9.438 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.061 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.067 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.067 * [simplify]: Simplifying: (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) 0.067 * * [simplify]: iteration 0: 15 enodes 0.073 * * [simplify]: iteration 1: 33 enodes 0.087 * * [simplify]: iteration 2: 95 enodes 0.163 * * [simplify]: iteration 3: 361 enodes 0.442 * * [simplify]: iteration 4: 1503 enodes 0.886 * * [simplify]: iteration 5: 2008 enodes 1.233 * * [simplify]: iteration complete: 2008 enodes 1.233 * * [simplify]: Extracting #0: cost 1 inf + 0 1.234 * * [simplify]: Extracting #1: cost 115 inf + 0 1.237 * * [simplify]: Extracting #2: cost 458 inf + 129 1.246 * * [simplify]: Extracting #3: cost 429 inf + 15794 1.287 * * [simplify]: Extracting #4: cost 96 inf + 74167 1.314 * * [simplify]: Extracting #5: cost 4 inf + 92628 1.356 * * [simplify]: Extracting #6: cost 0 inf + 93541 1.384 * [simplify]: Simplified to: (- (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a) (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) 1.390 * * [progress]: iteration 1 / 4 1.390 * * * [progress]: picking best candidate 1.396 * * * * [pick]: Picked # 1.397 * * * [progress]: localizing error 1.438 * * * [progress]: generating rewritten candidates 1.438 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.482 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.524 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.921 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.132 * * * [progress]: generating series expansions 2.132 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.133 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b) into (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) 2.133 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in (a b) around 0 2.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in b 2.133 * [taylor]: Taking taylor expansion of 1/2 in b 2.133 * [backup-simplify]: Simplify 1/2 into 1/2 2.133 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in b 2.133 * [taylor]: Taking taylor expansion of PI in b 2.133 * [backup-simplify]: Simplify PI into PI 2.133 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in b 2.133 * [taylor]: Taking taylor expansion of b in b 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 2.133 * [taylor]: Taking taylor expansion of (+ a b) in b 2.133 * [taylor]: Taking taylor expansion of a in b 2.133 * [backup-simplify]: Simplify a into a 2.133 * [taylor]: Taking taylor expansion of b in b 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * [taylor]: Taking taylor expansion of (- b a) in b 2.133 * [taylor]: Taking taylor expansion of b in b 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * [taylor]: Taking taylor expansion of a in b 2.133 * [backup-simplify]: Simplify a into a 2.134 * [backup-simplify]: Simplify (+ a 0) into a 2.134 * [backup-simplify]: Simplify (- a) into (- a) 2.134 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 2.134 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 2.134 * [backup-simplify]: Simplify (* 0 (* -1 (pow a 2))) into 0 2.134 * [backup-simplify]: Simplify (- 0) into 0 2.134 * [backup-simplify]: Simplify (+ 1 0) into 1 2.135 * [backup-simplify]: Simplify (+ 0 1) into 1 2.135 * [backup-simplify]: Simplify (+ (* a 1) (* 1 (- a))) into 0 2.135 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* -1 (pow a 2)))) into (- (pow a 2)) 2.135 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 2.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in a 2.135 * [taylor]: Taking taylor expansion of 1/2 in a 2.135 * [backup-simplify]: Simplify 1/2 into 1/2 2.135 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in a 2.135 * [taylor]: Taking taylor expansion of PI in a 2.135 * [backup-simplify]: Simplify PI into PI 2.135 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in a 2.135 * [taylor]: Taking taylor expansion of b in a 2.135 * [backup-simplify]: Simplify b into b 2.135 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 2.135 * [taylor]: Taking taylor expansion of (+ a b) in a 2.135 * [taylor]: Taking taylor expansion of a in a 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.136 * [taylor]: Taking taylor expansion of b in a 2.136 * [backup-simplify]: Simplify b into b 2.136 * [taylor]: Taking taylor expansion of (- b a) in a 2.136 * [taylor]: Taking taylor expansion of b in a 2.136 * [backup-simplify]: Simplify b into b 2.136 * [taylor]: Taking taylor expansion of a in a 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (+ 0 b) into b 2.136 * [backup-simplify]: Simplify (- 0) into 0 2.136 * [backup-simplify]: Simplify (+ b 0) into b 2.136 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.136 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 2.136 * [backup-simplify]: Simplify (/ PI (pow b 3)) into (/ PI (pow b 3)) 2.136 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in a 2.136 * [taylor]: Taking taylor expansion of 1/2 in a 2.136 * [backup-simplify]: Simplify 1/2 into 1/2 2.136 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in a 2.136 * [taylor]: Taking taylor expansion of PI in a 2.136 * [backup-simplify]: Simplify PI into PI 2.136 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in a 2.136 * [taylor]: Taking taylor expansion of b in a 2.136 * [backup-simplify]: Simplify b into b 2.136 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 2.136 * [taylor]: Taking taylor expansion of (+ a b) in a 2.136 * [taylor]: Taking taylor expansion of a in a 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [taylor]: Taking taylor expansion of b in a 2.136 * [backup-simplify]: Simplify b into b 2.136 * [taylor]: Taking taylor expansion of (- b a) in a 2.136 * [taylor]: Taking taylor expansion of b in a 2.136 * [backup-simplify]: Simplify b into b 2.136 * [taylor]: Taking taylor expansion of a in a 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (+ 0 b) into b 2.137 * [backup-simplify]: Simplify (- 0) into 0 2.137 * [backup-simplify]: Simplify (+ b 0) into b 2.137 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.137 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 2.137 * [backup-simplify]: Simplify (/ PI (pow b 3)) into (/ PI (pow b 3)) 2.137 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 3))) into (* 1/2 (/ PI (pow b 3))) 2.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.137 * [taylor]: Taking taylor expansion of 1/2 in b 2.137 * [backup-simplify]: Simplify 1/2 into 1/2 2.137 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.137 * [taylor]: Taking taylor expansion of PI in b 2.137 * [backup-simplify]: Simplify PI into PI 2.137 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.137 * [taylor]: Taking taylor expansion of b in b 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.138 * [backup-simplify]: Simplify (* 1 1) into 1 2.138 * [backup-simplify]: Simplify (* 1 1) into 1 2.138 * [backup-simplify]: Simplify (/ PI 1) into PI 2.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.143 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify (- 1) into -1 2.144 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.144 * [backup-simplify]: Simplify (+ 1 0) into 1 2.144 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 2.144 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (pow b 2))) into 0 2.145 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ 0 (pow b 3))))) into 0 2.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI (pow b 3)))) into 0 2.145 * [taylor]: Taking taylor expansion of 0 in b 2.145 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify (- 0) into 0 2.148 * [backup-simplify]: Simplify (+ 0 0) into 0 2.149 * [backup-simplify]: Simplify (+ 0 0) into 0 2.149 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 2.149 * [backup-simplify]: Simplify (+ (* b (- 1)) (+ (* 0 0) (* 0 (pow b 2)))) into (- b) 2.150 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ (- b) (pow b 3))) (* 0 (/ 0 (pow b 3))))) into (/ PI (pow b 5)) 2.150 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 5))) (+ (* 0 0) (* 0 (/ PI (pow b 3))))) into (* 1/2 (/ PI (pow b 5))) 2.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 5))) in b 2.150 * [taylor]: Taking taylor expansion of 1/2 in b 2.150 * [backup-simplify]: Simplify 1/2 into 1/2 2.150 * [taylor]: Taking taylor expansion of (/ PI (pow b 5)) in b 2.150 * [taylor]: Taking taylor expansion of PI in b 2.150 * [backup-simplify]: Simplify PI into PI 2.150 * [taylor]: Taking taylor expansion of (pow b 5) in b 2.150 * [taylor]: Taking taylor expansion of b in b 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.151 * [backup-simplify]: Simplify (* 1 1) into 1 2.151 * [backup-simplify]: Simplify (* 1 1) into 1 2.151 * [backup-simplify]: Simplify (* 1 1) into 1 2.151 * [backup-simplify]: Simplify (/ PI 1) into PI 2.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify (- 0) into 0 2.174 * [backup-simplify]: Simplify (+ 0 0) into 0 2.175 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 -1) (* 0 b)))) into 0 2.177 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 (- 1)) (+ (* 0 0) (* 0 (pow b 2))))) into 0 2.178 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ (- b) (pow b 3))) (* (/ PI (pow b 5)) (/ 0 (pow b 3))))) into 0 2.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ PI (pow b 5))) (+ (* 0 0) (* 0 (/ PI (pow b 3)))))) into 0 2.179 * [taylor]: Taking taylor expansion of 0 in b 2.179 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) (/ 1 b)) into (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 2.203 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 2.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 2.203 * [taylor]: Taking taylor expansion of 1/2 in b 2.203 * [backup-simplify]: Simplify 1/2 into 1/2 2.203 * [taylor]: Taking taylor expansion of (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 2.203 * [taylor]: Taking taylor expansion of (* PI b) in b 2.203 * [taylor]: Taking taylor expansion of PI in b 2.203 * [backup-simplify]: Simplify PI into PI 2.203 * [taylor]: Taking taylor expansion of b in b 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 1 into 1 2.203 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 2.203 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.203 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.203 * [taylor]: Taking taylor expansion of a in b 2.203 * [backup-simplify]: Simplify a into a 2.203 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.203 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.203 * [taylor]: Taking taylor expansion of b in b 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 1 into 1 2.204 * [backup-simplify]: Simplify (/ 1 1) into 1 2.204 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 2.204 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.204 * [taylor]: Taking taylor expansion of b in b 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify 1 into 1 2.204 * [backup-simplify]: Simplify (/ 1 1) into 1 2.204 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.204 * [taylor]: Taking taylor expansion of a in b 2.204 * [backup-simplify]: Simplify a into a 2.204 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.205 * [backup-simplify]: Simplify (* PI 0) into 0 2.207 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.207 * [backup-simplify]: Simplify (+ 0 1) into 1 2.207 * [backup-simplify]: Simplify (+ 1 0) into 1 2.208 * [backup-simplify]: Simplify (* 1 1) into 1 2.208 * [backup-simplify]: Simplify (/ PI 1) into PI 2.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 2.208 * [taylor]: Taking taylor expansion of 1/2 in a 2.208 * [backup-simplify]: Simplify 1/2 into 1/2 2.209 * [taylor]: Taking taylor expansion of (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 2.209 * [taylor]: Taking taylor expansion of (* PI b) in a 2.209 * [taylor]: Taking taylor expansion of PI in a 2.209 * [backup-simplify]: Simplify PI into PI 2.209 * [taylor]: Taking taylor expansion of b in a 2.209 * [backup-simplify]: Simplify b into b 2.209 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 2.209 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.209 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.209 * [taylor]: Taking taylor expansion of a in a 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [backup-simplify]: Simplify (/ 1 1) into 1 2.209 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.209 * [taylor]: Taking taylor expansion of b in a 2.209 * [backup-simplify]: Simplify b into b 2.209 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.209 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.209 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.209 * [taylor]: Taking taylor expansion of b in a 2.209 * [backup-simplify]: Simplify b into b 2.209 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.210 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.210 * [taylor]: Taking taylor expansion of a in a 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 1 into 1 2.210 * [backup-simplify]: Simplify (/ 1 1) into 1 2.210 * [backup-simplify]: Simplify (* PI b) into (* b PI) 2.210 * [backup-simplify]: Simplify (+ 1 0) into 1 2.211 * [backup-simplify]: Simplify (- 1) into -1 2.211 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.212 * [backup-simplify]: Simplify (* 1 -1) into -1 2.212 * [backup-simplify]: Simplify (/ (* b PI) -1) into (* -1 (* b PI)) 2.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 2.212 * [taylor]: Taking taylor expansion of 1/2 in a 2.212 * [backup-simplify]: Simplify 1/2 into 1/2 2.212 * [taylor]: Taking taylor expansion of (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 2.212 * [taylor]: Taking taylor expansion of (* PI b) in a 2.212 * [taylor]: Taking taylor expansion of PI in a 2.212 * [backup-simplify]: Simplify PI into PI 2.212 * [taylor]: Taking taylor expansion of b in a 2.212 * [backup-simplify]: Simplify b into b 2.212 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 2.212 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.212 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.212 * [taylor]: Taking taylor expansion of a in a 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.213 * [backup-simplify]: Simplify (/ 1 1) into 1 2.213 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.213 * [taylor]: Taking taylor expansion of b in a 2.213 * [backup-simplify]: Simplify b into b 2.213 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.213 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.213 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.213 * [taylor]: Taking taylor expansion of b in a 2.213 * [backup-simplify]: Simplify b into b 2.213 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.213 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.213 * [taylor]: Taking taylor expansion of a in a 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [backup-simplify]: Simplify (/ 1 1) into 1 2.214 * [backup-simplify]: Simplify (* PI b) into (* b PI) 2.214 * [backup-simplify]: Simplify (+ 1 0) into 1 2.214 * [backup-simplify]: Simplify (- 1) into -1 2.215 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.215 * [backup-simplify]: Simplify (* 1 -1) into -1 2.215 * [backup-simplify]: Simplify (/ (* b PI) -1) into (* -1 (* b PI)) 2.216 * [backup-simplify]: Simplify (* 1/2 (* -1 (* b PI))) into (* -1/2 (* PI b)) 2.216 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 2.216 * [taylor]: Taking taylor expansion of -1/2 in b 2.216 * [backup-simplify]: Simplify -1/2 into -1/2 2.216 * [taylor]: Taking taylor expansion of (* PI b) in b 2.216 * [taylor]: Taking taylor expansion of PI in b 2.216 * [backup-simplify]: Simplify PI into PI 2.216 * [taylor]: Taking taylor expansion of b in b 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 1 into 1 2.217 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.218 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.220 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.220 * [backup-simplify]: Simplify (* PI 0) into 0 2.221 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 2.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify (- 0) into 0 2.223 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.224 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 2.225 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (* b PI)) (/ 0 -1)))) into 0 2.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 (* b PI)))) into 0 2.226 * [taylor]: Taking taylor expansion of 0 in b 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.229 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 2.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.231 * [backup-simplify]: Simplify (- 0) into 0 2.231 * [backup-simplify]: Simplify (+ 0 0) into 0 2.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.233 * [backup-simplify]: Simplify (+ 0 0) into 0 2.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 2.235 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI b)) 2.235 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (+ (* 0 0) (* 0 (* -1 (* b PI))))) into (- (* 1/2 (/ PI b))) 2.235 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.236 * [taylor]: Taking taylor expansion of 1/2 in b 2.236 * [backup-simplify]: Simplify 1/2 into 1/2 2.236 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.236 * [taylor]: Taking taylor expansion of PI in b 2.236 * [backup-simplify]: Simplify PI into PI 2.236 * [taylor]: Taking taylor expansion of b in b 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [backup-simplify]: Simplify (/ PI 1) into PI 2.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.242 * [backup-simplify]: Simplify (- 0) into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.245 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (- b))) into (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 2.246 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 2.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 2.246 * [taylor]: Taking taylor expansion of 1/2 in b 2.246 * [backup-simplify]: Simplify 1/2 into 1/2 2.246 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 2.247 * [taylor]: Taking taylor expansion of (* b PI) in b 2.247 * [taylor]: Taking taylor expansion of b in b 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 1 into 1 2.247 * [taylor]: Taking taylor expansion of PI in b 2.247 * [backup-simplify]: Simplify PI into PI 2.247 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 2.247 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.247 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.247 * [taylor]: Taking taylor expansion of a in b 2.247 * [backup-simplify]: Simplify a into a 2.247 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.247 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.247 * [taylor]: Taking taylor expansion of b in b 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 1 into 1 2.247 * [backup-simplify]: Simplify (/ 1 1) into 1 2.247 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 2.247 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.247 * [taylor]: Taking taylor expansion of a in b 2.247 * [backup-simplify]: Simplify a into a 2.248 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.248 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.248 * [taylor]: Taking taylor expansion of b in b 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 1 into 1 2.248 * [backup-simplify]: Simplify (/ 1 1) into 1 2.249 * [backup-simplify]: Simplify (* 0 PI) into 0 2.250 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.251 * [backup-simplify]: Simplify (+ 0 1) into 1 2.251 * [backup-simplify]: Simplify (- 1) into -1 2.252 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.252 * [backup-simplify]: Simplify (* 1 -1) into -1 2.253 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 2.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 2.253 * [taylor]: Taking taylor expansion of 1/2 in a 2.253 * [backup-simplify]: Simplify 1/2 into 1/2 2.253 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 2.253 * [taylor]: Taking taylor expansion of (* b PI) in a 2.253 * [taylor]: Taking taylor expansion of b in a 2.253 * [backup-simplify]: Simplify b into b 2.253 * [taylor]: Taking taylor expansion of PI in a 2.253 * [backup-simplify]: Simplify PI into PI 2.253 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 2.253 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.253 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.253 * [taylor]: Taking taylor expansion of a in a 2.253 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify 1 into 1 2.253 * [backup-simplify]: Simplify (/ 1 1) into 1 2.253 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.253 * [taylor]: Taking taylor expansion of b in a 2.254 * [backup-simplify]: Simplify b into b 2.254 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.254 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.254 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.254 * [taylor]: Taking taylor expansion of a in a 2.254 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify 1 into 1 2.254 * [backup-simplify]: Simplify (/ 1 1) into 1 2.254 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.254 * [taylor]: Taking taylor expansion of b in a 2.254 * [backup-simplify]: Simplify b into b 2.254 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.254 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.255 * [backup-simplify]: Simplify (+ 1 0) into 1 2.255 * [backup-simplify]: Simplify (+ 1 0) into 1 2.256 * [backup-simplify]: Simplify (* 1 1) into 1 2.256 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.256 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 2.256 * [taylor]: Taking taylor expansion of 1/2 in a 2.256 * [backup-simplify]: Simplify 1/2 into 1/2 2.256 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 2.256 * [taylor]: Taking taylor expansion of (* b PI) in a 2.256 * [taylor]: Taking taylor expansion of b in a 2.256 * [backup-simplify]: Simplify b into b 2.256 * [taylor]: Taking taylor expansion of PI in a 2.256 * [backup-simplify]: Simplify PI into PI 2.256 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 2.256 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.256 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.256 * [taylor]: Taking taylor expansion of a in a 2.256 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify 1 into 1 2.257 * [backup-simplify]: Simplify (/ 1 1) into 1 2.257 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.257 * [taylor]: Taking taylor expansion of b in a 2.257 * [backup-simplify]: Simplify b into b 2.257 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.257 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.257 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.257 * [taylor]: Taking taylor expansion of a in a 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 1 into 1 2.257 * [backup-simplify]: Simplify (/ 1 1) into 1 2.257 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.257 * [taylor]: Taking taylor expansion of b in a 2.257 * [backup-simplify]: Simplify b into b 2.257 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.258 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.258 * [backup-simplify]: Simplify (+ 1 0) into 1 2.258 * [backup-simplify]: Simplify (+ 1 0) into 1 2.259 * [backup-simplify]: Simplify (* 1 1) into 1 2.259 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.259 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.259 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 2.259 * [taylor]: Taking taylor expansion of 1/2 in b 2.259 * [backup-simplify]: Simplify 1/2 into 1/2 2.259 * [taylor]: Taking taylor expansion of (* PI b) in b 2.259 * [taylor]: Taking taylor expansion of PI in b 2.259 * [backup-simplify]: Simplify PI into PI 2.259 * [taylor]: Taking taylor expansion of b in b 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 1 into 1 2.260 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.262 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.263 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.264 * [backup-simplify]: Simplify (* PI 0) into 0 2.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.265 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.267 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 2.267 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 2.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.268 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.268 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 2.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 2.270 * [taylor]: Taking taylor expansion of 0 in b 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.272 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.275 * [backup-simplify]: Simplify (- 0) into 0 2.275 * [backup-simplify]: Simplify (+ 0 0) into 0 2.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.277 * [backup-simplify]: Simplify (+ 0 0) into 0 2.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 2.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI b) 2.279 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 0) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 2.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.279 * [taylor]: Taking taylor expansion of 1/2 in b 2.279 * [backup-simplify]: Simplify 1/2 into 1/2 2.279 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.279 * [taylor]: Taking taylor expansion of PI in b 2.280 * [backup-simplify]: Simplify PI into PI 2.280 * [taylor]: Taking taylor expansion of b in b 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.280 * [backup-simplify]: Simplify (/ PI 1) into PI 2.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.290 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a) into (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) 2.290 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in (a b) around 0 2.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in b 2.290 * [taylor]: Taking taylor expansion of 1/2 in b 2.290 * [backup-simplify]: Simplify 1/2 into 1/2 2.290 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) (- b a)))) in b 2.291 * [taylor]: Taking taylor expansion of PI in b 2.291 * [backup-simplify]: Simplify PI into PI 2.291 * [taylor]: Taking taylor expansion of (* a (* (+ a b) (- b a))) in b 2.291 * [taylor]: Taking taylor expansion of a in b 2.291 * [backup-simplify]: Simplify a into a 2.291 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 2.291 * [taylor]: Taking taylor expansion of (+ a b) in b 2.291 * [taylor]: Taking taylor expansion of a in b 2.291 * [backup-simplify]: Simplify a into a 2.291 * [taylor]: Taking taylor expansion of b in b 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [taylor]: Taking taylor expansion of (- b a) in b 2.291 * [taylor]: Taking taylor expansion of b in b 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [taylor]: Taking taylor expansion of a in b 2.291 * [backup-simplify]: Simplify a into a 2.291 * [backup-simplify]: Simplify (+ a 0) into a 2.291 * [backup-simplify]: Simplify (- a) into (- a) 2.291 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 2.291 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 2.291 * [backup-simplify]: Simplify (* a (* -1 (pow a 2))) into (* -1 (pow a 3)) 2.292 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 3))) into (* -1 (/ PI (pow a 3))) 2.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in a 2.292 * [taylor]: Taking taylor expansion of 1/2 in a 2.292 * [backup-simplify]: Simplify 1/2 into 1/2 2.292 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) (- b a)))) in a 2.292 * [taylor]: Taking taylor expansion of PI in a 2.292 * [backup-simplify]: Simplify PI into PI 2.292 * [taylor]: Taking taylor expansion of (* a (* (+ a b) (- b a))) in a 2.292 * [taylor]: Taking taylor expansion of a in a 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 1 into 1 2.292 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 2.292 * [taylor]: Taking taylor expansion of (+ a b) in a 2.292 * [taylor]: Taking taylor expansion of a in a 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 1 into 1 2.292 * [taylor]: Taking taylor expansion of b in a 2.292 * [backup-simplify]: Simplify b into b 2.292 * [taylor]: Taking taylor expansion of (- b a) in a 2.292 * [taylor]: Taking taylor expansion of b in a 2.292 * [backup-simplify]: Simplify b into b 2.292 * [taylor]: Taking taylor expansion of a in a 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (+ 0 b) into b 2.293 * [backup-simplify]: Simplify (- 0) into 0 2.293 * [backup-simplify]: Simplify (+ b 0) into b 2.293 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.293 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 2.293 * [backup-simplify]: Simplify (- 1) into -1 2.294 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.294 * [backup-simplify]: Simplify (+ 1 0) into 1 2.295 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 2.295 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow b 2))) into (pow b 2) 2.295 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in a 2.295 * [taylor]: Taking taylor expansion of 1/2 in a 2.295 * [backup-simplify]: Simplify 1/2 into 1/2 2.295 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) (- b a)))) in a 2.295 * [taylor]: Taking taylor expansion of PI in a 2.295 * [backup-simplify]: Simplify PI into PI 2.295 * [taylor]: Taking taylor expansion of (* a (* (+ a b) (- b a))) in a 2.295 * [taylor]: Taking taylor expansion of a in a 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify 1 into 1 2.295 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 2.295 * [taylor]: Taking taylor expansion of (+ a b) in a 2.296 * [taylor]: Taking taylor expansion of a in a 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [taylor]: Taking taylor expansion of b in a 2.296 * [backup-simplify]: Simplify b into b 2.296 * [taylor]: Taking taylor expansion of (- b a) in a 2.296 * [taylor]: Taking taylor expansion of b in a 2.296 * [backup-simplify]: Simplify b into b 2.296 * [taylor]: Taking taylor expansion of a in a 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [backup-simplify]: Simplify (+ 0 b) into b 2.296 * [backup-simplify]: Simplify (- 0) into 0 2.296 * [backup-simplify]: Simplify (+ b 0) into b 2.296 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.296 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 2.297 * [backup-simplify]: Simplify (- 1) into -1 2.297 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.298 * [backup-simplify]: Simplify (+ 1 0) into 1 2.298 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 2.298 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow b 2))) into (pow b 2) 2.299 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.299 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 2.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.299 * [taylor]: Taking taylor expansion of 1/2 in b 2.299 * [backup-simplify]: Simplify 1/2 into 1/2 2.299 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.299 * [taylor]: Taking taylor expansion of PI in b 2.299 * [backup-simplify]: Simplify PI into PI 2.299 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.299 * [taylor]: Taking taylor expansion of b in b 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 1 into 1 2.300 * [backup-simplify]: Simplify (* 1 1) into 1 2.300 * [backup-simplify]: Simplify (/ PI 1) into PI 2.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (- 0) into 0 2.306 * [backup-simplify]: Simplify (+ 0 0) into 0 2.306 * [backup-simplify]: Simplify (+ 0 0) into 0 2.307 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 2.308 * [backup-simplify]: Simplify (+ (* 0 (- 1)) (+ (* 1 0) (* 0 (pow b 2)))) into 0 2.308 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into 0 2.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI (pow b 2)))) into 0 2.309 * [taylor]: Taking taylor expansion of 0 in b 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify (- 0) into 0 2.313 * [backup-simplify]: Simplify (+ 0 0) into 0 2.314 * [backup-simplify]: Simplify (+ 0 0) into 0 2.315 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 -1) (* 0 b)))) into 0 2.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 1)) (+ (* 0 0) (* 0 (pow b 2))))) into (- 1) 2.317 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* 0 (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 2.318 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 0) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 2.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 2.318 * [taylor]: Taking taylor expansion of 1/2 in b 2.318 * [backup-simplify]: Simplify 1/2 into 1/2 2.318 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 2.318 * [taylor]: Taking taylor expansion of PI in b 2.318 * [backup-simplify]: Simplify PI into PI 2.318 * [taylor]: Taking taylor expansion of (pow b 4) in b 2.318 * [taylor]: Taking taylor expansion of b in b 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (* 1 1) into 1 2.318 * [backup-simplify]: Simplify (* 1 1) into 1 2.319 * [backup-simplify]: Simplify (/ PI 1) into PI 2.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) (/ 1 a)) into (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 2.329 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 2.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 2.329 * [taylor]: Taking taylor expansion of 1/2 in b 2.329 * [backup-simplify]: Simplify 1/2 into 1/2 2.329 * [taylor]: Taking taylor expansion of (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 2.329 * [taylor]: Taking taylor expansion of (* PI a) in b 2.329 * [taylor]: Taking taylor expansion of PI in b 2.329 * [backup-simplify]: Simplify PI into PI 2.329 * [taylor]: Taking taylor expansion of a in b 2.329 * [backup-simplify]: Simplify a into a 2.329 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 2.330 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.330 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.330 * [taylor]: Taking taylor expansion of a in b 2.330 * [backup-simplify]: Simplify a into a 2.330 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.330 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.330 * [taylor]: Taking taylor expansion of b in b 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 1 into 1 2.330 * [backup-simplify]: Simplify (/ 1 1) into 1 2.330 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 2.330 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.330 * [taylor]: Taking taylor expansion of b in b 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 1 into 1 2.330 * [backup-simplify]: Simplify (/ 1 1) into 1 2.330 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.330 * [taylor]: Taking taylor expansion of a in b 2.330 * [backup-simplify]: Simplify a into a 2.330 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.330 * [backup-simplify]: Simplify (* PI a) into (* a PI) 2.331 * [backup-simplify]: Simplify (+ 0 1) into 1 2.331 * [backup-simplify]: Simplify (+ 1 0) into 1 2.331 * [backup-simplify]: Simplify (* 1 1) into 1 2.331 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 2.331 * [taylor]: Taking taylor expansion of 1/2 in a 2.331 * [backup-simplify]: Simplify 1/2 into 1/2 2.331 * [taylor]: Taking taylor expansion of (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 2.331 * [taylor]: Taking taylor expansion of (* PI a) in a 2.331 * [taylor]: Taking taylor expansion of PI in a 2.331 * [backup-simplify]: Simplify PI into PI 2.331 * [taylor]: Taking taylor expansion of a in a 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 2.331 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.331 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.331 * [taylor]: Taking taylor expansion of a in a 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (/ 1 1) into 1 2.332 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.332 * [taylor]: Taking taylor expansion of b in a 2.332 * [backup-simplify]: Simplify b into b 2.332 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.332 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.332 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.332 * [taylor]: Taking taylor expansion of b in a 2.332 * [backup-simplify]: Simplify b into b 2.332 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.332 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.332 * [taylor]: Taking taylor expansion of a in a 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (/ 1 1) into 1 2.332 * [backup-simplify]: Simplify (* PI 0) into 0 2.333 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.334 * [backup-simplify]: Simplify (+ 1 0) into 1 2.334 * [backup-simplify]: Simplify (- 1) into -1 2.334 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.334 * [backup-simplify]: Simplify (* 1 -1) into -1 2.335 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 2.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 2.335 * [taylor]: Taking taylor expansion of 1/2 in a 2.335 * [backup-simplify]: Simplify 1/2 into 1/2 2.335 * [taylor]: Taking taylor expansion of (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 2.335 * [taylor]: Taking taylor expansion of (* PI a) in a 2.335 * [taylor]: Taking taylor expansion of PI in a 2.335 * [backup-simplify]: Simplify PI into PI 2.335 * [taylor]: Taking taylor expansion of a in a 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify 1 into 1 2.335 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 2.335 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.335 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.335 * [taylor]: Taking taylor expansion of a in a 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify 1 into 1 2.337 * [backup-simplify]: Simplify (/ 1 1) into 1 2.337 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.337 * [taylor]: Taking taylor expansion of b in a 2.337 * [backup-simplify]: Simplify b into b 2.337 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.337 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.337 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.337 * [taylor]: Taking taylor expansion of b in a 2.337 * [backup-simplify]: Simplify b into b 2.337 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.337 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.337 * [taylor]: Taking taylor expansion of a in a 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 1 into 1 2.338 * [backup-simplify]: Simplify (/ 1 1) into 1 2.338 * [backup-simplify]: Simplify (* PI 0) into 0 2.339 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.339 * [backup-simplify]: Simplify (+ 1 0) into 1 2.339 * [backup-simplify]: Simplify (- 1) into -1 2.340 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.340 * [backup-simplify]: Simplify (* 1 -1) into -1 2.340 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 2.341 * [backup-simplify]: Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI) 2.341 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 2.341 * [taylor]: Taking taylor expansion of -1/2 in b 2.341 * [backup-simplify]: Simplify -1/2 into -1/2 2.341 * [taylor]: Taking taylor expansion of PI in b 2.341 * [backup-simplify]: Simplify PI into PI 2.342 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.343 * [backup-simplify]: Simplify (- 0) into 0 2.343 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 2.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.344 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.344 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 2.344 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 2.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 PI))) into 0 2.345 * [taylor]: Taking taylor expansion of 0 in b 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.348 * [backup-simplify]: Simplify (- 0) into 0 2.349 * [backup-simplify]: Simplify (+ 0 0) into 0 2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.350 * [backup-simplify]: Simplify (+ 0 0) into 0 2.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 2.353 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI (pow b 2))) 2.355 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (+ (* 0 0) (* 0 (* -1 PI)))) into (- (* 1/2 (/ PI (pow b 2)))) 2.355 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 2.355 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.355 * [taylor]: Taking taylor expansion of 1/2 in b 2.355 * [backup-simplify]: Simplify 1/2 into 1/2 2.355 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.355 * [taylor]: Taking taylor expansion of PI in b 2.355 * [backup-simplify]: Simplify PI into PI 2.355 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.355 * [taylor]: Taking taylor expansion of b in b 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.356 * [backup-simplify]: Simplify (* 1 1) into 1 2.356 * [backup-simplify]: Simplify (/ PI 1) into PI 2.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.365 * [backup-simplify]: Simplify (- 0) into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (- a))) into (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 2.366 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 2.366 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 2.366 * [taylor]: Taking taylor expansion of 1/2 in b 2.366 * [backup-simplify]: Simplify 1/2 into 1/2 2.366 * [taylor]: Taking taylor expansion of (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 2.366 * [taylor]: Taking taylor expansion of (* a PI) in b 2.366 * [taylor]: Taking taylor expansion of a in b 2.366 * [backup-simplify]: Simplify a into a 2.366 * [taylor]: Taking taylor expansion of PI in b 2.366 * [backup-simplify]: Simplify PI into PI 2.366 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 2.366 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.366 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.366 * [taylor]: Taking taylor expansion of a in b 2.366 * [backup-simplify]: Simplify a into a 2.366 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.366 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.366 * [taylor]: Taking taylor expansion of b in b 2.366 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify 1 into 1 2.367 * [backup-simplify]: Simplify (/ 1 1) into 1 2.367 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 2.367 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.367 * [taylor]: Taking taylor expansion of a in b 2.367 * [backup-simplify]: Simplify a into a 2.367 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.367 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.367 * [taylor]: Taking taylor expansion of b in b 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.367 * [backup-simplify]: Simplify (/ 1 1) into 1 2.367 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.367 * [backup-simplify]: Simplify (+ 0 1) into 1 2.368 * [backup-simplify]: Simplify (- 1) into -1 2.368 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.368 * [backup-simplify]: Simplify (* 1 -1) into -1 2.368 * [backup-simplify]: Simplify (/ (* a PI) -1) into (* -1 (* a PI)) 2.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 2.368 * [taylor]: Taking taylor expansion of 1/2 in a 2.368 * [backup-simplify]: Simplify 1/2 into 1/2 2.368 * [taylor]: Taking taylor expansion of (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 2.368 * [taylor]: Taking taylor expansion of (* a PI) in a 2.368 * [taylor]: Taking taylor expansion of a in a 2.368 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify 1 into 1 2.368 * [taylor]: Taking taylor expansion of PI in a 2.368 * [backup-simplify]: Simplify PI into PI 2.368 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 2.369 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.369 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.369 * [taylor]: Taking taylor expansion of a in a 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify 1 into 1 2.369 * [backup-simplify]: Simplify (/ 1 1) into 1 2.369 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.369 * [taylor]: Taking taylor expansion of b in a 2.369 * [backup-simplify]: Simplify b into b 2.369 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.369 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.369 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.369 * [taylor]: Taking taylor expansion of a in a 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify 1 into 1 2.369 * [backup-simplify]: Simplify (/ 1 1) into 1 2.369 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.369 * [taylor]: Taking taylor expansion of b in a 2.369 * [backup-simplify]: Simplify b into b 2.369 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.370 * [backup-simplify]: Simplify (* 0 PI) into 0 2.371 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.371 * [backup-simplify]: Simplify (+ 1 0) into 1 2.371 * [backup-simplify]: Simplify (+ 1 0) into 1 2.371 * [backup-simplify]: Simplify (* 1 1) into 1 2.372 * [backup-simplify]: Simplify (/ PI 1) into PI 2.372 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 2.372 * [taylor]: Taking taylor expansion of 1/2 in a 2.372 * [backup-simplify]: Simplify 1/2 into 1/2 2.372 * [taylor]: Taking taylor expansion of (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 2.372 * [taylor]: Taking taylor expansion of (* a PI) in a 2.372 * [taylor]: Taking taylor expansion of a in a 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.372 * [taylor]: Taking taylor expansion of PI in a 2.372 * [backup-simplify]: Simplify PI into PI 2.372 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 2.372 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.372 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.372 * [taylor]: Taking taylor expansion of a in a 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.372 * [backup-simplify]: Simplify (/ 1 1) into 1 2.372 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.372 * [taylor]: Taking taylor expansion of b in a 2.372 * [backup-simplify]: Simplify b into b 2.372 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.372 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.372 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.372 * [taylor]: Taking taylor expansion of a in a 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.373 * [backup-simplify]: Simplify (/ 1 1) into 1 2.373 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.373 * [taylor]: Taking taylor expansion of b in a 2.373 * [backup-simplify]: Simplify b into b 2.373 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.373 * [backup-simplify]: Simplify (* 0 PI) into 0 2.374 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.374 * [backup-simplify]: Simplify (+ 1 0) into 1 2.374 * [backup-simplify]: Simplify (+ 1 0) into 1 2.375 * [backup-simplify]: Simplify (* 1 1) into 1 2.375 * [backup-simplify]: Simplify (/ PI 1) into PI 2.375 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.375 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.375 * [taylor]: Taking taylor expansion of 1/2 in b 2.375 * [backup-simplify]: Simplify 1/2 into 1/2 2.375 * [taylor]: Taking taylor expansion of PI in b 2.375 * [backup-simplify]: Simplify PI into PI 2.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.377 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 2.377 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 2.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.378 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.378 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 2.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.379 * [taylor]: Taking taylor expansion of 0 in b 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.382 * [backup-simplify]: Simplify (- 0) into 0 2.382 * [backup-simplify]: Simplify (+ 0 0) into 0 2.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.383 * [backup-simplify]: Simplify (+ 0 0) into 0 2.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 2.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow b 2)) 2.385 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 0) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.385 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.385 * [taylor]: Taking taylor expansion of 1/2 in b 2.385 * [backup-simplify]: Simplify 1/2 into 1/2 2.385 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.385 * [taylor]: Taking taylor expansion of PI in b 2.385 * [backup-simplify]: Simplify PI into PI 2.385 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.385 * [taylor]: Taking taylor expansion of b in b 2.385 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify 1 into 1 2.385 * [backup-simplify]: Simplify (* 1 1) into 1 2.385 * [backup-simplify]: Simplify (/ PI 1) into PI 2.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.394 * [backup-simplify]: Simplify (/ (/ PI 2) (+ a b)) into (* 1/2 (/ PI (+ a b))) 2.394 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 2.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 2.394 * [taylor]: Taking taylor expansion of 1/2 in b 2.394 * [backup-simplify]: Simplify 1/2 into 1/2 2.394 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 2.394 * [taylor]: Taking taylor expansion of PI in b 2.394 * [backup-simplify]: Simplify PI into PI 2.394 * [taylor]: Taking taylor expansion of (+ a b) in b 2.394 * [taylor]: Taking taylor expansion of a in b 2.394 * [backup-simplify]: Simplify a into a 2.394 * [taylor]: Taking taylor expansion of b in b 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.394 * [backup-simplify]: Simplify (+ a 0) into a 2.394 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 2.394 * [taylor]: Taking taylor expansion of 1/2 in a 2.394 * [backup-simplify]: Simplify 1/2 into 1/2 2.394 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.394 * [taylor]: Taking taylor expansion of PI in a 2.394 * [backup-simplify]: Simplify PI into PI 2.394 * [taylor]: Taking taylor expansion of (+ a b) in a 2.395 * [taylor]: Taking taylor expansion of a in a 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [taylor]: Taking taylor expansion of b in a 2.395 * [backup-simplify]: Simplify b into b 2.395 * [backup-simplify]: Simplify (+ 0 b) into b 2.395 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 2.395 * [taylor]: Taking taylor expansion of 1/2 in a 2.395 * [backup-simplify]: Simplify 1/2 into 1/2 2.395 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.395 * [taylor]: Taking taylor expansion of PI in a 2.395 * [backup-simplify]: Simplify PI into PI 2.395 * [taylor]: Taking taylor expansion of (+ a b) in a 2.395 * [taylor]: Taking taylor expansion of a in a 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [taylor]: Taking taylor expansion of b in a 2.395 * [backup-simplify]: Simplify b into b 2.395 * [backup-simplify]: Simplify (+ 0 b) into b 2.395 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.395 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 2.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.395 * [taylor]: Taking taylor expansion of 1/2 in b 2.395 * [backup-simplify]: Simplify 1/2 into 1/2 2.395 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.395 * [taylor]: Taking taylor expansion of PI in b 2.395 * [backup-simplify]: Simplify PI into PI 2.395 * [taylor]: Taking taylor expansion of b in b 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.396 * [backup-simplify]: Simplify (/ PI 1) into PI 2.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify (+ 1 0) into 1 2.399 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 2.399 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 2.399 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 2.399 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.399 * [taylor]: Taking taylor expansion of 1/2 in b 2.399 * [backup-simplify]: Simplify 1/2 into 1/2 2.399 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.399 * [taylor]: Taking taylor expansion of PI in b 2.399 * [backup-simplify]: Simplify PI into PI 2.399 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.399 * [taylor]: Taking taylor expansion of b in b 2.399 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify 1 into 1 2.400 * [backup-simplify]: Simplify (* 1 1) into 1 2.400 * [backup-simplify]: Simplify (/ PI 1) into PI 2.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.406 * [backup-simplify]: Simplify (- 0) into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.408 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify (+ 0 0) into 0 2.409 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.409 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 2.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.409 * [taylor]: Taking taylor expansion of 1/2 in b 2.409 * [backup-simplify]: Simplify 1/2 into 1/2 2.409 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.409 * [taylor]: Taking taylor expansion of PI in b 2.409 * [backup-simplify]: Simplify PI into PI 2.409 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.409 * [taylor]: Taking taylor expansion of b in b 2.409 * [backup-simplify]: Simplify 0 into 0 2.409 * [backup-simplify]: Simplify 1 into 1 2.410 * [backup-simplify]: Simplify (* 1 1) into 1 2.410 * [backup-simplify]: Simplify (* 1 1) into 1 2.411 * [backup-simplify]: Simplify (/ PI 1) into PI 2.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.425 * [backup-simplify]: Simplify (- 0) into 0 2.426 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 2.429 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.429 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.429 * [taylor]: Taking taylor expansion of 1/2 in b 2.429 * [backup-simplify]: Simplify 1/2 into 1/2 2.429 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.429 * [taylor]: Taking taylor expansion of PI in b 2.429 * [backup-simplify]: Simplify PI into PI 2.429 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.429 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.429 * [taylor]: Taking taylor expansion of a in b 2.429 * [backup-simplify]: Simplify a into a 2.429 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.429 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.429 * [taylor]: Taking taylor expansion of b in b 2.429 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify 1 into 1 2.430 * [backup-simplify]: Simplify (/ 1 1) into 1 2.430 * [backup-simplify]: Simplify (+ 0 1) into 1 2.431 * [backup-simplify]: Simplify (/ PI 1) into PI 2.431 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.431 * [taylor]: Taking taylor expansion of 1/2 in a 2.431 * [backup-simplify]: Simplify 1/2 into 1/2 2.431 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.431 * [taylor]: Taking taylor expansion of PI in a 2.431 * [backup-simplify]: Simplify PI into PI 2.431 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.431 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.431 * [taylor]: Taking taylor expansion of a in a 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 1 into 1 2.431 * [backup-simplify]: Simplify (/ 1 1) into 1 2.431 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.432 * [taylor]: Taking taylor expansion of b in a 2.432 * [backup-simplify]: Simplify b into b 2.432 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.432 * [backup-simplify]: Simplify (+ 1 0) into 1 2.433 * [backup-simplify]: Simplify (/ PI 1) into PI 2.433 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.433 * [taylor]: Taking taylor expansion of 1/2 in a 2.433 * [backup-simplify]: Simplify 1/2 into 1/2 2.433 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.433 * [taylor]: Taking taylor expansion of PI in a 2.433 * [backup-simplify]: Simplify PI into PI 2.433 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.433 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.433 * [taylor]: Taking taylor expansion of a in a 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.433 * [backup-simplify]: Simplify (/ 1 1) into 1 2.433 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.434 * [taylor]: Taking taylor expansion of b in a 2.434 * [backup-simplify]: Simplify b into b 2.434 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.434 * [backup-simplify]: Simplify (+ 1 0) into 1 2.435 * [backup-simplify]: Simplify (/ PI 1) into PI 2.436 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.436 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.436 * [taylor]: Taking taylor expansion of 1/2 in b 2.436 * [backup-simplify]: Simplify 1/2 into 1/2 2.436 * [taylor]: Taking taylor expansion of PI in b 2.436 * [backup-simplify]: Simplify PI into PI 2.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.437 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.438 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.439 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.439 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.439 * [taylor]: Taking taylor expansion of 1/2 in b 2.439 * [backup-simplify]: Simplify 1/2 into 1/2 2.439 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.439 * [taylor]: Taking taylor expansion of PI in b 2.439 * [backup-simplify]: Simplify PI into PI 2.439 * [taylor]: Taking taylor expansion of b in b 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.440 * [backup-simplify]: Simplify (/ PI 1) into PI 2.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.444 * [backup-simplify]: Simplify (- 0) into 0 2.444 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.445 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.446 * [backup-simplify]: Simplify (+ 0 0) into 0 2.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.448 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.449 * [taylor]: Taking taylor expansion of 1/2 in b 2.449 * [backup-simplify]: Simplify 1/2 into 1/2 2.449 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.449 * [taylor]: Taking taylor expansion of PI in b 2.449 * [backup-simplify]: Simplify PI into PI 2.449 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.449 * [taylor]: Taking taylor expansion of b in b 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (* 1 1) into 1 2.450 * [backup-simplify]: Simplify (/ PI 1) into PI 2.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.457 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.460 * [backup-simplify]: Simplify (- 0) into 0 2.460 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 2.462 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.462 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.462 * [taylor]: Taking taylor expansion of -1/2 in b 2.462 * [backup-simplify]: Simplify -1/2 into -1/2 2.462 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.462 * [taylor]: Taking taylor expansion of PI in b 2.462 * [backup-simplify]: Simplify PI into PI 2.462 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.462 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.462 * [taylor]: Taking taylor expansion of a in b 2.462 * [backup-simplify]: Simplify a into a 2.462 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.462 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.462 * [taylor]: Taking taylor expansion of b in b 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 1 into 1 2.463 * [backup-simplify]: Simplify (/ 1 1) into 1 2.463 * [backup-simplify]: Simplify (+ 0 1) into 1 2.464 * [backup-simplify]: Simplify (/ PI 1) into PI 2.464 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.464 * [taylor]: Taking taylor expansion of -1/2 in a 2.464 * [backup-simplify]: Simplify -1/2 into -1/2 2.464 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.464 * [taylor]: Taking taylor expansion of PI in a 2.464 * [backup-simplify]: Simplify PI into PI 2.464 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.464 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.464 * [taylor]: Taking taylor expansion of a in a 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [backup-simplify]: Simplify (/ 1 1) into 1 2.464 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.464 * [taylor]: Taking taylor expansion of b in a 2.464 * [backup-simplify]: Simplify b into b 2.465 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.465 * [backup-simplify]: Simplify (+ 1 0) into 1 2.466 * [backup-simplify]: Simplify (/ PI 1) into PI 2.466 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.466 * [taylor]: Taking taylor expansion of -1/2 in a 2.466 * [backup-simplify]: Simplify -1/2 into -1/2 2.466 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.466 * [taylor]: Taking taylor expansion of PI in a 2.466 * [backup-simplify]: Simplify PI into PI 2.466 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.466 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.466 * [taylor]: Taking taylor expansion of a in a 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [backup-simplify]: Simplify (/ 1 1) into 1 2.466 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.466 * [taylor]: Taking taylor expansion of b in a 2.466 * [backup-simplify]: Simplify b into b 2.466 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.469 * [backup-simplify]: Simplify (+ 1 0) into 1 2.470 * [backup-simplify]: Simplify (/ PI 1) into PI 2.471 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 2.471 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 2.471 * [taylor]: Taking taylor expansion of -1/2 in b 2.471 * [backup-simplify]: Simplify -1/2 into -1/2 2.471 * [taylor]: Taking taylor expansion of PI in b 2.471 * [backup-simplify]: Simplify PI into PI 2.472 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.473 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.474 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 2.474 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.474 * [taylor]: Taking taylor expansion of 1/2 in b 2.474 * [backup-simplify]: Simplify 1/2 into 1/2 2.474 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.474 * [taylor]: Taking taylor expansion of PI in b 2.474 * [backup-simplify]: Simplify PI into PI 2.474 * [taylor]: Taking taylor expansion of b in b 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify 1 into 1 2.475 * [backup-simplify]: Simplify (/ PI 1) into PI 2.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.479 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.480 * [backup-simplify]: Simplify (+ 0 0) into 0 2.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.482 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 2.482 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 2.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.482 * [taylor]: Taking taylor expansion of 1/2 in b 2.482 * [backup-simplify]: Simplify 1/2 into 1/2 2.482 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.483 * [taylor]: Taking taylor expansion of PI in b 2.483 * [backup-simplify]: Simplify PI into PI 2.483 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.483 * [taylor]: Taking taylor expansion of b in b 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 1 into 1 2.483 * [backup-simplify]: Simplify (* 1 1) into 1 2.483 * [backup-simplify]: Simplify (/ PI 1) into PI 2.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.488 * [backup-simplify]: Simplify (- 0) into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.489 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.489 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.491 * [backup-simplify]: Simplify (/ (/ PI 2) (+ a b)) into (* 1/2 (/ PI (+ a b))) 2.491 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 2.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 2.491 * [taylor]: Taking taylor expansion of 1/2 in b 2.491 * [backup-simplify]: Simplify 1/2 into 1/2 2.491 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 2.491 * [taylor]: Taking taylor expansion of PI in b 2.491 * [backup-simplify]: Simplify PI into PI 2.491 * [taylor]: Taking taylor expansion of (+ a b) in b 2.491 * [taylor]: Taking taylor expansion of a in b 2.491 * [backup-simplify]: Simplify a into a 2.491 * [taylor]: Taking taylor expansion of b in b 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 1 into 1 2.491 * [backup-simplify]: Simplify (+ a 0) into a 2.491 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 2.491 * [taylor]: Taking taylor expansion of 1/2 in a 2.491 * [backup-simplify]: Simplify 1/2 into 1/2 2.491 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.491 * [taylor]: Taking taylor expansion of PI in a 2.491 * [backup-simplify]: Simplify PI into PI 2.491 * [taylor]: Taking taylor expansion of (+ a b) in a 2.491 * [taylor]: Taking taylor expansion of a in a 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 1 into 1 2.491 * [taylor]: Taking taylor expansion of b in a 2.491 * [backup-simplify]: Simplify b into b 2.491 * [backup-simplify]: Simplify (+ 0 b) into b 2.491 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 2.491 * [taylor]: Taking taylor expansion of 1/2 in a 2.491 * [backup-simplify]: Simplify 1/2 into 1/2 2.491 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.491 * [taylor]: Taking taylor expansion of PI in a 2.491 * [backup-simplify]: Simplify PI into PI 2.491 * [taylor]: Taking taylor expansion of (+ a b) in a 2.491 * [taylor]: Taking taylor expansion of a in a 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 1 into 1 2.491 * [taylor]: Taking taylor expansion of b in a 2.491 * [backup-simplify]: Simplify b into b 2.491 * [backup-simplify]: Simplify (+ 0 b) into b 2.491 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.492 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 2.492 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.492 * [taylor]: Taking taylor expansion of 1/2 in b 2.492 * [backup-simplify]: Simplify 1/2 into 1/2 2.492 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.492 * [taylor]: Taking taylor expansion of PI in b 2.492 * [backup-simplify]: Simplify PI into PI 2.492 * [taylor]: Taking taylor expansion of b in b 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 1 into 1 2.492 * [backup-simplify]: Simplify (/ PI 1) into PI 2.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify (+ 1 0) into 1 2.494 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 2.494 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 2.494 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 2.494 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.494 * [taylor]: Taking taylor expansion of 1/2 in b 2.494 * [backup-simplify]: Simplify 1/2 into 1/2 2.494 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.494 * [taylor]: Taking taylor expansion of PI in b 2.494 * [backup-simplify]: Simplify PI into PI 2.494 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.494 * [taylor]: Taking taylor expansion of b in b 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 1 into 1 2.494 * [backup-simplify]: Simplify (* 1 1) into 1 2.495 * [backup-simplify]: Simplify (/ PI 1) into PI 2.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.498 * [backup-simplify]: Simplify (- 0) into 0 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify (+ 0 0) into 0 2.500 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.500 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 2.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.500 * [taylor]: Taking taylor expansion of 1/2 in b 2.500 * [backup-simplify]: Simplify 1/2 into 1/2 2.500 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.500 * [taylor]: Taking taylor expansion of PI in b 2.500 * [backup-simplify]: Simplify PI into PI 2.500 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.500 * [taylor]: Taking taylor expansion of b in b 2.500 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify 1 into 1 2.500 * [backup-simplify]: Simplify (* 1 1) into 1 2.500 * [backup-simplify]: Simplify (* 1 1) into 1 2.501 * [backup-simplify]: Simplify (/ PI 1) into PI 2.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.506 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.508 * [backup-simplify]: Simplify (- 0) into 0 2.508 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 2.511 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.511 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.511 * [taylor]: Taking taylor expansion of 1/2 in b 2.511 * [backup-simplify]: Simplify 1/2 into 1/2 2.511 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.511 * [taylor]: Taking taylor expansion of PI in b 2.511 * [backup-simplify]: Simplify PI into PI 2.511 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.511 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.511 * [taylor]: Taking taylor expansion of a in b 2.511 * [backup-simplify]: Simplify a into a 2.511 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.511 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.511 * [taylor]: Taking taylor expansion of b in b 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.512 * [backup-simplify]: Simplify (/ 1 1) into 1 2.512 * [backup-simplify]: Simplify (+ 0 1) into 1 2.513 * [backup-simplify]: Simplify (/ PI 1) into PI 2.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.513 * [taylor]: Taking taylor expansion of 1/2 in a 2.513 * [backup-simplify]: Simplify 1/2 into 1/2 2.513 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.513 * [taylor]: Taking taylor expansion of PI in a 2.513 * [backup-simplify]: Simplify PI into PI 2.513 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.513 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.513 * [taylor]: Taking taylor expansion of a in a 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 1 into 1 2.513 * [backup-simplify]: Simplify (/ 1 1) into 1 2.514 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.514 * [taylor]: Taking taylor expansion of b in a 2.514 * [backup-simplify]: Simplify b into b 2.514 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.514 * [backup-simplify]: Simplify (+ 1 0) into 1 2.515 * [backup-simplify]: Simplify (/ PI 1) into PI 2.515 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.515 * [taylor]: Taking taylor expansion of 1/2 in a 2.515 * [backup-simplify]: Simplify 1/2 into 1/2 2.515 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.515 * [taylor]: Taking taylor expansion of PI in a 2.515 * [backup-simplify]: Simplify PI into PI 2.515 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.515 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.515 * [taylor]: Taking taylor expansion of a in a 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 1 into 1 2.515 * [backup-simplify]: Simplify (/ 1 1) into 1 2.515 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.515 * [taylor]: Taking taylor expansion of b in a 2.515 * [backup-simplify]: Simplify b into b 2.515 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.516 * [backup-simplify]: Simplify (+ 1 0) into 1 2.516 * [backup-simplify]: Simplify (/ PI 1) into PI 2.517 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.517 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.517 * [taylor]: Taking taylor expansion of 1/2 in b 2.517 * [backup-simplify]: Simplify 1/2 into 1/2 2.517 * [taylor]: Taking taylor expansion of PI in b 2.517 * [backup-simplify]: Simplify PI into PI 2.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.518 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.519 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.520 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.520 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.520 * [taylor]: Taking taylor expansion of 1/2 in b 2.520 * [backup-simplify]: Simplify 1/2 into 1/2 2.520 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.520 * [taylor]: Taking taylor expansion of PI in b 2.520 * [backup-simplify]: Simplify PI into PI 2.520 * [taylor]: Taking taylor expansion of b in b 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 1 into 1 2.521 * [backup-simplify]: Simplify (/ PI 1) into PI 2.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.524 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.525 * [backup-simplify]: Simplify (- 0) into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.526 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.527 * [backup-simplify]: Simplify (+ 0 0) into 0 2.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.529 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.529 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.529 * [taylor]: Taking taylor expansion of 1/2 in b 2.529 * [backup-simplify]: Simplify 1/2 into 1/2 2.529 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.529 * [taylor]: Taking taylor expansion of PI in b 2.529 * [backup-simplify]: Simplify PI into PI 2.530 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.530 * [taylor]: Taking taylor expansion of b in b 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 1 into 1 2.530 * [backup-simplify]: Simplify (* 1 1) into 1 2.531 * [backup-simplify]: Simplify (/ PI 1) into PI 2.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.538 * [backup-simplify]: Simplify (- 0) into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 2.539 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.539 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.539 * [taylor]: Taking taylor expansion of -1/2 in b 2.539 * [backup-simplify]: Simplify -1/2 into -1/2 2.539 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.539 * [taylor]: Taking taylor expansion of PI in b 2.539 * [backup-simplify]: Simplify PI into PI 2.539 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.539 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.539 * [taylor]: Taking taylor expansion of a in b 2.539 * [backup-simplify]: Simplify a into a 2.539 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.539 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.539 * [taylor]: Taking taylor expansion of b in b 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify 1 into 1 2.539 * [backup-simplify]: Simplify (/ 1 1) into 1 2.540 * [backup-simplify]: Simplify (+ 0 1) into 1 2.540 * [backup-simplify]: Simplify (/ PI 1) into PI 2.540 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.540 * [taylor]: Taking taylor expansion of -1/2 in a 2.540 * [backup-simplify]: Simplify -1/2 into -1/2 2.540 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.540 * [taylor]: Taking taylor expansion of PI in a 2.540 * [backup-simplify]: Simplify PI into PI 2.540 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.540 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.540 * [taylor]: Taking taylor expansion of a in a 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify 1 into 1 2.540 * [backup-simplify]: Simplify (/ 1 1) into 1 2.540 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.541 * [taylor]: Taking taylor expansion of b in a 2.541 * [backup-simplify]: Simplify b into b 2.541 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.541 * [backup-simplify]: Simplify (+ 1 0) into 1 2.541 * [backup-simplify]: Simplify (/ PI 1) into PI 2.541 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.541 * [taylor]: Taking taylor expansion of -1/2 in a 2.541 * [backup-simplify]: Simplify -1/2 into -1/2 2.541 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.541 * [taylor]: Taking taylor expansion of PI in a 2.541 * [backup-simplify]: Simplify PI into PI 2.541 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.541 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.541 * [taylor]: Taking taylor expansion of a in a 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify 1 into 1 2.542 * [backup-simplify]: Simplify (/ 1 1) into 1 2.542 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.542 * [taylor]: Taking taylor expansion of b in a 2.542 * [backup-simplify]: Simplify b into b 2.542 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.542 * [backup-simplify]: Simplify (+ 1 0) into 1 2.542 * [backup-simplify]: Simplify (/ PI 1) into PI 2.543 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 2.543 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 2.543 * [taylor]: Taking taylor expansion of -1/2 in b 2.543 * [backup-simplify]: Simplify -1/2 into -1/2 2.543 * [taylor]: Taking taylor expansion of PI in b 2.543 * [backup-simplify]: Simplify PI into PI 2.543 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 2.543 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.544 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.545 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 2.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.545 * [taylor]: Taking taylor expansion of 1/2 in b 2.545 * [backup-simplify]: Simplify 1/2 into 1/2 2.545 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.545 * [taylor]: Taking taylor expansion of PI in b 2.545 * [backup-simplify]: Simplify PI into PI 2.545 * [taylor]: Taking taylor expansion of b in b 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify 1 into 1 2.545 * [backup-simplify]: Simplify (/ PI 1) into PI 2.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.548 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.548 * [backup-simplify]: Simplify (+ 0 0) into 0 2.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.550 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 2.550 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 2.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.550 * [taylor]: Taking taylor expansion of 1/2 in b 2.550 * [backup-simplify]: Simplify 1/2 into 1/2 2.550 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.550 * [taylor]: Taking taylor expansion of PI in b 2.550 * [backup-simplify]: Simplify PI into PI 2.550 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.550 * [taylor]: Taking taylor expansion of b in b 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify 1 into 1 2.550 * [backup-simplify]: Simplify (* 1 1) into 1 2.550 * [backup-simplify]: Simplify (/ PI 1) into PI 2.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.555 * [backup-simplify]: Simplify (- 0) into 0 2.555 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.556 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * * * [progress]: simplifying candidates 2.557 * * * * [progress]: [ 1 / 2608 ] simplifiying candidate # 2.557 * * * * [progress]: [ 2 / 2608 ] simplifiying candidate # 2.558 * * * * [progress]: [ 3 / 2608 ] simplifiying candidate # 2.558 * * * * [progress]: [ 4 / 2608 ] simplifiying candidate # 2.558 * * * * [progress]: [ 5 / 2608 ] simplifiying candidate # 2.558 * * * * [progress]: [ 6 / 2608 ] simplifiying candidate # 2.558 * * * * [progress]: [ 7 / 2608 ] simplifiying candidate # 2.558 * * * * [progress]: [ 8 / 2608 ] simplifiying candidate # 2.558 * * * * [progress]: [ 9 / 2608 ] simplifiying candidate # 2.558 * * * * [progress]: [ 10 / 2608 ] simplifiying candidate # 2.558 * * * * [progress]: [ 11 / 2608 ] simplifiying candidate # 2.558 * * * * [progress]: [ 12 / 2608 ] simplifiying candidate # 2.558 * * * * [progress]: [ 13 / 2608 ] simplifiying candidate # 2.558 * * * * [progress]: [ 14 / 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2608 ] simplifiying candidate # 2.763 * * * * [progress]: [ 2551 / 2608 ] simplifiying candidate # 2.763 * * * * [progress]: [ 2552 / 2608 ] simplifiying candidate # 2.763 * * * * [progress]: [ 2553 / 2608 ] simplifiying candidate # 2.763 * * * * [progress]: [ 2554 / 2608 ] simplifiying candidate # 2.763 * * * * [progress]: [ 2555 / 2608 ] simplifiying candidate # 2.763 * * * * [progress]: [ 2556 / 2608 ] simplifiying candidate # 2.763 * * * * [progress]: [ 2557 / 2608 ] simplifiying candidate # 2.764 * * * * [progress]: [ 2558 / 2608 ] simplifiying candidate # 2.764 * * * * [progress]: [ 2559 / 2608 ] simplifiying candidate # 2.764 * * * * [progress]: [ 2560 / 2608 ] simplifiying candidate # 2.764 * * * * [progress]: [ 2561 / 2608 ] simplifiying candidate # 2.764 * * * * [progress]: [ 2562 / 2608 ] simplifiying candidate # 2.764 * * * * [progress]: [ 2563 / 2608 ] simplifiying candidate # 2.764 * * * * [progress]: [ 2564 / 2608 ] simplifiying candidate # 2.764 * * * * [progress]: [ 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[progress]: [ 2580 / 2608 ] simplifiying candidate # 2.765 * * * * [progress]: [ 2581 / 2608 ] simplifiying candidate # 2.765 * * * * [progress]: [ 2582 / 2608 ] simplifiying candidate # 2.766 * * * * [progress]: [ 2583 / 2608 ] simplifiying candidate # 2.766 * * * * [progress]: [ 2584 / 2608 ] simplifiying candidate # 2.766 * * * * [progress]: [ 2585 / 2608 ] simplifiying candidate # 2.766 * * * * [progress]: [ 2586 / 2608 ] simplifiying candidate # 2.766 * * * * [progress]: [ 2587 / 2608 ] simplifiying candidate # 2.766 * * * * [progress]: [ 2588 / 2608 ] simplifiying candidate # 2.766 * * * * [progress]: [ 2589 / 2608 ] simplifiying candidate # 2.766 * * * * [progress]: [ 2590 / 2608 ] simplifiying candidate # 2.766 * * * * [progress]: [ 2591 / 2608 ] simplifiying candidate # 2.766 * * * * [progress]: [ 2592 / 2608 ] simplifiying candidate # 2.766 * * * * [progress]: [ 2593 / 2608 ] simplifiying candidate # 2.766 * * * * [progress]: [ 2594 / 2608 ] simplifiying candidate # 2.766 * * * * [progress]: [ 2595 / 2608 ] simplifiying candidate # 2.767 * * * * [progress]: [ 2596 / 2608 ] simplifiying candidate #real (real->posit16 (/ (/ PI 2) (+ a b)))) (- b a)) a) (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)))> 2.767 * * * * [progress]: [ 2597 / 2608 ] simplifiying candidate # 2.767 * * * * [progress]: [ 2598 / 2608 ] simplifiying candidate # 2.767 * * * * [progress]: [ 2599 / 2608 ] simplifiying candidate # 2.767 * * * * [progress]: [ 2600 / 2608 ] simplifiying candidate # 2.767 * * * * [progress]: [ 2601 / 2608 ] simplifiying candidate # 2.767 * * * * [progress]: [ 2602 / 2608 ] simplifiying candidate # 2.767 * * * * [progress]: [ 2603 / 2608 ] simplifiying candidate # 2.767 * * * * [progress]: [ 2604 / 2608 ] simplifiying candidate # 2.767 * * * * [progress]: [ 2605 / 2608 ] simplifiying candidate # 2.767 * * * * [progress]: [ 2606 / 2608 ] simplifiying candidate # 2.767 * * * * [progress]: [ 2607 / 2608 ] simplifiying candidate # 2.767 * * * * [progress]: [ 2608 / 2608 ] simplifiying candidate # 2.839 * [simplify]: Simplifying: (expm1 (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (log1p (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (- (- (- (- (log PI) (log 2)) (log (+ a b))) (log (- b a))) (log b)) (- (- (- (log (/ PI 2)) (log (+ a b))) (log (- b a))) (log b)) (- (- (log (/ (/ PI 2) (+ a b))) (log (- b a))) (log b)) (- (log (/ (/ (/ PI 2) (+ a b)) (- b a))) (log b)) (log (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (exp (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (/ (/ (/ (/ (* (* PI PI) PI) (* (* 2 2) 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- b a) (- b a)) (- b a))) (* (* b b) b)) (/ (/ (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- b a) (- b a)) (- b a))) (* (* b b) b)) (/ (/ (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) (* (* (- b a) (- b a)) (- b a))) (* (* b b) b)) (/ (* (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (/ (/ PI 2) (+ a b)) (- b a))) (/ (/ (/ PI 2) (+ a b)) (- b a))) (* (* b b) b)) (* (cbrt (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (cbrt (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b))) (cbrt (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (* (* (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b) (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (sqrt (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (sqrt (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (- (/ (/ (/ PI 2) (+ a b)) (- b a))) (- b) (/ (* (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a)))) (* (cbrt b) (cbrt b))) (/ (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (cbrt b)) (/ (* (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a)))) (sqrt b)) (/ (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (sqrt b)) (/ (* (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a)))) 1) (/ (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) b) (/ (sqrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (* (cbrt b) (cbrt b))) (/ (sqrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (cbrt b)) (/ (sqrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (sqrt 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b) (/ (sqrt PI) 2)) (/ (+ a b) (/ PI (cbrt 2))) (/ (+ a b) (/ PI (sqrt 2))) (/ (+ a b) (/ PI 2)) (/ (+ a b) (/ PI 2)) (/ (+ a b) (/ 1 2)) (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (/ (/ PI 2) (- (* a a) (* b b))) (* (+ a b) 2) (real->posit16 (/ (/ PI 2) (+ a b))) (expm1 (/ (/ PI 2) (+ a b))) (log1p (/ (/ PI 2) (+ a b))) (- (- (log PI) (log 2)) (log (+ a b))) (- (log (/ PI 2)) (log (+ a b))) (log (/ (/ PI 2) (+ a b))) (exp (/ (/ PI 2) (+ a b))) (/ (/ (* (* PI PI) PI) (* (* 2 2) 2)) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (cbrt (/ (/ PI 2) (+ a b))) (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) (sqrt (/ (/ PI 2) (+ a b))) (sqrt (/ (/ PI 2) (+ a b))) (- (/ PI 2)) (- (+ a b)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (/ (cbrt (/ PI 2)) (sqrt (+ a b))) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) (/ (cbrt (/ PI 2)) (+ a b)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) (/ (cbrt (/ PI 2)) (+ a b)) (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) 1) (/ (sqrt (/ PI 2)) (+ a b)) (/ (sqrt (/ PI 2)) 1) (/ (sqrt (/ PI 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (cbrt PI) (cbrt 2)) (cbrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (sqrt (+ a b))) (/ (/ (cbrt PI) (cbrt 2)) (sqrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (cbrt PI) (cbrt 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (cbrt PI) (cbrt 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (cbrt PI) (sqrt 2)) (cbrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (sqrt (+ a b))) (/ (/ (cbrt PI) (sqrt 2)) (sqrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) 1) (/ (/ (cbrt PI) (sqrt 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) 1) (/ (/ (cbrt PI) (sqrt 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (cbrt PI) 2) (cbrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (sqrt (+ a b))) (/ (/ (cbrt PI) 2) (sqrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) 1) 1) (/ (/ (cbrt PI) 2) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) 1) (/ (/ (cbrt PI) 2) (+ a b)) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt PI) (cbrt 2)) (cbrt (+ a b))) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) (sqrt (+ a b))) (/ (/ (sqrt PI) (cbrt 2)) (sqrt (+ a b))) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (sqrt PI) (cbrt 2)) (+ a b)) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (sqrt PI) (cbrt 2)) (+ a b)) (/ (/ (sqrt PI) (sqrt 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt PI) (sqrt 2)) (cbrt (+ a b))) (/ (/ (sqrt PI) (sqrt 2)) (sqrt (+ a b))) (/ (/ (sqrt PI) (sqrt 2)) (sqrt (+ a b))) (/ (/ (sqrt PI) (sqrt 2)) 1) (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) (/ (/ (sqrt PI) (sqrt 2)) 1) (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) (/ (/ (sqrt PI) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt PI) 2) (cbrt (+ a b))) (/ (/ (sqrt PI) 1) (sqrt (+ a b))) (/ (/ (sqrt PI) 2) (sqrt (+ a b))) (/ (/ (sqrt PI) 1) 1) (/ (/ (sqrt PI) 2) (+ a b)) (/ (/ (sqrt PI) 1) 1) (/ (/ (sqrt PI) 2) (+ a b)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (cbrt 2)) (cbrt (+ a b))) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt (+ a b))) (/ (/ PI (cbrt 2)) (sqrt (+ a b))) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (/ (/ PI (cbrt 2)) (+ a b)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (/ (/ PI (cbrt 2)) (+ a b)) (/ (/ 1 (sqrt 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (sqrt 2)) (cbrt (+ a b))) (/ (/ 1 (sqrt 2)) (sqrt (+ a b))) (/ (/ PI (sqrt 2)) (sqrt (+ a b))) (/ (/ 1 (sqrt 2)) 1) (/ (/ PI (sqrt 2)) (+ a b)) (/ (/ 1 (sqrt 2)) 1) (/ (/ PI (sqrt 2)) (+ a b)) (/ (/ 1 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b))) (/ (/ 1 1) (sqrt (+ a b))) (/ (/ PI 2) (sqrt (+ a b))) (/ (/ 1 1) 1) (/ (/ PI 2) (+ a b)) (/ (/ 1 1) 1) (/ (/ PI 2) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ (/ PI 2) (sqrt (+ a b))) (/ 1 1) (/ (/ PI 2) (+ a b)) (/ 1 1) (/ (/ PI 2) (+ a b)) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b))) (/ PI (sqrt (+ a b))) (/ (/ 1 2) (sqrt (+ a b))) (/ PI 1) (/ (/ 1 2) (+ a b)) (/ PI 1) (/ (/ 1 2) (+ a b)) (/ 1 (+ a b)) (/ (+ a b) (/ PI 2)) (/ (/ PI 2) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (sqrt (+ a b))) (/ (/ PI 2) 1) (/ (/ PI 2) 1) (/ (+ a b) (cbrt (/ PI 2))) (/ (+ a b) (sqrt (/ PI 2))) (/ (+ a b) (/ (cbrt PI) (cbrt 2))) (/ (+ a b) (/ (cbrt PI) (sqrt 2))) (/ (+ a b) (/ (cbrt PI) 2)) (/ (+ a b) (/ (sqrt PI) (cbrt 2))) (/ (+ a b) (/ (sqrt PI) (sqrt 2))) (/ (+ a b) (/ (sqrt PI) 2)) (/ (+ a b) (/ PI (cbrt 2))) (/ (+ a b) (/ PI (sqrt 2))) (/ (+ a b) (/ PI 2)) (/ (+ a b) (/ PI 2)) (/ (+ a b) (/ 1 2)) (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (/ (/ PI 2) (- (* a a) (* b b))) (* (+ a b) 2) (real->posit16 (/ (/ PI 2) (+ a b))) 0 0 0 0 0 0 0 0 0 0 0 0 5.195 * * * [progress]: adding candidates to table 43.122 * * [progress]: iteration 2 / 4 43.122 * * * [progress]: picking best candidate 43.223 * * * * [pick]: Picked # 43.223 * * * [progress]: localizing error 43.262 * * * [progress]: generating rewritten candidates 43.263 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 43.317 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 43.340 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 43.362 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 43.525 * * * [progress]: generating series expansions 43.525 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 43.526 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a) into (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) 43.526 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in (a b) around 0 43.526 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in b 43.526 * [taylor]: Taking taylor expansion of 1/2 in b 43.526 * [backup-simplify]: Simplify 1/2 into 1/2 43.526 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) (- b a)))) in b 43.526 * [taylor]: Taking taylor expansion of PI in b 43.526 * [backup-simplify]: Simplify PI into PI 43.526 * [taylor]: Taking taylor expansion of (* a (* (+ a b) (- b a))) in b 43.527 * [taylor]: Taking taylor expansion of a in b 43.527 * [backup-simplify]: Simplify a into a 43.527 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 43.527 * [taylor]: Taking taylor expansion of (+ a b) in b 43.527 * [taylor]: Taking taylor expansion of a in b 43.527 * [backup-simplify]: Simplify a into a 43.527 * [taylor]: Taking taylor expansion of b in b 43.527 * [backup-simplify]: Simplify 0 into 0 43.527 * [backup-simplify]: Simplify 1 into 1 43.527 * [taylor]: Taking taylor expansion of (- b a) in b 43.527 * [taylor]: Taking taylor expansion of b in b 43.527 * [backup-simplify]: Simplify 0 into 0 43.527 * [backup-simplify]: Simplify 1 into 1 43.527 * [taylor]: Taking taylor expansion of a in b 43.527 * [backup-simplify]: Simplify a into a 43.527 * [backup-simplify]: Simplify (+ a 0) into a 43.527 * [backup-simplify]: Simplify (- a) into (- a) 43.527 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 43.527 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 43.527 * [backup-simplify]: Simplify (* a (* -1 (pow a 2))) into (* -1 (pow a 3)) 43.527 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 3))) into (* -1 (/ PI (pow a 3))) 43.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in a 43.527 * [taylor]: Taking taylor expansion of 1/2 in a 43.527 * [backup-simplify]: Simplify 1/2 into 1/2 43.528 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) (- b a)))) in a 43.528 * [taylor]: Taking taylor expansion of PI in a 43.528 * [backup-simplify]: Simplify PI into PI 43.528 * [taylor]: Taking taylor expansion of (* a (* (+ a b) (- b a))) in a 43.528 * [taylor]: Taking taylor expansion of a in a 43.528 * [backup-simplify]: Simplify 0 into 0 43.528 * [backup-simplify]: Simplify 1 into 1 43.528 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 43.528 * [taylor]: Taking taylor expansion of (+ a b) in a 43.528 * [taylor]: Taking taylor expansion of a in a 43.528 * [backup-simplify]: Simplify 0 into 0 43.528 * [backup-simplify]: Simplify 1 into 1 43.528 * [taylor]: Taking taylor expansion of b in a 43.528 * [backup-simplify]: Simplify b into b 43.528 * [taylor]: Taking taylor expansion of (- b a) in a 43.528 * [taylor]: Taking taylor expansion of b in a 43.528 * [backup-simplify]: Simplify b into b 43.528 * [taylor]: Taking taylor expansion of a in a 43.528 * [backup-simplify]: Simplify 0 into 0 43.528 * [backup-simplify]: Simplify 1 into 1 43.528 * [backup-simplify]: Simplify (+ 0 b) into b 43.529 * [backup-simplify]: Simplify (- 0) into 0 43.529 * [backup-simplify]: Simplify (+ b 0) into b 43.529 * [backup-simplify]: Simplify (* b b) into (pow b 2) 43.529 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 43.529 * [backup-simplify]: Simplify (- 1) into -1 43.530 * [backup-simplify]: Simplify (+ 0 -1) into -1 43.530 * [backup-simplify]: Simplify (+ 1 0) into 1 43.530 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 43.531 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow b 2))) into (pow b 2) 43.531 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 43.531 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in a 43.531 * [taylor]: Taking taylor expansion of 1/2 in a 43.531 * [backup-simplify]: Simplify 1/2 into 1/2 43.531 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) (- b a)))) in a 43.531 * [taylor]: Taking taylor expansion of PI in a 43.531 * [backup-simplify]: Simplify PI into PI 43.531 * [taylor]: Taking taylor expansion of (* a (* (+ a b) (- b a))) in a 43.531 * [taylor]: Taking taylor expansion of a in a 43.531 * [backup-simplify]: Simplify 0 into 0 43.531 * [backup-simplify]: Simplify 1 into 1 43.531 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 43.531 * [taylor]: Taking taylor expansion of (+ a b) in a 43.531 * [taylor]: Taking taylor expansion of a in a 43.532 * [backup-simplify]: Simplify 0 into 0 43.532 * [backup-simplify]: Simplify 1 into 1 43.532 * [taylor]: Taking taylor expansion of b in a 43.532 * [backup-simplify]: Simplify b into b 43.532 * [taylor]: Taking taylor expansion of (- b a) in a 43.532 * [taylor]: Taking taylor expansion of b in a 43.532 * [backup-simplify]: Simplify b into b 43.532 * [taylor]: Taking taylor expansion of a in a 43.532 * [backup-simplify]: Simplify 0 into 0 43.532 * [backup-simplify]: Simplify 1 into 1 43.532 * [backup-simplify]: Simplify (+ 0 b) into b 43.532 * [backup-simplify]: Simplify (- 0) into 0 43.532 * [backup-simplify]: Simplify (+ b 0) into b 43.532 * [backup-simplify]: Simplify (* b b) into (pow b 2) 43.532 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 43.533 * [backup-simplify]: Simplify (- 1) into -1 43.533 * [backup-simplify]: Simplify (+ 0 -1) into -1 43.534 * [backup-simplify]: Simplify (+ 1 0) into 1 43.534 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 43.534 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow b 2))) into (pow b 2) 43.535 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 43.535 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 43.535 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 43.535 * [taylor]: Taking taylor expansion of 1/2 in b 43.535 * [backup-simplify]: Simplify 1/2 into 1/2 43.535 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 43.535 * [taylor]: Taking taylor expansion of PI in b 43.535 * [backup-simplify]: Simplify PI into PI 43.535 * [taylor]: Taking taylor expansion of (pow b 2) in b 43.535 * [taylor]: Taking taylor expansion of b in b 43.535 * [backup-simplify]: Simplify 0 into 0 43.535 * [backup-simplify]: Simplify 1 into 1 43.535 * [backup-simplify]: Simplify (* 1 1) into 1 43.536 * [backup-simplify]: Simplify (/ PI 1) into PI 43.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 43.542 * [backup-simplify]: Simplify 0 into 0 43.542 * [backup-simplify]: Simplify (- 0) into 0 43.543 * [backup-simplify]: Simplify (+ 0 0) into 0 43.543 * [backup-simplify]: Simplify (+ 0 0) into 0 43.544 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 43.545 * [backup-simplify]: Simplify (+ (* 0 (- 1)) (+ (* 1 0) (* 0 (pow b 2)))) into 0 43.545 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into 0 43.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI (pow b 2)))) into 0 43.546 * [taylor]: Taking taylor expansion of 0 in b 43.546 * [backup-simplify]: Simplify 0 into 0 43.546 * [backup-simplify]: Simplify 0 into 0 43.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.550 * [backup-simplify]: Simplify 0 into 0 43.550 * [backup-simplify]: Simplify (- 0) into 0 43.551 * [backup-simplify]: Simplify (+ 0 0) into 0 43.551 * [backup-simplify]: Simplify (+ 0 0) into 0 43.552 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 -1) (* 0 b)))) into 0 43.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 1)) (+ (* 0 0) (* 0 (pow b 2))))) into (- 1) 43.554 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* 0 (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 43.555 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 0) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 43.555 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 43.555 * [taylor]: Taking taylor expansion of 1/2 in b 43.555 * [backup-simplify]: Simplify 1/2 into 1/2 43.555 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 43.555 * [taylor]: Taking taylor expansion of PI in b 43.555 * [backup-simplify]: Simplify PI into PI 43.555 * [taylor]: Taking taylor expansion of (pow b 4) in b 43.555 * [taylor]: Taking taylor expansion of b in b 43.555 * [backup-simplify]: Simplify 0 into 0 43.555 * [backup-simplify]: Simplify 1 into 1 43.556 * [backup-simplify]: Simplify (* 1 1) into 1 43.556 * [backup-simplify]: Simplify (* 1 1) into 1 43.556 * [backup-simplify]: Simplify (/ PI 1) into PI 43.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 43.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 43.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 43.570 * [backup-simplify]: Simplify 0 into 0 43.570 * [backup-simplify]: Simplify 0 into 0 43.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 43.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 43.574 * [backup-simplify]: Simplify 0 into 0 43.574 * [backup-simplify]: Simplify 0 into 0 43.575 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) (/ 1 a)) into (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 43.575 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 43.575 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 43.575 * [taylor]: Taking taylor expansion of 1/2 in b 43.575 * [backup-simplify]: Simplify 1/2 into 1/2 43.575 * [taylor]: Taking taylor expansion of (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 43.575 * [taylor]: Taking taylor expansion of (* PI a) in b 43.575 * [taylor]: Taking taylor expansion of PI in b 43.575 * [backup-simplify]: Simplify PI into PI 43.575 * [taylor]: Taking taylor expansion of a in b 43.575 * [backup-simplify]: Simplify a into a 43.575 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 43.575 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 43.575 * [taylor]: Taking taylor expansion of (/ 1 a) in b 43.575 * [taylor]: Taking taylor expansion of a in b 43.575 * [backup-simplify]: Simplify a into a 43.575 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 43.575 * [taylor]: Taking taylor expansion of (/ 1 b) in b 43.575 * [taylor]: Taking taylor expansion of b in b 43.575 * [backup-simplify]: Simplify 0 into 0 43.575 * [backup-simplify]: Simplify 1 into 1 43.576 * [backup-simplify]: Simplify (/ 1 1) into 1 43.576 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 43.576 * [taylor]: Taking taylor expansion of (/ 1 b) in b 43.576 * [taylor]: Taking taylor expansion of b in b 43.576 * [backup-simplify]: Simplify 0 into 0 43.576 * [backup-simplify]: Simplify 1 into 1 43.576 * [backup-simplify]: Simplify (/ 1 1) into 1 43.576 * [taylor]: Taking taylor expansion of (/ 1 a) in b 43.576 * [taylor]: Taking taylor expansion of a in b 43.576 * [backup-simplify]: Simplify a into a 43.576 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 43.576 * [backup-simplify]: Simplify (* PI a) into (* a PI) 43.577 * [backup-simplify]: Simplify (+ 0 1) into 1 43.577 * [backup-simplify]: Simplify (+ 1 0) into 1 43.577 * [backup-simplify]: Simplify (* 1 1) into 1 43.578 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 43.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 43.578 * [taylor]: Taking taylor expansion of 1/2 in a 43.578 * [backup-simplify]: Simplify 1/2 into 1/2 43.578 * [taylor]: Taking taylor expansion of (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 43.578 * [taylor]: Taking taylor expansion of (* PI a) in a 43.578 * [taylor]: Taking taylor expansion of PI in a 43.578 * [backup-simplify]: Simplify PI into PI 43.578 * [taylor]: Taking taylor expansion of a in a 43.578 * [backup-simplify]: Simplify 0 into 0 43.578 * [backup-simplify]: Simplify 1 into 1 43.578 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 43.578 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 43.578 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.578 * [taylor]: Taking taylor expansion of a in a 43.578 * [backup-simplify]: Simplify 0 into 0 43.578 * [backup-simplify]: Simplify 1 into 1 43.578 * [backup-simplify]: Simplify (/ 1 1) into 1 43.578 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.578 * [taylor]: Taking taylor expansion of b in a 43.578 * [backup-simplify]: Simplify b into b 43.578 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.578 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 43.578 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.578 * [taylor]: Taking taylor expansion of b in a 43.579 * [backup-simplify]: Simplify b into b 43.579 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.579 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.579 * [taylor]: Taking taylor expansion of a in a 43.579 * [backup-simplify]: Simplify 0 into 0 43.579 * [backup-simplify]: Simplify 1 into 1 43.579 * [backup-simplify]: Simplify (/ 1 1) into 1 43.579 * [backup-simplify]: Simplify (* PI 0) into 0 43.581 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 43.581 * [backup-simplify]: Simplify (+ 1 0) into 1 43.582 * [backup-simplify]: Simplify (- 1) into -1 43.582 * [backup-simplify]: Simplify (+ 0 -1) into -1 43.583 * [backup-simplify]: Simplify (* 1 -1) into -1 43.583 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 43.583 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 43.583 * [taylor]: Taking taylor expansion of 1/2 in a 43.583 * [backup-simplify]: Simplify 1/2 into 1/2 43.583 * [taylor]: Taking taylor expansion of (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 43.583 * [taylor]: Taking taylor expansion of (* PI a) in a 43.583 * [taylor]: Taking taylor expansion of PI in a 43.583 * [backup-simplify]: Simplify PI into PI 43.583 * [taylor]: Taking taylor expansion of a in a 43.583 * [backup-simplify]: Simplify 0 into 0 43.583 * [backup-simplify]: Simplify 1 into 1 43.583 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 43.583 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 43.583 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.583 * [taylor]: Taking taylor expansion of a in a 43.583 * [backup-simplify]: Simplify 0 into 0 43.583 * [backup-simplify]: Simplify 1 into 1 43.584 * [backup-simplify]: Simplify (/ 1 1) into 1 43.584 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.584 * [taylor]: Taking taylor expansion of b in a 43.584 * [backup-simplify]: Simplify b into b 43.584 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.584 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 43.584 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.584 * [taylor]: Taking taylor expansion of b in a 43.584 * [backup-simplify]: Simplify b into b 43.584 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.584 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.584 * [taylor]: Taking taylor expansion of a in a 43.584 * [backup-simplify]: Simplify 0 into 0 43.584 * [backup-simplify]: Simplify 1 into 1 43.585 * [backup-simplify]: Simplify (/ 1 1) into 1 43.585 * [backup-simplify]: Simplify (* PI 0) into 0 43.587 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 43.587 * [backup-simplify]: Simplify (+ 1 0) into 1 43.587 * [backup-simplify]: Simplify (- 1) into -1 43.588 * [backup-simplify]: Simplify (+ 0 -1) into -1 43.588 * [backup-simplify]: Simplify (* 1 -1) into -1 43.589 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 43.590 * [backup-simplify]: Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI) 43.590 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 43.590 * [taylor]: Taking taylor expansion of -1/2 in b 43.590 * [backup-simplify]: Simplify -1/2 into -1/2 43.590 * [taylor]: Taking taylor expansion of PI in b 43.590 * [backup-simplify]: Simplify PI into PI 43.591 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 43.591 * [backup-simplify]: Simplify 0 into 0 43.592 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 43.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 43.606 * [backup-simplify]: Simplify (- 0) into 0 43.606 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 43.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 43.607 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 43.607 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 43.607 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 43.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 PI))) into 0 43.608 * [taylor]: Taking taylor expansion of 0 in b 43.608 * [backup-simplify]: Simplify 0 into 0 43.608 * [backup-simplify]: Simplify 0 into 0 43.609 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.609 * [backup-simplify]: Simplify 0 into 0 43.610 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 43.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 43.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.611 * [backup-simplify]: Simplify (- 0) into 0 43.611 * [backup-simplify]: Simplify (+ 0 0) into 0 43.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 43.612 * [backup-simplify]: Simplify (+ 0 0) into 0 43.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 43.614 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI (pow b 2))) 43.614 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (+ (* 0 0) (* 0 (* -1 PI)))) into (- (* 1/2 (/ PI (pow b 2)))) 43.614 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 43.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 43.615 * [taylor]: Taking taylor expansion of 1/2 in b 43.615 * [backup-simplify]: Simplify 1/2 into 1/2 43.615 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 43.615 * [taylor]: Taking taylor expansion of PI in b 43.615 * [backup-simplify]: Simplify PI into PI 43.615 * [taylor]: Taking taylor expansion of (pow b 2) in b 43.615 * [taylor]: Taking taylor expansion of b in b 43.615 * [backup-simplify]: Simplify 0 into 0 43.615 * [backup-simplify]: Simplify 1 into 1 43.615 * [backup-simplify]: Simplify (* 1 1) into 1 43.615 * [backup-simplify]: Simplify (/ PI 1) into PI 43.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 43.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 43.621 * [backup-simplify]: Simplify (- 0) into 0 43.621 * [backup-simplify]: Simplify 0 into 0 43.622 * [backup-simplify]: Simplify 0 into 0 43.622 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 43.622 * [backup-simplify]: Simplify 0 into 0 43.622 * [backup-simplify]: Simplify 0 into 0 43.623 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (- a))) into (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 43.623 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 43.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 43.623 * [taylor]: Taking taylor expansion of 1/2 in b 43.623 * [backup-simplify]: Simplify 1/2 into 1/2 43.623 * [taylor]: Taking taylor expansion of (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 43.623 * [taylor]: Taking taylor expansion of (* a PI) in b 43.623 * [taylor]: Taking taylor expansion of a in b 43.623 * [backup-simplify]: Simplify a into a 43.623 * [taylor]: Taking taylor expansion of PI in b 43.623 * [backup-simplify]: Simplify PI into PI 43.623 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 43.623 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 43.623 * [taylor]: Taking taylor expansion of (/ 1 a) in b 43.623 * [taylor]: Taking taylor expansion of a in b 43.623 * [backup-simplify]: Simplify a into a 43.623 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 43.623 * [taylor]: Taking taylor expansion of (/ 1 b) in b 43.623 * [taylor]: Taking taylor expansion of b in b 43.623 * [backup-simplify]: Simplify 0 into 0 43.623 * [backup-simplify]: Simplify 1 into 1 43.624 * [backup-simplify]: Simplify (/ 1 1) into 1 43.624 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 43.624 * [taylor]: Taking taylor expansion of (/ 1 a) in b 43.624 * [taylor]: Taking taylor expansion of a in b 43.624 * [backup-simplify]: Simplify a into a 43.624 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 43.624 * [taylor]: Taking taylor expansion of (/ 1 b) in b 43.624 * [taylor]: Taking taylor expansion of b in b 43.624 * [backup-simplify]: Simplify 0 into 0 43.624 * [backup-simplify]: Simplify 1 into 1 43.624 * [backup-simplify]: Simplify (/ 1 1) into 1 43.624 * [backup-simplify]: Simplify (* a PI) into (* a PI) 43.624 * [backup-simplify]: Simplify (+ 0 1) into 1 43.625 * [backup-simplify]: Simplify (- 1) into -1 43.625 * [backup-simplify]: Simplify (+ 0 -1) into -1 43.625 * [backup-simplify]: Simplify (* 1 -1) into -1 43.625 * [backup-simplify]: Simplify (/ (* a PI) -1) into (* -1 (* a PI)) 43.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 43.625 * [taylor]: Taking taylor expansion of 1/2 in a 43.625 * [backup-simplify]: Simplify 1/2 into 1/2 43.625 * [taylor]: Taking taylor expansion of (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 43.625 * [taylor]: Taking taylor expansion of (* a PI) in a 43.625 * [taylor]: Taking taylor expansion of a in a 43.625 * [backup-simplify]: Simplify 0 into 0 43.625 * [backup-simplify]: Simplify 1 into 1 43.625 * [taylor]: Taking taylor expansion of PI in a 43.625 * [backup-simplify]: Simplify PI into PI 43.625 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 43.625 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 43.626 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.626 * [taylor]: Taking taylor expansion of a in a 43.626 * [backup-simplify]: Simplify 0 into 0 43.626 * [backup-simplify]: Simplify 1 into 1 43.626 * [backup-simplify]: Simplify (/ 1 1) into 1 43.626 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.626 * [taylor]: Taking taylor expansion of b in a 43.626 * [backup-simplify]: Simplify b into b 43.626 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.626 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 43.626 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.626 * [taylor]: Taking taylor expansion of a in a 43.626 * [backup-simplify]: Simplify 0 into 0 43.626 * [backup-simplify]: Simplify 1 into 1 43.626 * [backup-simplify]: Simplify (/ 1 1) into 1 43.626 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.626 * [taylor]: Taking taylor expansion of b in a 43.626 * [backup-simplify]: Simplify b into b 43.626 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.627 * [backup-simplify]: Simplify (* 0 PI) into 0 43.628 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 43.629 * [backup-simplify]: Simplify (+ 1 0) into 1 43.629 * [backup-simplify]: Simplify (+ 1 0) into 1 43.630 * [backup-simplify]: Simplify (* 1 1) into 1 43.630 * [backup-simplify]: Simplify (/ PI 1) into PI 43.630 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 43.630 * [taylor]: Taking taylor expansion of 1/2 in a 43.630 * [backup-simplify]: Simplify 1/2 into 1/2 43.630 * [taylor]: Taking taylor expansion of (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 43.630 * [taylor]: Taking taylor expansion of (* a PI) in a 43.630 * [taylor]: Taking taylor expansion of a in a 43.630 * [backup-simplify]: Simplify 0 into 0 43.630 * [backup-simplify]: Simplify 1 into 1 43.630 * [taylor]: Taking taylor expansion of PI in a 43.630 * [backup-simplify]: Simplify PI into PI 43.630 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 43.630 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 43.630 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.630 * [taylor]: Taking taylor expansion of a in a 43.630 * [backup-simplify]: Simplify 0 into 0 43.630 * [backup-simplify]: Simplify 1 into 1 43.631 * [backup-simplify]: Simplify (/ 1 1) into 1 43.631 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.631 * [taylor]: Taking taylor expansion of b in a 43.631 * [backup-simplify]: Simplify b into b 43.631 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.631 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 43.631 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.631 * [taylor]: Taking taylor expansion of a in a 43.631 * [backup-simplify]: Simplify 0 into 0 43.631 * [backup-simplify]: Simplify 1 into 1 43.631 * [backup-simplify]: Simplify (/ 1 1) into 1 43.631 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.631 * [taylor]: Taking taylor expansion of b in a 43.631 * [backup-simplify]: Simplify b into b 43.631 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.632 * [backup-simplify]: Simplify (* 0 PI) into 0 43.633 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 43.634 * [backup-simplify]: Simplify (+ 1 0) into 1 43.634 * [backup-simplify]: Simplify (+ 1 0) into 1 43.635 * [backup-simplify]: Simplify (* 1 1) into 1 43.635 * [backup-simplify]: Simplify (/ PI 1) into PI 43.636 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 43.636 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 43.636 * [taylor]: Taking taylor expansion of 1/2 in b 43.636 * [backup-simplify]: Simplify 1/2 into 1/2 43.636 * [taylor]: Taking taylor expansion of PI in b 43.636 * [backup-simplify]: Simplify PI into PI 43.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 43.638 * [backup-simplify]: Simplify 0 into 0 43.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 43.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 43.640 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 43.640 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 43.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 43.641 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 43.641 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 43.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 43.642 * [taylor]: Taking taylor expansion of 0 in b 43.642 * [backup-simplify]: Simplify 0 into 0 43.642 * [backup-simplify]: Simplify 0 into 0 43.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.643 * [backup-simplify]: Simplify 0 into 0 43.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 43.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 43.645 * [backup-simplify]: Simplify (- 0) into 0 43.645 * [backup-simplify]: Simplify (+ 0 0) into 0 43.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 43.646 * [backup-simplify]: Simplify (+ 0 0) into 0 43.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 43.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow b 2)) 43.648 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 0) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 43.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 43.648 * [taylor]: Taking taylor expansion of 1/2 in b 43.648 * [backup-simplify]: Simplify 1/2 into 1/2 43.648 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 43.648 * [taylor]: Taking taylor expansion of PI in b 43.648 * [backup-simplify]: Simplify PI into PI 43.648 * [taylor]: Taking taylor expansion of (pow b 2) in b 43.648 * [taylor]: Taking taylor expansion of b in b 43.648 * [backup-simplify]: Simplify 0 into 0 43.648 * [backup-simplify]: Simplify 1 into 1 43.648 * [backup-simplify]: Simplify (* 1 1) into 1 43.649 * [backup-simplify]: Simplify (/ PI 1) into PI 43.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 43.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 43.654 * [backup-simplify]: Simplify 0 into 0 43.654 * [backup-simplify]: Simplify 0 into 0 43.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 43.655 * [backup-simplify]: Simplify 0 into 0 43.655 * [backup-simplify]: Simplify 0 into 0 43.655 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 43.656 * [backup-simplify]: Simplify (/ (/ PI 2) (+ a b)) into (* 1/2 (/ PI (+ a b))) 43.656 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 43.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 43.656 * [taylor]: Taking taylor expansion of 1/2 in b 43.656 * [backup-simplify]: Simplify 1/2 into 1/2 43.656 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 43.656 * [taylor]: Taking taylor expansion of PI in b 43.656 * [backup-simplify]: Simplify PI into PI 43.656 * [taylor]: Taking taylor expansion of (+ a b) in b 43.656 * [taylor]: Taking taylor expansion of a in b 43.656 * [backup-simplify]: Simplify a into a 43.656 * [taylor]: Taking taylor expansion of b in b 43.656 * [backup-simplify]: Simplify 0 into 0 43.656 * [backup-simplify]: Simplify 1 into 1 43.656 * [backup-simplify]: Simplify (+ a 0) into a 43.656 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 43.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 43.656 * [taylor]: Taking taylor expansion of 1/2 in a 43.656 * [backup-simplify]: Simplify 1/2 into 1/2 43.656 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 43.656 * [taylor]: Taking taylor expansion of PI in a 43.656 * [backup-simplify]: Simplify PI into PI 43.656 * [taylor]: Taking taylor expansion of (+ a b) in a 43.656 * [taylor]: Taking taylor expansion of a in a 43.656 * [backup-simplify]: Simplify 0 into 0 43.656 * [backup-simplify]: Simplify 1 into 1 43.656 * [taylor]: Taking taylor expansion of b in a 43.656 * [backup-simplify]: Simplify b into b 43.656 * [backup-simplify]: Simplify (+ 0 b) into b 43.656 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 43.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 43.656 * [taylor]: Taking taylor expansion of 1/2 in a 43.656 * [backup-simplify]: Simplify 1/2 into 1/2 43.656 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 43.656 * [taylor]: Taking taylor expansion of PI in a 43.656 * [backup-simplify]: Simplify PI into PI 43.656 * [taylor]: Taking taylor expansion of (+ a b) in a 43.656 * [taylor]: Taking taylor expansion of a in a 43.657 * [backup-simplify]: Simplify 0 into 0 43.657 * [backup-simplify]: Simplify 1 into 1 43.657 * [taylor]: Taking taylor expansion of b in a 43.657 * [backup-simplify]: Simplify b into b 43.657 * [backup-simplify]: Simplify (+ 0 b) into b 43.657 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 43.657 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 43.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 43.657 * [taylor]: Taking taylor expansion of 1/2 in b 43.657 * [backup-simplify]: Simplify 1/2 into 1/2 43.657 * [taylor]: Taking taylor expansion of (/ PI b) in b 43.657 * [taylor]: Taking taylor expansion of PI in b 43.657 * [backup-simplify]: Simplify PI into PI 43.657 * [taylor]: Taking taylor expansion of b in b 43.657 * [backup-simplify]: Simplify 0 into 0 43.657 * [backup-simplify]: Simplify 1 into 1 43.657 * [backup-simplify]: Simplify (/ PI 1) into PI 43.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 43.658 * [backup-simplify]: Simplify 0 into 0 43.658 * [backup-simplify]: Simplify (+ 1 0) into 1 43.659 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 43.659 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 43.659 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 43.659 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 43.659 * [taylor]: Taking taylor expansion of 1/2 in b 43.659 * [backup-simplify]: Simplify 1/2 into 1/2 43.659 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 43.659 * [taylor]: Taking taylor expansion of PI in b 43.659 * [backup-simplify]: Simplify PI into PI 43.659 * [taylor]: Taking taylor expansion of (pow b 2) in b 43.659 * [taylor]: Taking taylor expansion of b in b 43.659 * [backup-simplify]: Simplify 0 into 0 43.659 * [backup-simplify]: Simplify 1 into 1 43.659 * [backup-simplify]: Simplify (* 1 1) into 1 43.659 * [backup-simplify]: Simplify (/ PI 1) into PI 43.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 43.662 * [backup-simplify]: Simplify (- 0) into 0 43.662 * [backup-simplify]: Simplify 0 into 0 43.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 43.664 * [backup-simplify]: Simplify 0 into 0 43.664 * [backup-simplify]: Simplify (+ 0 0) into 0 43.664 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 43.664 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 43.664 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 43.664 * [taylor]: Taking taylor expansion of 1/2 in b 43.664 * [backup-simplify]: Simplify 1/2 into 1/2 43.664 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 43.665 * [taylor]: Taking taylor expansion of PI in b 43.665 * [backup-simplify]: Simplify PI into PI 43.665 * [taylor]: Taking taylor expansion of (pow b 3) in b 43.665 * [taylor]: Taking taylor expansion of b in b 43.665 * [backup-simplify]: Simplify 0 into 0 43.665 * [backup-simplify]: Simplify 1 into 1 43.665 * [backup-simplify]: Simplify (* 1 1) into 1 43.665 * [backup-simplify]: Simplify (* 1 1) into 1 43.665 * [backup-simplify]: Simplify (/ PI 1) into PI 43.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.672 * [backup-simplify]: Simplify 0 into 0 43.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.676 * [backup-simplify]: Simplify (- 0) into 0 43.676 * [backup-simplify]: Simplify 0 into 0 43.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.678 * [backup-simplify]: Simplify 0 into 0 43.679 * [backup-simplify]: Simplify 0 into 0 43.679 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 43.679 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 43.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 43.679 * [taylor]: Taking taylor expansion of 1/2 in b 43.679 * [backup-simplify]: Simplify 1/2 into 1/2 43.679 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 43.679 * [taylor]: Taking taylor expansion of PI in b 43.680 * [backup-simplify]: Simplify PI into PI 43.680 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 43.680 * [taylor]: Taking taylor expansion of (/ 1 a) in b 43.680 * [taylor]: Taking taylor expansion of a in b 43.680 * [backup-simplify]: Simplify a into a 43.680 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 43.680 * [taylor]: Taking taylor expansion of (/ 1 b) in b 43.680 * [taylor]: Taking taylor expansion of b in b 43.680 * [backup-simplify]: Simplify 0 into 0 43.680 * [backup-simplify]: Simplify 1 into 1 43.680 * [backup-simplify]: Simplify (/ 1 1) into 1 43.681 * [backup-simplify]: Simplify (+ 0 1) into 1 43.681 * [backup-simplify]: Simplify (/ PI 1) into PI 43.681 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 43.681 * [taylor]: Taking taylor expansion of 1/2 in a 43.682 * [backup-simplify]: Simplify 1/2 into 1/2 43.682 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 43.682 * [taylor]: Taking taylor expansion of PI in a 43.682 * [backup-simplify]: Simplify PI into PI 43.682 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 43.682 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.682 * [taylor]: Taking taylor expansion of a in a 43.682 * [backup-simplify]: Simplify 0 into 0 43.682 * [backup-simplify]: Simplify 1 into 1 43.682 * [backup-simplify]: Simplify (/ 1 1) into 1 43.682 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.682 * [taylor]: Taking taylor expansion of b in a 43.682 * [backup-simplify]: Simplify b into b 43.682 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.683 * [backup-simplify]: Simplify (+ 1 0) into 1 43.683 * [backup-simplify]: Simplify (/ PI 1) into PI 43.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 43.683 * [taylor]: Taking taylor expansion of 1/2 in a 43.683 * [backup-simplify]: Simplify 1/2 into 1/2 43.683 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 43.683 * [taylor]: Taking taylor expansion of PI in a 43.683 * [backup-simplify]: Simplify PI into PI 43.683 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 43.684 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.684 * [taylor]: Taking taylor expansion of a in a 43.684 * [backup-simplify]: Simplify 0 into 0 43.684 * [backup-simplify]: Simplify 1 into 1 43.684 * [backup-simplify]: Simplify (/ 1 1) into 1 43.684 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.684 * [taylor]: Taking taylor expansion of b in a 43.684 * [backup-simplify]: Simplify b into b 43.684 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.685 * [backup-simplify]: Simplify (+ 1 0) into 1 43.685 * [backup-simplify]: Simplify (/ PI 1) into PI 43.686 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 43.686 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 43.686 * [taylor]: Taking taylor expansion of 1/2 in b 43.686 * [backup-simplify]: Simplify 1/2 into 1/2 43.686 * [taylor]: Taking taylor expansion of PI in b 43.686 * [backup-simplify]: Simplify PI into PI 43.687 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 43.687 * [backup-simplify]: Simplify 0 into 0 43.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 43.688 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 43.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 43.689 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 43.689 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 43.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 43.689 * [taylor]: Taking taylor expansion of 1/2 in b 43.689 * [backup-simplify]: Simplify 1/2 into 1/2 43.689 * [taylor]: Taking taylor expansion of (/ PI b) in b 43.689 * [taylor]: Taking taylor expansion of PI in b 43.689 * [backup-simplify]: Simplify PI into PI 43.689 * [taylor]: Taking taylor expansion of b in b 43.689 * [backup-simplify]: Simplify 0 into 0 43.689 * [backup-simplify]: Simplify 1 into 1 43.690 * [backup-simplify]: Simplify (/ PI 1) into PI 43.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 43.693 * [backup-simplify]: Simplify (- 0) into 0 43.693 * [backup-simplify]: Simplify 0 into 0 43.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 43.694 * [backup-simplify]: Simplify 0 into 0 43.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 43.696 * [backup-simplify]: Simplify (+ 0 0) into 0 43.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 43.698 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 43.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 43.698 * [taylor]: Taking taylor expansion of 1/2 in b 43.698 * [backup-simplify]: Simplify 1/2 into 1/2 43.698 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 43.698 * [taylor]: Taking taylor expansion of PI in b 43.698 * [backup-simplify]: Simplify PI into PI 43.698 * [taylor]: Taking taylor expansion of (pow b 2) in b 43.698 * [taylor]: Taking taylor expansion of b in b 43.698 * [backup-simplify]: Simplify 0 into 0 43.698 * [backup-simplify]: Simplify 1 into 1 43.699 * [backup-simplify]: Simplify (* 1 1) into 1 43.699 * [backup-simplify]: Simplify (/ PI 1) into PI 43.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.705 * [backup-simplify]: Simplify 0 into 0 43.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.707 * [backup-simplify]: Simplify (- 0) into 0 43.707 * [backup-simplify]: Simplify 0 into 0 43.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.707 * [backup-simplify]: Simplify 0 into 0 43.707 * [backup-simplify]: Simplify 0 into 0 43.708 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 43.708 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 43.708 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 43.708 * [taylor]: Taking taylor expansion of -1/2 in b 43.708 * [backup-simplify]: Simplify -1/2 into -1/2 43.708 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 43.708 * [taylor]: Taking taylor expansion of PI in b 43.708 * [backup-simplify]: Simplify PI into PI 43.708 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 43.708 * [taylor]: Taking taylor expansion of (/ 1 a) in b 43.708 * [taylor]: Taking taylor expansion of a in b 43.708 * [backup-simplify]: Simplify a into a 43.708 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 43.708 * [taylor]: Taking taylor expansion of (/ 1 b) in b 43.708 * [taylor]: Taking taylor expansion of b in b 43.708 * [backup-simplify]: Simplify 0 into 0 43.708 * [backup-simplify]: Simplify 1 into 1 43.708 * [backup-simplify]: Simplify (/ 1 1) into 1 43.709 * [backup-simplify]: Simplify (+ 0 1) into 1 43.709 * [backup-simplify]: Simplify (/ PI 1) into PI 43.709 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 43.709 * [taylor]: Taking taylor expansion of -1/2 in a 43.709 * [backup-simplify]: Simplify -1/2 into -1/2 43.709 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 43.709 * [taylor]: Taking taylor expansion of PI in a 43.709 * [backup-simplify]: Simplify PI into PI 43.709 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 43.709 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.709 * [taylor]: Taking taylor expansion of a in a 43.709 * [backup-simplify]: Simplify 0 into 0 43.709 * [backup-simplify]: Simplify 1 into 1 43.709 * [backup-simplify]: Simplify (/ 1 1) into 1 43.709 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.710 * [taylor]: Taking taylor expansion of b in a 43.710 * [backup-simplify]: Simplify b into b 43.710 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.710 * [backup-simplify]: Simplify (+ 1 0) into 1 43.710 * [backup-simplify]: Simplify (/ PI 1) into PI 43.710 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 43.710 * [taylor]: Taking taylor expansion of -1/2 in a 43.710 * [backup-simplify]: Simplify -1/2 into -1/2 43.710 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 43.710 * [taylor]: Taking taylor expansion of PI in a 43.710 * [backup-simplify]: Simplify PI into PI 43.710 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 43.710 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.710 * [taylor]: Taking taylor expansion of a in a 43.710 * [backup-simplify]: Simplify 0 into 0 43.710 * [backup-simplify]: Simplify 1 into 1 43.711 * [backup-simplify]: Simplify (/ 1 1) into 1 43.711 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.711 * [taylor]: Taking taylor expansion of b in a 43.711 * [backup-simplify]: Simplify b into b 43.711 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.711 * [backup-simplify]: Simplify (+ 1 0) into 1 43.711 * [backup-simplify]: Simplify (/ PI 1) into PI 43.712 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 43.712 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 43.712 * [taylor]: Taking taylor expansion of -1/2 in b 43.712 * [backup-simplify]: Simplify -1/2 into -1/2 43.712 * [taylor]: Taking taylor expansion of PI in b 43.712 * [backup-simplify]: Simplify PI into PI 43.712 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 43.712 * [backup-simplify]: Simplify 0 into 0 43.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 43.713 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 43.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 43.714 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 43.714 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 43.714 * [taylor]: Taking taylor expansion of 1/2 in b 43.714 * [backup-simplify]: Simplify 1/2 into 1/2 43.714 * [taylor]: Taking taylor expansion of (/ PI b) in b 43.714 * [taylor]: Taking taylor expansion of PI in b 43.714 * [backup-simplify]: Simplify PI into PI 43.714 * [taylor]: Taking taylor expansion of b in b 43.714 * [backup-simplify]: Simplify 0 into 0 43.714 * [backup-simplify]: Simplify 1 into 1 43.714 * [backup-simplify]: Simplify (/ PI 1) into PI 43.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 43.716 * [backup-simplify]: Simplify 0 into 0 43.723 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 43.723 * [backup-simplify]: Simplify 0 into 0 43.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 43.724 * [backup-simplify]: Simplify (+ 0 0) into 0 43.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 43.726 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 43.726 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 43.726 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 43.726 * [taylor]: Taking taylor expansion of 1/2 in b 43.726 * [backup-simplify]: Simplify 1/2 into 1/2 43.726 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 43.726 * [taylor]: Taking taylor expansion of PI in b 43.726 * [backup-simplify]: Simplify PI into PI 43.726 * [taylor]: Taking taylor expansion of (pow b 2) in b 43.726 * [taylor]: Taking taylor expansion of b in b 43.726 * [backup-simplify]: Simplify 0 into 0 43.726 * [backup-simplify]: Simplify 1 into 1 43.726 * [backup-simplify]: Simplify (* 1 1) into 1 43.727 * [backup-simplify]: Simplify (/ PI 1) into PI 43.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.732 * [backup-simplify]: Simplify (- 0) into 0 43.732 * [backup-simplify]: Simplify 0 into 0 43.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.734 * [backup-simplify]: Simplify 0 into 0 43.735 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.735 * [backup-simplify]: Simplify 0 into 0 43.735 * [backup-simplify]: Simplify 0 into 0 43.735 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 43.736 * [backup-simplify]: Simplify (/ (/ PI 2) (+ a b)) into (* 1/2 (/ PI (+ a b))) 43.736 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 43.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 43.736 * [taylor]: Taking taylor expansion of 1/2 in b 43.736 * [backup-simplify]: Simplify 1/2 into 1/2 43.736 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 43.736 * [taylor]: Taking taylor expansion of PI in b 43.736 * [backup-simplify]: Simplify PI into PI 43.736 * [taylor]: Taking taylor expansion of (+ a b) in b 43.736 * [taylor]: Taking taylor expansion of a in b 43.736 * [backup-simplify]: Simplify a into a 43.736 * [taylor]: Taking taylor expansion of b in b 43.736 * [backup-simplify]: Simplify 0 into 0 43.736 * [backup-simplify]: Simplify 1 into 1 43.736 * [backup-simplify]: Simplify (+ a 0) into a 43.736 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 43.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 43.736 * [taylor]: Taking taylor expansion of 1/2 in a 43.737 * [backup-simplify]: Simplify 1/2 into 1/2 43.737 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 43.737 * [taylor]: Taking taylor expansion of PI in a 43.737 * [backup-simplify]: Simplify PI into PI 43.737 * [taylor]: Taking taylor expansion of (+ a b) in a 43.737 * [taylor]: Taking taylor expansion of a in a 43.737 * [backup-simplify]: Simplify 0 into 0 43.737 * [backup-simplify]: Simplify 1 into 1 43.737 * [taylor]: Taking taylor expansion of b in a 43.737 * [backup-simplify]: Simplify b into b 43.737 * [backup-simplify]: Simplify (+ 0 b) into b 43.737 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 43.737 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 43.737 * [taylor]: Taking taylor expansion of 1/2 in a 43.737 * [backup-simplify]: Simplify 1/2 into 1/2 43.737 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 43.737 * [taylor]: Taking taylor expansion of PI in a 43.737 * [backup-simplify]: Simplify PI into PI 43.737 * [taylor]: Taking taylor expansion of (+ a b) in a 43.737 * [taylor]: Taking taylor expansion of a in a 43.737 * [backup-simplify]: Simplify 0 into 0 43.737 * [backup-simplify]: Simplify 1 into 1 43.737 * [taylor]: Taking taylor expansion of b in a 43.737 * [backup-simplify]: Simplify b into b 43.737 * [backup-simplify]: Simplify (+ 0 b) into b 43.737 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 43.737 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 43.737 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 43.737 * [taylor]: Taking taylor expansion of 1/2 in b 43.737 * [backup-simplify]: Simplify 1/2 into 1/2 43.737 * [taylor]: Taking taylor expansion of (/ PI b) in b 43.737 * [taylor]: Taking taylor expansion of PI in b 43.737 * [backup-simplify]: Simplify PI into PI 43.737 * [taylor]: Taking taylor expansion of b in b 43.737 * [backup-simplify]: Simplify 0 into 0 43.738 * [backup-simplify]: Simplify 1 into 1 43.738 * [backup-simplify]: Simplify (/ PI 1) into PI 43.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 43.740 * [backup-simplify]: Simplify 0 into 0 43.740 * [backup-simplify]: Simplify (+ 1 0) into 1 43.740 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 43.741 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 43.741 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 43.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 43.741 * [taylor]: Taking taylor expansion of 1/2 in b 43.741 * [backup-simplify]: Simplify 1/2 into 1/2 43.741 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 43.741 * [taylor]: Taking taylor expansion of PI in b 43.741 * [backup-simplify]: Simplify PI into PI 43.741 * [taylor]: Taking taylor expansion of (pow b 2) in b 43.741 * [taylor]: Taking taylor expansion of b in b 43.741 * [backup-simplify]: Simplify 0 into 0 43.741 * [backup-simplify]: Simplify 1 into 1 43.741 * [backup-simplify]: Simplify (* 1 1) into 1 43.742 * [backup-simplify]: Simplify (/ PI 1) into PI 43.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 43.746 * [backup-simplify]: Simplify (- 0) into 0 43.746 * [backup-simplify]: Simplify 0 into 0 43.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 43.748 * [backup-simplify]: Simplify 0 into 0 43.749 * [backup-simplify]: Simplify (+ 0 0) into 0 43.749 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 43.749 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 43.749 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 43.749 * [taylor]: Taking taylor expansion of 1/2 in b 43.749 * [backup-simplify]: Simplify 1/2 into 1/2 43.749 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 43.749 * [taylor]: Taking taylor expansion of PI in b 43.749 * [backup-simplify]: Simplify PI into PI 43.749 * [taylor]: Taking taylor expansion of (pow b 3) in b 43.749 * [taylor]: Taking taylor expansion of b in b 43.749 * [backup-simplify]: Simplify 0 into 0 43.749 * [backup-simplify]: Simplify 1 into 1 43.750 * [backup-simplify]: Simplify (* 1 1) into 1 43.750 * [backup-simplify]: Simplify (* 1 1) into 1 43.751 * [backup-simplify]: Simplify (/ PI 1) into PI 43.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.762 * [backup-simplify]: Simplify 0 into 0 43.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.766 * [backup-simplify]: Simplify (- 0) into 0 43.766 * [backup-simplify]: Simplify 0 into 0 43.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.769 * [backup-simplify]: Simplify 0 into 0 43.769 * [backup-simplify]: Simplify 0 into 0 43.769 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 43.769 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 43.770 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 43.770 * [taylor]: Taking taylor expansion of 1/2 in b 43.770 * [backup-simplify]: Simplify 1/2 into 1/2 43.770 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 43.770 * [taylor]: Taking taylor expansion of PI in b 43.770 * [backup-simplify]: Simplify PI into PI 43.770 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 43.770 * [taylor]: Taking taylor expansion of (/ 1 a) in b 43.770 * [taylor]: Taking taylor expansion of a in b 43.770 * [backup-simplify]: Simplify a into a 43.770 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 43.770 * [taylor]: Taking taylor expansion of (/ 1 b) in b 43.770 * [taylor]: Taking taylor expansion of b in b 43.770 * [backup-simplify]: Simplify 0 into 0 43.770 * [backup-simplify]: Simplify 1 into 1 43.770 * [backup-simplify]: Simplify (/ 1 1) into 1 43.771 * [backup-simplify]: Simplify (+ 0 1) into 1 43.771 * [backup-simplify]: Simplify (/ PI 1) into PI 43.771 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 43.771 * [taylor]: Taking taylor expansion of 1/2 in a 43.771 * [backup-simplify]: Simplify 1/2 into 1/2 43.772 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 43.772 * [taylor]: Taking taylor expansion of PI in a 43.772 * [backup-simplify]: Simplify PI into PI 43.772 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 43.772 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.772 * [taylor]: Taking taylor expansion of a in a 43.772 * [backup-simplify]: Simplify 0 into 0 43.772 * [backup-simplify]: Simplify 1 into 1 43.772 * [backup-simplify]: Simplify (/ 1 1) into 1 43.772 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.772 * [taylor]: Taking taylor expansion of b in a 43.772 * [backup-simplify]: Simplify b into b 43.772 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.773 * [backup-simplify]: Simplify (+ 1 0) into 1 43.773 * [backup-simplify]: Simplify (/ PI 1) into PI 43.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 43.773 * [taylor]: Taking taylor expansion of 1/2 in a 43.773 * [backup-simplify]: Simplify 1/2 into 1/2 43.773 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 43.773 * [taylor]: Taking taylor expansion of PI in a 43.773 * [backup-simplify]: Simplify PI into PI 43.773 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 43.773 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.774 * [taylor]: Taking taylor expansion of a in a 43.774 * [backup-simplify]: Simplify 0 into 0 43.774 * [backup-simplify]: Simplify 1 into 1 43.774 * [backup-simplify]: Simplify (/ 1 1) into 1 43.774 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.774 * [taylor]: Taking taylor expansion of b in a 43.774 * [backup-simplify]: Simplify b into b 43.774 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.775 * [backup-simplify]: Simplify (+ 1 0) into 1 43.775 * [backup-simplify]: Simplify (/ PI 1) into PI 43.776 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 43.776 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 43.776 * [taylor]: Taking taylor expansion of 1/2 in b 43.776 * [backup-simplify]: Simplify 1/2 into 1/2 43.776 * [taylor]: Taking taylor expansion of PI in b 43.776 * [backup-simplify]: Simplify PI into PI 43.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 43.777 * [backup-simplify]: Simplify 0 into 0 43.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 43.778 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 43.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 43.779 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 43.779 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 43.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 43.779 * [taylor]: Taking taylor expansion of 1/2 in b 43.779 * [backup-simplify]: Simplify 1/2 into 1/2 43.779 * [taylor]: Taking taylor expansion of (/ PI b) in b 43.779 * [taylor]: Taking taylor expansion of PI in b 43.779 * [backup-simplify]: Simplify PI into PI 43.779 * [taylor]: Taking taylor expansion of b in b 43.779 * [backup-simplify]: Simplify 0 into 0 43.779 * [backup-simplify]: Simplify 1 into 1 43.780 * [backup-simplify]: Simplify (/ PI 1) into PI 43.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 43.784 * [backup-simplify]: Simplify (- 0) into 0 43.784 * [backup-simplify]: Simplify 0 into 0 43.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 43.785 * [backup-simplify]: Simplify 0 into 0 43.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 43.787 * [backup-simplify]: Simplify (+ 0 0) into 0 43.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 43.789 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 43.789 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 43.789 * [taylor]: Taking taylor expansion of 1/2 in b 43.789 * [backup-simplify]: Simplify 1/2 into 1/2 43.790 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 43.790 * [taylor]: Taking taylor expansion of PI in b 43.790 * [backup-simplify]: Simplify PI into PI 43.790 * [taylor]: Taking taylor expansion of (pow b 2) in b 43.790 * [taylor]: Taking taylor expansion of b in b 43.790 * [backup-simplify]: Simplify 0 into 0 43.790 * [backup-simplify]: Simplify 1 into 1 43.790 * [backup-simplify]: Simplify (* 1 1) into 1 43.791 * [backup-simplify]: Simplify (/ PI 1) into PI 43.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.798 * [backup-simplify]: Simplify 0 into 0 43.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.801 * [backup-simplify]: Simplify (- 0) into 0 43.801 * [backup-simplify]: Simplify 0 into 0 43.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.803 * [backup-simplify]: Simplify 0 into 0 43.803 * [backup-simplify]: Simplify 0 into 0 43.803 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 43.803 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 43.803 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 43.803 * [taylor]: Taking taylor expansion of -1/2 in b 43.804 * [backup-simplify]: Simplify -1/2 into -1/2 43.804 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 43.804 * [taylor]: Taking taylor expansion of PI in b 43.804 * [backup-simplify]: Simplify PI into PI 43.804 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 43.804 * [taylor]: Taking taylor expansion of (/ 1 a) in b 43.804 * [taylor]: Taking taylor expansion of a in b 43.804 * [backup-simplify]: Simplify a into a 43.804 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 43.804 * [taylor]: Taking taylor expansion of (/ 1 b) in b 43.804 * [taylor]: Taking taylor expansion of b in b 43.804 * [backup-simplify]: Simplify 0 into 0 43.804 * [backup-simplify]: Simplify 1 into 1 43.804 * [backup-simplify]: Simplify (/ 1 1) into 1 43.805 * [backup-simplify]: Simplify (+ 0 1) into 1 43.805 * [backup-simplify]: Simplify (/ PI 1) into PI 43.805 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 43.805 * [taylor]: Taking taylor expansion of -1/2 in a 43.805 * [backup-simplify]: Simplify -1/2 into -1/2 43.805 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 43.805 * [taylor]: Taking taylor expansion of PI in a 43.805 * [backup-simplify]: Simplify PI into PI 43.806 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 43.806 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.806 * [taylor]: Taking taylor expansion of a in a 43.806 * [backup-simplify]: Simplify 0 into 0 43.806 * [backup-simplify]: Simplify 1 into 1 43.806 * [backup-simplify]: Simplify (/ 1 1) into 1 43.806 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.806 * [taylor]: Taking taylor expansion of b in a 43.806 * [backup-simplify]: Simplify b into b 43.806 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.807 * [backup-simplify]: Simplify (+ 1 0) into 1 43.807 * [backup-simplify]: Simplify (/ PI 1) into PI 43.807 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 43.807 * [taylor]: Taking taylor expansion of -1/2 in a 43.807 * [backup-simplify]: Simplify -1/2 into -1/2 43.807 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 43.807 * [taylor]: Taking taylor expansion of PI in a 43.807 * [backup-simplify]: Simplify PI into PI 43.807 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 43.807 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.807 * [taylor]: Taking taylor expansion of a in a 43.807 * [backup-simplify]: Simplify 0 into 0 43.808 * [backup-simplify]: Simplify 1 into 1 43.808 * [backup-simplify]: Simplify (/ 1 1) into 1 43.808 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.808 * [taylor]: Taking taylor expansion of b in a 43.808 * [backup-simplify]: Simplify b into b 43.808 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.809 * [backup-simplify]: Simplify (+ 1 0) into 1 43.810 * [backup-simplify]: Simplify (/ PI 1) into PI 43.810 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 43.810 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 43.811 * [taylor]: Taking taylor expansion of -1/2 in b 43.811 * [backup-simplify]: Simplify -1/2 into -1/2 43.811 * [taylor]: Taking taylor expansion of PI in b 43.811 * [backup-simplify]: Simplify PI into PI 43.812 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 43.812 * [backup-simplify]: Simplify 0 into 0 43.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 43.813 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 43.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 43.814 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 43.814 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 43.814 * [taylor]: Taking taylor expansion of 1/2 in b 43.814 * [backup-simplify]: Simplify 1/2 into 1/2 43.814 * [taylor]: Taking taylor expansion of (/ PI b) in b 43.814 * [taylor]: Taking taylor expansion of PI in b 43.814 * [backup-simplify]: Simplify PI into PI 43.814 * [taylor]: Taking taylor expansion of b in b 43.814 * [backup-simplify]: Simplify 0 into 0 43.814 * [backup-simplify]: Simplify 1 into 1 43.815 * [backup-simplify]: Simplify (/ PI 1) into PI 43.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 43.818 * [backup-simplify]: Simplify 0 into 0 43.819 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 43.819 * [backup-simplify]: Simplify 0 into 0 43.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 43.821 * [backup-simplify]: Simplify (+ 0 0) into 0 43.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 43.823 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 43.823 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 43.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 43.823 * [taylor]: Taking taylor expansion of 1/2 in b 43.823 * [backup-simplify]: Simplify 1/2 into 1/2 43.823 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 43.823 * [taylor]: Taking taylor expansion of PI in b 43.823 * [backup-simplify]: Simplify PI into PI 43.823 * [taylor]: Taking taylor expansion of (pow b 2) in b 43.823 * [taylor]: Taking taylor expansion of b in b 43.823 * [backup-simplify]: Simplify 0 into 0 43.823 * [backup-simplify]: Simplify 1 into 1 43.824 * [backup-simplify]: Simplify (* 1 1) into 1 43.824 * [backup-simplify]: Simplify (/ PI 1) into PI 43.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.832 * [backup-simplify]: Simplify (- 0) into 0 43.832 * [backup-simplify]: Simplify 0 into 0 43.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.834 * [backup-simplify]: Simplify 0 into 0 43.836 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.836 * [backup-simplify]: Simplify 0 into 0 43.836 * [backup-simplify]: Simplify 0 into 0 43.836 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 43.837 * [backup-simplify]: Simplify (/ (/ (/ PI 2) (+ a b)) (* b (- b a))) into (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) 43.837 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in (a b) around 0 43.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in b 43.837 * [taylor]: Taking taylor expansion of 1/2 in b 43.837 * [backup-simplify]: Simplify 1/2 into 1/2 43.837 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in b 43.837 * [taylor]: Taking taylor expansion of PI in b 43.837 * [backup-simplify]: Simplify PI into PI 43.837 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in b 43.837 * [taylor]: Taking taylor expansion of b in b 43.837 * [backup-simplify]: Simplify 0 into 0 43.837 * [backup-simplify]: Simplify 1 into 1 43.837 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 43.837 * [taylor]: Taking taylor expansion of (+ a b) in b 43.837 * [taylor]: Taking taylor expansion of a in b 43.837 * [backup-simplify]: Simplify a into a 43.837 * [taylor]: Taking taylor expansion of b in b 43.837 * [backup-simplify]: Simplify 0 into 0 43.837 * [backup-simplify]: Simplify 1 into 1 43.837 * [taylor]: Taking taylor expansion of (- b a) in b 43.837 * [taylor]: Taking taylor expansion of b in b 43.837 * [backup-simplify]: Simplify 0 into 0 43.837 * [backup-simplify]: Simplify 1 into 1 43.837 * [taylor]: Taking taylor expansion of a in b 43.837 * [backup-simplify]: Simplify a into a 43.837 * [backup-simplify]: Simplify (+ a 0) into a 43.837 * [backup-simplify]: Simplify (- a) into (- a) 43.837 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 43.838 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 43.838 * [backup-simplify]: Simplify (* 0 (* -1 (pow a 2))) into 0 43.838 * [backup-simplify]: Simplify (- 0) into 0 43.838 * [backup-simplify]: Simplify (+ 1 0) into 1 43.839 * [backup-simplify]: Simplify (+ 0 1) into 1 43.839 * [backup-simplify]: Simplify (+ (* a 1) (* 1 (- a))) into 0 43.840 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* -1 (pow a 2)))) into (- (pow a 2)) 43.840 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 43.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in a 43.840 * [taylor]: Taking taylor expansion of 1/2 in a 43.840 * [backup-simplify]: Simplify 1/2 into 1/2 43.840 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in a 43.840 * [taylor]: Taking taylor expansion of PI in a 43.840 * [backup-simplify]: Simplify PI into PI 43.840 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in a 43.840 * [taylor]: Taking taylor expansion of b in a 43.840 * [backup-simplify]: Simplify b into b 43.840 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 43.840 * [taylor]: Taking taylor expansion of (+ a b) in a 43.840 * [taylor]: Taking taylor expansion of a in a 43.840 * [backup-simplify]: Simplify 0 into 0 43.840 * [backup-simplify]: Simplify 1 into 1 43.840 * [taylor]: Taking taylor expansion of b in a 43.840 * [backup-simplify]: Simplify b into b 43.840 * [taylor]: Taking taylor expansion of (- b a) in a 43.840 * [taylor]: Taking taylor expansion of b in a 43.840 * [backup-simplify]: Simplify b into b 43.840 * [taylor]: Taking taylor expansion of a in a 43.840 * [backup-simplify]: Simplify 0 into 0 43.840 * [backup-simplify]: Simplify 1 into 1 43.840 * [backup-simplify]: Simplify (+ 0 b) into b 43.841 * [backup-simplify]: Simplify (- 0) into 0 43.841 * [backup-simplify]: Simplify (+ b 0) into b 43.841 * [backup-simplify]: Simplify (* b b) into (pow b 2) 43.841 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 43.841 * [backup-simplify]: Simplify (/ PI (pow b 3)) into (/ PI (pow b 3)) 43.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in a 43.841 * [taylor]: Taking taylor expansion of 1/2 in a 43.841 * [backup-simplify]: Simplify 1/2 into 1/2 43.841 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in a 43.841 * [taylor]: Taking taylor expansion of PI in a 43.841 * [backup-simplify]: Simplify PI into PI 43.841 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in a 43.841 * [taylor]: Taking taylor expansion of b in a 43.841 * [backup-simplify]: Simplify b into b 43.841 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 43.841 * [taylor]: Taking taylor expansion of (+ a b) in a 43.841 * [taylor]: Taking taylor expansion of a in a 43.841 * [backup-simplify]: Simplify 0 into 0 43.842 * [backup-simplify]: Simplify 1 into 1 43.842 * [taylor]: Taking taylor expansion of b in a 43.842 * [backup-simplify]: Simplify b into b 43.842 * [taylor]: Taking taylor expansion of (- b a) in a 43.842 * [taylor]: Taking taylor expansion of b in a 43.842 * [backup-simplify]: Simplify b into b 43.842 * [taylor]: Taking taylor expansion of a in a 43.842 * [backup-simplify]: Simplify 0 into 0 43.842 * [backup-simplify]: Simplify 1 into 1 43.842 * [backup-simplify]: Simplify (+ 0 b) into b 43.842 * [backup-simplify]: Simplify (- 0) into 0 43.842 * [backup-simplify]: Simplify (+ b 0) into b 43.842 * [backup-simplify]: Simplify (* b b) into (pow b 2) 43.842 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 43.842 * [backup-simplify]: Simplify (/ PI (pow b 3)) into (/ PI (pow b 3)) 43.843 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 3))) into (* 1/2 (/ PI (pow b 3))) 43.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 43.843 * [taylor]: Taking taylor expansion of 1/2 in b 43.843 * [backup-simplify]: Simplify 1/2 into 1/2 43.843 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 43.843 * [taylor]: Taking taylor expansion of PI in b 43.843 * [backup-simplify]: Simplify PI into PI 43.843 * [taylor]: Taking taylor expansion of (pow b 3) in b 43.843 * [taylor]: Taking taylor expansion of b in b 43.843 * [backup-simplify]: Simplify 0 into 0 43.843 * [backup-simplify]: Simplify 1 into 1 43.843 * [backup-simplify]: Simplify (* 1 1) into 1 43.844 * [backup-simplify]: Simplify (* 1 1) into 1 43.844 * [backup-simplify]: Simplify (/ PI 1) into PI 43.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 43.851 * [backup-simplify]: Simplify 0 into 0 43.851 * [backup-simplify]: Simplify (- 1) into -1 43.852 * [backup-simplify]: Simplify (+ 0 -1) into -1 43.852 * [backup-simplify]: Simplify (+ 1 0) into 1 43.852 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 43.852 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (pow b 2))) into 0 43.853 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ 0 (pow b 3))))) into 0 43.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI (pow b 3)))) into 0 43.853 * [taylor]: Taking taylor expansion of 0 in b 43.853 * [backup-simplify]: Simplify 0 into 0 43.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 43.858 * [backup-simplify]: Simplify 0 into 0 43.858 * [backup-simplify]: Simplify (- 0) into 0 43.859 * [backup-simplify]: Simplify (+ 0 0) into 0 43.859 * [backup-simplify]: Simplify (+ 0 0) into 0 43.860 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 43.861 * [backup-simplify]: Simplify (+ (* b (- 1)) (+ (* 0 0) (* 0 (pow b 2)))) into (- b) 43.861 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ (- b) (pow b 3))) (* 0 (/ 0 (pow b 3))))) into (/ PI (pow b 5)) 43.862 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 5))) (+ (* 0 0) (* 0 (/ PI (pow b 3))))) into (* 1/2 (/ PI (pow b 5))) 43.862 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 5))) in b 43.862 * [taylor]: Taking taylor expansion of 1/2 in b 43.862 * [backup-simplify]: Simplify 1/2 into 1/2 43.862 * [taylor]: Taking taylor expansion of (/ PI (pow b 5)) in b 43.862 * [taylor]: Taking taylor expansion of PI in b 43.862 * [backup-simplify]: Simplify PI into PI 43.862 * [taylor]: Taking taylor expansion of (pow b 5) in b 43.862 * [taylor]: Taking taylor expansion of b in b 43.862 * [backup-simplify]: Simplify 0 into 0 43.862 * [backup-simplify]: Simplify 1 into 1 43.862 * [backup-simplify]: Simplify (* 1 1) into 1 43.863 * [backup-simplify]: Simplify (* 1 1) into 1 43.863 * [backup-simplify]: Simplify (* 1 1) into 1 43.864 * [backup-simplify]: Simplify (/ PI 1) into PI 43.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 43.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 43.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 43.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 43.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 43.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 43.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 43.891 * [backup-simplify]: Simplify 0 into 0 43.891 * [backup-simplify]: Simplify 0 into 0 43.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 43.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 43.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 43.897 * [backup-simplify]: Simplify 0 into 0 43.897 * [backup-simplify]: Simplify (- 0) into 0 43.898 * [backup-simplify]: Simplify (+ 0 0) into 0 43.898 * [backup-simplify]: Simplify (+ 0 0) into 0 43.899 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 -1) (* 0 b)))) into 0 43.900 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 (- 1)) (+ (* 0 0) (* 0 (pow b 2))))) into 0 43.901 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ (- b) (pow b 3))) (* (/ PI (pow b 5)) (/ 0 (pow b 3))))) into 0 43.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ PI (pow b 5))) (+ (* 0 0) (* 0 (/ PI (pow b 3)))))) into 0 43.902 * [taylor]: Taking taylor expansion of 0 in b 43.902 * [backup-simplify]: Simplify 0 into 0 43.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 43.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 43.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 43.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 43.908 * [backup-simplify]: Simplify 0 into 0 43.909 * [backup-simplify]: Simplify 0 into 0 43.909 * [backup-simplify]: Simplify (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (* (/ 1 b) (- (/ 1 b) (/ 1 a)))) into (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 43.909 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 43.909 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 43.909 * [taylor]: Taking taylor expansion of 1/2 in b 43.909 * [backup-simplify]: Simplify 1/2 into 1/2 43.909 * [taylor]: Taking taylor expansion of (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 43.909 * [taylor]: Taking taylor expansion of (* PI b) in b 43.909 * [taylor]: Taking taylor expansion of PI in b 43.910 * [backup-simplify]: Simplify PI into PI 43.910 * [taylor]: Taking taylor expansion of b in b 43.910 * [backup-simplify]: Simplify 0 into 0 43.910 * [backup-simplify]: Simplify 1 into 1 43.910 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 43.910 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 43.910 * [taylor]: Taking taylor expansion of (/ 1 a) in b 43.910 * [taylor]: Taking taylor expansion of a in b 43.910 * [backup-simplify]: Simplify a into a 43.910 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 43.910 * [taylor]: Taking taylor expansion of (/ 1 b) in b 43.910 * [taylor]: Taking taylor expansion of b in b 43.910 * [backup-simplify]: Simplify 0 into 0 43.910 * [backup-simplify]: Simplify 1 into 1 43.910 * [backup-simplify]: Simplify (/ 1 1) into 1 43.910 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 43.910 * [taylor]: Taking taylor expansion of (/ 1 b) in b 43.910 * [taylor]: Taking taylor expansion of b in b 43.910 * [backup-simplify]: Simplify 0 into 0 43.910 * [backup-simplify]: Simplify 1 into 1 43.911 * [backup-simplify]: Simplify (/ 1 1) into 1 43.911 * [taylor]: Taking taylor expansion of (/ 1 a) in b 43.911 * [taylor]: Taking taylor expansion of a in b 43.911 * [backup-simplify]: Simplify a into a 43.911 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 43.911 * [backup-simplify]: Simplify (* PI 0) into 0 43.913 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 43.913 * [backup-simplify]: Simplify (+ 0 1) into 1 43.913 * [backup-simplify]: Simplify (+ 1 0) into 1 43.914 * [backup-simplify]: Simplify (* 1 1) into 1 43.914 * [backup-simplify]: Simplify (/ PI 1) into PI 43.914 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 43.914 * [taylor]: Taking taylor expansion of 1/2 in a 43.914 * [backup-simplify]: Simplify 1/2 into 1/2 43.914 * [taylor]: Taking taylor expansion of (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 43.914 * [taylor]: Taking taylor expansion of (* PI b) in a 43.914 * [taylor]: Taking taylor expansion of PI in a 43.914 * [backup-simplify]: Simplify PI into PI 43.914 * [taylor]: Taking taylor expansion of b in a 43.914 * [backup-simplify]: Simplify b into b 43.914 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 43.914 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 43.914 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.915 * [taylor]: Taking taylor expansion of a in a 43.915 * [backup-simplify]: Simplify 0 into 0 43.915 * [backup-simplify]: Simplify 1 into 1 43.915 * [backup-simplify]: Simplify (/ 1 1) into 1 43.915 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.915 * [taylor]: Taking taylor expansion of b in a 43.915 * [backup-simplify]: Simplify b into b 43.915 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.915 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 43.915 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.915 * [taylor]: Taking taylor expansion of b in a 43.915 * [backup-simplify]: Simplify b into b 43.915 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.915 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.915 * [taylor]: Taking taylor expansion of a in a 43.915 * [backup-simplify]: Simplify 0 into 0 43.915 * [backup-simplify]: Simplify 1 into 1 43.916 * [backup-simplify]: Simplify (/ 1 1) into 1 43.916 * [backup-simplify]: Simplify (* PI b) into (* b PI) 43.916 * [backup-simplify]: Simplify (+ 1 0) into 1 43.916 * [backup-simplify]: Simplify (- 1) into -1 43.917 * [backup-simplify]: Simplify (+ 0 -1) into -1 43.917 * [backup-simplify]: Simplify (* 1 -1) into -1 43.918 * [backup-simplify]: Simplify (/ (* b PI) -1) into (* -1 (* b PI)) 43.918 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 43.918 * [taylor]: Taking taylor expansion of 1/2 in a 43.918 * [backup-simplify]: Simplify 1/2 into 1/2 43.918 * [taylor]: Taking taylor expansion of (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 43.918 * [taylor]: Taking taylor expansion of (* PI b) in a 43.918 * [taylor]: Taking taylor expansion of PI in a 43.918 * [backup-simplify]: Simplify PI into PI 43.918 * [taylor]: Taking taylor expansion of b in a 43.918 * [backup-simplify]: Simplify b into b 43.918 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 43.918 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 43.918 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.918 * [taylor]: Taking taylor expansion of a in a 43.918 * [backup-simplify]: Simplify 0 into 0 43.918 * [backup-simplify]: Simplify 1 into 1 43.918 * [backup-simplify]: Simplify (/ 1 1) into 1 43.918 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.918 * [taylor]: Taking taylor expansion of b in a 43.918 * [backup-simplify]: Simplify b into b 43.918 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.918 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 43.918 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.919 * [taylor]: Taking taylor expansion of b in a 43.919 * [backup-simplify]: Simplify b into b 43.919 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.919 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.919 * [taylor]: Taking taylor expansion of a in a 43.919 * [backup-simplify]: Simplify 0 into 0 43.919 * [backup-simplify]: Simplify 1 into 1 43.919 * [backup-simplify]: Simplify (/ 1 1) into 1 43.919 * [backup-simplify]: Simplify (* PI b) into (* b PI) 43.919 * [backup-simplify]: Simplify (+ 1 0) into 1 43.920 * [backup-simplify]: Simplify (- 1) into -1 43.920 * [backup-simplify]: Simplify (+ 0 -1) into -1 43.921 * [backup-simplify]: Simplify (* 1 -1) into -1 43.921 * [backup-simplify]: Simplify (/ (* b PI) -1) into (* -1 (* b PI)) 43.921 * [backup-simplify]: Simplify (* 1/2 (* -1 (* b PI))) into (* -1/2 (* PI b)) 43.921 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 43.921 * [taylor]: Taking taylor expansion of -1/2 in b 43.921 * [backup-simplify]: Simplify -1/2 into -1/2 43.921 * [taylor]: Taking taylor expansion of (* PI b) in b 43.921 * [taylor]: Taking taylor expansion of PI in b 43.921 * [backup-simplify]: Simplify PI into PI 43.921 * [taylor]: Taking taylor expansion of b in b 43.921 * [backup-simplify]: Simplify 0 into 0 43.921 * [backup-simplify]: Simplify 1 into 1 43.922 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 43.923 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 43.924 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 43.925 * [backup-simplify]: Simplify (* PI 0) into 0 43.926 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 43.926 * [backup-simplify]: Simplify 0 into 0 43.926 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 43.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 43.927 * [backup-simplify]: Simplify (- 0) into 0 43.928 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 43.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 43.929 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 43.929 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 43.930 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (* b PI)) (/ 0 -1)))) into 0 43.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 (* b PI)))) into 0 43.930 * [taylor]: Taking taylor expansion of 0 in b 43.930 * [backup-simplify]: Simplify 0 into 0 43.931 * [backup-simplify]: Simplify 0 into 0 43.932 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 43.933 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 43.933 * [backup-simplify]: Simplify 0 into 0 43.934 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 43.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 43.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.936 * [backup-simplify]: Simplify (- 0) into 0 43.936 * [backup-simplify]: Simplify (+ 0 0) into 0 43.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 43.938 * [backup-simplify]: Simplify (+ 0 0) into 0 43.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 43.940 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI b)) 43.940 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (+ (* 0 0) (* 0 (* -1 (* b PI))))) into (- (* 1/2 (/ PI b))) 43.940 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 43.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 43.941 * [taylor]: Taking taylor expansion of 1/2 in b 43.941 * [backup-simplify]: Simplify 1/2 into 1/2 43.941 * [taylor]: Taking taylor expansion of (/ PI b) in b 43.941 * [taylor]: Taking taylor expansion of PI in b 43.941 * [backup-simplify]: Simplify PI into PI 43.941 * [taylor]: Taking taylor expansion of b in b 43.941 * [backup-simplify]: Simplify 0 into 0 43.941 * [backup-simplify]: Simplify 1 into 1 43.941 * [backup-simplify]: Simplify (/ PI 1) into PI 43.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 43.948 * [backup-simplify]: Simplify (- 0) into 0 43.948 * [backup-simplify]: Simplify 0 into 0 43.948 * [backup-simplify]: Simplify 0 into 0 43.950 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 43.952 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 43.952 * [backup-simplify]: Simplify 0 into 0 43.952 * [backup-simplify]: Simplify 0 into 0 43.953 * [backup-simplify]: Simplify (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (* (/ 1 (- b)) (- (/ 1 (- b)) (/ 1 (- a))))) into (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 43.953 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 43.953 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 43.953 * [taylor]: Taking taylor expansion of 1/2 in b 43.953 * [backup-simplify]: Simplify 1/2 into 1/2 43.953 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 43.953 * [taylor]: Taking taylor expansion of (* b PI) in b 43.953 * [taylor]: Taking taylor expansion of b in b 43.953 * [backup-simplify]: Simplify 0 into 0 43.953 * [backup-simplify]: Simplify 1 into 1 43.953 * [taylor]: Taking taylor expansion of PI in b 43.953 * [backup-simplify]: Simplify PI into PI 43.953 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 43.953 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 43.953 * [taylor]: Taking taylor expansion of (/ 1 a) in b 43.953 * [taylor]: Taking taylor expansion of a in b 43.953 * [backup-simplify]: Simplify a into a 43.953 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 43.953 * [taylor]: Taking taylor expansion of (/ 1 b) in b 43.953 * [taylor]: Taking taylor expansion of b in b 43.953 * [backup-simplify]: Simplify 0 into 0 43.953 * [backup-simplify]: Simplify 1 into 1 43.954 * [backup-simplify]: Simplify (/ 1 1) into 1 43.954 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 43.954 * [taylor]: Taking taylor expansion of (/ 1 a) in b 43.954 * [taylor]: Taking taylor expansion of a in b 43.954 * [backup-simplify]: Simplify a into a 43.954 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 43.954 * [taylor]: Taking taylor expansion of (/ 1 b) in b 43.954 * [taylor]: Taking taylor expansion of b in b 43.954 * [backup-simplify]: Simplify 0 into 0 43.954 * [backup-simplify]: Simplify 1 into 1 43.954 * [backup-simplify]: Simplify (/ 1 1) into 1 43.955 * [backup-simplify]: Simplify (* 0 PI) into 0 43.956 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 43.957 * [backup-simplify]: Simplify (+ 0 1) into 1 43.957 * [backup-simplify]: Simplify (- 1) into -1 43.958 * [backup-simplify]: Simplify (+ 0 -1) into -1 43.958 * [backup-simplify]: Simplify (* 1 -1) into -1 43.959 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 43.959 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 43.959 * [taylor]: Taking taylor expansion of 1/2 in a 43.959 * [backup-simplify]: Simplify 1/2 into 1/2 43.959 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 43.959 * [taylor]: Taking taylor expansion of (* b PI) in a 43.959 * [taylor]: Taking taylor expansion of b in a 43.959 * [backup-simplify]: Simplify b into b 43.959 * [taylor]: Taking taylor expansion of PI in a 43.959 * [backup-simplify]: Simplify PI into PI 43.959 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 43.959 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 43.959 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.959 * [taylor]: Taking taylor expansion of a in a 43.959 * [backup-simplify]: Simplify 0 into 0 43.959 * [backup-simplify]: Simplify 1 into 1 43.960 * [backup-simplify]: Simplify (/ 1 1) into 1 43.960 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.960 * [taylor]: Taking taylor expansion of b in a 43.960 * [backup-simplify]: Simplify b into b 43.960 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.960 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 43.960 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.960 * [taylor]: Taking taylor expansion of a in a 43.960 * [backup-simplify]: Simplify 0 into 0 43.960 * [backup-simplify]: Simplify 1 into 1 43.960 * [backup-simplify]: Simplify (/ 1 1) into 1 43.960 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.960 * [taylor]: Taking taylor expansion of b in a 43.960 * [backup-simplify]: Simplify b into b 43.960 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.960 * [backup-simplify]: Simplify (* b PI) into (* PI b) 43.961 * [backup-simplify]: Simplify (+ 1 0) into 1 43.961 * [backup-simplify]: Simplify (+ 1 0) into 1 43.962 * [backup-simplify]: Simplify (* 1 1) into 1 43.962 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 43.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 43.962 * [taylor]: Taking taylor expansion of 1/2 in a 43.962 * [backup-simplify]: Simplify 1/2 into 1/2 43.962 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 43.962 * [taylor]: Taking taylor expansion of (* b PI) in a 43.962 * [taylor]: Taking taylor expansion of b in a 43.962 * [backup-simplify]: Simplify b into b 43.962 * [taylor]: Taking taylor expansion of PI in a 43.962 * [backup-simplify]: Simplify PI into PI 43.962 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 43.962 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 43.962 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.962 * [taylor]: Taking taylor expansion of a in a 43.962 * [backup-simplify]: Simplify 0 into 0 43.962 * [backup-simplify]: Simplify 1 into 1 43.963 * [backup-simplify]: Simplify (/ 1 1) into 1 43.963 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.963 * [taylor]: Taking taylor expansion of b in a 43.963 * [backup-simplify]: Simplify b into b 43.963 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.963 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 43.963 * [taylor]: Taking taylor expansion of (/ 1 a) in a 43.963 * [taylor]: Taking taylor expansion of a in a 43.963 * [backup-simplify]: Simplify 0 into 0 43.963 * [backup-simplify]: Simplify 1 into 1 43.963 * [backup-simplify]: Simplify (/ 1 1) into 1 43.963 * [taylor]: Taking taylor expansion of (/ 1 b) in a 43.963 * [taylor]: Taking taylor expansion of b in a 43.963 * [backup-simplify]: Simplify b into b 43.964 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 43.964 * [backup-simplify]: Simplify (* b PI) into (* PI b) 43.964 * [backup-simplify]: Simplify (+ 1 0) into 1 43.965 * [backup-simplify]: Simplify (+ 1 0) into 1 43.965 * [backup-simplify]: Simplify (* 1 1) into 1 43.965 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 43.965 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 43.965 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 43.965 * [taylor]: Taking taylor expansion of 1/2 in b 43.965 * [backup-simplify]: Simplify 1/2 into 1/2 43.965 * [taylor]: Taking taylor expansion of (* PI b) in b 43.965 * [taylor]: Taking taylor expansion of PI in b 43.965 * [backup-simplify]: Simplify PI into PI 43.965 * [taylor]: Taking taylor expansion of b in b 43.965 * [backup-simplify]: Simplify 0 into 0 43.965 * [backup-simplify]: Simplify 1 into 1 43.967 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 43.968 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 43.970 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 43.970 * [backup-simplify]: Simplify (* PI 0) into 0 43.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 43.971 * [backup-simplify]: Simplify 0 into 0 43.971 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 43.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 43.972 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 43.972 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 43.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 43.972 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 43.972 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 43.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)))) into 0 43.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 43.973 * [taylor]: Taking taylor expansion of 0 in b 43.973 * [backup-simplify]: Simplify 0 into 0 43.973 * [backup-simplify]: Simplify 0 into 0 43.974 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 43.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 43.975 * [backup-simplify]: Simplify 0 into 0 43.975 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 43.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 43.976 * [backup-simplify]: Simplify (- 0) into 0 43.976 * [backup-simplify]: Simplify (+ 0 0) into 0 43.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 43.977 * [backup-simplify]: Simplify (+ 0 0) into 0 43.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 43.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI b) 43.979 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 0) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 43.979 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 43.979 * [taylor]: Taking taylor expansion of 1/2 in b 43.979 * [backup-simplify]: Simplify 1/2 into 1/2 43.979 * [taylor]: Taking taylor expansion of (/ PI b) in b 43.979 * [taylor]: Taking taylor expansion of PI in b 43.979 * [backup-simplify]: Simplify PI into PI 43.979 * [taylor]: Taking taylor expansion of b in b 43.979 * [backup-simplify]: Simplify 0 into 0 43.979 * [backup-simplify]: Simplify 1 into 1 43.979 * [backup-simplify]: Simplify (/ PI 1) into PI 43.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 43.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 43.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 43.983 * [backup-simplify]: Simplify 0 into 0 43.983 * [backup-simplify]: Simplify 0 into 0 43.984 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 43.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 43.984 * [backup-simplify]: Simplify 0 into 0 43.984 * [backup-simplify]: Simplify 0 into 0 43.985 * * * [progress]: simplifying candidates 43.985 * * * * [progress]: [ 1 / 1544 ] simplifiying candidate # 43.985 * * * * [progress]: [ 2 / 1544 ] simplifiying candidate # 43.985 * * * * [progress]: [ 3 / 1544 ] simplifiying candidate # 43.985 * * * * [progress]: [ 4 / 1544 ] simplifiying candidate # 43.985 * * * * [progress]: [ 5 / 1544 ] simplifiying candidate # 43.985 * * * * [progress]: [ 6 / 1544 ] simplifiying candidate # 43.985 * * * * [progress]: [ 7 / 1544 ] simplifiying candidate # 43.985 * * * * [progress]: [ 8 / 1544 ] simplifiying candidate # 43.985 * * * * [progress]: [ 9 / 1544 ] simplifiying candidate # 43.985 * * * * [progress]: [ 10 / 1544 ] simplifiying candidate # 43.985 * * * * [progress]: [ 11 / 1544 ] simplifiying candidate # 43.985 * * * * [progress]: [ 12 / 1544 ] simplifiying candidate # 43.985 * * * * [progress]: [ 13 / 1544 ] simplifiying candidate # 43.985 * * * * 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0 0 0 0 44.232 * * [simplify]: iteration 0: 1919 enodes 44.950 * * [simplify]: iteration 1: 2001 enodes 45.506 * * [simplify]: iteration complete: 2001 enodes 45.509 * * [simplify]: Extracting #0: cost 1402 inf + 0 45.516 * * [simplify]: Extracting #1: cost 1594 inf + 3 45.520 * * [simplify]: Extracting #2: cost 1614 inf + 903 45.527 * * [simplify]: Extracting #3: cost 1470 inf + 28363 45.564 * * [simplify]: Extracting #4: cost 786 inf + 264026 45.675 * * [simplify]: Extracting #5: cost 72 inf + 574273 45.790 * * [simplify]: Extracting #6: cost 2 inf + 609586 45.877 * * [simplify]: Extracting #7: cost 0 inf + 610794 45.973 * [simplify]: Simplified to: (expm1 (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)) (log1p (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)) (log (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)) (log (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)) (log (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)) (log (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)) (log (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)) (exp (/ (/ (/ (/ PI 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b))) (/ (* b (- b a)) (/ (sqrt (/ PI 2)) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (sqrt (/ PI 2)) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (sqrt (/ PI 2)) (+ a b))) (/ (* b (- b a)) (/ (sqrt (/ PI 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (cbrt PI) (cbrt 2)) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ (cbrt PI) (cbrt 2)) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ (cbrt PI) (cbrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (cbrt PI) (cbrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (cbrt PI) (sqrt 2)) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ (cbrt PI) (sqrt 2)) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ (cbrt PI) (sqrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (cbrt PI) (sqrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (cbrt PI) 2) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ (cbrt PI) 2) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ (cbrt PI) 2) (+ a b))) (/ (* b (- b a)) (/ (/ (cbrt PI) 2) (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) (cbrt 2)) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ (sqrt PI) (cbrt 2)) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ (sqrt PI) (cbrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) (cbrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) (sqrt 2)) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ (sqrt PI) (sqrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) (sqrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) 2) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ (sqrt PI) 2) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ (sqrt PI) 2) (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) 2) (+ a b))) (/ (* b (- b a)) (/ (/ PI (cbrt 2)) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI (cbrt 2)) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI (cbrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ PI (cbrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ PI (sqrt 2)) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI (sqrt 2)) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI (sqrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ PI (sqrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ PI 2) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI 2) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI 2) (+ a b))) (/ (* b (- b a)) (/ (/ PI 2) (+ a b))) (/ (* b (- b a)) (/ (/ PI 2) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI 2) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI 2) (+ a b))) (/ (* b (- b a)) (/ (/ PI 2) (+ a b))) (/ (* b (- b a)) (/ (/ 1 2) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ 1 2) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ 1 2) (+ a b))) (/ (* b (- b a)) (/ (/ 1 2) (+ a b))) (/ (* b (- b a)) (/ (/ PI 2) (+ a b))) (/ (* b (- b a)) (/ 1 (+ a b))) (/ (* b (- b a)) (fma a a (* b (- b a)))) (/ (* b (- b a)) (- a b)) (/ (/ (/ PI 2) (+ a b)) (* b (- (* b (* b b)) (* (* a a) a)))) (/ (/ (/ PI 2) (+ a b)) (* b (* (+ b a) (- b a)))) (* (* b (- b a)) (+ a b)) (real->posit16 (/ (/ (/ PI 2) (+ a b)) (* b (- b a)))) 0 0 0 0 0 0 0 0 0 0 0 0 46.370 * * * [progress]: adding candidates to table 66.292 * * [progress]: iteration 3 / 4 66.292 * * * [progress]: picking best candidate 66.336 * * * * [pick]: Picked # 66.336 * * * [progress]: localizing error 66.372 * * * [progress]: generating rewritten candidates 66.372 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 66.384 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 66.396 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 66.438 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 66.838 * * * [progress]: generating series expansions 66.839 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 66.839 * [backup-simplify]: Simplify (/ (/ PI 2) (+ a b)) into (* 1/2 (/ PI (+ a b))) 66.839 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 66.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 66.839 * [taylor]: Taking taylor expansion of 1/2 in b 66.839 * [backup-simplify]: Simplify 1/2 into 1/2 66.839 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 66.839 * [taylor]: Taking taylor expansion of PI in b 66.839 * [backup-simplify]: Simplify PI into PI 66.839 * [taylor]: Taking taylor expansion of (+ a b) in b 66.839 * [taylor]: Taking taylor expansion of a in b 66.839 * [backup-simplify]: Simplify a into a 66.840 * [taylor]: Taking taylor expansion of b in b 66.840 * [backup-simplify]: Simplify 0 into 0 66.840 * [backup-simplify]: Simplify 1 into 1 66.840 * [backup-simplify]: Simplify (+ a 0) into a 66.840 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 66.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 66.840 * [taylor]: Taking taylor expansion of 1/2 in a 66.840 * [backup-simplify]: Simplify 1/2 into 1/2 66.840 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 66.840 * [taylor]: Taking taylor expansion of PI in a 66.840 * [backup-simplify]: Simplify PI into PI 66.840 * [taylor]: Taking taylor expansion of (+ a b) in a 66.840 * [taylor]: Taking taylor expansion of a in a 66.840 * [backup-simplify]: Simplify 0 into 0 66.840 * [backup-simplify]: Simplify 1 into 1 66.840 * [taylor]: Taking taylor expansion of b in a 66.840 * [backup-simplify]: Simplify b into b 66.840 * [backup-simplify]: Simplify (+ 0 b) into b 66.840 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 66.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 66.840 * [taylor]: Taking taylor expansion of 1/2 in a 66.840 * [backup-simplify]: Simplify 1/2 into 1/2 66.840 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 66.840 * [taylor]: Taking taylor expansion of PI in a 66.840 * [backup-simplify]: Simplify PI into PI 66.840 * [taylor]: Taking taylor expansion of (+ a b) in a 66.840 * [taylor]: Taking taylor expansion of a in a 66.840 * [backup-simplify]: Simplify 0 into 0 66.840 * [backup-simplify]: Simplify 1 into 1 66.840 * [taylor]: Taking taylor expansion of b in a 66.840 * [backup-simplify]: Simplify b into b 66.840 * [backup-simplify]: Simplify (+ 0 b) into b 66.840 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 66.840 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 66.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 66.840 * [taylor]: Taking taylor expansion of 1/2 in b 66.840 * [backup-simplify]: Simplify 1/2 into 1/2 66.840 * [taylor]: Taking taylor expansion of (/ PI b) in b 66.840 * [taylor]: Taking taylor expansion of PI in b 66.840 * [backup-simplify]: Simplify PI into PI 66.840 * [taylor]: Taking taylor expansion of b in b 66.840 * [backup-simplify]: Simplify 0 into 0 66.840 * [backup-simplify]: Simplify 1 into 1 66.841 * [backup-simplify]: Simplify (/ PI 1) into PI 66.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 66.842 * [backup-simplify]: Simplify 0 into 0 66.842 * [backup-simplify]: Simplify (+ 1 0) into 1 66.842 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 66.842 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 66.842 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 66.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 66.842 * [taylor]: Taking taylor expansion of 1/2 in b 66.842 * [backup-simplify]: Simplify 1/2 into 1/2 66.842 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 66.842 * [taylor]: Taking taylor expansion of PI in b 66.843 * [backup-simplify]: Simplify PI into PI 66.843 * [taylor]: Taking taylor expansion of (pow b 2) in b 66.843 * [taylor]: Taking taylor expansion of b in b 66.843 * [backup-simplify]: Simplify 0 into 0 66.843 * [backup-simplify]: Simplify 1 into 1 66.843 * [backup-simplify]: Simplify (* 1 1) into 1 66.843 * [backup-simplify]: Simplify (/ PI 1) into PI 66.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 66.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 66.846 * [backup-simplify]: Simplify (- 0) into 0 66.846 * [backup-simplify]: Simplify 0 into 0 66.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 66.848 * [backup-simplify]: Simplify 0 into 0 66.849 * [backup-simplify]: Simplify (+ 0 0) into 0 66.849 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 66.849 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 66.849 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 66.849 * [taylor]: Taking taylor expansion of 1/2 in b 66.849 * [backup-simplify]: Simplify 1/2 into 1/2 66.849 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 66.849 * [taylor]: Taking taylor expansion of PI in b 66.849 * [backup-simplify]: Simplify PI into PI 66.849 * [taylor]: Taking taylor expansion of (pow b 3) in b 66.849 * [taylor]: Taking taylor expansion of b in b 66.849 * [backup-simplify]: Simplify 0 into 0 66.849 * [backup-simplify]: Simplify 1 into 1 66.850 * [backup-simplify]: Simplify (* 1 1) into 1 66.850 * [backup-simplify]: Simplify (* 1 1) into 1 66.850 * [backup-simplify]: Simplify (/ PI 1) into PI 66.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 66.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 66.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 66.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 66.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.856 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.856 * [backup-simplify]: Simplify 0 into 0 66.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 66.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.858 * [backup-simplify]: Simplify (- 0) into 0 66.858 * [backup-simplify]: Simplify 0 into 0 66.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.860 * [backup-simplify]: Simplify 0 into 0 66.860 * [backup-simplify]: Simplify 0 into 0 66.860 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 66.860 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 66.860 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 66.860 * [taylor]: Taking taylor expansion of 1/2 in b 66.860 * [backup-simplify]: Simplify 1/2 into 1/2 66.860 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 66.860 * [taylor]: Taking taylor expansion of PI in b 66.860 * [backup-simplify]: Simplify PI into PI 66.860 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 66.860 * [taylor]: Taking taylor expansion of (/ 1 a) in b 66.860 * [taylor]: Taking taylor expansion of a in b 66.860 * [backup-simplify]: Simplify a into a 66.860 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 66.860 * [taylor]: Taking taylor expansion of (/ 1 b) in b 66.860 * [taylor]: Taking taylor expansion of b in b 66.860 * [backup-simplify]: Simplify 0 into 0 66.860 * [backup-simplify]: Simplify 1 into 1 66.861 * [backup-simplify]: Simplify (/ 1 1) into 1 66.861 * [backup-simplify]: Simplify (+ 0 1) into 1 66.861 * [backup-simplify]: Simplify (/ PI 1) into PI 66.861 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 66.861 * [taylor]: Taking taylor expansion of 1/2 in a 66.861 * [backup-simplify]: Simplify 1/2 into 1/2 66.861 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 66.861 * [taylor]: Taking taylor expansion of PI in a 66.861 * [backup-simplify]: Simplify PI into PI 66.861 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 66.861 * [taylor]: Taking taylor expansion of (/ 1 a) in a 66.861 * [taylor]: Taking taylor expansion of a in a 66.861 * [backup-simplify]: Simplify 0 into 0 66.861 * [backup-simplify]: Simplify 1 into 1 66.862 * [backup-simplify]: Simplify (/ 1 1) into 1 66.862 * [taylor]: Taking taylor expansion of (/ 1 b) in a 66.862 * [taylor]: Taking taylor expansion of b in a 66.862 * [backup-simplify]: Simplify b into b 66.862 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 66.862 * [backup-simplify]: Simplify (+ 1 0) into 1 66.862 * [backup-simplify]: Simplify (/ PI 1) into PI 66.862 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 66.862 * [taylor]: Taking taylor expansion of 1/2 in a 66.862 * [backup-simplify]: Simplify 1/2 into 1/2 66.862 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 66.862 * [taylor]: Taking taylor expansion of PI in a 66.862 * [backup-simplify]: Simplify PI into PI 66.862 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 66.862 * [taylor]: Taking taylor expansion of (/ 1 a) in a 66.862 * [taylor]: Taking taylor expansion of a in a 66.862 * [backup-simplify]: Simplify 0 into 0 66.862 * [backup-simplify]: Simplify 1 into 1 66.863 * [backup-simplify]: Simplify (/ 1 1) into 1 66.863 * [taylor]: Taking taylor expansion of (/ 1 b) in a 66.863 * [taylor]: Taking taylor expansion of b in a 66.863 * [backup-simplify]: Simplify b into b 66.863 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 66.863 * [backup-simplify]: Simplify (+ 1 0) into 1 66.863 * [backup-simplify]: Simplify (/ PI 1) into PI 66.864 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 66.864 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 66.864 * [taylor]: Taking taylor expansion of 1/2 in b 66.864 * [backup-simplify]: Simplify 1/2 into 1/2 66.864 * [taylor]: Taking taylor expansion of PI in b 66.864 * [backup-simplify]: Simplify PI into PI 66.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 66.864 * [backup-simplify]: Simplify 0 into 0 66.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 66.865 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 66.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 66.866 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 66.866 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 66.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 66.866 * [taylor]: Taking taylor expansion of 1/2 in b 66.866 * [backup-simplify]: Simplify 1/2 into 1/2 66.866 * [taylor]: Taking taylor expansion of (/ PI b) in b 66.866 * [taylor]: Taking taylor expansion of PI in b 66.866 * [backup-simplify]: Simplify PI into PI 66.866 * [taylor]: Taking taylor expansion of b in b 66.866 * [backup-simplify]: Simplify 0 into 0 66.866 * [backup-simplify]: Simplify 1 into 1 66.866 * [backup-simplify]: Simplify (/ PI 1) into PI 66.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 66.868 * [backup-simplify]: Simplify (- 0) into 0 66.868 * [backup-simplify]: Simplify 0 into 0 66.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 66.869 * [backup-simplify]: Simplify 0 into 0 66.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 66.870 * [backup-simplify]: Simplify (+ 0 0) into 0 66.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 66.871 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 66.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 66.871 * [taylor]: Taking taylor expansion of 1/2 in b 66.871 * [backup-simplify]: Simplify 1/2 into 1/2 66.871 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 66.871 * [taylor]: Taking taylor expansion of PI in b 66.871 * [backup-simplify]: Simplify PI into PI 66.871 * [taylor]: Taking taylor expansion of (pow b 2) in b 66.871 * [taylor]: Taking taylor expansion of b in b 66.871 * [backup-simplify]: Simplify 0 into 0 66.871 * [backup-simplify]: Simplify 1 into 1 66.871 * [backup-simplify]: Simplify (* 1 1) into 1 66.871 * [backup-simplify]: Simplify (/ PI 1) into PI 66.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 66.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 66.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.876 * [backup-simplify]: Simplify 0 into 0 66.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.877 * [backup-simplify]: Simplify (- 0) into 0 66.877 * [backup-simplify]: Simplify 0 into 0 66.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.878 * [backup-simplify]: Simplify 0 into 0 66.878 * [backup-simplify]: Simplify 0 into 0 66.878 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 66.878 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 66.878 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 66.878 * [taylor]: Taking taylor expansion of -1/2 in b 66.878 * [backup-simplify]: Simplify -1/2 into -1/2 66.878 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 66.878 * [taylor]: Taking taylor expansion of PI in b 66.879 * [backup-simplify]: Simplify PI into PI 66.879 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 66.879 * [taylor]: Taking taylor expansion of (/ 1 a) in b 66.879 * [taylor]: Taking taylor expansion of a in b 66.879 * [backup-simplify]: Simplify a into a 66.879 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 66.879 * [taylor]: Taking taylor expansion of (/ 1 b) in b 66.879 * [taylor]: Taking taylor expansion of b in b 66.879 * [backup-simplify]: Simplify 0 into 0 66.879 * [backup-simplify]: Simplify 1 into 1 66.879 * [backup-simplify]: Simplify (/ 1 1) into 1 66.879 * [backup-simplify]: Simplify (+ 0 1) into 1 66.880 * [backup-simplify]: Simplify (/ PI 1) into PI 66.880 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 66.880 * [taylor]: Taking taylor expansion of -1/2 in a 66.880 * [backup-simplify]: Simplify -1/2 into -1/2 66.880 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 66.880 * [taylor]: Taking taylor expansion of PI in a 66.880 * [backup-simplify]: Simplify PI into PI 66.880 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 66.880 * [taylor]: Taking taylor expansion of (/ 1 a) in a 66.880 * [taylor]: Taking taylor expansion of a in a 66.880 * [backup-simplify]: Simplify 0 into 0 66.880 * [backup-simplify]: Simplify 1 into 1 66.880 * [backup-simplify]: Simplify (/ 1 1) into 1 66.880 * [taylor]: Taking taylor expansion of (/ 1 b) in a 66.880 * [taylor]: Taking taylor expansion of b in a 66.880 * [backup-simplify]: Simplify b into b 66.880 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 66.880 * [backup-simplify]: Simplify (+ 1 0) into 1 66.881 * [backup-simplify]: Simplify (/ PI 1) into PI 66.881 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 66.881 * [taylor]: Taking taylor expansion of -1/2 in a 66.881 * [backup-simplify]: Simplify -1/2 into -1/2 66.881 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 66.881 * [taylor]: Taking taylor expansion of PI in a 66.881 * [backup-simplify]: Simplify PI into PI 66.881 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 66.881 * [taylor]: Taking taylor expansion of (/ 1 a) in a 66.881 * [taylor]: Taking taylor expansion of a in a 66.881 * [backup-simplify]: Simplify 0 into 0 66.881 * [backup-simplify]: Simplify 1 into 1 66.881 * [backup-simplify]: Simplify (/ 1 1) into 1 66.881 * [taylor]: Taking taylor expansion of (/ 1 b) in a 66.881 * [taylor]: Taking taylor expansion of b in a 66.881 * [backup-simplify]: Simplify b into b 66.881 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 66.881 * [backup-simplify]: Simplify (+ 1 0) into 1 66.882 * [backup-simplify]: Simplify (/ PI 1) into PI 66.882 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 66.882 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 66.882 * [taylor]: Taking taylor expansion of -1/2 in b 66.882 * [backup-simplify]: Simplify -1/2 into -1/2 66.882 * [taylor]: Taking taylor expansion of PI in b 66.882 * [backup-simplify]: Simplify PI into PI 66.883 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 66.883 * [backup-simplify]: Simplify 0 into 0 66.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 66.883 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 66.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 66.884 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 66.884 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 66.884 * [taylor]: Taking taylor expansion of 1/2 in b 66.884 * [backup-simplify]: Simplify 1/2 into 1/2 66.884 * [taylor]: Taking taylor expansion of (/ PI b) in b 66.884 * [taylor]: Taking taylor expansion of PI in b 66.884 * [backup-simplify]: Simplify PI into PI 66.884 * [taylor]: Taking taylor expansion of b in b 66.884 * [backup-simplify]: Simplify 0 into 0 66.884 * [backup-simplify]: Simplify 1 into 1 66.884 * [backup-simplify]: Simplify (/ PI 1) into PI 66.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 66.886 * [backup-simplify]: Simplify 0 into 0 66.887 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 66.887 * [backup-simplify]: Simplify 0 into 0 66.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 66.889 * [backup-simplify]: Simplify (+ 0 0) into 0 66.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 66.891 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 66.891 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 66.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 66.891 * [taylor]: Taking taylor expansion of 1/2 in b 66.891 * [backup-simplify]: Simplify 1/2 into 1/2 66.891 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 66.891 * [taylor]: Taking taylor expansion of PI in b 66.891 * [backup-simplify]: Simplify PI into PI 66.892 * [taylor]: Taking taylor expansion of (pow b 2) in b 66.892 * [taylor]: Taking taylor expansion of b in b 66.892 * [backup-simplify]: Simplify 0 into 0 66.892 * [backup-simplify]: Simplify 1 into 1 66.892 * [backup-simplify]: Simplify (* 1 1) into 1 66.893 * [backup-simplify]: Simplify (/ PI 1) into PI 66.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 66.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 66.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.901 * [backup-simplify]: Simplify (- 0) into 0 66.901 * [backup-simplify]: Simplify 0 into 0 66.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.903 * [backup-simplify]: Simplify 0 into 0 66.906 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.906 * [backup-simplify]: Simplify 0 into 0 66.906 * [backup-simplify]: Simplify 0 into 0 66.906 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 66.907 * [backup-simplify]: Simplify (/ (/ PI 2) (+ a b)) into (* 1/2 (/ PI (+ a b))) 66.907 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 66.907 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 66.907 * [taylor]: Taking taylor expansion of 1/2 in b 66.907 * [backup-simplify]: Simplify 1/2 into 1/2 66.907 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 66.907 * [taylor]: Taking taylor expansion of PI in b 66.907 * [backup-simplify]: Simplify PI into PI 66.907 * [taylor]: Taking taylor expansion of (+ a b) in b 66.907 * [taylor]: Taking taylor expansion of a in b 66.907 * [backup-simplify]: Simplify a into a 66.907 * [taylor]: Taking taylor expansion of b in b 66.907 * [backup-simplify]: Simplify 0 into 0 66.907 * [backup-simplify]: Simplify 1 into 1 66.907 * [backup-simplify]: Simplify (+ a 0) into a 66.907 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 66.907 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 66.907 * [taylor]: Taking taylor expansion of 1/2 in a 66.907 * [backup-simplify]: Simplify 1/2 into 1/2 66.907 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 66.908 * [taylor]: Taking taylor expansion of PI in a 66.908 * [backup-simplify]: Simplify PI into PI 66.908 * [taylor]: Taking taylor expansion of (+ a b) in a 66.908 * [taylor]: Taking taylor expansion of a in a 66.908 * [backup-simplify]: Simplify 0 into 0 66.908 * [backup-simplify]: Simplify 1 into 1 66.908 * [taylor]: Taking taylor expansion of b in a 66.908 * [backup-simplify]: Simplify b into b 66.908 * [backup-simplify]: Simplify (+ 0 b) into b 66.908 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 66.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 66.908 * [taylor]: Taking taylor expansion of 1/2 in a 66.908 * [backup-simplify]: Simplify 1/2 into 1/2 66.908 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 66.908 * [taylor]: Taking taylor expansion of PI in a 66.908 * [backup-simplify]: Simplify PI into PI 66.908 * [taylor]: Taking taylor expansion of (+ a b) in a 66.908 * [taylor]: Taking taylor expansion of a in a 66.908 * [backup-simplify]: Simplify 0 into 0 66.908 * [backup-simplify]: Simplify 1 into 1 66.908 * [taylor]: Taking taylor expansion of b in a 66.908 * [backup-simplify]: Simplify b into b 66.908 * [backup-simplify]: Simplify (+ 0 b) into b 66.908 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 66.908 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 66.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 66.908 * [taylor]: Taking taylor expansion of 1/2 in b 66.909 * [backup-simplify]: Simplify 1/2 into 1/2 66.909 * [taylor]: Taking taylor expansion of (/ PI b) in b 66.909 * [taylor]: Taking taylor expansion of PI in b 66.909 * [backup-simplify]: Simplify PI into PI 66.909 * [taylor]: Taking taylor expansion of b in b 66.909 * [backup-simplify]: Simplify 0 into 0 66.909 * [backup-simplify]: Simplify 1 into 1 66.909 * [backup-simplify]: Simplify (/ PI 1) into PI 66.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 66.911 * [backup-simplify]: Simplify 0 into 0 66.912 * [backup-simplify]: Simplify (+ 1 0) into 1 66.912 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 66.912 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 66.912 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 66.912 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 66.912 * [taylor]: Taking taylor expansion of 1/2 in b 66.912 * [backup-simplify]: Simplify 1/2 into 1/2 66.912 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 66.912 * [taylor]: Taking taylor expansion of PI in b 66.912 * [backup-simplify]: Simplify PI into PI 66.912 * [taylor]: Taking taylor expansion of (pow b 2) in b 66.912 * [taylor]: Taking taylor expansion of b in b 66.912 * [backup-simplify]: Simplify 0 into 0 66.912 * [backup-simplify]: Simplify 1 into 1 66.913 * [backup-simplify]: Simplify (* 1 1) into 1 66.913 * [backup-simplify]: Simplify (/ PI 1) into PI 66.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 66.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 66.931 * [backup-simplify]: Simplify (- 0) into 0 66.931 * [backup-simplify]: Simplify 0 into 0 66.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 66.933 * [backup-simplify]: Simplify 0 into 0 66.934 * [backup-simplify]: Simplify (+ 0 0) into 0 66.934 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 66.934 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 66.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 66.934 * [taylor]: Taking taylor expansion of 1/2 in b 66.934 * [backup-simplify]: Simplify 1/2 into 1/2 66.934 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 66.934 * [taylor]: Taking taylor expansion of PI in b 66.934 * [backup-simplify]: Simplify PI into PI 66.934 * [taylor]: Taking taylor expansion of (pow b 3) in b 66.934 * [taylor]: Taking taylor expansion of b in b 66.934 * [backup-simplify]: Simplify 0 into 0 66.934 * [backup-simplify]: Simplify 1 into 1 66.935 * [backup-simplify]: Simplify (* 1 1) into 1 66.935 * [backup-simplify]: Simplify (* 1 1) into 1 66.935 * [backup-simplify]: Simplify (/ PI 1) into PI 66.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 66.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 66.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 66.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 66.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.941 * [backup-simplify]: Simplify 0 into 0 66.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 66.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.943 * [backup-simplify]: Simplify (- 0) into 0 66.943 * [backup-simplify]: Simplify 0 into 0 66.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.944 * [backup-simplify]: Simplify 0 into 0 66.944 * [backup-simplify]: Simplify 0 into 0 66.945 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 66.945 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 66.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 66.945 * [taylor]: Taking taylor expansion of 1/2 in b 66.945 * [backup-simplify]: Simplify 1/2 into 1/2 66.945 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 66.945 * [taylor]: Taking taylor expansion of PI in b 66.945 * [backup-simplify]: Simplify PI into PI 66.945 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 66.945 * [taylor]: Taking taylor expansion of (/ 1 a) in b 66.945 * [taylor]: Taking taylor expansion of a in b 66.945 * [backup-simplify]: Simplify a into a 66.945 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 66.945 * [taylor]: Taking taylor expansion of (/ 1 b) in b 66.945 * [taylor]: Taking taylor expansion of b in b 66.945 * [backup-simplify]: Simplify 0 into 0 66.945 * [backup-simplify]: Simplify 1 into 1 66.945 * [backup-simplify]: Simplify (/ 1 1) into 1 66.945 * [backup-simplify]: Simplify (+ 0 1) into 1 66.946 * [backup-simplify]: Simplify (/ PI 1) into PI 66.946 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 66.946 * [taylor]: Taking taylor expansion of 1/2 in a 66.946 * [backup-simplify]: Simplify 1/2 into 1/2 66.946 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 66.946 * [taylor]: Taking taylor expansion of PI in a 66.946 * [backup-simplify]: Simplify PI into PI 66.946 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 66.946 * [taylor]: Taking taylor expansion of (/ 1 a) in a 66.946 * [taylor]: Taking taylor expansion of a in a 66.946 * [backup-simplify]: Simplify 0 into 0 66.946 * [backup-simplify]: Simplify 1 into 1 66.946 * [backup-simplify]: Simplify (/ 1 1) into 1 66.946 * [taylor]: Taking taylor expansion of (/ 1 b) in a 66.946 * [taylor]: Taking taylor expansion of b in a 66.946 * [backup-simplify]: Simplify b into b 66.946 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 66.947 * [backup-simplify]: Simplify (+ 1 0) into 1 66.947 * [backup-simplify]: Simplify (/ PI 1) into PI 66.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 66.947 * [taylor]: Taking taylor expansion of 1/2 in a 66.947 * [backup-simplify]: Simplify 1/2 into 1/2 66.947 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 66.947 * [taylor]: Taking taylor expansion of PI in a 66.947 * [backup-simplify]: Simplify PI into PI 66.947 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 66.947 * [taylor]: Taking taylor expansion of (/ 1 a) in a 66.947 * [taylor]: Taking taylor expansion of a in a 66.947 * [backup-simplify]: Simplify 0 into 0 66.947 * [backup-simplify]: Simplify 1 into 1 66.947 * [backup-simplify]: Simplify (/ 1 1) into 1 66.947 * [taylor]: Taking taylor expansion of (/ 1 b) in a 66.947 * [taylor]: Taking taylor expansion of b in a 66.947 * [backup-simplify]: Simplify b into b 66.947 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 66.948 * [backup-simplify]: Simplify (+ 1 0) into 1 66.948 * [backup-simplify]: Simplify (/ PI 1) into PI 66.948 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 66.948 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 66.948 * [taylor]: Taking taylor expansion of 1/2 in b 66.948 * [backup-simplify]: Simplify 1/2 into 1/2 66.948 * [taylor]: Taking taylor expansion of PI in b 66.948 * [backup-simplify]: Simplify PI into PI 66.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 66.949 * [backup-simplify]: Simplify 0 into 0 66.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 66.949 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 66.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 66.950 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 66.950 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 66.950 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 66.950 * [taylor]: Taking taylor expansion of 1/2 in b 66.950 * [backup-simplify]: Simplify 1/2 into 1/2 66.950 * [taylor]: Taking taylor expansion of (/ PI b) in b 66.950 * [taylor]: Taking taylor expansion of PI in b 66.950 * [backup-simplify]: Simplify PI into PI 66.950 * [taylor]: Taking taylor expansion of b in b 66.950 * [backup-simplify]: Simplify 0 into 0 66.950 * [backup-simplify]: Simplify 1 into 1 66.951 * [backup-simplify]: Simplify (/ PI 1) into PI 66.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 66.953 * [backup-simplify]: Simplify (- 0) into 0 66.953 * [backup-simplify]: Simplify 0 into 0 66.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 66.953 * [backup-simplify]: Simplify 0 into 0 66.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 66.954 * [backup-simplify]: Simplify (+ 0 0) into 0 66.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 66.955 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 66.955 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 66.955 * [taylor]: Taking taylor expansion of 1/2 in b 66.955 * [backup-simplify]: Simplify 1/2 into 1/2 66.955 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 66.955 * [taylor]: Taking taylor expansion of PI in b 66.955 * [backup-simplify]: Simplify PI into PI 66.955 * [taylor]: Taking taylor expansion of (pow b 2) in b 66.955 * [taylor]: Taking taylor expansion of b in b 66.955 * [backup-simplify]: Simplify 0 into 0 66.955 * [backup-simplify]: Simplify 1 into 1 66.956 * [backup-simplify]: Simplify (* 1 1) into 1 66.956 * [backup-simplify]: Simplify (/ PI 1) into PI 66.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 66.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 66.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.960 * [backup-simplify]: Simplify 0 into 0 66.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.962 * [backup-simplify]: Simplify (- 0) into 0 66.962 * [backup-simplify]: Simplify 0 into 0 66.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.963 * [backup-simplify]: Simplify 0 into 0 66.963 * [backup-simplify]: Simplify 0 into 0 66.963 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 66.964 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 66.964 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 66.964 * [taylor]: Taking taylor expansion of -1/2 in b 66.964 * [backup-simplify]: Simplify -1/2 into -1/2 66.964 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 66.964 * [taylor]: Taking taylor expansion of PI in b 66.964 * [backup-simplify]: Simplify PI into PI 66.964 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 66.964 * [taylor]: Taking taylor expansion of (/ 1 a) in b 66.964 * [taylor]: Taking taylor expansion of a in b 66.964 * [backup-simplify]: Simplify a into a 66.964 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 66.964 * [taylor]: Taking taylor expansion of (/ 1 b) in b 66.964 * [taylor]: Taking taylor expansion of b in b 66.964 * [backup-simplify]: Simplify 0 into 0 66.964 * [backup-simplify]: Simplify 1 into 1 66.964 * [backup-simplify]: Simplify (/ 1 1) into 1 66.965 * [backup-simplify]: Simplify (+ 0 1) into 1 66.966 * [backup-simplify]: Simplify (/ PI 1) into PI 66.966 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 66.966 * [taylor]: Taking taylor expansion of -1/2 in a 66.966 * [backup-simplify]: Simplify -1/2 into -1/2 66.966 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 66.966 * [taylor]: Taking taylor expansion of PI in a 66.966 * [backup-simplify]: Simplify PI into PI 66.966 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 66.966 * [taylor]: Taking taylor expansion of (/ 1 a) in a 66.966 * [taylor]: Taking taylor expansion of a in a 66.966 * [backup-simplify]: Simplify 0 into 0 66.966 * [backup-simplify]: Simplify 1 into 1 66.966 * [backup-simplify]: Simplify (/ 1 1) into 1 66.966 * [taylor]: Taking taylor expansion of (/ 1 b) in a 66.966 * [taylor]: Taking taylor expansion of b in a 66.966 * [backup-simplify]: Simplify b into b 66.967 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 66.967 * [backup-simplify]: Simplify (+ 1 0) into 1 66.968 * [backup-simplify]: Simplify (/ PI 1) into PI 66.968 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 66.968 * [taylor]: Taking taylor expansion of -1/2 in a 66.968 * [backup-simplify]: Simplify -1/2 into -1/2 66.968 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 66.968 * [taylor]: Taking taylor expansion of PI in a 66.968 * [backup-simplify]: Simplify PI into PI 66.968 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 66.968 * [taylor]: Taking taylor expansion of (/ 1 a) in a 66.968 * [taylor]: Taking taylor expansion of a in a 66.968 * [backup-simplify]: Simplify 0 into 0 66.968 * [backup-simplify]: Simplify 1 into 1 66.968 * [backup-simplify]: Simplify (/ 1 1) into 1 66.968 * [taylor]: Taking taylor expansion of (/ 1 b) in a 66.968 * [taylor]: Taking taylor expansion of b in a 66.968 * [backup-simplify]: Simplify b into b 66.968 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 66.969 * [backup-simplify]: Simplify (+ 1 0) into 1 66.969 * [backup-simplify]: Simplify (/ PI 1) into PI 66.970 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 66.970 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 66.970 * [taylor]: Taking taylor expansion of -1/2 in b 66.970 * [backup-simplify]: Simplify -1/2 into -1/2 66.970 * [taylor]: Taking taylor expansion of PI in b 66.970 * [backup-simplify]: Simplify PI into PI 66.971 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 66.971 * [backup-simplify]: Simplify 0 into 0 66.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 66.972 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 66.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 66.973 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 66.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 66.973 * [taylor]: Taking taylor expansion of 1/2 in b 66.973 * [backup-simplify]: Simplify 1/2 into 1/2 66.973 * [taylor]: Taking taylor expansion of (/ PI b) in b 66.973 * [taylor]: Taking taylor expansion of PI in b 66.973 * [backup-simplify]: Simplify PI into PI 66.973 * [taylor]: Taking taylor expansion of b in b 66.973 * [backup-simplify]: Simplify 0 into 0 66.973 * [backup-simplify]: Simplify 1 into 1 66.974 * [backup-simplify]: Simplify (/ PI 1) into PI 66.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 66.977 * [backup-simplify]: Simplify 0 into 0 66.978 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 66.978 * [backup-simplify]: Simplify 0 into 0 66.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 66.979 * [backup-simplify]: Simplify (+ 0 0) into 0 66.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 66.981 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 66.981 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 66.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 66.981 * [taylor]: Taking taylor expansion of 1/2 in b 66.981 * [backup-simplify]: Simplify 1/2 into 1/2 66.981 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 66.981 * [taylor]: Taking taylor expansion of PI in b 66.981 * [backup-simplify]: Simplify PI into PI 66.981 * [taylor]: Taking taylor expansion of (pow b 2) in b 66.981 * [taylor]: Taking taylor expansion of b in b 66.981 * [backup-simplify]: Simplify 0 into 0 66.981 * [backup-simplify]: Simplify 1 into 1 66.982 * [backup-simplify]: Simplify (* 1 1) into 1 66.982 * [backup-simplify]: Simplify (/ PI 1) into PI 66.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 66.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 66.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.989 * [backup-simplify]: Simplify (- 0) into 0 66.989 * [backup-simplify]: Simplify 0 into 0 66.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.991 * [backup-simplify]: Simplify 0 into 0 66.993 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.993 * [backup-simplify]: Simplify 0 into 0 66.993 * [backup-simplify]: Simplify 0 into 0 66.993 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 66.994 * [backup-simplify]: Simplify (/ (/ (/ PI 2) (+ a b)) (/ a (/ 1 (- b a)))) into (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) 66.994 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in (a b) around 0 66.994 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in b 66.994 * [taylor]: Taking taylor expansion of 1/2 in b 66.994 * [backup-simplify]: Simplify 1/2 into 1/2 66.994 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) (- b a)))) in b 66.994 * [taylor]: Taking taylor expansion of PI in b 66.994 * [backup-simplify]: Simplify PI into PI 66.994 * [taylor]: Taking taylor expansion of (* a (* (+ a b) (- b a))) in b 66.994 * [taylor]: Taking taylor expansion of a in b 66.994 * [backup-simplify]: Simplify a into a 66.994 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 66.994 * [taylor]: Taking taylor expansion of (+ a b) in b 66.994 * [taylor]: Taking taylor expansion of a in b 66.994 * [backup-simplify]: Simplify a into a 66.994 * [taylor]: Taking taylor expansion of b in b 66.994 * [backup-simplify]: Simplify 0 into 0 66.994 * [backup-simplify]: Simplify 1 into 1 66.994 * [taylor]: Taking taylor expansion of (- b a) in b 66.994 * [taylor]: Taking taylor expansion of b in b 66.994 * [backup-simplify]: Simplify 0 into 0 66.994 * [backup-simplify]: Simplify 1 into 1 66.994 * [taylor]: Taking taylor expansion of a in b 66.994 * [backup-simplify]: Simplify a into a 66.994 * [backup-simplify]: Simplify (+ a 0) into a 66.994 * [backup-simplify]: Simplify (- a) into (- a) 66.995 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 66.995 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 66.995 * [backup-simplify]: Simplify (* a (* -1 (pow a 2))) into (* -1 (pow a 3)) 66.995 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 3))) into (* -1 (/ PI (pow a 3))) 66.995 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in a 66.995 * [taylor]: Taking taylor expansion of 1/2 in a 66.995 * [backup-simplify]: Simplify 1/2 into 1/2 66.995 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) (- b a)))) in a 66.995 * [taylor]: Taking taylor expansion of PI in a 66.995 * [backup-simplify]: Simplify PI into PI 66.995 * [taylor]: Taking taylor expansion of (* a (* (+ a b) (- b a))) in a 66.995 * [taylor]: Taking taylor expansion of a in a 66.995 * [backup-simplify]: Simplify 0 into 0 66.995 * [backup-simplify]: Simplify 1 into 1 66.995 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 66.995 * [taylor]: Taking taylor expansion of (+ a b) in a 66.995 * [taylor]: Taking taylor expansion of a in a 66.995 * [backup-simplify]: Simplify 0 into 0 66.995 * [backup-simplify]: Simplify 1 into 1 66.995 * [taylor]: Taking taylor expansion of b in a 66.995 * [backup-simplify]: Simplify b into b 66.995 * [taylor]: Taking taylor expansion of (- b a) in a 66.995 * [taylor]: Taking taylor expansion of b in a 66.995 * [backup-simplify]: Simplify b into b 66.995 * [taylor]: Taking taylor expansion of a in a 66.995 * [backup-simplify]: Simplify 0 into 0 66.995 * [backup-simplify]: Simplify 1 into 1 66.996 * [backup-simplify]: Simplify (+ 0 b) into b 66.996 * [backup-simplify]: Simplify (- 0) into 0 66.996 * [backup-simplify]: Simplify (+ b 0) into b 66.996 * [backup-simplify]: Simplify (* b b) into (pow b 2) 66.996 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 66.997 * [backup-simplify]: Simplify (- 1) into -1 66.997 * [backup-simplify]: Simplify (+ 0 -1) into -1 66.998 * [backup-simplify]: Simplify (+ 1 0) into 1 66.998 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 66.999 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow b 2))) into (pow b 2) 66.999 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 66.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in a 66.999 * [taylor]: Taking taylor expansion of 1/2 in a 66.999 * [backup-simplify]: Simplify 1/2 into 1/2 66.999 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) (- b a)))) in a 66.999 * [taylor]: Taking taylor expansion of PI in a 66.999 * [backup-simplify]: Simplify PI into PI 66.999 * [taylor]: Taking taylor expansion of (* a (* (+ a b) (- b a))) in a 66.999 * [taylor]: Taking taylor expansion of a in a 66.999 * [backup-simplify]: Simplify 0 into 0 66.999 * [backup-simplify]: Simplify 1 into 1 66.999 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 66.999 * [taylor]: Taking taylor expansion of (+ a b) in a 66.999 * [taylor]: Taking taylor expansion of a in a 66.999 * [backup-simplify]: Simplify 0 into 0 66.999 * [backup-simplify]: Simplify 1 into 1 66.999 * [taylor]: Taking taylor expansion of b in a 66.999 * [backup-simplify]: Simplify b into b 66.999 * [taylor]: Taking taylor expansion of (- b a) in a 66.999 * [taylor]: Taking taylor expansion of b in a 66.999 * [backup-simplify]: Simplify b into b 66.999 * [taylor]: Taking taylor expansion of a in a 66.999 * [backup-simplify]: Simplify 0 into 0 66.999 * [backup-simplify]: Simplify 1 into 1 66.999 * [backup-simplify]: Simplify (+ 0 b) into b 67.000 * [backup-simplify]: Simplify (- 0) into 0 67.000 * [backup-simplify]: Simplify (+ b 0) into b 67.000 * [backup-simplify]: Simplify (* b b) into (pow b 2) 67.000 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 67.001 * [backup-simplify]: Simplify (- 1) into -1 67.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 67.001 * [backup-simplify]: Simplify (+ 1 0) into 1 67.002 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 67.002 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow b 2))) into (pow b 2) 67.002 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 67.002 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 67.002 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 67.002 * [taylor]: Taking taylor expansion of 1/2 in b 67.002 * [backup-simplify]: Simplify 1/2 into 1/2 67.003 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 67.003 * [taylor]: Taking taylor expansion of PI in b 67.003 * [backup-simplify]: Simplify PI into PI 67.003 * [taylor]: Taking taylor expansion of (pow b 2) in b 67.003 * [taylor]: Taking taylor expansion of b in b 67.003 * [backup-simplify]: Simplify 0 into 0 67.003 * [backup-simplify]: Simplify 1 into 1 67.003 * [backup-simplify]: Simplify (* 1 1) into 1 67.004 * [backup-simplify]: Simplify (/ PI 1) into PI 67.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 67.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 67.008 * [backup-simplify]: Simplify 0 into 0 67.009 * [backup-simplify]: Simplify (- 0) into 0 67.009 * [backup-simplify]: Simplify (+ 0 0) into 0 67.010 * [backup-simplify]: Simplify (+ 0 0) into 0 67.010 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 67.011 * [backup-simplify]: Simplify (+ (* 0 (- 1)) (+ (* 1 0) (* 0 (pow b 2)))) into 0 67.011 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into 0 67.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI (pow b 2)))) into 0 67.012 * [taylor]: Taking taylor expansion of 0 in b 67.012 * [backup-simplify]: Simplify 0 into 0 67.012 * [backup-simplify]: Simplify 0 into 0 67.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 67.016 * [backup-simplify]: Simplify 0 into 0 67.016 * [backup-simplify]: Simplify (- 0) into 0 67.017 * [backup-simplify]: Simplify (+ 0 0) into 0 67.017 * [backup-simplify]: Simplify (+ 0 0) into 0 67.018 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 -1) (* 0 b)))) into 0 67.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 1)) (+ (* 0 0) (* 0 (pow b 2))))) into (- 1) 67.020 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* 0 (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 67.021 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 0) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 67.021 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 67.021 * [taylor]: Taking taylor expansion of 1/2 in b 67.021 * [backup-simplify]: Simplify 1/2 into 1/2 67.021 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 67.021 * [taylor]: Taking taylor expansion of PI in b 67.021 * [backup-simplify]: Simplify PI into PI 67.021 * [taylor]: Taking taylor expansion of (pow b 4) in b 67.021 * [taylor]: Taking taylor expansion of b in b 67.021 * [backup-simplify]: Simplify 0 into 0 67.021 * [backup-simplify]: Simplify 1 into 1 67.022 * [backup-simplify]: Simplify (* 1 1) into 1 67.022 * [backup-simplify]: Simplify (* 1 1) into 1 67.022 * [backup-simplify]: Simplify (/ PI 1) into PI 67.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 67.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 67.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 67.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 67.036 * [backup-simplify]: Simplify 0 into 0 67.036 * [backup-simplify]: Simplify 0 into 0 67.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 67.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 67.040 * [backup-simplify]: Simplify 0 into 0 67.040 * [backup-simplify]: Simplify 0 into 0 67.041 * [backup-simplify]: Simplify (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (/ (/ 1 a) (/ 1 (- (/ 1 b) (/ 1 a))))) into (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 67.041 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 67.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 67.041 * [taylor]: Taking taylor expansion of 1/2 in b 67.041 * [backup-simplify]: Simplify 1/2 into 1/2 67.041 * [taylor]: Taking taylor expansion of (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 67.041 * [taylor]: Taking taylor expansion of (* PI a) in b 67.041 * [taylor]: Taking taylor expansion of PI in b 67.041 * [backup-simplify]: Simplify PI into PI 67.041 * [taylor]: Taking taylor expansion of a in b 67.041 * [backup-simplify]: Simplify a into a 67.041 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 67.041 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 67.041 * [taylor]: Taking taylor expansion of (/ 1 a) in b 67.041 * [taylor]: Taking taylor expansion of a in b 67.041 * [backup-simplify]: Simplify a into a 67.041 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 67.041 * [taylor]: Taking taylor expansion of (/ 1 b) in b 67.041 * [taylor]: Taking taylor expansion of b in b 67.041 * [backup-simplify]: Simplify 0 into 0 67.042 * [backup-simplify]: Simplify 1 into 1 67.042 * [backup-simplify]: Simplify (/ 1 1) into 1 67.042 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 67.042 * [taylor]: Taking taylor expansion of (/ 1 b) in b 67.042 * [taylor]: Taking taylor expansion of b in b 67.042 * [backup-simplify]: Simplify 0 into 0 67.042 * [backup-simplify]: Simplify 1 into 1 67.042 * [backup-simplify]: Simplify (/ 1 1) into 1 67.043 * [taylor]: Taking taylor expansion of (/ 1 a) in b 67.043 * [taylor]: Taking taylor expansion of a in b 67.043 * [backup-simplify]: Simplify a into a 67.043 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 67.043 * [backup-simplify]: Simplify (* PI a) into (* a PI) 67.043 * [backup-simplify]: Simplify (+ 0 1) into 1 67.044 * [backup-simplify]: Simplify (+ 1 0) into 1 67.044 * [backup-simplify]: Simplify (* 1 1) into 1 67.044 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 67.044 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 67.044 * [taylor]: Taking taylor expansion of 1/2 in a 67.044 * [backup-simplify]: Simplify 1/2 into 1/2 67.044 * [taylor]: Taking taylor expansion of (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 67.044 * [taylor]: Taking taylor expansion of (* PI a) in a 67.044 * [taylor]: Taking taylor expansion of PI in a 67.044 * [backup-simplify]: Simplify PI into PI 67.044 * [taylor]: Taking taylor expansion of a in a 67.044 * [backup-simplify]: Simplify 0 into 0 67.044 * [backup-simplify]: Simplify 1 into 1 67.044 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 67.044 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 67.044 * [taylor]: Taking taylor expansion of (/ 1 a) in a 67.045 * [taylor]: Taking taylor expansion of a in a 67.045 * [backup-simplify]: Simplify 0 into 0 67.045 * [backup-simplify]: Simplify 1 into 1 67.045 * [backup-simplify]: Simplify (/ 1 1) into 1 67.045 * [taylor]: Taking taylor expansion of (/ 1 b) in a 67.045 * [taylor]: Taking taylor expansion of b in a 67.045 * [backup-simplify]: Simplify b into b 67.045 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 67.045 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 67.045 * [taylor]: Taking taylor expansion of (/ 1 b) in a 67.045 * [taylor]: Taking taylor expansion of b in a 67.045 * [backup-simplify]: Simplify b into b 67.045 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 67.045 * [taylor]: Taking taylor expansion of (/ 1 a) in a 67.045 * [taylor]: Taking taylor expansion of a in a 67.045 * [backup-simplify]: Simplify 0 into 0 67.045 * [backup-simplify]: Simplify 1 into 1 67.046 * [backup-simplify]: Simplify (/ 1 1) into 1 67.046 * [backup-simplify]: Simplify (* PI 0) into 0 67.048 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 67.048 * [backup-simplify]: Simplify (+ 1 0) into 1 67.049 * [backup-simplify]: Simplify (- 1) into -1 67.049 * [backup-simplify]: Simplify (+ 0 -1) into -1 67.050 * [backup-simplify]: Simplify (* 1 -1) into -1 67.050 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 67.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 67.050 * [taylor]: Taking taylor expansion of 1/2 in a 67.050 * [backup-simplify]: Simplify 1/2 into 1/2 67.050 * [taylor]: Taking taylor expansion of (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 67.050 * [taylor]: Taking taylor expansion of (* PI a) in a 67.050 * [taylor]: Taking taylor expansion of PI in a 67.050 * [backup-simplify]: Simplify PI into PI 67.050 * [taylor]: Taking taylor expansion of a in a 67.050 * [backup-simplify]: Simplify 0 into 0 67.050 * [backup-simplify]: Simplify 1 into 1 67.051 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 67.051 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 67.051 * [taylor]: Taking taylor expansion of (/ 1 a) in a 67.051 * [taylor]: Taking taylor expansion of a in a 67.051 * [backup-simplify]: Simplify 0 into 0 67.051 * [backup-simplify]: Simplify 1 into 1 67.051 * [backup-simplify]: Simplify (/ 1 1) into 1 67.051 * [taylor]: Taking taylor expansion of (/ 1 b) in a 67.051 * [taylor]: Taking taylor expansion of b in a 67.051 * [backup-simplify]: Simplify b into b 67.051 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 67.051 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 67.051 * [taylor]: Taking taylor expansion of (/ 1 b) in a 67.051 * [taylor]: Taking taylor expansion of b in a 67.051 * [backup-simplify]: Simplify b into b 67.051 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 67.051 * [taylor]: Taking taylor expansion of (/ 1 a) in a 67.051 * [taylor]: Taking taylor expansion of a in a 67.051 * [backup-simplify]: Simplify 0 into 0 67.051 * [backup-simplify]: Simplify 1 into 1 67.052 * [backup-simplify]: Simplify (/ 1 1) into 1 67.052 * [backup-simplify]: Simplify (* PI 0) into 0 67.054 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 67.054 * [backup-simplify]: Simplify (+ 1 0) into 1 67.055 * [backup-simplify]: Simplify (- 1) into -1 67.055 * [backup-simplify]: Simplify (+ 0 -1) into -1 67.056 * [backup-simplify]: Simplify (* 1 -1) into -1 67.056 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 67.058 * [backup-simplify]: Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI) 67.058 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 67.058 * [taylor]: Taking taylor expansion of -1/2 in b 67.058 * [backup-simplify]: Simplify -1/2 into -1/2 67.058 * [taylor]: Taking taylor expansion of PI in b 67.058 * [backup-simplify]: Simplify PI into PI 67.059 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 67.059 * [backup-simplify]: Simplify 0 into 0 67.064 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 67.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 67.066 * [backup-simplify]: Simplify (- 0) into 0 67.066 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 67.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 67.066 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 67.067 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 67.067 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 67.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 PI))) into 0 67.068 * [taylor]: Taking taylor expansion of 0 in b 67.068 * [backup-simplify]: Simplify 0 into 0 67.068 * [backup-simplify]: Simplify 0 into 0 67.069 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 67.069 * [backup-simplify]: Simplify 0 into 0 67.069 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 67.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 67.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.070 * [backup-simplify]: Simplify (- 0) into 0 67.071 * [backup-simplify]: Simplify (+ 0 0) into 0 67.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 67.071 * [backup-simplify]: Simplify (+ 0 0) into 0 67.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 67.073 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI (pow b 2))) 67.074 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (+ (* 0 0) (* 0 (* -1 PI)))) into (- (* 1/2 (/ PI (pow b 2)))) 67.074 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 67.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 67.074 * [taylor]: Taking taylor expansion of 1/2 in b 67.074 * [backup-simplify]: Simplify 1/2 into 1/2 67.074 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 67.074 * [taylor]: Taking taylor expansion of PI in b 67.074 * [backup-simplify]: Simplify PI into PI 67.074 * [taylor]: Taking taylor expansion of (pow b 2) in b 67.074 * [taylor]: Taking taylor expansion of b in b 67.074 * [backup-simplify]: Simplify 0 into 0 67.074 * [backup-simplify]: Simplify 1 into 1 67.074 * [backup-simplify]: Simplify (* 1 1) into 1 67.074 * [backup-simplify]: Simplify (/ PI 1) into PI 67.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 67.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 67.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 67.080 * [backup-simplify]: Simplify (- 0) into 0 67.080 * [backup-simplify]: Simplify 0 into 0 67.080 * [backup-simplify]: Simplify 0 into 0 67.081 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 67.081 * [backup-simplify]: Simplify 0 into 0 67.081 * [backup-simplify]: Simplify 0 into 0 67.082 * [backup-simplify]: Simplify (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (/ 1 (- a)) (/ 1 (- (/ 1 (- b)) (/ 1 (- a)))))) into (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 67.082 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 67.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 67.082 * [taylor]: Taking taylor expansion of 1/2 in b 67.082 * [backup-simplify]: Simplify 1/2 into 1/2 67.082 * [taylor]: Taking taylor expansion of (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 67.082 * [taylor]: Taking taylor expansion of (* a PI) in b 67.082 * [taylor]: Taking taylor expansion of a in b 67.082 * [backup-simplify]: Simplify a into a 67.082 * [taylor]: Taking taylor expansion of PI in b 67.082 * [backup-simplify]: Simplify PI into PI 67.082 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 67.082 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 67.082 * [taylor]: Taking taylor expansion of (/ 1 a) in b 67.082 * [taylor]: Taking taylor expansion of a in b 67.082 * [backup-simplify]: Simplify a into a 67.082 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 67.082 * [taylor]: Taking taylor expansion of (/ 1 b) in b 67.082 * [taylor]: Taking taylor expansion of b in b 67.082 * [backup-simplify]: Simplify 0 into 0 67.082 * [backup-simplify]: Simplify 1 into 1 67.082 * [backup-simplify]: Simplify (/ 1 1) into 1 67.082 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 67.082 * [taylor]: Taking taylor expansion of (/ 1 a) in b 67.082 * [taylor]: Taking taylor expansion of a in b 67.082 * [backup-simplify]: Simplify a into a 67.082 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 67.082 * [taylor]: Taking taylor expansion of (/ 1 b) in b 67.082 * [taylor]: Taking taylor expansion of b in b 67.082 * [backup-simplify]: Simplify 0 into 0 67.082 * [backup-simplify]: Simplify 1 into 1 67.083 * [backup-simplify]: Simplify (/ 1 1) into 1 67.083 * [backup-simplify]: Simplify (* a PI) into (* a PI) 67.083 * [backup-simplify]: Simplify (+ 0 1) into 1 67.083 * [backup-simplify]: Simplify (- 1) into -1 67.083 * [backup-simplify]: Simplify (+ 0 -1) into -1 67.084 * [backup-simplify]: Simplify (* 1 -1) into -1 67.084 * [backup-simplify]: Simplify (/ (* a PI) -1) into (* -1 (* a PI)) 67.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 67.084 * [taylor]: Taking taylor expansion of 1/2 in a 67.084 * [backup-simplify]: Simplify 1/2 into 1/2 67.084 * [taylor]: Taking taylor expansion of (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 67.084 * [taylor]: Taking taylor expansion of (* a PI) in a 67.084 * [taylor]: Taking taylor expansion of a in a 67.084 * [backup-simplify]: Simplify 0 into 0 67.084 * [backup-simplify]: Simplify 1 into 1 67.084 * [taylor]: Taking taylor expansion of PI in a 67.084 * [backup-simplify]: Simplify PI into PI 67.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 67.084 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 67.084 * [taylor]: Taking taylor expansion of (/ 1 a) in a 67.084 * [taylor]: Taking taylor expansion of a in a 67.084 * [backup-simplify]: Simplify 0 into 0 67.084 * [backup-simplify]: Simplify 1 into 1 67.084 * [backup-simplify]: Simplify (/ 1 1) into 1 67.084 * [taylor]: Taking taylor expansion of (/ 1 b) in a 67.084 * [taylor]: Taking taylor expansion of b in a 67.084 * [backup-simplify]: Simplify b into b 67.084 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 67.084 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 67.084 * [taylor]: Taking taylor expansion of (/ 1 a) in a 67.084 * [taylor]: Taking taylor expansion of a in a 67.084 * [backup-simplify]: Simplify 0 into 0 67.084 * [backup-simplify]: Simplify 1 into 1 67.085 * [backup-simplify]: Simplify (/ 1 1) into 1 67.085 * [taylor]: Taking taylor expansion of (/ 1 b) in a 67.085 * [taylor]: Taking taylor expansion of b in a 67.085 * [backup-simplify]: Simplify b into b 67.085 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 67.085 * [backup-simplify]: Simplify (* 0 PI) into 0 67.086 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.086 * [backup-simplify]: Simplify (+ 1 0) into 1 67.087 * [backup-simplify]: Simplify (+ 1 0) into 1 67.087 * [backup-simplify]: Simplify (* 1 1) into 1 67.087 * [backup-simplify]: Simplify (/ PI 1) into PI 67.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 67.087 * [taylor]: Taking taylor expansion of 1/2 in a 67.087 * [backup-simplify]: Simplify 1/2 into 1/2 67.087 * [taylor]: Taking taylor expansion of (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 67.087 * [taylor]: Taking taylor expansion of (* a PI) in a 67.087 * [taylor]: Taking taylor expansion of a in a 67.087 * [backup-simplify]: Simplify 0 into 0 67.087 * [backup-simplify]: Simplify 1 into 1 67.087 * [taylor]: Taking taylor expansion of PI in a 67.087 * [backup-simplify]: Simplify PI into PI 67.087 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 67.087 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 67.087 * [taylor]: Taking taylor expansion of (/ 1 a) in a 67.087 * [taylor]: Taking taylor expansion of a in a 67.087 * [backup-simplify]: Simplify 0 into 0 67.087 * [backup-simplify]: Simplify 1 into 1 67.088 * [backup-simplify]: Simplify (/ 1 1) into 1 67.088 * [taylor]: Taking taylor expansion of (/ 1 b) in a 67.088 * [taylor]: Taking taylor expansion of b in a 67.088 * [backup-simplify]: Simplify b into b 67.088 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 67.088 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 67.088 * [taylor]: Taking taylor expansion of (/ 1 a) in a 67.088 * [taylor]: Taking taylor expansion of a in a 67.088 * [backup-simplify]: Simplify 0 into 0 67.088 * [backup-simplify]: Simplify 1 into 1 67.088 * [backup-simplify]: Simplify (/ 1 1) into 1 67.088 * [taylor]: Taking taylor expansion of (/ 1 b) in a 67.088 * [taylor]: Taking taylor expansion of b in a 67.088 * [backup-simplify]: Simplify b into b 67.088 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 67.088 * [backup-simplify]: Simplify (* 0 PI) into 0 67.089 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.090 * [backup-simplify]: Simplify (+ 1 0) into 1 67.090 * [backup-simplify]: Simplify (+ 1 0) into 1 67.090 * [backup-simplify]: Simplify (* 1 1) into 1 67.091 * [backup-simplify]: Simplify (/ PI 1) into PI 67.091 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 67.091 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 67.091 * [taylor]: Taking taylor expansion of 1/2 in b 67.091 * [backup-simplify]: Simplify 1/2 into 1/2 67.091 * [taylor]: Taking taylor expansion of PI in b 67.091 * [backup-simplify]: Simplify PI into PI 67.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 67.093 * [backup-simplify]: Simplify 0 into 0 67.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 67.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 67.095 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 67.095 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 67.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 67.096 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 67.096 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 67.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 67.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 67.098 * [taylor]: Taking taylor expansion of 0 in b 67.098 * [backup-simplify]: Simplify 0 into 0 67.098 * [backup-simplify]: Simplify 0 into 0 67.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 67.099 * [backup-simplify]: Simplify 0 into 0 67.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 67.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 67.102 * [backup-simplify]: Simplify (- 0) into 0 67.102 * [backup-simplify]: Simplify (+ 0 0) into 0 67.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 67.103 * [backup-simplify]: Simplify (+ 0 0) into 0 67.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 67.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow b 2)) 67.105 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 0) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 67.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 67.105 * [taylor]: Taking taylor expansion of 1/2 in b 67.105 * [backup-simplify]: Simplify 1/2 into 1/2 67.105 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 67.105 * [taylor]: Taking taylor expansion of PI in b 67.105 * [backup-simplify]: Simplify PI into PI 67.105 * [taylor]: Taking taylor expansion of (pow b 2) in b 67.105 * [taylor]: Taking taylor expansion of b in b 67.105 * [backup-simplify]: Simplify 0 into 0 67.105 * [backup-simplify]: Simplify 1 into 1 67.105 * [backup-simplify]: Simplify (* 1 1) into 1 67.106 * [backup-simplify]: Simplify (/ PI 1) into PI 67.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 67.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 67.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 67.111 * [backup-simplify]: Simplify 0 into 0 67.111 * [backup-simplify]: Simplify 0 into 0 67.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 67.112 * [backup-simplify]: Simplify 0 into 0 67.112 * [backup-simplify]: Simplify 0 into 0 67.112 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 67.112 * [backup-simplify]: Simplify (/ (/ (/ PI 2) (+ a b)) (* b (- b a))) into (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) 67.112 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in (a b) around 0 67.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in b 67.112 * [taylor]: Taking taylor expansion of 1/2 in b 67.113 * [backup-simplify]: Simplify 1/2 into 1/2 67.113 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in b 67.113 * [taylor]: Taking taylor expansion of PI in b 67.113 * [backup-simplify]: Simplify PI into PI 67.113 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in b 67.113 * [taylor]: Taking taylor expansion of b in b 67.113 * [backup-simplify]: Simplify 0 into 0 67.113 * [backup-simplify]: Simplify 1 into 1 67.113 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 67.113 * [taylor]: Taking taylor expansion of (+ a b) in b 67.113 * [taylor]: Taking taylor expansion of a in b 67.113 * [backup-simplify]: Simplify a into a 67.113 * [taylor]: Taking taylor expansion of b in b 67.113 * [backup-simplify]: Simplify 0 into 0 67.113 * [backup-simplify]: Simplify 1 into 1 67.113 * [taylor]: Taking taylor expansion of (- b a) in b 67.113 * [taylor]: Taking taylor expansion of b in b 67.113 * [backup-simplify]: Simplify 0 into 0 67.113 * [backup-simplify]: Simplify 1 into 1 67.113 * [taylor]: Taking taylor expansion of a in b 67.113 * [backup-simplify]: Simplify a into a 67.113 * [backup-simplify]: Simplify (+ a 0) into a 67.113 * [backup-simplify]: Simplify (- a) into (- a) 67.113 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 67.113 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 67.113 * [backup-simplify]: Simplify (* 0 (* -1 (pow a 2))) into 0 67.113 * [backup-simplify]: Simplify (- 0) into 0 67.113 * [backup-simplify]: Simplify (+ 1 0) into 1 67.114 * [backup-simplify]: Simplify (+ 0 1) into 1 67.114 * [backup-simplify]: Simplify (+ (* a 1) (* 1 (- a))) into 0 67.114 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* -1 (pow a 2)))) into (- (pow a 2)) 67.114 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 67.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in a 67.114 * [taylor]: Taking taylor expansion of 1/2 in a 67.114 * [backup-simplify]: Simplify 1/2 into 1/2 67.114 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in a 67.114 * [taylor]: Taking taylor expansion of PI in a 67.114 * [backup-simplify]: Simplify PI into PI 67.114 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in a 67.114 * [taylor]: Taking taylor expansion of b in a 67.114 * [backup-simplify]: Simplify b into b 67.114 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 67.114 * [taylor]: Taking taylor expansion of (+ a b) in a 67.114 * [taylor]: Taking taylor expansion of a in a 67.114 * [backup-simplify]: Simplify 0 into 0 67.114 * [backup-simplify]: Simplify 1 into 1 67.114 * [taylor]: Taking taylor expansion of b in a 67.114 * [backup-simplify]: Simplify b into b 67.115 * [taylor]: Taking taylor expansion of (- b a) in a 67.115 * [taylor]: Taking taylor expansion of b in a 67.115 * [backup-simplify]: Simplify b into b 67.115 * [taylor]: Taking taylor expansion of a in a 67.115 * [backup-simplify]: Simplify 0 into 0 67.115 * [backup-simplify]: Simplify 1 into 1 67.115 * [backup-simplify]: Simplify (+ 0 b) into b 67.115 * [backup-simplify]: Simplify (- 0) into 0 67.115 * [backup-simplify]: Simplify (+ b 0) into b 67.115 * [backup-simplify]: Simplify (* b b) into (pow b 2) 67.115 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 67.115 * [backup-simplify]: Simplify (/ PI (pow b 3)) into (/ PI (pow b 3)) 67.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in a 67.115 * [taylor]: Taking taylor expansion of 1/2 in a 67.115 * [backup-simplify]: Simplify 1/2 into 1/2 67.115 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in a 67.115 * [taylor]: Taking taylor expansion of PI in a 67.115 * [backup-simplify]: Simplify PI into PI 67.115 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in a 67.115 * [taylor]: Taking taylor expansion of b in a 67.115 * [backup-simplify]: Simplify b into b 67.115 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 67.115 * [taylor]: Taking taylor expansion of (+ a b) in a 67.115 * [taylor]: Taking taylor expansion of a in a 67.115 * [backup-simplify]: Simplify 0 into 0 67.115 * [backup-simplify]: Simplify 1 into 1 67.115 * [taylor]: Taking taylor expansion of b in a 67.115 * [backup-simplify]: Simplify b into b 67.115 * [taylor]: Taking taylor expansion of (- b a) in a 67.115 * [taylor]: Taking taylor expansion of b in a 67.115 * [backup-simplify]: Simplify b into b 67.115 * [taylor]: Taking taylor expansion of a in a 67.115 * [backup-simplify]: Simplify 0 into 0 67.115 * [backup-simplify]: Simplify 1 into 1 67.115 * [backup-simplify]: Simplify (+ 0 b) into b 67.116 * [backup-simplify]: Simplify (- 0) into 0 67.116 * [backup-simplify]: Simplify (+ b 0) into b 67.116 * [backup-simplify]: Simplify (* b b) into (pow b 2) 67.116 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 67.116 * [backup-simplify]: Simplify (/ PI (pow b 3)) into (/ PI (pow b 3)) 67.116 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 3))) into (* 1/2 (/ PI (pow b 3))) 67.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 67.116 * [taylor]: Taking taylor expansion of 1/2 in b 67.116 * [backup-simplify]: Simplify 1/2 into 1/2 67.116 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 67.116 * [taylor]: Taking taylor expansion of PI in b 67.116 * [backup-simplify]: Simplify PI into PI 67.116 * [taylor]: Taking taylor expansion of (pow b 3) in b 67.116 * [taylor]: Taking taylor expansion of b in b 67.116 * [backup-simplify]: Simplify 0 into 0 67.116 * [backup-simplify]: Simplify 1 into 1 67.117 * [backup-simplify]: Simplify (* 1 1) into 1 67.117 * [backup-simplify]: Simplify (* 1 1) into 1 67.117 * [backup-simplify]: Simplify (/ PI 1) into PI 67.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 67.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 67.121 * [backup-simplify]: Simplify 0 into 0 67.121 * [backup-simplify]: Simplify (- 1) into -1 67.121 * [backup-simplify]: Simplify (+ 0 -1) into -1 67.122 * [backup-simplify]: Simplify (+ 1 0) into 1 67.122 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 67.122 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (pow b 2))) into 0 67.122 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ 0 (pow b 3))))) into 0 67.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI (pow b 3)))) into 0 67.122 * [taylor]: Taking taylor expansion of 0 in b 67.122 * [backup-simplify]: Simplify 0 into 0 67.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 67.125 * [backup-simplify]: Simplify 0 into 0 67.125 * [backup-simplify]: Simplify (- 0) into 0 67.125 * [backup-simplify]: Simplify (+ 0 0) into 0 67.126 * [backup-simplify]: Simplify (+ 0 0) into 0 67.126 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 67.126 * [backup-simplify]: Simplify (+ (* b (- 1)) (+ (* 0 0) (* 0 (pow b 2)))) into (- b) 67.127 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ (- b) (pow b 3))) (* 0 (/ 0 (pow b 3))))) into (/ PI (pow b 5)) 67.127 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 5))) (+ (* 0 0) (* 0 (/ PI (pow b 3))))) into (* 1/2 (/ PI (pow b 5))) 67.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 5))) in b 67.127 * [taylor]: Taking taylor expansion of 1/2 in b 67.127 * [backup-simplify]: Simplify 1/2 into 1/2 67.127 * [taylor]: Taking taylor expansion of (/ PI (pow b 5)) in b 67.127 * [taylor]: Taking taylor expansion of PI in b 67.127 * [backup-simplify]: Simplify PI into PI 67.127 * [taylor]: Taking taylor expansion of (pow b 5) in b 67.127 * [taylor]: Taking taylor expansion of b in b 67.127 * [backup-simplify]: Simplify 0 into 0 67.127 * [backup-simplify]: Simplify 1 into 1 67.127 * [backup-simplify]: Simplify (* 1 1) into 1 67.128 * [backup-simplify]: Simplify (* 1 1) into 1 67.128 * [backup-simplify]: Simplify (* 1 1) into 1 67.128 * [backup-simplify]: Simplify (/ PI 1) into PI 67.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 67.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 67.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 67.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 67.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 67.145 * [backup-simplify]: Simplify 0 into 0 67.145 * [backup-simplify]: Simplify 0 into 0 67.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 67.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 67.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 67.151 * [backup-simplify]: Simplify 0 into 0 67.151 * [backup-simplify]: Simplify (- 0) into 0 67.151 * [backup-simplify]: Simplify (+ 0 0) into 0 67.152 * [backup-simplify]: Simplify (+ 0 0) into 0 67.153 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 -1) (* 0 b)))) into 0 67.154 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 (- 1)) (+ (* 0 0) (* 0 (pow b 2))))) into 0 67.155 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ (- b) (pow b 3))) (* (/ PI (pow b 5)) (/ 0 (pow b 3))))) into 0 67.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ PI (pow b 5))) (+ (* 0 0) (* 0 (/ PI (pow b 3)))))) into 0 67.156 * [taylor]: Taking taylor expansion of 0 in b 67.156 * [backup-simplify]: Simplify 0 into 0 67.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 67.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 67.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 67.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 67.164 * [backup-simplify]: Simplify 0 into 0 67.164 * [backup-simplify]: Simplify 0 into 0 67.165 * [backup-simplify]: Simplify (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (* (/ 1 b) (- (/ 1 b) (/ 1 a)))) into (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 67.165 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 67.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 67.165 * [taylor]: Taking taylor expansion of 1/2 in b 67.165 * [backup-simplify]: Simplify 1/2 into 1/2 67.165 * [taylor]: Taking taylor expansion of (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 67.165 * [taylor]: Taking taylor expansion of (* PI b) in b 67.165 * [taylor]: Taking taylor expansion of PI in b 67.165 * [backup-simplify]: Simplify PI into PI 67.165 * [taylor]: Taking taylor expansion of b in b 67.165 * [backup-simplify]: Simplify 0 into 0 67.165 * [backup-simplify]: Simplify 1 into 1 67.165 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 67.165 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 67.165 * [taylor]: Taking taylor expansion of (/ 1 a) in b 67.165 * [taylor]: Taking taylor expansion of a in b 67.165 * [backup-simplify]: Simplify a into a 67.165 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 67.165 * [taylor]: Taking taylor expansion of (/ 1 b) in b 67.166 * [taylor]: Taking taylor expansion of b in b 67.166 * [backup-simplify]: Simplify 0 into 0 67.166 * [backup-simplify]: Simplify 1 into 1 67.166 * [backup-simplify]: Simplify (/ 1 1) into 1 67.166 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 67.166 * [taylor]: Taking taylor expansion of (/ 1 b) in b 67.166 * [taylor]: Taking taylor expansion of b in b 67.166 * [backup-simplify]: Simplify 0 into 0 67.166 * [backup-simplify]: Simplify 1 into 1 67.167 * [backup-simplify]: Simplify (/ 1 1) into 1 67.167 * [taylor]: Taking taylor expansion of (/ 1 a) in b 67.167 * [taylor]: Taking taylor expansion of a in b 67.167 * [backup-simplify]: Simplify a into a 67.167 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 67.168 * [backup-simplify]: Simplify (* PI 0) into 0 67.170 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 67.171 * [backup-simplify]: Simplify (+ 0 1) into 1 67.172 * [backup-simplify]: Simplify (+ 1 0) into 1 67.172 * [backup-simplify]: Simplify (* 1 1) into 1 67.173 * [backup-simplify]: Simplify (/ PI 1) into PI 67.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 67.173 * [taylor]: Taking taylor expansion of 1/2 in a 67.173 * [backup-simplify]: Simplify 1/2 into 1/2 67.173 * [taylor]: Taking taylor expansion of (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 67.173 * [taylor]: Taking taylor expansion of (* PI b) in a 67.173 * [taylor]: Taking taylor expansion of PI in a 67.173 * [backup-simplify]: Simplify PI into PI 67.173 * [taylor]: Taking taylor expansion of b in a 67.173 * [backup-simplify]: Simplify b into b 67.173 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 67.173 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 67.173 * [taylor]: Taking taylor expansion of (/ 1 a) in a 67.173 * [taylor]: Taking taylor expansion of a in a 67.173 * [backup-simplify]: Simplify 0 into 0 67.173 * [backup-simplify]: Simplify 1 into 1 67.174 * [backup-simplify]: Simplify (/ 1 1) into 1 67.174 * [taylor]: Taking taylor expansion of (/ 1 b) in a 67.174 * [taylor]: Taking taylor expansion of b in a 67.174 * [backup-simplify]: Simplify b into b 67.174 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 67.174 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 67.174 * [taylor]: Taking taylor expansion of (/ 1 b) in a 67.174 * [taylor]: Taking taylor expansion of b in a 67.174 * [backup-simplify]: Simplify b into b 67.174 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 67.174 * [taylor]: Taking taylor expansion of (/ 1 a) in a 67.174 * [taylor]: Taking taylor expansion of a in a 67.174 * [backup-simplify]: Simplify 0 into 0 67.174 * [backup-simplify]: Simplify 1 into 1 67.175 * [backup-simplify]: Simplify (/ 1 1) into 1 67.175 * [backup-simplify]: Simplify (* PI b) into (* b PI) 67.175 * [backup-simplify]: Simplify (+ 1 0) into 1 67.176 * [backup-simplify]: Simplify (- 1) into -1 67.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 67.177 * [backup-simplify]: Simplify (* 1 -1) into -1 67.177 * [backup-simplify]: Simplify (/ (* b PI) -1) into (* -1 (* b PI)) 67.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 67.177 * [taylor]: Taking taylor expansion of 1/2 in a 67.177 * [backup-simplify]: Simplify 1/2 into 1/2 67.177 * [taylor]: Taking taylor expansion of (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 67.177 * [taylor]: Taking taylor expansion of (* PI b) in a 67.177 * [taylor]: Taking taylor expansion of PI in a 67.177 * [backup-simplify]: Simplify PI into PI 67.177 * [taylor]: Taking taylor expansion of b in a 67.177 * [backup-simplify]: Simplify b into b 67.177 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 67.177 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 67.177 * [taylor]: Taking taylor expansion of (/ 1 a) in a 67.177 * [taylor]: Taking taylor expansion of a in a 67.177 * [backup-simplify]: Simplify 0 into 0 67.177 * [backup-simplify]: Simplify 1 into 1 67.178 * [backup-simplify]: Simplify (/ 1 1) into 1 67.178 * [taylor]: Taking taylor expansion of (/ 1 b) in a 67.178 * [taylor]: Taking taylor expansion of b in a 67.178 * [backup-simplify]: Simplify b into b 67.178 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 67.178 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 67.178 * [taylor]: Taking taylor expansion of (/ 1 b) in a 67.178 * [taylor]: Taking taylor expansion of b in a 67.178 * [backup-simplify]: Simplify b into b 67.178 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 67.178 * [taylor]: Taking taylor expansion of (/ 1 a) in a 67.178 * [taylor]: Taking taylor expansion of a in a 67.178 * [backup-simplify]: Simplify 0 into 0 67.178 * [backup-simplify]: Simplify 1 into 1 67.178 * [backup-simplify]: Simplify (/ 1 1) into 1 67.178 * [backup-simplify]: Simplify (* PI b) into (* b PI) 67.179 * [backup-simplify]: Simplify (+ 1 0) into 1 67.179 * [backup-simplify]: Simplify (- 1) into -1 67.180 * [backup-simplify]: Simplify (+ 0 -1) into -1 67.180 * [backup-simplify]: Simplify (* 1 -1) into -1 67.180 * [backup-simplify]: Simplify (/ (* b PI) -1) into (* -1 (* b PI)) 67.180 * [backup-simplify]: Simplify (* 1/2 (* -1 (* b PI))) into (* -1/2 (* PI b)) 67.180 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 67.181 * [taylor]: Taking taylor expansion of -1/2 in b 67.181 * [backup-simplify]: Simplify -1/2 into -1/2 67.181 * [taylor]: Taking taylor expansion of (* PI b) in b 67.181 * [taylor]: Taking taylor expansion of PI in b 67.181 * [backup-simplify]: Simplify PI into PI 67.181 * [taylor]: Taking taylor expansion of b in b 67.181 * [backup-simplify]: Simplify 0 into 0 67.181 * [backup-simplify]: Simplify 1 into 1 67.182 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 67.189 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 67.190 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 67.191 * [backup-simplify]: Simplify (* PI 0) into 0 67.192 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 67.192 * [backup-simplify]: Simplify 0 into 0 67.192 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 67.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 67.193 * [backup-simplify]: Simplify (- 0) into 0 67.193 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 67.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 67.193 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 67.193 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 67.194 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (* b PI)) (/ 0 -1)))) into 0 67.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 (* b PI)))) into 0 67.194 * [taylor]: Taking taylor expansion of 0 in b 67.194 * [backup-simplify]: Simplify 0 into 0 67.194 * [backup-simplify]: Simplify 0 into 0 67.195 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 67.196 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 67.196 * [backup-simplify]: Simplify 0 into 0 67.197 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 67.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 67.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.197 * [backup-simplify]: Simplify (- 0) into 0 67.198 * [backup-simplify]: Simplify (+ 0 0) into 0 67.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 67.199 * [backup-simplify]: Simplify (+ 0 0) into 0 67.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 67.200 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI b)) 67.200 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (+ (* 0 0) (* 0 (* -1 (* b PI))))) into (- (* 1/2 (/ PI b))) 67.200 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 67.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 67.200 * [taylor]: Taking taylor expansion of 1/2 in b 67.200 * [backup-simplify]: Simplify 1/2 into 1/2 67.200 * [taylor]: Taking taylor expansion of (/ PI b) in b 67.200 * [taylor]: Taking taylor expansion of PI in b 67.200 * [backup-simplify]: Simplify PI into PI 67.200 * [taylor]: Taking taylor expansion of b in b 67.200 * [backup-simplify]: Simplify 0 into 0 67.200 * [backup-simplify]: Simplify 1 into 1 67.201 * [backup-simplify]: Simplify (/ PI 1) into PI 67.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 67.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 67.204 * [backup-simplify]: Simplify (- 0) into 0 67.204 * [backup-simplify]: Simplify 0 into 0 67.204 * [backup-simplify]: Simplify 0 into 0 67.205 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 67.206 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 67.206 * [backup-simplify]: Simplify 0 into 0 67.206 * [backup-simplify]: Simplify 0 into 0 67.207 * [backup-simplify]: Simplify (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (* (/ 1 (- b)) (- (/ 1 (- b)) (/ 1 (- a))))) into (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 67.207 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 67.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 67.207 * [taylor]: Taking taylor expansion of 1/2 in b 67.207 * [backup-simplify]: Simplify 1/2 into 1/2 67.207 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 67.207 * [taylor]: Taking taylor expansion of (* b PI) in b 67.207 * [taylor]: Taking taylor expansion of b in b 67.207 * [backup-simplify]: Simplify 0 into 0 67.207 * [backup-simplify]: Simplify 1 into 1 67.207 * [taylor]: Taking taylor expansion of PI in b 67.207 * [backup-simplify]: Simplify PI into PI 67.207 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 67.207 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 67.207 * [taylor]: Taking taylor expansion of (/ 1 a) in b 67.207 * [taylor]: Taking taylor expansion of a in b 67.207 * [backup-simplify]: Simplify a into a 67.207 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 67.207 * [taylor]: Taking taylor expansion of (/ 1 b) in b 67.207 * [taylor]: Taking taylor expansion of b in b 67.207 * [backup-simplify]: Simplify 0 into 0 67.207 * [backup-simplify]: Simplify 1 into 1 67.207 * [backup-simplify]: Simplify (/ 1 1) into 1 67.207 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 67.207 * [taylor]: Taking taylor expansion of (/ 1 a) in b 67.207 * [taylor]: Taking taylor expansion of a in b 67.207 * [backup-simplify]: Simplify a into a 67.207 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 67.207 * [taylor]: Taking taylor expansion of (/ 1 b) in b 67.207 * [taylor]: Taking taylor expansion of b in b 67.207 * [backup-simplify]: Simplify 0 into 0 67.207 * [backup-simplify]: Simplify 1 into 1 67.208 * [backup-simplify]: Simplify (/ 1 1) into 1 67.208 * [backup-simplify]: Simplify (* 0 PI) into 0 67.209 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.209 * [backup-simplify]: Simplify (+ 0 1) into 1 67.209 * [backup-simplify]: Simplify (- 1) into -1 67.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 67.210 * [backup-simplify]: Simplify (* 1 -1) into -1 67.210 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 67.210 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 67.210 * [taylor]: Taking taylor expansion of 1/2 in a 67.210 * [backup-simplify]: Simplify 1/2 into 1/2 67.210 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 67.210 * [taylor]: Taking taylor expansion of (* b PI) in a 67.210 * [taylor]: Taking taylor expansion of b in a 67.210 * [backup-simplify]: Simplify b into b 67.210 * [taylor]: Taking taylor expansion of PI in a 67.211 * [backup-simplify]: Simplify PI into PI 67.211 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 67.211 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 67.211 * [taylor]: Taking taylor expansion of (/ 1 a) in a 67.211 * [taylor]: Taking taylor expansion of a in a 67.211 * [backup-simplify]: Simplify 0 into 0 67.211 * [backup-simplify]: Simplify 1 into 1 67.211 * [backup-simplify]: Simplify (/ 1 1) into 1 67.211 * [taylor]: Taking taylor expansion of (/ 1 b) in a 67.211 * [taylor]: Taking taylor expansion of b in a 67.211 * [backup-simplify]: Simplify b into b 67.211 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 67.211 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 67.211 * [taylor]: Taking taylor expansion of (/ 1 a) in a 67.211 * [taylor]: Taking taylor expansion of a in a 67.211 * [backup-simplify]: Simplify 0 into 0 67.211 * [backup-simplify]: Simplify 1 into 1 67.211 * [backup-simplify]: Simplify (/ 1 1) into 1 67.211 * [taylor]: Taking taylor expansion of (/ 1 b) in a 67.211 * [taylor]: Taking taylor expansion of b in a 67.211 * [backup-simplify]: Simplify b into b 67.211 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 67.211 * [backup-simplify]: Simplify (* b PI) into (* PI b) 67.212 * [backup-simplify]: Simplify (+ 1 0) into 1 67.212 * [backup-simplify]: Simplify (+ 1 0) into 1 67.212 * [backup-simplify]: Simplify (* 1 1) into 1 67.212 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 67.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 67.212 * [taylor]: Taking taylor expansion of 1/2 in a 67.212 * [backup-simplify]: Simplify 1/2 into 1/2 67.212 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 67.212 * [taylor]: Taking taylor expansion of (* b PI) in a 67.212 * [taylor]: Taking taylor expansion of b in a 67.212 * [backup-simplify]: Simplify b into b 67.212 * [taylor]: Taking taylor expansion of PI in a 67.212 * [backup-simplify]: Simplify PI into PI 67.212 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 67.212 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 67.212 * [taylor]: Taking taylor expansion of (/ 1 a) in a 67.212 * [taylor]: Taking taylor expansion of a in a 67.212 * [backup-simplify]: Simplify 0 into 0 67.212 * [backup-simplify]: Simplify 1 into 1 67.213 * [backup-simplify]: Simplify (/ 1 1) into 1 67.213 * [taylor]: Taking taylor expansion of (/ 1 b) in a 67.213 * [taylor]: Taking taylor expansion of b in a 67.213 * [backup-simplify]: Simplify b into b 67.213 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 67.213 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 67.213 * [taylor]: Taking taylor expansion of (/ 1 a) in a 67.213 * [taylor]: Taking taylor expansion of a in a 67.213 * [backup-simplify]: Simplify 0 into 0 67.213 * [backup-simplify]: Simplify 1 into 1 67.213 * [backup-simplify]: Simplify (/ 1 1) into 1 67.213 * [taylor]: Taking taylor expansion of (/ 1 b) in a 67.213 * [taylor]: Taking taylor expansion of b in a 67.213 * [backup-simplify]: Simplify b into b 67.213 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 67.213 * [backup-simplify]: Simplify (* b PI) into (* PI b) 67.214 * [backup-simplify]: Simplify (+ 1 0) into 1 67.214 * [backup-simplify]: Simplify (+ 1 0) into 1 67.214 * [backup-simplify]: Simplify (* 1 1) into 1 67.214 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 67.214 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 67.214 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 67.214 * [taylor]: Taking taylor expansion of 1/2 in b 67.214 * [backup-simplify]: Simplify 1/2 into 1/2 67.214 * [taylor]: Taking taylor expansion of (* PI b) in b 67.214 * [taylor]: Taking taylor expansion of PI in b 67.214 * [backup-simplify]: Simplify PI into PI 67.214 * [taylor]: Taking taylor expansion of b in b 67.214 * [backup-simplify]: Simplify 0 into 0 67.214 * [backup-simplify]: Simplify 1 into 1 67.215 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 67.216 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 67.217 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 67.217 * [backup-simplify]: Simplify (* PI 0) into 0 67.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 67.218 * [backup-simplify]: Simplify 0 into 0 67.218 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 67.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 67.219 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 67.219 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 67.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 67.220 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 67.220 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 67.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)))) into 0 67.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 67.222 * [taylor]: Taking taylor expansion of 0 in b 67.222 * [backup-simplify]: Simplify 0 into 0 67.222 * [backup-simplify]: Simplify 0 into 0 67.223 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 67.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 67.225 * [backup-simplify]: Simplify 0 into 0 67.225 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 67.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 67.227 * [backup-simplify]: Simplify (- 0) into 0 67.227 * [backup-simplify]: Simplify (+ 0 0) into 0 67.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 67.229 * [backup-simplify]: Simplify (+ 0 0) into 0 67.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 67.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI b) 67.231 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 0) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 67.231 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 67.231 * [taylor]: Taking taylor expansion of 1/2 in b 67.231 * [backup-simplify]: Simplify 1/2 into 1/2 67.231 * [taylor]: Taking taylor expansion of (/ PI b) in b 67.231 * [taylor]: Taking taylor expansion of PI in b 67.231 * [backup-simplify]: Simplify PI into PI 67.231 * [taylor]: Taking taylor expansion of b in b 67.231 * [backup-simplify]: Simplify 0 into 0 67.231 * [backup-simplify]: Simplify 1 into 1 67.232 * [backup-simplify]: Simplify (/ PI 1) into PI 67.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 67.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 67.238 * [backup-simplify]: Simplify 0 into 0 67.238 * [backup-simplify]: Simplify 0 into 0 67.240 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 67.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 67.242 * [backup-simplify]: Simplify 0 into 0 67.242 * [backup-simplify]: Simplify 0 into 0 67.243 * * * [progress]: simplifying candidates 67.243 * * * * [progress]: [ 1 / 4444 ] simplifiying candidate # 67.243 * * * * [progress]: [ 2 / 4444 ] simplifiying candidate # 67.243 * * * * [progress]: [ 3 / 4444 ] simplifiying candidate # 67.243 * * * * [progress]: [ 4 / 4444 ] simplifiying candidate # 67.243 * * * * [progress]: [ 5 / 4444 ] simplifiying candidate # 67.243 * * * * [progress]: [ 6 / 4444 ] simplifiying candidate # 67.243 * * * * [progress]: [ 7 / 4444 ] simplifiying 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[progress]: [ 83 / 4444 ] simplifiying candidate # 67.250 * * * * [progress]: [ 84 / 4444 ] simplifiying candidate # 67.250 * * * * [progress]: [ 85 / 4444 ] simplifiying candidate # 67.250 * * * * [progress]: [ 86 / 4444 ] simplifiying candidate # 67.250 * * * * [progress]: [ 87 / 4444 ] simplifiying candidate # 67.250 * * * * [progress]: [ 88 / 4444 ] simplifiying candidate # 67.250 * * * * [progress]: [ 89 / 4444 ] simplifiying candidate #real (real->posit16 (/ (/ PI 2) (+ a b)))) (* b (- b a)))))> 67.250 * * * * [progress]: [ 90 / 4444 ] simplifiying candidate # 67.250 * * * * [progress]: [ 91 / 4444 ] simplifiying candidate # 67.251 * * * * [progress]: [ 92 / 4444 ] simplifiying candidate # 67.251 * * * * [progress]: [ 93 / 4444 ] simplifiying candidate # 67.251 * * * * [progress]: [ 94 / 4444 ] simplifiying candidate # 67.251 * * * * [progress]: [ 95 / 4444 ] simplifiying candidate # 67.251 * * * * [progress]: [ 96 / 4444 ] simplifiying candidate # 67.251 * * * * [progress]: [ 97 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a b))) (exp (/ (/ PI 2) (+ a b))) (/ (/ (* (* PI PI) PI) (* (* 2 2) 2)) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (cbrt (/ (/ PI 2) (+ a b))) (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) (sqrt (/ (/ PI 2) (+ a b))) (sqrt (/ (/ PI 2) (+ a b))) (- (/ PI 2)) (- (+ a b)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (/ (cbrt (/ PI 2)) (sqrt (+ a b))) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) (/ (cbrt (/ PI 2)) (+ a b)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) (/ (cbrt (/ PI 2)) (+ a b)) (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) 1) (/ (sqrt (/ PI 2)) (+ a b)) (/ (sqrt (/ PI 2)) 1) (/ (sqrt (/ PI 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (cbrt PI) (cbrt 2)) (cbrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (sqrt (+ a b))) (/ (/ (cbrt PI) (cbrt 2)) (sqrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (cbrt PI) (cbrt 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (cbrt PI) (cbrt 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (cbrt PI) (sqrt 2)) (cbrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (sqrt (+ a b))) (/ (/ (cbrt PI) (sqrt 2)) (sqrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) 1) (/ (/ (cbrt PI) (sqrt 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) 1) (/ (/ (cbrt PI) (sqrt 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (cbrt PI) 2) (cbrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (sqrt (+ a b))) (/ (/ (cbrt PI) 2) (sqrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) 1) 1) (/ (/ (cbrt PI) 2) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) 1) (/ (/ (cbrt PI) 2) (+ a b)) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt PI) (cbrt 2)) (cbrt (+ a b))) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) (sqrt (+ a b))) (/ (/ (sqrt PI) (cbrt 2)) (sqrt (+ a b))) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (sqrt PI) (cbrt 2)) (+ a b)) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (sqrt PI) (cbrt 2)) (+ a b)) (/ (/ (sqrt PI) (sqrt 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt PI) (sqrt 2)) (cbrt (+ a b))) (/ (/ (sqrt PI) (sqrt 2)) (sqrt (+ a b))) (/ (/ (sqrt PI) (sqrt 2)) (sqrt (+ a b))) (/ (/ (sqrt PI) (sqrt 2)) 1) (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) (/ (/ (sqrt PI) (sqrt 2)) 1) (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) (/ (/ (sqrt PI) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt PI) 2) (cbrt (+ a b))) (/ (/ (sqrt PI) 1) (sqrt (+ a b))) (/ (/ (sqrt PI) 2) (sqrt (+ a b))) (/ (/ (sqrt PI) 1) 1) (/ (/ (sqrt PI) 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[simplify]: Extracting #3: cost 5035 inf + 34717 69.770 * * [simplify]: Extracting #4: cost 4309 inf + 294160 69.908 * * [simplify]: Extracting #5: cost 2645 inf + 1094948 70.215 * * [simplify]: Extracting #6: cost 815 inf + 2095861 70.517 * * [simplify]: Extracting #7: cost 233 inf + 2443327 70.855 * * [simplify]: Extracting #8: cost 6 inf + 2562403 71.177 * * [simplify]: Extracting #9: cost 0 inf + 2565465 71.639 * [simplify]: Simplified to: (expm1 (/ (/ PI 2) (+ a b))) (log1p (/ (/ PI 2) (+ a b))) (- (- (log PI) (log 2)) (log (+ a b))) (- (log (/ PI 2)) (log (+ a b))) (log (/ (/ PI 2) (+ a b))) (exp (/ (/ PI 2) (+ a b))) (/ (/ (* (* PI PI) PI) (* (* 2 2) 2)) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (cbrt (/ (/ PI 2) (+ a b))) (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) (sqrt (/ (/ PI 2) (+ a b))) (sqrt (/ (/ PI 2) (+ a b))) (- (/ PI 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a)) (/ (/ (cbrt PI) (sqrt 2)) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ (cbrt PI) (sqrt 2)) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ (cbrt PI) (sqrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (cbrt PI) (sqrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (cbrt PI) 2) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ (cbrt PI) 2) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ (cbrt PI) 2) (+ a b))) (/ (* b (- b a)) (/ (/ (cbrt PI) 2) (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) (cbrt 2)) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ (sqrt PI) (cbrt 2)) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ (sqrt PI) (cbrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) (cbrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) (sqrt 2)) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ (sqrt PI) (sqrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) (sqrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) 2) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ (sqrt PI) 2) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ (sqrt PI) 2) (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) 2) (+ a b))) (/ (* b (- b a)) (/ (/ PI (cbrt 2)) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI (cbrt 2)) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI (cbrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ PI (cbrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ PI (sqrt 2)) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI (sqrt 2)) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI (sqrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ PI (sqrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ PI 2) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI 2) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI 2) (+ a b))) (/ (* b (- b a)) (/ (/ PI 2) (+ a b))) (/ (* b (- b a)) (/ (/ PI 2) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI 2) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI 2) (+ a b))) (/ (* b (- b a)) (/ (/ PI 2) (+ a b))) (/ (* b (- b a)) (/ (/ 1 2) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ 1 2) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ 1 2) (+ a b))) (/ (* b (- b a)) (/ (/ 1 2) (+ a b))) (/ (* b (- b a)) (/ (/ PI 2) (+ a b))) (/ (* b (- b a)) (/ 1 (+ a b))) (/ (* b (- b a)) (+ (* a a) (- (* b b) (* a b)))) (/ (* b (- b a)) (- a b)) (/ (/ (/ PI 2) (+ a b)) (* b (- (pow b 3) (pow a 3)))) (/ (/ (/ PI 2) (+ a b)) (* b (- (* b b) (* a a)))) (* (* b (- b a)) (+ a b)) (real->posit16 (/ (/ (/ PI 2) (+ a b)) (* b (- b a)))) 0 0 0 0 0 0 0 0 0 0 0 0 72.909 * * * [progress]: adding candidates to table 136.287 * * [progress]: iteration 4 / 4 136.287 * * * [progress]: picking best candidate 136.332 * * * * [pick]: Picked # 136.332 * * * [progress]: localizing error 136.399 * * * [progress]: generating rewritten candidates 136.399 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 136.418 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 136.430 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 136.442 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 136.492 * * * [progress]: generating series expansions 136.492 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 136.493 * [backup-simplify]: Simplify (/ 1 (/ a (/ 1 (- b a)))) into (/ 1 (* a (- b a))) 136.493 * [approximate]: Taking taylor expansion of (/ 1 (* a (- b a))) in (a b) around 0 136.493 * [taylor]: Taking taylor expansion of (/ 1 (* a (- b a))) in b 136.493 * [taylor]: Taking taylor expansion of (* a (- b a)) in b 136.493 * [taylor]: Taking taylor expansion of a in b 136.493 * [backup-simplify]: Simplify a into a 136.493 * [taylor]: Taking taylor expansion of (- b a) in b 136.493 * [taylor]: Taking taylor expansion of b in b 136.493 * [backup-simplify]: Simplify 0 into 0 136.493 * [backup-simplify]: Simplify 1 into 1 136.493 * [taylor]: Taking taylor expansion of a in b 136.493 * [backup-simplify]: Simplify a into a 136.493 * [backup-simplify]: Simplify (- a) into (- a) 136.493 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 136.493 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 136.493 * [backup-simplify]: Simplify (/ 1 (* -1 (pow a 2))) into (/ -1 (pow a 2)) 136.493 * [taylor]: Taking taylor expansion of (/ 1 (* a (- b a))) in a 136.493 * [taylor]: Taking taylor expansion of (* a (- b a)) in a 136.493 * [taylor]: Taking taylor expansion of a in a 136.494 * [backup-simplify]: Simplify 0 into 0 136.494 * [backup-simplify]: Simplify 1 into 1 136.494 * [taylor]: Taking taylor expansion of (- b a) in a 136.494 * [taylor]: Taking taylor expansion of b in a 136.494 * [backup-simplify]: Simplify b into b 136.494 * [taylor]: Taking taylor expansion of a in a 136.494 * [backup-simplify]: Simplify 0 into 0 136.494 * [backup-simplify]: Simplify 1 into 1 136.495 * [backup-simplify]: Simplify (- 0) into 0 136.495 * [backup-simplify]: Simplify (+ b 0) into b 136.495 * [backup-simplify]: Simplify (* 0 b) into 0 136.495 * [backup-simplify]: Simplify (- 1) into -1 136.495 * [backup-simplify]: Simplify (+ 0 -1) into -1 136.496 * [backup-simplify]: Simplify (+ (* 0 -1) (* 1 b)) into b 136.496 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.496 * [taylor]: Taking taylor expansion of (/ 1 (* a (- b a))) in a 136.496 * [taylor]: Taking taylor expansion of (* a (- b a)) in a 136.496 * [taylor]: Taking taylor expansion of a in a 136.496 * [backup-simplify]: Simplify 0 into 0 136.496 * [backup-simplify]: Simplify 1 into 1 136.496 * [taylor]: Taking taylor expansion of (- b a) in a 136.496 * [taylor]: Taking taylor expansion of b in a 136.496 * [backup-simplify]: Simplify b into b 136.496 * [taylor]: Taking taylor expansion of a in a 136.496 * [backup-simplify]: Simplify 0 into 0 136.496 * [backup-simplify]: Simplify 1 into 1 136.497 * [backup-simplify]: Simplify (- 0) into 0 136.497 * [backup-simplify]: Simplify (+ b 0) into b 136.497 * [backup-simplify]: Simplify (* 0 b) into 0 136.497 * [backup-simplify]: Simplify (- 1) into -1 136.498 * [backup-simplify]: Simplify (+ 0 -1) into -1 136.498 * [backup-simplify]: Simplify (+ (* 0 -1) (* 1 b)) into b 136.498 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.498 * [taylor]: Taking taylor expansion of (/ 1 b) in b 136.498 * [taylor]: Taking taylor expansion of b in b 136.498 * [backup-simplify]: Simplify 0 into 0 136.498 * [backup-simplify]: Simplify 1 into 1 136.499 * [backup-simplify]: Simplify (/ 1 1) into 1 136.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.499 * [backup-simplify]: Simplify 0 into 0 136.500 * [backup-simplify]: Simplify (- 0) into 0 136.500 * [backup-simplify]: Simplify (+ 0 0) into 0 136.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 -1) (* 0 b))) into (- 1) 136.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ (- 1) b)))) into (/ 1 (pow b 2)) 136.501 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 136.501 * [taylor]: Taking taylor expansion of (pow b 2) in b 136.502 * [taylor]: Taking taylor expansion of b in b 136.502 * [backup-simplify]: Simplify 0 into 0 136.502 * [backup-simplify]: Simplify 1 into 1 136.502 * [backup-simplify]: Simplify (* 1 1) into 1 136.502 * [backup-simplify]: Simplify (/ 1 1) into 1 136.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.505 * [backup-simplify]: Simplify 0 into 0 136.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.506 * [backup-simplify]: Simplify 0 into 0 136.507 * [backup-simplify]: Simplify (- 0) into 0 136.507 * [backup-simplify]: Simplify (+ 0 0) into 0 136.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 -1) (* 0 b)))) into 0 136.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* (/ 1 (pow b 2)) (/ (- 1) b)))) into (/ 1 (pow b 3)) 136.509 * [taylor]: Taking taylor expansion of (/ 1 (pow b 3)) in b 136.509 * [taylor]: Taking taylor expansion of (pow b 3) in b 136.509 * [taylor]: Taking taylor expansion of b in b 136.509 * [backup-simplify]: Simplify 0 into 0 136.509 * [backup-simplify]: Simplify 1 into 1 136.509 * [backup-simplify]: Simplify (* 1 1) into 1 136.510 * [backup-simplify]: Simplify (* 1 1) into 1 136.510 * [backup-simplify]: Simplify (/ 1 1) into 1 136.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.515 * [backup-simplify]: Simplify 0 into 0 136.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.516 * [backup-simplify]: Simplify 0 into 0 136.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.516 * [backup-simplify]: Simplify 0 into 0 136.517 * [backup-simplify]: Simplify 0 into 0 136.517 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 a) (/ 1 (- (/ 1 b) (/ 1 a))))) into (/ a (- (/ 1 b) (/ 1 a))) 136.517 * [approximate]: Taking taylor expansion of (/ a (- (/ 1 b) (/ 1 a))) in (a b) around 0 136.517 * [taylor]: Taking taylor expansion of (/ a (- (/ 1 b) (/ 1 a))) in b 136.517 * [taylor]: Taking taylor expansion of a in b 136.517 * [backup-simplify]: Simplify a into a 136.517 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 136.517 * [taylor]: Taking taylor expansion of (/ 1 b) in b 136.517 * [taylor]: Taking taylor expansion of b in b 136.517 * [backup-simplify]: Simplify 0 into 0 136.517 * [backup-simplify]: Simplify 1 into 1 136.517 * [backup-simplify]: Simplify (/ 1 1) into 1 136.517 * [taylor]: Taking taylor expansion of (/ 1 a) in b 136.517 * [taylor]: Taking taylor expansion of a in b 136.517 * [backup-simplify]: Simplify a into a 136.517 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 136.517 * [backup-simplify]: Simplify (+ 1 0) into 1 136.517 * [backup-simplify]: Simplify (/ a 1) into a 136.517 * [taylor]: Taking taylor expansion of (/ a (- (/ 1 b) (/ 1 a))) in a 136.518 * [taylor]: Taking taylor expansion of a in a 136.518 * [backup-simplify]: Simplify 0 into 0 136.518 * [backup-simplify]: Simplify 1 into 1 136.518 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 136.518 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.518 * [taylor]: Taking taylor expansion of b in a 136.518 * [backup-simplify]: Simplify b into b 136.518 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.518 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.518 * [taylor]: Taking taylor expansion of a in a 136.518 * [backup-simplify]: Simplify 0 into 0 136.518 * [backup-simplify]: Simplify 1 into 1 136.518 * [backup-simplify]: Simplify (/ 1 1) into 1 136.518 * [backup-simplify]: Simplify (- 1) into -1 136.518 * [backup-simplify]: Simplify (+ 0 -1) into -1 136.519 * [backup-simplify]: Simplify (/ 1 -1) into -1 136.519 * [taylor]: Taking taylor expansion of (/ a (- (/ 1 b) (/ 1 a))) in a 136.519 * [taylor]: Taking taylor expansion of a in a 136.519 * [backup-simplify]: Simplify 0 into 0 136.519 * [backup-simplify]: Simplify 1 into 1 136.519 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 136.519 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.519 * [taylor]: Taking taylor expansion of b in a 136.519 * [backup-simplify]: Simplify b into b 136.519 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.519 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.519 * [taylor]: Taking taylor expansion of a in a 136.519 * [backup-simplify]: Simplify 0 into 0 136.519 * [backup-simplify]: Simplify 1 into 1 136.519 * [backup-simplify]: Simplify (/ 1 1) into 1 136.520 * [backup-simplify]: Simplify (- 1) into -1 136.520 * [backup-simplify]: Simplify (+ 0 -1) into -1 136.520 * [backup-simplify]: Simplify (/ 1 -1) into -1 136.520 * [taylor]: Taking taylor expansion of -1 in b 136.520 * [backup-simplify]: Simplify -1 into -1 136.520 * [backup-simplify]: Simplify 0 into 0 136.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.521 * [backup-simplify]: Simplify (- 0) into 0 136.521 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 136.521 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (/ 1 b) -1)))) into (- (/ 1 b)) 136.521 * [taylor]: Taking taylor expansion of (- (/ 1 b)) in b 136.522 * [taylor]: Taking taylor expansion of (/ 1 b) in b 136.522 * [taylor]: Taking taylor expansion of b in b 136.522 * [backup-simplify]: Simplify 0 into 0 136.522 * [backup-simplify]: Simplify 1 into 1 136.522 * [backup-simplify]: Simplify (/ 1 1) into 1 136.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.523 * [backup-simplify]: Simplify (- 0) into 0 136.523 * [backup-simplify]: Simplify 0 into 0 136.523 * [backup-simplify]: Simplify 0 into 0 136.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 136.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.524 * [backup-simplify]: Simplify (- 0) into 0 136.525 * [backup-simplify]: Simplify (+ 0 0) into 0 136.534 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (/ 1 b)) (/ (/ 1 b) -1)))) into (- (/ 1 (pow b 2))) 136.534 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 136.534 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 136.534 * [taylor]: Taking taylor expansion of (pow b 2) in b 136.534 * [taylor]: Taking taylor expansion of b in b 136.534 * [backup-simplify]: Simplify 0 into 0 136.534 * [backup-simplify]: Simplify 1 into 1 136.534 * [backup-simplify]: Simplify (* 1 1) into 1 136.534 * [backup-simplify]: Simplify (/ 1 1) into 1 136.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.540 * [backup-simplify]: Simplify (- 0) into 0 136.540 * [backup-simplify]: Simplify 0 into 0 136.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.541 * [backup-simplify]: Simplify (- 0) into 0 136.541 * [backup-simplify]: Simplify 0 into 0 136.541 * [backup-simplify]: Simplify 0 into 0 136.541 * [backup-simplify]: Simplify 0 into 0 136.541 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- a)) (/ 1 (- (/ 1 (- b)) (/ 1 (- a)))))) into (* -1 (/ a (- (/ 1 a) (/ 1 b)))) 136.541 * [approximate]: Taking taylor expansion of (* -1 (/ a (- (/ 1 a) (/ 1 b)))) in (a b) around 0 136.541 * [taylor]: Taking taylor expansion of (* -1 (/ a (- (/ 1 a) (/ 1 b)))) in b 136.541 * [taylor]: Taking taylor expansion of -1 in b 136.541 * [backup-simplify]: Simplify -1 into -1 136.541 * [taylor]: Taking taylor expansion of (/ a (- (/ 1 a) (/ 1 b))) in b 136.541 * [taylor]: Taking taylor expansion of a in b 136.541 * [backup-simplify]: Simplify a into a 136.541 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 136.541 * [taylor]: Taking taylor expansion of (/ 1 a) in b 136.541 * [taylor]: Taking taylor expansion of a in b 136.541 * [backup-simplify]: Simplify a into a 136.541 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 136.541 * [taylor]: Taking taylor expansion of (/ 1 b) in b 136.541 * [taylor]: Taking taylor expansion of b in b 136.541 * [backup-simplify]: Simplify 0 into 0 136.541 * [backup-simplify]: Simplify 1 into 1 136.542 * [backup-simplify]: Simplify (/ 1 1) into 1 136.542 * [backup-simplify]: Simplify (- 1) into -1 136.542 * [backup-simplify]: Simplify (+ 0 -1) into -1 136.542 * [backup-simplify]: Simplify (/ a -1) into (* -1 a) 136.542 * [taylor]: Taking taylor expansion of (* -1 (/ a (- (/ 1 a) (/ 1 b)))) in a 136.542 * [taylor]: Taking taylor expansion of -1 in a 136.542 * [backup-simplify]: Simplify -1 into -1 136.542 * [taylor]: Taking taylor expansion of (/ a (- (/ 1 a) (/ 1 b))) in a 136.542 * [taylor]: Taking taylor expansion of a in a 136.543 * [backup-simplify]: Simplify 0 into 0 136.543 * [backup-simplify]: Simplify 1 into 1 136.543 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 136.543 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.543 * [taylor]: Taking taylor expansion of a in a 136.543 * [backup-simplify]: Simplify 0 into 0 136.543 * [backup-simplify]: Simplify 1 into 1 136.543 * [backup-simplify]: Simplify (/ 1 1) into 1 136.543 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.543 * [taylor]: Taking taylor expansion of b in a 136.543 * [backup-simplify]: Simplify b into b 136.543 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.543 * [backup-simplify]: Simplify (+ 1 0) into 1 136.544 * [backup-simplify]: Simplify (/ 1 1) into 1 136.544 * [taylor]: Taking taylor expansion of (* -1 (/ a (- (/ 1 a) (/ 1 b)))) in a 136.544 * [taylor]: Taking taylor expansion of -1 in a 136.544 * [backup-simplify]: Simplify -1 into -1 136.544 * [taylor]: Taking taylor expansion of (/ a (- (/ 1 a) (/ 1 b))) in a 136.544 * [taylor]: Taking taylor expansion of a in a 136.544 * [backup-simplify]: Simplify 0 into 0 136.544 * [backup-simplify]: Simplify 1 into 1 136.544 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 136.544 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.544 * [taylor]: Taking taylor expansion of a in a 136.544 * [backup-simplify]: Simplify 0 into 0 136.544 * [backup-simplify]: Simplify 1 into 1 136.544 * [backup-simplify]: Simplify (/ 1 1) into 1 136.544 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.544 * [taylor]: Taking taylor expansion of b in a 136.544 * [backup-simplify]: Simplify b into b 136.544 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.545 * [backup-simplify]: Simplify (+ 1 0) into 1 136.545 * [backup-simplify]: Simplify (/ 1 1) into 1 136.545 * [backup-simplify]: Simplify (* -1 1) into -1 136.546 * [taylor]: Taking taylor expansion of -1 in b 136.546 * [backup-simplify]: Simplify -1 into -1 136.546 * [backup-simplify]: Simplify 0 into 0 136.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.546 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 136.546 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 136.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 b)) 1)))) into (/ 1 b) 136.547 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* 0 1)) into (- (/ 1 b)) 136.547 * [taylor]: Taking taylor expansion of (- (/ 1 b)) in b 136.547 * [taylor]: Taking taylor expansion of (/ 1 b) in b 136.547 * [taylor]: Taking taylor expansion of b in b 136.547 * [backup-simplify]: Simplify 0 into 0 136.547 * [backup-simplify]: Simplify 1 into 1 136.547 * [backup-simplify]: Simplify (/ 1 1) into 1 136.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.549 * [backup-simplify]: Simplify (- 0) into 0 136.549 * [backup-simplify]: Simplify 0 into 0 136.549 * [backup-simplify]: Simplify 0 into 0 136.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 136.550 * [backup-simplify]: Simplify (- 0) into 0 136.551 * [backup-simplify]: Simplify (+ 0 0) into 0 136.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 b) (/ (- (/ 1 b)) 1)))) into (/ 1 (pow b 2)) 136.552 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow b 2))) (+ (* 0 (/ 1 b)) (* 0 1))) into (- (/ 1 (pow b 2))) 136.552 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 136.553 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 136.553 * [taylor]: Taking taylor expansion of (pow b 2) in b 136.553 * [taylor]: Taking taylor expansion of b in b 136.553 * [backup-simplify]: Simplify 0 into 0 136.553 * [backup-simplify]: Simplify 1 into 1 136.553 * [backup-simplify]: Simplify (* 1 1) into 1 136.553 * [backup-simplify]: Simplify (/ 1 1) into 1 136.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.559 * [backup-simplify]: Simplify (- 0) into 0 136.559 * [backup-simplify]: Simplify 0 into 0 136.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.560 * [backup-simplify]: Simplify (- 0) into 0 136.560 * [backup-simplify]: Simplify 0 into 0 136.560 * [backup-simplify]: Simplify 0 into 0 136.560 * [backup-simplify]: Simplify 0 into 0 136.560 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 136.561 * [backup-simplify]: Simplify (/ (/ PI 2) (+ a b)) into (* 1/2 (/ PI (+ a b))) 136.561 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 136.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 136.561 * [taylor]: Taking taylor expansion of 1/2 in b 136.561 * [backup-simplify]: Simplify 1/2 into 1/2 136.561 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 136.561 * [taylor]: Taking taylor expansion of PI in b 136.561 * [backup-simplify]: Simplify PI into PI 136.561 * [taylor]: Taking taylor expansion of (+ a b) in b 136.561 * [taylor]: Taking taylor expansion of a in b 136.561 * [backup-simplify]: Simplify a into a 136.561 * [taylor]: Taking taylor expansion of b in b 136.561 * [backup-simplify]: Simplify 0 into 0 136.561 * [backup-simplify]: Simplify 1 into 1 136.561 * [backup-simplify]: Simplify (+ a 0) into a 136.561 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 136.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 136.561 * [taylor]: Taking taylor expansion of 1/2 in a 136.561 * [backup-simplify]: Simplify 1/2 into 1/2 136.561 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 136.561 * [taylor]: Taking taylor expansion of PI in a 136.561 * [backup-simplify]: Simplify PI into PI 136.562 * [taylor]: Taking taylor expansion of (+ a b) in a 136.562 * [taylor]: Taking taylor expansion of a in a 136.562 * [backup-simplify]: Simplify 0 into 0 136.562 * [backup-simplify]: Simplify 1 into 1 136.562 * [taylor]: Taking taylor expansion of b in a 136.562 * [backup-simplify]: Simplify b into b 136.562 * [backup-simplify]: Simplify (+ 0 b) into b 136.562 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 136.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 136.562 * [taylor]: Taking taylor expansion of 1/2 in a 136.562 * [backup-simplify]: Simplify 1/2 into 1/2 136.562 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 136.562 * [taylor]: Taking taylor expansion of PI in a 136.562 * [backup-simplify]: Simplify PI into PI 136.562 * [taylor]: Taking taylor expansion of (+ a b) in a 136.562 * [taylor]: Taking taylor expansion of a in a 136.562 * [backup-simplify]: Simplify 0 into 0 136.562 * [backup-simplify]: Simplify 1 into 1 136.562 * [taylor]: Taking taylor expansion of b in a 136.562 * [backup-simplify]: Simplify b into b 136.562 * [backup-simplify]: Simplify (+ 0 b) into b 136.562 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 136.562 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 136.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 136.562 * [taylor]: Taking taylor expansion of 1/2 in b 136.562 * [backup-simplify]: Simplify 1/2 into 1/2 136.562 * [taylor]: Taking taylor expansion of (/ PI b) in b 136.562 * [taylor]: Taking taylor expansion of PI in b 136.562 * [backup-simplify]: Simplify PI into PI 136.562 * [taylor]: Taking taylor expansion of b in b 136.563 * [backup-simplify]: Simplify 0 into 0 136.563 * [backup-simplify]: Simplify 1 into 1 136.563 * [backup-simplify]: Simplify (/ PI 1) into PI 136.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 136.565 * [backup-simplify]: Simplify 0 into 0 136.565 * [backup-simplify]: Simplify (+ 1 0) into 1 136.565 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 136.566 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 136.566 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 136.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 136.566 * [taylor]: Taking taylor expansion of 1/2 in b 136.566 * [backup-simplify]: Simplify 1/2 into 1/2 136.566 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 136.566 * [taylor]: Taking taylor expansion of PI in b 136.566 * [backup-simplify]: Simplify PI into PI 136.566 * [taylor]: Taking taylor expansion of (pow b 2) in b 136.566 * [taylor]: Taking taylor expansion of b in b 136.566 * [backup-simplify]: Simplify 0 into 0 136.566 * [backup-simplify]: Simplify 1 into 1 136.566 * [backup-simplify]: Simplify (* 1 1) into 1 136.567 * [backup-simplify]: Simplify (/ PI 1) into PI 136.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 136.571 * [backup-simplify]: Simplify (- 0) into 0 136.571 * [backup-simplify]: Simplify 0 into 0 136.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 136.574 * [backup-simplify]: Simplify 0 into 0 136.574 * [backup-simplify]: Simplify (+ 0 0) into 0 136.575 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 136.575 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 136.575 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 136.575 * [taylor]: Taking taylor expansion of 1/2 in b 136.575 * [backup-simplify]: Simplify 1/2 into 1/2 136.575 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 136.575 * [taylor]: Taking taylor expansion of PI in b 136.575 * [backup-simplify]: Simplify PI into PI 136.575 * [taylor]: Taking taylor expansion of (pow b 3) in b 136.575 * [taylor]: Taking taylor expansion of b in b 136.575 * [backup-simplify]: Simplify 0 into 0 136.575 * [backup-simplify]: Simplify 1 into 1 136.576 * [backup-simplify]: Simplify (* 1 1) into 1 136.576 * [backup-simplify]: Simplify (* 1 1) into 1 136.576 * [backup-simplify]: Simplify (/ PI 1) into PI 136.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.586 * [backup-simplify]: Simplify 0 into 0 136.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.589 * [backup-simplify]: Simplify (- 0) into 0 136.589 * [backup-simplify]: Simplify 0 into 0 136.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.591 * [backup-simplify]: Simplify 0 into 0 136.591 * [backup-simplify]: Simplify 0 into 0 136.592 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 136.592 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 136.592 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 136.592 * [taylor]: Taking taylor expansion of 1/2 in b 136.592 * [backup-simplify]: Simplify 1/2 into 1/2 136.592 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 136.592 * [taylor]: Taking taylor expansion of PI in b 136.592 * [backup-simplify]: Simplify PI into PI 136.592 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 136.592 * [taylor]: Taking taylor expansion of (/ 1 a) in b 136.592 * [taylor]: Taking taylor expansion of a in b 136.592 * [backup-simplify]: Simplify a into a 136.592 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 136.592 * [taylor]: Taking taylor expansion of (/ 1 b) in b 136.592 * [taylor]: Taking taylor expansion of b in b 136.592 * [backup-simplify]: Simplify 0 into 0 136.592 * [backup-simplify]: Simplify 1 into 1 136.593 * [backup-simplify]: Simplify (/ 1 1) into 1 136.593 * [backup-simplify]: Simplify (+ 0 1) into 1 136.594 * [backup-simplify]: Simplify (/ PI 1) into PI 136.594 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 136.594 * [taylor]: Taking taylor expansion of 1/2 in a 136.594 * [backup-simplify]: Simplify 1/2 into 1/2 136.594 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 136.594 * [taylor]: Taking taylor expansion of PI in a 136.594 * [backup-simplify]: Simplify PI into PI 136.594 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 136.594 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.594 * [taylor]: Taking taylor expansion of a in a 136.594 * [backup-simplify]: Simplify 0 into 0 136.594 * [backup-simplify]: Simplify 1 into 1 136.594 * [backup-simplify]: Simplify (/ 1 1) into 1 136.594 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.594 * [taylor]: Taking taylor expansion of b in a 136.595 * [backup-simplify]: Simplify b into b 136.595 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.595 * [backup-simplify]: Simplify (+ 1 0) into 1 136.595 * [backup-simplify]: Simplify (/ PI 1) into PI 136.595 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 136.596 * [taylor]: Taking taylor expansion of 1/2 in a 136.596 * [backup-simplify]: Simplify 1/2 into 1/2 136.596 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 136.596 * [taylor]: Taking taylor expansion of PI in a 136.596 * [backup-simplify]: Simplify PI into PI 136.596 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 136.596 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.596 * [taylor]: Taking taylor expansion of a in a 136.596 * [backup-simplify]: Simplify 0 into 0 136.596 * [backup-simplify]: Simplify 1 into 1 136.596 * [backup-simplify]: Simplify (/ 1 1) into 1 136.596 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.596 * [taylor]: Taking taylor expansion of b in a 136.596 * [backup-simplify]: Simplify b into b 136.596 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.597 * [backup-simplify]: Simplify (+ 1 0) into 1 136.597 * [backup-simplify]: Simplify (/ PI 1) into PI 136.598 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 136.598 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 136.598 * [taylor]: Taking taylor expansion of 1/2 in b 136.598 * [backup-simplify]: Simplify 1/2 into 1/2 136.598 * [taylor]: Taking taylor expansion of PI in b 136.598 * [backup-simplify]: Simplify PI into PI 136.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 136.599 * [backup-simplify]: Simplify 0 into 0 136.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.600 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 136.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 136.601 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 136.601 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 136.601 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 136.601 * [taylor]: Taking taylor expansion of 1/2 in b 136.601 * [backup-simplify]: Simplify 1/2 into 1/2 136.601 * [taylor]: Taking taylor expansion of (/ PI b) in b 136.601 * [taylor]: Taking taylor expansion of PI in b 136.601 * [backup-simplify]: Simplify PI into PI 136.601 * [taylor]: Taking taylor expansion of b in b 136.601 * [backup-simplify]: Simplify 0 into 0 136.601 * [backup-simplify]: Simplify 1 into 1 136.601 * [backup-simplify]: Simplify (/ PI 1) into PI 136.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 136.604 * [backup-simplify]: Simplify (- 0) into 0 136.604 * [backup-simplify]: Simplify 0 into 0 136.604 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 136.604 * [backup-simplify]: Simplify 0 into 0 136.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 136.605 * [backup-simplify]: Simplify (+ 0 0) into 0 136.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 136.606 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 136.606 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 136.606 * [taylor]: Taking taylor expansion of 1/2 in b 136.606 * [backup-simplify]: Simplify 1/2 into 1/2 136.606 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 136.607 * [taylor]: Taking taylor expansion of PI in b 136.607 * [backup-simplify]: Simplify PI into PI 136.607 * [taylor]: Taking taylor expansion of (pow b 2) in b 136.607 * [taylor]: Taking taylor expansion of b in b 136.607 * [backup-simplify]: Simplify 0 into 0 136.607 * [backup-simplify]: Simplify 1 into 1 136.607 * [backup-simplify]: Simplify (* 1 1) into 1 136.607 * [backup-simplify]: Simplify (/ PI 1) into PI 136.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.611 * [backup-simplify]: Simplify 0 into 0 136.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.613 * [backup-simplify]: Simplify (- 0) into 0 136.613 * [backup-simplify]: Simplify 0 into 0 136.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.613 * [backup-simplify]: Simplify 0 into 0 136.613 * [backup-simplify]: Simplify 0 into 0 136.614 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 136.614 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 136.614 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 136.614 * [taylor]: Taking taylor expansion of -1/2 in b 136.614 * [backup-simplify]: Simplify -1/2 into -1/2 136.614 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 136.614 * [taylor]: Taking taylor expansion of PI in b 136.614 * [backup-simplify]: Simplify PI into PI 136.614 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 136.614 * [taylor]: Taking taylor expansion of (/ 1 a) in b 136.614 * [taylor]: Taking taylor expansion of a in b 136.614 * [backup-simplify]: Simplify a into a 136.614 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 136.614 * [taylor]: Taking taylor expansion of (/ 1 b) in b 136.614 * [taylor]: Taking taylor expansion of b in b 136.614 * [backup-simplify]: Simplify 0 into 0 136.614 * [backup-simplify]: Simplify 1 into 1 136.614 * [backup-simplify]: Simplify (/ 1 1) into 1 136.615 * [backup-simplify]: Simplify (+ 0 1) into 1 136.615 * [backup-simplify]: Simplify (/ PI 1) into PI 136.615 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 136.615 * [taylor]: Taking taylor expansion of -1/2 in a 136.615 * [backup-simplify]: Simplify -1/2 into -1/2 136.615 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 136.615 * [taylor]: Taking taylor expansion of PI in a 136.615 * [backup-simplify]: Simplify PI into PI 136.615 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 136.615 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.615 * [taylor]: Taking taylor expansion of a in a 136.615 * [backup-simplify]: Simplify 0 into 0 136.615 * [backup-simplify]: Simplify 1 into 1 136.615 * [backup-simplify]: Simplify (/ 1 1) into 1 136.615 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.615 * [taylor]: Taking taylor expansion of b in a 136.616 * [backup-simplify]: Simplify b into b 136.616 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.616 * [backup-simplify]: Simplify (+ 1 0) into 1 136.616 * [backup-simplify]: Simplify (/ PI 1) into PI 136.616 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 136.616 * [taylor]: Taking taylor expansion of -1/2 in a 136.616 * [backup-simplify]: Simplify -1/2 into -1/2 136.616 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 136.616 * [taylor]: Taking taylor expansion of PI in a 136.616 * [backup-simplify]: Simplify PI into PI 136.616 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 136.616 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.616 * [taylor]: Taking taylor expansion of a in a 136.616 * [backup-simplify]: Simplify 0 into 0 136.616 * [backup-simplify]: Simplify 1 into 1 136.617 * [backup-simplify]: Simplify (/ 1 1) into 1 136.617 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.617 * [taylor]: Taking taylor expansion of b in a 136.617 * [backup-simplify]: Simplify b into b 136.617 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.617 * [backup-simplify]: Simplify (+ 1 0) into 1 136.617 * [backup-simplify]: Simplify (/ PI 1) into PI 136.618 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 136.618 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 136.618 * [taylor]: Taking taylor expansion of -1/2 in b 136.618 * [backup-simplify]: Simplify -1/2 into -1/2 136.618 * [taylor]: Taking taylor expansion of PI in b 136.618 * [backup-simplify]: Simplify PI into PI 136.618 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 136.618 * [backup-simplify]: Simplify 0 into 0 136.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.619 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 136.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 136.619 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 136.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 136.619 * [taylor]: Taking taylor expansion of 1/2 in b 136.619 * [backup-simplify]: Simplify 1/2 into 1/2 136.619 * [taylor]: Taking taylor expansion of (/ PI b) in b 136.619 * [taylor]: Taking taylor expansion of PI in b 136.619 * [backup-simplify]: Simplify PI into PI 136.620 * [taylor]: Taking taylor expansion of b in b 136.620 * [backup-simplify]: Simplify 0 into 0 136.620 * [backup-simplify]: Simplify 1 into 1 136.620 * [backup-simplify]: Simplify (/ PI 1) into PI 136.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 136.622 * [backup-simplify]: Simplify 0 into 0 136.622 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 136.622 * [backup-simplify]: Simplify 0 into 0 136.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 136.623 * [backup-simplify]: Simplify (+ 0 0) into 0 136.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 136.625 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 136.625 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 136.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 136.625 * [taylor]: Taking taylor expansion of 1/2 in b 136.625 * [backup-simplify]: Simplify 1/2 into 1/2 136.625 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 136.625 * [taylor]: Taking taylor expansion of PI in b 136.625 * [backup-simplify]: Simplify PI into PI 136.625 * [taylor]: Taking taylor expansion of (pow b 2) in b 136.625 * [taylor]: Taking taylor expansion of b in b 136.625 * [backup-simplify]: Simplify 0 into 0 136.625 * [backup-simplify]: Simplify 1 into 1 136.625 * [backup-simplify]: Simplify (* 1 1) into 1 136.625 * [backup-simplify]: Simplify (/ PI 1) into PI 136.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.629 * [backup-simplify]: Simplify (- 0) into 0 136.629 * [backup-simplify]: Simplify 0 into 0 136.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.631 * [backup-simplify]: Simplify 0 into 0 136.632 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.632 * [backup-simplify]: Simplify 0 into 0 136.632 * [backup-simplify]: Simplify 0 into 0 136.632 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 136.632 * [backup-simplify]: Simplify (/ (/ PI 2) (+ a b)) into (* 1/2 (/ PI (+ a b))) 136.632 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 136.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 136.632 * [taylor]: Taking taylor expansion of 1/2 in b 136.632 * [backup-simplify]: Simplify 1/2 into 1/2 136.632 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 136.632 * [taylor]: Taking taylor expansion of PI in b 136.632 * [backup-simplify]: Simplify PI into PI 136.632 * [taylor]: Taking taylor expansion of (+ a b) in b 136.632 * [taylor]: Taking taylor expansion of a in b 136.632 * [backup-simplify]: Simplify a into a 136.632 * [taylor]: Taking taylor expansion of b in b 136.632 * [backup-simplify]: Simplify 0 into 0 136.632 * [backup-simplify]: Simplify 1 into 1 136.632 * [backup-simplify]: Simplify (+ a 0) into a 136.632 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 136.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 136.632 * [taylor]: Taking taylor expansion of 1/2 in a 136.632 * [backup-simplify]: Simplify 1/2 into 1/2 136.632 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 136.632 * [taylor]: Taking taylor expansion of PI in a 136.632 * [backup-simplify]: Simplify PI into PI 136.632 * [taylor]: Taking taylor expansion of (+ a b) in a 136.632 * [taylor]: Taking taylor expansion of a in a 136.632 * [backup-simplify]: Simplify 0 into 0 136.632 * [backup-simplify]: Simplify 1 into 1 136.632 * [taylor]: Taking taylor expansion of b in a 136.632 * [backup-simplify]: Simplify b into b 136.632 * [backup-simplify]: Simplify (+ 0 b) into b 136.633 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 136.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 136.633 * [taylor]: Taking taylor expansion of 1/2 in a 136.633 * [backup-simplify]: Simplify 1/2 into 1/2 136.633 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 136.633 * [taylor]: Taking taylor expansion of PI in a 136.633 * [backup-simplify]: Simplify PI into PI 136.633 * [taylor]: Taking taylor expansion of (+ a b) in a 136.633 * [taylor]: Taking taylor expansion of a in a 136.633 * [backup-simplify]: Simplify 0 into 0 136.633 * [backup-simplify]: Simplify 1 into 1 136.633 * [taylor]: Taking taylor expansion of b in a 136.633 * [backup-simplify]: Simplify b into b 136.633 * [backup-simplify]: Simplify (+ 0 b) into b 136.633 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 136.633 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 136.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 136.633 * [taylor]: Taking taylor expansion of 1/2 in b 136.633 * [backup-simplify]: Simplify 1/2 into 1/2 136.633 * [taylor]: Taking taylor expansion of (/ PI b) in b 136.633 * [taylor]: Taking taylor expansion of PI in b 136.633 * [backup-simplify]: Simplify PI into PI 136.633 * [taylor]: Taking taylor expansion of b in b 136.633 * [backup-simplify]: Simplify 0 into 0 136.633 * [backup-simplify]: Simplify 1 into 1 136.633 * [backup-simplify]: Simplify (/ PI 1) into PI 136.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 136.634 * [backup-simplify]: Simplify 0 into 0 136.635 * [backup-simplify]: Simplify (+ 1 0) into 1 136.635 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 136.635 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 136.635 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 136.635 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 136.635 * [taylor]: Taking taylor expansion of 1/2 in b 136.635 * [backup-simplify]: Simplify 1/2 into 1/2 136.635 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 136.635 * [taylor]: Taking taylor expansion of PI in b 136.635 * [backup-simplify]: Simplify PI into PI 136.635 * [taylor]: Taking taylor expansion of (pow b 2) in b 136.635 * [taylor]: Taking taylor expansion of b in b 136.635 * [backup-simplify]: Simplify 0 into 0 136.635 * [backup-simplify]: Simplify 1 into 1 136.635 * [backup-simplify]: Simplify (* 1 1) into 1 136.636 * [backup-simplify]: Simplify (/ PI 1) into PI 136.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 136.639 * [backup-simplify]: Simplify (- 0) into 0 136.639 * [backup-simplify]: Simplify 0 into 0 136.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 136.640 * [backup-simplify]: Simplify 0 into 0 136.640 * [backup-simplify]: Simplify (+ 0 0) into 0 136.640 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 136.640 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 136.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 136.641 * [taylor]: Taking taylor expansion of 1/2 in b 136.641 * [backup-simplify]: Simplify 1/2 into 1/2 136.641 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 136.641 * [taylor]: Taking taylor expansion of PI in b 136.641 * [backup-simplify]: Simplify PI into PI 136.641 * [taylor]: Taking taylor expansion of (pow b 3) in b 136.641 * [taylor]: Taking taylor expansion of b in b 136.641 * [backup-simplify]: Simplify 0 into 0 136.641 * [backup-simplify]: Simplify 1 into 1 136.641 * [backup-simplify]: Simplify (* 1 1) into 1 136.641 * [backup-simplify]: Simplify (* 1 1) into 1 136.641 * [backup-simplify]: Simplify (/ PI 1) into PI 136.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.651 * [backup-simplify]: Simplify 0 into 0 136.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.653 * [backup-simplify]: Simplify (- 0) into 0 136.653 * [backup-simplify]: Simplify 0 into 0 136.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.655 * [backup-simplify]: Simplify 0 into 0 136.655 * [backup-simplify]: Simplify 0 into 0 136.655 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 136.655 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 136.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 136.655 * [taylor]: Taking taylor expansion of 1/2 in b 136.655 * [backup-simplify]: Simplify 1/2 into 1/2 136.655 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 136.655 * [taylor]: Taking taylor expansion of PI in b 136.655 * [backup-simplify]: Simplify PI into PI 136.655 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 136.655 * [taylor]: Taking taylor expansion of (/ 1 a) in b 136.655 * [taylor]: Taking taylor expansion of a in b 136.655 * [backup-simplify]: Simplify a into a 136.655 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 136.655 * [taylor]: Taking taylor expansion of (/ 1 b) in b 136.655 * [taylor]: Taking taylor expansion of b in b 136.655 * [backup-simplify]: Simplify 0 into 0 136.655 * [backup-simplify]: Simplify 1 into 1 136.656 * [backup-simplify]: Simplify (/ 1 1) into 1 136.656 * [backup-simplify]: Simplify (+ 0 1) into 1 136.656 * [backup-simplify]: Simplify (/ PI 1) into PI 136.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 136.656 * [taylor]: Taking taylor expansion of 1/2 in a 136.656 * [backup-simplify]: Simplify 1/2 into 1/2 136.656 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 136.656 * [taylor]: Taking taylor expansion of PI in a 136.656 * [backup-simplify]: Simplify PI into PI 136.656 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 136.656 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.656 * [taylor]: Taking taylor expansion of a in a 136.656 * [backup-simplify]: Simplify 0 into 0 136.656 * [backup-simplify]: Simplify 1 into 1 136.656 * [backup-simplify]: Simplify (/ 1 1) into 1 136.657 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.657 * [taylor]: Taking taylor expansion of b in a 136.657 * [backup-simplify]: Simplify b into b 136.657 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.657 * [backup-simplify]: Simplify (+ 1 0) into 1 136.657 * [backup-simplify]: Simplify (/ PI 1) into PI 136.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 136.657 * [taylor]: Taking taylor expansion of 1/2 in a 136.657 * [backup-simplify]: Simplify 1/2 into 1/2 136.657 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 136.657 * [taylor]: Taking taylor expansion of PI in a 136.657 * [backup-simplify]: Simplify PI into PI 136.657 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 136.657 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.657 * [taylor]: Taking taylor expansion of a in a 136.657 * [backup-simplify]: Simplify 0 into 0 136.657 * [backup-simplify]: Simplify 1 into 1 136.658 * [backup-simplify]: Simplify (/ 1 1) into 1 136.658 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.658 * [taylor]: Taking taylor expansion of b in a 136.658 * [backup-simplify]: Simplify b into b 136.658 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.658 * [backup-simplify]: Simplify (+ 1 0) into 1 136.658 * [backup-simplify]: Simplify (/ PI 1) into PI 136.659 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 136.659 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 136.659 * [taylor]: Taking taylor expansion of 1/2 in b 136.659 * [backup-simplify]: Simplify 1/2 into 1/2 136.659 * [taylor]: Taking taylor expansion of PI in b 136.659 * [backup-simplify]: Simplify PI into PI 136.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 136.659 * [backup-simplify]: Simplify 0 into 0 136.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.660 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 136.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 136.660 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 136.660 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 136.660 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 136.661 * [taylor]: Taking taylor expansion of 1/2 in b 136.661 * [backup-simplify]: Simplify 1/2 into 1/2 136.661 * [taylor]: Taking taylor expansion of (/ PI b) in b 136.661 * [taylor]: Taking taylor expansion of PI in b 136.661 * [backup-simplify]: Simplify PI into PI 136.661 * [taylor]: Taking taylor expansion of b in b 136.661 * [backup-simplify]: Simplify 0 into 0 136.661 * [backup-simplify]: Simplify 1 into 1 136.661 * [backup-simplify]: Simplify (/ PI 1) into PI 136.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 136.663 * [backup-simplify]: Simplify (- 0) into 0 136.663 * [backup-simplify]: Simplify 0 into 0 136.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 136.664 * [backup-simplify]: Simplify 0 into 0 136.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 136.664 * [backup-simplify]: Simplify (+ 0 0) into 0 136.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 136.666 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 136.666 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 136.666 * [taylor]: Taking taylor expansion of 1/2 in b 136.666 * [backup-simplify]: Simplify 1/2 into 1/2 136.666 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 136.666 * [taylor]: Taking taylor expansion of PI in b 136.666 * [backup-simplify]: Simplify PI into PI 136.666 * [taylor]: Taking taylor expansion of (pow b 2) in b 136.666 * [taylor]: Taking taylor expansion of b in b 136.666 * [backup-simplify]: Simplify 0 into 0 136.666 * [backup-simplify]: Simplify 1 into 1 136.666 * [backup-simplify]: Simplify (* 1 1) into 1 136.666 * [backup-simplify]: Simplify (/ PI 1) into PI 136.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.670 * [backup-simplify]: Simplify 0 into 0 136.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.672 * [backup-simplify]: Simplify (- 0) into 0 136.672 * [backup-simplify]: Simplify 0 into 0 136.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.673 * [backup-simplify]: Simplify 0 into 0 136.673 * [backup-simplify]: Simplify 0 into 0 136.673 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 136.673 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 136.673 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 136.673 * [taylor]: Taking taylor expansion of -1/2 in b 136.673 * [backup-simplify]: Simplify -1/2 into -1/2 136.673 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 136.673 * [taylor]: Taking taylor expansion of PI in b 136.673 * [backup-simplify]: Simplify PI into PI 136.673 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 136.673 * [taylor]: Taking taylor expansion of (/ 1 a) in b 136.673 * [taylor]: Taking taylor expansion of a in b 136.673 * [backup-simplify]: Simplify a into a 136.673 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 136.673 * [taylor]: Taking taylor expansion of (/ 1 b) in b 136.673 * [taylor]: Taking taylor expansion of b in b 136.673 * [backup-simplify]: Simplify 0 into 0 136.673 * [backup-simplify]: Simplify 1 into 1 136.674 * [backup-simplify]: Simplify (/ 1 1) into 1 136.674 * [backup-simplify]: Simplify (+ 0 1) into 1 136.674 * [backup-simplify]: Simplify (/ PI 1) into PI 136.674 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 136.674 * [taylor]: Taking taylor expansion of -1/2 in a 136.674 * [backup-simplify]: Simplify -1/2 into -1/2 136.674 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 136.674 * [taylor]: Taking taylor expansion of PI in a 136.675 * [backup-simplify]: Simplify PI into PI 136.675 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 136.675 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.675 * [taylor]: Taking taylor expansion of a in a 136.675 * [backup-simplify]: Simplify 0 into 0 136.675 * [backup-simplify]: Simplify 1 into 1 136.675 * [backup-simplify]: Simplify (/ 1 1) into 1 136.675 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.675 * [taylor]: Taking taylor expansion of b in a 136.675 * [backup-simplify]: Simplify b into b 136.675 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.675 * [backup-simplify]: Simplify (+ 1 0) into 1 136.676 * [backup-simplify]: Simplify (/ PI 1) into PI 136.676 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 136.676 * [taylor]: Taking taylor expansion of -1/2 in a 136.676 * [backup-simplify]: Simplify -1/2 into -1/2 136.676 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 136.676 * [taylor]: Taking taylor expansion of PI in a 136.676 * [backup-simplify]: Simplify PI into PI 136.676 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 136.676 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.676 * [taylor]: Taking taylor expansion of a in a 136.676 * [backup-simplify]: Simplify 0 into 0 136.676 * [backup-simplify]: Simplify 1 into 1 136.676 * [backup-simplify]: Simplify (/ 1 1) into 1 136.676 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.676 * [taylor]: Taking taylor expansion of b in a 136.676 * [backup-simplify]: Simplify b into b 136.676 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.676 * [backup-simplify]: Simplify (+ 1 0) into 1 136.677 * [backup-simplify]: Simplify (/ PI 1) into PI 136.677 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 136.677 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 136.677 * [taylor]: Taking taylor expansion of -1/2 in b 136.677 * [backup-simplify]: Simplify -1/2 into -1/2 136.677 * [taylor]: Taking taylor expansion of PI in b 136.677 * [backup-simplify]: Simplify PI into PI 136.678 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 136.678 * [backup-simplify]: Simplify 0 into 0 136.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.678 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 136.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 136.679 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 136.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 136.679 * [taylor]: Taking taylor expansion of 1/2 in b 136.679 * [backup-simplify]: Simplify 1/2 into 1/2 136.679 * [taylor]: Taking taylor expansion of (/ PI b) in b 136.679 * [taylor]: Taking taylor expansion of PI in b 136.679 * [backup-simplify]: Simplify PI into PI 136.679 * [taylor]: Taking taylor expansion of b in b 136.679 * [backup-simplify]: Simplify 0 into 0 136.679 * [backup-simplify]: Simplify 1 into 1 136.679 * [backup-simplify]: Simplify (/ PI 1) into PI 136.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 136.681 * [backup-simplify]: Simplify 0 into 0 136.682 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 136.682 * [backup-simplify]: Simplify 0 into 0 136.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 136.683 * [backup-simplify]: Simplify (+ 0 0) into 0 136.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 136.684 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 136.684 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 136.684 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 136.684 * [taylor]: Taking taylor expansion of 1/2 in b 136.684 * [backup-simplify]: Simplify 1/2 into 1/2 136.684 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 136.684 * [taylor]: Taking taylor expansion of PI in b 136.684 * [backup-simplify]: Simplify PI into PI 136.684 * [taylor]: Taking taylor expansion of (pow b 2) in b 136.684 * [taylor]: Taking taylor expansion of b in b 136.684 * [backup-simplify]: Simplify 0 into 0 136.684 * [backup-simplify]: Simplify 1 into 1 136.684 * [backup-simplify]: Simplify (* 1 1) into 1 136.684 * [backup-simplify]: Simplify (/ PI 1) into PI 136.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.689 * [backup-simplify]: Simplify (- 0) into 0 136.689 * [backup-simplify]: Simplify 0 into 0 136.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.690 * [backup-simplify]: Simplify 0 into 0 136.691 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.691 * [backup-simplify]: Simplify 0 into 0 136.691 * [backup-simplify]: Simplify 0 into 0 136.691 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 136.691 * [backup-simplify]: Simplify (/ (/ (/ PI 2) (+ a b)) (* b (- b a))) into (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) 136.691 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in (a b) around 0 136.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in b 136.691 * [taylor]: Taking taylor expansion of 1/2 in b 136.691 * [backup-simplify]: Simplify 1/2 into 1/2 136.691 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in b 136.691 * [taylor]: Taking taylor expansion of PI in b 136.691 * [backup-simplify]: Simplify PI into PI 136.691 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in b 136.691 * [taylor]: Taking taylor expansion of b in b 136.691 * [backup-simplify]: Simplify 0 into 0 136.692 * [backup-simplify]: Simplify 1 into 1 136.692 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 136.692 * [taylor]: Taking taylor expansion of (+ a b) in b 136.692 * [taylor]: Taking taylor expansion of a in b 136.692 * [backup-simplify]: Simplify a into a 136.692 * [taylor]: Taking taylor expansion of b in b 136.692 * [backup-simplify]: Simplify 0 into 0 136.692 * [backup-simplify]: Simplify 1 into 1 136.692 * [taylor]: Taking taylor expansion of (- b a) in b 136.692 * [taylor]: Taking taylor expansion of b in b 136.692 * [backup-simplify]: Simplify 0 into 0 136.692 * [backup-simplify]: Simplify 1 into 1 136.692 * [taylor]: Taking taylor expansion of a in b 136.692 * [backup-simplify]: Simplify a into a 136.692 * [backup-simplify]: Simplify (+ a 0) into a 136.692 * [backup-simplify]: Simplify (- a) into (- a) 136.692 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 136.692 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 136.692 * [backup-simplify]: Simplify (* 0 (* -1 (pow a 2))) into 0 136.692 * [backup-simplify]: Simplify (- 0) into 0 136.692 * [backup-simplify]: Simplify (+ 1 0) into 1 136.693 * [backup-simplify]: Simplify (+ 0 1) into 1 136.693 * [backup-simplify]: Simplify (+ (* a 1) (* 1 (- a))) into 0 136.693 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* -1 (pow a 2)))) into (- (pow a 2)) 136.693 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 136.693 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in a 136.693 * [taylor]: Taking taylor expansion of 1/2 in a 136.693 * [backup-simplify]: Simplify 1/2 into 1/2 136.693 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in a 136.693 * [taylor]: Taking taylor expansion of PI in a 136.693 * [backup-simplify]: Simplify PI into PI 136.693 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in a 136.693 * [taylor]: Taking taylor expansion of b in a 136.693 * [backup-simplify]: Simplify b into b 136.693 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 136.693 * [taylor]: Taking taylor expansion of (+ a b) in a 136.693 * [taylor]: Taking taylor expansion of a in a 136.693 * [backup-simplify]: Simplify 0 into 0 136.693 * [backup-simplify]: Simplify 1 into 1 136.694 * [taylor]: Taking taylor expansion of b in a 136.694 * [backup-simplify]: Simplify b into b 136.694 * [taylor]: Taking taylor expansion of (- b a) in a 136.694 * [taylor]: Taking taylor expansion of b in a 136.694 * [backup-simplify]: Simplify b into b 136.694 * [taylor]: Taking taylor expansion of a in a 136.694 * [backup-simplify]: Simplify 0 into 0 136.694 * [backup-simplify]: Simplify 1 into 1 136.694 * [backup-simplify]: Simplify (+ 0 b) into b 136.694 * [backup-simplify]: Simplify (- 0) into 0 136.694 * [backup-simplify]: Simplify (+ b 0) into b 136.694 * [backup-simplify]: Simplify (* b b) into (pow b 2) 136.694 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 136.694 * [backup-simplify]: Simplify (/ PI (pow b 3)) into (/ PI (pow b 3)) 136.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in a 136.694 * [taylor]: Taking taylor expansion of 1/2 in a 136.694 * [backup-simplify]: Simplify 1/2 into 1/2 136.694 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in a 136.694 * [taylor]: Taking taylor expansion of PI in a 136.694 * [backup-simplify]: Simplify PI into PI 136.694 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in a 136.694 * [taylor]: Taking taylor expansion of b in a 136.694 * [backup-simplify]: Simplify b into b 136.694 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 136.694 * [taylor]: Taking taylor expansion of (+ a b) in a 136.694 * [taylor]: Taking taylor expansion of a in a 136.694 * [backup-simplify]: Simplify 0 into 0 136.694 * [backup-simplify]: Simplify 1 into 1 136.694 * [taylor]: Taking taylor expansion of b in a 136.694 * [backup-simplify]: Simplify b into b 136.694 * [taylor]: Taking taylor expansion of (- b a) in a 136.694 * [taylor]: Taking taylor expansion of b in a 136.694 * [backup-simplify]: Simplify b into b 136.694 * [taylor]: Taking taylor expansion of a in a 136.694 * [backup-simplify]: Simplify 0 into 0 136.694 * [backup-simplify]: Simplify 1 into 1 136.694 * [backup-simplify]: Simplify (+ 0 b) into b 136.695 * [backup-simplify]: Simplify (- 0) into 0 136.695 * [backup-simplify]: Simplify (+ b 0) into b 136.695 * [backup-simplify]: Simplify (* b b) into (pow b 2) 136.695 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 136.695 * [backup-simplify]: Simplify (/ PI (pow b 3)) into (/ PI (pow b 3)) 136.695 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 3))) into (* 1/2 (/ PI (pow b 3))) 136.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 136.695 * [taylor]: Taking taylor expansion of 1/2 in b 136.695 * [backup-simplify]: Simplify 1/2 into 1/2 136.695 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 136.695 * [taylor]: Taking taylor expansion of PI in b 136.695 * [backup-simplify]: Simplify PI into PI 136.695 * [taylor]: Taking taylor expansion of (pow b 3) in b 136.695 * [taylor]: Taking taylor expansion of b in b 136.695 * [backup-simplify]: Simplify 0 into 0 136.695 * [backup-simplify]: Simplify 1 into 1 136.695 * [backup-simplify]: Simplify (* 1 1) into 1 136.696 * [backup-simplify]: Simplify (* 1 1) into 1 136.696 * [backup-simplify]: Simplify (/ PI 1) into PI 136.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 136.701 * [backup-simplify]: Simplify 0 into 0 136.701 * [backup-simplify]: Simplify (- 1) into -1 136.701 * [backup-simplify]: Simplify (+ 0 -1) into -1 136.701 * [backup-simplify]: Simplify (+ 1 0) into 1 136.701 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 136.702 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (pow b 2))) into 0 136.702 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ 0 (pow b 3))))) into 0 136.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI (pow b 3)))) into 0 136.702 * [taylor]: Taking taylor expansion of 0 in b 136.702 * [backup-simplify]: Simplify 0 into 0 136.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 136.705 * [backup-simplify]: Simplify 0 into 0 136.705 * [backup-simplify]: Simplify (- 0) into 0 136.705 * [backup-simplify]: Simplify (+ 0 0) into 0 136.705 * [backup-simplify]: Simplify (+ 0 0) into 0 136.706 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 136.706 * [backup-simplify]: Simplify (+ (* b (- 1)) (+ (* 0 0) (* 0 (pow b 2)))) into (- b) 136.706 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ (- b) (pow b 3))) (* 0 (/ 0 (pow b 3))))) into (/ PI (pow b 5)) 136.707 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 5))) (+ (* 0 0) (* 0 (/ PI (pow b 3))))) into (* 1/2 (/ PI (pow b 5))) 136.707 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 5))) in b 136.707 * [taylor]: Taking taylor expansion of 1/2 in b 136.707 * [backup-simplify]: Simplify 1/2 into 1/2 136.707 * [taylor]: Taking taylor expansion of (/ PI (pow b 5)) in b 136.707 * [taylor]: Taking taylor expansion of PI in b 136.707 * [backup-simplify]: Simplify PI into PI 136.707 * [taylor]: Taking taylor expansion of (pow b 5) in b 136.707 * [taylor]: Taking taylor expansion of b in b 136.707 * [backup-simplify]: Simplify 0 into 0 136.707 * [backup-simplify]: Simplify 1 into 1 136.707 * [backup-simplify]: Simplify (* 1 1) into 1 136.707 * [backup-simplify]: Simplify (* 1 1) into 1 136.708 * [backup-simplify]: Simplify (* 1 1) into 1 136.708 * [backup-simplify]: Simplify (/ PI 1) into PI 136.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 136.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 136.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 136.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 136.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 136.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 136.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 136.718 * [backup-simplify]: Simplify 0 into 0 136.718 * [backup-simplify]: Simplify 0 into 0 136.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 136.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 136.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 136.721 * [backup-simplify]: Simplify 0 into 0 136.721 * [backup-simplify]: Simplify (- 0) into 0 136.721 * [backup-simplify]: Simplify (+ 0 0) into 0 136.721 * [backup-simplify]: Simplify (+ 0 0) into 0 136.722 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 -1) (* 0 b)))) into 0 136.722 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 (- 1)) (+ (* 0 0) (* 0 (pow b 2))))) into 0 136.723 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ (- b) (pow b 3))) (* (/ PI (pow b 5)) (/ 0 (pow b 3))))) into 0 136.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ PI (pow b 5))) (+ (* 0 0) (* 0 (/ PI (pow b 3)))))) into 0 136.723 * [taylor]: Taking taylor expansion of 0 in b 136.723 * [backup-simplify]: Simplify 0 into 0 136.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 136.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 136.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 136.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 136.728 * [backup-simplify]: Simplify 0 into 0 136.728 * [backup-simplify]: Simplify 0 into 0 136.728 * [backup-simplify]: Simplify (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (* (/ 1 b) (- (/ 1 b) (/ 1 a)))) into (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 136.728 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 136.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 136.728 * [taylor]: Taking taylor expansion of 1/2 in b 136.728 * [backup-simplify]: Simplify 1/2 into 1/2 136.728 * [taylor]: Taking taylor expansion of (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 136.728 * [taylor]: Taking taylor expansion of (* PI b) in b 136.728 * [taylor]: Taking taylor expansion of PI in b 136.728 * [backup-simplify]: Simplify PI into PI 136.728 * [taylor]: Taking taylor expansion of b in b 136.728 * [backup-simplify]: Simplify 0 into 0 136.728 * [backup-simplify]: Simplify 1 into 1 136.728 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 136.728 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 136.728 * [taylor]: Taking taylor expansion of (/ 1 a) in b 136.728 * [taylor]: Taking taylor expansion of a in b 136.728 * [backup-simplify]: Simplify a into a 136.728 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 136.728 * [taylor]: Taking taylor expansion of (/ 1 b) in b 136.728 * [taylor]: Taking taylor expansion of b in b 136.728 * [backup-simplify]: Simplify 0 into 0 136.728 * [backup-simplify]: Simplify 1 into 1 136.729 * [backup-simplify]: Simplify (/ 1 1) into 1 136.729 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 136.729 * [taylor]: Taking taylor expansion of (/ 1 b) in b 136.729 * [taylor]: Taking taylor expansion of b in b 136.729 * [backup-simplify]: Simplify 0 into 0 136.729 * [backup-simplify]: Simplify 1 into 1 136.729 * [backup-simplify]: Simplify (/ 1 1) into 1 136.729 * [taylor]: Taking taylor expansion of (/ 1 a) in b 136.729 * [taylor]: Taking taylor expansion of a in b 136.729 * [backup-simplify]: Simplify a into a 136.729 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 136.729 * [backup-simplify]: Simplify (* PI 0) into 0 136.730 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 136.731 * [backup-simplify]: Simplify (+ 0 1) into 1 136.731 * [backup-simplify]: Simplify (+ 1 0) into 1 136.731 * [backup-simplify]: Simplify (* 1 1) into 1 136.731 * [backup-simplify]: Simplify (/ PI 1) into PI 136.731 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 136.731 * [taylor]: Taking taylor expansion of 1/2 in a 136.731 * [backup-simplify]: Simplify 1/2 into 1/2 136.731 * [taylor]: Taking taylor expansion of (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 136.731 * [taylor]: Taking taylor expansion of (* PI b) in a 136.732 * [taylor]: Taking taylor expansion of PI in a 136.732 * [backup-simplify]: Simplify PI into PI 136.732 * [taylor]: Taking taylor expansion of b in a 136.732 * [backup-simplify]: Simplify b into b 136.732 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 136.732 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 136.732 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.732 * [taylor]: Taking taylor expansion of a in a 136.732 * [backup-simplify]: Simplify 0 into 0 136.732 * [backup-simplify]: Simplify 1 into 1 136.732 * [backup-simplify]: Simplify (/ 1 1) into 1 136.732 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.732 * [taylor]: Taking taylor expansion of b in a 136.732 * [backup-simplify]: Simplify b into b 136.732 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.732 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 136.732 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.732 * [taylor]: Taking taylor expansion of b in a 136.732 * [backup-simplify]: Simplify b into b 136.732 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.732 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.732 * [taylor]: Taking taylor expansion of a in a 136.732 * [backup-simplify]: Simplify 0 into 0 136.732 * [backup-simplify]: Simplify 1 into 1 136.732 * [backup-simplify]: Simplify (/ 1 1) into 1 136.732 * [backup-simplify]: Simplify (* PI b) into (* b PI) 136.733 * [backup-simplify]: Simplify (+ 1 0) into 1 136.733 * [backup-simplify]: Simplify (- 1) into -1 136.733 * [backup-simplify]: Simplify (+ 0 -1) into -1 136.733 * [backup-simplify]: Simplify (* 1 -1) into -1 136.734 * [backup-simplify]: Simplify (/ (* b PI) -1) into (* -1 (* b PI)) 136.734 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 136.734 * [taylor]: Taking taylor expansion of 1/2 in a 136.734 * [backup-simplify]: Simplify 1/2 into 1/2 136.734 * [taylor]: Taking taylor expansion of (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 136.734 * [taylor]: Taking taylor expansion of (* PI b) in a 136.734 * [taylor]: Taking taylor expansion of PI in a 136.734 * [backup-simplify]: Simplify PI into PI 136.734 * [taylor]: Taking taylor expansion of b in a 136.734 * [backup-simplify]: Simplify b into b 136.734 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 136.734 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 136.734 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.734 * [taylor]: Taking taylor expansion of a in a 136.734 * [backup-simplify]: Simplify 0 into 0 136.734 * [backup-simplify]: Simplify 1 into 1 136.734 * [backup-simplify]: Simplify (/ 1 1) into 1 136.734 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.734 * [taylor]: Taking taylor expansion of b in a 136.734 * [backup-simplify]: Simplify b into b 136.734 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.734 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 136.734 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.734 * [taylor]: Taking taylor expansion of b in a 136.734 * [backup-simplify]: Simplify b into b 136.734 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.734 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.734 * [taylor]: Taking taylor expansion of a in a 136.734 * [backup-simplify]: Simplify 0 into 0 136.734 * [backup-simplify]: Simplify 1 into 1 136.734 * [backup-simplify]: Simplify (/ 1 1) into 1 136.735 * [backup-simplify]: Simplify (* PI b) into (* b PI) 136.735 * [backup-simplify]: Simplify (+ 1 0) into 1 136.735 * [backup-simplify]: Simplify (- 1) into -1 136.735 * [backup-simplify]: Simplify (+ 0 -1) into -1 136.736 * [backup-simplify]: Simplify (* 1 -1) into -1 136.736 * [backup-simplify]: Simplify (/ (* b PI) -1) into (* -1 (* b PI)) 136.736 * [backup-simplify]: Simplify (* 1/2 (* -1 (* b PI))) into (* -1/2 (* PI b)) 136.736 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 136.736 * [taylor]: Taking taylor expansion of -1/2 in b 136.736 * [backup-simplify]: Simplify -1/2 into -1/2 136.736 * [taylor]: Taking taylor expansion of (* PI b) in b 136.736 * [taylor]: Taking taylor expansion of PI in b 136.736 * [backup-simplify]: Simplify PI into PI 136.736 * [taylor]: Taking taylor expansion of b in b 136.736 * [backup-simplify]: Simplify 0 into 0 136.736 * [backup-simplify]: Simplify 1 into 1 136.740 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 136.741 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 136.742 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 136.743 * [backup-simplify]: Simplify (* PI 0) into 0 136.743 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 136.743 * [backup-simplify]: Simplify 0 into 0 136.744 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 136.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.744 * [backup-simplify]: Simplify (- 0) into 0 136.744 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 136.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.745 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 136.745 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 136.746 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (* b PI)) (/ 0 -1)))) into 0 136.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 (* b PI)))) into 0 136.746 * [taylor]: Taking taylor expansion of 0 in b 136.746 * [backup-simplify]: Simplify 0 into 0 136.746 * [backup-simplify]: Simplify 0 into 0 136.747 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 136.748 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 136.748 * [backup-simplify]: Simplify 0 into 0 136.748 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 136.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 136.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.749 * [backup-simplify]: Simplify (- 0) into 0 136.749 * [backup-simplify]: Simplify (+ 0 0) into 0 136.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 136.750 * [backup-simplify]: Simplify (+ 0 0) into 0 136.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 136.751 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI b)) 136.752 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (+ (* 0 0) (* 0 (* -1 (* b PI))))) into (- (* 1/2 (/ PI b))) 136.752 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 136.752 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 136.752 * [taylor]: Taking taylor expansion of 1/2 in b 136.752 * [backup-simplify]: Simplify 1/2 into 1/2 136.752 * [taylor]: Taking taylor expansion of (/ PI b) in b 136.752 * [taylor]: Taking taylor expansion of PI in b 136.752 * [backup-simplify]: Simplify PI into PI 136.752 * [taylor]: Taking taylor expansion of b in b 136.752 * [backup-simplify]: Simplify 0 into 0 136.752 * [backup-simplify]: Simplify 1 into 1 136.752 * [backup-simplify]: Simplify (/ PI 1) into PI 136.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 136.757 * [backup-simplify]: Simplify (- 0) into 0 136.757 * [backup-simplify]: Simplify 0 into 0 136.757 * [backup-simplify]: Simplify 0 into 0 136.758 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 136.759 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 136.759 * [backup-simplify]: Simplify 0 into 0 136.759 * [backup-simplify]: Simplify 0 into 0 136.760 * [backup-simplify]: Simplify (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (* (/ 1 (- b)) (- (/ 1 (- b)) (/ 1 (- a))))) into (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 136.760 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 136.760 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 136.760 * [taylor]: Taking taylor expansion of 1/2 in b 136.760 * [backup-simplify]: Simplify 1/2 into 1/2 136.760 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 136.760 * [taylor]: Taking taylor expansion of (* b PI) in b 136.760 * [taylor]: Taking taylor expansion of b in b 136.760 * [backup-simplify]: Simplify 0 into 0 136.760 * [backup-simplify]: Simplify 1 into 1 136.760 * [taylor]: Taking taylor expansion of PI in b 136.760 * [backup-simplify]: Simplify PI into PI 136.760 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 136.760 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 136.760 * [taylor]: Taking taylor expansion of (/ 1 a) in b 136.760 * [taylor]: Taking taylor expansion of a in b 136.760 * [backup-simplify]: Simplify a into a 136.760 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 136.760 * [taylor]: Taking taylor expansion of (/ 1 b) in b 136.760 * [taylor]: Taking taylor expansion of b in b 136.760 * [backup-simplify]: Simplify 0 into 0 136.760 * [backup-simplify]: Simplify 1 into 1 136.760 * [backup-simplify]: Simplify (/ 1 1) into 1 136.760 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 136.760 * [taylor]: Taking taylor expansion of (/ 1 a) in b 136.760 * [taylor]: Taking taylor expansion of a in b 136.760 * [backup-simplify]: Simplify a into a 136.761 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 136.761 * [taylor]: Taking taylor expansion of (/ 1 b) in b 136.761 * [taylor]: Taking taylor expansion of b in b 136.761 * [backup-simplify]: Simplify 0 into 0 136.761 * [backup-simplify]: Simplify 1 into 1 136.761 * [backup-simplify]: Simplify (/ 1 1) into 1 136.761 * [backup-simplify]: Simplify (* 0 PI) into 0 136.762 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 136.762 * [backup-simplify]: Simplify (+ 0 1) into 1 136.763 * [backup-simplify]: Simplify (- 1) into -1 136.763 * [backup-simplify]: Simplify (+ 0 -1) into -1 136.763 * [backup-simplify]: Simplify (* 1 -1) into -1 136.763 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 136.763 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 136.763 * [taylor]: Taking taylor expansion of 1/2 in a 136.763 * [backup-simplify]: Simplify 1/2 into 1/2 136.763 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 136.763 * [taylor]: Taking taylor expansion of (* b PI) in a 136.763 * [taylor]: Taking taylor expansion of b in a 136.763 * [backup-simplify]: Simplify b into b 136.764 * [taylor]: Taking taylor expansion of PI in a 136.764 * [backup-simplify]: Simplify PI into PI 136.764 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 136.764 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 136.764 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.764 * [taylor]: Taking taylor expansion of a in a 136.764 * [backup-simplify]: Simplify 0 into 0 136.764 * [backup-simplify]: Simplify 1 into 1 136.764 * [backup-simplify]: Simplify (/ 1 1) into 1 136.764 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.764 * [taylor]: Taking taylor expansion of b in a 136.764 * [backup-simplify]: Simplify b into b 136.764 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.764 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 136.764 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.764 * [taylor]: Taking taylor expansion of a in a 136.764 * [backup-simplify]: Simplify 0 into 0 136.764 * [backup-simplify]: Simplify 1 into 1 136.764 * [backup-simplify]: Simplify (/ 1 1) into 1 136.764 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.764 * [taylor]: Taking taylor expansion of b in a 136.764 * [backup-simplify]: Simplify b into b 136.764 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.764 * [backup-simplify]: Simplify (* b PI) into (* PI b) 136.765 * [backup-simplify]: Simplify (+ 1 0) into 1 136.765 * [backup-simplify]: Simplify (+ 1 0) into 1 136.765 * [backup-simplify]: Simplify (* 1 1) into 1 136.765 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 136.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 136.765 * [taylor]: Taking taylor expansion of 1/2 in a 136.765 * [backup-simplify]: Simplify 1/2 into 1/2 136.765 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 136.765 * [taylor]: Taking taylor expansion of (* b PI) in a 136.765 * [taylor]: Taking taylor expansion of b in a 136.765 * [backup-simplify]: Simplify b into b 136.765 * [taylor]: Taking taylor expansion of PI in a 136.765 * [backup-simplify]: Simplify PI into PI 136.765 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 136.765 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 136.765 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.765 * [taylor]: Taking taylor expansion of a in a 136.765 * [backup-simplify]: Simplify 0 into 0 136.765 * [backup-simplify]: Simplify 1 into 1 136.766 * [backup-simplify]: Simplify (/ 1 1) into 1 136.766 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.766 * [taylor]: Taking taylor expansion of b in a 136.766 * [backup-simplify]: Simplify b into b 136.766 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.766 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 136.766 * [taylor]: Taking taylor expansion of (/ 1 a) in a 136.766 * [taylor]: Taking taylor expansion of a in a 136.766 * [backup-simplify]: Simplify 0 into 0 136.766 * [backup-simplify]: Simplify 1 into 1 136.766 * [backup-simplify]: Simplify (/ 1 1) into 1 136.766 * [taylor]: Taking taylor expansion of (/ 1 b) in a 136.766 * [taylor]: Taking taylor expansion of b in a 136.766 * [backup-simplify]: Simplify b into b 136.766 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 136.766 * [backup-simplify]: Simplify (* b PI) into (* PI b) 136.766 * [backup-simplify]: Simplify (+ 1 0) into 1 136.767 * [backup-simplify]: Simplify (+ 1 0) into 1 136.767 * [backup-simplify]: Simplify (* 1 1) into 1 136.767 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 136.767 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 136.767 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 136.767 * [taylor]: Taking taylor expansion of 1/2 in b 136.767 * [backup-simplify]: Simplify 1/2 into 1/2 136.767 * [taylor]: Taking taylor expansion of (* PI b) in b 136.767 * [taylor]: Taking taylor expansion of PI in b 136.767 * [backup-simplify]: Simplify PI into PI 136.767 * [taylor]: Taking taylor expansion of b in b 136.767 * [backup-simplify]: Simplify 0 into 0 136.767 * [backup-simplify]: Simplify 1 into 1 136.768 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 136.769 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 136.770 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 136.770 * [backup-simplify]: Simplify (* PI 0) into 0 136.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 136.771 * [backup-simplify]: Simplify 0 into 0 136.771 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 136.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.772 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 136.772 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 136.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 136.772 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 136.772 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 136.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)))) into 0 136.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 136.773 * [taylor]: Taking taylor expansion of 0 in b 136.773 * [backup-simplify]: Simplify 0 into 0 136.773 * [backup-simplify]: Simplify 0 into 0 136.774 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 136.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 136.775 * [backup-simplify]: Simplify 0 into 0 136.776 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 136.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 136.777 * [backup-simplify]: Simplify (- 0) into 0 136.777 * [backup-simplify]: Simplify (+ 0 0) into 0 136.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 136.778 * [backup-simplify]: Simplify (+ 0 0) into 0 136.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 136.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI b) 136.779 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 0) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 136.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 136.779 * [taylor]: Taking taylor expansion of 1/2 in b 136.779 * [backup-simplify]: Simplify 1/2 into 1/2 136.779 * [taylor]: Taking taylor expansion of (/ PI b) in b 136.779 * [taylor]: Taking taylor expansion of PI in b 136.779 * [backup-simplify]: Simplify PI into PI 136.779 * [taylor]: Taking taylor expansion of b in b 136.779 * [backup-simplify]: Simplify 0 into 0 136.779 * [backup-simplify]: Simplify 1 into 1 136.780 * [backup-simplify]: Simplify (/ PI 1) into PI 136.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 136.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 136.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 136.783 * [backup-simplify]: Simplify 0 into 0 136.783 * [backup-simplify]: Simplify 0 into 0 136.784 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 136.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 136.785 * [backup-simplify]: Simplify 0 into 0 136.785 * [backup-simplify]: Simplify 0 into 0 136.785 * * * [progress]: simplifying candidates 136.785 * * * * [progress]: [ 1 / 644 ] simplifiying candidate # 136.785 * * * * [progress]: [ 2 / 644 ] simplifiying candidate # 136.785 * * * * [progress]: [ 3 / 644 ] simplifiying candidate # 136.785 * * * * [progress]: [ 4 / 644 ] simplifiying candidate # 136.785 * * * * [progress]: [ 5 / 644 ] simplifiying candidate # 136.785 * * * * [progress]: [ 6 / 644 ] simplifiying candidate # 136.785 * * * * [progress]: [ 7 / 644 ] simplifiying candidate # 136.785 * * * * [progress]: [ 8 / 644 ] simplifiying candidate # 136.785 * * * * [progress]: [ 9 / 644 ] simplifiying candidate # 136.785 * * * * [progress]: [ 10 / 644 ] simplifiying candidate # 136.785 * * * * [progress]: [ 11 / 644 ] simplifiying candidate # 136.785 * * * * [progress]: [ 12 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 13 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 14 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 15 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 16 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 17 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 18 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 19 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 20 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 21 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 22 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 23 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 24 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 25 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 26 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 27 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 28 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 29 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 30 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 31 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 32 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 33 / 644 ] simplifiying candidate # 136.786 * * * * [progress]: [ 34 / 644 ] simplifiying candidate # 136.787 * * * * [progress]: [ 35 / 644 ] simplifiying candidate # 136.787 * * * * [progress]: [ 36 / 644 ] simplifiying candidate # 136.787 * * * * [progress]: [ 37 / 644 ] simplifiying candidate # 136.787 * * * * [progress]: [ 38 / 644 ] simplifiying candidate # 136.787 * * * * [progress]: [ 39 / 644 ] simplifiying candidate # 136.787 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candidate # 136.814 * * * * [progress]: [ 632 / 644 ] simplifiying candidate #real (real->posit16 (/ (/ (/ PI 2) (+ a b)) (* b (- b a)))))))> 136.814 * * * * [progress]: [ 633 / 644 ] simplifiying candidate # 136.814 * * * * [progress]: [ 634 / 644 ] simplifiying candidate # 136.815 * * * * [progress]: [ 635 / 644 ] simplifiying candidate # 136.815 * * * * [progress]: [ 636 / 644 ] simplifiying candidate # 136.815 * * * * [progress]: [ 637 / 644 ] simplifiying candidate # 136.815 * * * * [progress]: [ 638 / 644 ] simplifiying candidate # 136.815 * * * * [progress]: [ 639 / 644 ] simplifiying candidate # 136.815 * * * * [progress]: [ 640 / 644 ] simplifiying candidate # 136.815 * * * * [progress]: [ 641 / 644 ] simplifiying candidate # 136.815 * * * * [progress]: [ 642 / 644 ] simplifiying candidate # 136.815 * * * * [progress]: [ 643 / 644 ] simplifiying candidate # 136.815 * * * * [progress]: [ 644 / 644 ] simplifiying candidate # 136.822 * [simplify]: Simplifying: (expm1 (/ 1 (/ a (/ 1 (- b a))))) (log1p (/ 1 (/ a (/ 1 (- b a))))) (- 1) (- (- (log a) (- (log (- b a))))) (- (- (log a) (- 0 (log (- b a))))) (- (- (log a) (- (log 1) (log (- b a))))) (- (- (log a) (log (/ 1 (- b a))))) (- (log (/ a (/ 1 (- b a))))) (- 0 (- (log a) (- (log (- b a))))) (- 0 (- (log a) (- 0 (log (- b a))))) (- 0 (- (log a) (- (log 1) (log (- b a))))) (- 0 (- (log a) (log (/ 1 (- b a))))) (- 0 (log (/ a (/ 1 (- b a))))) (- (log 1) (- (log a) (- (log (- b a))))) (- (log 1) (- (log a) (- 0 (log (- b a))))) (- (log 1) (- (log a) (- (log 1) (log (- b a))))) (- (log 1) (- (log a) (log (/ 1 (- b a))))) (- (log 1) (log (/ a (/ 1 (- b a))))) (log (/ 1 (/ a (/ 1 (- b a))))) (exp (/ 1 (/ a (/ 1 (- b a))))) (/ (* (* 1 1) 1) (/ (* (* a a) a) (/ (* (* 1 1) 1) (* (* (- b a) (- b a)) (- b a))))) (/ (* (* 1 1) 1) (/ (* (* a a) a) (* (* (/ 1 (- b a)) (/ 1 (- b a))) (/ 1 (- b a))))) (/ (* (* 1 1) 1) (* (* (/ a (/ 1 (- b a))) (/ a (/ 1 (- b a)))) (/ a (/ 1 (- b a))))) (* (cbrt (/ 1 (/ a (/ 1 (- b a))))) (cbrt (/ 1 (/ a (/ 1 (- b a)))))) (cbrt (/ 1 (/ a (/ 1 (- b a))))) (* (* (/ 1 (/ a (/ 1 (- b a)))) (/ 1 (/ a (/ 1 (- b a))))) (/ 1 (/ a (/ 1 (- b a))))) (sqrt (/ 1 (/ a (/ 1 (- b a))))) (sqrt (/ 1 (/ a (/ 1 (- b a))))) (- 1) (- (/ a (/ 1 (- b a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ a (/ 1 (- b a)))) (cbrt (/ a (/ 1 (- b a)))))) (/ (cbrt 1) (cbrt (/ a (/ 1 (- b a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ a (/ 1 (- b a))))) (/ (cbrt 1) (sqrt (/ a (/ 1 (- b a))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))))) (/ (cbrt 1) (/ (cbrt a) (cbrt (/ 1 (- b a))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt a) (cbrt a)) (sqrt (/ 1 (- b a))))) (/ (cbrt 1) (/ (cbrt a) (sqrt (/ 1 (- b a))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt a) (cbrt a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- b a)) (cbrt (- b a)))))) (/ (cbrt 1) (/ (cbrt a) (/ (cbrt 1) (cbrt (- b a))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt a) (cbrt a)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- b a))))) (/ (cbrt 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(* (cbrt 2) (cbrt 2))) b) (/ (/ (/ (sqrt PI) (cbrt 2)) (+ a b)) (- b a)) (/ (/ (/ (/ (sqrt PI) (sqrt 2)) (cbrt (+ a b))) (cbrt (+ a b))) b) (/ (/ (/ (sqrt PI) (sqrt 2)) (cbrt (+ a b))) (- b a)) (/ (/ (/ (sqrt PI) (sqrt 2)) (sqrt (+ a b))) b) (/ (/ (/ (sqrt PI) (sqrt 2)) (sqrt (+ a b))) (- b a)) (/ (/ (sqrt PI) (sqrt 2)) b) (/ (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) (- b a)) (/ (/ (sqrt PI) (sqrt 2)) b) (/ (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) (- b a)) (/ (/ (sqrt PI) (* (cbrt (+ a b)) (cbrt (+ a b)))) b) (/ (/ (/ (sqrt PI) 2) (cbrt (+ a b))) (- b a)) (/ (/ (sqrt PI) (sqrt (+ a b))) b) (/ (/ (/ (sqrt PI) 2) (sqrt (+ a b))) (- b a)) (/ (sqrt PI) b) (/ (/ (/ (sqrt PI) 2) (+ a b)) (- b a)) (/ (sqrt PI) b) (/ (/ (/ (sqrt PI) 2) (+ a b)) (- b a)) (/ (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (cbrt (+ a b))) (cbrt (+ a b))) b) (/ (/ (/ PI (cbrt 2)) (cbrt (+ a b))) (- b a)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt (+ a b))) b) (/ (/ (/ PI (cbrt 2)) (sqrt (+ a b))) (- b a)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) b) (/ (/ (/ PI (cbrt 2)) (+ a b)) (- b a)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) b) (/ (/ (/ PI (cbrt 2)) (+ a b)) (- b a)) (/ (/ (/ (/ 1 (sqrt 2)) (cbrt (+ a b))) (cbrt (+ a b))) b) (/ (/ (/ PI (sqrt 2)) (cbrt (+ a b))) (- b a)) (/ (/ (/ 1 (sqrt 2)) (sqrt (+ a b))) b) (/ (/ (/ PI (sqrt 2)) (sqrt (+ a b))) (- b a)) (/ (/ 1 (sqrt 2)) b) (/ (/ (/ PI (sqrt 2)) (+ a b)) (- b a)) (/ (/ 1 (sqrt 2)) b) (/ (/ (/ PI (sqrt 2)) (+ a b)) (- b a)) (/ (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) b) (/ (/ (/ PI 2) (cbrt (+ a b))) (- b a)) (/ (/ 1 (sqrt (+ a b))) b) (/ (/ (/ PI 2) (sqrt (+ a b))) (- b a)) (/ 1 b) (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ 1 b) (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) b) (/ (/ (/ PI 2) (cbrt (+ a b))) (- b a)) (/ (/ 1 (sqrt (+ a b))) b) (/ (/ (/ PI 2) (sqrt (+ a b))) (- b a)) (/ 1 b) (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ 1 b) (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (/ (/ PI (cbrt (+ a b))) (cbrt (+ a b))) b) (/ (/ (/ 1 2) (cbrt (+ a b))) (- b a)) (/ (/ PI (sqrt (+ a b))) b) (/ (/ (/ 1 2) (sqrt (+ a b))) (- b a)) (/ PI b) (/ (/ (/ 1 2) (+ a b)) (- b a)) (/ PI b) (/ (/ (/ 1 2) (+ a b)) (- b a)) (/ 1 b) (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (/ PI 2) b) (/ (/ 1 (+ a b)) (- b a)) (/ (/ (/ PI 2) (+ (* a (* a a)) (* (* b b) b))) b) (/ (fma a a (* b (- b a))) (- b a)) (/ (/ (/ PI 2) (- (* a a) (* b b))) b) (/ (- a b) (- b a)) (/ (/ 1 b) (- b a)) (* (/ (* b (- b a)) (/ PI 2)) (+ a b)) (/ (/ (/ PI 2) (+ a b)) b) (/ (* b (- b a)) (cbrt (/ (/ PI 2) (+ a b)))) (/ (* b (- b a)) (sqrt (/ (/ PI 2) (+ a b)))) (/ (* b (- b a)) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (* (/ (* b (- b a)) (cbrt (/ PI 2))) (sqrt (+ a b))) (/ (* b (- b a)) (/ (cbrt (/ PI 2)) (+ a b))) (/ (* b (- b a)) (/ (cbrt (/ PI 2)) (+ a b))) (* (/ (* b (- b a)) (sqrt (/ PI 2))) (cbrt (+ a b))) (* (/ (* b (- b a)) (sqrt (/ PI 2))) (sqrt (+ a b))) (* (/ (* b (- b a)) (sqrt (/ PI 2))) (+ a b)) (* (/ (* b (- b a)) (sqrt (/ PI 2))) (+ a b)) (/ (* b (- b a)) (/ (/ (cbrt PI) (cbrt 2)) (cbrt (+ a b)))) (* (/ (* b (- b a)) (/ (cbrt PI) (cbrt 2))) (sqrt (+ a b))) (/ (* b (- b a)) (/ (/ (cbrt PI) (cbrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (cbrt PI) (cbrt 2)) (+ a b))) (* (/ (* b (- b a)) (/ (cbrt PI) (sqrt 2))) (cbrt (+ a b))) (* (/ (* b (- b a)) (/ (cbrt PI) (sqrt 2))) (sqrt (+ a b))) (* (/ (* b (- b a)) (/ (cbrt PI) (sqrt 2))) (+ a b)) (* (/ (* b (- b a)) (/ (cbrt PI) (sqrt 2))) (+ a b)) (/ (* b (- b a)) (/ (/ (cbrt PI) 2) (cbrt (+ a b)))) (* (/ (* b (- b a)) (/ (cbrt PI) 2)) (sqrt (+ a b))) (* (/ (* b (- b a)) (/ (cbrt PI) 2)) (+ a b)) (* (/ (* b (- b a)) (/ (cbrt PI) 2)) (+ a b)) (/ (* b (- b a)) (/ (/ (sqrt PI) (cbrt 2)) (cbrt (+ a b)))) (* (/ (* b (- b a)) (/ (sqrt PI) (cbrt 2))) (sqrt (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) (cbrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) (cbrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) (sqrt 2)) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt (+ a b)))) (/ (* b (- b a)) (/ (/ (sqrt PI) (sqrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) (sqrt 2)) (+ a b))) (/ (* b (- b a)) (/ (/ (sqrt PI) 2) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ (sqrt PI) 2) (sqrt (+ a b)))) (/ b (/ (/ (/ (sqrt PI) 2) (+ a b)) (- b a))) (/ b (/ (/ (/ (sqrt PI) 2) (+ a b)) (- b a))) (/ (* b (- b a)) (/ (/ PI (cbrt 2)) (cbrt (+ a b)))) (/ (* b (- b a)) (/ (/ PI (cbrt 2)) (sqrt (+ a b)))) (/ b (/ (/ (/ PI (cbrt 2)) (+ a b)) (- b a))) (/ b (/ (/ (/ PI (cbrt 2)) (+ a b)) (- b a))) (/ b (/ (/ (/ PI (sqrt 2)) (cbrt (+ a b))) (- b a))) (/ (* b (- b a)) (/ (/ PI (sqrt 2)) (sqrt (+ a b)))) (* (/ (* b (- b a)) (/ PI (sqrt 2))) (+ a b)) (* (/ (* b (- b a)) (/ PI (sqrt 2))) (+ a b)) (* (/ (* b (- b a)) (/ PI 2)) (cbrt (+ a b))) (* (/ (* b (- b a)) (/ PI 2)) (sqrt (+ a b))) (* (/ (* b (- b a)) (/ PI 2)) (+ a b)) (* (/ (* b (- b a)) (/ PI 2)) (+ a b)) (* (/ (* b (- b a)) (/ PI 2)) (cbrt (+ a b))) (* (/ (* b (- b a)) (/ PI 2)) (sqrt (+ a b))) (* (/ (* b (- b a)) (/ PI 2)) (+ a b)) (* (/ (* b (- b a)) (/ PI 2)) (+ a b)) (/ (* b (- b a)) (/ (/ 1 2) (cbrt (+ a b)))) (/ b (/ (/ (/ 1 2) (sqrt (+ a b))) (- b a))) (/ b (/ (/ (/ 1 2) (+ a b)) (- b a))) (/ b (/ (/ (/ 1 2) (+ a b)) (- b a))) (* (/ (* b (- b a)) (/ PI 2)) (+ a b)) (/ b (/ (/ 1 (+ a b)) (- b a))) (/ (* b (- b a)) (fma a a (* b (- b a)))) (/ b (/ (- a b) (- b a))) (/ (/ (/ (/ PI 2) (+ a b)) b) (- (* (* b b) b) (* a (* a a)))) (/ (/ (/ (/ PI 2) (+ a b)) b) (- (* b b) (* a a))) (* (* b (- b a)) (+ a b)) (real->posit16 (/ (/ (/ (/ PI 2) (+ a b)) b) (- b a))) 0 0 0 0 0 0 0 0 0 0 0 0 137.636 * * * [progress]: adding candidates to table 144.259 * [progress]: [Phase 3 of 3] Extracting. 144.259 * * [regime]: Finding splitpoints for: (# # # # # # #) 144.261 * * * [regime-changes]: Trying 3 branch expressions: ((* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) b a) 144.261 * * * * [regimes]: Trying to branch on (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) from (# # # # # # #) 144.303 * * * * [regimes]: Trying to branch on b from (# # # # # # #) 144.345 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 144.398 * * * [regime]: Found split indices: #