2.258 * [taylor]: Taking taylor expansion of 6 in v 2.258 * [backup-simplify]: Simplify 6 into 6 2.258 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.258 * [taylor]: Taking taylor expansion of v in v 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 1 into 1 2.258 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 2.258 * [taylor]: Taking taylor expansion of 6 in v 2.258 * [backup-simplify]: Simplify 6 into 6 2.258 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.258 * [taylor]: Taking taylor expansion of v in v 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 1 into 1 2.259 * [backup-simplify]: Simplify (* 1 1) into 1 2.259 * [backup-simplify]: Simplify (* 6 1) into 6 2.259 * [backup-simplify]: Simplify 6 into 6 2.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.260 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 2.260 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.261 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 2.261 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.262 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.262 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.265 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.265 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.268 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.271 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) 2.272 * [backup-simplify]: Simplify (* 6 (* (/ 1 v) (/ 1 v))) into (/ 6 (pow v 2)) 2.272 * [approximate]: Taking taylor expansion of (/ 6 (pow v 2)) in (v) around 0 2.272 * [taylor]: Taking taylor expansion of (/ 6 (pow v 2)) in v 2.272 * [taylor]: Taking taylor expansion of 6 in v 2.272 * [backup-simplify]: Simplify 6 into 6 2.272 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.272 * [taylor]: Taking taylor expansion of v in v 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.272 * [backup-simplify]: Simplify (* 1 1) into 1 2.273 * [backup-simplify]: Simplify (/ 6 1) into 6 2.273 * [taylor]: Taking taylor expansion of (/ 6 (pow v 2)) in v 2.273 * [taylor]: Taking taylor expansion of 6 in v 2.273 * [backup-simplify]: Simplify 6 into 6 2.273 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.273 * [taylor]: Taking taylor expansion of v in v 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (* 1 1) into 1 2.274 * [backup-simplify]: Simplify (/ 6 1) into 6 2.274 * [backup-simplify]: Simplify 6 into 6 2.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)))) into 0 2.276 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.278 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.282 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.285 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.288 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify (* 6 (pow (/ 1 (/ 1 v)) 2)) into (* 6 (pow v 2)) 2.289 * [backup-simplify]: Simplify (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) into (/ 6 (pow v 2)) 2.289 * [approximate]: Taking taylor expansion of (/ 6 (pow v 2)) in (v) around 0 2.289 * [taylor]: Taking taylor expansion of (/ 6 (pow v 2)) in v 2.289 * [taylor]: Taking taylor expansion of 6 in v 2.289 * [backup-simplify]: Simplify 6 into 6 2.289 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.289 * [taylor]: Taking taylor expansion of v in v 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 1 into 1 2.289 * [backup-simplify]: Simplify (* 1 1) into 1 2.290 * [backup-simplify]: Simplify (/ 6 1) into 6 2.290 * [taylor]: Taking taylor expansion of (/ 6 (pow v 2)) in v 2.290 * [taylor]: Taking taylor expansion of 6 in v 2.290 * [backup-simplify]: Simplify 6 into 6 2.290 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.290 * [taylor]: Taking taylor expansion of v in v 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 1 into 1 2.290 * [backup-simplify]: Simplify (* 1 1) into 1 2.291 * [backup-simplify]: Simplify (/ 6 1) into 6 2.291 * [backup-simplify]: Simplify 6 into 6 2.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)))) into 0 2.293 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.295 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.297 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (* 6 (pow (/ 1 (/ 1 (- v))) 2)) into (* 6 (pow v 2)) 2.306 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 2.306 * [backup-simplify]: Simplify (* v (* PI v)) into (* (pow v 2) PI) 2.306 * [approximate]: Taking taylor expansion of (* (pow v 2) PI) in (v) around 0 2.306 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 2.306 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.306 * [taylor]: Taking taylor expansion of v in v 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [taylor]: Taking taylor expansion of PI in v 2.306 * [backup-simplify]: Simplify PI into PI 2.306 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 2.306 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.306 * [taylor]: Taking taylor expansion of v in v 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [taylor]: Taking taylor expansion of PI in v 2.306 * [backup-simplify]: Simplify PI into PI 2.307 * [backup-simplify]: Simplify (* 1 1) into 1 2.307 * [backup-simplify]: Simplify (* 1 PI) into PI 2.307 * [backup-simplify]: Simplify PI into PI 2.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 2.309 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 2.311 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.313 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.316 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify (* PI (pow v 2)) into (* (pow v 2) PI) 2.323 * [backup-simplify]: Simplify (* (/ 1 v) (* PI (/ 1 v))) into (/ PI (pow v 2)) 2.324 * [approximate]: Taking taylor expansion of (/ PI (pow v 2)) in (v) around 0 2.324 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.324 * [taylor]: Taking taylor expansion of PI in v 2.324 * [backup-simplify]: Simplify PI into PI 2.324 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.324 * [taylor]: Taking taylor expansion of v in v 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 1 into 1 2.324 * [backup-simplify]: Simplify (* 1 1) into 1 2.325 * [backup-simplify]: Simplify (/ PI 1) into PI 2.325 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.325 * [taylor]: Taking taylor expansion of PI in v 2.325 * [backup-simplify]: Simplify PI into PI 2.325 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.325 * [taylor]: Taking taylor expansion of v in v 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 1 into 1 2.325 * [backup-simplify]: Simplify (* 1 1) into 1 2.326 * [backup-simplify]: Simplify (/ PI 1) into PI 2.326 * [backup-simplify]: Simplify PI into PI 2.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.328 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.330 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.332 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.335 * [backup-simplify]: Simplify 0 into 0 2.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify (* PI (pow (/ 1 (/ 1 v)) 2)) into (* (pow v 2) PI) 2.340 * [backup-simplify]: Simplify (* (/ 1 (- v)) (* PI (/ 1 (- v)))) into (/ PI (pow v 2)) 2.340 * [approximate]: Taking taylor expansion of (/ PI (pow v 2)) in (v) around 0 2.340 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.340 * [taylor]: Taking taylor expansion of PI in v 2.340 * [backup-simplify]: Simplify PI into PI 2.340 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.340 * [taylor]: Taking taylor expansion of v in v 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 1 into 1 2.341 * [backup-simplify]: Simplify (* 1 1) into 1 2.341 * [backup-simplify]: Simplify (/ PI 1) into PI 2.341 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.341 * [taylor]: Taking taylor expansion of PI in v 2.341 * [backup-simplify]: Simplify PI into PI 2.341 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.341 * [taylor]: Taking taylor expansion of v in v 2.341 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.342 * [backup-simplify]: Simplify (* 1 1) into 1 2.342 * [backup-simplify]: Simplify (/ PI 1) into PI 2.342 * [backup-simplify]: Simplify PI into PI 2.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.348 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify (* PI (pow (/ 1 (/ 1 (- v))) 2)) into (* (pow v 2) PI) 2.356 * * * [progress]: simplifying candidates 2.356 * * * * [progress]: [ 1 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 2 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 3 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 4 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 5 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 6 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 7 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 8 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 9 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 10 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 11 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 12 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 13 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 14 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 15 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 16 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 17 / 100 ] simplifiying candidate # 2.356 * * * * [progress]: [ 18 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 19 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 20 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 21 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 22 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 23 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 24 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 25 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 26 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 27 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 28 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 29 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 30 / 100 ] simplifiying candidate #real (real->posit16 (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (- 2 (* 6 (* v v))))))> 2.357 * * * * [progress]: [ 31 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 32 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 33 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 34 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 35 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 36 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 37 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 38 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 39 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 40 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 41 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 42 / 100 ] simplifiying candidate # 2.357 * * * * [progress]: [ 43 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 44 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 45 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 46 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 47 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 48 / 100 ] simplifiying candidate #real (real->posit16 (* PI v)))))) (sqrt (- 2 (* 6 (* v v))))))> 2.358 * * * * [progress]: [ 49 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 50 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 51 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 52 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 53 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 54 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 55 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 56 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 57 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 58 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 59 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 60 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 61 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 62 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 63 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 64 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 65 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 66 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 67 / 100 ] simplifiying candidate # 2.358 * * * * [progress]: [ 68 / 100 ] simplifiying candidate #real (real->posit16 (* 6 (* v v))))))))> 2.359 * * * * [progress]: [ 69 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 70 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 71 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 72 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 73 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 74 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 75 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 76 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 77 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 78 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 79 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 80 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 81 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 82 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 83 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 84 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 85 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 86 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 87 / 100 ] simplifiying candidate #real (real->posit16 (* v (* PI v)))))) (sqrt (- 2 (* 6 (* v v))))))> 2.359 * * * * [progress]: [ 88 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 89 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 90 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 91 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 92 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 93 / 100 ] simplifiying candidate # 2.359 * * * * [progress]: [ 94 / 100 ] simplifiying candidate # 2.360 * * * * [progress]: [ 95 / 100 ] simplifiying candidate # 2.360 * * * * [progress]: [ 96 / 100 ] simplifiying candidate # 2.360 * * * * [progress]: [ 97 / 100 ] simplifiying candidate # 2.360 * * * * [progress]: [ 98 / 100 ] simplifiying candidate # 2.360 * * * * [progress]: [ 99 / 100 ] simplifiying candidate # 2.360 * * * * [progress]: [ 100 / 100 ] simplifiying candidate # 2.360 * [simplify]: Simplifying: (- (log 4/3) (log (- PI (* v (* PI v))))) (log (/ 4/3 (- PI (* v (* PI v))))) (exp (/ 4/3 (- PI (* v (* PI v))))) (/ (* (* 4/3 4/3) 4/3) (* (* (- PI (* v (* PI v))) (- PI (* v (* PI v)))) (- PI (* v (* PI v))))) (* (cbrt (/ 4/3 (- PI (* v (* PI v))))) (cbrt (/ 4/3 (- PI (* v (* PI v)))))) (cbrt (/ 4/3 (- PI (* v (* PI v))))) (* (* (/ 4/3 (- PI (* v (* PI v)))) (/ 4/3 (- PI (* v (* PI v))))) (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v))))) (- 4/3) (- (- PI (* v (* PI v)))) (/ (* (cbrt 4/3) (cbrt 4/3)) (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) (/ (cbrt 4/3) (cbrt (- PI (* v (* PI v))))) (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (- PI (* v (* PI v))))) (/ (cbrt 4/3) (sqrt (- PI (* v (* PI v))))) (/ (* (cbrt 4/3) (cbrt 4/3)) 1) (/ (cbrt 4/3) (- PI (* v (* PI v)))) (/ (sqrt 4/3) (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) (/ (sqrt 4/3) (cbrt (- PI (* v (* PI v))))) (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))) (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))) (/ (sqrt 4/3) 1) (/ (sqrt 4/3) (- PI (* v (* PI v)))) (/ 1 (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) (/ 4/3 (cbrt (- PI (* v (* PI v))))) (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (sqrt (- PI (* v (* PI v))))) (/ 1 1) (/ 4/3 (- PI (* v (* PI v)))) (/ 1 (- PI (* v (* PI v)))) (/ (- PI (* v (* PI v))) 4/3) (/ 4/3 (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) (/ 4/3 (sqrt (- PI (* v (* PI v))))) (/ 4/3 1) (/ (- PI (* v (* PI v))) (cbrt 4/3)) (/ (- PI (* v (* PI v))) (sqrt 4/3)) (/ (- PI (* v (* PI v))) 4/3) (/ 4/3 (- (pow PI 3) (pow (* v (* PI v)) 3))) (/ 4/3 (- (* PI PI) (* (* v (* PI v)) (* v (* PI v))))) (real->posit16 (/ 4/3 (- PI (* v (* PI v))))) (* PI v) (+ (log PI) (log v)) (log (* PI v)) (exp (* PI v)) (* (* (* PI PI) PI) (* (* v v) v)) (* (cbrt (* PI v)) (cbrt (* PI v))) (cbrt (* PI v)) (* (* (* PI v) (* PI v)) (* PI v)) (sqrt (* PI v)) (sqrt (* PI v)) (* (sqrt PI) (sqrt v)) (* (sqrt PI) (sqrt v)) (* PI (* (cbrt v) (cbrt v))) (* PI (sqrt v)) (* PI 1) (* (cbrt PI) v) (* (sqrt PI) v) (* PI v) (real->posit16 (* PI v)) (* 6 (* v v)) (* 6 (* v v)) (+ (log 6) (+ (log v) (log v))) (+ (log 6) (log (* v v))) (log (* 6 (* v v))) (exp (* 6 (* v v))) (* (* (* 6 6) 6) (* (* (* v v) v) (* (* v v) v))) (* (* (* 6 6) 6) (* (* (* v v) (* v v)) (* v v))) (* (cbrt (* 6 (* v v))) (cbrt (* 6 (* v v)))) (cbrt (* 6 (* v v))) (* (* (* 6 (* v v)) (* 6 (* v v))) (* 6 (* v v))) (sqrt (* 6 (* v v))) (sqrt (* 6 (* v v))) (* (sqrt 6) v) (* (sqrt 6) v) (* 6 v) (* (cbrt 6) (* v v)) (* (sqrt 6) (* v v)) (* 6 (* v v)) (real->posit16 (* 6 (* v v))) (* v (* PI v)) (* v (* PI v)) (+ (log v) (+ (log PI) (log v))) (+ (log v) (log (* PI v))) (log (* v (* PI v))) (exp (* v (* PI v))) (* (* (* v v) v) (* (* (* PI PI) PI) (* (* v v) v))) (* (* (* v v) v) (* (* (* PI v) (* PI v)) (* PI v))) (* (cbrt (* v (* PI v))) (cbrt (* v (* PI v)))) (cbrt (* v (* PI v))) (* (* (* v (* PI v)) (* v (* PI v))) (* v (* PI v))) (sqrt (* v (* PI v))) (sqrt (* v (* PI v))) (* v PI) (* (cbrt v) (* PI v)) (* (sqrt v) (* PI v)) (* v (* PI v)) (real->posit16 (* v (* PI v))) (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) (* v PI) (* v PI) (* v PI) (* 6 (pow v 2)) (* 6 (pow v 2)) (* 6 (pow v 2)) (* (pow v 2) PI) (* (pow v 2) PI) (* (pow v 2) PI) 2.362 * * [simplify]: iteration 1: (157 enodes) 2.414 * * [simplify]: iteration 2: (375 enodes) 2.587 * * [simplify]: iteration 3: (1019 enodes) 4.267 * * [simplify]: Extracting #0: cost 72 inf + 0 4.269 * * [simplify]: Extracting #1: cost 338 inf + 4 4.276 * * [simplify]: Extracting #2: cost 500 inf + 10688 4.301 * * [simplify]: Extracting #3: cost 299 inf + 57268 4.337 * * [simplify]: Extracting #4: cost 25 inf + 124734 4.365 * * [simplify]: Extracting #5: cost 0 inf + 132339 4.399 * * [simplify]: Extracting #6: cost 0 inf + 132299 4.428 * [simplify]: Simplified to: (log (/ 4/3 (- PI (* (* PI v) v)))) (log (/ 4/3 (- PI (* (* PI v) v)))) (exp (/ 4/3 (- PI (* (* PI v) v)))) (/ (/ 64/27 (- PI (* (* PI v) v))) (* (- PI (* (* PI v) v)) (- PI (* (* PI v) v)))) (* (cbrt (/ 4/3 (- PI (* (* PI v) v)))) (cbrt (/ 4/3 (- PI (* (* PI v) v))))) (cbrt (/ 4/3 (- PI (* (* PI v) v)))) (/ (/ 64/27 (- PI (* (* PI v) v))) (* (- PI (* (* PI v) v)) (- PI (* (* PI v) v)))) (sqrt (/ 4/3 (- PI (* (* PI v) v)))) (sqrt (/ 4/3 (- PI (* (* PI v) v)))) -4/3 (+ (- PI) (* (* PI v) v)) (* (/ (cbrt 4/3) (cbrt (- PI (* (* PI v) v)))) (/ (cbrt 4/3) (cbrt (- PI (* (* PI v) v))))) (/ (cbrt 4/3) (cbrt (- PI (* (* PI v) v)))) (* (/ (cbrt 4/3) (sqrt (- PI (* (* PI v) v)))) (cbrt 4/3)) (/ (cbrt 4/3) (sqrt (- PI (* (* PI v) v)))) (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (- PI (* (* PI v) v))) (/ (sqrt 4/3) (* (cbrt (- PI (* (* PI v) v))) (cbrt (- PI (* (* PI v) v))))) (/ (sqrt 4/3) (cbrt (- PI (* (* PI v) v)))) (/ (sqrt 4/3) (sqrt (- PI (* (* PI v) v)))) (/ (sqrt 4/3) (sqrt (- PI (* (* PI v) v)))) (sqrt 4/3) (/ (sqrt 4/3) (- PI (* (* PI v) v))) (/ 1 (* (cbrt (- PI (* (* PI v) v))) (cbrt (- PI (* (* PI v) v))))) (/ 4/3 (cbrt (- PI (* (* PI v) v)))) (/ 1 (sqrt (- PI (* (* PI v) v)))) (/ 4/3 (sqrt (- PI (* (* PI v) v)))) 1 (/ 4/3 (- PI (* (* PI v) v))) (/ 1 (- PI (* (* PI v) v))) (/ (- PI (* (* PI v) v)) 4/3) (/ 4/3 (* (cbrt (- PI (* (* PI v) v))) (cbrt (- PI (* (* PI v) v))))) (/ 4/3 (sqrt (- PI (* (* PI v) v)))) 4/3 (/ (- PI (* (* PI v) v)) (cbrt 4/3)) (/ (- PI (* (* PI v) v)) (sqrt 4/3)) (/ (- PI (* (* PI v) v)) 4/3) (/ 4/3 (- (* PI (* PI PI)) (* (* (* (* PI v) v) (* (* PI v) v)) (* (* PI v) v)))) (/ 4/3 (- (* PI PI) (* (* v (* PI v)) (* v (* PI v))))) (real->posit16 (/ 4/3 (- PI (* (* PI v) v)))) (* PI v) (log (* PI v)) (log (* PI v)) (exp (* PI v)) (* (* (* PI v) (* PI v)) (* PI v)) (* (cbrt (* PI v)) (cbrt (* PI v))) (cbrt (* PI v)) (* (* (* PI v) (* PI v)) (* PI v)) (sqrt (* PI v)) (sqrt (* PI v)) (* (sqrt v) (sqrt PI)) (* (sqrt v) (sqrt PI)) (* (cbrt v) (* (cbrt v) PI)) (* PI (sqrt v)) PI (* v (cbrt PI)) (* (sqrt PI) v) (* PI v) (real->posit16 (* PI v)) (* 6 (* v v)) (* 6 (* v v)) (log (* 6 (* v v))) (log (* 6 (* v v))) (log (* 6 (* v v))) (exp (* 6 (* v v))) (* 216 (* (* (* v v) v) (* (* v v) v))) (* 216 (* (* (* v v) v) (* (* v v) v))) (* (cbrt (* 6 (* v v))) (cbrt (* 6 (* v v)))) (cbrt (* 6 (* v v))) (* 216 (* (* (* v v) v) (* (* v v) v))) (sqrt (* 6 (* v v))) (sqrt (* 6 (* v v))) (* v (sqrt 6)) (* v (sqrt 6)) (* v 6) (* (cbrt 6) (* v v)) (* (* v (sqrt 6)) v) (* 6 (* v v)) (real->posit16 (* 6 (* v v))) (* (* PI v) v) (* (* PI v) v) (log (* (* PI v) v)) (log (* (* PI v) v)) (log (* (* PI v) v)) (exp (* (* PI v) v)) (* (* (* (* PI v) v) (* (* PI v) v)) (* (* PI v) v)) (* (* (* (* PI v) v) (* (* PI v) v)) (* (* PI v) v)) (* (cbrt (* (* PI v) v)) (cbrt (* (* PI v) v))) (cbrt (* (* PI v) v)) (* (* (* (* PI v) v) (* (* PI v) v)) (* (* PI v) v)) (sqrt (* (* PI v) v)) (sqrt (* (* PI v) v)) (* PI v) (* (cbrt v) (* PI v)) (* (sqrt v) (* PI v)) (* (* PI v) v) (real->posit16 (* (* PI v) v)) (+ (* (/ 4/3 PI) (* (* v v) (* v v))) (+ (* (/ 4/3 PI) (* v v)) (/ 4/3 PI))) (+ (/ -4/3 (* (* (* (* v v) v) (* v v)) (* PI v))) (+ (/ -4/3 (* v (* v (* (* PI v) v)))) (/ -4/3 (* (* PI v) v)))) (+ (/ -4/3 (* (* (* (* v v) v) (* v v)) (* PI v))) (+ (/ -4/3 (* v (* v (* (* PI v) v)))) (/ -4/3 (* (* PI v) v)))) (* PI v) (* PI v) (* PI v) (* 6 (* v v)) (* 6 (* v v)) (* 6 (* v v)) (* (* PI v) v) (* (* PI v) v) (* (* PI v) v) 4.435 * * * [progress]: adding candidates to table 5.388 * * [progress]: iteration 2 / 4 5.388 * * * [progress]: picking best candidate 5.394 * * * * [pick]: Picked # 5.394 * * * [progress]: localizing error 5.435 * * * [progress]: generating rewritten candidates 5.435 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 5.449 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 5.456 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 5.464 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1 2 2) 5.475 * * * [progress]: generating series expansions 5.476 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 5.476 * [backup-simplify]: Simplify (/ 4/3 (sqrt (- PI (* v (* PI v))))) into (* 4/3 (sqrt (/ 1 (- PI (* (pow v 2) PI))))) 5.476 * [approximate]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (* (pow v 2) PI))))) in (v) around 0 5.476 * [taylor]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (* (pow v 2) PI))))) in v 5.476 * [taylor]: Taking taylor expansion of 4/3 in v 5.476 * [backup-simplify]: Simplify 4/3 into 4/3 5.476 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (* (pow v 2) PI)))) in v 5.476 * [taylor]: Taking taylor expansion of (/ 1 (- PI (* (pow v 2) PI))) in v 5.476 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 5.476 * [taylor]: Taking taylor expansion of PI in v 5.476 * [backup-simplify]: Simplify PI into PI 5.476 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 5.476 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.476 * [taylor]: Taking taylor expansion of v in v 5.476 * [backup-simplify]: Simplify 0 into 0 5.476 * [backup-simplify]: Simplify 1 into 1 5.476 * [taylor]: Taking taylor expansion of PI in v 5.476 * [backup-simplify]: Simplify PI into PI 5.477 * [backup-simplify]: Simplify (+ PI 0) into PI 5.478 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 5.479 * [backup-simplify]: Simplify (sqrt (/ 1 PI)) into (sqrt (/ 1 PI)) 5.480 * [backup-simplify]: Simplify (+ 0 0) into 0 5.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 5.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 PI)))) into 0 5.482 * [taylor]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (* (pow v 2) PI))))) in v 5.482 * [taylor]: Taking taylor expansion of 4/3 in v 5.482 * [backup-simplify]: Simplify 4/3 into 4/3 5.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (* (pow v 2) PI)))) in v 5.482 * [taylor]: Taking taylor expansion of (/ 1 (- PI (* (pow v 2) PI))) in v 5.482 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 5.482 * [taylor]: Taking taylor expansion of PI in v 5.482 * [backup-simplify]: Simplify PI into PI 5.482 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 5.482 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.482 * [taylor]: Taking taylor expansion of v in v 5.482 * [backup-simplify]: Simplify 0 into 0 5.482 * [backup-simplify]: Simplify 1 into 1 5.482 * [taylor]: Taking taylor expansion of PI in v 5.482 * [backup-simplify]: Simplify PI into PI 5.483 * [backup-simplify]: Simplify (+ PI 0) into PI 5.484 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 5.485 * [backup-simplify]: Simplify (sqrt (/ 1 PI)) into (sqrt (/ 1 PI)) 5.485 * [backup-simplify]: Simplify (+ 0 0) into 0 5.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 5.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 PI)))) into 0 5.489 * [backup-simplify]: Simplify (* 4/3 (sqrt (/ 1 PI))) into (* 4/3 (sqrt (/ 1 PI))) 5.491 * [backup-simplify]: Simplify (* 4/3 (sqrt (/ 1 PI))) into (* 4/3 (sqrt (/ 1 PI))) 5.492 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (sqrt (/ 1 PI)))) into 0 5.492 * [backup-simplify]: Simplify 0 into 0 5.492 * [backup-simplify]: Simplify (* 1 1) into 1 5.493 * [backup-simplify]: Simplify (* 1 PI) into PI 5.493 * [backup-simplify]: Simplify (- PI) into (- PI) 5.494 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 5.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) 5.513 * [backup-simplify]: Simplify (/ (- (/ 1 PI) (pow 0 2) (+)) (* 2 (sqrt (/ 1 PI)))) into (* 1/2 (sqrt (/ 1 PI))) 5.519 * [backup-simplify]: Simplify (+ (* 4/3 (* 1/2 (sqrt (/ 1 PI)))) (+ (* 0 0) (* 0 (sqrt (/ 1 PI))))) into (* 2/3 (sqrt (/ 1 PI))) 5.521 * [backup-simplify]: Simplify (* 2/3 (sqrt (/ 1 PI))) into (* 2/3 (sqrt (/ 1 PI))) 5.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 5.523 * [backup-simplify]: Simplify (- 0) into 0 5.523 * [backup-simplify]: Simplify (+ 0 0) into 0 5.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 5.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (sqrt (/ 1 PI))))))) (* 2 (sqrt (/ 1 PI)))) into 0 5.529 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (* 1/2 (sqrt (/ 1 PI)))) (+ (* 0 0) (* 0 (sqrt (/ 1 PI)))))) into 0 5.529 * [backup-simplify]: Simplify 0 into 0 5.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 5.531 * [backup-simplify]: Simplify (- 0) into 0 5.532 * [backup-simplify]: Simplify (+ 0 0) into 0 5.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) 5.548 * [backup-simplify]: Simplify (/ (- (/ 1 PI) (pow (* 1/2 (sqrt (/ 1 PI))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 PI)))) into (* 3/8 (sqrt (/ 1 PI))) 5.552 * [backup-simplify]: Simplify (+ (* 4/3 (* 3/8 (sqrt (/ 1 PI)))) (+ (* 0 0) (+ (* 0 (* 1/2 (sqrt (/ 1 PI)))) (+ (* 0 0) (* 0 (sqrt (/ 1 PI))))))) into (* 1/2 (sqrt (/ 1 PI))) 5.553 * [backup-simplify]: Simplify (* 1/2 (sqrt (/ 1 PI))) into (* 1/2 (sqrt (/ 1 PI))) 5.557 * [backup-simplify]: Simplify (+ (* (* 1/2 (sqrt (/ 1 PI))) (pow v 4)) (+ (* (* 2/3 (sqrt (/ 1 PI))) (pow v 2)) (* 4/3 (sqrt (/ 1 PI))))) into (+ (* 1/2 (* (pow v 4) (sqrt (/ 1 PI)))) (+ (* 2/3 (* (pow v 2) (sqrt (/ 1 PI)))) (* 4/3 (sqrt (/ 1 PI))))) 5.557 * [backup-simplify]: Simplify (/ 4/3 (sqrt (- PI (* (/ 1 v) (* PI (/ 1 v)))))) into (* 4/3 (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) 5.557 * [approximate]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in (v) around 0 5.557 * [taylor]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in v 5.557 * [taylor]: Taking taylor expansion of 4/3 in v 5.557 * [backup-simplify]: Simplify 4/3 into 4/3 5.557 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (/ PI (pow v 2))))) in v 5.557 * [taylor]: Taking taylor expansion of (/ 1 (- PI (/ PI (pow v 2)))) in v 5.557 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 5.557 * [taylor]: Taking taylor expansion of PI in v 5.557 * [backup-simplify]: Simplify PI into PI 5.557 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 5.558 * [taylor]: Taking taylor expansion of PI in v 5.558 * [backup-simplify]: Simplify PI into PI 5.558 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.558 * [taylor]: Taking taylor expansion of v in v 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 1 into 1 5.558 * [backup-simplify]: Simplify (* 1 1) into 1 5.558 * [backup-simplify]: Simplify (/ PI 1) into PI 5.558 * [backup-simplify]: Simplify (- PI) into (- PI) 5.559 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 5.560 * [backup-simplify]: Simplify (/ 1 (- PI)) into (/ -1 PI) 5.560 * [backup-simplify]: Simplify (sqrt (/ -1 PI)) into (sqrt (/ -1 PI)) 5.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.562 * [backup-simplify]: Simplify (- 0) into 0 5.562 * [backup-simplify]: Simplify (+ 0 0) into 0 5.563 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))))) into 0 5.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 PI)))) into 0 5.563 * [taylor]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in v 5.563 * [taylor]: Taking taylor expansion of 4/3 in v 5.563 * [backup-simplify]: Simplify 4/3 into 4/3 5.563 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (/ PI (pow v 2))))) in v 5.563 * [taylor]: Taking taylor expansion of (/ 1 (- PI (/ PI (pow v 2)))) in v 5.563 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 5.563 * [taylor]: Taking taylor expansion of PI in v 5.563 * [backup-simplify]: Simplify PI into PI 5.563 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 5.563 * [taylor]: Taking taylor expansion of PI in v 5.563 * [backup-simplify]: Simplify PI into PI 5.563 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.563 * [taylor]: Taking taylor expansion of v in v 5.563 * [backup-simplify]: Simplify 0 into 0 5.564 * [backup-simplify]: Simplify 1 into 1 5.564 * [backup-simplify]: Simplify (* 1 1) into 1 5.564 * [backup-simplify]: Simplify (/ PI 1) into PI 5.564 * [backup-simplify]: Simplify (- PI) into (- PI) 5.565 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 5.566 * [backup-simplify]: Simplify (/ 1 (- PI)) into (/ -1 PI) 5.566 * [backup-simplify]: Simplify (sqrt (/ -1 PI)) into (sqrt (/ -1 PI)) 5.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.567 * [backup-simplify]: Simplify (- 0) into 0 5.568 * [backup-simplify]: Simplify (+ 0 0) into 0 5.568 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))))) into 0 5.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 PI)))) into 0 5.570 * [backup-simplify]: Simplify (* 4/3 (sqrt (/ -1 PI))) into (* 4/3 (sqrt (/ -1 PI))) 5.571 * [backup-simplify]: Simplify (* 4/3 (sqrt (/ -1 PI))) into (* 4/3 (sqrt (/ -1 PI))) 5.572 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (sqrt (/ -1 PI)))) into 0 5.572 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.574 * [backup-simplify]: Simplify (- 0) into 0 5.574 * [backup-simplify]: Simplify (+ PI 0) into PI 5.580 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ 1 PI)) 5.586 * [backup-simplify]: Simplify (/ (- (- (/ 1 PI)) (pow 0 2) (+)) (* 2 (sqrt (/ -1 PI)))) into (/ -1/2 (* PI (sqrt (/ -1 PI)))) 5.593 * [backup-simplify]: Simplify (+ (* 4/3 (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI))))) into (- (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI)))))) 5.598 * [backup-simplify]: Simplify (- (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI)))))) into (- (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI)))))) 5.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.601 * [backup-simplify]: Simplify (- 0) into 0 5.601 * [backup-simplify]: Simplify (+ 0 0) into 0 5.603 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (/ 1 PI)) (/ 0 (- PI))))) into 0 5.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI)))))))) (* 2 (sqrt (/ -1 PI)))) into 0 5.608 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI)))))) into 0 5.608 * [backup-simplify]: Simplify 0 into 0 5.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.611 * [backup-simplify]: Simplify (- 0) into 0 5.611 * [backup-simplify]: Simplify (+ 0 0) into 0 5.621 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (/ 1 PI)) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ 1 PI)) 5.641 * [backup-simplify]: Simplify (/ (- (- (/ 1 PI)) (pow (/ -1/2 (* PI (sqrt (/ -1 PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ -1 PI)))) into (* -1/2 (/ (+ (/ 1 PI) (* 1/4 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 2))))) (sqrt (/ -1 PI)))) 5.665 * [backup-simplify]: Simplify (+ (* 4/3 (* -1/2 (/ (+ (/ 1 PI) (* 1/4 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 2))))) (sqrt (/ -1 PI))))) (+ (* 0 0) (+ (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI))))))) into (- (+ (* 1/6 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI))))))) 5.678 * [backup-simplify]: Simplify (- (+ (* 1/6 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI))))))) into (- (+ (* 1/6 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI))))))) 5.691 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/6 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI))))))) (pow (/ 1 v) 5)) (+ (* (- (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI)))))) (pow (/ 1 v) 3)) (* (* 4/3 (sqrt (/ -1 PI))) (/ 1 v)))) into (- (* 4/3 (/ (sqrt (/ -1 PI)) v)) (+ (* 1/6 (/ 1 (* (pow v 5) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3))))) (+ (* 2/3 (/ 1 (* (pow v 3) (* PI (sqrt (/ -1 PI)))))) (* 2/3 (/ 1 (* (pow v 5) (* PI (sqrt (/ -1 PI))))))))) 5.692 * [backup-simplify]: Simplify (/ 4/3 (sqrt (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))))) into (* 4/3 (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) 5.692 * [approximate]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in (v) around 0 5.692 * [taylor]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in v 5.692 * [taylor]: Taking taylor expansion of 4/3 in v 5.692 * [backup-simplify]: Simplify 4/3 into 4/3 5.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (/ PI (pow v 2))))) in v 5.692 * [taylor]: Taking taylor expansion of (/ 1 (- PI (/ PI (pow v 2)))) in v 5.692 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 5.692 * [taylor]: Taking taylor expansion of PI in v 5.692 * [backup-simplify]: Simplify PI into PI 5.692 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 5.692 * [taylor]: Taking taylor expansion of PI in v 5.692 * [backup-simplify]: Simplify PI into PI 5.692 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.692 * [taylor]: Taking taylor expansion of v in v 5.692 * [backup-simplify]: Simplify 0 into 0 5.692 * [backup-simplify]: Simplify 1 into 1 5.692 * [backup-simplify]: Simplify (* 1 1) into 1 5.693 * [backup-simplify]: Simplify (/ PI 1) into PI 5.693 * [backup-simplify]: Simplify (- PI) into (- PI) 5.694 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 5.694 * [backup-simplify]: Simplify (/ 1 (- PI)) into (/ -1 PI) 5.695 * [backup-simplify]: Simplify (sqrt (/ -1 PI)) into (sqrt (/ -1 PI)) 5.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.696 * [backup-simplify]: Simplify (- 0) into 0 5.697 * [backup-simplify]: Simplify (+ 0 0) into 0 5.697 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))))) into 0 5.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 PI)))) into 0 5.698 * [taylor]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in v 5.698 * [taylor]: Taking taylor expansion of 4/3 in v 5.698 * [backup-simplify]: Simplify 4/3 into 4/3 5.698 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (/ PI (pow v 2))))) in v 5.698 * [taylor]: Taking taylor expansion of (/ 1 (- PI (/ PI (pow v 2)))) in v 5.698 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 5.698 * [taylor]: Taking taylor expansion of PI in v 5.698 * [backup-simplify]: Simplify PI into PI 5.698 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 5.698 * [taylor]: Taking taylor expansion of PI in v 5.698 * [backup-simplify]: Simplify PI into PI 5.698 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.698 * [taylor]: Taking taylor expansion of v in v 5.698 * [backup-simplify]: Simplify 0 into 0 5.698 * [backup-simplify]: Simplify 1 into 1 5.698 * [backup-simplify]: Simplify (* 1 1) into 1 5.699 * [backup-simplify]: Simplify (/ PI 1) into PI 5.699 * [backup-simplify]: Simplify (- PI) into (- PI) 5.700 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 5.700 * [backup-simplify]: Simplify (/ 1 (- PI)) into (/ -1 PI) 5.701 * [backup-simplify]: Simplify (sqrt (/ -1 PI)) into (sqrt (/ -1 PI)) 5.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.702 * [backup-simplify]: Simplify (- 0) into 0 5.702 * [backup-simplify]: Simplify (+ 0 0) into 0 5.703 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))))) into 0 5.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 PI)))) into 0 5.705 * [backup-simplify]: Simplify (* 4/3 (sqrt (/ -1 PI))) into (* 4/3 (sqrt (/ -1 PI))) 5.706 * [backup-simplify]: Simplify (* 4/3 (sqrt (/ -1 PI))) into (* 4/3 (sqrt (/ -1 PI))) 5.706 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (sqrt (/ -1 PI)))) into 0 5.707 * [backup-simplify]: Simplify 0 into 0 5.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.708 * [backup-simplify]: Simplify (- 0) into 0 5.708 * [backup-simplify]: Simplify (+ PI 0) into PI 5.712 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ 1 PI)) 5.715 * [backup-simplify]: Simplify (/ (- (- (/ 1 PI)) (pow 0 2) (+)) (* 2 (sqrt (/ -1 PI)))) into (/ -1/2 (* PI (sqrt (/ -1 PI)))) 5.719 * [backup-simplify]: Simplify (+ (* 4/3 (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI))))) into (- (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI)))))) 5.722 * [backup-simplify]: Simplify (- (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI)))))) into (- (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI)))))) 5.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.724 * [backup-simplify]: Simplify (- 0) into 0 5.724 * [backup-simplify]: Simplify (+ 0 0) into 0 5.726 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (/ 1 PI)) (/ 0 (- PI))))) into 0 5.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI)))))))) (* 2 (sqrt (/ -1 PI)))) into 0 5.729 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI)))))) into 0 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.731 * [backup-simplify]: Simplify (- 0) into 0 5.731 * [backup-simplify]: Simplify (+ 0 0) into 0 5.748 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (/ 1 PI)) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ 1 PI)) 5.761 * [backup-simplify]: Simplify (/ (- (- (/ 1 PI)) (pow (/ -1/2 (* PI (sqrt (/ -1 PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ -1 PI)))) into (* -1/2 (/ (+ (/ 1 PI) (* 1/4 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 2))))) (sqrt (/ -1 PI)))) 5.778 * [backup-simplify]: Simplify (+ (* 4/3 (* -1/2 (/ (+ (/ 1 PI) (* 1/4 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 2))))) (sqrt (/ -1 PI))))) (+ (* 0 0) (+ (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI))))))) into (- (+ (* 1/6 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI))))))) 5.788 * [backup-simplify]: Simplify (- (+ (* 1/6 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI))))))) into (- (+ (* 1/6 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI))))))) 5.807 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/6 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI))))))) (pow (/ 1 (- v)) 5)) (+ (* (- (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI)))))) (pow (/ 1 (- v)) 3)) (* (* 4/3 (sqrt (/ -1 PI))) (/ 1 (- v))))) into (- (+ (* 1/6 (/ 1 (* (pow v 5) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3))))) (+ (* 2/3 (/ 1 (* (pow v 3) (* PI (sqrt (/ -1 PI)))))) (* 2/3 (/ 1 (* (pow v 5) (* PI (sqrt (/ -1 PI)))))))) (* 4/3 (/ (sqrt (/ -1 PI)) v))) 5.807 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 5.807 * [backup-simplify]: Simplify (sqrt (- PI (* v (* PI v)))) into (sqrt (- PI (* (pow v 2) PI))) 5.807 * [approximate]: Taking taylor expansion of (sqrt (- PI (* (pow v 2) PI))) in (v) around 0 5.807 * [taylor]: Taking taylor expansion of (sqrt (- PI (* (pow v 2) PI))) in v 5.807 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 5.807 * [taylor]: Taking taylor expansion of PI in v 5.807 * [backup-simplify]: Simplify PI into PI 5.807 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 5.807 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.807 * [taylor]: Taking taylor expansion of v in v 5.807 * [backup-simplify]: Simplify 0 into 0 5.807 * [backup-simplify]: Simplify 1 into 1 5.807 * [taylor]: Taking taylor expansion of PI in v 5.807 * [backup-simplify]: Simplify PI into PI 5.808 * [backup-simplify]: Simplify (+ PI 0) into PI 5.808 * [backup-simplify]: Simplify (sqrt PI) into (sqrt PI) 5.809 * [backup-simplify]: Simplify (+ 0 0) into 0 5.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt PI))) into 0 5.810 * [taylor]: Taking taylor expansion of (sqrt (- PI (* (pow v 2) PI))) in v 5.810 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 5.810 * [taylor]: Taking taylor expansion of PI in v 5.810 * [backup-simplify]: Simplify PI into PI 5.810 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 5.810 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.810 * [taylor]: Taking taylor expansion of v in v 5.810 * [backup-simplify]: Simplify 0 into 0 5.810 * [backup-simplify]: Simplify 1 into 1 5.810 * [taylor]: Taking taylor expansion of PI in v 5.810 * [backup-simplify]: Simplify PI into PI 5.811 * [backup-simplify]: Simplify (+ PI 0) into PI 5.811 * [backup-simplify]: Simplify (sqrt PI) into (sqrt PI) 5.812 * [backup-simplify]: Simplify (+ 0 0) into 0 5.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt PI))) into 0 5.813 * [backup-simplify]: Simplify (sqrt PI) into (sqrt PI) 5.813 * [backup-simplify]: Simplify 0 into 0 5.814 * [backup-simplify]: Simplify (* 1 1) into 1 5.814 * [backup-simplify]: Simplify (* 1 PI) into PI 5.815 * [backup-simplify]: Simplify (- PI) into (- PI) 5.816 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 5.820 * [backup-simplify]: Simplify (/ (- (- PI) (pow 0 2) (+)) (* 2 (sqrt PI))) into (* -1/2 (sqrt PI)) 5.821 * [backup-simplify]: Simplify (* -1/2 (sqrt PI)) into (* -1/2 (sqrt PI)) 5.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 5.823 * [backup-simplify]: Simplify (- 0) into 0 5.823 * [backup-simplify]: Simplify (+ 0 0) into 0 5.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (sqrt PI)))))) (* 2 (sqrt PI))) into 0 5.825 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 5.828 * [backup-simplify]: Simplify (- 0) into 0 5.828 * [backup-simplify]: Simplify (+ 0 0) into 0 5.833 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (sqrt PI)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt PI))) into (* -1/8 (sqrt PI)) 5.834 * [backup-simplify]: Simplify (* -1/8 (sqrt PI)) into (* -1/8 (sqrt PI)) 5.835 * [backup-simplify]: Simplify (+ (* (* -1/8 (sqrt PI)) (pow v 4)) (+ (* (* -1/2 (sqrt PI)) (pow v 2)) (sqrt PI))) into (- (sqrt PI) (+ (* 1/2 (* (pow v 2) (sqrt PI))) (* 1/8 (* (pow v 4) (sqrt PI))))) 5.835 * [backup-simplify]: Simplify (sqrt (- PI (* (/ 1 v) (* PI (/ 1 v))))) into (sqrt (- PI (/ PI (pow v 2)))) 5.835 * [approximate]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in (v) around 0 5.835 * [taylor]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in v 5.836 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 5.836 * [taylor]: Taking taylor expansion of PI in v 5.836 * [backup-simplify]: Simplify PI into PI 5.836 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 5.836 * [taylor]: Taking taylor expansion of PI in v 5.836 * [backup-simplify]: Simplify PI into PI 5.836 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.836 * [taylor]: Taking taylor expansion of v in v 5.836 * [backup-simplify]: Simplify 0 into 0 5.836 * [backup-simplify]: Simplify 1 into 1 5.836 * [backup-simplify]: Simplify (* 1 1) into 1 5.836 * [backup-simplify]: Simplify (/ PI 1) into PI 5.836 * [backup-simplify]: Simplify (- PI) into (- PI) 5.837 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 5.838 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 5.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.839 * [backup-simplify]: Simplify (- 0) into 0 5.839 * [backup-simplify]: Simplify (+ 0 0) into 0 5.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- PI)))) into 0 5.840 * [taylor]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in v 5.840 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 5.840 * [taylor]: Taking taylor expansion of PI in v 5.840 * [backup-simplify]: Simplify PI into PI 5.840 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 5.840 * [taylor]: Taking taylor expansion of PI in v 5.840 * [backup-simplify]: Simplify PI into PI 5.840 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.840 * [taylor]: Taking taylor expansion of v in v 5.840 * [backup-simplify]: Simplify 0 into 0 5.840 * [backup-simplify]: Simplify 1 into 1 5.840 * [backup-simplify]: Simplify (* 1 1) into 1 5.841 * [backup-simplify]: Simplify (/ PI 1) into PI 5.841 * [backup-simplify]: Simplify (- PI) into (- PI) 5.841 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 5.842 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 5.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.843 * [backup-simplify]: Simplify (- 0) into 0 5.843 * [backup-simplify]: Simplify (+ 0 0) into 0 5.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- PI)))) into 0 5.845 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.846 * [backup-simplify]: Simplify (- 0) into 0 5.846 * [backup-simplify]: Simplify (+ PI 0) into PI 5.849 * [backup-simplify]: Simplify (/ (- PI (pow 0 2) (+)) (* 2 (sqrt (- PI)))) into (* 1/2 (/ PI (sqrt (- PI)))) 5.850 * [backup-simplify]: Simplify (* 1/2 (/ PI (sqrt (- PI)))) into (* 1/2 (/ PI (sqrt (- PI)))) 5.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.852 * [backup-simplify]: Simplify (- 0) into 0 5.852 * [backup-simplify]: Simplify (+ 0 0) into 0 5.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (/ PI (sqrt (- PI)))))))) (* 2 (sqrt (- PI)))) into 0 5.859 * [backup-simplify]: Simplify 0 into 0 5.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.862 * [backup-simplify]: Simplify (- 0) into 0 5.863 * [backup-simplify]: Simplify (+ 0 0) into 0 5.872 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (/ PI (sqrt (- PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- PI)))) into (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) 5.874 * [backup-simplify]: Simplify (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) into (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) 5.879 * [backup-simplify]: Simplify (+ (* (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) (pow (/ 1 v) 3)) (+ (* (* 1/2 (/ PI (sqrt (- PI)))) (/ 1 v)) (* (sqrt (- PI)) (/ 1 (/ 1 v))))) into (- (+ (* 1/2 (/ PI (* v (sqrt (- PI))))) (* v (sqrt (- PI)))) (* 1/8 (/ (pow PI 2) (* (pow v 3) (pow (sqrt (- PI)) 3))))) 5.879 * [backup-simplify]: Simplify (sqrt (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) into (sqrt (- PI (/ PI (pow v 2)))) 5.879 * [approximate]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in (v) around 0 5.879 * [taylor]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in v 5.879 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 5.879 * [taylor]: Taking taylor expansion of PI in v 5.879 * [backup-simplify]: Simplify PI into PI 5.879 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 5.880 * [taylor]: Taking taylor expansion of PI in v 5.880 * [backup-simplify]: Simplify PI into PI 5.880 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.880 * [taylor]: Taking taylor expansion of v in v 5.880 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify 1 into 1 5.880 * [backup-simplify]: Simplify (* 1 1) into 1 5.880 * [backup-simplify]: Simplify (/ PI 1) into PI 5.880 * [backup-simplify]: Simplify (- PI) into (- PI) 5.881 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 5.882 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 5.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.883 * [backup-simplify]: Simplify (- 0) into 0 5.883 * [backup-simplify]: Simplify (+ 0 0) into 0 5.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- PI)))) into 0 5.884 * [taylor]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in v 5.884 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 5.884 * [taylor]: Taking taylor expansion of PI in v 5.884 * [backup-simplify]: Simplify PI into PI 5.884 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 5.884 * [taylor]: Taking taylor expansion of PI in v 5.884 * [backup-simplify]: Simplify PI into PI 5.884 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.884 * [taylor]: Taking taylor expansion of v in v 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 1 into 1 5.884 * [backup-simplify]: Simplify (* 1 1) into 1 5.884 * [backup-simplify]: Simplify (/ PI 1) into PI 5.885 * [backup-simplify]: Simplify (- PI) into (- PI) 5.885 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 5.886 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 5.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.887 * [backup-simplify]: Simplify (- 0) into 0 5.887 * [backup-simplify]: Simplify (+ 0 0) into 0 5.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- PI)))) into 0 5.888 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 5.888 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.890 * [backup-simplify]: Simplify (- 0) into 0 5.890 * [backup-simplify]: Simplify (+ PI 0) into PI 5.893 * [backup-simplify]: Simplify (/ (- PI (pow 0 2) (+)) (* 2 (sqrt (- PI)))) into (* 1/2 (/ PI (sqrt (- PI)))) 5.895 * [backup-simplify]: Simplify (* 1/2 (/ PI (sqrt (- PI)))) into (* 1/2 (/ PI (sqrt (- PI)))) 5.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.896 * [backup-simplify]: Simplify (- 0) into 0 5.897 * [backup-simplify]: Simplify (+ 0 0) into 0 5.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (/ PI (sqrt (- PI)))))))) (* 2 (sqrt (- PI)))) into 0 5.898 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.899 * [backup-simplify]: Simplify (- 0) into 0 5.900 * [backup-simplify]: Simplify (+ 0 0) into 0 5.905 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (/ PI (sqrt (- PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- PI)))) into (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) 5.908 * [backup-simplify]: Simplify (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) into (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) 5.915 * [backup-simplify]: Simplify (+ (* (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) (pow (/ 1 (- v)) 3)) (+ (* (* 1/2 (/ PI (sqrt (- PI)))) (/ 1 (- v))) (* (sqrt (- PI)) (/ 1 (/ 1 (- v)))))) into (- (* 1/8 (/ (pow PI 2) (* (pow v 3) (pow (sqrt (- PI)) 3)))) (+ (* 1/2 (/ PI (* v (sqrt (- PI))))) (* v (sqrt (- PI))))) 5.915 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 5.915 * [backup-simplify]: Simplify (sqrt (- PI (* v (* PI v)))) into (sqrt (- PI (* (pow v 2) PI))) 5.915 * [approximate]: Taking taylor expansion of (sqrt (- PI (* (pow v 2) PI))) in (v) around 0 5.915 * [taylor]: Taking taylor expansion of (sqrt (- PI (* (pow v 2) PI))) in v 5.915 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 5.915 * [taylor]: Taking taylor expansion of PI in v 5.915 * [backup-simplify]: Simplify PI into PI 5.915 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 5.915 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.916 * [taylor]: Taking taylor expansion of v in v 5.916 * [backup-simplify]: Simplify 0 into 0 5.916 * [backup-simplify]: Simplify 1 into 1 5.916 * [taylor]: Taking taylor expansion of PI in v 5.916 * [backup-simplify]: Simplify PI into PI 5.916 * [backup-simplify]: Simplify (+ PI 0) into PI 5.917 * [backup-simplify]: Simplify (sqrt PI) into (sqrt PI) 5.917 * [backup-simplify]: Simplify (+ 0 0) into 0 5.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt PI))) into 0 5.918 * [taylor]: Taking taylor expansion of (sqrt (- PI (* (pow v 2) PI))) in v 5.918 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 5.918 * [taylor]: Taking taylor expansion of PI in v 5.918 * [backup-simplify]: Simplify PI into PI 5.918 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 5.918 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.918 * [taylor]: Taking taylor expansion of v in v 5.918 * [backup-simplify]: Simplify 0 into 0 5.918 * [backup-simplify]: Simplify 1 into 1 5.918 * [taylor]: Taking taylor expansion of PI in v 5.918 * [backup-simplify]: Simplify PI into PI 5.919 * [backup-simplify]: Simplify (+ PI 0) into PI 5.920 * [backup-simplify]: Simplify (sqrt PI) into (sqrt PI) 5.920 * [backup-simplify]: Simplify (+ 0 0) into 0 5.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt PI))) into 0 5.921 * [backup-simplify]: Simplify (sqrt PI) into (sqrt PI) 5.921 * [backup-simplify]: Simplify 0 into 0 5.922 * [backup-simplify]: Simplify (* 1 1) into 1 5.922 * [backup-simplify]: Simplify (* 1 PI) into PI 5.923 * [backup-simplify]: Simplify (- PI) into (- PI) 5.924 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 5.928 * [backup-simplify]: Simplify (/ (- (- PI) (pow 0 2) (+)) (* 2 (sqrt PI))) into (* -1/2 (sqrt PI)) 5.928 * [backup-simplify]: Simplify (* -1/2 (sqrt PI)) into (* -1/2 (sqrt PI)) 5.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 5.929 * [backup-simplify]: Simplify (- 0) into 0 5.930 * [backup-simplify]: Simplify (+ 0 0) into 0 5.931 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (sqrt PI)))))) (* 2 (sqrt PI))) into 0 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 5.932 * [backup-simplify]: Simplify (- 0) into 0 5.932 * [backup-simplify]: Simplify (+ 0 0) into 0 5.936 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (sqrt PI)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt PI))) into (* -1/8 (sqrt PI)) 5.937 * [backup-simplify]: Simplify (* -1/8 (sqrt PI)) into (* -1/8 (sqrt PI)) 5.939 * [backup-simplify]: Simplify (+ (* (* -1/8 (sqrt PI)) (pow v 4)) (+ (* (* -1/2 (sqrt PI)) (pow v 2)) (sqrt PI))) into (- (sqrt PI) (+ (* 1/2 (* (pow v 2) (sqrt PI))) (* 1/8 (* (pow v 4) (sqrt PI))))) 5.939 * [backup-simplify]: Simplify (sqrt (- PI (* (/ 1 v) (* PI (/ 1 v))))) into (sqrt (- PI (/ PI (pow v 2)))) 5.939 * [approximate]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in (v) around 0 5.939 * [taylor]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in v 5.939 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 5.939 * [taylor]: Taking taylor expansion of PI in v 5.939 * [backup-simplify]: Simplify PI into PI 5.939 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 5.939 * [taylor]: Taking taylor expansion of PI in v 5.939 * [backup-simplify]: Simplify PI into PI 5.939 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.939 * [taylor]: Taking taylor expansion of v in v 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify 1 into 1 5.939 * [backup-simplify]: Simplify (* 1 1) into 1 5.940 * [backup-simplify]: Simplify (/ PI 1) into PI 5.940 * [backup-simplify]: Simplify (- PI) into (- PI) 5.941 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 5.941 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 5.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.942 * [backup-simplify]: Simplify (- 0) into 0 5.942 * [backup-simplify]: Simplify (+ 0 0) into 0 5.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- PI)))) into 0 5.943 * [taylor]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in v 5.943 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 5.943 * [taylor]: Taking taylor expansion of PI in v 5.943 * [backup-simplify]: Simplify PI into PI 5.943 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 5.943 * [taylor]: Taking taylor expansion of PI in v 5.943 * [backup-simplify]: Simplify PI into PI 5.943 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.943 * [taylor]: Taking taylor expansion of v in v 5.943 * [backup-simplify]: Simplify 0 into 0 5.943 * [backup-simplify]: Simplify 1 into 1 5.943 * [backup-simplify]: Simplify (* 1 1) into 1 5.944 * [backup-simplify]: Simplify (/ PI 1) into PI 5.944 * [backup-simplify]: Simplify (- PI) into (- PI) 5.945 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 5.945 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 5.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.946 * [backup-simplify]: Simplify (- 0) into 0 5.947 * [backup-simplify]: Simplify (+ 0 0) into 0 5.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- PI)))) into 0 5.948 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 5.948 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.949 * [backup-simplify]: Simplify (- 0) into 0 5.950 * [backup-simplify]: Simplify (+ PI 0) into PI 5.952 * [backup-simplify]: Simplify (/ (- PI (pow 0 2) (+)) (* 2 (sqrt (- PI)))) into (* 1/2 (/ PI (sqrt (- PI)))) 5.953 * [backup-simplify]: Simplify (* 1/2 (/ PI (sqrt (- PI)))) into (* 1/2 (/ PI (sqrt (- PI)))) 5.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.955 * [backup-simplify]: Simplify (- 0) into 0 5.956 * [backup-simplify]: Simplify (+ 0 0) into 0 5.964 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (/ PI (sqrt (- PI)))))))) (* 2 (sqrt (- PI)))) into 0 5.964 * [backup-simplify]: Simplify 0 into 0 5.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.968 * [backup-simplify]: Simplify (- 0) into 0 5.968 * [backup-simplify]: Simplify (+ 0 0) into 0 5.978 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (/ PI (sqrt (- PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- PI)))) into (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) 5.983 * [backup-simplify]: Simplify (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) into (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) 5.991 * [backup-simplify]: Simplify (+ (* (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) (pow (/ 1 v) 3)) (+ (* (* 1/2 (/ PI (sqrt (- PI)))) (/ 1 v)) (* (sqrt (- PI)) (/ 1 (/ 1 v))))) into (- (+ (* 1/2 (/ PI (* v (sqrt (- PI))))) (* v (sqrt (- PI)))) (* 1/8 (/ (pow PI 2) (* (pow v 3) (pow (sqrt (- PI)) 3))))) 5.991 * [backup-simplify]: Simplify (sqrt (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) into (sqrt (- PI (/ PI (pow v 2)))) 5.991 * [approximate]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in (v) around 0 5.991 * [taylor]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in v 5.991 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 5.991 * [taylor]: Taking taylor expansion of PI in v 5.991 * [backup-simplify]: Simplify PI into PI 5.991 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 5.991 * [taylor]: Taking taylor expansion of PI in v 5.991 * [backup-simplify]: Simplify PI into PI 5.991 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.991 * [taylor]: Taking taylor expansion of v in v 5.991 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify 1 into 1 5.992 * [backup-simplify]: Simplify (* 1 1) into 1 5.992 * [backup-simplify]: Simplify (/ PI 1) into PI 5.993 * [backup-simplify]: Simplify (- PI) into (- PI) 5.994 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 5.995 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 5.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.996 * [backup-simplify]: Simplify (- 0) into 0 5.997 * [backup-simplify]: Simplify (+ 0 0) into 0 5.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- PI)))) into 0 5.998 * [taylor]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in v 5.998 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 5.998 * [taylor]: Taking taylor expansion of PI in v 5.998 * [backup-simplify]: Simplify PI into PI 5.998 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 5.998 * [taylor]: Taking taylor expansion of PI in v 5.998 * [backup-simplify]: Simplify PI into PI 5.998 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.998 * [taylor]: Taking taylor expansion of v in v 5.998 * [backup-simplify]: Simplify 0 into 0 5.998 * [backup-simplify]: Simplify 1 into 1 5.998 * [backup-simplify]: Simplify (* 1 1) into 1 5.999 * [backup-simplify]: Simplify (/ PI 1) into PI 5.999 * [backup-simplify]: Simplify (- PI) into (- PI) 6.000 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.001 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 6.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.003 * [backup-simplify]: Simplify (- 0) into 0 6.003 * [backup-simplify]: Simplify (+ 0 0) into 0 6.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- PI)))) into 0 6.005 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 6.005 * [backup-simplify]: Simplify 0 into 0 6.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.007 * [backup-simplify]: Simplify (- 0) into 0 6.008 * [backup-simplify]: Simplify (+ PI 0) into PI 6.012 * [backup-simplify]: Simplify (/ (- PI (pow 0 2) (+)) (* 2 (sqrt (- PI)))) into (* 1/2 (/ PI (sqrt (- PI)))) 6.014 * [backup-simplify]: Simplify (* 1/2 (/ PI (sqrt (- PI)))) into (* 1/2 (/ PI (sqrt (- PI)))) 6.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.017 * [backup-simplify]: Simplify (- 0) into 0 6.017 * [backup-simplify]: Simplify (+ 0 0) into 0 6.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (/ PI (sqrt (- PI)))))))) (* 2 (sqrt (- PI)))) into 0 6.020 * [backup-simplify]: Simplify 0 into 0 6.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.023 * [backup-simplify]: Simplify (- 0) into 0 6.023 * [backup-simplify]: Simplify (+ 0 0) into 0 6.033 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (/ PI (sqrt (- PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- PI)))) into (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) 6.039 * [backup-simplify]: Simplify (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) into (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) 6.047 * [backup-simplify]: Simplify (+ (* (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) (pow (/ 1 (- v)) 3)) (+ (* (* 1/2 (/ PI (sqrt (- PI)))) (/ 1 (- v))) (* (sqrt (- PI)) (/ 1 (/ 1 (- v)))))) into (- (* 1/8 (/ (pow PI 2) (* (pow v 3) (pow (sqrt (- PI)) 3)))) (+ (* 1/2 (/ PI (* v (sqrt (- PI))))) (* v (sqrt (- PI))))) 6.047 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1 2 2) 6.047 * [backup-simplify]: Simplify (* PI v) into (* v PI) 6.047 * [approximate]: Taking taylor expansion of (* v PI) in (v) around 0 6.047 * [taylor]: Taking taylor expansion of (* v PI) in v 6.047 * [taylor]: Taking taylor expansion of v in v 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify 1 into 1 6.047 * [taylor]: Taking taylor expansion of PI in v 6.047 * [backup-simplify]: Simplify PI into PI 6.047 * [taylor]: Taking taylor expansion of (* v PI) in v 6.047 * [taylor]: Taking taylor expansion of v in v 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify 1 into 1 6.047 * [taylor]: Taking taylor expansion of PI in v 6.047 * [backup-simplify]: Simplify PI into PI 6.048 * [backup-simplify]: Simplify (* 0 PI) into 0 6.048 * [backup-simplify]: Simplify 0 into 0 6.049 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.049 * [backup-simplify]: Simplify PI into PI 6.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.049 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.050 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.051 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.052 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.053 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify (* PI v) into (* v PI) 6.054 * [backup-simplify]: Simplify (* PI (/ 1 v)) into (/ PI v) 6.054 * [approximate]: Taking taylor expansion of (/ PI v) in (v) around 0 6.054 * [taylor]: Taking taylor expansion of (/ PI v) in v 6.054 * [taylor]: Taking taylor expansion of PI in v 6.054 * [backup-simplify]: Simplify PI into PI 6.054 * [taylor]: Taking taylor expansion of v in v 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify 1 into 1 6.055 * [backup-simplify]: Simplify (/ PI 1) into PI 6.055 * [taylor]: Taking taylor expansion of (/ PI v) in v 6.055 * [taylor]: Taking taylor expansion of PI in v 6.055 * [backup-simplify]: Simplify PI into PI 6.055 * [taylor]: Taking taylor expansion of v in v 6.055 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify 1 into 1 6.055 * [backup-simplify]: Simplify (/ PI 1) into PI 6.055 * [backup-simplify]: Simplify PI into PI 6.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.056 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.057 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify (* PI (/ 1 (/ 1 v))) into (* v PI) 6.060 * [backup-simplify]: Simplify (* PI (/ 1 (- v))) into (* -1 (/ PI v)) 6.060 * [approximate]: Taking taylor expansion of (* -1 (/ PI v)) in (v) around 0 6.060 * [taylor]: Taking taylor expansion of (* -1 (/ PI v)) in v 6.060 * [taylor]: Taking taylor expansion of -1 in v 6.060 * [backup-simplify]: Simplify -1 into -1 6.060 * [taylor]: Taking taylor expansion of (/ PI v) in v 6.060 * [taylor]: Taking taylor expansion of PI in v 6.060 * [backup-simplify]: Simplify PI into PI 6.060 * [taylor]: Taking taylor expansion of v in v 6.060 * [backup-simplify]: Simplify 0 into 0 6.060 * [backup-simplify]: Simplify 1 into 1 6.060 * [backup-simplify]: Simplify (/ PI 1) into PI 6.060 * [taylor]: Taking taylor expansion of (* -1 (/ PI v)) in v 6.060 * [taylor]: Taking taylor expansion of -1 in v 6.060 * [backup-simplify]: Simplify -1 into -1 6.060 * [taylor]: Taking taylor expansion of (/ PI v) in v 6.060 * [taylor]: Taking taylor expansion of PI in v 6.060 * [backup-simplify]: Simplify PI into PI 6.060 * [taylor]: Taking taylor expansion of v in v 6.060 * [backup-simplify]: Simplify 0 into 0 6.060 * [backup-simplify]: Simplify 1 into 1 6.061 * [backup-simplify]: Simplify (/ PI 1) into PI 6.061 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 6.062 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 6.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.063 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.064 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 6.064 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.065 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.065 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.067 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.067 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.068 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.068 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.070 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.070 * [backup-simplify]: Simplify 0 into 0 6.070 * [backup-simplify]: Simplify (* (* -1 PI) (/ 1 (/ 1 (- v)))) into (* v PI) 6.070 * * * [progress]: simplifying candidates 6.070 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 21 / 105 ] simplifiying candidate # 6.071 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 24 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 36 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 42 / 105 ] simplifiying candidate #real (real->posit16 (/ 4/3 (sqrt (- PI (* v (* PI v)))))))) (sqrt (- 2 (* 6 (* v v))))))> 6.072 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 45 / 105 ] simplifiying candidate # 6.072 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 58 / 105 ] simplifiying candidate #real (real->posit16 (sqrt (- PI (* v (* PI v)))))))) (sqrt (- 2 (* 6 (* v v))))))> 6.073 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 67 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 68 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 6.073 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 71 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 72 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 74 / 105 ] simplifiying candidate #real (real->posit16 (sqrt (- PI (* v (* PI v))))))) (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (sqrt (- 2 (* 6 (* v v))))))> 6.074 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 6.074 * * * * [progress]: [ 92 / 105 ] simplifiying candidate #real (real->posit16 (* PI v)))))))) (sqrt (- 2 (* 6 (* v v))))))> 6.074 * * * * [progress]: [ 93 / 105 ] simplifiying candidate # 6.075 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 6.075 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 6.075 * * * * [progress]: [ 96 / 105 ] simplifiying candidate # 6.075 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 6.075 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 6.075 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 6.075 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 6.075 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 6.075 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 6.075 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 6.075 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 6.075 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 6.077 * [simplify]: Simplifying: (- (log 4/3) (log (sqrt (- PI (* v (* PI v)))))) (log (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (exp (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (/ (* (* 4/3 4/3) 4/3) (* (* (sqrt (- PI (* v (* PI v)))) (sqrt (- PI (* v (* PI v))))) (sqrt (- PI (* v (* PI v)))))) (* (cbrt (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (cbrt (/ 4/3 (sqrt (- PI (* v (* PI v))))))) (cbrt (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (* (* (/ 4/3 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (sqrt (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (sqrt (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (- 4/3) (- (sqrt (- PI (* v (* PI v))))) (/ (* (cbrt 4/3) (cbrt 4/3)) (* (cbrt (sqrt (- PI (* v (* PI v))))) (cbrt (sqrt (- PI (* v (* PI v))))))) (/ (cbrt 4/3) (cbrt (sqrt (- PI (* v (* PI v)))))) (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v))))))) (/ (cbrt 4/3) (sqrt (cbrt (- PI (* v (* PI v)))))) (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (sqrt (- PI (* v (* PI v)))))) (/ (cbrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt 1)) (/ (cbrt 4/3) (sqrt (- PI (* v (* PI v))))) (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (sqrt (- PI (* v (* PI v)))))) (/ (cbrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) (/ (* (cbrt 4/3) (cbrt 4/3)) 1) (/ (cbrt 4/3) (sqrt (- PI (* v (* PI v))))) (/ (sqrt 4/3) (* (cbrt (sqrt (- PI (* v (* PI v))))) (cbrt (sqrt (- PI (* v (* PI v))))))) (/ (sqrt 4/3) (cbrt (sqrt (- PI (* v (* PI v)))))) (/ (sqrt 4/3) (sqrt (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v))))))) (/ (sqrt 4/3) (sqrt (cbrt (- PI (* v (* PI v)))))) (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) (/ (sqrt 4/3) (sqrt 1)) (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))) (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) (/ (sqrt 4/3) 1) (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))) (/ 1 (* (cbrt (sqrt (- PI (* v (* PI v))))) (cbrt (sqrt (- PI (* v (* PI v))))))) (/ 4/3 (cbrt (sqrt (- PI (* v (* PI v)))))) (/ 1 (sqrt (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v))))))) (/ 4/3 (sqrt (cbrt (- PI (* v (* PI v)))))) (/ 1 (sqrt (sqrt (- PI (* v (* PI v)))))) (/ 4/3 (sqrt (sqrt (- PI (* v (* PI v)))))) (/ 1 (sqrt 1)) (/ 4/3 (sqrt (- PI (* v (* PI v))))) (/ 1 (sqrt (sqrt (- PI (* v (* PI v)))))) (/ 4/3 (sqrt (sqrt (- PI (* v (* PI v)))))) (/ 1 1) (/ 4/3 (sqrt (- PI (* v (* PI v))))) (/ 1 (sqrt (- PI (* v (* PI v))))) (/ (sqrt (- PI (* v (* PI v)))) 4/3) (/ 4/3 (* (cbrt (sqrt (- PI (* v (* PI v))))) (cbrt (sqrt (- PI (* v (* PI v))))))) (/ 4/3 (sqrt (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v))))))) (/ 4/3 (sqrt (sqrt (- PI (* v (* PI v)))))) (/ 4/3 (sqrt 1)) (/ 4/3 (sqrt (sqrt (- PI (* v (* PI v)))))) (/ 4/3 1) (/ (sqrt (- PI (* v (* PI v)))) (cbrt 4/3)) (/ (sqrt (- PI (* v (* PI v)))) (sqrt 4/3)) (/ (sqrt (- PI (* v (* PI v)))) 4/3) (/ 4/3 (sqrt (- (pow PI 3) (pow (* v (* PI v)) 3)))) (/ 4/3 (sqrt (- (* PI PI) (* (* v (* PI v)) (* v (* PI v)))))) (real->posit16 (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (log (sqrt (- PI (* v (* PI v))))) (exp (sqrt (- PI (* v (* PI v))))) (* (cbrt (sqrt (- PI (* v (* PI v))))) (cbrt (sqrt (- PI (* v (* PI v)))))) (cbrt (sqrt (- PI (* v (* PI v))))) (* (* (sqrt (- PI (* v (* PI v)))) (sqrt (- PI (* v (* PI v))))) (sqrt (- PI (* v (* PI v))))) (sqrt (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) (sqrt (cbrt (- PI (* v (* PI v))))) (sqrt (sqrt (- PI (* v (* PI v))))) (sqrt (sqrt (- PI (* v (* PI v))))) (sqrt 1) (sqrt (- PI (* v (* PI v)))) (sqrt (- (pow PI 3) (pow (* v (* PI v)) 3))) (sqrt (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v)))))) (sqrt (- (* PI PI) (* (* v (* PI v)) (* v (* PI v))))) (sqrt (+ PI (* v (* PI v)))) (/ 1 2) (sqrt (sqrt (- PI (* v (* PI v))))) (sqrt (sqrt (- PI (* v (* PI v))))) (real->posit16 (sqrt (- PI (* v (* PI v))))) (log (sqrt (- PI (* v (* PI v))))) (exp (sqrt (- PI (* v (* PI v))))) (* (cbrt (sqrt (- PI (* v (* PI v))))) (cbrt (sqrt (- PI (* v (* PI v)))))) (cbrt (sqrt (- PI (* v (* PI v))))) (* (* (sqrt (- PI (* v (* PI v)))) (sqrt (- PI (* v (* PI v))))) (sqrt (- PI (* v (* PI v))))) (sqrt (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) (sqrt (cbrt (- PI (* v (* PI v))))) (sqrt (sqrt (- PI (* v (* PI v))))) (sqrt (sqrt (- PI (* v (* PI v))))) (sqrt 1) (sqrt (- PI (* v (* PI v)))) (sqrt (- (pow PI 3) (pow (* v (* PI v)) 3))) (sqrt (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v)))))) (sqrt (- (* PI PI) (* (* v (* PI v)) (* v (* PI v))))) (sqrt (+ PI (* v (* PI v)))) (/ 1 2) (sqrt (sqrt (- PI (* v (* PI v))))) (sqrt (sqrt (- PI (* v (* PI v))))) (real->posit16 (sqrt (- PI (* v (* PI v))))) (* PI v) (+ (log PI) (log v)) (log (* PI v)) (exp (* PI v)) (* (* (* PI PI) PI) (* (* v v) v)) (* (cbrt (* PI v)) (cbrt (* PI v))) (cbrt (* PI v)) (* (* (* PI v) (* PI v)) (* PI v)) (sqrt (* PI v)) (sqrt (* PI v)) (* (sqrt PI) (sqrt v)) (* (sqrt PI) (sqrt v)) (* PI (* (cbrt v) (cbrt v))) (* PI (sqrt v)) (* PI 1) (* (cbrt PI) v) (* (sqrt PI) v) (* PI v) (real->posit16 (* PI v)) (+ (* 1/2 (* (pow v 4) (sqrt (/ 1 PI)))) (+ (* 2/3 (* (pow v 2) (sqrt (/ 1 PI)))) (* 4/3 (sqrt (/ 1 PI))))) (- (* 4/3 (/ (sqrt (/ -1 PI)) v)) (+ (* 1/6 (/ 1 (* (pow v 5) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3))))) (+ (* 2/3 (/ 1 (* (pow v 3) (* PI (sqrt (/ -1 PI)))))) (* 2/3 (/ 1 (* (pow v 5) (* PI (sqrt (/ -1 PI))))))))) (- (+ (* 1/6 (/ 1 (* (pow v 5) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3))))) (+ (* 2/3 (/ 1 (* (pow v 3) (* PI (sqrt (/ -1 PI)))))) (* 2/3 (/ 1 (* (pow v 5) (* PI (sqrt (/ -1 PI)))))))) (* 4/3 (/ (sqrt (/ -1 PI)) v))) (- (sqrt PI) (+ (* 1/2 (* (pow v 2) (sqrt PI))) (* 1/8 (* (pow v 4) (sqrt PI))))) (- (+ (* 1/2 (/ PI (* v (sqrt (- PI))))) (* v (sqrt (- PI)))) (* 1/8 (/ (pow PI 2) (* (pow v 3) (pow (sqrt (- PI)) 3))))) (- (* 1/8 (/ (pow PI 2) (* (pow v 3) (pow (sqrt (- PI)) 3)))) (+ (* 1/2 (/ PI (* v (sqrt (- PI))))) (* v (sqrt (- PI))))) (- (sqrt PI) (+ (* 1/2 (* (pow v 2) (sqrt PI))) (* 1/8 (* (pow v 4) (sqrt PI))))) (- (+ (* 1/2 (/ PI (* v (sqrt (- PI))))) (* v (sqrt (- PI)))) (* 1/8 (/ (pow PI 2) (* (pow v 3) (pow (sqrt (- PI)) 3))))) (- (* 1/8 (/ (pow PI 2) (* (pow v 3) (pow (sqrt (- PI)) 3)))) (+ (* 1/2 (/ PI (* v (sqrt (- PI))))) (* v (sqrt (- PI))))) (* v PI) (* v PI) (* v PI) 6.080 * * [simplify]: iteration 1: (178 enodes) 6.160 * * [simplify]: iteration 2: (385 enodes) 6.314 * * [simplify]: iteration 3: (1075 enodes) 7.759 * * [simplify]: Extracting #0: cost 76 inf + 0 7.760 * * [simplify]: Extracting #1: cost 266 inf + 5 7.762 * * [simplify]: Extracting #2: cost 664 inf + 2360 7.769 * * [simplify]: Extracting #3: cost 934 inf + 17644 7.800 * * [simplify]: Extracting #4: cost 640 inf + 87724 7.863 * * [simplify]: Extracting #5: cost 217 inf + 212539 7.943 * * [simplify]: Extracting #6: cost 57 inf + 277740 8.016 * * [simplify]: Extracting #7: cost 2 inf + 304012 8.081 * * [simplify]: Extracting #8: cost 0 inf + 304729 8.158 * [simplify]: Simplified to: (log (/ 4/3 (sqrt (- PI (* (* v v) PI))))) (log (/ 4/3 (sqrt (- PI (* (* v v) PI))))) (exp (/ 4/3 (sqrt (- PI (* (* v v) PI))))) (/ (/ 64/27 (sqrt (- PI (* (* v v) PI)))) (- PI (* (* v v) PI))) (* (cbrt (/ 4/3 (sqrt (- PI (* (* v v) PI))))) (cbrt (/ 4/3 (sqrt (- PI (* (* v v) PI)))))) (cbrt (/ 4/3 (sqrt (- PI (* (* v v) PI))))) (/ (/ 64/27 (sqrt (- PI (* (* v v) PI)))) (- PI (* (* v v) PI))) (sqrt (/ 4/3 (sqrt (- PI (* (* v v) PI))))) (sqrt (/ 4/3 (sqrt (- PI (* (* v v) PI))))) -4/3 (- (sqrt (- PI (* (* v v) PI)))) (* (/ (cbrt 4/3) (cbrt (sqrt (- PI (* (* v v) PI))))) (/ (cbrt 4/3) (cbrt (sqrt (- PI (* (* v v) PI)))))) (/ (cbrt 4/3) (cbrt (sqrt (- PI (* (* v v) PI))))) (/ (* (cbrt 4/3) (cbrt 4/3)) (fabs (cbrt (- PI (* (* v v) PI))))) (/ (cbrt 4/3) (sqrt (cbrt (- PI (* (* v v) PI))))) (/ (cbrt 4/3) (/ (sqrt (sqrt (- PI (* (* v v) PI)))) (cbrt 4/3))) (/ (cbrt 4/3) (sqrt (sqrt (- PI (* (* v v) PI))))) (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (sqrt (- PI (* (* v v) PI)))) (/ (cbrt 4/3) (/ (sqrt (sqrt (- PI (* (* v v) PI)))) (cbrt 4/3))) (/ (cbrt 4/3) (sqrt (sqrt (- PI (* (* v v) PI))))) (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (sqrt (- PI (* (* v v) PI)))) (/ (sqrt 4/3) (* (cbrt (sqrt (- PI (* (* v v) PI)))) (cbrt (sqrt (- PI (* (* v v) PI)))))) (/ (sqrt 4/3) (cbrt (sqrt (- PI (* (* v v) PI))))) (/ (sqrt 4/3) (fabs (cbrt (- PI (* (* v v) PI))))) (/ (sqrt 4/3) (sqrt (cbrt (- PI (* (* v v) PI))))) (/ (sqrt 4/3) (sqrt (sqrt (- PI (* (* v v) PI))))) (/ (sqrt 4/3) (sqrt (sqrt (- PI (* (* v v) PI))))) (sqrt 4/3) (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI)))) (/ (sqrt 4/3) (sqrt (sqrt (- PI (* (* v v) PI))))) (/ (sqrt 4/3) (sqrt (sqrt (- PI (* (* v v) PI))))) (sqrt 4/3) (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI)))) (/ 1 (* (cbrt (sqrt (- PI (* (* v v) PI)))) (cbrt (sqrt (- PI (* (* v v) PI)))))) (/ 4/3 (cbrt (sqrt (- PI (* (* v v) PI))))) (/ 1 (fabs (cbrt (- PI (* (* v v) PI))))) (/ 4/3 (sqrt (cbrt (- PI (* (* v v) PI))))) (/ 1 (sqrt (sqrt (- PI (* (* v v) PI))))) (/ 4/3 (sqrt (sqrt (- PI (* (* v v) PI))))) 1 (/ 4/3 (sqrt (- PI (* (* v v) PI)))) (/ 1 (sqrt (sqrt (- PI (* (* v v) PI))))) (/ 4/3 (sqrt (sqrt (- PI (* (* v v) PI))))) 1 (/ 4/3 (sqrt (- PI (* (* v v) PI)))) (/ 1 (sqrt (- PI (* (* v v) PI)))) (/ (sqrt (- PI (* (* v v) PI))) 4/3) (/ (/ 4/3 (cbrt (sqrt (- PI (* (* v v) PI))))) (cbrt (sqrt (- PI (* (* v v) PI))))) (/ 4/3 (fabs (cbrt (- PI (* (* v v) PI))))) (/ 4/3 (sqrt (sqrt (- PI (* (* v v) PI))))) 4/3 (/ 4/3 (sqrt (sqrt (- PI (* (* v v) PI))))) 4/3 (/ (sqrt (- PI (* (* v v) PI))) (cbrt 4/3)) (/ (sqrt (- PI (* (* v v) PI))) (sqrt 4/3)) (/ (sqrt (- PI (* (* v v) PI))) 4/3) (/ 4/3 (sqrt (- (* PI (* PI PI)) (* (* (* (* v v) PI) (* (* v v) PI)) (* (* v v) PI))))) (/ 4/3 (sqrt (* (+ (* (* v v) PI) PI) (- PI (* (* v v) PI))))) (real->posit16 (/ 4/3 (sqrt (- PI (* (* v v) PI))))) (log (sqrt (- PI (* (* v v) PI)))) (exp (sqrt (- PI (* (* v v) PI)))) (* (cbrt (sqrt (- PI (* (* v v) PI)))) (cbrt (sqrt (- PI (* (* v v) PI))))) (cbrt (sqrt (- PI (* (* v v) PI)))) (* (- PI (* (* v v) PI)) (sqrt (- PI (* (* v v) PI)))) (fabs (cbrt (- PI (* (* v v) PI)))) (sqrt (cbrt (- PI (* (* v v) PI)))) (sqrt (sqrt (- PI (* (* v v) PI)))) (sqrt (sqrt (- PI (* (* v v) PI)))) 1 (sqrt (- PI (* (* v v) PI))) (sqrt (- (* PI (* PI PI)) (* (* (* (* v v) PI) (* (* v v) PI)) (* (* v v) PI)))) (sqrt (+ (* (* (* v v) PI) (+ (* (* v v) PI) PI)) (* PI PI))) (sqrt (* (+ (* (* v v) PI) PI) (- PI (* (* v v) PI)))) (sqrt (+ (* (* v v) PI) PI)) 1/2 (sqrt (sqrt (- PI (* (* v v) PI)))) (sqrt (sqrt (- PI (* (* v v) PI)))) (real->posit16 (sqrt (- PI (* (* v v) PI)))) (log (sqrt (- PI (* (* v v) PI)))) (exp (sqrt (- PI (* (* v v) PI)))) (* (cbrt (sqrt (- PI (* (* v v) PI)))) (cbrt (sqrt (- PI (* (* v v) PI))))) (cbrt (sqrt (- PI (* (* v v) PI)))) (* (- PI (* (* v v) PI)) (sqrt (- PI (* (* v v) PI)))) (fabs (cbrt (- PI (* (* v v) PI)))) (sqrt (cbrt (- PI (* (* v v) PI)))) (sqrt (sqrt (- PI (* (* v v) PI)))) (sqrt (sqrt (- PI (* (* v v) PI)))) 1 (sqrt (- PI (* (* v v) PI))) (sqrt (- (* PI (* PI PI)) (* (* (* (* v v) PI) (* (* v v) PI)) (* (* v v) PI)))) (sqrt (+ (* (* (* v v) PI) (+ (* (* v v) PI) PI)) (* PI PI))) (sqrt (* (+ (* (* v v) PI) PI) (- PI (* (* v v) PI)))) (sqrt (+ (* (* v v) PI) PI)) 1/2 (sqrt (sqrt (- PI (* (* v v) PI)))) (sqrt (sqrt (- PI (* (* v v) PI)))) (real->posit16 (sqrt (- PI (* (* v v) PI)))) (* PI v) (log (* PI v)) (log (* PI v)) (exp (* PI v)) (* (* v PI) (* (* v PI) (* v PI))) (* (cbrt (* PI v)) (cbrt (* PI v))) (cbrt (* PI v)) (* (* v PI) (* (* v PI) (* v PI))) (sqrt (* PI v)) (sqrt (* PI v)) (* (sqrt v) (sqrt PI)) (* (sqrt v) (sqrt PI)) (* (* (cbrt v) (cbrt v)) PI) (* (sqrt v) PI) PI (* (cbrt PI) v) (* v (sqrt PI)) (* PI v) (real->posit16 (* PI v)) (* (sqrt (/ 1 PI)) (+ 4/3 (* (* v v) (+ (* (* v v) 1/2) 2/3)))) (- (+ (* (/ 4/3 v) (sqrt (/ -1 PI))) (- (/ -1/6 (* (* (sqrt (/ -1 PI)) (/ -1 PI)) (* (pow v 5) (* PI PI)))) (/ 2/3 (* (* PI (sqrt (/ -1 PI))) (pow v 5))))) (/ 2/3 (* (* (* v v) (* PI v)) (sqrt (/ -1 PI))))) (- (+ (+ (/ 2/3 (* (* (* v v) (* PI v)) (sqrt (/ -1 PI)))) (/ 1/6 (* (* (sqrt (/ -1 PI)) (/ -1 PI)) (* (pow v 5) (* PI PI))))) (/ 2/3 (* (* PI (sqrt (/ -1 PI))) (pow v 5)))) (* (/ 4/3 v) (sqrt (/ -1 PI)))) (- (sqrt PI) (* (sqrt PI) (* (* v v) (+ (* 1/8 (* v v)) 1/2)))) (- (* (sqrt (- PI)) v) (- (* (/ (* (/ PI v) (/ PI v)) v) (/ 1/8 (* (sqrt (- PI)) (- PI)))) (* (/ PI (sqrt (- PI))) (/ 1/2 v)))) (+ (- (/ -1/2 (/ (* (sqrt (- PI)) v) PI)) (* (sqrt (- PI)) v)) (* (/ (* (/ PI v) (/ PI v)) v) (/ 1/8 (* (sqrt (- PI)) (- PI))))) (- (sqrt PI) (* (sqrt PI) (* (* v v) (+ (* 1/8 (* v v)) 1/2)))) (- (* (sqrt (- PI)) v) (- (* (/ (* (/ PI v) (/ PI v)) v) (/ 1/8 (* (sqrt (- PI)) (- PI)))) (* (/ PI (sqrt (- PI))) (/ 1/2 v)))) (+ (- (/ -1/2 (/ (* (sqrt (- PI)) v) PI)) (* (sqrt (- PI)) v)) (* (/ (* (/ PI v) (/ PI v)) v) (/ 1/8 (* (sqrt (- PI)) (- PI))))) (* PI v) (* PI v) (* PI v) 8.172 * * * [progress]: adding candidates to table 9.376 * * [progress]: iteration 3 / 4 9.376 * * * [progress]: picking best candidate 9.379 * * * * [pick]: Picked # 9.379 * * * [progress]: localizing error 9.431 * * * [progress]: generating rewritten candidates 9.431 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 9.444 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 9.457 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 9.504 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 9.511 * * * [progress]: generating series expansions 9.511 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 9.512 * [backup-simplify]: Simplify (/ 4/3 (- PI (* v (* PI v)))) into (/ 4/3 (- PI (* (pow v 2) PI))) 9.512 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in (v) around 0 9.512 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in v 9.512 * [taylor]: Taking taylor expansion of 4/3 in v 9.512 * [backup-simplify]: Simplify 4/3 into 4/3 9.512 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 9.512 * [taylor]: Taking taylor expansion of PI in v 9.512 * [backup-simplify]: Simplify PI into PI 9.512 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 9.512 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.512 * [taylor]: Taking taylor expansion of v in v 9.512 * [backup-simplify]: Simplify 0 into 0 9.512 * [backup-simplify]: Simplify 1 into 1 9.512 * [taylor]: Taking taylor expansion of PI in v 9.512 * [backup-simplify]: Simplify PI into PI 9.513 * [backup-simplify]: Simplify (+ PI 0) into PI 9.513 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 9.513 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in v 9.513 * [taylor]: Taking taylor expansion of 4/3 in v 9.513 * [backup-simplify]: Simplify 4/3 into 4/3 9.513 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 9.513 * [taylor]: Taking taylor expansion of PI in v 9.513 * [backup-simplify]: Simplify PI into PI 9.513 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 9.513 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.513 * [taylor]: Taking taylor expansion of v in v 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [backup-simplify]: Simplify 1 into 1 9.513 * [taylor]: Taking taylor expansion of PI in v 9.513 * [backup-simplify]: Simplify PI into PI 9.513 * [backup-simplify]: Simplify (+ PI 0) into PI 9.514 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 9.514 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 9.514 * [backup-simplify]: Simplify (+ 0 0) into 0 9.515 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 9.515 * [backup-simplify]: Simplify 0 into 0 9.515 * [backup-simplify]: Simplify (* 1 1) into 1 9.516 * [backup-simplify]: Simplify (* 1 PI) into PI 9.516 * [backup-simplify]: Simplify (- PI) into (- PI) 9.517 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.520 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) 9.521 * [backup-simplify]: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) 9.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 9.522 * [backup-simplify]: Simplify (- 0) into 0 9.523 * [backup-simplify]: Simplify (+ 0 0) into 0 9.524 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (* 4/3 (/ 1 PI)) (/ 0 PI)))) into 0 9.524 * [backup-simplify]: Simplify 0 into 0 9.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 9.525 * [backup-simplify]: Simplify (- 0) into 0 9.526 * [backup-simplify]: Simplify (+ 0 0) into 0 9.532 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (* 4/3 (/ 1 PI)) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) 9.534 * [backup-simplify]: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) 9.536 * [backup-simplify]: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) 9.536 * [backup-simplify]: Simplify (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))) into (/ 4/3 (- PI (/ PI (pow v 2)))) 9.536 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in (v) around 0 9.536 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 9.536 * [taylor]: Taking taylor expansion of 4/3 in v 9.536 * [backup-simplify]: Simplify 4/3 into 4/3 9.536 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 9.536 * [taylor]: Taking taylor expansion of PI in v 9.536 * [backup-simplify]: Simplify PI into PI 9.536 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 9.536 * [taylor]: Taking taylor expansion of PI in v 9.536 * [backup-simplify]: Simplify PI into PI 9.536 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.536 * [taylor]: Taking taylor expansion of v in v 9.536 * [backup-simplify]: Simplify 0 into 0 9.536 * [backup-simplify]: Simplify 1 into 1 9.537 * [backup-simplify]: Simplify (* 1 1) into 1 9.537 * [backup-simplify]: Simplify (/ PI 1) into PI 9.538 * [backup-simplify]: Simplify (- PI) into (- PI) 9.539 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.540 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 9.540 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 9.540 * [taylor]: Taking taylor expansion of 4/3 in v 9.540 * [backup-simplify]: Simplify 4/3 into 4/3 9.540 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 9.540 * [taylor]: Taking taylor expansion of PI in v 9.540 * [backup-simplify]: Simplify PI into PI 9.540 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 9.540 * [taylor]: Taking taylor expansion of PI in v 9.540 * [backup-simplify]: Simplify PI into PI 9.540 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.540 * [taylor]: Taking taylor expansion of v in v 9.540 * [backup-simplify]: Simplify 0 into 0 9.540 * [backup-simplify]: Simplify 1 into 1 9.540 * [backup-simplify]: Simplify (* 1 1) into 1 9.541 * [backup-simplify]: Simplify (/ PI 1) into PI 9.541 * [backup-simplify]: Simplify (- PI) into (- PI) 9.542 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.543 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 9.544 * [backup-simplify]: Simplify (/ -4/3 PI) into (/ -4/3 PI) 9.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.545 * [backup-simplify]: Simplify (- 0) into 0 9.546 * [backup-simplify]: Simplify (+ 0 0) into 0 9.547 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 9.547 * [backup-simplify]: Simplify 0 into 0 9.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.550 * [backup-simplify]: Simplify (- 0) into 0 9.550 * [backup-simplify]: Simplify (+ PI 0) into PI 9.557 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 9.559 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 9.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.560 * [backup-simplify]: Simplify (- 0) into 0 9.560 * [backup-simplify]: Simplify (+ 0 0) into 0 9.562 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 9.562 * [backup-simplify]: Simplify 0 into 0 9.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.564 * [backup-simplify]: Simplify (- 0) into 0 9.564 * [backup-simplify]: Simplify (+ 0 0) into 0 9.573 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 9.574 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 9.577 * [backup-simplify]: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) 9.577 * [backup-simplify]: Simplify (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) into (/ 4/3 (- PI (/ PI (pow v 2)))) 9.577 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in (v) around 0 9.577 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 9.577 * [taylor]: Taking taylor expansion of 4/3 in v 9.577 * [backup-simplify]: Simplify 4/3 into 4/3 9.577 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 9.577 * [taylor]: Taking taylor expansion of PI in v 9.577 * [backup-simplify]: Simplify PI into PI 9.577 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 9.577 * [taylor]: Taking taylor expansion of PI in v 9.577 * [backup-simplify]: Simplify PI into PI 9.577 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.577 * [taylor]: Taking taylor expansion of v in v 9.577 * [backup-simplify]: Simplify 0 into 0 9.577 * [backup-simplify]: Simplify 1 into 1 9.578 * [backup-simplify]: Simplify (* 1 1) into 1 9.578 * [backup-simplify]: Simplify (/ PI 1) into PI 9.578 * [backup-simplify]: Simplify (- PI) into (- PI) 9.579 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.580 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 9.580 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 9.580 * [taylor]: Taking taylor expansion of 4/3 in v 9.580 * [backup-simplify]: Simplify 4/3 into 4/3 9.580 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 9.580 * [taylor]: Taking taylor expansion of PI in v 9.580 * [backup-simplify]: Simplify PI into PI 9.580 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 9.580 * [taylor]: Taking taylor expansion of PI in v 9.580 * [backup-simplify]: Simplify PI into PI 9.580 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.580 * [taylor]: Taking taylor expansion of v in v 9.580 * [backup-simplify]: Simplify 0 into 0 9.580 * [backup-simplify]: Simplify 1 into 1 9.580 * [backup-simplify]: Simplify (* 1 1) into 1 9.580 * [backup-simplify]: Simplify (/ PI 1) into PI 9.581 * [backup-simplify]: Simplify (- PI) into (- PI) 9.581 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.582 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 9.582 * [backup-simplify]: Simplify (/ -4/3 PI) into (/ -4/3 PI) 9.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.583 * [backup-simplify]: Simplify (- 0) into 0 9.584 * [backup-simplify]: Simplify (+ 0 0) into 0 9.584 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 9.584 * [backup-simplify]: Simplify 0 into 0 9.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.586 * [backup-simplify]: Simplify (- 0) into 0 9.586 * [backup-simplify]: Simplify (+ PI 0) into PI 9.592 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 9.594 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 9.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.601 * [backup-simplify]: Simplify (- 0) into 0 9.602 * [backup-simplify]: Simplify (+ 0 0) into 0 9.604 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 9.604 * [backup-simplify]: Simplify 0 into 0 9.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.608 * [backup-simplify]: Simplify (- 0) into 0 9.608 * [backup-simplify]: Simplify (+ 0 0) into 0 9.621 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 9.623 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 9.627 * [backup-simplify]: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) 9.627 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 9.627 * [backup-simplify]: Simplify (/ 4/3 (- PI (* v (* PI v)))) into (/ 4/3 (- PI (* (pow v 2) PI))) 9.627 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in (v) around 0 9.627 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in v 9.628 * [taylor]: Taking taylor expansion of 4/3 in v 9.628 * [backup-simplify]: Simplify 4/3 into 4/3 9.628 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 9.628 * [taylor]: Taking taylor expansion of PI in v 9.628 * [backup-simplify]: Simplify PI into PI 9.628 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 9.628 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.628 * [taylor]: Taking taylor expansion of v in v 9.628 * [backup-simplify]: Simplify 0 into 0 9.628 * [backup-simplify]: Simplify 1 into 1 9.628 * [taylor]: Taking taylor expansion of PI in v 9.628 * [backup-simplify]: Simplify PI into PI 9.629 * [backup-simplify]: Simplify (+ PI 0) into PI 9.629 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 9.629 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in v 9.629 * [taylor]: Taking taylor expansion of 4/3 in v 9.629 * [backup-simplify]: Simplify 4/3 into 4/3 9.629 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 9.629 * [taylor]: Taking taylor expansion of PI in v 9.629 * [backup-simplify]: Simplify PI into PI 9.629 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 9.629 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.629 * [taylor]: Taking taylor expansion of v in v 9.629 * [backup-simplify]: Simplify 0 into 0 9.629 * [backup-simplify]: Simplify 1 into 1 9.630 * [taylor]: Taking taylor expansion of PI in v 9.630 * [backup-simplify]: Simplify PI into PI 9.630 * [backup-simplify]: Simplify (+ PI 0) into PI 9.630 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 9.631 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 9.631 * [backup-simplify]: Simplify (+ 0 0) into 0 9.632 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 9.633 * [backup-simplify]: Simplify 0 into 0 9.633 * [backup-simplify]: Simplify (* 1 1) into 1 9.633 * [backup-simplify]: Simplify (* 1 PI) into PI 9.634 * [backup-simplify]: Simplify (- PI) into (- PI) 9.635 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.641 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) 9.642 * [backup-simplify]: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) 9.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 9.644 * [backup-simplify]: Simplify (- 0) into 0 9.644 * [backup-simplify]: Simplify (+ 0 0) into 0 9.647 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (* 4/3 (/ 1 PI)) (/ 0 PI)))) into 0 9.647 * [backup-simplify]: Simplify 0 into 0 9.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 9.649 * [backup-simplify]: Simplify (- 0) into 0 9.650 * [backup-simplify]: Simplify (+ 0 0) into 0 9.659 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (* 4/3 (/ 1 PI)) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) 9.661 * [backup-simplify]: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) 9.662 * [backup-simplify]: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) 9.663 * [backup-simplify]: Simplify (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))) into (/ 4/3 (- PI (/ PI (pow v 2)))) 9.663 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in (v) around 0 9.663 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 9.663 * [taylor]: Taking taylor expansion of 4/3 in v 9.663 * [backup-simplify]: Simplify 4/3 into 4/3 9.663 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 9.663 * [taylor]: Taking taylor expansion of PI in v 9.663 * [backup-simplify]: Simplify PI into PI 9.663 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 9.663 * [taylor]: Taking taylor expansion of PI in v 9.663 * [backup-simplify]: Simplify PI into PI 9.663 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.663 * [taylor]: Taking taylor expansion of v in v 9.663 * [backup-simplify]: Simplify 0 into 0 9.663 * [backup-simplify]: Simplify 1 into 1 9.663 * [backup-simplify]: Simplify (* 1 1) into 1 9.664 * [backup-simplify]: Simplify (/ PI 1) into PI 9.664 * [backup-simplify]: Simplify (- PI) into (- PI) 9.665 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.666 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 9.666 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 9.666 * [taylor]: Taking taylor expansion of 4/3 in v 9.666 * [backup-simplify]: Simplify 4/3 into 4/3 9.666 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 9.666 * [taylor]: Taking taylor expansion of PI in v 9.666 * [backup-simplify]: Simplify PI into PI 9.666 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 9.666 * [taylor]: Taking taylor expansion of PI in v 9.666 * [backup-simplify]: Simplify PI into PI 9.666 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.666 * [taylor]: Taking taylor expansion of v in v 9.666 * [backup-simplify]: Simplify 0 into 0 9.666 * [backup-simplify]: Simplify 1 into 1 9.667 * [backup-simplify]: Simplify (* 1 1) into 1 9.667 * [backup-simplify]: Simplify (/ PI 1) into PI 9.668 * [backup-simplify]: Simplify (- PI) into (- PI) 9.669 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.670 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 9.670 * [backup-simplify]: Simplify (/ -4/3 PI) into (/ -4/3 PI) 9.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.672 * [backup-simplify]: Simplify (- 0) into 0 9.672 * [backup-simplify]: Simplify (+ 0 0) into 0 9.674 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 9.674 * [backup-simplify]: Simplify 0 into 0 9.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.676 * [backup-simplify]: Simplify (- 0) into 0 9.676 * [backup-simplify]: Simplify (+ PI 0) into PI 9.683 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 9.685 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 9.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.688 * [backup-simplify]: Simplify (- 0) into 0 9.688 * [backup-simplify]: Simplify (+ 0 0) into 0 9.691 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 9.691 * [backup-simplify]: Simplify 0 into 0 9.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.694 * [backup-simplify]: Simplify (- 0) into 0 9.695 * [backup-simplify]: Simplify (+ 0 0) into 0 9.707 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 9.709 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 9.712 * [backup-simplify]: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) 9.712 * [backup-simplify]: Simplify (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) into (/ 4/3 (- PI (/ PI (pow v 2)))) 9.713 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in (v) around 0 9.713 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 9.713 * [taylor]: Taking taylor expansion of 4/3 in v 9.713 * [backup-simplify]: Simplify 4/3 into 4/3 9.713 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 9.713 * [taylor]: Taking taylor expansion of PI in v 9.713 * [backup-simplify]: Simplify PI into PI 9.713 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 9.713 * [taylor]: Taking taylor expansion of PI in v 9.713 * [backup-simplify]: Simplify PI into PI 9.713 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.713 * [taylor]: Taking taylor expansion of v in v 9.713 * [backup-simplify]: Simplify 0 into 0 9.713 * [backup-simplify]: Simplify 1 into 1 9.713 * [backup-simplify]: Simplify (* 1 1) into 1 9.713 * [backup-simplify]: Simplify (/ PI 1) into PI 9.714 * [backup-simplify]: Simplify (- PI) into (- PI) 9.715 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.715 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 9.715 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 9.715 * [taylor]: Taking taylor expansion of 4/3 in v 9.715 * [backup-simplify]: Simplify 4/3 into 4/3 9.715 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 9.715 * [taylor]: Taking taylor expansion of PI in v 9.715 * [backup-simplify]: Simplify PI into PI 9.715 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 9.715 * [taylor]: Taking taylor expansion of PI in v 9.715 * [backup-simplify]: Simplify PI into PI 9.715 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.715 * [taylor]: Taking taylor expansion of v in v 9.716 * [backup-simplify]: Simplify 0 into 0 9.716 * [backup-simplify]: Simplify 1 into 1 9.716 * [backup-simplify]: Simplify (* 1 1) into 1 9.716 * [backup-simplify]: Simplify (/ PI 1) into PI 9.716 * [backup-simplify]: Simplify (- PI) into (- PI) 9.717 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.718 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 9.718 * [backup-simplify]: Simplify (/ -4/3 PI) into (/ -4/3 PI) 9.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.719 * [backup-simplify]: Simplify (- 0) into 0 9.720 * [backup-simplify]: Simplify (+ 0 0) into 0 9.720 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 9.720 * [backup-simplify]: Simplify 0 into 0 9.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.722 * [backup-simplify]: Simplify (- 0) into 0 9.722 * [backup-simplify]: Simplify (+ PI 0) into PI 9.726 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 9.727 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 9.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.729 * [backup-simplify]: Simplify (- 0) into 0 9.729 * [backup-simplify]: Simplify (+ 0 0) into 0 9.731 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 9.731 * [backup-simplify]: Simplify 0 into 0 9.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.733 * [backup-simplify]: Simplify (- 0) into 0 9.734 * [backup-simplify]: Simplify (+ 0 0) into 0 9.743 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 9.744 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 9.747 * [backup-simplify]: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) 9.747 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 9.747 * [backup-simplify]: Simplify (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) into (/ (pow (sqrt 4/3) 2) (- PI (* (pow v 2) PI))) 9.747 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 4/3) 2) (- PI (* (pow v 2) PI))) in (v) around 0 9.747 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 4/3) 2) (- PI (* (pow v 2) PI))) in v 9.748 * [taylor]: Taking taylor expansion of (pow (sqrt 4/3) 2) in v 9.748 * [taylor]: Taking taylor expansion of (sqrt 4/3) in v 9.748 * [taylor]: Taking taylor expansion of 4/3 in v 9.748 * [backup-simplify]: Simplify 4/3 into 4/3 9.748 * [backup-simplify]: Simplify (sqrt 4/3) into (sqrt 4/3) 9.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4/3))) into 0 9.748 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 9.748 * [taylor]: Taking taylor expansion of PI in v 9.748 * [backup-simplify]: Simplify PI into PI 9.748 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 9.748 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.748 * [taylor]: Taking taylor expansion of v in v 9.748 * [backup-simplify]: Simplify 0 into 0 9.748 * [backup-simplify]: Simplify 1 into 1 9.748 * [taylor]: Taking taylor expansion of PI in v 9.748 * [backup-simplify]: Simplify PI into PI 9.749 * [backup-simplify]: Simplify (* (sqrt 4/3) (sqrt 4/3)) into (pow (sqrt 4/3) 2) 9.749 * [backup-simplify]: Simplify (+ PI 0) into PI 9.751 * [backup-simplify]: Simplify (/ (pow (sqrt 4/3) 2) PI) into (/ (pow (sqrt 4/3) 2) PI) 9.751 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 4/3) 2) (- PI (* (pow v 2) PI))) in v 9.751 * [taylor]: Taking taylor expansion of (pow (sqrt 4/3) 2) in v 9.751 * [taylor]: Taking taylor expansion of (sqrt 4/3) in v 9.751 * [taylor]: Taking taylor expansion of 4/3 in v 9.751 * [backup-simplify]: Simplify 4/3 into 4/3 9.751 * [backup-simplify]: Simplify (sqrt 4/3) into (sqrt 4/3) 9.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4/3))) into 0 9.752 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 9.752 * [taylor]: Taking taylor expansion of PI in v 9.752 * [backup-simplify]: Simplify PI into PI 9.752 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 9.752 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.752 * [taylor]: Taking taylor expansion of v in v 9.752 * [backup-simplify]: Simplify 0 into 0 9.752 * [backup-simplify]: Simplify 1 into 1 9.752 * [taylor]: Taking taylor expansion of PI in v 9.752 * [backup-simplify]: Simplify PI into PI 9.752 * [backup-simplify]: Simplify (* (sqrt 4/3) (sqrt 4/3)) into (pow (sqrt 4/3) 2) 9.753 * [backup-simplify]: Simplify (+ PI 0) into PI 9.754 * [backup-simplify]: Simplify (/ (pow (sqrt 4/3) 2) PI) into (/ (pow (sqrt 4/3) 2) PI) 9.755 * [backup-simplify]: Simplify (/ (pow (sqrt 4/3) 2) PI) into (/ (pow (sqrt 4/3) 2) PI) 9.756 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (* 0 (sqrt 4/3))) into 0 9.756 * [backup-simplify]: Simplify (+ 0 0) into 0 9.758 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ (pow (sqrt 4/3) 2) PI) (/ 0 PI)))) into 0 9.758 * [backup-simplify]: Simplify 0 into 0 9.759 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4/3))) into 0 9.760 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (+ (* 0 0) (* 0 (sqrt 4/3)))) into 0 9.761 * [backup-simplify]: Simplify (* 1 1) into 1 9.761 * [backup-simplify]: Simplify (* 1 PI) into PI 9.762 * [backup-simplify]: Simplify (- PI) into (- PI) 9.763 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.772 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ (pow (sqrt 4/3) 2) PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (/ (pow (sqrt 4/3) 2) PI) 9.774 * [backup-simplify]: Simplify (/ (pow (sqrt 4/3) 2) PI) into (/ (pow (sqrt 4/3) 2) PI) 9.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4/3))) into 0 9.777 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 4/3))))) into 0 9.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 9.780 * [backup-simplify]: Simplify (- 0) into 0 9.780 * [backup-simplify]: Simplify (+ 0 0) into 0 9.783 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ (pow (sqrt 4/3) 2) PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (/ (pow (sqrt 4/3) 2) PI) (/ 0 PI)))) into 0 9.783 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 4/3))) into 0 9.786 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 4/3)))))) into 0 9.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 9.789 * [backup-simplify]: Simplify (- 0) into 0 9.789 * [backup-simplify]: Simplify (+ 0 0) into 0 9.801 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ (pow (sqrt 4/3) 2) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ (pow (sqrt 4/3) 2) PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (/ (pow (sqrt 4/3) 2) PI) 9.803 * [backup-simplify]: Simplify (/ (pow (sqrt 4/3) 2) PI) into (/ (pow (sqrt 4/3) 2) PI) 9.809 * [backup-simplify]: Simplify (+ (* (/ (pow (sqrt 4/3) 2) PI) (pow v 4)) (+ (* (/ (pow (sqrt 4/3) 2) PI) (pow v 2)) (/ (pow (sqrt 4/3) 2) PI))) into (+ (/ (* (pow (sqrt 4/3) 2) (pow v 2)) PI) (+ (/ (pow (sqrt 4/3) 2) PI) (/ (* (pow (sqrt 4/3) 2) (pow v 4)) PI))) 9.810 * [backup-simplify]: Simplify (* (sqrt (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v)))))) (sqrt (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))))) into (/ (pow (sqrt 4/3) 2) (- PI (/ PI (pow v 2)))) 9.810 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 4/3) 2) (- PI (/ PI (pow v 2)))) in (v) around 0 9.810 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 4/3) 2) (- PI (/ PI (pow v 2)))) in v 9.810 * [taylor]: Taking taylor expansion of (pow (sqrt 4/3) 2) in v 9.810 * [taylor]: Taking taylor expansion of (sqrt 4/3) in v 9.810 * [taylor]: Taking taylor expansion of 4/3 in v 9.810 * [backup-simplify]: Simplify 4/3 into 4/3 9.810 * [backup-simplify]: Simplify (sqrt 4/3) into (sqrt 4/3) 9.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4/3))) into 0 9.811 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 9.811 * [taylor]: Taking taylor expansion of PI in v 9.811 * [backup-simplify]: Simplify PI into PI 9.811 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 9.811 * [taylor]: Taking taylor expansion of PI in v 9.811 * [backup-simplify]: Simplify PI into PI 9.811 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.811 * [taylor]: Taking taylor expansion of v in v 9.811 * [backup-simplify]: Simplify 0 into 0 9.811 * [backup-simplify]: Simplify 1 into 1 9.812 * [backup-simplify]: Simplify (* 1 1) into 1 9.812 * [backup-simplify]: Simplify (/ PI 1) into PI 9.814 * [backup-simplify]: Simplify (* (sqrt 4/3) (sqrt 4/3)) into (pow (sqrt 4/3) 2) 9.814 * [backup-simplify]: Simplify (- PI) into (- PI) 9.815 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.818 * [backup-simplify]: Simplify (/ (pow (sqrt 4/3) 2) (- PI)) into (* -1 (/ (pow (sqrt 4/3) 2) PI)) 9.818 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 4/3) 2) (- PI (/ PI (pow v 2)))) in v 9.818 * [taylor]: Taking taylor expansion of (pow (sqrt 4/3) 2) in v 9.818 * [taylor]: Taking taylor expansion of (sqrt 4/3) in v 9.818 * [taylor]: Taking taylor expansion of 4/3 in v 9.818 * [backup-simplify]: Simplify 4/3 into 4/3 9.818 * [backup-simplify]: Simplify (sqrt 4/3) into (sqrt 4/3) 9.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4/3))) into 0 9.819 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 9.819 * [taylor]: Taking taylor expansion of PI in v 9.819 * [backup-simplify]: Simplify PI into PI 9.819 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 9.819 * [taylor]: Taking taylor expansion of PI in v 9.819 * [backup-simplify]: Simplify PI into PI 9.819 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.819 * [taylor]: Taking taylor expansion of v in v 9.819 * [backup-simplify]: Simplify 0 into 0 9.819 * [backup-simplify]: Simplify 1 into 1 9.820 * [backup-simplify]: Simplify (* 1 1) into 1 9.820 * [backup-simplify]: Simplify (/ PI 1) into PI 9.822 * [backup-simplify]: Simplify (* (sqrt 4/3) (sqrt 4/3)) into (pow (sqrt 4/3) 2) 9.822 * [backup-simplify]: Simplify (- PI) into (- PI) 9.823 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.825 * [backup-simplify]: Simplify (/ (pow (sqrt 4/3) 2) (- PI)) into (* -1 (/ (pow (sqrt 4/3) 2) PI)) 9.828 * [backup-simplify]: Simplify (* -1 (/ (pow (sqrt 4/3) 2) PI)) into (* -1 (/ (pow (sqrt 4/3) 2) PI)) 9.829 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (* 0 (sqrt 4/3))) into 0 9.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.831 * [backup-simplify]: Simplify (- 0) into 0 9.832 * [backup-simplify]: Simplify (+ 0 0) into 0 9.834 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (* -1 (/ (pow (sqrt 4/3) 2) PI)) (/ 0 (- PI))))) into 0 9.834 * [backup-simplify]: Simplify 0 into 0 9.836 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4/3))) into 0 9.837 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (+ (* 0 0) (* 0 (sqrt 4/3)))) into 0 9.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.840 * [backup-simplify]: Simplify (- 0) into 0 9.841 * [backup-simplify]: Simplify (+ PI 0) into PI 9.853 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (* -1 (/ (pow (sqrt 4/3) 2) PI)) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ (pow (sqrt 4/3) 2) PI)) 9.856 * [backup-simplify]: Simplify (- (/ (pow (sqrt 4/3) 2) PI)) into (- (/ (pow (sqrt 4/3) 2) PI)) 9.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4/3))) into 0 9.859 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 4/3))))) into 0 9.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.862 * [backup-simplify]: Simplify (- 0) into 0 9.862 * [backup-simplify]: Simplify (+ 0 0) into 0 9.866 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (* -1 (/ (pow (sqrt 4/3) 2) PI)) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (/ (pow (sqrt 4/3) 2) PI)) (/ 0 (- PI))))) into 0 9.866 * [backup-simplify]: Simplify 0 into 0 9.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 4/3))) into 0 9.869 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 4/3)))))) into 0 9.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.872 * [backup-simplify]: Simplify (- 0) into 0 9.872 * [backup-simplify]: Simplify (+ 0 0) into 0 9.884 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (* -1 (/ (pow (sqrt 4/3) 2) PI)) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (/ (pow (sqrt 4/3) 2) PI)) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ (pow (sqrt 4/3) 2) PI)) 9.886 * [backup-simplify]: Simplify (- (/ (pow (sqrt 4/3) 2) PI)) into (- (/ (pow (sqrt 4/3) 2) PI)) 9.891 * [backup-simplify]: Simplify (+ (* (- (/ (pow (sqrt 4/3) 2) PI)) (pow (/ 1 v) 6)) (+ (* (- (/ (pow (sqrt 4/3) 2) PI)) (pow (/ 1 v) 4)) (* (* -1 (/ (pow (sqrt 4/3) 2) PI)) (pow (/ 1 v) 2)))) into (- (+ (/ (pow (sqrt 4/3) 2) (* (pow v 4) PI)) (+ (/ (pow (sqrt 4/3) 2) (* (pow v 6) PI)) (/ (pow (sqrt 4/3) 2) (* (pow v 2) PI))))) 9.891 * [backup-simplify]: Simplify (* (sqrt (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))))) (sqrt (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))))) into (/ (pow (sqrt 4/3) 2) (- PI (/ PI (pow v 2)))) 9.891 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 4/3) 2) (- PI (/ PI (pow v 2)))) in (v) around 0 9.891 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 4/3) 2) (- PI (/ PI (pow v 2)))) in v 9.891 * [taylor]: Taking taylor expansion of (pow (sqrt 4/3) 2) in v 9.891 * [taylor]: Taking taylor expansion of (sqrt 4/3) in v 9.891 * [taylor]: Taking taylor expansion of 4/3 in v 9.891 * [backup-simplify]: Simplify 4/3 into 4/3 9.892 * [backup-simplify]: Simplify (sqrt 4/3) into (sqrt 4/3) 9.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4/3))) into 0 9.892 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 9.892 * [taylor]: Taking taylor expansion of PI in v 9.892 * [backup-simplify]: Simplify PI into PI 9.892 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 9.892 * [taylor]: Taking taylor expansion of PI in v 9.892 * [backup-simplify]: Simplify PI into PI 9.892 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.892 * [taylor]: Taking taylor expansion of v in v 9.892 * [backup-simplify]: Simplify 0 into 0 9.892 * [backup-simplify]: Simplify 1 into 1 9.892 * [backup-simplify]: Simplify (* 1 1) into 1 9.893 * [backup-simplify]: Simplify (/ PI 1) into PI 9.893 * [backup-simplify]: Simplify (* (sqrt 4/3) (sqrt 4/3)) into (pow (sqrt 4/3) 2) 9.894 * [backup-simplify]: Simplify (- PI) into (- PI) 9.894 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.896 * [backup-simplify]: Simplify (/ (pow (sqrt 4/3) 2) (- PI)) into (* -1 (/ (pow (sqrt 4/3) 2) PI)) 9.896 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 4/3) 2) (- PI (/ PI (pow v 2)))) in v 9.896 * [taylor]: Taking taylor expansion of (pow (sqrt 4/3) 2) in v 9.896 * [taylor]: Taking taylor expansion of (sqrt 4/3) in v 9.896 * [taylor]: Taking taylor expansion of 4/3 in v 9.896 * [backup-simplify]: Simplify 4/3 into 4/3 9.896 * [backup-simplify]: Simplify (sqrt 4/3) into (sqrt 4/3) 9.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4/3))) into 0 9.897 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 9.897 * [taylor]: Taking taylor expansion of PI in v 9.897 * [backup-simplify]: Simplify PI into PI 9.897 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 9.897 * [taylor]: Taking taylor expansion of PI in v 9.897 * [backup-simplify]: Simplify PI into PI 9.897 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.897 * [taylor]: Taking taylor expansion of v in v 9.897 * [backup-simplify]: Simplify 0 into 0 9.897 * [backup-simplify]: Simplify 1 into 1 9.897 * [backup-simplify]: Simplify (* 1 1) into 1 9.897 * [backup-simplify]: Simplify (/ PI 1) into PI 9.898 * [backup-simplify]: Simplify (* (sqrt 4/3) (sqrt 4/3)) into (pow (sqrt 4/3) 2) 9.898 * [backup-simplify]: Simplify (- PI) into (- PI) 9.899 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.901 * [backup-simplify]: Simplify (/ (pow (sqrt 4/3) 2) (- PI)) into (* -1 (/ (pow (sqrt 4/3) 2) PI)) 9.903 * [backup-simplify]: Simplify (* -1 (/ (pow (sqrt 4/3) 2) PI)) into (* -1 (/ (pow (sqrt 4/3) 2) PI)) 9.904 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (* 0 (sqrt 4/3))) into 0 9.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.906 * [backup-simplify]: Simplify (- 0) into 0 9.906 * [backup-simplify]: Simplify (+ 0 0) into 0 9.908 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (* -1 (/ (pow (sqrt 4/3) 2) PI)) (/ 0 (- PI))))) into 0 9.908 * [backup-simplify]: Simplify 0 into 0 9.909 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4/3))) into 0 9.911 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (+ (* 0 0) (* 0 (sqrt 4/3)))) into 0 9.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.913 * [backup-simplify]: Simplify (- 0) into 0 9.914 * [backup-simplify]: Simplify (+ PI 0) into PI 9.926 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (* -1 (/ (pow (sqrt 4/3) 2) PI)) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ (pow (sqrt 4/3) 2) PI)) 9.929 * [backup-simplify]: Simplify (- (/ (pow (sqrt 4/3) 2) PI)) into (- (/ (pow (sqrt 4/3) 2) PI)) 9.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4/3))) into 0 9.931 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 4/3))))) into 0 9.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.934 * [backup-simplify]: Simplify (- 0) into 0 9.935 * [backup-simplify]: Simplify (+ 0 0) into 0 9.937 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (* -1 (/ (pow (sqrt 4/3) 2) PI)) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (/ (pow (sqrt 4/3) 2) PI)) (/ 0 (- PI))))) into 0 9.938 * [backup-simplify]: Simplify 0 into 0 9.939 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 4/3))) into 0 9.940 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 4/3)))))) into 0 9.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.943 * [backup-simplify]: Simplify (- 0) into 0 9.943 * [backup-simplify]: Simplify (+ 0 0) into 0 9.958 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (* -1 (/ (pow (sqrt 4/3) 2) PI)) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (/ (pow (sqrt 4/3) 2) PI)) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ (pow (sqrt 4/3) 2) PI)) 9.960 * [backup-simplify]: Simplify (- (/ (pow (sqrt 4/3) 2) PI)) into (- (/ (pow (sqrt 4/3) 2) PI)) 9.968 * [backup-simplify]: Simplify (+ (* (- (/ (pow (sqrt 4/3) 2) PI)) (pow (/ 1 (- v)) 6)) (+ (* (- (/ (pow (sqrt 4/3) 2) PI)) (pow (/ 1 (- v)) 4)) (* (* -1 (/ (pow (sqrt 4/3) 2) PI)) (pow (/ 1 (- v)) 2)))) into (- (+ (/ (pow (sqrt 4/3) 2) (* (pow v 4) PI)) (+ (/ (pow (sqrt 4/3) 2) (* (pow v 6) PI)) (/ (pow (sqrt 4/3) 2) (* (pow v 2) PI))))) 9.968 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 9.968 * [backup-simplify]: Simplify (sqrt (/ 4/3 (- PI (* v (* PI v))))) into (* (sqrt 4/3) (sqrt (/ 1 (- PI (* (pow v 2) PI))))) 9.968 * [approximate]: Taking taylor expansion of (* (sqrt 4/3) (sqrt (/ 1 (- PI (* (pow v 2) PI))))) in (v) around 0 9.968 * [taylor]: Taking taylor expansion of (* (sqrt 4/3) (sqrt (/ 1 (- PI (* (pow v 2) PI))))) in v 9.968 * [taylor]: Taking taylor expansion of (sqrt 4/3) in v 9.968 * [taylor]: Taking taylor expansion of 4/3 in v 9.968 * [backup-simplify]: Simplify 4/3 into 4/3 9.969 * [backup-simplify]: Simplify (sqrt 4/3) into (sqrt 4/3) 9.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4/3))) into 0 9.969 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (* (pow v 2) PI)))) in v 9.969 * [taylor]: Taking taylor expansion of (/ 1 (- PI (* (pow v 2) PI))) in v 9.969 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 9.969 * [taylor]: Taking taylor expansion of PI in v 9.969 * [backup-simplify]: Simplify PI into PI 9.969 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 9.969 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.969 * [taylor]: Taking taylor expansion of v in v 9.970 * [backup-simplify]: Simplify 0 into 0 9.970 * [backup-simplify]: Simplify 1 into 1 9.970 * [taylor]: Taking taylor expansion of PI in v 9.970 * [backup-simplify]: Simplify PI into PI 9.970 * [backup-simplify]: Simplify (+ PI 0) into PI 9.971 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 9.972 * [backup-simplify]: Simplify (sqrt (/ 1 PI)) into (sqrt (/ 1 PI)) 9.972 * [backup-simplify]: Simplify (+ 0 0) into 0 9.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 9.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 PI)))) into 0 9.974 * [taylor]: Taking taylor expansion of (* (sqrt 4/3) (sqrt (/ 1 (- PI (* (pow v 2) PI))))) in v 9.974 * [taylor]: Taking taylor expansion of (sqrt 4/3) in v 9.974 * [taylor]: Taking taylor expansion of 4/3 in v 9.974 * [backup-simplify]: Simplify 4/3 into 4/3 9.974 * [backup-simplify]: Simplify (sqrt 4/3) into (sqrt 4/3) 9.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4/3))) into 0 9.975 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (* (pow v 2) PI)))) in v 9.975 * [taylor]: Taking taylor expansion of (/ 1 (- PI (* (pow v 2) PI))) in v 9.975 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 9.975 * [taylor]: Taking taylor expansion of PI in v 9.975 * [backup-simplify]: Simplify PI into PI 9.975 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 9.975 * [taylor]: Taking taylor expansion of (pow v 2) in v 9.975 * [taylor]: Taking taylor expansion of v in v 9.975 * [backup-simplify]: Simplify 0 into 0 9.975 * [backup-simplify]: Simplify 1 into 1 9.975 * [taylor]: Taking taylor expansion of PI in v 9.975 * [backup-simplify]: Simplify PI into PI 9.976 * [backup-simplify]: Simplify (+ PI 0) into PI 9.976 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 9.977 * [backup-simplify]: Simplify (sqrt (/ 1 PI)) into (sqrt (/ 1 PI)) 9.978 * [backup-simplify]: Simplify (+ 0 0) into 0 9.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 9.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 PI)))) into 0 9.982 * [backup-simplify]: Simplify (* (sqrt 4/3) (sqrt (/ 1 PI))) into (* (sqrt 4/3) (sqrt (/ 1 PI))) 9.984 * [backup-simplify]: Simplify (* (sqrt 4/3) (sqrt (/ 1 PI))) into (* (sqrt 4/3) (sqrt (/ 1 PI))) 9.985 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (* 0 (sqrt (/ 1 PI)))) into 0 9.985 * [backup-simplify]: Simplify 0 into 0 9.986 * [backup-simplify]: Simplify (* 1 1) into 1 9.986 * [backup-simplify]: Simplify (* 1 PI) into PI 9.986 * [backup-simplify]: Simplify (- PI) into (- PI) 9.987 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) 9.997 * [backup-simplify]: Simplify (/ (- (/ 1 PI) (pow 0 2) (+)) (* 2 (sqrt (/ 1 PI)))) into (* 1/2 (sqrt (/ 1 PI))) 9.998 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4/3))) into 0 10.006 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) (* 1/2 (sqrt (/ 1 PI)))) (+ (* 0 0) (* 0 (sqrt (/ 1 PI))))) into (* 1/2 (* (sqrt 4/3) (sqrt (/ 1 PI)))) 10.009 * [backup-simplify]: Simplify (* 1/2 (* (sqrt 4/3) (sqrt (/ 1 PI)))) into (* 1/2 (* (sqrt 4/3) (sqrt (/ 1 PI)))) 10.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 10.015 * [backup-simplify]: Simplify (- 0) into 0 10.015 * [backup-simplify]: Simplify (+ 0 0) into 0 10.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 10.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (sqrt (/ 1 PI))))))) (* 2 (sqrt (/ 1 PI)))) into 0 10.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4/3))) into 0 10.023 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (+ (* 0 (* 1/2 (sqrt (/ 1 PI)))) (+ (* 0 0) (* 0 (sqrt (/ 1 PI)))))) into 0 10.023 * [backup-simplify]: Simplify 0 into 0 10.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 10.026 * [backup-simplify]: Simplify (- 0) into 0 10.026 * [backup-simplify]: Simplify (+ 0 0) into 0 10.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) 10.043 * [backup-simplify]: Simplify (/ (- (/ 1 PI) (pow (* 1/2 (sqrt (/ 1 PI))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 PI)))) into (* 3/8 (sqrt (/ 1 PI))) 10.044 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 4/3))) into 0 10.053 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) (* 3/8 (sqrt (/ 1 PI)))) (+ (* 0 0) (+ (* 0 (* 1/2 (sqrt (/ 1 PI)))) (+ (* 0 0) (* 0 (sqrt (/ 1 PI))))))) into (* 3/8 (* (sqrt 4/3) (sqrt (/ 1 PI)))) 10.057 * [backup-simplify]: Simplify (* 3/8 (* (sqrt 4/3) (sqrt (/ 1 PI)))) into (* 3/8 (* (sqrt 4/3) (sqrt (/ 1 PI)))) 10.065 * [backup-simplify]: Simplify (+ (* (* 3/8 (* (sqrt 4/3) (sqrt (/ 1 PI)))) (pow v 4)) (+ (* (* 1/2 (* (sqrt 4/3) (sqrt (/ 1 PI)))) (pow v 2)) (* (sqrt 4/3) (sqrt (/ 1 PI))))) into (+ (* 1/2 (* (* (sqrt 4/3) (pow v 2)) (sqrt (/ 1 PI)))) (+ (* (sqrt 4/3) (sqrt (/ 1 PI))) (* 3/8 (* (* (sqrt 4/3) (pow v 4)) (sqrt (/ 1 PI)))))) 10.065 * [backup-simplify]: Simplify (sqrt (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v)))))) into (* (sqrt 4/3) (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) 10.065 * [approximate]: Taking taylor expansion of (* (sqrt 4/3) (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in (v) around 0 10.065 * [taylor]: Taking taylor expansion of (* (sqrt 4/3) (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in v 10.065 * [taylor]: Taking taylor expansion of (sqrt 4/3) in v 10.065 * [taylor]: Taking taylor expansion of 4/3 in v 10.065 * [backup-simplify]: Simplify 4/3 into 4/3 10.066 * [backup-simplify]: Simplify (sqrt 4/3) into (sqrt 4/3) 10.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4/3))) into 0 10.066 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (/ PI (pow v 2))))) in v 10.066 * [taylor]: Taking taylor expansion of (/ 1 (- PI (/ PI (pow v 2)))) in v 10.066 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 10.066 * [taylor]: Taking taylor expansion of PI in v 10.066 * [backup-simplify]: Simplify PI into PI 10.066 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 10.066 * [taylor]: Taking taylor expansion of PI in v 10.066 * [backup-simplify]: Simplify PI into PI 10.066 * [taylor]: Taking taylor expansion of (pow v 2) in v 10.066 * [taylor]: Taking taylor expansion of v in v 10.066 * [backup-simplify]: Simplify 0 into 0 10.066 * [backup-simplify]: Simplify 1 into 1 10.066 * [backup-simplify]: Simplify (* 1 1) into 1 10.067 * [backup-simplify]: Simplify (/ PI 1) into PI 10.067 * [backup-simplify]: Simplify (- PI) into (- PI) 10.068 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 10.068 * [backup-simplify]: Simplify (/ 1 (- PI)) into (/ -1 PI) 10.069 * [backup-simplify]: Simplify (sqrt (/ -1 PI)) into (sqrt (/ -1 PI)) 10.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.070 * [backup-simplify]: Simplify (- 0) into 0 10.070 * [backup-simplify]: Simplify (+ 0 0) into 0 10.071 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))))) into 0 10.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 PI)))) into 0 10.071 * [taylor]: Taking taylor expansion of (* (sqrt 4/3) (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in v 10.072 * [taylor]: Taking taylor expansion of (sqrt 4/3) in v 10.072 * [taylor]: Taking taylor expansion of 4/3 in v 10.072 * [backup-simplify]: Simplify 4/3 into 4/3 10.072 * [backup-simplify]: Simplify (sqrt 4/3) into (sqrt 4/3) 10.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4/3))) into 0 10.072 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (/ PI (pow v 2))))) in v 10.072 * [taylor]: Taking taylor expansion of (/ 1 (- PI (/ PI (pow v 2)))) in v 10.072 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 10.072 * [taylor]: Taking taylor expansion of PI in v 10.072 * [backup-simplify]: Simplify PI into PI 10.072 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 10.072 * [taylor]: Taking taylor expansion of PI in v 10.072 * [backup-simplify]: Simplify PI into PI 10.072 * [taylor]: Taking taylor expansion of (pow v 2) in v 10.072 * [taylor]: Taking taylor expansion of v in v 10.072 * [backup-simplify]: Simplify 0 into 0 10.072 * [backup-simplify]: Simplify 1 into 1 10.073 * [backup-simplify]: Simplify (* 1 1) into 1 10.073 * [backup-simplify]: Simplify (/ PI 1) into PI 10.073 * [backup-simplify]: Simplify (- PI) into (- PI) 10.074 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 10.074 * [backup-simplify]: Simplify (/ 1 (- PI)) into (/ -1 PI) 10.075 * [backup-simplify]: Simplify (sqrt (/ -1 PI)) into (sqrt (/ -1 PI)) 10.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.076 * [backup-simplify]: Simplify (- 0) into 0 10.076 * [backup-simplify]: Simplify (+ 0 0) into 0 10.077 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))))) into 0 10.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 PI)))) into 0 10.079 * [backup-simplify]: Simplify (* (sqrt 4/3) (sqrt (/ -1 PI))) into (* (sqrt 4/3) (sqrt (/ -1 PI))) 10.080 * [backup-simplify]: Simplify (* (sqrt 4/3) (sqrt (/ -1 PI))) into (* (sqrt 4/3) (sqrt (/ -1 PI))) 10.081 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (* 0 (sqrt (/ -1 PI)))) into 0 10.081 * [backup-simplify]: Simplify 0 into 0 10.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.083 * [backup-simplify]: Simplify (- 0) into 0 10.083 * [backup-simplify]: Simplify (+ PI 0) into PI 10.086 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ 1 PI)) 10.090 * [backup-simplify]: Simplify (/ (- (- (/ 1 PI)) (pow 0 2) (+)) (* 2 (sqrt (/ -1 PI)))) into (/ -1/2 (* PI (sqrt (/ -1 PI)))) 10.091 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4/3))) into 0 10.098 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI))))) into (- (* 1/2 (/ (sqrt 4/3) (* PI (sqrt (/ -1 PI)))))) 10.104 * [backup-simplify]: Simplify (- (* 1/2 (/ (sqrt 4/3) (* PI (sqrt (/ -1 PI)))))) into (- (* 1/2 (/ (sqrt 4/3) (* PI (sqrt (/ -1 PI)))))) 10.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.107 * [backup-simplify]: Simplify (- 0) into 0 10.107 * [backup-simplify]: Simplify (+ 0 0) into 0 10.110 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (/ 1 PI)) (/ 0 (- PI))))) into 0 10.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI)))))))) (* 2 (sqrt (/ -1 PI)))) into 0 10.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4/3))) into 0 10.116 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (+ (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI)))))) into 0 10.116 * [backup-simplify]: Simplify 0 into 0 10.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.119 * [backup-simplify]: Simplify (- 0) into 0 10.119 * [backup-simplify]: Simplify (+ 0 0) into 0 10.129 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (/ 1 PI)) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ 1 PI)) 10.145 * [backup-simplify]: Simplify (/ (- (- (/ 1 PI)) (pow (/ -1/2 (* PI (sqrt (/ -1 PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ -1 PI)))) into (* -1/2 (/ (+ (/ 1 PI) (* 1/4 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 2))))) (sqrt (/ -1 PI)))) 10.147 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 4/3))) into 0 10.166 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) (* -1/2 (/ (+ (/ 1 PI) (* 1/4 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 2))))) (sqrt (/ -1 PI))))) (+ (* 0 0) (+ (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI))))))) into (- (+ (* 1/8 (/ (sqrt 4/3) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 1/2 (/ (sqrt 4/3) (* PI (sqrt (/ -1 PI))))))) 10.179 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ (sqrt 4/3) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 1/2 (/ (sqrt 4/3) (* PI (sqrt (/ -1 PI))))))) into (- (+ (* 1/8 (/ (sqrt 4/3) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 1/2 (/ (sqrt 4/3) (* PI (sqrt (/ -1 PI))))))) 10.206 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/8 (/ (sqrt 4/3) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 1/2 (/ (sqrt 4/3) (* PI (sqrt (/ -1 PI))))))) (pow (/ 1 v) 5)) (+ (* (- (* 1/2 (/ (sqrt 4/3) (* PI (sqrt (/ -1 PI)))))) (pow (/ 1 v) 3)) (* (* (sqrt 4/3) (sqrt (/ -1 PI))) (/ 1 v)))) into (- (/ (* (sqrt 4/3) (sqrt (/ -1 PI))) v) (+ (* 1/8 (/ (sqrt 4/3) (* (pow v 5) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3))))) (+ (* 1/2 (/ (sqrt 4/3) (* (pow v 5) (* PI (sqrt (/ -1 PI)))))) (* 1/2 (/ (sqrt 4/3) (* (pow v 3) (* PI (sqrt (/ -1 PI))))))))) 10.206 * [backup-simplify]: Simplify (sqrt (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))))) into (* (sqrt 4/3) (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) 10.206 * [approximate]: Taking taylor expansion of (* (sqrt 4/3) (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in (v) around 0 10.206 * [taylor]: Taking taylor expansion of (* (sqrt 4/3) (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in v 10.206 * [taylor]: Taking taylor expansion of (sqrt 4/3) in v 10.206 * [taylor]: Taking taylor expansion of 4/3 in v 10.206 * [backup-simplify]: Simplify 4/3 into 4/3 10.207 * [backup-simplify]: Simplify (sqrt 4/3) into (sqrt 4/3) 10.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4/3))) into 0 10.207 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (/ PI (pow v 2))))) in v 10.207 * [taylor]: Taking taylor expansion of (/ 1 (- PI (/ PI (pow v 2)))) in v 10.208 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 10.208 * [taylor]: Taking taylor expansion of PI in v 10.208 * [backup-simplify]: Simplify PI into PI 10.208 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 10.208 * [taylor]: Taking taylor expansion of PI in v 10.208 * [backup-simplify]: Simplify PI into PI 10.208 * [taylor]: Taking taylor expansion of (pow v 2) in v 10.208 * [taylor]: Taking taylor expansion of v in v 10.208 * [backup-simplify]: Simplify 0 into 0 10.208 * [backup-simplify]: Simplify 1 into 1 10.208 * [backup-simplify]: Simplify (* 1 1) into 1 10.209 * [backup-simplify]: Simplify (/ PI 1) into PI 10.209 * [backup-simplify]: Simplify (- PI) into (- PI) 10.210 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 10.211 * [backup-simplify]: Simplify (/ 1 (- PI)) into (/ -1 PI) 10.212 * [backup-simplify]: Simplify (sqrt (/ -1 PI)) into (sqrt (/ -1 PI)) 10.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.214 * [backup-simplify]: Simplify (- 0) into 0 10.215 * [backup-simplify]: Simplify (+ 0 0) into 0 10.216 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))))) into 0 10.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 PI)))) into 0 10.217 * [taylor]: Taking taylor expansion of (* (sqrt 4/3) (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in v 10.217 * [taylor]: Taking taylor expansion of (sqrt 4/3) in v 10.217 * [taylor]: Taking taylor expansion of 4/3 in v 10.217 * [backup-simplify]: Simplify 4/3 into 4/3 10.217 * [backup-simplify]: Simplify (sqrt 4/3) into (sqrt 4/3) 10.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4/3))) into 0 10.218 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (/ PI (pow v 2))))) in v 10.218 * [taylor]: Taking taylor expansion of (/ 1 (- PI (/ PI (pow v 2)))) in v 10.218 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 10.218 * [taylor]: Taking taylor expansion of PI in v 10.218 * [backup-simplify]: Simplify PI into PI 10.218 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 10.218 * [taylor]: Taking taylor expansion of PI in v 10.218 * [backup-simplify]: Simplify PI into PI 10.218 * [taylor]: Taking taylor expansion of (pow v 2) in v 10.218 * [taylor]: Taking taylor expansion of v in v 10.218 * [backup-simplify]: Simplify 0 into 0 10.218 * [backup-simplify]: Simplify 1 into 1 10.219 * [backup-simplify]: Simplify (* 1 1) into 1 10.219 * [backup-simplify]: Simplify (/ PI 1) into PI 10.220 * [backup-simplify]: Simplify (- PI) into (- PI) 10.221 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 10.222 * [backup-simplify]: Simplify (/ 1 (- PI)) into (/ -1 PI) 10.223 * [backup-simplify]: Simplify (sqrt (/ -1 PI)) into (sqrt (/ -1 PI)) 10.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.225 * [backup-simplify]: Simplify (- 0) into 0 10.225 * [backup-simplify]: Simplify (+ 0 0) into 0 10.226 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))))) into 0 10.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 PI)))) into 0 10.229 * [backup-simplify]: Simplify (* (sqrt 4/3) (sqrt (/ -1 PI))) into (* (sqrt 4/3) (sqrt (/ -1 PI))) 10.232 * [backup-simplify]: Simplify (* (sqrt 4/3) (sqrt (/ -1 PI))) into (* (sqrt 4/3) (sqrt (/ -1 PI))) 10.233 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (* 0 (sqrt (/ -1 PI)))) into 0 10.233 * [backup-simplify]: Simplify 0 into 0 10.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.235 * [backup-simplify]: Simplify (- 0) into 0 10.236 * [backup-simplify]: Simplify (+ PI 0) into PI 10.242 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ 1 PI)) 10.248 * [backup-simplify]: Simplify (/ (- (- (/ 1 PI)) (pow 0 2) (+)) (* 2 (sqrt (/ -1 PI)))) into (/ -1/2 (* PI (sqrt (/ -1 PI)))) 10.249 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4/3))) into 0 10.256 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI))))) into (- (* 1/2 (/ (sqrt 4/3) (* PI (sqrt (/ -1 PI)))))) 10.262 * [backup-simplify]: Simplify (- (* 1/2 (/ (sqrt 4/3) (* PI (sqrt (/ -1 PI)))))) into (- (* 1/2 (/ (sqrt 4/3) (* PI (sqrt (/ -1 PI)))))) 10.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.265 * [backup-simplify]: Simplify (- 0) into 0 10.265 * [backup-simplify]: Simplify (+ 0 0) into 0 10.271 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (/ 1 PI)) (/ 0 (- PI))))) into 0 10.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI)))))))) (* 2 (sqrt (/ -1 PI)))) into 0 10.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4/3))) into 0 10.277 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) 0) (+ (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI)))))) into 0 10.277 * [backup-simplify]: Simplify 0 into 0 10.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.280 * [backup-simplify]: Simplify (- 0) into 0 10.281 * [backup-simplify]: Simplify (+ 0 0) into 0 10.290 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (/ 1 PI)) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ 1 PI)) 10.303 * [backup-simplify]: Simplify (/ (- (- (/ 1 PI)) (pow (/ -1/2 (* PI (sqrt (/ -1 PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ -1 PI)))) into (* -1/2 (/ (+ (/ 1 PI) (* 1/4 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 2))))) (sqrt (/ -1 PI)))) 10.304 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 4/3))) into 0 10.330 * [backup-simplify]: Simplify (+ (* (sqrt 4/3) (* -1/2 (/ (+ (/ 1 PI) (* 1/4 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 2))))) (sqrt (/ -1 PI))))) (+ (* 0 0) (+ (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI))))))) into (- (+ (* 1/8 (/ (sqrt 4/3) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 1/2 (/ (sqrt 4/3) (* PI (sqrt (/ -1 PI))))))) 10.348 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ (sqrt 4/3) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 1/2 (/ (sqrt 4/3) (* PI (sqrt (/ -1 PI))))))) into (- (+ (* 1/8 (/ (sqrt 4/3) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 1/2 (/ (sqrt 4/3) (* PI (sqrt (/ -1 PI))))))) 10.376 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/8 (/ (sqrt 4/3) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 1/2 (/ (sqrt 4/3) (* PI (sqrt (/ -1 PI))))))) (pow (/ 1 (- v)) 5)) (+ (* (- (* 1/2 (/ (sqrt 4/3) (* PI (sqrt (/ -1 PI)))))) (pow (/ 1 (- v)) 3)) (* (* (sqrt 4/3) (sqrt (/ -1 PI))) (/ 1 (- v))))) into (- (+ (* 1/8 (/ (sqrt 4/3) (* (pow v 5) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3))))) (+ (* 1/2 (/ (sqrt 4/3) (* (pow v 3) (* PI (sqrt (/ -1 PI)))))) (* 1/2 (/ (sqrt 4/3) (* (pow v 5) (* PI (sqrt (/ -1 PI)))))))) (/ (* (sqrt 4/3) (sqrt (/ -1 PI))) v)) 10.376 * * * [progress]: simplifying candidates 10.376 * * * * [progress]: [ 1 / 194 ] simplifiying candidate # 10.376 * * * * [progress]: [ 2 / 194 ] simplifiying candidate # 10.376 * * * * [progress]: [ 3 / 194 ] simplifiying candidate # 10.377 * * * * [progress]: [ 4 / 194 ] simplifiying candidate # 10.377 * * * * [progress]: [ 5 / 194 ] simplifiying candidate # 10.377 * * * * [progress]: [ 6 / 194 ] simplifiying candidate # 10.377 * * * * [progress]: [ 7 / 194 ] simplifiying candidate # 10.377 * * * * [progress]: [ 8 / 194 ] simplifiying candidate # 10.377 * * * * [progress]: [ 9 / 194 ] simplifiying candidate # 10.377 * * * * [progress]: [ 10 / 194 ] simplifiying candidate # 10.377 * * * * [progress]: [ 11 / 194 ] simplifiying candidate # 10.377 * * * * [progress]: [ 12 / 194 ] simplifiying candidate # 10.377 * * * * [progress]: [ 13 / 194 ] simplifiying candidate # 10.377 * * * * [progress]: [ 14 / 194 ] simplifiying candidate # 10.377 * * * * [progress]: [ 15 / 194 ] simplifiying candidate # 10.377 * * * * [progress]: [ 16 / 194 ] simplifiying candidate # 10.377 * * * * [progress]: [ 17 / 194 ] simplifiying candidate # 10.378 * * * * [progress]: [ 18 / 194 ] simplifiying candidate # 10.378 * * * * [progress]: [ 19 / 194 ] simplifiying candidate # 10.378 * * * * [progress]: [ 20 / 194 ] simplifiying candidate # 10.378 * * * * [progress]: [ 21 / 194 ] simplifiying candidate # 10.378 * * * * [progress]: [ 22 / 194 ] simplifiying candidate # 10.378 * * * * [progress]: [ 23 / 194 ] simplifiying candidate # 10.378 * * * * [progress]: [ 24 / 194 ] simplifiying candidate # 10.378 * * * * [progress]: [ 25 / 194 ] simplifiying candidate # 10.378 * * * * [progress]: [ 26 / 194 ] simplifiying candidate # 10.378 * * * * [progress]: [ 27 / 194 ] simplifiying candidate # 10.378 * * * * [progress]: [ 28 / 194 ] simplifiying candidate # 10.378 * * * * [progress]: [ 29 / 194 ] simplifiying candidate # 10.378 * * * * [progress]: [ 30 / 194 ] simplifiying candidate #real (real->posit16 (/ 4/3 (- PI (* v (* PI v)))))))) (sqrt (- 2 (* 6 (* v v))))))> 10.378 * * * * [progress]: [ 31 / 194 ] simplifiying candidate # 10.378 * * * * [progress]: [ 32 / 194 ] simplifiying candidate # 10.379 * * * * [progress]: [ 33 / 194 ] simplifiying candidate # 10.379 * * * * [progress]: [ 34 / 194 ] simplifiying candidate # 10.379 * * * * [progress]: [ 35 / 194 ] simplifiying candidate # 10.379 * * * * [progress]: [ 36 / 194 ] simplifiying candidate # 10.379 * * * * [progress]: [ 37 / 194 ] simplifiying candidate # 10.379 * * * * [progress]: [ 38 / 194 ] simplifiying candidate # 10.379 * * * * [progress]: [ 39 / 194 ] simplifiying candidate # 10.379 * * * * [progress]: [ 40 / 194 ] simplifiying candidate # 10.379 * * * * [progress]: [ 41 / 194 ] simplifiying candidate # 10.379 * * * * [progress]: [ 42 / 194 ] simplifiying candidate # 10.379 * * * * [progress]: [ 43 / 194 ] simplifiying candidate # 10.379 * * * * [progress]: [ 44 / 194 ] simplifiying candidate # 10.379 * * * * [progress]: [ 45 / 194 ] simplifiying candidate # 10.379 * * * * [progress]: [ 46 / 194 ] simplifiying candidate # 10.379 * * * * [progress]: [ 47 / 194 ] simplifiying candidate # 10.380 * * * * [progress]: [ 48 / 194 ] simplifiying candidate # 10.380 * * * * [progress]: [ 49 / 194 ] simplifiying candidate # 10.380 * * * * [progress]: [ 50 / 194 ] simplifiying candidate # 10.380 * * * * [progress]: [ 51 / 194 ] simplifiying candidate # 10.380 * * * * [progress]: [ 52 / 194 ] simplifiying candidate # 10.380 * * * * [progress]: [ 53 / 194 ] simplifiying candidate # 10.380 * * * * [progress]: [ 54 / 194 ] simplifiying candidate # 10.380 * * * * [progress]: [ 55 / 194 ] simplifiying candidate # 10.380 * * * * [progress]: [ 56 / 194 ] simplifiying candidate # 10.380 * * * * [progress]: [ 57 / 194 ] simplifiying candidate # 10.380 * * * * [progress]: [ 58 / 194 ] simplifiying candidate # 10.380 * * * * [progress]: [ 59 / 194 ] simplifiying candidate # 10.380 * * * * [progress]: [ 60 / 194 ] simplifiying candidate #real (real->posit16 (/ 4/3 (- PI (* v (* PI v))))))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (- 2 (* 6 (* v v))))))> 10.380 * * * * [progress]: [ 61 / 194 ] simplifiying candidate # 10.380 * * * * [progress]: [ 62 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 63 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 64 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 65 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 66 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 67 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 68 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 69 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 70 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 71 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 72 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 73 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 74 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 75 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 76 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 77 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 78 / 194 ] simplifiying candidate # 10.381 * * * * [progress]: [ 79 / 194 ] simplifiying candidate # 10.382 * * * * [progress]: [ 80 / 194 ] simplifiying candidate # 10.382 * * * * [progress]: [ 81 / 194 ] simplifiying candidate # 10.382 * * * * [progress]: [ 82 / 194 ] simplifiying candidate # 10.382 * * * * [progress]: [ 83 / 194 ] simplifiying candidate # 10.382 * * * * [progress]: [ 84 / 194 ] simplifiying candidate # 10.382 * * * * [progress]: [ 85 / 194 ] simplifiying candidate # 10.382 * * * * [progress]: [ 86 / 194 ] simplifiying candidate # 10.382 * * * * [progress]: [ 87 / 194 ] simplifiying candidate # 10.382 * * * * [progress]: [ 88 / 194 ] simplifiying candidate # 10.382 * * * * [progress]: [ 89 / 194 ] simplifiying candidate # 10.382 * * * * [progress]: [ 90 / 194 ] simplifiying candidate # 10.382 * * * * [progress]: [ 91 / 194 ] simplifiying candidate # 10.382 * * * * [progress]: [ 92 / 194 ] simplifiying candidate # 10.383 * * * * [progress]: [ 93 / 194 ] simplifiying candidate # 10.383 * * * * [progress]: [ 94 / 194 ] simplifiying candidate # 10.383 * * * * [progress]: [ 95 / 194 ] simplifiying candidate # 10.383 * * * * [progress]: [ 96 / 194 ] simplifiying candidate # 10.383 * * * * [progress]: [ 97 / 194 ] simplifiying candidate # 10.383 * * * * [progress]: [ 98 / 194 ] simplifiying candidate # 10.383 * * * * [progress]: [ 99 / 194 ] simplifiying candidate # 10.383 * * * * [progress]: [ 100 / 194 ] simplifiying candidate # 10.383 * * * * [progress]: [ 101 / 194 ] simplifiying candidate # 10.383 * * * * [progress]: [ 102 / 194 ] simplifiying candidate # 10.383 * * * * [progress]: [ 103 / 194 ] simplifiying candidate # 10.383 * * * * [progress]: [ 104 / 194 ] simplifiying candidate # 10.383 * * * * [progress]: [ 105 / 194 ] simplifiying candidate # 10.383 * * * * [progress]: [ 106 / 194 ] simplifiying candidate # 10.384 * * * * [progress]: [ 107 / 194 ] simplifiying candidate # 10.384 * * * * [progress]: [ 108 / 194 ] simplifiying candidate # 10.384 * * * * [progress]: [ 109 / 194 ] simplifiying candidate # 10.384 * * * * [progress]: [ 110 / 194 ] simplifiying candidate # 10.384 * * * * [progress]: [ 111 / 194 ] simplifiying candidate # 10.384 * * * * [progress]: [ 112 / 194 ] simplifiying candidate # 10.384 * * * * [progress]: [ 113 / 194 ] simplifiying candidate # 10.384 * * * * [progress]: [ 114 / 194 ] simplifiying candidate # 10.384 * * * * [progress]: [ 115 / 194 ] simplifiying candidate # 10.384 * * * * [progress]: [ 116 / 194 ] simplifiying candidate # 10.384 * * * * [progress]: [ 117 / 194 ] simplifiying candidate # 10.384 * * * * [progress]: [ 118 / 194 ] simplifiying candidate # 10.384 * * * * [progress]: [ 119 / 194 ] simplifiying candidate # 10.384 * * * * [progress]: [ 120 / 194 ] simplifiying candidate # 10.385 * * * * [progress]: [ 121 / 194 ] simplifiying candidate # 10.385 * * * * [progress]: [ 122 / 194 ] simplifiying candidate # 10.385 * * * * [progress]: [ 123 / 194 ] simplifiying candidate # 10.385 * * * * [progress]: [ 124 / 194 ] simplifiying candidate # 10.385 * * * * [progress]: [ 125 / 194 ] simplifiying candidate # 10.385 * * * * [progress]: [ 126 / 194 ] simplifiying candidate # 10.385 * * * * [progress]: [ 127 / 194 ] simplifiying candidate # 10.385 * * * * [progress]: [ 128 / 194 ] simplifiying candidate # 10.385 * * * * [progress]: [ 129 / 194 ] simplifiying candidate # 10.385 * * * * [progress]: [ 130 / 194 ] simplifiying candidate # 10.385 * * * * [progress]: [ 131 / 194 ] simplifiying candidate # 10.385 * * * * [progress]: [ 132 / 194 ] simplifiying candidate # 10.385 * * * * [progress]: [ 133 / 194 ] simplifiying candidate # 10.385 * * * * [progress]: [ 134 / 194 ] simplifiying candidate # 10.385 * * * * [progress]: [ 135 / 194 ] simplifiying candidate # 10.386 * * * * [progress]: [ 136 / 194 ] simplifiying candidate # 10.386 * * * * [progress]: [ 137 / 194 ] simplifiying candidate # 10.386 * * * * [progress]: [ 138 / 194 ] simplifiying candidate # 10.386 * * * * [progress]: [ 139 / 194 ] simplifiying candidate # 10.386 * * * * [progress]: [ 140 / 194 ] simplifiying candidate # 10.386 * * * * [progress]: [ 141 / 194 ] simplifiying candidate # 10.386 * * * * [progress]: [ 142 / 194 ] simplifiying candidate # 10.386 * * * * [progress]: [ 143 / 194 ] simplifiying candidate # 10.386 * * * * [progress]: [ 144 / 194 ] simplifiying candidate # 10.386 * * * * [progress]: [ 145 / 194 ] simplifiying candidate # 10.386 * * * * [progress]: [ 146 / 194 ] simplifiying candidate # 10.386 * * * * [progress]: [ 147 / 194 ] simplifiying candidate # 10.386 * * * * [progress]: [ 148 / 194 ] simplifiying candidate # 10.386 * * * * [progress]: [ 149 / 194 ] simplifiying candidate # 10.387 * * * * [progress]: [ 150 / 194 ] simplifiying candidate # 10.387 * * * * [progress]: [ 151 / 194 ] simplifiying candidate # 10.387 * * * * [progress]: [ 152 / 194 ] simplifiying candidate # 10.387 * * * * [progress]: [ 153 / 194 ] simplifiying candidate #real (real->posit16 (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))))) (sqrt (- 2 (* 6 (* v v))))))> 10.387 * * * * [progress]: [ 154 / 194 ] simplifiying candidate # 10.387 * * * * [progress]: [ 155 / 194 ] simplifiying candidate # 10.387 * * * * [progress]: [ 156 / 194 ] simplifiying candidate # 10.387 * * * * [progress]: [ 157 / 194 ] simplifiying candidate # 10.387 * * * * [progress]: [ 158 / 194 ] simplifiying candidate # 10.387 * * * * [progress]: [ 159 / 194 ] simplifiying candidate # 10.387 * * * * [progress]: [ 160 / 194 ] simplifiying candidate # 10.387 * * * * [progress]: [ 161 / 194 ] simplifiying candidate # 10.387 * * * * [progress]: [ 162 / 194 ] simplifiying candidate # 10.388 * * * * [progress]: [ 163 / 194 ] simplifiying candidate # 10.388 * * * * [progress]: [ 164 / 194 ] simplifiying candidate # 10.388 * * * * [progress]: [ 165 / 194 ] simplifiying candidate # 10.388 * * * * [progress]: [ 166 / 194 ] simplifiying candidate # 10.388 * * * * [progress]: [ 167 / 194 ] simplifiying candidate # 10.388 * * * * [progress]: [ 168 / 194 ] simplifiying candidate # 10.388 * * * * [progress]: [ 169 / 194 ] simplifiying candidate # 10.388 * * * * [progress]: [ 170 / 194 ] simplifiying candidate # 10.388 * * * * [progress]: [ 171 / 194 ] simplifiying candidate # 10.388 * * * * [progress]: [ 172 / 194 ] simplifiying candidate # 10.388 * * * * [progress]: [ 173 / 194 ] simplifiying candidate # 10.388 * * * * [progress]: [ 174 / 194 ] simplifiying candidate # 10.388 * * * * [progress]: [ 175 / 194 ] simplifiying candidate # 10.388 * * * * [progress]: [ 176 / 194 ] simplifiying candidate # 10.388 * * * * [progress]: [ 177 / 194 ] simplifiying candidate # 10.389 * * * * [progress]: [ 178 / 194 ] simplifiying candidate # 10.389 * * * * [progress]: [ 179 / 194 ] simplifiying candidate # 10.389 * * * * [progress]: [ 180 / 194 ] simplifiying candidate # 10.389 * * * * [progress]: [ 181 / 194 ] simplifiying candidate # 10.389 * * * * [progress]: [ 182 / 194 ] simplifiying candidate #real (real->posit16 (sqrt (/ 4/3 (- PI (* v (* PI v)))))))) (sqrt (- 2 (* 6 (* v v))))))> 10.389 * * * * [progress]: [ 183 / 194 ] simplifiying candidate # 10.389 * * * * [progress]: [ 184 / 194 ] simplifiying candidate # 10.389 * * * * [progress]: [ 185 / 194 ] simplifiying candidate # 10.389 * * * * [progress]: [ 186 / 194 ] simplifiying candidate # 10.389 * * * * [progress]: [ 187 / 194 ] simplifiying candidate # 10.389 * * * * [progress]: [ 188 / 194 ] simplifiying candidate # 10.389 * * * * [progress]: [ 189 / 194 ] simplifiying candidate # 10.389 * * * * [progress]: [ 190 / 194 ] simplifiying candidate # 10.389 * * * * [progress]: [ 191 / 194 ] simplifiying candidate # 10.389 * * * * [progress]: [ 192 / 194 ] simplifiying candidate # 10.389 * * * * [progress]: [ 193 / 194 ] simplifiying candidate # 10.390 * * * * [progress]: [ 194 / 194 ] simplifiying candidate # 10.393 * [simplify]: Simplifying: (- (log 4/3) (log (- PI (* v (* PI v))))) (log (/ 4/3 (- PI (* v (* PI v))))) (exp (/ 4/3 (- PI (* v (* PI v))))) (/ (* (* 4/3 4/3) 4/3) (* (* (- PI (* v (* PI 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v (* PI v)))))) (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) (+ (/ (* (pow (sqrt 4/3) 2) (pow v 2)) PI) (+ (/ (pow (sqrt 4/3) 2) PI) (/ (* (pow (sqrt 4/3) 2) (pow v 4)) PI))) (- (+ (/ (pow (sqrt 4/3) 2) (* (pow v 4) PI)) (+ (/ (pow (sqrt 4/3) 2) (* (pow v 6) PI)) (/ (pow (sqrt 4/3) 2) (* (pow v 2) PI))))) (- (+ (/ (pow (sqrt 4/3) 2) (* (pow v 4) PI)) (+ (/ (pow (sqrt 4/3) 2) (* (pow v 6) PI)) (/ (pow (sqrt 4/3) 2) (* (pow v 2) PI))))) (+ (* 1/2 (* (* (sqrt 4/3) (pow v 2)) (sqrt (/ 1 PI)))) (+ (* (sqrt 4/3) (sqrt (/ 1 PI))) (* 3/8 (* (* (sqrt 4/3) (pow v 4)) (sqrt (/ 1 PI)))))) (- (/ (* (sqrt 4/3) (sqrt (/ -1 PI))) v) (+ (* 1/8 (/ (sqrt 4/3) (* (pow v 5) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3))))) (+ (* 1/2 (/ (sqrt 4/3) (* (pow v 5) (* PI (sqrt (/ -1 PI)))))) (* 1/2 (/ (sqrt 4/3) (* (pow v 3) (* PI (sqrt (/ -1 PI))))))))) (- (+ (* 1/8 (/ (sqrt 4/3) (* (pow v 5) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3))))) (+ (* 1/2 (/ (sqrt 4/3) (* (pow v 3) (* PI (sqrt (/ -1 PI)))))) (* 1/2 (/ (sqrt 4/3) (* (pow v 5) (* PI (sqrt (/ -1 PI)))))))) (/ (* (sqrt 4/3) (sqrt (/ -1 PI))) v)) 10.400 * * [simplify]: iteration 1: (261 enodes) 10.568 * * [simplify]: iteration 2: (562 enodes) 10.807 * * [simplify]: iteration 3: (1627 enodes) 12.736 * * [simplify]: Extracting #0: cost 102 inf + 0 12.738 * * [simplify]: Extracting #1: cost 429 inf + 127 12.745 * * [simplify]: Extracting #2: cost 1045 inf + 1268 12.760 * * [simplify]: Extracting #3: cost 1537 inf + 12388 12.799 * * [simplify]: Extracting #4: cost 1144 inf + 93885 12.916 * * [simplify]: Extracting #5: cost 404 inf + 314423 13.064 * * [simplify]: Extracting #6: cost 11 inf + 478431 13.196 * * [simplify]: Extracting #7: cost 0 inf + 483201 13.300 * [simplify]: Simplified to: (log (/ 4/3 (- PI (* (* PI v) v)))) (log (/ 4/3 (- PI (* (* PI v) v)))) (exp (/ 4/3 (- PI (* (* PI v) v)))) (/ 64/27 (* (* (- PI (* (* PI v) v)) (- PI (* (* PI v) v))) (- PI (* (* PI v) v)))) (* (cbrt (/ 4/3 (- PI (* (* PI v) v)))) (cbrt (/ 4/3 (- PI (* (* PI v) v))))) (cbrt (/ 4/3 (- PI (* (* PI v) v)))) (/ 64/27 (* (* (- PI (* (* PI v) v)) (- PI (* (* PI v) v))) (- PI (* (* PI v) v)))) (sqrt (/ 4/3 (- PI (* (* PI v) v)))) (sqrt (/ 4/3 (- PI (* (* PI v) v)))) -4/3 (+ (- PI) (* (* PI v) v)) (* (/ (cbrt 4/3) (cbrt (- PI (* (* PI v) v)))) (/ (cbrt 4/3) (cbrt (- PI (* (* PI v) v))))) (/ (cbrt 4/3) (cbrt (- PI (* (* PI v) v)))) (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (- PI (* (* PI v) v)))) (/ (cbrt 4/3) (sqrt (- PI (* (* PI v) v)))) (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (- PI (* (* PI v) v))) (/ (sqrt 4/3) (* (cbrt (- PI (* (* PI v) v))) (cbrt (- PI (* (* PI v) v))))) (/ (sqrt 4/3) (cbrt (- PI (* (* PI v) v)))) (/ (sqrt 4/3) (sqrt (- PI (* (* PI v) v)))) (/ (sqrt 4/3) (sqrt (- PI (* (* PI v) v)))) (sqrt 4/3) (/ (sqrt 4/3) (- PI (* (* PI v) v))) (/ (/ 1 (cbrt (- PI (* (* PI v) v)))) (cbrt (- PI (* (* PI v) v)))) (/ 4/3 (cbrt (- PI (* (* PI v) v)))) (/ 1 (sqrt (- PI (* (* PI v) v)))) (/ 4/3 (sqrt (- PI (* (* PI v) v)))) 1 (/ 4/3 (- PI (* (* PI v) v))) (/ 1 (- PI (* (* PI v) v))) (/ (- PI (* (* PI v) v)) 4/3) (/ 4/3 (* (cbrt (- PI (* (* PI v) v))) (cbrt (- PI (* (* PI v) v))))) (/ 4/3 (sqrt (- PI (* (* PI v) v)))) 4/3 (/ (- PI (* (* PI v) v)) (cbrt 4/3)) (/ (- PI (* (* PI v) v)) (sqrt 4/3)) (/ (- PI (* (* PI v) v)) 4/3) (/ 4/3 (- (* PI (* PI PI)) (* (* (* (* PI v) v) (* (* PI v) v)) (* (* PI v) v)))) (/ 4/3 (* (+ PI (* (* PI v) v)) (- PI (* (* PI v) v)))) (real->posit16 (/ 4/3 (- PI (* (* PI v) v)))) (log (/ 4/3 (- PI 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(* (sqrt (/ 1 PI)) (+ (* 1/2 (* (sqrt 4/3) (* v v))) (+ (sqrt 4/3) (* (* (* v v) (* (sqrt 4/3) (* v v))) 3/8)))) (+ (- (* (/ (sqrt 4/3) v) (sqrt (/ -1 PI))) (* (/ 1/2 (* (sqrt (/ -1 PI)) PI)) (+ (/ (/ (sqrt 4/3) v) (* v v)) (/ (sqrt 4/3) (pow v 5))))) (* (/ (/ (sqrt 4/3) (* (sqrt (/ -1 PI)) (* (/ -1 PI) (pow v 5)))) (* PI PI)) -1/8)) (+ (- (/ (/ (* 1/8 (sqrt 4/3)) (* PI PI)) (* (sqrt (/ -1 PI)) (* (/ -1 PI) (pow v 5)))) (* (/ (sqrt 4/3) v) (sqrt (/ -1 PI)))) (* (/ 1/2 (* (sqrt (/ -1 PI)) PI)) (+ (/ (/ (sqrt 4/3) v) (* v v)) (/ (sqrt 4/3) (pow v 5))))) 13.335 * * * [progress]: adding candidates to table 15.780 * [progress]: [Phase 3 of 3] Extracting. 15.780 * * [regime]: Finding splitpoints for: (# #) 15.781 * * * [regime-changes]: Trying 1 branch expressions: (v) 15.781 * * * * [regimes]: Trying to branch on v from (# #) 15.809 * * * [regime]: Found split indices: #