6.715 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying using # : (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) 0.035 * * [simplify]: iteration 0 : 15 enodes (cost 21 ) 0.037 * * [simplify]: iteration 1 : 30 enodes (cost 21 ) 0.042 * * [simplify]: iteration 2 : 86 enodes (cost 21 ) 0.066 * * [simplify]: iteration 3 : 352 enodes (cost 21 ) 0.236 * * [simplify]: iteration 4 : 1415 enodes (cost 21 ) 2.118 * * [simplify]: iteration done : 5000 enodes (cost 21 ) 2.118 * [simplify]: Simplified to: (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) 2.118 * * [progress]: iteration 1 / 4 2.118 * * * [progress]: picking best candidate 2.121 * * * * [pick]: Picked # 2.121 * * * [progress]: localizing error 2.135 * * * [progress]: generating rewritten candidates 2.135 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.162 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 2.166 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.173 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.198 * * * [progress]: generating series expansions 2.198 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.199 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in (b a) around 0 2.199 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in a 2.199 * [taylor]: Taking taylor expansion of 0.5 in a 2.199 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in a 2.199 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 2.199 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 2.199 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 2.199 * [taylor]: Taking taylor expansion of 1.0 in a 2.199 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.199 * [taylor]: Taking taylor expansion of a in a 2.199 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 2.199 * [taylor]: Taking taylor expansion of 1.0 in a 2.199 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.199 * [taylor]: Taking taylor expansion of b in a 2.199 * [taylor]: Taking taylor expansion of PI in a 2.199 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.199 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.199 * [taylor]: Taking taylor expansion of b in a 2.200 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.200 * [taylor]: Taking taylor expansion of a in a 2.200 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in b 2.200 * [taylor]: Taking taylor expansion of 0.5 in b 2.200 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in b 2.200 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 2.200 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 2.200 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 2.200 * [taylor]: Taking taylor expansion of 1.0 in b 2.200 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.200 * [taylor]: Taking taylor expansion of a in b 2.200 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 2.200 * [taylor]: Taking taylor expansion of 1.0 in b 2.200 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.200 * [taylor]: Taking taylor expansion of b in b 2.200 * [taylor]: Taking taylor expansion of PI in b 2.200 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.200 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.200 * [taylor]: Taking taylor expansion of b in b 2.200 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.200 * [taylor]: Taking taylor expansion of a in b 2.201 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in b 2.201 * [taylor]: Taking taylor expansion of 0.5 in b 2.201 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in b 2.201 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 2.201 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 2.201 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 2.201 * [taylor]: Taking taylor expansion of 1.0 in b 2.201 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.201 * [taylor]: Taking taylor expansion of a in b 2.201 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 2.201 * [taylor]: Taking taylor expansion of 1.0 in b 2.201 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.201 * [taylor]: Taking taylor expansion of b in b 2.201 * [taylor]: Taking taylor expansion of PI in b 2.201 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.201 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.201 * [taylor]: Taking taylor expansion of b in b 2.201 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.201 * [taylor]: Taking taylor expansion of a in b 2.202 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 2.202 * [taylor]: Taking taylor expansion of 0.5 in a 2.202 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.202 * [taylor]: Taking taylor expansion of PI in a 2.202 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.202 * [taylor]: Taking taylor expansion of a in a 2.203 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ PI (pow a 3)))) in a 2.203 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 2.203 * [taylor]: Taking taylor expansion of 0.5 in a 2.203 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 2.203 * [taylor]: Taking taylor expansion of PI in a 2.203 * [taylor]: Taking taylor expansion of (pow a 3) in a 2.203 * [taylor]: Taking taylor expansion of a in a 2.204 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 2.204 * [taylor]: Taking taylor expansion of 0.5 in a 2.204 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 2.204 * [taylor]: Taking taylor expansion of PI in a 2.204 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.204 * [taylor]: Taking taylor expansion of a in a 2.205 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.205 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.205 * [taylor]: Taking taylor expansion of 0.5 in a 2.205 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.206 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 2.206 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 2.206 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 2.206 * [taylor]: Taking taylor expansion of 1.0 in a 2.206 * [taylor]: Taking taylor expansion of a in a 2.206 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 2.206 * [taylor]: Taking taylor expansion of 1.0 in a 2.206 * [taylor]: Taking taylor expansion of b in a 2.206 * [taylor]: Taking taylor expansion of PI in a 2.206 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.206 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.206 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.206 * [taylor]: Taking taylor expansion of b in a 2.206 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.206 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.206 * [taylor]: Taking taylor expansion of a in a 2.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.206 * [taylor]: Taking taylor expansion of 0.5 in b 2.206 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.206 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 2.206 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 2.206 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.206 * [taylor]: Taking taylor expansion of 1.0 in b 2.206 * [taylor]: Taking taylor expansion of a in b 2.206 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.206 * [taylor]: Taking taylor expansion of 1.0 in b 2.206 * [taylor]: Taking taylor expansion of b in b 2.206 * [taylor]: Taking taylor expansion of PI in b 2.206 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.206 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.206 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.206 * [taylor]: Taking taylor expansion of b in b 2.206 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.206 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.206 * [taylor]: Taking taylor expansion of a in b 2.207 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.207 * [taylor]: Taking taylor expansion of 0.5 in b 2.207 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.207 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 2.207 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 2.207 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.207 * [taylor]: Taking taylor expansion of 1.0 in b 2.207 * [taylor]: Taking taylor expansion of a in b 2.207 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.207 * [taylor]: Taking taylor expansion of 1.0 in b 2.207 * [taylor]: Taking taylor expansion of b in b 2.207 * [taylor]: Taking taylor expansion of PI in b 2.207 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.207 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.207 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.207 * [taylor]: Taking taylor expansion of b in b 2.207 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.207 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.207 * [taylor]: Taking taylor expansion of a in b 2.207 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 2.207 * [taylor]: Taking taylor expansion of 0.5 in a 2.207 * [taylor]: Taking taylor expansion of (* a PI) in a 2.207 * [taylor]: Taking taylor expansion of a in a 2.207 * [taylor]: Taking taylor expansion of PI in a 2.208 * [taylor]: Taking taylor expansion of (neg (* 0.5 PI)) in a 2.208 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.208 * [taylor]: Taking taylor expansion of 0.5 in a 2.208 * [taylor]: Taking taylor expansion of PI in a 2.209 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 2.209 * [taylor]: Taking taylor expansion of 0.5 in a 2.209 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.209 * [taylor]: Taking taylor expansion of PI in a 2.209 * [taylor]: Taking taylor expansion of a in a 2.210 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.210 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.210 * [taylor]: Taking taylor expansion of 0.5 in a 2.210 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.210 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 2.210 * [taylor]: Taking taylor expansion of PI in a 2.210 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 2.210 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 2.210 * [taylor]: Taking taylor expansion of 1.0 in a 2.210 * [taylor]: Taking taylor expansion of b in a 2.210 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 2.210 * [taylor]: Taking taylor expansion of 1.0 in a 2.210 * [taylor]: Taking taylor expansion of a in a 2.210 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.210 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.210 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.211 * [taylor]: Taking taylor expansion of b in a 2.211 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.211 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.211 * [taylor]: Taking taylor expansion of a in a 2.211 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.211 * [taylor]: Taking taylor expansion of 0.5 in b 2.211 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.211 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 2.211 * [taylor]: Taking taylor expansion of PI in b 2.211 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 2.211 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.211 * [taylor]: Taking taylor expansion of 1.0 in b 2.211 * [taylor]: Taking taylor expansion of b in b 2.211 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.211 * [taylor]: Taking taylor expansion of 1.0 in b 2.211 * [taylor]: Taking taylor expansion of a in b 2.211 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.211 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.211 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.211 * [taylor]: Taking taylor expansion of b in b 2.211 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.211 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.211 * [taylor]: Taking taylor expansion of a in b 2.211 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.212 * [taylor]: Taking taylor expansion of 0.5 in b 2.212 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.212 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 2.212 * [taylor]: Taking taylor expansion of PI in b 2.212 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 2.212 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.212 * [taylor]: Taking taylor expansion of 1.0 in b 2.212 * [taylor]: Taking taylor expansion of b in b 2.212 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.212 * [taylor]: Taking taylor expansion of 1.0 in b 2.212 * [taylor]: Taking taylor expansion of a in b 2.212 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.212 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.212 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.212 * [taylor]: Taking taylor expansion of b in b 2.212 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.212 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.212 * [taylor]: Taking taylor expansion of a in b 2.212 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 2.212 * [taylor]: Taking taylor expansion of -0.5 in a 2.212 * [taylor]: Taking taylor expansion of (* a PI) in a 2.212 * [taylor]: Taking taylor expansion of a in a 2.212 * [taylor]: Taking taylor expansion of PI in a 2.213 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.213 * [taylor]: Taking taylor expansion of 0.5 in a 2.213 * [taylor]: Taking taylor expansion of PI in a 2.214 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ PI a))) in a 2.214 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 2.214 * [taylor]: Taking taylor expansion of 0.5 in a 2.214 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.214 * [taylor]: Taking taylor expansion of PI in a 2.214 * [taylor]: Taking taylor expansion of a in a 2.214 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 2.214 * [approximate]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in (b a) around 0 2.214 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.214 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.214 * [taylor]: Taking taylor expansion of b in a 2.214 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.214 * [taylor]: Taking taylor expansion of a in a 2.214 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.214 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.214 * [taylor]: Taking taylor expansion of b in b 2.214 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.214 * [taylor]: Taking taylor expansion of a in b 2.214 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.215 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.215 * [taylor]: Taking taylor expansion of b in b 2.215 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.215 * [taylor]: Taking taylor expansion of a in b 2.215 * [taylor]: Taking taylor expansion of (neg (pow a 2)) in a 2.215 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.215 * [taylor]: Taking taylor expansion of a in a 2.215 * [taylor]: Taking taylor expansion of 0 in a 2.215 * [taylor]: Taking taylor expansion of 1 in a 2.215 * [taylor]: Taking taylor expansion of 0 in a 2.215 * [taylor]: Taking taylor expansion of 0 in a 2.216 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 2.216 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.216 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.216 * [taylor]: Taking taylor expansion of b in a 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.216 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.216 * [taylor]: Taking taylor expansion of a in a 2.216 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.216 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.216 * [taylor]: Taking taylor expansion of b in b 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.216 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.216 * [taylor]: Taking taylor expansion of a in b 2.216 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.216 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.216 * [taylor]: Taking taylor expansion of b in b 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.216 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.216 * [taylor]: Taking taylor expansion of a in b 2.216 * [taylor]: Taking taylor expansion of 1 in a 2.217 * [taylor]: Taking taylor expansion of 0 in a 2.217 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow a 2))) in a 2.217 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.217 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.217 * [taylor]: Taking taylor expansion of a in a 2.217 * [taylor]: Taking taylor expansion of 0 in a 2.218 * [taylor]: Taking taylor expansion of 0 in a 2.218 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 2.218 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.218 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.218 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.219 * [taylor]: Taking taylor expansion of b in a 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.219 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.219 * [taylor]: Taking taylor expansion of a in a 2.219 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.219 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.219 * [taylor]: Taking taylor expansion of b in b 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.219 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.219 * [taylor]: Taking taylor expansion of a in b 2.219 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.219 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.219 * [taylor]: Taking taylor expansion of b in b 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.219 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.219 * [taylor]: Taking taylor expansion of a in b 2.219 * [taylor]: Taking taylor expansion of 1 in a 2.219 * [taylor]: Taking taylor expansion of 0 in a 2.220 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow a 2))) in a 2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.220 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.220 * [taylor]: Taking taylor expansion of a in a 2.220 * [taylor]: Taking taylor expansion of 0 in a 2.221 * [taylor]: Taking taylor expansion of 0 in a 2.221 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.221 * [approximate]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in (b a) around 0 2.221 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in a 2.222 * [taylor]: Taking taylor expansion of 1.0 in a 2.222 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.222 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.222 * [taylor]: Taking taylor expansion of b in a 2.222 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.222 * [taylor]: Taking taylor expansion of a in a 2.222 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in b 2.222 * [taylor]: Taking taylor expansion of 1.0 in b 2.222 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.222 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.222 * [taylor]: Taking taylor expansion of b in b 2.222 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.222 * [taylor]: Taking taylor expansion of a in b 2.222 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in b 2.222 * [taylor]: Taking taylor expansion of 1.0 in b 2.222 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.222 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.222 * [taylor]: Taking taylor expansion of b in b 2.222 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.222 * [taylor]: Taking taylor expansion of a in b 2.223 * [taylor]: Taking taylor expansion of (/ -1.0 (pow a 2)) in a 2.223 * [taylor]: Taking taylor expansion of -1.0 in a 2.223 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.223 * [taylor]: Taking taylor expansion of a in a 2.223 * [taylor]: Taking taylor expansion of 0 in a 2.224 * [taylor]: Taking taylor expansion of (neg (* 1.0 (/ 1 (pow a 4)))) in a 2.224 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 4))) in a 2.224 * [taylor]: Taking taylor expansion of 1.0 in a 2.224 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 2.224 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.224 * [taylor]: Taking taylor expansion of a in a 2.225 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 2.225 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.225 * [taylor]: Taking taylor expansion of 1.0 in a 2.225 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.225 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.225 * [taylor]: Taking taylor expansion of b in a 2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.225 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.225 * [taylor]: Taking taylor expansion of a in a 2.225 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.225 * [taylor]: Taking taylor expansion of 1.0 in b 2.225 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.225 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.225 * [taylor]: Taking taylor expansion of b in b 2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.225 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.225 * [taylor]: Taking taylor expansion of a in b 2.225 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.225 * [taylor]: Taking taylor expansion of 1.0 in b 2.225 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.225 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.225 * [taylor]: Taking taylor expansion of b in b 2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.225 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.225 * [taylor]: Taking taylor expansion of a in b 2.226 * [taylor]: Taking taylor expansion of 1.0 in a 2.226 * [taylor]: Taking taylor expansion of 0 in a 2.226 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 2.226 * [taylor]: Taking taylor expansion of 1.0 in a 2.226 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.226 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.226 * [taylor]: Taking taylor expansion of a in a 2.227 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 2.227 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.227 * [taylor]: Taking taylor expansion of 1.0 in a 2.227 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.227 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.227 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.227 * [taylor]: Taking taylor expansion of b in a 2.227 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.227 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.227 * [taylor]: Taking taylor expansion of a in a 2.227 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.227 * [taylor]: Taking taylor expansion of 1.0 in b 2.227 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.227 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.227 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.227 * [taylor]: Taking taylor expansion of b in b 2.227 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.227 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.227 * [taylor]: Taking taylor expansion of a in b 2.228 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.228 * [taylor]: Taking taylor expansion of 1.0 in b 2.228 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.228 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.228 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.228 * [taylor]: Taking taylor expansion of b in b 2.228 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.228 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.228 * [taylor]: Taking taylor expansion of a in b 2.228 * [taylor]: Taking taylor expansion of 1.0 in a 2.228 * [taylor]: Taking taylor expansion of 0 in a 2.229 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 2.229 * [taylor]: Taking taylor expansion of 1.0 in a 2.229 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.229 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.229 * [taylor]: Taking taylor expansion of a in a 2.229 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.229 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in (b a) around 0 2.229 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in a 2.230 * [taylor]: Taking taylor expansion of 0.5 in a 2.230 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in a 2.230 * [taylor]: Taking taylor expansion of PI in a 2.230 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.230 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.230 * [taylor]: Taking taylor expansion of b in a 2.230 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.230 * [taylor]: Taking taylor expansion of a in a 2.230 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in b 2.230 * [taylor]: Taking taylor expansion of 0.5 in b 2.230 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in b 2.230 * [taylor]: Taking taylor expansion of PI in b 2.230 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.230 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.230 * [taylor]: Taking taylor expansion of b in b 2.230 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.230 * [taylor]: Taking taylor expansion of a in b 2.230 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in b 2.230 * [taylor]: Taking taylor expansion of 0.5 in b 2.230 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in b 2.230 * [taylor]: Taking taylor expansion of PI in b 2.230 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.230 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.230 * [taylor]: Taking taylor expansion of b in b 2.230 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.230 * [taylor]: Taking taylor expansion of a in b 2.231 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (pow a 2))) in a 2.231 * [taylor]: Taking taylor expansion of -0.5 in a 2.231 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.231 * [taylor]: Taking taylor expansion of PI in a 2.231 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.231 * [taylor]: Taking taylor expansion of a in a 2.232 * [taylor]: Taking taylor expansion of 0 in a 2.232 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ PI (pow a 4)))) in a 2.232 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 2.232 * [taylor]: Taking taylor expansion of 0.5 in a 2.232 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 2.232 * [taylor]: Taking taylor expansion of PI in a 2.232 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.232 * [taylor]: Taking taylor expansion of a in a 2.234 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.234 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.234 * [taylor]: Taking taylor expansion of 0.5 in a 2.234 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.234 * [taylor]: Taking taylor expansion of PI in a 2.234 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.234 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.234 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.234 * [taylor]: Taking taylor expansion of b in a 2.234 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.234 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.234 * [taylor]: Taking taylor expansion of a in a 2.234 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.234 * [taylor]: Taking taylor expansion of 0.5 in b 2.234 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.234 * [taylor]: Taking taylor expansion of PI in b 2.234 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.234 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.234 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.234 * [taylor]: Taking taylor expansion of b in b 2.234 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.234 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.234 * [taylor]: Taking taylor expansion of a in b 2.234 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.234 * [taylor]: Taking taylor expansion of 0.5 in b 2.234 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.234 * [taylor]: Taking taylor expansion of PI in b 2.234 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.234 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.234 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.234 * [taylor]: Taking taylor expansion of b in b 2.234 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.234 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.234 * [taylor]: Taking taylor expansion of a in b 2.235 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.235 * [taylor]: Taking taylor expansion of 0.5 in a 2.235 * [taylor]: Taking taylor expansion of PI in a 2.235 * [taylor]: Taking taylor expansion of 0 in a 2.236 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 2.236 * [taylor]: Taking taylor expansion of 0.5 in a 2.236 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.236 * [taylor]: Taking taylor expansion of PI in a 2.236 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.236 * [taylor]: Taking taylor expansion of a in a 2.236 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.236 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.236 * [taylor]: Taking taylor expansion of 0.5 in a 2.236 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.236 * [taylor]: Taking taylor expansion of PI in a 2.236 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.236 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.236 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.237 * [taylor]: Taking taylor expansion of b in a 2.237 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.237 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.237 * [taylor]: Taking taylor expansion of a in a 2.237 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.237 * [taylor]: Taking taylor expansion of 0.5 in b 2.237 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.237 * [taylor]: Taking taylor expansion of PI in b 2.237 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.237 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.237 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.237 * [taylor]: Taking taylor expansion of b in b 2.237 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.237 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.237 * [taylor]: Taking taylor expansion of a in b 2.237 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.237 * [taylor]: Taking taylor expansion of 0.5 in b 2.237 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.237 * [taylor]: Taking taylor expansion of PI in b 2.237 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.237 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.237 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.237 * [taylor]: Taking taylor expansion of b in b 2.237 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.237 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.237 * [taylor]: Taking taylor expansion of a in b 2.238 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.238 * [taylor]: Taking taylor expansion of 0.5 in a 2.238 * [taylor]: Taking taylor expansion of PI in a 2.238 * [taylor]: Taking taylor expansion of 0 in a 2.239 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 2.239 * [taylor]: Taking taylor expansion of 0.5 in a 2.239 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.239 * [taylor]: Taking taylor expansion of PI in a 2.239 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.239 * [taylor]: Taking taylor expansion of a in a 2.239 * * * [progress]: simplifying candidates 2.242 * [simplify]: Simplifying using # : (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (+ (+ (- (log PI) (log 2.0)) (- (log 1.0) (log (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log PI) (log 2.0)) (log (/ 1.0 (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ PI 2.0)) (- (log 1.0) (log (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ PI 2.0)) (log (/ 1.0 (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (log (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (exp (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (/ (* (* 1.0 1.0) 1.0) (* (* (- (* b b) (* a a)) (- (* b b) (* a a))) (- (* b b) (* a a))))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a)))) (/ 1.0 (- (* b b) (* a a))))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (/ (* (* 1.0 1.0) 1.0) (* (* (- (* b b) (* a a)) (- (* b b) (* a a))) (- (* b b) (* a a))))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a)))) (/ 1.0 (- (* b b) (* a a))))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (cbrt (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))))) (cbrt (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* PI 1.0) (- (* 1.0 b) (* a 1.0))) (* (* 2.0 (- (* b b) (* a a))) (* a b)) (* (* PI 1.0) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* (* 2.0 (- (* b b) (* a a))) (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b))))) (* (* PI 1.0) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b)))) (* (* 2.0 (- (* b b) (* a a))) (+ (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) 1.0) (- (* 1.0 b) (* a 1.0))) (* (- (* b b) (* a a)) (* a b)) (* (* (/ PI 2.0) 1.0) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* (- (* b b) (* a a)) (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b))))) (* (* (/ PI 2.0) 1.0) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b)))) (* (- (* b b) (* a a)) (+ (/ 1.0 a) (/ 1.0 b))) (* (* PI (/ 1.0 (- (* b b) (* a a)))) (- (* 1.0 b) (* a 1.0))) (* 2.0 (* a b)) (* (* PI (/ 1.0 (- (* b b) (* a a)))) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* 2.0 (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b))))) (* (* PI (/ 1.0 (- (* b b) (* a a)))) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b)))) (* 2.0 (+ (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (/ 1.0 a)) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (neg (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (/ 1.0 a)) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (neg (/ 1.0 b))) (* (/ 1.0 a) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (neg (/ 1.0 b)) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (/ 1.0 a) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (neg (/ 1.0 b)) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (cbrt (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- (/ 1.0 a) (/ 1.0 b))))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (sqrt (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) 1) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (+ (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (+ (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (+ (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (+ (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (/ (sqrt 1.0) 1)) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (/ 1 1)) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) 1) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) 1.0) (* (/ 1.0 (- (* b b) (* a a))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (* 1.0 b) (* a 1.0))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (pow (/ 1.0 a) 3) (pow 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iteration 4 : 15 enodes (cost 5 ) 638.753 * * [simplify]: iteration 5 : 16 enodes (cost 5 ) 638.754 * * [simplify]: iteration done : 16 enodes (cost 5 ) 638.755 * * [simplify]: iteration 0 : 9 enodes (cost 11 ) 638.756 * * [simplify]: iteration 1 : 17 enodes (cost 11 ) 638.759 * * [simplify]: iteration 2 : 34 enodes (cost 11 ) 638.768 * * [simplify]: iteration 3 : 77 enodes (cost 11 ) 638.781 * * [simplify]: iteration 4 : 137 enodes (cost 11 ) 638.807 * * [simplify]: iteration 5 : 226 enodes (cost 11 ) 638.857 * * [simplify]: iteration 6 : 361 enodes (cost 11 ) 638.957 * * [simplify]: iteration 7 : 656 enodes (cost 11 ) 639.822 * * [simplify]: iteration 8 : 2216 enodes (cost 11 ) 643.817 * * [simplify]: iteration done : 5001 enodes (cost 11 ) 643.817 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 643.817 * * [simplify]: iteration done : 1 enodes (cost 1 ) 643.818 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 643.818 * * [simplify]: iteration done : 1 enodes (cost 1 ) 643.819 * * 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[simplify]: iteration 4 : 81 enodes (cost 7 ) 647.758 * * [simplify]: iteration 5 : 123 enodes (cost 7 ) 647.779 * * [simplify]: iteration 6 : 204 enodes (cost 7 ) 647.823 * * [simplify]: iteration 7 : 380 enodes (cost 7 ) 647.970 * * [simplify]: iteration 8 : 963 enodes (cost 7 ) 649.614 * * [simplify]: iteration 9 : 4078 enodes (cost 7 ) 651.636 * * [simplify]: iteration done : 5000 enodes (cost 7 ) 651.637 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 651.643 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 651.646 * * [simplify]: iteration 2 : 46 enodes (cost 7 ) 651.649 * * [simplify]: iteration 3 : 57 enodes (cost 7 ) 651.653 * * [simplify]: iteration 4 : 81 enodes (cost 7 ) 651.661 * * [simplify]: iteration 5 : 123 enodes (cost 7 ) 651.683 * * [simplify]: iteration 6 : 204 enodes (cost 7 ) 651.727 * * [simplify]: iteration 7 : 380 enodes (cost 7 ) 651.870 * * [simplify]: iteration 8 : 963 enodes (cost 7 ) 653.512 * * [simplify]: iteration 9 : 4078 enodes (cost 7 ) 655.535 * * [simplify]: iteration done : 5000 enodes (cost 7 ) 655.536 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 655.536 * * [simplify]: iteration done : 1 enodes (cost 1 ) 655.536 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 655.536 * * [simplify]: iteration done : 1 enodes (cost 1 ) 655.537 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 655.537 * * [simplify]: iteration done : 1 enodes (cost 1 ) 655.537 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 655.538 * * [simplify]: iteration done : 1 enodes (cost 1 ) 655.538 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 655.538 * * [simplify]: iteration done : 1 enodes (cost 1 ) 655.539 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 655.539 * * [simplify]: iteration done : 1 enodes (cost 1 ) 655.542 * [simplify]: Simplified to: (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (+ (+ (- (log PI) (log 2.0)) (- (log 1.0) (log (- (* b b) (* a 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1.0 a) (/ 1.0 b)) 3)) (* (cbrt (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))))) (cbrt (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (pow (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) 3) (sqrt (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* 1.0 (- b a)) 1.0) PI) (* (* 2.0 (- (* b b) (* a a))) (* a b)) (* (* PI 1.0) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* 2.0 (* (- (* b b) (* a a)) (+ (* (/ 1.0 b) (+ (/ 1.0 b) (/ 1.0 a))) (* (/ 1.0 a) (/ 1.0 a))))) (* (* PI 1.0) (* 1.0 (- (/ (/ 1.0 a) a) (/ (/ 1.0 b) b)))) (* (* 2.0 (- (* b b) (* a a))) (+ (/ 1.0 a) (/ 1.0 b))) (* (* 1.0 (- b a)) (* (/ PI 2.0) 1.0)) (* (- (* b b) (* a a)) (* a b)) (* (* (/ PI 2.0) 1.0) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* (+ (* (/ 1.0 a) (/ 1.0 a)) (* 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(- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* (/ (* (/ PI 2.0) 1.0) (- b a)) (/ (* 1.0 (- (/ (/ 1.0 a) a) (/ (/ 1.0 b) b))) (+ b a))) (* (* PI 1.0) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (* (* PI (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (exp (- (* b b) (* a a))) (log (- (* b b) (* a a))) (exp (- (* b b) (* a a))) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))) (cbrt (- (* b b) (* a a))) (pow (- (* b b) (* a a)) 3) (sqrt (- (* b b) (* a a))) (sqrt (- (* b b) (* a a))) (- (pow b 6) (pow a 6)) (+ (pow b 4) (* (* a a) (+ (* a a) (* b b)))) (neg (* a a)) (- (pow b 4) (pow a 4)) (+ (* b b) (* a a)) (+ b a) (- b a) (neg (* a a)) (- (log 1.0) (log (- (* b b) (* a a)))) (log (/ 1.0 (- (* b b) (* a a)))) (exp (/ 1.0 (- (* b b) (* a a)))) (pow (/ 1.0 (- (* b b) (* a a))) 3) (* (cbrt (/ 1.0 (- (* b b) (* a a)))) (cbrt (/ 1.0 (- (* b b) (* a a))))) (cbrt (/ 1.0 (- (* b b) (* a a)))) (pow (/ 1.0 (- (* b b) (* a a))) 3) (sqrt (/ 1.0 (- (* b b) (* 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1.0 (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ 1.0 (sqrt (- (* b b) (* a a)))) 1.0 (/ 1.0 (+ b a)) (/ (- (* b b) (* a a)) (cbrt 1.0)) (/ (- (* b b) (* a a)) (sqrt 1.0)) (/ (- (* b b) (* a a)) 1.0) (/ 1.0 (- (pow b 6) (pow a 6))) (/ 1.0 (- (pow b 4) (pow a 4))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (+ (- (log PI) (log 2.0)) (- (log 1.0) (log (- (* b b) (* a a))))) (+ (- (log PI) (log 2.0)) (log (/ 1.0 (- (* b b) (* a a))))) (+ (log (/ PI 2.0)) (- (log 1.0) (log (- (* b b) (* a a))))) (+ (log (/ PI 2.0)) (log (/ 1.0 (- (* b b) (* a a))))) (log (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (exp (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (pow (/ PI 2.0) 3) (pow (/ 1.0 (- (* b b) (* a a))) 3)) (* (pow (/ PI 2.0) 3) (pow (/ 1.0 (- (* b b) (* a a))) 3)) (* (pow (/ PI 2.0) 3) (pow (/ 1.0 (- (* b b) (* a a))) 3)) (* (pow (/ 1.0 (- (* b b) (* a a))) 3) (pow (/ PI 2.0) 3)) (* (cbrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (cbrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))))) (cbrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (pow (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) 3) (sqrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (sqrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* PI 1.0) (* 2.0 (* (- b a) (+ b a))) (* (sqrt (/ PI 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (sqrt (/ PI 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (sqrt (/ PI 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (sqrt (/ PI 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (/ PI 2.0) (* (cbrt (/ 1.0 (- (* b b) (* a a)))) (cbrt (/ 1.0 (- (* b b) (* a a)))))) (* (/ PI 2.0) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (/ PI 2.0) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))))) (* (/ PI 2.0) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (- (* b b) (* a a))))) (* (/ PI 2.0) (* (cbrt 1.0) (cbrt 1.0))) (* (/ PI 2.0) (/ (* (cbrt 1.0) (cbrt 1.0)) (+ b a))) (* (/ PI 2.0) (/ (sqrt 1.0) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))))) (* (/ PI 2.0) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (sqrt 1.0) (/ PI 2.0)) (* (/ PI 2.0) (/ (sqrt 1.0) (+ b a))) (/ (/ PI 2.0) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ (/ PI 2.0) (sqrt (- (* b b) (* a a)))) (/ PI 2.0) (/ (/ PI 2.0) (+ b a)) (/ PI 2.0) (* (/ PI 2.0) 1.0) (* (/ PI 2.0) (/ 1.0 (- (pow b 6) (pow a 6)))) (* (/ 1.0 (- (pow b 4) (pow a 4))) (/ PI 2.0)) (* (cbrt (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (sqrt (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (cbrt PI) (cbrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (cbrt PI) (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (cbrt PI) 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) (cbrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI (cbrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (/ (/ 1.0 (- (* b b) (* a a))) 2.0) (* (/ PI 2.0) 1.0) (* PI (/ 1.0 (- (* b b) (* a a)))) 0 0 0 (* (+ b a) (- b a)) (* (+ b a) (- b a)) (* (+ b a) (- b a)) 0 0 0 0 0 0 655.543 * * * [progress]: adding candidates to table 655.847 * * [progress]: iteration 2 / 4 655.847 * * * [progress]: picking best candidate 655.877 * * * * [pick]: Picked # 655.877 * * * [progress]: localizing error 655.889 * * * [progress]: generating rewritten candidates 655.889 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2 2 1) 655.899 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 655.923 * * * [progress]: generating series expansions 655.923 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2 2 1) 655.923 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (b a) around 0 655.923 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 655.924 * [taylor]: Taking taylor expansion of PI in a 655.924 * [taylor]: Taking taylor expansion of (+ a b) in a 655.924 * [taylor]: Taking taylor expansion of a in a 655.924 * [taylor]: Taking taylor expansion of b in a 655.924 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 655.924 * [taylor]: Taking taylor expansion of PI in b 655.924 * [taylor]: Taking taylor expansion of (+ a b) in b 655.924 * [taylor]: Taking taylor expansion of a in b 655.924 * [taylor]: Taking taylor expansion of b in b 655.924 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 655.924 * [taylor]: Taking taylor expansion of PI in b 655.924 * [taylor]: Taking taylor expansion of (+ a b) in b 655.924 * [taylor]: Taking taylor expansion of a in b 655.924 * [taylor]: Taking taylor expansion of b in b 655.924 * [taylor]: Taking taylor expansion of (/ PI a) in a 655.924 * [taylor]: Taking taylor expansion of PI in a 655.924 * [taylor]: Taking taylor expansion of a in a 655.924 * [taylor]: Taking taylor expansion of (neg (/ PI (pow a 2))) in a 655.924 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 655.924 * [taylor]: Taking taylor expansion of PI in a 655.924 * [taylor]: Taking taylor expansion of (pow a 2) in a 655.924 * [taylor]: Taking taylor expansion of a in a 655.925 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 655.925 * [taylor]: Taking taylor expansion of PI in a 655.925 * [taylor]: Taking taylor expansion of (pow a 3) in a 655.925 * [taylor]: Taking taylor expansion of a in a 655.926 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (b a) around 0 655.926 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 655.926 * [taylor]: Taking taylor expansion of PI in a 655.926 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 655.926 * [taylor]: Taking taylor expansion of (/ 1 a) in a 655.926 * [taylor]: Taking taylor expansion of a in a 655.926 * [taylor]: Taking taylor expansion of (/ 1 b) in a 655.926 * [taylor]: Taking taylor expansion of b in a 655.926 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 655.926 * [taylor]: Taking taylor expansion of PI in b 655.926 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 655.926 * [taylor]: Taking taylor expansion of (/ 1 a) in b 655.926 * [taylor]: Taking taylor expansion of a in b 655.926 * [taylor]: Taking taylor expansion of (/ 1 b) in b 655.926 * [taylor]: Taking taylor expansion of b in b 655.926 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 655.926 * [taylor]: Taking taylor expansion of PI in b 655.926 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 655.926 * [taylor]: Taking taylor expansion of (/ 1 a) in b 655.926 * [taylor]: Taking taylor expansion of a in b 655.926 * [taylor]: Taking taylor expansion of (/ 1 b) in b 655.926 * [taylor]: Taking taylor expansion of b in b 655.926 * [taylor]: Taking taylor expansion of PI in a 655.926 * [taylor]: Taking taylor expansion of (neg (/ PI a)) in a 655.926 * [taylor]: Taking taylor expansion of (/ PI a) in a 655.926 * [taylor]: Taking taylor expansion of PI in a 655.926 * [taylor]: Taking taylor expansion of a in a 655.927 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 655.927 * [taylor]: Taking taylor expansion of PI in a 655.927 * [taylor]: Taking taylor expansion of (pow a 2) in a 655.927 * [taylor]: Taking taylor expansion of a in a 655.927 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 655.927 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 655.927 * [taylor]: Taking taylor expansion of -1 in a 655.927 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 655.927 * [taylor]: Taking taylor expansion of PI in a 655.927 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 655.927 * [taylor]: Taking taylor expansion of (/ 1 a) in a 655.927 * [taylor]: Taking taylor expansion of a in a 655.928 * [taylor]: Taking taylor expansion of (/ 1 b) in a 655.928 * [taylor]: Taking taylor expansion of b in a 655.928 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 655.928 * [taylor]: Taking taylor expansion of -1 in b 655.928 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 655.928 * [taylor]: Taking taylor expansion of PI in b 655.928 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 655.928 * [taylor]: Taking taylor expansion of (/ 1 a) in b 655.928 * [taylor]: Taking taylor expansion of a in b 655.928 * [taylor]: Taking taylor expansion of (/ 1 b) in b 655.928 * [taylor]: Taking taylor expansion of b in b 655.928 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 655.928 * [taylor]: Taking taylor expansion of -1 in b 655.928 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 655.928 * [taylor]: Taking taylor expansion of PI in b 655.928 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 655.928 * [taylor]: Taking taylor expansion of (/ 1 a) in b 655.928 * [taylor]: Taking taylor expansion of a in b 655.928 * [taylor]: Taking taylor expansion of (/ 1 b) in b 655.928 * [taylor]: Taking taylor expansion of b in b 655.928 * [taylor]: Taking taylor expansion of (* -1 PI) in a 655.928 * [taylor]: Taking taylor expansion of -1 in a 655.928 * [taylor]: Taking taylor expansion of PI in a 655.928 * [taylor]: Taking taylor expansion of (/ PI a) in a 655.928 * [taylor]: Taking taylor expansion of PI in a 655.929 * [taylor]: Taking taylor expansion of a in a 655.929 * [taylor]: Taking taylor expansion of (neg (/ PI (pow a 2))) in a 655.929 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 655.929 * [taylor]: Taking taylor expansion of PI in a 655.929 * [taylor]: Taking taylor expansion of (pow a 2) in a 655.929 * [taylor]: Taking taylor expansion of a in a 655.930 * * * * [progress]: [ 2 / 2 ] generating series at (2) 655.930 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (* a b)))) in (b a) around 0 655.930 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (* a b)))) in a 655.930 * [taylor]: Taking taylor expansion of 0.5 in a 655.930 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (* a b))) in a 655.930 * [taylor]: Taking taylor expansion of PI in a 655.930 * [taylor]: Taking taylor expansion of (* (+ a b) (* a b)) in a 655.930 * [taylor]: Taking taylor expansion of (+ a b) in a 655.930 * [taylor]: Taking taylor expansion of a in a 655.930 * [taylor]: Taking taylor expansion of b in a 655.930 * [taylor]: Taking taylor expansion of (* a b) in a 655.931 * [taylor]: Taking taylor expansion of a in a 655.931 * [taylor]: Taking taylor expansion of b in a 655.931 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (* a b)))) in b 655.931 * [taylor]: Taking taylor expansion of 0.5 in b 655.931 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (* a b))) in b 655.931 * [taylor]: Taking taylor expansion of PI in b 655.931 * [taylor]: Taking taylor expansion of (* (+ a b) (* a b)) in b 655.931 * [taylor]: Taking taylor expansion of (+ a b) in b 655.931 * [taylor]: Taking taylor expansion of a in b 655.931 * [taylor]: Taking taylor expansion of b in b 655.931 * [taylor]: Taking taylor expansion of (* a b) in b 655.931 * [taylor]: Taking taylor expansion of a in b 655.931 * [taylor]: Taking taylor expansion of b in b 655.931 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (* a b)))) in b 655.931 * [taylor]: Taking taylor expansion of 0.5 in b 655.931 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (* a b))) in b 655.931 * [taylor]: Taking taylor expansion of PI in b 655.931 * [taylor]: Taking taylor expansion of (* (+ a b) (* a b)) in b 655.931 * [taylor]: Taking taylor expansion of (+ a b) in b 655.931 * [taylor]: Taking taylor expansion of a in b 655.932 * [taylor]: Taking taylor expansion of b in b 655.932 * [taylor]: Taking taylor expansion of (* a b) in b 655.932 * [taylor]: Taking taylor expansion of a in b 655.932 * [taylor]: Taking taylor expansion of b in b 655.932 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 655.932 * [taylor]: Taking taylor expansion of 0.5 in a 655.932 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 655.932 * [taylor]: Taking taylor expansion of PI in a 655.932 * [taylor]: Taking taylor expansion of (pow a 2) in a 655.932 * [taylor]: Taking taylor expansion of a in a 655.933 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ PI (pow a 3)))) in a 655.933 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 655.933 * [taylor]: Taking taylor expansion of 0.5 in a 655.933 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 655.933 * [taylor]: Taking taylor expansion of PI in a 655.933 * [taylor]: Taking taylor expansion of (pow a 3) in a 655.933 * [taylor]: Taking taylor expansion of a in a 655.934 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 655.934 * [taylor]: Taking taylor expansion of 0.5 in a 655.934 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 655.934 * [taylor]: Taking taylor expansion of PI in a 655.934 * [taylor]: Taking taylor expansion of (pow a 4) in a 655.934 * [taylor]: Taking taylor expansion of a in a 655.935 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 655.935 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 655.935 * [taylor]: Taking taylor expansion of 0.5 in a 655.935 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 655.935 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 655.935 * [taylor]: Taking taylor expansion of a in a 655.935 * [taylor]: Taking taylor expansion of (* b PI) in a 655.935 * [taylor]: Taking taylor expansion of b in a 655.935 * [taylor]: Taking taylor expansion of PI in a 655.935 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 655.935 * [taylor]: Taking taylor expansion of (/ 1 a) in a 655.935 * [taylor]: Taking taylor expansion of a in a 655.936 * [taylor]: Taking taylor expansion of (/ 1 b) in a 655.936 * [taylor]: Taking taylor expansion of b in a 655.936 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 655.936 * [taylor]: Taking taylor expansion of 0.5 in b 655.936 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 655.936 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 655.936 * [taylor]: Taking taylor expansion of a in b 655.936 * [taylor]: Taking taylor expansion of (* b PI) in b 655.936 * [taylor]: Taking taylor expansion of b in b 655.936 * [taylor]: Taking taylor expansion of PI in b 655.936 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 655.936 * [taylor]: Taking taylor expansion of (/ 1 a) in b 655.936 * [taylor]: Taking taylor expansion of a in b 655.936 * [taylor]: Taking taylor expansion of (/ 1 b) in b 655.936 * [taylor]: Taking taylor expansion of b in b 655.936 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 655.936 * [taylor]: Taking taylor expansion of 0.5 in b 655.936 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 655.936 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 655.936 * [taylor]: Taking taylor expansion of a in b 655.936 * [taylor]: Taking taylor expansion of (* b PI) in b 655.936 * [taylor]: Taking taylor expansion of b in b 655.936 * [taylor]: Taking taylor expansion of PI in b 655.936 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 655.936 * [taylor]: Taking taylor expansion of (/ 1 a) in b 655.936 * [taylor]: Taking taylor expansion of a in b 655.936 * [taylor]: Taking taylor expansion of (/ 1 b) in b 655.936 * [taylor]: Taking taylor expansion of b in b 655.937 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 655.937 * [taylor]: Taking taylor expansion of 0.5 in a 655.937 * [taylor]: Taking taylor expansion of (* a PI) in a 655.937 * [taylor]: Taking taylor expansion of a in a 655.937 * [taylor]: Taking taylor expansion of PI in a 655.937 * [taylor]: Taking taylor expansion of (neg (* 0.5 PI)) in a 655.937 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 655.937 * [taylor]: Taking taylor expansion of 0.5 in a 655.937 * [taylor]: Taking taylor expansion of PI in a 655.938 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 655.938 * [taylor]: Taking taylor expansion of 0.5 in a 655.938 * [taylor]: Taking taylor expansion of (/ PI a) in a 655.938 * [taylor]: Taking taylor expansion of PI in a 655.938 * [taylor]: Taking taylor expansion of a in a 655.938 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 655.938 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 655.938 * [taylor]: Taking taylor expansion of -0.5 in a 655.938 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 655.938 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 655.938 * [taylor]: Taking taylor expansion of a in a 655.938 * [taylor]: Taking taylor expansion of (* b PI) in a 655.938 * [taylor]: Taking taylor expansion of b in a 655.938 * [taylor]: Taking taylor expansion of PI in a 655.939 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 655.939 * [taylor]: Taking taylor expansion of (/ 1 a) in a 655.939 * [taylor]: Taking taylor expansion of a in a 655.939 * [taylor]: Taking taylor expansion of (/ 1 b) in a 655.939 * [taylor]: Taking taylor expansion of b in a 655.939 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 655.939 * [taylor]: Taking taylor expansion of -0.5 in b 655.939 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 655.939 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 655.939 * [taylor]: Taking taylor expansion of a in b 655.939 * [taylor]: Taking taylor expansion of (* b PI) in b 655.939 * [taylor]: Taking taylor expansion of b in b 655.939 * [taylor]: Taking taylor expansion of PI in b 655.939 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 655.939 * [taylor]: Taking taylor expansion of (/ 1 a) in b 655.939 * [taylor]: Taking taylor expansion of a in b 655.939 * [taylor]: Taking taylor expansion of (/ 1 b) in b 655.939 * [taylor]: Taking taylor expansion of b in b 655.939 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 655.939 * [taylor]: Taking taylor expansion of -0.5 in b 655.939 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 655.939 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 655.939 * [taylor]: Taking taylor expansion of a in b 655.939 * [taylor]: Taking taylor expansion of (* b PI) in b 655.939 * [taylor]: Taking taylor expansion of b in b 655.939 * [taylor]: Taking taylor expansion of PI in b 655.939 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 655.939 * [taylor]: Taking taylor expansion of (/ 1 a) in b 655.939 * [taylor]: Taking taylor expansion of a in b 655.939 * [taylor]: Taking taylor expansion of (/ 1 b) in b 655.939 * [taylor]: Taking taylor expansion of b in b 655.940 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 655.940 * [taylor]: Taking taylor expansion of -0.5 in a 655.940 * [taylor]: Taking taylor expansion of (* a PI) in a 655.940 * [taylor]: Taking taylor expansion of a in a 655.940 * [taylor]: Taking taylor expansion of PI in a 655.940 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 655.940 * [taylor]: Taking taylor expansion of 0.5 in a 655.940 * [taylor]: Taking taylor expansion of PI in a 655.941 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ PI a))) in a 655.941 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 655.941 * [taylor]: Taking taylor expansion of 0.5 in a 655.941 * [taylor]: Taking taylor expansion of (/ PI a) in a 655.941 * [taylor]: Taking taylor expansion of PI in a 655.941 * [taylor]: Taking taylor expansion of a in a 655.941 * * * [progress]: simplifying candidates 655.943 * [simplify]: Simplifying using # : (- (log PI) (log (+ b a))) (log (/ PI (+ b a))) (exp (/ PI (+ b a))) (/ (* (* PI PI) PI) (* (* (+ b a) (+ b a)) (+ b a))) (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a)))) (cbrt (/ PI (+ b a))) (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (neg PI) (neg (+ b a)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (cbrt PI) (cbrt (+ b a))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ b a))) (/ (cbrt PI) (sqrt (+ b a))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ b a)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ b a)) (/ (sqrt PI) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt PI) (cbrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ b a)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ b a)) (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (cbrt (+ b a))) (/ 1 (sqrt (+ b a))) (/ PI (sqrt (+ b a))) (/ 1 1) (/ PI (+ b a)) (/ 1 1) (/ PI (+ b a)) (/ 1 (+ b a)) (/ (+ b a) PI) (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (sqrt (+ b a))) (/ PI 1) (/ PI 1) (/ (+ b a) (cbrt PI)) (/ (+ b a) (sqrt PI)) (/ (+ b a) PI) (/ PI (+ (pow b 3) (pow a 3))) (/ PI (- (* b b) (* a a))) (- (+ (log 1.0) (+ 0 (+ (- (log PI) (log (+ b a))) (log 1.0)))) (+ (log 2.0) (+ (log a) (log b)))) (- (+ (log 1.0) (+ 0 (+ (- (log PI) (log (+ b a))) (log 1.0)))) (+ (log 2.0) (log (* a b)))) (- (+ (log 1.0) (+ 0 (+ (- (log PI) (log (+ b a))) (log 1.0)))) (log (* 2.0 (* a b)))) (- (+ (log 1.0) (+ 0 (+ (log (/ PI (+ b a))) (log 1.0)))) (+ (log 2.0) (+ (log a) (log b)))) (- (+ (log 1.0) (+ 0 (+ (log (/ PI (+ b a))) (log 1.0)))) (+ (log 2.0) (log (* a b)))) (- (+ (log 1.0) (+ 0 (+ (log (/ PI (+ b a))) (log 1.0)))) (log (* 2.0 (* a b)))) (- (+ (log 1.0) (+ 0 (log (* (/ PI (+ b a)) 1.0)))) (+ (log 2.0) (+ (log a) (log b)))) (- (+ (log 1.0) (+ 0 (log (* (/ PI (+ b a)) 1.0)))) (+ (log 2.0) (log (* a b)))) (- (+ (log 1.0) (+ 0 (log (* (/ PI (+ b a)) 1.0)))) (log (* 2.0 (* a b)))) (- (+ (log 1.0) (+ (log 1) (+ (- (log PI) (log (+ b a))) (log 1.0)))) (+ (log 2.0) (+ (log a) (log b)))) (- (+ (log 1.0) (+ (log 1) (+ (- (log PI) (log (+ b a))) (log 1.0)))) (+ (log 2.0) (log (* a b)))) (- (+ (log 1.0) (+ (log 1) (+ (- (log PI) (log (+ b a))) (log 1.0)))) (log (* 2.0 (* a b)))) (- (+ (log 1.0) (+ (log 1) (+ (log (/ PI (+ b a))) (log 1.0)))) (+ (log 2.0) (+ (log a) (log b)))) (- (+ (log 1.0) (+ (log 1) (+ (log (/ PI (+ b a))) (log 1.0)))) (+ (log 2.0) (log (* a b)))) (- (+ (log 1.0) (+ 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[simplify]: iteration 3 : 120 enodes (cost 9 ) 817.994 * * [simplify]: iteration 4 : 131 enodes (cost 9 ) 818.027 * * [simplify]: iteration done : 131 enodes (cost 9 ) 818.028 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 818.028 * * [simplify]: iteration done : 1 enodes (cost 1 ) 818.028 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 818.028 * * [simplify]: iteration done : 1 enodes (cost 1 ) 818.029 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 818.029 * * [simplify]: iteration done : 1 enodes (cost 1 ) 818.030 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 818.030 * * [simplify]: iteration done : 1 enodes (cost 1 ) 818.030 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 818.030 * * [simplify]: iteration done : 1 enodes (cost 1 ) 818.031 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 818.031 * * [simplify]: iteration done : 1 enodes (cost 1 ) 818.032 * [simplify]: Simplified to: (- (log PI) (log (+ b a))) (log (/ PI (+ b a))) (exp (/ PI (+ b a))) (pow (/ PI (+ b a)) 3) (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a)))) (cbrt (/ PI (+ b a))) (pow (/ PI (+ b a)) 3) (sqrt (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (neg PI) (neg (+ b a)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (cbrt PI) (cbrt (+ b a))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ b a))) (/ (cbrt PI) (sqrt (+ b a))) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ b a)) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ b a)) (/ (sqrt PI) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt PI) (cbrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (sqrt PI) (/ (sqrt PI) (+ b a)) (sqrt PI) (/ (sqrt PI) (+ b a)) (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (cbrt (+ b a))) (/ 1 (sqrt (+ b a))) (/ PI (sqrt (+ b a))) 1 (/ PI (+ b a)) 1 (/ PI (+ b a)) (/ 1 (+ b a)) (/ (+ b a) PI) (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (sqrt (+ b a))) PI PI (/ (+ b a) (cbrt PI)) (/ (+ b a) (sqrt PI)) (/ (+ b a) PI) (/ PI (+ (pow b 3) (pow a 3))) (/ PI (- (* b b) (* a a))) (- (+ (* 2 (log 1.0)) (- (- (log PI) (log (+ b a))) (+ (log 2.0) (log a)))) (log b)) (+ (- (log PI) (log (+ b a))) (- (* 2 (log 1.0)) (+ (log 2.0) (log (* a b))))) (+ (- (log PI) (log (+ b a))) (- (* 2 (log 1.0)) (log (* 2.0 (* a b))))) (+ (* 2 (log 1.0)) (- (log (/ PI (+ b a))) (+ (log 2.0) (+ (log a) (log b))))) (+ (log (/ PI (+ b a))) (- (* 2 (log 1.0)) (+ (log 2.0) (log (* a b))))) (- (+ (log (/ PI (+ b a))) (* 2 (log 1.0))) (log (* 2.0 (* a b)))) (- (+ (log (* (/ PI (+ b a)) 1.0)) (log 1.0)) (+ (log 2.0) (+ (log a) (log b)))) (- (+ (log (* (/ PI (+ b a)) 1.0)) (log 1.0)) (+ (log 2.0) (log (* a b)))) (- (+ (log (* (/ PI (+ b a)) 1.0)) (log 1.0)) (log (* 2.0 (* a b)))) (+ (* 2 (log 1.0)) (- (- (log PI) (log (+ b a))) (+ (log 2.0) (+ (log a) (log b))))) (+ (* 2 (log 1.0)) (- (- (log PI) (log (+ b a))) (+ (log 2.0) (log (* a b))))) (+ (* 2 (log 1.0)) (- (- (log PI) (log (+ b a))) (log (* 2.0 (* a b))))) (+ (* 2 (log 1.0)) (- (log (/ PI (+ b a))) (+ (log 2.0) (+ (log a) (log b))))) (+ (* 2 (log 1.0)) (- (log (/ PI (+ b a))) (+ (log 2.0) (log (* a b))))) (+ (* 2 (log 1.0)) (- (log (/ PI (+ b a))) (log (* 2.0 (* a b))))) (+ (- (log (* (/ PI (+ b a)) 1.0)) (+ (log 2.0) (+ (log a) (log b)))) (log 1.0)) (+ (log 1.0) (- (log (* (/ PI (+ b a)) 1.0)) (+ (log 2.0) (log (* a b))))) (+ (- (log (* (/ PI (+ b a)) 1.0)) (log (* 2.0 (* a b)))) (log 1.0)) (- (+ (log (* (/ PI (+ b a)) 1.0)) (log 1.0)) (+ (log 2.0) (+ (log a) (log b)))) (- (+ (log (* (/ PI (+ b a)) 1.0)) (log 1.0)) (+ (log 2.0) (log (* a b)))) (- (+ (log (* (/ PI (+ b a)) 1.0)) (log 1.0)) (log (* 2.0 (* a b)))) (- (log (* 1.0 (* (/ PI (+ b a)) 1.0))) (+ (log 2.0) (+ (log a) (log b)))) (- (- (log (* 1.0 (* (/ PI (+ b a)) 1.0))) (log 2.0)) (log (* a b))) (- (log (* 1.0 (* (/ PI (+ b a)) 1.0))) (log (* 2.0 (* a b)))) (log (/ (* 1.0 (* (/ PI (+ b a)) 1.0)) (* 2.0 (* a b)))) (exp (/ (* 1.0 (* (/ PI (+ b a)) 1.0)) (* 2.0 (* a b)))) (/ (pow 1.0 (* 2 3)) (/ (* (pow 2.0 3) (* (pow a 3) (pow b 3))) (/ (pow PI 3) (pow (+ b a) 3)))) (/ (/ (pow PI 3) (pow (+ b a) 3)) (/ (* (pow (* a b) 3) (pow 2.0 3)) (pow 1.0 (* 2 3)))) (/ (* (pow 1.0 (* 2 3)) (pow PI 3)) (* (pow (* 2.0 (* a b)) 3) (pow (+ b a) 3))) (/ (* (pow (/ PI (+ b a)) 3) (pow 1.0 (* 2 3))) (* (* (pow 2.0 3) (pow b 3)) (pow a 3))) (/ (* (pow (/ PI (+ b a)) 3) (pow 1.0 (* 2 3))) (* (pow 2.0 3) (pow (* a b) 3))) (/ (pow 1.0 (* 2 3)) (/ (pow (* 2.0 (* a b)) 3) (pow (/ PI (+ b a)) 3))) (/ (* (pow 1.0 3) (pow (* (/ PI (+ b a)) 1.0) 3)) (* (* (pow 2.0 3) (pow b 3)) (pow a 3))) (/ (/ (* (pow 1.0 3) (pow (* (/ PI (+ b a)) 1.0) 3)) (pow 2.0 3)) (pow (* a b) 3)) (/ (* (pow 1.0 3) (pow (* (/ PI (+ b a)) 1.0) 3)) (pow (* 2.0 (* a b)) 3)) (* (/ (pow (* (/ PI (+ b a)) 1.0) 3) (* (pow b 3) (pow a 3))) (/ (pow 1.0 3) (pow 2.0 3))) (/ (* (pow 1.0 3) (pow (* (/ PI (+ b a)) 1.0) 3)) (* (pow (* a b) 3) (pow 2.0 3))) (/ (pow (* (/ PI (+ b a)) 1.0) 3) (/ (pow (* 2.0 (* a b)) 3) (pow 1.0 3))) (/ (/ (pow (* 1.0 (* (/ PI (+ b a)) 1.0)) 3) (* (pow 2.0 3) (pow a 3))) (pow b 3)) (/ (/ (pow (* 1.0 (* (/ PI (+ b a)) 1.0)) 3) (pow 2.0 3)) (pow (* a b) 3)) (/ (pow (* 1.0 (* (/ PI (+ b a)) 1.0)) 3) (pow (* 2.0 (* a b)) 3)) (* (cbrt (/ (* 1.0 (* (/ PI (+ b a)) 1.0)) (* 2.0 (* a b)))) (cbrt (/ (* 1.0 (* (/ PI (+ b a)) 1.0)) (* 2.0 (* a b))))) (cbrt (/ (* 1.0 (* (/ PI (+ b a)) 1.0)) (* 2.0 (* a b)))) (pow (/ (* 1.0 (* (/ PI (+ b a)) 1.0)) (* 2.0 (* a b))) 3) (sqrt (/ (* 1.0 (* (/ PI (+ b a)) 1.0)) (* 2.0 (* a b)))) (sqrt (/ (* 1.0 (* (/ PI (+ b a)) 1.0)) (* 2.0 (* a b)))) (neg (* 1.0 (* (/ PI (+ b a)) 1.0))) (neg (* 2.0 (* a b))) (/ 1.0 2.0) (/ (* (/ PI (+ b a)) 1.0) (* a b)) (/ 1 (* 2.0 (* a b))) (/ (* 2.0 (* a b)) (* 1.0 (* (/ PI (+ b a)) 1.0))) (/ (* 1.0 (* (/ PI (+ b a)) 1.0)) 2.0) (/ (* 2.0 (* a b)) (* (/ PI (+ b a)) 1.0)) (* (* 2.0 (* a b)) (+ b a)) 0 0 0 0 0 0 818.033 * * * [progress]: adding candidates to table 818.192 * * [progress]: iteration 3 / 4 818.192 * * * [progress]: picking best candidate 818.224 * * * * [pick]: Picked # 818.224 * * * [progress]: localizing error 818.236 * * * [progress]: generating rewritten candidates 818.236 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 818.243 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 2 1) 818.249 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 818.294 * * * [progress]: generating series expansions 818.294 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 818.294 * [approximate]: Taking taylor expansion of (/ 0.5 (* a b)) in (a b) around 0 818.294 * [taylor]: Taking taylor expansion of (/ 0.5 (* a b)) in b 818.294 * [taylor]: Taking taylor expansion of 0.5 in b 818.294 * [taylor]: Taking taylor expansion of (* a b) in b 818.294 * [taylor]: Taking taylor expansion of a in b 818.294 * [taylor]: Taking taylor expansion of b in b 818.294 * [taylor]: Taking taylor expansion of (/ 0.5 (* a b)) in a 818.294 * [taylor]: Taking taylor expansion of 0.5 in a 818.294 * [taylor]: Taking taylor expansion of (* a b) in a 818.294 * [taylor]: Taking taylor expansion of a in a 818.294 * [taylor]: Taking taylor expansion of b in a 818.295 * [taylor]: Taking taylor expansion of (/ 0.5 (* a b)) in a 818.295 * [taylor]: Taking taylor expansion of 0.5 in a 818.295 * [taylor]: Taking taylor expansion of (* a b) in a 818.295 * [taylor]: Taking taylor expansion of a in a 818.295 * [taylor]: Taking taylor expansion of b in a 818.295 * [taylor]: Taking taylor expansion of (/ 0.5 b) in b 818.295 * [taylor]: Taking taylor expansion of 0.5 in b 818.295 * [taylor]: Taking taylor expansion of b in b 818.295 * [taylor]: Taking taylor expansion of 0 in b 818.295 * [taylor]: Taking taylor expansion of 0 in b 818.295 * [taylor]: Taking taylor expansion of 0 in b 818.296 * [approximate]: Taking taylor expansion of (* 0.5 (* a b)) in (a b) around 0 818.296 * [taylor]: Taking taylor expansion of (* 0.5 (* a b)) in b 818.296 * [taylor]: Taking taylor expansion of 0.5 in b 818.296 * [taylor]: Taking taylor expansion of (* a b) in b 818.296 * [taylor]: Taking taylor expansion of a in b 818.296 * [taylor]: Taking taylor expansion of b in b 818.296 * [taylor]: Taking taylor expansion of (* 0.5 (* a b)) in a 818.296 * [taylor]: Taking taylor expansion of 0.5 in a 818.296 * [taylor]: Taking taylor expansion of (* a b) in a 818.296 * [taylor]: Taking taylor expansion of a in a 818.296 * [taylor]: Taking taylor expansion of b in a 818.296 * [taylor]: Taking taylor expansion of (* 0.5 (* a b)) in a 818.296 * [taylor]: Taking taylor expansion of 0.5 in a 818.296 * [taylor]: Taking taylor expansion of (* a b) in a 818.296 * [taylor]: Taking taylor expansion of a in a 818.296 * [taylor]: Taking taylor expansion of b in a 818.296 * [taylor]: Taking taylor expansion of 0 in b 818.296 * [taylor]: Taking taylor expansion of (* 0.5 b) in b 818.296 * [taylor]: Taking taylor expansion of 0.5 in b 818.296 * [taylor]: Taking taylor expansion of b in b 818.296 * [taylor]: Taking taylor expansion of 0 in b 818.296 * [taylor]: Taking taylor expansion of 0 in b 818.297 * [taylor]: Taking taylor expansion of 0 in b 818.297 * [approximate]: Taking taylor expansion of (* 0.5 (* a b)) in (a b) around 0 818.297 * [taylor]: Taking taylor expansion of (* 0.5 (* a b)) in b 818.297 * [taylor]: Taking taylor expansion of 0.5 in b 818.297 * [taylor]: Taking taylor expansion of (* a b) in b 818.297 * [taylor]: Taking taylor expansion of a in b 818.297 * [taylor]: Taking taylor expansion of b in b 818.297 * [taylor]: Taking taylor expansion of (* 0.5 (* a b)) in a 818.297 * [taylor]: Taking taylor expansion of 0.5 in a 818.297 * [taylor]: Taking taylor expansion of (* a b) in a 818.297 * [taylor]: Taking taylor expansion of a in a 818.297 * [taylor]: Taking taylor expansion of b in a 818.297 * [taylor]: Taking taylor expansion of (* 0.5 (* a b)) in a 818.297 * [taylor]: Taking taylor expansion of 0.5 in a 818.297 * [taylor]: Taking taylor expansion of (* a b) in a 818.297 * [taylor]: Taking taylor expansion of a in a 818.297 * [taylor]: Taking taylor expansion of b in a 818.297 * [taylor]: Taking taylor expansion of 0 in b 818.297 * [taylor]: Taking taylor expansion of (* 0.5 b) in b 818.297 * [taylor]: Taking taylor expansion of 0.5 in b 818.297 * [taylor]: Taking taylor expansion of b in b 818.298 * [taylor]: Taking taylor expansion of 0 in b 818.298 * [taylor]: Taking taylor expansion of 0 in b 818.298 * [taylor]: Taking taylor expansion of 0 in b 818.298 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 2 1) 818.298 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (b a) around 0 818.298 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 818.298 * [taylor]: Taking taylor expansion of PI in a 818.298 * [taylor]: Taking taylor expansion of (+ a b) in a 818.298 * [taylor]: Taking taylor expansion of a in a 818.298 * [taylor]: Taking taylor expansion of b in a 818.298 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 818.298 * [taylor]: Taking taylor expansion of PI in b 818.298 * [taylor]: Taking taylor expansion of (+ a b) in b 818.298 * [taylor]: Taking taylor expansion of a in b 818.298 * [taylor]: Taking taylor expansion of b in b 818.298 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 818.298 * [taylor]: Taking taylor expansion of PI in b 818.298 * [taylor]: Taking taylor expansion of (+ a b) in b 818.298 * [taylor]: Taking taylor expansion of a in b 818.298 * [taylor]: Taking taylor expansion of b in b 818.299 * [taylor]: Taking taylor expansion of (/ PI a) in a 818.299 * [taylor]: Taking taylor expansion of PI in a 818.299 * [taylor]: Taking taylor expansion of a in a 818.299 * [taylor]: Taking taylor expansion of (neg (/ PI (pow a 2))) in a 818.299 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 818.299 * [taylor]: Taking taylor expansion of PI in a 818.299 * [taylor]: Taking taylor expansion of (pow a 2) in a 818.299 * [taylor]: Taking taylor expansion of a in a 818.299 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 818.299 * [taylor]: Taking taylor expansion of PI in a 818.299 * [taylor]: Taking taylor expansion of (pow a 3) in a 818.299 * [taylor]: Taking taylor expansion of a in a 818.300 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (b a) around 0 818.300 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 818.300 * [taylor]: Taking taylor expansion of PI in a 818.300 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 818.300 * [taylor]: Taking taylor expansion of (/ 1 a) in a 818.300 * [taylor]: Taking taylor expansion of a in a 818.300 * [taylor]: Taking taylor expansion of (/ 1 b) in a 818.300 * [taylor]: Taking taylor expansion of b in a 818.300 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 818.300 * [taylor]: Taking taylor expansion of PI in b 818.300 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 818.300 * [taylor]: Taking taylor expansion of (/ 1 a) in b 818.300 * [taylor]: Taking taylor expansion of a in b 818.300 * [taylor]: Taking taylor expansion of (/ 1 b) in b 818.300 * [taylor]: Taking taylor expansion of b in b 818.300 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 818.300 * [taylor]: Taking taylor expansion of PI in b 818.300 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 818.301 * [taylor]: Taking taylor expansion of (/ 1 a) in b 818.301 * [taylor]: Taking taylor expansion of a in b 818.301 * [taylor]: Taking taylor expansion of (/ 1 b) in b 818.301 * [taylor]: Taking taylor expansion of b in b 818.301 * [taylor]: Taking taylor expansion of PI in a 818.301 * [taylor]: Taking taylor expansion of (neg (/ PI a)) in a 818.301 * [taylor]: Taking taylor expansion of (/ PI a) in a 818.301 * [taylor]: Taking taylor expansion of PI in a 818.301 * [taylor]: Taking taylor expansion of a in a 818.301 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 818.301 * [taylor]: Taking taylor expansion of PI in a 818.301 * [taylor]: Taking taylor expansion of (pow a 2) in a 818.301 * [taylor]: Taking taylor expansion of a in a 818.302 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 818.302 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 818.302 * [taylor]: Taking taylor expansion of -1 in a 818.302 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 818.302 * [taylor]: Taking taylor expansion of PI in a 818.302 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 818.302 * [taylor]: Taking taylor expansion of (/ 1 a) in a 818.302 * [taylor]: Taking taylor expansion of a in a 818.302 * [taylor]: Taking taylor expansion of (/ 1 b) in a 818.302 * [taylor]: Taking taylor expansion of b in a 818.302 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 818.302 * [taylor]: Taking taylor expansion of -1 in b 818.302 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 818.302 * [taylor]: Taking taylor expansion of PI in b 818.302 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 818.302 * [taylor]: Taking taylor expansion of (/ 1 a) in b 818.302 * [taylor]: Taking taylor expansion of a in b 818.302 * [taylor]: Taking taylor expansion of (/ 1 b) in b 818.302 * [taylor]: Taking taylor expansion of b in b 818.302 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 818.302 * [taylor]: Taking taylor expansion of -1 in b 818.302 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 818.302 * [taylor]: Taking taylor expansion of PI in b 818.302 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 818.302 * [taylor]: Taking taylor expansion of (/ 1 a) in b 818.302 * [taylor]: Taking taylor expansion of a in b 818.303 * [taylor]: Taking taylor expansion of (/ 1 b) in b 818.303 * [taylor]: Taking taylor expansion of b in b 818.303 * [taylor]: Taking taylor expansion of (* -1 PI) in a 818.303 * [taylor]: Taking taylor expansion of -1 in a 818.303 * [taylor]: Taking taylor expansion of PI in a 818.303 * [taylor]: Taking taylor expansion of (/ PI a) in a 818.303 * [taylor]: Taking taylor expansion of PI in a 818.303 * [taylor]: Taking taylor expansion of a in a 818.303 * [taylor]: Taking taylor expansion of (neg (/ PI (pow a 2))) in a 818.304 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 818.304 * [taylor]: Taking taylor expansion of PI in a 818.304 * [taylor]: Taking taylor expansion of (pow a 2) in a 818.304 * [taylor]: Taking taylor expansion of a in a 818.304 * * * * [progress]: [ 3 / 3 ] generating series at (2) 818.304 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (* a b)))) in (b a) around 0 818.304 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (* a b)))) in a 818.304 * [taylor]: Taking taylor expansion of 0.5 in a 818.304 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (* a b))) in a 818.304 * [taylor]: Taking taylor expansion of PI in a 818.304 * [taylor]: Taking taylor expansion of (* (+ a b) (* a b)) in a 818.304 * [taylor]: Taking taylor expansion of (+ a b) in a 818.304 * [taylor]: Taking taylor expansion of a in a 818.304 * [taylor]: Taking taylor expansion of b in a 818.304 * [taylor]: Taking taylor expansion of (* a b) in a 818.304 * [taylor]: Taking taylor expansion of a in a 818.304 * [taylor]: Taking taylor expansion of b in a 818.305 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (* a b)))) in b 818.305 * [taylor]: Taking taylor expansion of 0.5 in b 818.305 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (* a b))) in b 818.305 * [taylor]: Taking taylor expansion of PI in b 818.305 * [taylor]: Taking taylor expansion of (* (+ a b) (* a b)) in b 818.305 * [taylor]: Taking taylor expansion of (+ a b) in b 818.305 * [taylor]: Taking taylor expansion of a in b 818.305 * [taylor]: Taking taylor expansion of b in b 818.305 * [taylor]: Taking taylor expansion of (* a b) in b 818.305 * [taylor]: Taking taylor expansion of a in b 818.305 * [taylor]: Taking taylor expansion of b in b 818.305 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (* a b)))) in b 818.305 * [taylor]: Taking taylor expansion of 0.5 in b 818.305 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (* a b))) in b 818.305 * [taylor]: Taking taylor expansion of PI in b 818.305 * [taylor]: Taking taylor expansion of (* (+ a b) (* a b)) in b 818.305 * [taylor]: Taking taylor expansion of (+ a b) in b 818.305 * [taylor]: Taking taylor expansion of a in b 818.305 * [taylor]: Taking taylor expansion of b in b 818.305 * [taylor]: Taking taylor expansion of (* a b) in b 818.305 * [taylor]: Taking taylor expansion of a in b 818.305 * [taylor]: Taking taylor expansion of b in b 818.305 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 818.305 * [taylor]: Taking taylor expansion of 0.5 in a 818.306 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 818.306 * [taylor]: Taking taylor expansion of PI in a 818.306 * [taylor]: Taking taylor expansion of (pow a 2) in a 818.306 * [taylor]: Taking taylor expansion of a in a 818.306 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ PI (pow a 3)))) in a 818.306 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 818.306 * [taylor]: Taking taylor expansion of 0.5 in a 818.306 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 818.306 * [taylor]: Taking taylor expansion of PI in a 818.306 * [taylor]: Taking taylor expansion of (pow a 3) in a 818.306 * [taylor]: Taking taylor expansion of a in a 818.307 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 818.307 * [taylor]: Taking taylor expansion of 0.5 in a 818.307 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 818.307 * [taylor]: Taking taylor expansion of PI in a 818.308 * [taylor]: Taking taylor expansion of (pow a 4) in a 818.308 * [taylor]: Taking taylor expansion of a in a 818.309 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 818.309 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 818.309 * [taylor]: Taking taylor expansion of 0.5 in a 818.309 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 818.309 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 818.309 * [taylor]: Taking taylor expansion of a in a 818.309 * [taylor]: Taking taylor expansion of (* b PI) in a 818.309 * [taylor]: Taking taylor expansion of b in a 818.309 * [taylor]: Taking taylor expansion of PI in a 818.309 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 818.309 * [taylor]: Taking taylor expansion of (/ 1 a) in a 818.309 * [taylor]: Taking taylor expansion of a in a 818.309 * [taylor]: Taking taylor expansion of (/ 1 b) in a 818.309 * [taylor]: Taking taylor expansion of b in a 818.309 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 818.309 * [taylor]: Taking taylor expansion of 0.5 in b 818.309 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 818.309 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 818.309 * [taylor]: Taking taylor expansion of a in b 818.309 * [taylor]: Taking taylor expansion of (* b PI) in b 818.309 * [taylor]: Taking taylor expansion of b in b 818.309 * [taylor]: Taking taylor expansion of PI in b 818.309 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 818.309 * [taylor]: Taking taylor expansion of (/ 1 a) in b 818.309 * [taylor]: Taking taylor expansion of a in b 818.309 * [taylor]: Taking taylor expansion of (/ 1 b) in b 818.309 * [taylor]: Taking taylor expansion of b in b 818.309 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 818.309 * [taylor]: Taking taylor expansion of 0.5 in b 818.309 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 818.309 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 818.309 * [taylor]: Taking taylor expansion of a in b 818.309 * [taylor]: Taking taylor expansion of (* b PI) in b 818.309 * [taylor]: Taking taylor expansion of b in b 818.310 * [taylor]: Taking taylor expansion of PI in b 818.310 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 818.310 * [taylor]: Taking taylor expansion of (/ 1 a) in b 818.310 * [taylor]: Taking taylor expansion of a in b 818.310 * [taylor]: Taking taylor expansion of (/ 1 b) in b 818.310 * [taylor]: Taking taylor expansion of b in b 818.310 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 818.310 * [taylor]: Taking taylor expansion of 0.5 in a 818.310 * [taylor]: Taking taylor expansion of (* a PI) in a 818.310 * [taylor]: Taking taylor expansion of a in a 818.310 * [taylor]: Taking taylor expansion of PI in a 818.310 * [taylor]: Taking taylor expansion of (neg (* 0.5 PI)) in a 818.310 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 818.310 * [taylor]: Taking taylor expansion of 0.5 in a 818.310 * [taylor]: Taking taylor expansion of PI in a 818.311 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 818.311 * [taylor]: Taking taylor expansion of 0.5 in a 818.311 * [taylor]: Taking taylor expansion of (/ PI a) in a 818.311 * [taylor]: Taking taylor expansion of PI in a 818.311 * [taylor]: Taking taylor expansion of a in a 818.312 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 818.312 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 818.312 * [taylor]: Taking taylor expansion of -0.5 in a 818.312 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 818.312 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 818.312 * [taylor]: Taking taylor expansion of a in a 818.312 * [taylor]: Taking taylor expansion of (* b PI) in a 818.312 * [taylor]: Taking taylor expansion of b in a 818.312 * [taylor]: Taking taylor expansion of PI in a 818.312 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 818.312 * [taylor]: Taking taylor expansion of (/ 1 a) in a 818.312 * [taylor]: Taking taylor expansion of a in a 818.312 * [taylor]: Taking taylor expansion of (/ 1 b) in a 818.312 * [taylor]: Taking taylor expansion of b in a 818.312 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 818.312 * [taylor]: Taking taylor expansion of -0.5 in b 818.312 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 818.312 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 818.312 * [taylor]: Taking taylor expansion of a in b 818.312 * [taylor]: Taking taylor expansion of (* b PI) in b 818.312 * [taylor]: Taking taylor expansion of b in b 818.312 * [taylor]: Taking taylor expansion of PI in b 818.312 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 818.312 * [taylor]: Taking taylor expansion of (/ 1 a) in b 818.312 * [taylor]: Taking taylor expansion of a in b 818.313 * [taylor]: Taking taylor expansion of (/ 1 b) in b 818.313 * [taylor]: Taking taylor expansion of b in b 818.313 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 818.313 * [taylor]: Taking taylor expansion of -0.5 in b 818.313 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 818.313 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 818.313 * [taylor]: Taking taylor expansion of a in b 818.313 * [taylor]: Taking taylor expansion of (* b PI) in b 818.313 * [taylor]: Taking taylor expansion of b in b 818.313 * [taylor]: Taking taylor expansion of PI in b 818.313 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 818.313 * [taylor]: Taking taylor expansion of (/ 1 a) in b 818.313 * [taylor]: Taking taylor expansion of a in b 818.313 * [taylor]: Taking taylor expansion of (/ 1 b) in b 818.313 * [taylor]: Taking taylor expansion of b in b 818.313 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 818.313 * [taylor]: Taking taylor expansion of -0.5 in a 818.313 * [taylor]: Taking taylor expansion of (* a PI) in a 818.313 * [taylor]: Taking taylor expansion of a in a 818.313 * [taylor]: Taking taylor expansion of PI in a 818.314 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 818.314 * [taylor]: Taking taylor expansion of 0.5 in a 818.314 * [taylor]: Taking taylor expansion of PI in a 818.314 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ PI a))) in a 818.314 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 818.314 * [taylor]: Taking taylor expansion of 0.5 in a 818.314 * [taylor]: Taking taylor expansion of (/ PI a) in a 818.314 * [taylor]: Taking taylor expansion of PI in a 818.314 * [taylor]: Taking taylor expansion of a in a 818.315 * * * [progress]: simplifying candidates 818.318 * [simplify]: Simplifying using # : (neg 1) 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(cbrt 1)) 2.0)) (* (* 1.0 (* 1 (* (/ PI (+ b a)) 1.0))) (/ (sqrt 1) 2.0)) (* (* 1.0 (* 1 (* (/ PI (+ b a)) 1.0))) (/ 1 2.0)) (* (* 1.0 (* 1 (* (/ PI (+ b a)) 1.0))) 1) (* (* 1.0 (* 1 (* (/ PI (+ b a)) 1.0))) 1) (* (* 1 (* (/ PI (+ b a)) 1.0)) (/ 1 (* 2.0 (* a b)))) (* (* 1.0 (* 1 (* (/ PI (+ b a)) 1.0))) 1) (* (* 1.0 (* 1 (* PI 1.0))) (/ 1 (* 2.0 (* a b)))) (/ 0.5 (* a b)) (/ 0.5 (* a b)) (/ 0.5 (* a b)) 0 0 0 0 0 0 818.318 * * [simplify]: iteration 0 : 2 enodes (cost 2 ) 818.319 * * [simplify]: iteration 1 : 5 enodes (cost 1 ) 818.319 * * [simplify]: iteration done : 5 enodes (cost 1 ) 818.319 * * [simplify]: iteration 0 : 2 enodes (cost 2 ) 818.320 * * [simplify]: iteration 1 : 5 enodes (cost 1 ) 818.320 * * [simplify]: iteration done : 5 enodes (cost 1 ) 818.320 * * [simplify]: iteration 0 : 2 enodes (cost 2 ) 818.321 * * [simplify]: iteration 1 : 5 enodes (cost 1 ) 818.321 * * [simplify]: iteration done : 5 enodes (cost 1 ) 818.322 * * [simplify]: iteration 0 : 9 enodes (cost 9 ) 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11 : 2653 enodes (cost 11 ) 1187.371 * * [simplify]: iteration 12 : 2674 enodes (cost 11 ) 1188.740 * * [simplify]: iteration 13 : 2675 enodes (cost 11 ) 1190.076 * * [simplify]: iteration done : 2675 enodes (cost 11 ) 1190.077 * * [simplify]: iteration 0 : 11 enodes (cost 13 ) 1190.079 * * [simplify]: iteration 1 : 26 enodes (cost 9 ) 1190.086 * * [simplify]: iteration 2 : 67 enodes (cost 9 ) 1190.098 * * [simplify]: iteration 3 : 112 enodes (cost 9 ) 1190.123 * * [simplify]: iteration 4 : 159 enodes (cost 9 ) 1190.144 * * [simplify]: iteration 5 : 198 enodes (cost 9 ) 1190.186 * * [simplify]: iteration 6 : 217 enodes (cost 9 ) 1190.222 * * [simplify]: iteration done : 217 enodes (cost 9 ) 1190.222 * * [simplify]: iteration 0 : 11 enodes (cost 13 ) 1190.225 * * [simplify]: iteration 1 : 26 enodes (cost 9 ) 1190.233 * * [simplify]: iteration 2 : 67 enodes (cost 9 ) 1190.244 * * [simplify]: iteration 3 : 112 enodes (cost 9 ) 1190.263 * * [simplify]: iteration 4 : 159 enodes (cost 9 ) 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iteration done : 217 enodes (cost 9 ) 1195.470 * * [simplify]: iteration 0 : 13 enodes (cost 15 ) 1195.472 * * [simplify]: iteration 1 : 33 enodes (cost 13 ) 1195.480 * * [simplify]: iteration 2 : 106 enodes (cost 11 ) 1195.524 * * [simplify]: iteration 3 : 434 enodes (cost 11 ) 1196.419 * * [simplify]: iteration 4 : 1961 enodes (cost 11 ) 1202.467 * * [simplify]: iteration 5 : 4196 enodes (cost 11 ) 1207.162 * * [simplify]: iteration 6 : 4496 enodes (cost 11 ) 1211.060 * * [simplify]: iteration done : 4496 enodes (cost 11 ) 1211.061 * * [simplify]: iteration 0 : 5 enodes (cost 5 ) 1211.062 * * [simplify]: iteration 1 : 8 enodes (cost 5 ) 1211.063 * * [simplify]: iteration 2 : 10 enodes (cost 5 ) 1211.064 * * [simplify]: iteration done : 10 enodes (cost 5 ) 1211.065 * * [simplify]: iteration 0 : 5 enodes (cost 5 ) 1211.066 * * [simplify]: iteration 1 : 8 enodes (cost 5 ) 1211.067 * * [simplify]: iteration 2 : 10 enodes (cost 5 ) 1211.069 * * [simplify]: iteration done : 10 enodes (cost 5 ) 1211.069 * * [simplify]: iteration 0 : 5 enodes (cost 5 ) 1211.070 * * [simplify]: iteration 1 : 8 enodes (cost 5 ) 1211.072 * * [simplify]: iteration 2 : 10 enodes (cost 5 ) 1211.074 * * [simplify]: iteration done : 10 enodes (cost 5 ) 1211.075 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 1211.075 * * [simplify]: iteration done : 1 enodes (cost 1 ) 1211.075 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 1211.076 * * [simplify]: iteration done : 1 enodes (cost 1 ) 1211.076 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 1211.076 * * [simplify]: iteration done : 1 enodes (cost 1 ) 1211.077 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 1211.077 * * [simplify]: iteration done : 1 enodes (cost 1 ) 1211.078 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 1211.078 * * [simplify]: iteration done : 1 enodes (cost 1 ) 1211.078 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 1211.079 * * [simplify]: iteration done : 1 enodes (cost 1 ) 1211.081 * [simplify]: Simplified to: -1 -1 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a)) 1.0))) (log (* 2.0 (* a b)))) (log (/ (* (* (/ PI (+ b a)) 1.0) 1.0) (* 2.0 (* a b)))) (exp (* 1.0 (/ (* (/ PI (+ b a)) 1.0) (* 2.0 (* a b))))) (/ (* (/ (pow 1.0 6) (pow 2.0 3)) (/ (pow (/ PI (+ b a)) 3) (pow a 3))) (pow b 3)) (/ (/ (pow 1.0 6) (/ (pow (* a b) 3) (pow (/ PI (+ b a)) 3))) (pow 2.0 3)) (/ (pow 1.0 6) (/ (pow (* 2.0 (* a b)) 3) (pow (/ PI (+ b a)) 3))) (* (* (pow (/ 1 (* 2.0 (* a b))) 3) (pow (/ PI (+ b a)) 3)) (pow 1.0 6)) (* (/ (pow 1.0 6) (* (pow a 3) (pow 2.0 3))) (/ (pow (/ PI (+ b a)) 3) (pow b 3))) (/ (pow (/ PI (+ b a)) 3) (/ (* (pow 2.0 3) (pow (* a b) 3)) (pow 1.0 6))) (/ (pow (/ PI (+ b a)) 3) (/ (pow (* 2.0 (* a b)) 3) (pow 1.0 6))) (* (pow 1.0 6) (* (pow (/ PI (+ b a)) 3) (pow (/ 1 (* 2.0 (* a b))) 3))) (/ (/ (* (pow 1.0 3) (pow (* (/ PI (+ b a)) 1.0) 3)) (* (pow a 3) (pow 2.0 3))) (pow b 3)) (* (pow 1.0 3) (/ (pow (* (/ PI (+ b a)) 1.0) 3) (* (pow 2.0 3) (pow (* a b) 3)))) (/ (* (pow 1.0 3) (pow (* (/ PI (+ b a)) 1.0) 3)) (pow (* 2.0 (* a b)) 3)) (* (* (pow 1.0 3) (pow (* (/ PI (+ b a)) 1.0) 3)) (pow (/ 1 (* 2.0 (* a b))) 3)) (/ (/ (* (pow 1.0 3) (pow (* (/ PI (+ b a)) 1.0) 3)) (* (pow a 3) (pow b 3))) (pow 2.0 3)) (* (/ (pow (* (/ PI (+ b a)) 1.0) 3) (* (pow 2.0 3) (pow (* a b) 3))) (pow 1.0 3)) (* (/ (pow (* (/ PI (+ b a)) 1.0) 3) (pow (* 2.0 (* a b)) 3)) (pow 1.0 3)) (* (pow 1.0 3) (* (pow (* (/ PI (+ b a)) 1.0) 3) (pow (/ 1 (* 2.0 (* a b))) 3))) (/ (/ (pow (* 1.0 (* (/ PI (+ b a)) 1.0)) 3) (* (pow a 3) (pow 2.0 3))) (pow b 3)) (/ (/ (pow (* 1.0 (* (/ PI (+ b a)) 1.0)) 3) (pow 2.0 3)) (pow (* a b) 3)) (/ (pow (* 1.0 (* (/ PI (+ b a)) 1.0)) 3) (pow (* 2.0 (* a b)) 3)) (* (pow (/ 1 (* 2.0 (* a b))) 3) (pow (* 1.0 (* (/ PI (+ b a)) 1.0)) 3)) (* (cbrt (/ (* 1.0 (* (/ PI (+ b a)) 1.0)) (* 2.0 (* a b)))) (cbrt (/ (* 1.0 (* (/ PI (+ b a)) 1.0)) (* 2.0 (* a b))))) (cbrt (* 1.0 (/ (* (/ PI (+ b a)) 1.0) (* 2.0 (* a b))))) (pow (/ (* 1.0 (* (/ PI (+ b a)) 1.0)) (* 2.0 (* a b))) 3) (sqrt (* 1.0 (/ (* (/ PI (+ b a)) 1.0) (* 2.0 (* a b))))) (sqrt (* 1.0 (/ (* (/ PI (+ b a)) 1.0) (* 2.0 (* a b))))) (* (* PI 1.0) 1.0) (* (+ b a) (* 2.0 (* a b))) (* (* (cbrt (/ 1 (* 2.0 (* a b)))) (cbrt (/ 1 (* 2.0 (* a b))))) (* 1.0 (* (/ PI (+ b a)) 1.0))) (* (* 1.0 (* (/ PI (+ b a)) 1.0)) (sqrt (/ 1 (* 2.0 (* a b))))) (/ (* 1.0 (* (/ PI (+ b a)) 1.0)) 2.0) (* 1.0 (/ (* (/ PI (+ b a)) 1.0) 2.0)) (/ (* 1.0 (* (/ PI (+ b a)) 1.0)) 2.0) (* 1.0 (* (/ PI (+ b a)) 1.0)) (* 1.0 (* (/ PI (+ b a)) 1.0)) (/ (* (/ PI (+ b a)) 1.0) (* 2.0 (* a b))) (* 1.0 (* (/ PI (+ b a)) 1.0)) (/ (* (* PI 1.0) 1.0) (* 2.0 (* a b))) (/ 0.5 (* a b)) (/ 0.5 (* a b)) (/ 0.5 (* a b)) 0 0 0 0 0 0 1211.083 * * * [progress]: adding candidates to table 1211.328 * * [progress]: iteration 4 / 4 1211.328 * * * [progress]: picking best candidate 1211.354 * * * * [pick]: Picked # 1211.355 * * * [progress]: localizing error 1211.367 * * * [progress]: generating rewritten candidates 1211.368 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2 2 1 2) 1211.375 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 2 1) 1211.384 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1211.431 * * * [progress]: generating series expansions 1211.431 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2 2 1 2) 1211.431 * [approximate]: Taking taylor expansion of (/ (+ a b) PI) in (b a) around 0 1211.431 * [taylor]: Taking taylor expansion of (/ (+ a b) PI) in a 1211.431 * [taylor]: Taking taylor expansion of (+ a b) in a 1211.431 * [taylor]: Taking taylor expansion of a in a 1211.431 * [taylor]: Taking taylor expansion of b in a 1211.432 * [taylor]: Taking taylor expansion of PI in a 1211.432 * [taylor]: Taking taylor expansion of (/ (+ a b) PI) in b 1211.432 * [taylor]: Taking taylor expansion of (+ a b) in b 1211.432 * [taylor]: Taking taylor expansion of a in b 1211.432 * [taylor]: Taking taylor expansion of b in b 1211.432 * [taylor]: Taking taylor expansion of PI in b 1211.432 * [taylor]: Taking taylor expansion of (/ (+ a b) PI) in b 1211.432 * [taylor]: Taking taylor expansion of (+ a b) in b 1211.432 * [taylor]: Taking taylor expansion of a in b 1211.432 * [taylor]: Taking taylor expansion of b in b 1211.432 * [taylor]: Taking taylor expansion of PI in b 1211.432 * [taylor]: Taking taylor expansion of (/ a PI) in a 1211.432 * [taylor]: Taking taylor expansion of a in a 1211.432 * [taylor]: Taking taylor expansion of PI in a 1211.432 * [taylor]: Taking taylor expansion of (/ 1 PI) in a 1211.432 * [taylor]: Taking taylor expansion of PI in a 1211.432 * [taylor]: Taking taylor expansion of 0 in a 1211.433 * [taylor]: Taking taylor expansion of 0 in a 1211.433 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in (b a) around 0 1211.433 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a 1211.433 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1211.433 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1211.433 * [taylor]: Taking taylor expansion of a in a 1211.433 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1211.433 * [taylor]: Taking taylor expansion of b in a 1211.433 * [taylor]: Taking taylor expansion of PI in a 1211.433 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in b 1211.433 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1211.433 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1211.433 * [taylor]: Taking taylor expansion of a in b 1211.433 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1211.433 * [taylor]: Taking taylor expansion of b in b 1211.433 * [taylor]: Taking taylor expansion of PI in b 1211.433 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in b 1211.433 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1211.433 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1211.433 * [taylor]: Taking taylor expansion of a in b 1211.433 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1211.433 * [taylor]: Taking taylor expansion of b in b 1211.433 * [taylor]: Taking taylor expansion of PI in b 1211.433 * [taylor]: Taking taylor expansion of (/ 1 PI) in a 1211.433 * [taylor]: Taking taylor expansion of PI in a 1211.434 * [taylor]: Taking taylor expansion of (/ 1 (* a PI)) in a 1211.434 * [taylor]: Taking taylor expansion of (* a PI) in a 1211.434 * [taylor]: Taking taylor expansion of a in a 1211.434 * [taylor]: Taking taylor expansion of PI in a 1211.434 * [taylor]: Taking taylor expansion of 0 in a 1211.434 * [taylor]: Taking taylor expansion of 0 in a 1211.435 * [taylor]: Taking taylor expansion of 0 in a 1211.435 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 a) (/ 1 b)) PI)) in (b a) around 0 1211.435 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 a) (/ 1 b)) PI)) in a 1211.435 * [taylor]: Taking taylor expansion of -1 in a 1211.435 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a 1211.435 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1211.435 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1211.435 * [taylor]: Taking taylor expansion of a in a 1211.435 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1211.435 * [taylor]: Taking taylor expansion of b in a 1211.435 * [taylor]: Taking taylor expansion of PI in a 1211.435 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 a) (/ 1 b)) PI)) in b 1211.435 * [taylor]: Taking taylor expansion of -1 in b 1211.435 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in b 1211.435 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1211.435 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1211.435 * [taylor]: Taking taylor expansion of a in b 1211.435 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1211.435 * [taylor]: Taking taylor expansion of b in b 1211.436 * [taylor]: Taking taylor expansion of PI in b 1211.436 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 a) (/ 1 b)) PI)) in b 1211.436 * [taylor]: Taking taylor expansion of -1 in b 1211.436 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in b 1211.436 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1211.436 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1211.436 * [taylor]: Taking taylor expansion of a in b 1211.436 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1211.436 * [taylor]: Taking taylor expansion of b in b 1211.436 * [taylor]: Taking taylor expansion of PI in b 1211.436 * [taylor]: Taking taylor expansion of (/ -1 PI) in a 1211.436 * [taylor]: Taking taylor expansion of -1 in a 1211.436 * [taylor]: Taking taylor expansion of PI in a 1211.436 * [taylor]: Taking taylor expansion of (neg (/ 1 (* a PI))) in a 1211.436 * [taylor]: Taking taylor expansion of (/ 1 (* a PI)) in a 1211.436 * [taylor]: Taking taylor expansion of (* a PI) in a 1211.436 * [taylor]: Taking taylor expansion of a in a 1211.436 * [taylor]: Taking taylor expansion of PI in a 1211.437 * [taylor]: Taking taylor expansion of 0 in a 1211.437 * [taylor]: Taking taylor expansion of 0 in a 1211.438 * [taylor]: Taking taylor expansion of 0 in a 1211.438 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 2 1) 1211.438 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (b a) around 0 1211.438 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 1211.438 * [taylor]: Taking taylor expansion of PI in a 1211.438 * [taylor]: Taking taylor expansion of (+ a b) in a 1211.438 * [taylor]: Taking taylor expansion of a in a 1211.438 * [taylor]: Taking taylor expansion of b in a 1211.438 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 1211.438 * [taylor]: Taking taylor expansion of PI in b 1211.438 * [taylor]: Taking taylor expansion of (+ a b) in b 1211.438 * [taylor]: Taking taylor expansion of a in b 1211.438 * [taylor]: Taking taylor expansion of b in b 1211.438 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 1211.438 * [taylor]: Taking taylor expansion of PI in b 1211.438 * [taylor]: Taking taylor expansion of (+ a b) in b 1211.438 * [taylor]: Taking taylor expansion of a in b 1211.438 * [taylor]: Taking taylor expansion of b in b 1211.438 * [taylor]: Taking taylor expansion of (/ PI a) in a 1211.439 * [taylor]: Taking taylor expansion of PI in a 1211.439 * [taylor]: Taking taylor expansion of a in a 1211.439 * [taylor]: Taking taylor expansion of (neg (/ PI (pow a 2))) in a 1211.439 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 1211.439 * [taylor]: Taking taylor expansion of PI in a 1211.439 * [taylor]: Taking taylor expansion of (pow a 2) in a 1211.439 * [taylor]: Taking taylor expansion of a in a 1211.439 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 1211.439 * [taylor]: Taking taylor expansion of PI in a 1211.439 * [taylor]: Taking taylor expansion of (pow a 3) in a 1211.439 * [taylor]: Taking taylor expansion of a in a 1211.440 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (b a) around 0 1211.440 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1211.440 * [taylor]: Taking taylor expansion of PI in a 1211.440 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1211.440 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1211.440 * [taylor]: Taking taylor expansion of a in a 1211.440 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1211.440 * [taylor]: Taking taylor expansion of b in a 1211.440 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 1211.440 * [taylor]: Taking taylor expansion of PI in b 1211.440 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1211.440 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1211.440 * [taylor]: Taking taylor expansion of a in b 1211.440 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1211.440 * [taylor]: Taking taylor expansion of b in b 1211.440 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 1211.440 * [taylor]: Taking taylor expansion of PI in b 1211.441 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1211.441 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1211.441 * [taylor]: Taking taylor expansion of a in b 1211.441 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1211.441 * [taylor]: Taking taylor expansion of b in b 1211.441 * [taylor]: Taking taylor expansion of PI in a 1211.441 * [taylor]: Taking taylor expansion of (neg (/ PI a)) in a 1211.441 * [taylor]: Taking taylor expansion of (/ PI a) in a 1211.441 * [taylor]: Taking taylor expansion of PI in a 1211.441 * [taylor]: Taking taylor expansion of a in a 1211.441 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 1211.441 * [taylor]: Taking taylor expansion of PI in a 1211.441 * [taylor]: Taking taylor expansion of (pow a 2) in a 1211.441 * [taylor]: Taking taylor expansion of a in a 1211.442 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 1211.442 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 1211.442 * [taylor]: Taking taylor expansion of -1 in a 1211.442 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1211.442 * [taylor]: Taking taylor expansion of PI in a 1211.442 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1211.442 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1211.442 * [taylor]: Taking taylor expansion of a in a 1211.442 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1211.442 * [taylor]: Taking taylor expansion of b in a 1211.442 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 1211.442 * [taylor]: Taking taylor expansion of -1 in b 1211.442 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 1211.442 * [taylor]: Taking taylor expansion of PI in b 1211.442 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1211.442 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1211.442 * [taylor]: Taking taylor expansion of a in b 1211.442 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1211.442 * [taylor]: Taking taylor expansion of b in b 1211.443 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 1211.443 * [taylor]: Taking taylor expansion of -1 in b 1211.443 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 1211.443 * [taylor]: Taking taylor expansion of PI in b 1211.443 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1211.443 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1211.443 * [taylor]: Taking taylor expansion of a in b 1211.443 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1211.443 * [taylor]: Taking taylor expansion of b in b 1211.443 * [taylor]: Taking taylor expansion of (* -1 PI) in a 1211.443 * [taylor]: Taking taylor expansion of -1 in a 1211.443 * [taylor]: Taking taylor expansion of PI in a 1211.443 * [taylor]: Taking taylor expansion of (/ PI a) in a 1211.443 * [taylor]: Taking taylor expansion of PI in a 1211.443 * [taylor]: Taking taylor expansion of a in a 1211.444 * [taylor]: Taking taylor expansion of (neg (/ PI (pow a 2))) in a 1211.444 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 1211.444 * [taylor]: Taking taylor expansion of PI in a 1211.444 * [taylor]: Taking taylor expansion of (pow a 2) in a 1211.444 * [taylor]: Taking taylor expansion of a in a 1211.444 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1211.445 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (* a b)))) in (b a) around 0 1211.445 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (* a b)))) in a 1211.445 * [taylor]: Taking taylor expansion of 0.5 in a 1211.445 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (* a b))) in a 1211.445 * [taylor]: Taking taylor expansion of PI in a 1211.445 * [taylor]: Taking taylor expansion of (* (+ a b) (* a b)) in a 1211.445 * [taylor]: Taking taylor expansion of (+ a b) in a 1211.445 * [taylor]: Taking taylor expansion of a in a 1211.445 * [taylor]: Taking taylor expansion of b in a 1211.445 * [taylor]: Taking taylor expansion of (* a b) in a 1211.445 * [taylor]: Taking taylor expansion of a in a 1211.445 * [taylor]: Taking taylor expansion of b in a 1211.445 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (* a b)))) in b 1211.445 * [taylor]: Taking taylor expansion of 0.5 in b 1211.445 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (* a b))) in b 1211.445 * [taylor]: Taking taylor expansion of PI in b 1211.445 * [taylor]: Taking taylor expansion of (* (+ a b) (* a b)) in b 1211.445 * [taylor]: Taking taylor expansion of (+ a b) in b 1211.445 * [taylor]: Taking taylor expansion of a in b 1211.445 * [taylor]: Taking taylor expansion of b in b 1211.445 * [taylor]: Taking taylor expansion of (* a b) in b 1211.445 * [taylor]: Taking taylor expansion of a in b 1211.445 * [taylor]: Taking taylor expansion of b in b 1211.445 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (* a b)))) in b 1211.445 * [taylor]: Taking taylor expansion of 0.5 in b 1211.445 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (* a b))) in b 1211.445 * [taylor]: Taking taylor expansion of PI in b 1211.445 * [taylor]: Taking taylor expansion of (* (+ a b) (* a b)) in b 1211.445 * [taylor]: Taking taylor expansion of (+ a b) in b 1211.446 * [taylor]: Taking taylor expansion of a in b 1211.446 * [taylor]: Taking taylor expansion of b in b 1211.446 * [taylor]: Taking taylor expansion of (* a b) in b 1211.446 * [taylor]: Taking taylor expansion of a in b 1211.446 * [taylor]: Taking taylor expansion of b in b 1211.446 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 1211.446 * [taylor]: Taking taylor expansion of 0.5 in a 1211.446 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 1211.446 * [taylor]: Taking taylor expansion of PI in a 1211.446 * [taylor]: Taking taylor expansion of (pow a 2) in a 1211.446 * [taylor]: Taking taylor expansion of a in a 1211.447 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ PI (pow a 3)))) in a 1211.447 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 1211.447 * [taylor]: Taking taylor expansion of 0.5 in a 1211.447 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 1211.447 * [taylor]: Taking taylor expansion of PI in a 1211.447 * [taylor]: Taking taylor expansion of (pow a 3) in a 1211.447 * [taylor]: Taking taylor expansion of a in a 1211.448 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 1211.448 * [taylor]: Taking taylor expansion of 0.5 in a 1211.448 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 1211.448 * [taylor]: Taking taylor expansion of PI in a 1211.448 * [taylor]: Taking taylor expansion of (pow a 4) in a 1211.448 * [taylor]: Taking taylor expansion of a in a 1211.449 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 1211.449 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 1211.449 * [taylor]: Taking taylor expansion of 0.5 in a 1211.449 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 1211.449 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 1211.449 * [taylor]: Taking taylor expansion of a in a 1211.449 * [taylor]: Taking taylor expansion of (* b PI) in a 1211.449 * [taylor]: Taking taylor expansion of b in a 1211.449 * [taylor]: Taking taylor expansion of PI in a 1211.449 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1211.449 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1211.449 * [taylor]: Taking taylor expansion of a in a 1211.449 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1211.449 * [taylor]: Taking taylor expansion of b in a 1211.449 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 1211.449 * [taylor]: Taking taylor expansion of 0.5 in b 1211.449 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 1211.449 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 1211.449 * [taylor]: Taking taylor expansion of a in b 1211.450 * [taylor]: Taking taylor expansion of (* b PI) in b 1211.450 * [taylor]: Taking taylor expansion of b in b 1211.450 * [taylor]: Taking taylor expansion of PI in b 1211.450 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1211.450 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1211.450 * [taylor]: Taking taylor expansion of a in b 1211.450 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1211.450 * [taylor]: Taking taylor expansion of b in b 1211.450 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 1211.450 * [taylor]: Taking taylor expansion of 0.5 in b 1211.450 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 1211.450 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 1211.450 * [taylor]: Taking taylor expansion of a in b 1211.450 * [taylor]: Taking taylor expansion of (* b PI) in b 1211.450 * [taylor]: Taking taylor expansion of b in b 1211.450 * [taylor]: Taking taylor expansion of PI in b 1211.450 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1211.450 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1211.450 * [taylor]: Taking taylor expansion of a in b 1211.450 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1211.450 * [taylor]: Taking taylor expansion of b in b 1211.450 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 1211.450 * [taylor]: Taking taylor expansion of 0.5 in a 1211.450 * [taylor]: Taking taylor expansion of (* a PI) in a 1211.450 * [taylor]: Taking taylor expansion of a in a 1211.450 * [taylor]: Taking taylor expansion of PI in a 1211.451 * [taylor]: Taking taylor expansion of (neg (* 0.5 PI)) in a 1211.451 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 1211.451 * [taylor]: Taking taylor expansion of 0.5 in a 1211.451 * [taylor]: Taking taylor expansion of PI in a 1211.451 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 1211.451 * [taylor]: Taking taylor expansion of 0.5 in a 1211.451 * [taylor]: Taking taylor expansion of (/ PI a) in a 1211.451 * [taylor]: Taking taylor expansion of PI in a 1211.451 * [taylor]: Taking taylor expansion of a in a 1211.452 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 1211.452 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 1211.452 * [taylor]: Taking taylor expansion of -0.5 in a 1211.452 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 1211.452 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 1211.452 * [taylor]: Taking taylor expansion of a in a 1211.452 * [taylor]: Taking taylor expansion of (* b PI) in a 1211.452 * [taylor]: Taking taylor expansion of b in a 1211.452 * [taylor]: Taking taylor expansion of PI in a 1211.452 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1211.452 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1211.452 * [taylor]: Taking taylor expansion of a in a 1211.452 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1211.452 * [taylor]: Taking taylor expansion of b in a 1211.452 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 1211.452 * [taylor]: Taking taylor expansion of -0.5 in b 1211.452 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 1211.453 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 1211.453 * [taylor]: Taking taylor expansion of a in b 1211.453 * [taylor]: Taking taylor expansion of (* b PI) in b 1211.453 * [taylor]: Taking taylor expansion of b in b 1211.453 * [taylor]: Taking taylor expansion of PI in b 1211.453 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1211.453 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1211.453 * [taylor]: Taking taylor expansion of a in b 1211.453 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1211.453 * [taylor]: Taking taylor expansion of b in b 1211.453 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 1211.453 * [taylor]: Taking taylor expansion of -0.5 in b 1211.453 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 1211.453 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 1211.453 * [taylor]: Taking taylor expansion of a in b 1211.453 * [taylor]: Taking taylor expansion of (* b PI) in b 1211.453 * [taylor]: Taking taylor expansion of b in b 1211.453 * [taylor]: Taking taylor expansion of PI in b 1211.453 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1211.453 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1211.453 * [taylor]: Taking taylor expansion of a in b 1211.453 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1211.453 * [taylor]: Taking taylor expansion of b in b 1211.453 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 1211.453 * [taylor]: Taking taylor expansion of -0.5 in a 1211.453 * [taylor]: Taking taylor expansion of (* a PI) in a 1211.453 * [taylor]: Taking taylor expansion of a in a 1211.453 * [taylor]: Taking taylor expansion of PI in a 1211.454 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 1211.454 * [taylor]: Taking taylor expansion of 0.5 in a 1211.454 * [taylor]: Taking taylor expansion of PI in a 1211.454 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ PI a))) in a 1211.454 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 1211.454 * [taylor]: Taking taylor expansion of 0.5 in a 1211.454 * [taylor]: Taking taylor expansion of (/ PI a) in a 1211.454 * [taylor]: Taking taylor expansion of PI in a 1211.454 * [taylor]: Taking taylor expansion of a in a 1211.455 * * * [progress]: simplifying candidates 1211.458 * [simplify]: Simplifying using # : (- (log (+ b a)) (log PI)) 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(* (/ 1 (/ (+ b a) PI)) 1.0)) (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0))) (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0)))) (* (* (* 2.0 2.0) 2.0) (* (* (* a b) (* a b)) (* a b)))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0)) (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0))) (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0)))) (* (* (* 2.0 (* a b)) (* 2.0 (* a b))) (* 2.0 (* a b)))) (/ (* (* (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0))) (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0)))) (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0)))) (* (* (* 2.0 2.0) 2.0) (* (* (* a a) a) (* (* b b) b)))) (/ (* (* (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0))) (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0)))) (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0)))) (* (* (* 2.0 2.0) 2.0) (* (* (* a b) (* a b)) (* a b)))) (/ (* (* (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0))) (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0)))) (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0)))) (* (* (* 2.0 (* a b)) (* 2.0 (* a b))) (* 2.0 (* a b)))) (* (cbrt (/ (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0))) (* 2.0 (* a b)))) (cbrt (/ (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0))) (* 2.0 (* a b))))) (cbrt (/ (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0))) (* 2.0 (* a b)))) (* (* (/ (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0))) (* 2.0 (* a b))) (/ (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0))) (* 2.0 (* a b)))) (/ (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0))) (* 2.0 (* a b)))) (sqrt (/ (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0))) (* 2.0 (* a b)))) (sqrt (/ (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0))) (* 2.0 (* a b)))) (neg (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0)))) (neg (* 2.0 (* a b))) (/ 1.0 2.0) (/ (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0)) (* a b)) (/ 1 (* 2.0 (* a b))) (/ (* 2.0 (* a b)) (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0)))) (/ (* 1.0 (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0))) 2.0) (/ (* 2.0 (* a b)) (* 1 (* (/ 1 (/ (+ b a) PI)) 1.0))) (* (* 2.0 (* a b)) (/ (+ b a) PI)) (+ (/ b PI) (/ a PI)) (+ (/ b PI) (/ a PI)) (+ (/ b PI) (/ a PI)) 0 0 0 0 0 0 1211.459 * * [simplify]: iteration 0 : 7 enodes (cost 7 ) 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* [simplify]: iteration 3 : 279 enodes (cost 19 ) 1241.194 * * [simplify]: iteration 4 : 1237 enodes (cost 19 ) 1243.355 * * [simplify]: iteration done : 5000 enodes (cost 19 ) 1243.356 * * [simplify]: iteration 0 : 20 enodes (cost 24 ) 1243.359 * * [simplify]: iteration 1 : 41 enodes (cost 22 ) 1243.368 * * [simplify]: iteration 2 : 118 enodes (cost 21 ) 1243.398 * * [simplify]: iteration 3 : 355 enodes (cost 20 ) 1243.953 * * [simplify]: iteration 4 : 1646 enodes (cost 20 ) 1246.264 * * [simplify]: iteration done : 5001 enodes (cost 20 ) 1246.265 * * [simplify]: iteration 0 : 19 enodes (cost 23 ) 1246.267 * * [simplify]: iteration 1 : 41 enodes (cost 21 ) 1246.281 * * [simplify]: iteration 2 : 108 enodes (cost 20 ) 1246.306 * * [simplify]: iteration 3 : 307 enodes (cost 19 ) 1246.705 * * [simplify]: iteration 4 : 1361 enodes (cost 19 ) 1248.577 * * [simplify]: iteration done : 5001 enodes (cost 19 ) 1248.578 * * [simplify]: iteration 0 : 18 enodes (cost 22 ) 1248.580 * * [simplify]: 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enodes (cost 16 ) 1407.087 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 1407.088 * * [simplify]: iteration 0 : 17 enodes (cost 59 ) 1407.091 * * [simplify]: iteration 1 : 49 enodes (cost 53 ) 1407.113 * * [simplify]: iteration 2 : 293 enodes (cost 17 ) 1407.648 * * [simplify]: iteration 3 : 3315 enodes (cost 17 ) 1409.203 * * [simplify]: iteration done : 5000 enodes (cost 17 ) 1409.203 * * [simplify]: iteration 0 : 16 enodes (cost 20 ) 1409.206 * * [simplify]: iteration 1 : 41 enodes (cost 18 ) 1409.218 * * [simplify]: iteration 2 : 187 enodes (cost 16 ) 1409.365 * * [simplify]: iteration 3 : 1050 enodes (cost 16 ) 1413.006 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 1413.007 * * [simplify]: iteration 0 : 16 enodes (cost 20 ) 1413.009 * * [simplify]: iteration 1 : 41 enodes (cost 18 ) 1413.022 * * [simplify]: iteration 2 : 187 enodes (cost 16 ) 1413.171 * * [simplify]: iteration 3 : 1050 enodes (cost 16 ) 1416.572 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 1416.573 * * [simplify]: iteration 0 : 12 enodes (cost 14 ) 1416.574 * * [simplify]: iteration 1 : 30 enodes (cost 12 ) 1416.583 * * [simplify]: iteration 2 : 105 enodes (cost 10 ) 1416.624 * * [simplify]: iteration 3 : 265 enodes (cost 10 ) 1416.841 * * [simplify]: iteration 4 : 600 enodes (cost 10 ) 1417.083 * * [simplify]: iteration 5 : 712 enodes (cost 10 ) 1417.300 * * [simplify]: iteration 6 : 747 enodes (cost 10 ) 1417.521 * * [simplify]: iteration 7 : 752 enodes (cost 10 ) 1417.741 * * [simplify]: iteration done : 752 enodes (cost 10 ) 1417.741 * * [simplify]: iteration 0 : 6 enodes (cost 6 ) 1417.742 * * [simplify]: iteration 1 : 14 enodes (cost 6 ) 1417.744 * * [simplify]: iteration 2 : 35 enodes (cost 6 ) 1417.751 * * [simplify]: iteration 3 : 53 enodes (cost 6 ) 1417.764 * * [simplify]: iteration 4 : 54 enodes (cost 6 ) 1417.772 * * [simplify]: iteration done : 54 enodes (cost 6 ) 1417.773 * * [simplify]: iteration 0 : 3 enodes (cost 3 ) 1417.773 * * [simplify]: iteration done : 3 enodes (cost 3 ) 1417.774 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 1417.775 * * [simplify]: iteration 1 : 31 enodes (cost 13 ) 1417.784 * * [simplify]: iteration 2 : 128 enodes (cost 11 ) 1417.863 * * [simplify]: iteration 3 : 529 enodes (cost 11 ) 1418.438 * * [simplify]: iteration 4 : 1330 enodes (cost 11 ) 1419.901 * * [simplify]: iteration 5 : 2019 enodes (cost 11 ) 1421.328 * * [simplify]: iteration 6 : 2353 enodes (cost 11 ) 1423.554 * * [simplify]: iteration 7 : 2856 enodes (cost 11 ) 1426.032 * * [simplify]: iteration 8 : 3033 enodes (cost 11 ) 1428.351 * * [simplify]: iteration 9 : 3053 enodes (cost 11 ) 1430.627 * * [simplify]: iteration done : 3053 enodes (cost 11 ) 1430.628 * * [simplify]: iteration 0 : 7 enodes (cost 7 ) 1430.628 * * [simplify]: iteration 1 : 15 enodes (cost 7 ) 1430.630 * * [simplify]: iteration 2 : 29 enodes (cost 7 ) 1430.634 * * [simplify]: iteration 3 : 39 enodes (cost 7 ) 1430.638 * * [simplify]: iteration 4 : 41 enodes (cost 7 ) 1430.642 * * [simplify]: iteration done : 41 enodes (cost 7 ) 1430.643 * * [simplify]: iteration 0 : 15 enodes (cost 19 ) 1430.645 * * [simplify]: iteration 1 : 40 enodes (cost 17 ) 1430.658 * * [simplify]: iteration 2 : 173 enodes (cost 15 ) 1430.780 * * [simplify]: iteration 3 : 865 enodes (cost 15 ) 1433.615 * * [simplify]: iteration 4 : 4240 enodes (cost 15 ) 1434.672 * * [simplify]: iteration done : 5000 enodes (cost 15 ) 1434.673 * * [simplify]: iteration 0 : 13 enodes (cost 15 ) 1434.674 * * [simplify]: iteration 1 : 29 enodes (cost 13 ) 1434.681 * * [simplify]: iteration 2 : 89 enodes (cost 11 ) 1434.703 * * [simplify]: iteration 3 : 230 enodes (cost 11 ) 1434.809 * * [simplify]: iteration 4 : 502 enodes (cost 11 ) 1435.068 * * [simplify]: iteration 5 : 821 enodes (cost 11 ) 1435.533 * * [simplify]: iteration 6 : 1075 enodes (cost 11 ) 1436.017 * * [simplify]: iteration 7 : 1405 enodes (cost 11 ) 1436.806 * * [simplify]: iteration 8 : 1887 enodes (cost 11 ) 1437.673 * * [simplify]: iteration 9 : 2081 enodes (cost 11 ) 1439.093 * * [simplify]: iteration 10 : 2423 enodes (cost 11 ) 1440.567 * * [simplify]: iteration 11 : 2476 enodes (cost 11 ) 1441.875 * * [simplify]: iteration 12 : 2478 enodes (cost 11 ) 1443.175 * * [simplify]: iteration done : 2478 enodes (cost 11 ) 1443.176 * * [simplify]: iteration 0 : 14 enodes (cost 17 ) 1443.178 * * [simplify]: iteration 1 : 36 enodes (cost 15 ) 1443.190 * * [simplify]: iteration 2 : 175 enodes (cost 13 ) 1443.347 * * [simplify]: iteration 3 : 804 enodes (cost 13 ) 1445.107 * * [simplify]: iteration 4 : 3008 enodes (cost 13 ) 1447.063 * * [simplify]: iteration done : 5000 enodes (cost 13 ) 1447.064 * * [simplify]: iteration 0 : 9 enodes (cost 11 ) 1447.065 * * [simplify]: iteration 1 : 19 enodes (cost 11 ) 1447.068 * * [simplify]: iteration 2 : 56 enodes (cost 11 ) 1447.081 * * [simplify]: iteration 3 : 172 enodes (cost 11 ) 1447.149 * * [simplify]: iteration 4 : 307 enodes (cost 11 ) 1447.245 * * [simplify]: iteration 5 : 446 enodes (cost 11 ) 1447.425 * * [simplify]: iteration 6 : 649 enodes (cost 11 ) 1447.728 * * [simplify]: iteration 7 : 729 enodes (cost 11 ) 1448.041 * * [simplify]: iteration 8 : 751 enodes (cost 11 ) 1448.337 * * [simplify]: iteration 9 : 753 enodes (cost 11 ) 1448.628 * * [simplify]: iteration done : 753 enodes (cost 11 ) 1448.630 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 1448.630 * * [simplify]: iteration 1 : 7 enodes (cost 7 ) 1448.631 * * [simplify]: iteration done : 7 enodes (cost 7 ) 1448.632 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 1448.633 * * [simplify]: iteration 1 : 7 enodes (cost 7 ) 1448.633 * * [simplify]: iteration done : 7 enodes (cost 7 ) 1448.634 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 1448.634 * * [simplify]: iteration 1 : 7 enodes (cost 7 ) 1448.635 * * [simplify]: iteration done : 7 enodes (cost 7 ) 1448.636 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 1448.636 * * [simplify]: iteration done : 1 enodes (cost 1 ) 1448.636 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 1448.636 * * [simplify]: iteration done : 1 enodes (cost 1 ) 1448.637 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 1448.637 * * [simplify]: iteration done : 1 enodes (cost 1 ) 1448.638 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 1448.638 * * [simplify]: iteration done : 1 enodes (cost 1 ) 1448.638 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 1448.638 * * [simplify]: iteration done : 1 enodes (cost 1 ) 1448.639 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 1448.639 * * [simplify]: iteration done : 1 enodes (cost 1 ) 1448.641 * [simplify]: Simplified to: (- (log (+ b a)) (log PI)) (log (/ (+ b a) PI)) (exp (/ (+ b a) PI)) (pow (/ (+ b a) PI) 3) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI))) (cbrt (/ (+ b a) PI)) (pow (/ (+ b a) PI) 3) (sqrt (/ (+ b a) PI)) (sqrt (/ (+ b a) PI)) (neg (+ b a)) (neg PI) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (* (cbrt PI) (cbrt PI))) (/ (cbrt (+ b a)) (cbrt PI)) (/ (* (cbrt (+ b a)) 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1.0 3) (pow 2.0 3))) (/ (pow 1.0 3) (/ (pow (* 2.0 (* a b)) 3) (pow (/ 1.0 (/ (+ b a) PI)) 3))) (* (/ (pow 1.0 3) (* (pow a 3) (pow b 3))) (/ (pow (/ 1.0 (/ (+ b a) PI)) 3) (pow 2.0 3))) (/ (pow (/ 1.0 (/ (+ b a) PI)) 3) (/ (* (pow 2.0 3) (pow (* a b) 3)) (pow 1.0 3))) (/ (* (pow (/ 1.0 (/ (+ b a) PI)) 3) (pow 1.0 3)) (pow (* 2.0 (* a b)) 3)) (/ (/ (/ (pow (* (/ 1.0 (/ (+ b a) PI)) 1.0) 3) (pow 2.0 3)) (pow b 3)) (pow a 3)) (/ (/ (pow (/ (* 1.0 1.0) (/ (+ b a) PI)) 3) (pow 2.0 3)) (pow (* a b) 3)) (/ (pow (/ (* 1.0 1.0) (/ (+ b a) PI)) 3) (pow (* 2.0 (* a b)) 3)) (* (cbrt (/ (/ 1.0 (/ (+ b a) PI)) (/ (* 2.0 (* a b)) 1.0))) (cbrt (/ (/ 1.0 (/ (+ b a) PI)) (/ (* 2.0 (* a b)) 1.0)))) (cbrt (/ (/ (* (/ 1.0 (/ (+ b a) PI)) 1.0) 2.0) (* a b))) (pow (/ (* (/ 1.0 2.0) (/ 1.0 (/ (+ b a) PI))) (* a b)) 3) (sqrt (/ (/ (* (/ 1.0 (/ (+ b a) PI)) 1.0) 2.0) (* a b))) (sqrt (/ (/ (* (/ 1.0 (/ (+ b a) PI)) 1.0) 2.0) (* a b))) (* (/ 1.0 (/ (+ b a) PI)) (neg 1.0)) (neg (* 2.0 (* a b))) (/ 1.0 2.0) (/ (/ 1.0 (/ (+ b a) PI)) (* a b)) (/ 1 (* 2.0 (* a b))) (/ 2.0 (* (/ (/ 1.0 (/ (+ b a) PI)) b) (/ 1.0 a))) (/ (/ 1.0 (/ (+ b a) PI)) (/ 2.0 1.0)) (/ (* 2.0 (* a b)) (/ 1.0 (/ (+ b a) PI))) (* (* 2.0 (* a b)) (/ (+ b a) PI)) (+ (/ b PI) (/ a PI)) (+ (/ b PI) (/ a PI)) (+ (/ b PI) (/ a PI)) 0 0 0 0 0 0 1448.643 * * * [progress]: adding candidates to table 1448.879 * [progress]: [Phase 3 of 3] Extracting. 1448.879 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 1448.883 * * * [regime-changes]: Trying 3 branch expressions: ((* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) b a) 1448.883 * * * * [regimes]: Trying to branch on (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) from (# # # # # # # # # # #) 1448.949 * * * * [regimes]: Trying to branch on b from (# # # # # # # # # # #) 1449.012 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # #) 1449.076 * * * [regime]: Found split indices: #