0.001 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.080 * * * [progress]: [2/2] Setting up program. 0.085 * [progress]: [Phase 2 of 3] Improving. 0.085 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.086 * [simplify]: Simplifying: (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) 0.086 * * [simplify]: iteration 1: (15 enodes) 0.110 * * [simplify]: iteration 2: (62 enodes) 0.124 * * [simplify]: iteration 3: (129 enodes) 0.171 * * [simplify]: iteration 4: (400 enodes) 0.388 * * [simplify]: iteration 5: (1422 enodes) 1.806 * * [simplify]: Extracting #0: cost 1 inf + 0 1.806 * * [simplify]: Extracting #1: cost 110 inf + 0 1.808 * * [simplify]: Extracting #2: cost 576 inf + 88 1.824 * * [simplify]: Extracting #3: cost 612 inf + 28121 1.888 * * [simplify]: Extracting #4: cost 82 inf + 117062 1.953 * * [simplify]: Extracting #5: cost 0 inf + 131728 2.038 * [simplify]: Simplified to: (* (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ a b)) 1/2) 2.045 * * [progress]: iteration 1 / 4 2.045 * * * [progress]: picking best candidate 2.050 * * * * [pick]: Picked # 2.050 * * * [progress]: localizing error 2.076 * * * [progress]: generating rewritten candidates 2.076 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2) 2.083 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 2.090 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.148 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.219 * * * [progress]: generating series expansions 2.219 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2) 2.222 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.223 * [approximate]: Taking taylor expansion of (/ PI b) in (b) around 0 2.223 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.223 * [taylor]: Taking taylor expansion of PI in b 2.223 * [backup-simplify]: Simplify PI into PI 2.223 * [taylor]: Taking taylor expansion of b in b 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 1 into 1 2.224 * [backup-simplify]: Simplify (/ PI 1) into PI 2.224 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.224 * [taylor]: Taking taylor expansion of PI in b 2.224 * [backup-simplify]: Simplify PI into PI 2.224 * [taylor]: Taking taylor expansion of b in b 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (/ PI 1) into PI 2.225 * [backup-simplify]: Simplify PI into PI 2.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 2.229 * [backup-simplify]: Simplify (/ PI (/ 1 b)) into (* b PI) 2.229 * [approximate]: Taking taylor expansion of (* b PI) in (b) around 0 2.229 * [taylor]: Taking taylor expansion of (* b PI) in b 2.229 * [taylor]: Taking taylor expansion of b in b 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify 1 into 1 2.230 * [taylor]: Taking taylor expansion of PI in b 2.230 * [backup-simplify]: Simplify PI into PI 2.230 * [taylor]: Taking taylor expansion of (* b PI) in b 2.230 * [taylor]: Taking taylor expansion of b in b 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [taylor]: Taking taylor expansion of PI in b 2.230 * [backup-simplify]: Simplify PI into PI 2.230 * [backup-simplify]: Simplify (* 0 PI) into 0 2.230 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.232 * [backup-simplify]: Simplify PI into PI 2.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.233 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.236 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 2.237 * [backup-simplify]: Simplify (/ PI (/ 1 (- b))) into (* -1 (* b PI)) 2.237 * [approximate]: Taking taylor expansion of (* -1 (* b PI)) in (b) around 0 2.237 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 2.237 * [taylor]: Taking taylor expansion of -1 in b 2.237 * [backup-simplify]: Simplify -1 into -1 2.237 * [taylor]: Taking taylor expansion of (* b PI) in b 2.237 * [taylor]: Taking taylor expansion of b in b 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify 1 into 1 2.237 * [taylor]: Taking taylor expansion of PI in b 2.237 * [backup-simplify]: Simplify PI into PI 2.237 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 2.237 * [taylor]: Taking taylor expansion of -1 in b 2.237 * [backup-simplify]: Simplify -1 into -1 2.237 * [taylor]: Taking taylor expansion of (* b PI) in b 2.237 * [taylor]: Taking taylor expansion of b in b 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify 1 into 1 2.237 * [taylor]: Taking taylor expansion of PI in b 2.237 * [backup-simplify]: Simplify PI into PI 2.237 * [backup-simplify]: Simplify (* 0 PI) into 0 2.238 * [backup-simplify]: Simplify (* -1 0) into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.248 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 2.249 * [backup-simplify]: Simplify (- PI) into (- PI) 2.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.250 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.251 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.251 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.253 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.253 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.254 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.254 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.256 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.256 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.258 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.258 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- b))) into (/ PI b) 2.259 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 2.259 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.259 * [approximate]: Taking taylor expansion of (/ PI a) in (a) around 0 2.259 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.259 * [taylor]: Taking taylor expansion of PI in a 2.259 * [backup-simplify]: Simplify PI into PI 2.259 * [taylor]: Taking taylor expansion of a in a 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 1 into 1 2.259 * [backup-simplify]: Simplify (/ PI 1) into PI 2.259 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.259 * [taylor]: Taking taylor expansion of PI in a 2.259 * [backup-simplify]: Simplify PI into PI 2.259 * [taylor]: Taking taylor expansion of a in a 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 1 into 1 2.260 * [backup-simplify]: Simplify (/ PI 1) into PI 2.260 * [backup-simplify]: Simplify PI into PI 2.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.260 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.261 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.262 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 2.263 * [backup-simplify]: Simplify (/ PI (/ 1 a)) into (* a PI) 2.263 * [approximate]: Taking taylor expansion of (* a PI) in (a) around 0 2.263 * [taylor]: Taking taylor expansion of (* a PI) in a 2.264 * [taylor]: Taking taylor expansion of a in a 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 1 into 1 2.264 * [taylor]: Taking taylor expansion of PI in a 2.264 * [backup-simplify]: Simplify PI into PI 2.264 * [taylor]: Taking taylor expansion of (* a PI) in a 2.264 * [taylor]: Taking taylor expansion of a in a 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 1 into 1 2.264 * [taylor]: Taking taylor expansion of PI in a 2.264 * [backup-simplify]: Simplify PI into PI 2.264 * [backup-simplify]: Simplify (* 0 PI) into 0 2.264 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.265 * [backup-simplify]: Simplify PI into PI 2.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.265 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.269 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 2.270 * [backup-simplify]: Simplify (/ PI (/ 1 (- a))) into (* -1 (* a PI)) 2.270 * [approximate]: Taking taylor expansion of (* -1 (* a PI)) in (a) around 0 2.270 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 2.270 * [taylor]: Taking taylor expansion of -1 in a 2.270 * [backup-simplify]: Simplify -1 into -1 2.270 * [taylor]: Taking taylor expansion of (* a PI) in a 2.270 * [taylor]: Taking taylor expansion of a in a 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 1 into 1 2.270 * [taylor]: Taking taylor expansion of PI in a 2.270 * [backup-simplify]: Simplify PI into PI 2.270 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 2.270 * [taylor]: Taking taylor expansion of -1 in a 2.270 * [backup-simplify]: Simplify -1 into -1 2.270 * [taylor]: Taking taylor expansion of (* a PI) in a 2.270 * [taylor]: Taking taylor expansion of a in a 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 1 into 1 2.270 * [taylor]: Taking taylor expansion of PI in a 2.271 * [backup-simplify]: Simplify PI into PI 2.271 * [backup-simplify]: Simplify (* 0 PI) into 0 2.271 * [backup-simplify]: Simplify (* -1 0) into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.273 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 2.273 * [backup-simplify]: Simplify (- PI) into (- PI) 2.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.274 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 2.274 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.276 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.277 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.279 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.279 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.281 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.285 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- a))) into (/ PI a) 2.285 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.286 * [backup-simplify]: Simplify (/ (- (/ PI a) (/ PI b)) (- b a)) into (/ (- (/ PI a) (/ PI b)) (- b a)) 2.286 * [approximate]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (- b a)) in (a b) around 0 2.286 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (- b a)) in b 2.286 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 2.286 * [taylor]: Taking taylor expansion of (/ PI a) in b 2.286 * [taylor]: Taking taylor expansion of PI in b 2.286 * [backup-simplify]: Simplify PI into PI 2.286 * [taylor]: Taking taylor expansion of a in b 2.286 * [backup-simplify]: Simplify a into a 2.286 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.286 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.286 * [taylor]: Taking taylor expansion of PI in b 2.286 * [backup-simplify]: Simplify PI into PI 2.286 * [taylor]: Taking taylor expansion of b in b 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.287 * [backup-simplify]: Simplify (/ PI 1) into PI 2.287 * [taylor]: Taking taylor expansion of (- b a) in b 2.287 * [taylor]: Taking taylor expansion of b in b 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify 1 into 1 2.287 * [taylor]: Taking taylor expansion of a in b 2.287 * [backup-simplify]: Simplify a into a 2.288 * [backup-simplify]: Simplify (- PI) into (- PI) 2.289 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.289 * [backup-simplify]: Simplify (- a) into (- a) 2.289 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 2.289 * [backup-simplify]: Simplify (/ (- PI) (- a)) into (/ PI a) 2.289 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (- b a)) in a 2.289 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 2.289 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.289 * [taylor]: Taking taylor expansion of PI in a 2.289 * [backup-simplify]: Simplify PI into PI 2.289 * [taylor]: Taking taylor expansion of a in a 2.289 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 1 into 1 2.290 * [backup-simplify]: Simplify (/ PI 1) into PI 2.290 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.290 * [taylor]: Taking taylor expansion of PI in a 2.290 * [backup-simplify]: Simplify PI into PI 2.290 * [taylor]: Taking taylor expansion of b in a 2.290 * [backup-simplify]: Simplify b into b 2.290 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.290 * [taylor]: Taking taylor expansion of (- b a) in a 2.290 * [taylor]: Taking taylor expansion of b in a 2.290 * [backup-simplify]: Simplify b into b 2.290 * [taylor]: Taking taylor expansion of a in a 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 1 into 1 2.291 * [backup-simplify]: Simplify (+ PI 0) into PI 2.291 * [backup-simplify]: Simplify (- 0) into 0 2.291 * [backup-simplify]: Simplify (+ b 0) into b 2.291 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.291 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (- b a)) in a 2.291 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 2.291 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.291 * [taylor]: Taking taylor expansion of PI in a 2.291 * [backup-simplify]: Simplify PI into PI 2.291 * [taylor]: Taking taylor expansion of a in a 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (/ PI 1) into PI 2.292 * [taylor]: Taking taylor expansion of (/ PI b) 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 b in a 2.292 * [backup-simplify]: Simplify b into b 2.292 * [backup-simplify]: Simplify (/ PI b) into (/ PI 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 2.293 * [backup-simplify]: Simplify (+ PI 0) into PI 2.293 * [backup-simplify]: Simplify (- 0) into 0 2.293 * [backup-simplify]: Simplify (+ b 0) into b 2.293 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.293 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.293 * [taylor]: Taking taylor expansion of PI in b 2.293 * [backup-simplify]: Simplify PI into PI 2.293 * [taylor]: Taking taylor expansion of b in b 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.294 * [backup-simplify]: Simplify (/ PI 1) into PI 2.294 * [backup-simplify]: Simplify PI into PI 2.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.295 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 2.295 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 2.296 * [backup-simplify]: Simplify (- 1) into -1 2.296 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.296 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) b) (+ (* (/ PI b) (/ -1 b)))) into 0 2.296 * [taylor]: Taking taylor expansion of 0 in b 2.296 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.297 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.299 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 2.299 * [backup-simplify]: Simplify (- 0) into 0 2.300 * [backup-simplify]: Simplify (+ 0 0) into 0 2.300 * [backup-simplify]: Simplify (- 0) into 0 2.300 * [backup-simplify]: Simplify (+ 0 0) into 0 2.300 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ -1 b)))) into 0 2.300 * [taylor]: Taking taylor expansion of 0 in b 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 2.304 * [backup-simplify]: Simplify (- 0) into 0 2.304 * [backup-simplify]: Simplify (+ 0 0) into 0 2.305 * [backup-simplify]: Simplify (- 0) into 0 2.305 * [backup-simplify]: Simplify (+ 0 0) into 0 2.305 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ -1 b)))) into 0 2.305 * [taylor]: Taking taylor expansion of 0 in b 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 2.306 * [backup-simplify]: Simplify (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (- (/ 1 b) (/ 1 a))) into (/ (- (* a PI) (* PI b)) (- (/ 1 b) (/ 1 a))) 2.306 * [approximate]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (- (/ 1 b) (/ 1 a))) in (a b) around 0 2.306 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (- (/ 1 b) (/ 1 a))) in b 2.306 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in b 2.306 * [taylor]: Taking taylor expansion of (* a PI) in b 2.306 * [taylor]: Taking taylor expansion of a in b 2.306 * [backup-simplify]: Simplify a into a 2.306 * [taylor]: Taking taylor expansion of PI in b 2.306 * [backup-simplify]: Simplify PI into PI 2.306 * [taylor]: Taking taylor expansion of (* PI b) in b 2.306 * [taylor]: Taking taylor expansion of PI in b 2.306 * [backup-simplify]: Simplify PI into PI 2.306 * [taylor]: Taking taylor expansion of b in b 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 2.306 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.306 * [taylor]: Taking taylor expansion of b in b 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.307 * [backup-simplify]: Simplify (/ 1 1) into 1 2.307 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.307 * [taylor]: Taking taylor expansion of a in b 2.307 * [backup-simplify]: Simplify a into a 2.307 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.307 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.307 * [backup-simplify]: Simplify (* PI 0) into 0 2.307 * [backup-simplify]: Simplify (- 0) into 0 2.307 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 2.308 * [backup-simplify]: Simplify (+ 1 0) into 1 2.308 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.308 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (- (/ 1 b) (/ 1 a))) in a 2.308 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 2.308 * [taylor]: Taking taylor expansion of (* a PI) in a 2.308 * [taylor]: Taking taylor expansion of a in a 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify 1 into 1 2.308 * [taylor]: Taking taylor expansion of PI in a 2.308 * [backup-simplify]: Simplify PI into PI 2.308 * [taylor]: Taking taylor expansion of (* PI b) in a 2.308 * [taylor]: Taking taylor expansion of PI in a 2.308 * [backup-simplify]: Simplify PI into PI 2.308 * [taylor]: Taking taylor expansion of b in a 2.308 * [backup-simplify]: Simplify b into b 2.308 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.308 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.308 * [taylor]: Taking taylor expansion of b in a 2.308 * [backup-simplify]: Simplify b into b 2.308 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.308 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.308 * [taylor]: Taking taylor expansion of a in a 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify 1 into 1 2.308 * [backup-simplify]: Simplify (/ 1 1) into 1 2.309 * [backup-simplify]: Simplify (* 0 PI) into 0 2.309 * [backup-simplify]: Simplify (* PI b) into (* b PI) 2.309 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 2.309 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 2.309 * [backup-simplify]: Simplify (- 1) into -1 2.309 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.309 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 2.309 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (- (/ 1 b) (/ 1 a))) in a 2.309 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 2.309 * [taylor]: Taking taylor expansion of (* a PI) in a 2.309 * [taylor]: Taking taylor expansion of a in a 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 1 into 1 2.309 * [taylor]: Taking taylor expansion of PI in a 2.309 * [backup-simplify]: Simplify PI into PI 2.309 * [taylor]: Taking taylor expansion of (* PI b) in a 2.310 * [taylor]: Taking taylor expansion of PI in a 2.310 * [backup-simplify]: Simplify PI into PI 2.310 * [taylor]: Taking taylor expansion of b in a 2.310 * [backup-simplify]: Simplify b into b 2.310 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.310 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.310 * [taylor]: Taking taylor expansion of b in a 2.310 * [backup-simplify]: Simplify b into b 2.310 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.310 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.310 * [taylor]: Taking taylor expansion of a in a 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify 1 into 1 2.310 * [backup-simplify]: Simplify (/ 1 1) into 1 2.310 * [backup-simplify]: Simplify (* 0 PI) into 0 2.310 * [backup-simplify]: Simplify (* PI b) into (* b PI) 2.310 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 2.310 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 2.311 * [backup-simplify]: Simplify (- 1) into -1 2.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.311 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 2.311 * [taylor]: Taking taylor expansion of (* b PI) in b 2.311 * [taylor]: Taking taylor expansion of b in b 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 1 into 1 2.311 * [taylor]: Taking taylor expansion of PI in b 2.311 * [backup-simplify]: Simplify PI into PI 2.312 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.312 * [backup-simplify]: Simplify PI into PI 2.313 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.313 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 2.313 * [backup-simplify]: Simplify (- 0) into 0 2.314 * [backup-simplify]: Simplify (+ PI 0) into PI 2.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.315 * [backup-simplify]: Simplify (- 0) into 0 2.315 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 2.315 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* b PI) (/ (/ 1 b) -1)))) into 0 2.315 * [taylor]: Taking taylor expansion of 0 in b 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.316 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.317 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 2.317 * [backup-simplify]: Simplify (- 0) into 0 2.317 * [backup-simplify]: Simplify (+ 0 0) into 0 2.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (- 0) into 0 2.318 * [backup-simplify]: Simplify (+ 0 0) into 0 2.319 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 2.319 * [taylor]: Taking taylor expansion of 0 in b 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.321 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 2.321 * [backup-simplify]: Simplify (- 0) into 0 2.322 * [backup-simplify]: Simplify (+ 0 0) into 0 2.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 2.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify (- 0) into 0 2.323 * [backup-simplify]: Simplify (+ 0 0) into 0 2.324 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 2.324 * [taylor]: Taking taylor expansion of 0 in b 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 2.324 * [backup-simplify]: Simplify (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) into (/ (- (* b PI) (* a PI)) (- (/ 1 a) (/ 1 b))) 2.324 * [approximate]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (- (/ 1 a) (/ 1 b))) in (a b) around 0 2.324 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (- (/ 1 a) (/ 1 b))) in b 2.324 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in b 2.324 * [taylor]: Taking taylor expansion of (* b PI) in b 2.324 * [taylor]: Taking taylor expansion of b in b 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 1 into 1 2.324 * [taylor]: Taking taylor expansion of PI in b 2.324 * [backup-simplify]: Simplify PI into PI 2.324 * [taylor]: Taking taylor expansion of (* a PI) in b 2.324 * [taylor]: Taking taylor expansion of a in b 2.324 * [backup-simplify]: Simplify a into a 2.324 * [taylor]: Taking taylor expansion of PI in b 2.324 * [backup-simplify]: Simplify PI into PI 2.324 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 2.324 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.324 * [taylor]: Taking taylor expansion of a in b 2.324 * [backup-simplify]: Simplify a into a 2.324 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.324 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.324 * [taylor]: Taking taylor expansion of b in b 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 1 into 1 2.324 * [backup-simplify]: Simplify (/ 1 1) into 1 2.325 * [backup-simplify]: Simplify (* 0 PI) into 0 2.325 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.325 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 2.325 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 2.325 * [backup-simplify]: Simplify (- 1) into -1 2.325 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.325 * [backup-simplify]: Simplify (/ (- (* a PI)) -1) into (* a PI) 2.326 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (- (/ 1 a) (/ 1 b))) in a 2.326 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 2.326 * [taylor]: Taking taylor expansion of (* b PI) in a 2.326 * [taylor]: Taking taylor expansion of b in a 2.326 * [backup-simplify]: Simplify b into b 2.326 * [taylor]: Taking taylor expansion of PI in a 2.326 * [backup-simplify]: Simplify PI into PI 2.326 * [taylor]: Taking taylor expansion of (* a PI) in a 2.326 * [taylor]: Taking taylor expansion of a in a 2.326 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify 1 into 1 2.326 * [taylor]: Taking taylor expansion of PI in a 2.326 * [backup-simplify]: Simplify PI into PI 2.326 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.326 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.326 * [taylor]: Taking taylor expansion of a in a 2.326 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify 1 into 1 2.326 * [backup-simplify]: Simplify (/ 1 1) into 1 2.326 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.326 * [taylor]: Taking taylor expansion of b in a 2.326 * [backup-simplify]: Simplify b into b 2.326 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.326 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.326 * [backup-simplify]: Simplify (* 0 PI) into 0 2.327 * [backup-simplify]: Simplify (- 0) into 0 2.327 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 2.327 * [backup-simplify]: Simplify (+ 1 0) into 1 2.327 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.327 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (- (/ 1 a) (/ 1 b))) in a 2.327 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 2.327 * [taylor]: Taking taylor expansion of (* b PI) in a 2.327 * [taylor]: Taking taylor expansion of b in a 2.327 * [backup-simplify]: Simplify b into b 2.327 * [taylor]: Taking taylor expansion of PI in a 2.327 * [backup-simplify]: Simplify PI into PI 2.327 * [taylor]: Taking taylor expansion of (* a PI) in a 2.327 * [taylor]: Taking taylor expansion of a in a 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 1 into 1 2.327 * [taylor]: Taking taylor expansion of PI in a 2.327 * [backup-simplify]: Simplify PI into PI 2.327 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.327 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.327 * [taylor]: Taking taylor expansion of a in a 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 1 into 1 2.327 * [backup-simplify]: Simplify (/ 1 1) into 1 2.328 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.328 * [taylor]: Taking taylor expansion of b in a 2.328 * [backup-simplify]: Simplify b into b 2.328 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.328 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.328 * [backup-simplify]: Simplify (* 0 PI) into 0 2.328 * [backup-simplify]: Simplify (- 0) into 0 2.328 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 2.328 * [backup-simplify]: Simplify (+ 1 0) into 1 2.329 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.329 * [taylor]: Taking taylor expansion of (* PI b) 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 b in b 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 1 into 1 2.330 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.330 * [backup-simplify]: Simplify PI into PI 2.330 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.331 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.331 * [backup-simplify]: Simplify (- PI) into (- PI) 2.332 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.332 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 2.332 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 2.333 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ (- (/ 1 b)) 1)))) into 0 2.333 * [taylor]: Taking taylor expansion of 0 in b 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 0 into 0 2.334 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.334 * [backup-simplify]: Simplify 0 into 0 2.334 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.335 * [backup-simplify]: Simplify (- 0) into 0 2.335 * [backup-simplify]: Simplify (+ 0 0) into 0 2.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.336 * [backup-simplify]: Simplify (- 0) into 0 2.336 * [backup-simplify]: Simplify (+ 0 0) into 0 2.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 2.337 * [taylor]: Taking taylor expansion of 0 in b 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.339 * [backup-simplify]: Simplify (- 0) into 0 2.339 * [backup-simplify]: Simplify (+ 0 0) into 0 2.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 2.340 * [backup-simplify]: Simplify (- 0) into 0 2.340 * [backup-simplify]: Simplify (+ 0 0) into 0 2.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 2.341 * [taylor]: Taking taylor expansion of 0 in b 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify (* PI (* (/ 1 (- b)) (/ 1 (- a)))) into (/ PI (* a b)) 2.341 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.342 * [backup-simplify]: Simplify (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ a b)) into (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) 2.342 * [approximate]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in (a b) around 0 2.342 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in b 2.342 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 2.342 * [taylor]: Taking taylor expansion of (/ PI a) in b 2.342 * [taylor]: Taking taylor expansion of PI in b 2.342 * [backup-simplify]: Simplify PI into PI 2.342 * [taylor]: Taking taylor expansion of a in b 2.342 * [backup-simplify]: Simplify a into a 2.342 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.342 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.342 * [taylor]: Taking taylor expansion of PI in b 2.342 * [backup-simplify]: Simplify PI into PI 2.342 * [taylor]: Taking taylor expansion of b in b 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.689 * [backup-simplify]: Simplify (/ PI 1) into PI 2.689 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 2.689 * [taylor]: Taking taylor expansion of (- b a) in b 2.689 * [taylor]: Taking taylor expansion of b in b 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.689 * [taylor]: Taking taylor expansion of a in b 2.689 * [backup-simplify]: Simplify a into a 2.689 * [taylor]: Taking taylor expansion of (+ a b) in b 2.689 * [taylor]: Taking taylor expansion of a in b 2.689 * [backup-simplify]: Simplify a into a 2.689 * [taylor]: Taking taylor expansion of b in b 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.690 * [backup-simplify]: Simplify (- PI) into (- PI) 2.691 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.691 * [backup-simplify]: Simplify (- a) into (- a) 2.691 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 2.691 * [backup-simplify]: Simplify (+ a 0) into a 2.691 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 2.692 * [backup-simplify]: Simplify (/ (- PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 2.692 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 2.692 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 2.692 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.692 * [taylor]: Taking taylor expansion of PI in a 2.692 * [backup-simplify]: Simplify PI into PI 2.692 * [taylor]: Taking taylor expansion of a in a 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.693 * [backup-simplify]: Simplify (/ PI 1) into PI 2.693 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.693 * [taylor]: Taking taylor expansion of PI in a 2.693 * [backup-simplify]: Simplify PI into PI 2.693 * [taylor]: Taking taylor expansion of b in a 2.693 * [backup-simplify]: Simplify b into b 2.693 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.693 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 2.693 * [taylor]: Taking taylor expansion of (- b a) in a 2.693 * [taylor]: Taking taylor expansion of b in a 2.693 * [backup-simplify]: Simplify b into b 2.693 * [taylor]: Taking taylor expansion of a in a 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [taylor]: Taking taylor expansion of (+ a b) in a 2.693 * [taylor]: Taking taylor expansion of a in a 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [taylor]: Taking taylor expansion of b in a 2.693 * [backup-simplify]: Simplify b into b 2.694 * [backup-simplify]: Simplify (+ PI 0) into PI 2.694 * [backup-simplify]: Simplify (- 0) into 0 2.694 * [backup-simplify]: Simplify (+ b 0) into b 2.694 * [backup-simplify]: Simplify (+ 0 b) into b 2.694 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.694 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.694 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 2.694 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 2.694 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.694 * [taylor]: Taking taylor expansion of PI in a 2.694 * [backup-simplify]: Simplify PI into PI 2.695 * [taylor]: Taking taylor expansion of a in a 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify 1 into 1 2.695 * [backup-simplify]: Simplify (/ PI 1) into PI 2.695 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.695 * [taylor]: Taking taylor expansion of PI in a 2.695 * [backup-simplify]: Simplify PI into PI 2.695 * [taylor]: Taking taylor expansion of b in a 2.695 * [backup-simplify]: Simplify b into b 2.695 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.695 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 2.695 * [taylor]: Taking taylor expansion of (- b a) in a 2.695 * [taylor]: Taking taylor expansion of b in a 2.695 * [backup-simplify]: Simplify b into b 2.695 * [taylor]: Taking taylor expansion of a in a 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify 1 into 1 2.696 * [taylor]: Taking taylor expansion of (+ a b) in a 2.696 * [taylor]: Taking taylor expansion of a in a 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 1 into 1 2.696 * [taylor]: Taking taylor expansion of b in a 2.696 * [backup-simplify]: Simplify b into b 2.696 * [backup-simplify]: Simplify (+ PI 0) into PI 2.697 * [backup-simplify]: Simplify (- 0) into 0 2.697 * [backup-simplify]: Simplify (+ b 0) into b 2.697 * [backup-simplify]: Simplify (+ 0 b) into b 2.697 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.697 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.697 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.697 * [taylor]: Taking taylor expansion of PI in b 2.697 * [backup-simplify]: Simplify PI into PI 2.697 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.697 * [taylor]: Taking taylor expansion of b in b 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify 1 into 1 2.698 * [backup-simplify]: Simplify (* 1 1) into 1 2.701 * [backup-simplify]: Simplify (/ PI 1) into PI 2.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.702 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.703 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 2.704 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 2.704 * [backup-simplify]: Simplify (+ 1 0) into 1 2.704 * [backup-simplify]: Simplify (- 1) into -1 2.705 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.705 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 2.705 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into (- (/ PI (pow b 3))) 2.705 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 3))) in b 2.705 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.705 * [taylor]: Taking taylor expansion of PI in b 2.706 * [backup-simplify]: Simplify PI into PI 2.706 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.706 * [taylor]: Taking taylor expansion of b in b 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify 1 into 1 2.706 * [backup-simplify]: Simplify (* 1 1) into 1 2.707 * [backup-simplify]: Simplify (* 1 1) into 1 2.707 * [backup-simplify]: Simplify (/ PI 1) into PI 2.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.713 * [backup-simplify]: Simplify (- 0) into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.715 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.716 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 2.717 * [backup-simplify]: Simplify (- 0) into 0 2.717 * [backup-simplify]: Simplify (+ 0 0) into 0 2.717 * [backup-simplify]: Simplify (+ 0 0) into 0 2.718 * [backup-simplify]: Simplify (- 0) into 0 2.718 * [backup-simplify]: Simplify (+ 0 0) into 0 2.719 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 2.720 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* (- (/ PI (pow b 3))) (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 2.720 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 2.720 * [taylor]: Taking taylor expansion of PI in b 2.720 * [backup-simplify]: Simplify PI into PI 2.720 * [taylor]: Taking taylor expansion of (pow b 4) in b 2.720 * [taylor]: Taking taylor expansion of b in b 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 1 into 1 2.720 * [backup-simplify]: Simplify (* 1 1) into 1 2.721 * [backup-simplify]: Simplify (* 1 1) into 1 2.721 * [backup-simplify]: Simplify (/ PI 1) into PI 2.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.730 * [backup-simplify]: Simplify (- 0) into 0 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (- (/ 1 b) (/ 1 a))) (+ (/ 1 a) (/ 1 b))) into (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) 2.731 * [approximate]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.731 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 2.731 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in b 2.731 * [taylor]: Taking taylor expansion of (* a PI) in b 2.731 * [taylor]: Taking taylor expansion of a in b 2.731 * [backup-simplify]: Simplify a into a 2.731 * [taylor]: Taking taylor expansion of PI in b 2.731 * [backup-simplify]: Simplify PI into PI 2.731 * [taylor]: Taking taylor expansion of (* PI b) in b 2.732 * [taylor]: Taking taylor expansion of PI in b 2.732 * [backup-simplify]: Simplify PI into PI 2.732 * [taylor]: Taking taylor expansion of b in b 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.732 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 2.732 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 2.732 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.732 * [taylor]: Taking taylor expansion of b in b 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.732 * [backup-simplify]: Simplify (/ 1 1) into 1 2.732 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.732 * [taylor]: Taking taylor expansion of a in b 2.732 * [backup-simplify]: Simplify a into a 2.732 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.732 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.732 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.732 * [taylor]: Taking taylor expansion of a in b 2.732 * [backup-simplify]: Simplify a into a 2.732 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.732 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.732 * [taylor]: Taking taylor expansion of b in b 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.732 * [backup-simplify]: Simplify (/ 1 1) into 1 2.732 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.733 * [backup-simplify]: Simplify (* PI 0) into 0 2.733 * [backup-simplify]: Simplify (- 0) into 0 2.733 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 2.733 * [backup-simplify]: Simplify (+ 1 0) into 1 2.734 * [backup-simplify]: Simplify (+ 0 1) into 1 2.734 * [backup-simplify]: Simplify (* 1 1) into 1 2.734 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.734 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 2.734 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 2.734 * [taylor]: Taking taylor expansion of (* a PI) in a 2.734 * [taylor]: Taking taylor expansion of a in a 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.734 * [taylor]: Taking taylor expansion of PI in a 2.734 * [backup-simplify]: Simplify PI into PI 2.734 * [taylor]: Taking taylor expansion of (* PI b) in a 2.734 * [taylor]: Taking taylor expansion of PI in a 2.734 * [backup-simplify]: Simplify PI into PI 2.734 * [taylor]: Taking taylor expansion of b in a 2.734 * [backup-simplify]: Simplify b into b 2.734 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 2.734 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.734 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.734 * [taylor]: Taking taylor expansion of b in a 2.734 * [backup-simplify]: Simplify b into b 2.734 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.734 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.734 * [taylor]: Taking taylor expansion of a in a 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (/ 1 1) into 1 2.735 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.735 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.735 * [taylor]: Taking taylor expansion of a in a 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (/ 1 1) into 1 2.735 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.735 * [taylor]: Taking taylor expansion of b in a 2.735 * [backup-simplify]: Simplify b into b 2.735 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.735 * [backup-simplify]: Simplify (* 0 PI) into 0 2.735 * [backup-simplify]: Simplify (* PI b) into (* b PI) 2.735 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 2.735 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 2.736 * [backup-simplify]: Simplify (- 1) into -1 2.736 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.736 * [backup-simplify]: Simplify (+ 1 0) into 1 2.737 * [backup-simplify]: Simplify (* -1 1) into -1 2.737 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 2.737 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 2.737 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 2.737 * [taylor]: Taking taylor expansion of (* a PI) in a 2.737 * [taylor]: Taking taylor expansion of a in a 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [taylor]: Taking taylor expansion of PI in a 2.737 * [backup-simplify]: Simplify PI into PI 2.737 * [taylor]: Taking taylor expansion of (* PI b) in a 2.737 * [taylor]: Taking taylor expansion of PI in a 2.737 * [backup-simplify]: Simplify PI into PI 2.737 * [taylor]: Taking taylor expansion of b in a 2.737 * [backup-simplify]: Simplify b into b 2.737 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 2.737 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.737 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.737 * [taylor]: Taking taylor expansion of b in a 2.737 * [backup-simplify]: Simplify b into b 2.737 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.737 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.737 * [taylor]: Taking taylor expansion of a in a 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [backup-simplify]: Simplify (/ 1 1) into 1 2.737 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.737 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.737 * [taylor]: Taking taylor expansion of a in a 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.738 * [backup-simplify]: Simplify (/ 1 1) into 1 2.738 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.738 * [taylor]: Taking taylor expansion of b in a 2.738 * [backup-simplify]: Simplify b into b 2.738 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.738 * [backup-simplify]: Simplify (* 0 PI) into 0 2.738 * [backup-simplify]: Simplify (* PI b) into (* b PI) 2.738 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 2.738 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 2.738 * [backup-simplify]: Simplify (- 1) into -1 2.739 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.739 * [backup-simplify]: Simplify (+ 1 0) into 1 2.739 * [backup-simplify]: Simplify (* -1 1) into -1 2.739 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 2.739 * [taylor]: Taking taylor expansion of (* b PI) in b 2.739 * [taylor]: Taking taylor expansion of b in b 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [taylor]: Taking taylor expansion of PI in b 2.739 * [backup-simplify]: Simplify PI into PI 2.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.741 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 2.741 * [backup-simplify]: Simplify (- 0) into 0 2.742 * [backup-simplify]: Simplify (+ PI 0) into PI 2.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify (- 0) into 0 2.743 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 2.743 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 2.744 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* b PI) (/ 0 -1)))) into (- PI) 2.744 * [taylor]: Taking taylor expansion of (- PI) in b 2.744 * [taylor]: Taking taylor expansion of PI in b 2.744 * [backup-simplify]: Simplify PI into PI 2.744 * [backup-simplify]: Simplify (- 0) into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.746 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 2.746 * [backup-simplify]: Simplify (- 0) into 0 2.746 * [backup-simplify]: Simplify (+ 0 0) into 0 2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.747 * [backup-simplify]: Simplify (+ 0 0) into 0 2.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.748 * [backup-simplify]: Simplify (- 0) into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.749 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 2.750 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ (/ 1 (pow b 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI b) 2.750 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.750 * [taylor]: Taking taylor expansion of PI in b 2.750 * [backup-simplify]: Simplify PI into PI 2.750 * [taylor]: Taking taylor expansion of b in b 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.751 * [backup-simplify]: Simplify (/ PI 1) into PI 2.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (- 0) into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) 2.755 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 2.755 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in b 2.755 * [taylor]: Taking taylor expansion of -1 in b 2.755 * [backup-simplify]: Simplify -1 into -1 2.755 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in b 2.755 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in b 2.755 * [taylor]: Taking taylor expansion of (* b PI) in b 2.755 * [taylor]: Taking taylor expansion of b in b 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [taylor]: Taking taylor expansion of PI in b 2.755 * [backup-simplify]: Simplify PI into PI 2.755 * [taylor]: Taking taylor expansion of (* a PI) in b 2.755 * [taylor]: Taking taylor expansion of a in b 2.755 * [backup-simplify]: Simplify a into a 2.755 * [taylor]: Taking taylor expansion of PI in b 2.755 * [backup-simplify]: Simplify PI into PI 2.755 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in b 2.755 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 2.755 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.755 * [taylor]: Taking taylor expansion of a in b 2.755 * [backup-simplify]: Simplify a into a 2.755 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.755 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.755 * [taylor]: Taking taylor expansion of b in b 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.756 * [backup-simplify]: Simplify (/ 1 1) into 1 2.756 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.756 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.756 * [taylor]: Taking taylor expansion of a in b 2.756 * [backup-simplify]: Simplify a into a 2.756 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.756 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.756 * [taylor]: Taking taylor expansion of b in b 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 1 into 1 2.757 * [backup-simplify]: Simplify (/ 1 1) into 1 2.757 * [backup-simplify]: Simplify (* 0 PI) into 0 2.757 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.757 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 2.757 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 2.758 * [backup-simplify]: Simplify (- 1) into -1 2.758 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.759 * [backup-simplify]: Simplify (+ 0 1) into 1 2.759 * [backup-simplify]: Simplify (* -1 1) into -1 2.759 * [backup-simplify]: Simplify (/ (- (* a PI)) -1) into (* a PI) 2.759 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in a 2.759 * [taylor]: Taking taylor expansion of -1 in a 2.759 * [backup-simplify]: Simplify -1 into -1 2.759 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in a 2.759 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 2.759 * [taylor]: Taking taylor expansion of (* b PI) in a 2.759 * [taylor]: Taking taylor expansion of b in a 2.759 * [backup-simplify]: Simplify b into b 2.759 * [taylor]: Taking taylor expansion of PI in a 2.759 * [backup-simplify]: Simplify PI into PI 2.759 * [taylor]: Taking taylor expansion of (* a PI) in a 2.759 * [taylor]: Taking taylor expansion of a in a 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.760 * [taylor]: Taking taylor expansion of PI in a 2.760 * [backup-simplify]: Simplify PI into PI 2.760 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in a 2.760 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.760 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.760 * [taylor]: Taking taylor expansion of a in a 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.760 * [backup-simplify]: Simplify (/ 1 1) into 1 2.760 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.760 * [taylor]: Taking taylor expansion of b in a 2.760 * [backup-simplify]: Simplify b into b 2.760 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.760 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.760 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.760 * [taylor]: Taking taylor expansion of a in a 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (/ 1 1) into 1 2.761 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.761 * [taylor]: Taking taylor expansion of b in a 2.761 * [backup-simplify]: Simplify b into b 2.761 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.761 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.761 * [backup-simplify]: Simplify (* 0 PI) into 0 2.762 * [backup-simplify]: Simplify (- 0) into 0 2.762 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 2.762 * [backup-simplify]: Simplify (+ 1 0) into 1 2.763 * [backup-simplify]: Simplify (+ 1 0) into 1 2.763 * [backup-simplify]: Simplify (* 1 1) into 1 2.763 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.763 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in a 2.763 * [taylor]: Taking taylor expansion of -1 in a 2.763 * [backup-simplify]: Simplify -1 into -1 2.763 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in a 2.763 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 2.763 * [taylor]: Taking taylor expansion of (* b PI) in a 2.764 * [taylor]: Taking taylor expansion of b in a 2.764 * [backup-simplify]: Simplify b into b 2.764 * [taylor]: Taking taylor expansion of PI in a 2.764 * [backup-simplify]: Simplify PI into PI 2.764 * [taylor]: Taking taylor expansion of (* a PI) in a 2.764 * [taylor]: Taking taylor expansion of a in a 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 1 into 1 2.764 * [taylor]: Taking taylor expansion of PI in a 2.764 * [backup-simplify]: Simplify PI into PI 2.764 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in a 2.764 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.764 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.764 * [taylor]: Taking taylor expansion of a in a 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 1 into 1 2.764 * [backup-simplify]: Simplify (/ 1 1) into 1 2.764 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.764 * [taylor]: Taking taylor expansion of b in a 2.764 * [backup-simplify]: Simplify b into b 2.764 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.764 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.765 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.765 * [taylor]: Taking taylor expansion of a in a 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 1 into 1 2.765 * [backup-simplify]: Simplify (/ 1 1) into 1 2.765 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.765 * [taylor]: Taking taylor expansion of b in a 2.765 * [backup-simplify]: Simplify b into b 2.765 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.765 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.766 * [backup-simplify]: Simplify (* 0 PI) into 0 2.766 * [backup-simplify]: Simplify (- 0) into 0 2.766 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 2.767 * [backup-simplify]: Simplify (+ 1 0) into 1 2.767 * [backup-simplify]: Simplify (+ 1 0) into 1 2.767 * [backup-simplify]: Simplify (* 1 1) into 1 2.768 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.768 * [backup-simplify]: Simplify (* -1 (* PI b)) into (* -1 (* PI b)) 2.768 * [taylor]: Taking taylor expansion of (* -1 (* PI b)) in b 2.768 * [taylor]: Taking taylor expansion of -1 in b 2.768 * [backup-simplify]: Simplify -1 into -1 2.768 * [taylor]: Taking taylor expansion of (* PI b) in b 2.768 * [taylor]: Taking taylor expansion of PI in b 2.768 * [backup-simplify]: Simplify PI into PI 2.768 * [taylor]: Taking taylor expansion of b in b 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.769 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.771 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.771 * [backup-simplify]: Simplify (* PI 0) into 0 2.772 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.775 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.775 * [backup-simplify]: Simplify (- PI) into (- PI) 2.776 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.777 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.778 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 2.778 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 2.778 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (- (/ 1 b)) 1)) into 0 2.780 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ 0 1)))) into (- PI) 2.781 * [backup-simplify]: Simplify (+ (* -1 (- PI)) (* 0 (* PI b))) into PI 2.781 * [taylor]: Taking taylor expansion of PI in b 2.781 * [backup-simplify]: Simplify PI into PI 2.781 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.783 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.783 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.785 * [backup-simplify]: Simplify (- 0) into 0 2.786 * [backup-simplify]: Simplify (+ 0 0) into 0 2.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.787 * [backup-simplify]: Simplify (+ 0 0) into 0 2.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.789 * [backup-simplify]: Simplify (- 0) into 0 2.789 * [backup-simplify]: Simplify (+ 0 0) into 0 2.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) (/ 1 b)) (* 0 1))) into (- (/ 1 (pow b 2))) 2.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI b) 2.792 * [backup-simplify]: Simplify (+ (* -1 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (/ PI b)) 2.792 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 2.792 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.793 * [taylor]: Taking taylor expansion of PI in b 2.793 * [backup-simplify]: Simplify PI into PI 2.793 * [taylor]: Taking taylor expansion of b in b 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 1 into 1 2.793 * [backup-simplify]: Simplify (/ PI 1) into PI 2.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.797 * [backup-simplify]: Simplify (- 0) into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.800 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * * * [progress]: simplifying candidates 2.800 * * * * [progress]: [ 1 / 517 ] simplifiying candidate # 2.801 * * * * [progress]: [ 2 / 517 ] simplifiying candidate # 2.801 * * * * [progress]: [ 3 / 517 ] simplifiying candidate # 2.801 * * * * [progress]: [ 4 / 517 ] simplifiying candidate # 2.801 * * * * [progress]: [ 5 / 517 ] simplifiying candidate # 2.801 * * * * [progress]: [ 6 / 517 ] simplifiying candidate # 2.801 * * * * [progress]: [ 7 / 517 ] simplifiying candidate # 2.801 * * * * [progress]: [ 8 / 517 ] simplifiying candidate # 2.801 * * * * [progress]: [ 9 / 517 ] simplifiying candidate # 2.801 * * * * [progress]: [ 10 / 517 ] simplifiying candidate # 2.801 * * * * [progress]: [ 11 / 517 ] simplifiying candidate # 2.801 * * * * [progress]: [ 12 / 517 ] simplifiying candidate # 2.801 * * * * [progress]: [ 13 / 517 ] simplifiying candidate # 2.802 * * * * [progress]: [ 14 / 517 ] simplifiying candidate # 2.802 * * * * [progress]: [ 15 / 517 ] simplifiying candidate # 2.802 * * * * [progress]: [ 16 / 517 ] simplifiying candidate # 2.802 * * * * [progress]: [ 17 / 517 ] simplifiying candidate # 2.802 * * * * [progress]: [ 18 / 517 ] simplifiying candidate # 2.802 * * * * [progress]: [ 19 / 517 ] simplifiying candidate # 2.802 * * * * [progress]: [ 20 / 517 ] simplifiying candidate # 2.802 * * * * [progress]: [ 21 / 517 ] simplifiying candidate # 2.802 * * * * [progress]: [ 22 / 517 ] simplifiying candidate # 2.802 * * * * [progress]: [ 23 / 517 ] simplifiying candidate # 2.802 * * * * [progress]: [ 24 / 517 ] 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candidate # 2.804 * * * * [progress]: [ 55 / 517 ] simplifiying candidate # 2.804 * * * * [progress]: [ 56 / 517 ] simplifiying candidate #real (real->posit16 (/ PI a))) (/ PI b)) (- b a)) (+ a b)) 1/2))> 2.804 * * * * [progress]: [ 57 / 517 ] simplifiying candidate # 2.804 * * * * [progress]: [ 58 / 517 ] simplifiying candidate # 2.805 * * * * [progress]: [ 59 / 517 ] simplifiying candidate # 2.805 * * * * [progress]: [ 60 / 517 ] simplifiying candidate # 2.805 * * * * [progress]: [ 61 / 517 ] simplifiying candidate # 2.805 * * * * [progress]: [ 62 / 517 ] simplifiying candidate # 2.805 * * * * [progress]: [ 63 / 517 ] simplifiying candidate # 2.805 * * * * [progress]: [ 64 / 517 ] simplifiying candidate # 2.805 * * * * [progress]: [ 65 / 517 ] simplifiying candidate # 2.805 * * * * [progress]: [ 66 / 517 ] simplifiying candidate # 2.805 * * * * [progress]: [ 67 / 517 ] simplifiying candidate # 2.805 * * * * [progress]: [ 68 / 517 ] simplifiying candidate # 2.805 * * * * [progress]: [ 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(/ PI b) (/ 1 b) (/ b PI) (/ PI (* (cbrt b) (cbrt b))) (/ PI (sqrt b)) (/ PI 1) (/ b (cbrt PI)) (/ b (sqrt PI)) (/ b PI) (real->posit16 (/ PI b)) (- (log PI) (log a)) (log (/ PI a)) (exp (/ PI a)) (/ (* (* PI PI) PI) (* (* a a) a)) (* (cbrt (/ PI a)) (cbrt (/ PI a))) (cbrt (/ PI a)) (* (* (/ PI a) (/ PI a)) (/ PI a)) (sqrt (/ PI a)) (sqrt (/ PI a)) (- PI) (- a) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt a) (cbrt a))) (/ (cbrt PI) (cbrt a)) (/ (* (cbrt PI) (cbrt PI)) (sqrt a)) (/ (cbrt PI) (sqrt a)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) a) (/ (sqrt PI) (* (cbrt a) (cbrt a))) (/ (sqrt PI) (cbrt a)) (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) 1) (/ (sqrt PI) a) (/ 1 (* (cbrt a) (cbrt a))) (/ PI (cbrt a)) (/ 1 (sqrt a)) (/ PI (sqrt a)) (/ 1 1) (/ PI a) (/ 1 a) (/ a PI) (/ PI (* (cbrt a) (cbrt a))) (/ PI (sqrt a)) (/ PI 1) (/ a (cbrt PI)) (/ a (sqrt PI)) (/ a PI) (real->posit16 (/ PI a)) (- (log (- (/ PI a) (/ PI b))) (log (- b a))) (log (/ (- (/ PI a) (/ PI b)) (- b a))) (exp 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(/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ b a)) 1 (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ b a)) (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (cbrt (+ b a))) (/ 1 (* (cbrt (+ b a)) (- b a))) (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (/ (/ 1 (- b a)) (sqrt (+ b a))) (- (/ PI a) (/ PI b)) (/ 1 (* (+ b a) (- b a))) (- (/ PI a) (/ PI b)) (/ 1 (* (+ b a) (- b a))) (/ (/ (- (/ PI a) (/ PI b)) (- (* b (* b b)) (* a (* a a)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (+ (* a (+ b a)) (* b b)) (cbrt (+ b a))) (/ (/ (- (/ PI a) (/ PI b)) (- (* b (* b b)) (* a (* a a)))) (sqrt (+ b a))) (/ (+ (* a (+ b a)) (* b b)) (sqrt (+ b a))) (/ (- (/ PI a) (/ PI b)) (- (* b (* b b)) (* a (* a a)))) (/ (+ (* a (+ b a)) (* b b)) (+ b a)) (/ (- (/ PI a) (/ PI b)) (- (* b (* b b)) (* a (* a a)))) (/ (+ (* a (+ b a)) (* b b)) (+ b a)) (/ (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ b a)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (+ b a) (cbrt (+ b a))) (/ (- (/ PI a) (/ PI b)) (* (sqrt (+ b a)) (* (+ b a) (- b a)))) (/ (+ b a) (sqrt (+ b a))) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ b a)) (/ (+ b a) (+ b a)) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ b a)) (/ (+ b a) (+ b a)) (/ 1 (+ b a)) (/ (+ b a) (/ (- (/ PI a) (/ PI b)) (- b a))) (/ (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (cbrt (+ b a))) (cbrt (+ b a))) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (sqrt (+ b a))) (/ (- (/ PI a) (/ PI b)) (- b a)) (/ (- (/ PI a) (/ PI b)) (- b a)) (/ (+ b a) (cbrt (/ (- (/ PI a) (/ PI b)) (- b a)))) (/ (+ b a) (sqrt (/ (- (/ PI a) (/ PI b)) (- b a)))) (/ (+ b a) (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a)))) (/ (+ b a) (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (- b a)))) (/ (+ b a) (/ (cbrt (- (/ PI a) (/ PI b))) (- b a))) (* (/ (+ b a) (cbrt (- (/ PI a) (/ PI b)))) (- (sqrt b) (sqrt a))) (/ (+ b a) (/ (cbrt (- (/ PI a) (/ PI b))) (- b a))) (/ (+ b a) (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (- b a)))) (* (/ (+ b a) (sqrt (- (/ PI a) (/ PI b)))) (sqrt (- b a))) (* (/ (+ b a) (sqrt (- (/ PI a) (/ PI b)))) (- b a)) (* (/ (+ b a) (sqrt (- (/ PI a) (/ PI b)))) (- (sqrt b) (sqrt a))) (* (/ (+ b a) (sqrt (- (/ PI a) (/ PI b)))) (- b a)) (* (/ (+ b a) (- (/ PI a) (/ PI b))) (cbrt (- b a))) (/ (+ b a) (/ (- (/ PI a) (/ PI b)) (sqrt (- b a)))) (/ (+ b a) (/ (- (/ PI a) (/ PI b)) (- b a))) (* (/ (+ b a) (- (/ PI a) (/ PI b))) (- (sqrt b) (sqrt a))) (/ (+ b a) (/ (- (/ PI a) (/ PI b)) (- b a))) (* (/ (+ b a) (- (sqrt (/ PI a)) (sqrt (/ PI b)))) (cbrt (- b a))) (* (/ (+ b a) (- (sqrt (/ PI a)) (sqrt (/ PI b)))) (sqrt (- b a))) (/ (+ b a) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a))) (* (/ (+ b a) (- (sqrt (/ PI a)) (sqrt (/ PI b)))) (- (sqrt b) (sqrt a))) (/ (+ b a) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a))) (* (/ (+ b a) (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b)))) (cbrt (- b a))) (* (/ (+ b a) (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b)))) (sqrt (- b a))) (/ (+ b a) (/ (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b))) (- b a))) (* (/ (+ b a) (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b)))) (- (sqrt b) (sqrt a))) (/ (+ b a) (/ (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b))) (- b a))) (/ (+ b a) (/ (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) (cbrt (- b a)))) (* (/ (+ b a) (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b)))) (sqrt (- b a))) (/ (+ b a) (/ (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) (- b a))) (* (/ (+ b a) (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b)))) (- (sqrt b) (sqrt a))) (/ (+ b a) (/ (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) (- b a))) (/ (+ b a) (/ (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b))) (cbrt (- b a)))) (* (/ (+ b a) (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b)))) (sqrt (- b a))) (* (/ (+ b a) (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b)))) (- b a)) (* (/ (+ b a) (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b)))) (- (sqrt b) (sqrt a))) (* (/ (+ b a) (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b)))) (- b a)) (* (/ (+ b a) (- (/ (cbrt PI) a) (/ (cbrt PI) b))) (cbrt (- b a))) (/ (+ b a) (/ (- (/ (cbrt PI) a) (/ (cbrt PI) b)) (sqrt (- b a)))) (/ (+ b a) (/ (- (/ (cbrt PI) a) (/ (cbrt PI) b)) (- b a))) (/ (+ b a) (/ (- (/ (cbrt PI) a) (/ (cbrt PI) b)) (- (sqrt b) (sqrt a)))) (/ (+ b a) (/ (- (/ (cbrt PI) a) (/ (cbrt PI) b)) (- b a))) (* (/ (+ b a) (- (/ (sqrt PI) a) (/ (sqrt PI) b))) (cbrt (- b a))) (* (/ (+ b a) (- (/ (sqrt PI) a) (/ (sqrt PI) b))) (sqrt (- b a))) (* (/ (+ b a) (- (/ (sqrt PI) a) (/ (sqrt PI) b))) (- b a)) (/ (+ b a) (/ (- (/ (sqrt PI) a) (/ (sqrt PI) b)) (- (sqrt b) (sqrt a)))) (* (/ (+ b a) (- (/ (sqrt PI) a) (/ (sqrt PI) b))) (- b a)) (* (/ (+ b a) (- (/ PI a) (/ PI b))) (cbrt (- b a))) (/ (+ b a) (/ (- (/ PI a) (/ PI b)) (sqrt (- b a)))) (/ (+ b a) (/ (- (/ PI a) (/ PI b)) (- b a))) (* (/ (+ b a) (- (/ PI a) (/ PI b))) (- (sqrt b) (sqrt a))) (/ (+ b a) (/ (- (/ PI a) (/ PI b)) (- b a))) (* (/ (+ b a) (- (/ PI a) (/ PI b))) (cbrt (- b a))) (/ (+ b a) (/ (- (/ PI a) (/ PI b)) (sqrt (- b a)))) (/ (+ b a) (/ (- (/ PI a) (/ PI b)) (- b a))) (* (/ (+ b a) (- (/ PI a) (/ PI b))) (- (sqrt b) (sqrt a))) (/ (+ b a) (/ (- (/ PI a) (/ PI b)) (- b a))) (* (/ (+ b a) (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (/ (+ b a) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a)))) (/ (+ b a) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (+ b a) (/ (- (/ 1 a) (/ 1 b)) (- (sqrt b) (sqrt a)))) (/ (+ b a) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (+ b a) (/ (- (/ PI a) (/ PI b)) (- b a))) (* (/ (+ b a) 1) (- b a)) (/ (+ b a) (+ (* a (+ b a)) (* b b))) (/ (+ b a) (+ b a)) (/ (- (/ PI a) (/ PI b)) (* (+ (* b (* b b)) (* a (* a a))) (- b a))) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (- (* a a) (* b b))) (* (+ b a) (- b a)) (real->posit16 (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ b a))) (/ PI b) (/ PI b) (/ PI b) (/ PI a) (/ PI a) (/ PI a) (/ (/ PI a) b) (/ (/ PI a) b) (/ (/ PI a) b) 0 0 0 3.736 * * * [progress]: adding candidates to table 9.251 * * [progress]: iteration 2 / 4 9.251 * * * [progress]: picking best candidate 9.272 * * * * [pick]: Picked # 9.272 * * * [progress]: localizing error 9.286 * * * [progress]: generating rewritten candidates 9.286 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 9.292 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 9.326 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 9.360 * * * [progress]: generating series expansions 9.360 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 9.360 * [backup-simplify]: Simplify (/ PI (* a b)) into (/ PI (* a b)) 9.360 * [approximate]: Taking taylor expansion of (/ PI (* a b)) in (a b) around 0 9.360 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in b 9.360 * [taylor]: Taking taylor expansion of PI in b 9.360 * [backup-simplify]: Simplify PI into PI 9.360 * [taylor]: Taking taylor expansion of (* a b) in b 9.360 * [taylor]: Taking taylor expansion of a in b 9.360 * [backup-simplify]: Simplify a into a 9.360 * [taylor]: Taking taylor expansion of b in b 9.360 * [backup-simplify]: Simplify 0 into 0 9.360 * [backup-simplify]: Simplify 1 into 1 9.360 * [backup-simplify]: Simplify (* a 0) into 0 9.361 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 9.361 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 9.361 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in a 9.361 * [taylor]: Taking taylor expansion of PI in a 9.361 * [backup-simplify]: Simplify PI into PI 9.361 * [taylor]: Taking taylor expansion of (* a b) in a 9.361 * [taylor]: Taking taylor expansion of a in a 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify 1 into 1 9.361 * [taylor]: Taking taylor expansion of b in a 9.361 * [backup-simplify]: Simplify b into b 9.361 * [backup-simplify]: Simplify (* 0 b) into 0 9.361 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 9.361 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.361 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in a 9.361 * [taylor]: Taking taylor expansion of PI in a 9.361 * [backup-simplify]: Simplify PI into PI 9.361 * [taylor]: Taking taylor expansion of (* a b) in a 9.361 * [taylor]: Taking taylor expansion of a in a 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify 1 into 1 9.361 * [taylor]: Taking taylor expansion of b in a 9.361 * [backup-simplify]: Simplify b into b 9.361 * [backup-simplify]: Simplify (* 0 b) into 0 9.362 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 9.362 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.362 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.362 * [taylor]: Taking taylor expansion of PI in b 9.362 * [backup-simplify]: Simplify PI into PI 9.362 * [taylor]: Taking taylor expansion of b in b 9.362 * [backup-simplify]: Simplify 0 into 0 9.362 * [backup-simplify]: Simplify 1 into 1 9.362 * [backup-simplify]: Simplify (/ PI 1) into PI 9.362 * [backup-simplify]: Simplify PI into PI 9.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 9.363 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 9.363 * [taylor]: Taking taylor expansion of 0 in b 9.363 * [backup-simplify]: Simplify 0 into 0 9.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.363 * [backup-simplify]: Simplify 0 into 0 9.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 9.364 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 9.364 * [taylor]: Taking taylor expansion of 0 in b 9.364 * [backup-simplify]: Simplify 0 into 0 9.364 * [backup-simplify]: Simplify 0 into 0 9.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.365 * [backup-simplify]: Simplify 0 into 0 9.366 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 9.366 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 9.366 * [taylor]: Taking taylor expansion of 0 in b 9.366 * [backup-simplify]: Simplify 0 into 0 9.366 * [backup-simplify]: Simplify 0 into 0 9.366 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.367 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 9.367 * [backup-simplify]: Simplify (/ PI (* (/ 1 a) (/ 1 b))) into (* a (* b PI)) 9.367 * [approximate]: Taking taylor expansion of (* a (* b PI)) in (a b) around 0 9.367 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 9.367 * [taylor]: Taking taylor expansion of a in b 9.367 * [backup-simplify]: Simplify a into a 9.367 * [taylor]: Taking taylor expansion of (* b PI) in b 9.367 * [taylor]: Taking taylor expansion of b in b 9.367 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify 1 into 1 9.367 * [taylor]: Taking taylor expansion of PI in b 9.367 * [backup-simplify]: Simplify PI into PI 9.367 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 9.367 * [taylor]: Taking taylor expansion of a in a 9.367 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify 1 into 1 9.367 * [taylor]: Taking taylor expansion of (* b PI) in a 9.367 * [taylor]: Taking taylor expansion of b in a 9.367 * [backup-simplify]: Simplify b into b 9.367 * [taylor]: Taking taylor expansion of PI in a 9.367 * [backup-simplify]: Simplify PI into PI 9.367 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 9.367 * [taylor]: Taking taylor expansion of a in a 9.367 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify 1 into 1 9.367 * [taylor]: Taking taylor expansion of (* b PI) in a 9.367 * [taylor]: Taking taylor expansion of b in a 9.367 * [backup-simplify]: Simplify b into b 9.367 * [taylor]: Taking taylor expansion of PI in a 9.367 * [backup-simplify]: Simplify PI into PI 9.368 * [backup-simplify]: Simplify (* b PI) into (* PI b) 9.368 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 9.368 * [taylor]: Taking taylor expansion of 0 in b 9.368 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 9.368 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 9.368 * [taylor]: Taking taylor expansion of (* b PI) in b 9.368 * [taylor]: Taking taylor expansion of b in b 9.368 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify 1 into 1 9.368 * [taylor]: Taking taylor expansion of PI in b 9.368 * [backup-simplify]: Simplify PI into PI 9.369 * [backup-simplify]: Simplify (* 0 PI) into 0 9.369 * [backup-simplify]: Simplify 0 into 0 9.369 * [backup-simplify]: Simplify 0 into 0 9.369 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 9.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 9.370 * [taylor]: Taking taylor expansion of 0 in b 9.370 * [backup-simplify]: Simplify 0 into 0 9.370 * [backup-simplify]: Simplify 0 into 0 9.371 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.371 * [backup-simplify]: Simplify PI into PI 9.371 * [backup-simplify]: Simplify 0 into 0 9.371 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.372 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 9.372 * [taylor]: Taking taylor expansion of 0 in b 9.372 * [backup-simplify]: Simplify 0 into 0 9.372 * [backup-simplify]: Simplify 0 into 0 9.372 * [backup-simplify]: Simplify 0 into 0 9.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.373 * [backup-simplify]: Simplify 0 into 0 9.373 * [backup-simplify]: Simplify 0 into 0 9.373 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b)))))) into 0 9.374 * [taylor]: Taking taylor expansion of 0 in b 9.374 * [backup-simplify]: Simplify 0 into 0 9.374 * [backup-simplify]: Simplify 0 into 0 9.375 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 9.375 * [backup-simplify]: Simplify (/ PI (* (/ 1 (- a)) (/ 1 (- b)))) into (* a (* b PI)) 9.375 * [approximate]: Taking taylor expansion of (* a (* b PI)) in (a b) around 0 9.375 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 9.375 * [taylor]: Taking taylor expansion of a in b 9.375 * [backup-simplify]: Simplify a into a 9.375 * [taylor]: Taking taylor expansion of (* b PI) in b 9.375 * [taylor]: Taking taylor expansion of b in b 9.375 * [backup-simplify]: Simplify 0 into 0 9.375 * [backup-simplify]: Simplify 1 into 1 9.375 * [taylor]: Taking taylor expansion of PI in b 9.375 * [backup-simplify]: Simplify PI into PI 9.375 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 9.375 * [taylor]: Taking taylor expansion of a in a 9.375 * [backup-simplify]: Simplify 0 into 0 9.375 * [backup-simplify]: Simplify 1 into 1 9.375 * [taylor]: Taking taylor expansion of (* b PI) in a 9.375 * [taylor]: Taking taylor expansion of b in a 9.375 * [backup-simplify]: Simplify b into b 9.375 * [taylor]: Taking taylor expansion of PI in a 9.375 * [backup-simplify]: Simplify PI into PI 9.375 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 9.375 * [taylor]: Taking taylor expansion of a in a 9.375 * [backup-simplify]: Simplify 0 into 0 9.375 * [backup-simplify]: Simplify 1 into 1 9.375 * [taylor]: Taking taylor expansion of (* b PI) in a 9.375 * [taylor]: Taking taylor expansion of b in a 9.375 * [backup-simplify]: Simplify b into b 9.375 * [taylor]: Taking taylor expansion of PI in a 9.375 * [backup-simplify]: Simplify PI into PI 9.375 * [backup-simplify]: Simplify (* b PI) into (* PI b) 9.375 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 9.375 * [taylor]: Taking taylor expansion of 0 in b 9.375 * [backup-simplify]: Simplify 0 into 0 9.375 * [backup-simplify]: Simplify 0 into 0 9.376 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 9.376 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 9.376 * [taylor]: Taking taylor expansion of (* b PI) in b 9.376 * [taylor]: Taking taylor expansion of b in b 9.376 * [backup-simplify]: Simplify 0 into 0 9.376 * [backup-simplify]: Simplify 1 into 1 9.376 * [taylor]: Taking taylor expansion of PI in b 9.376 * [backup-simplify]: Simplify PI into PI 9.376 * [backup-simplify]: Simplify (* 0 PI) into 0 9.376 * [backup-simplify]: Simplify 0 into 0 9.376 * [backup-simplify]: Simplify 0 into 0 9.377 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 9.377 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 9.377 * [taylor]: Taking taylor expansion of 0 in b 9.377 * [backup-simplify]: Simplify 0 into 0 9.377 * [backup-simplify]: Simplify 0 into 0 9.378 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.378 * [backup-simplify]: Simplify PI into PI 9.378 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 9.380 * [taylor]: Taking taylor expansion of 0 in b 9.380 * [backup-simplify]: Simplify 0 into 0 9.380 * [backup-simplify]: Simplify 0 into 0 9.380 * [backup-simplify]: Simplify 0 into 0 9.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.380 * [backup-simplify]: Simplify 0 into 0 9.380 * [backup-simplify]: Simplify 0 into 0 9.381 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b)))))) into 0 9.387 * [taylor]: Taking taylor expansion of 0 in b 9.387 * [backup-simplify]: Simplify 0 into 0 9.387 * [backup-simplify]: Simplify 0 into 0 9.387 * [backup-simplify]: Simplify (* PI (* (/ 1 (- b)) (/ 1 (- a)))) into (/ PI (* a b)) 9.387 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 9.387 * [backup-simplify]: Simplify (/ (/ PI (* a b)) (+ a b)) into (/ PI (* a (* (+ a b) b))) 9.387 * [approximate]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in (a b) around 0 9.387 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in b 9.387 * [taylor]: Taking taylor expansion of PI in b 9.387 * [backup-simplify]: Simplify PI into PI 9.387 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 9.387 * [taylor]: Taking taylor expansion of a in b 9.387 * [backup-simplify]: Simplify a into a 9.387 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 9.387 * [taylor]: Taking taylor expansion of (+ a b) in b 9.387 * [taylor]: Taking taylor expansion of a in b 9.387 * [backup-simplify]: Simplify a into a 9.387 * [taylor]: Taking taylor expansion of b in b 9.387 * [backup-simplify]: Simplify 0 into 0 9.387 * [backup-simplify]: Simplify 1 into 1 9.387 * [taylor]: Taking taylor expansion of b in b 9.387 * [backup-simplify]: Simplify 0 into 0 9.387 * [backup-simplify]: Simplify 1 into 1 9.387 * [backup-simplify]: Simplify (+ a 0) into a 9.387 * [backup-simplify]: Simplify (* a 0) into 0 9.387 * [backup-simplify]: Simplify (* a 0) into 0 9.388 * [backup-simplify]: Simplify (+ 0 1) into 1 9.388 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 9.388 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 9.388 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 9.388 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in a 9.388 * [taylor]: Taking taylor expansion of PI in a 9.388 * [backup-simplify]: Simplify PI into PI 9.388 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 9.388 * [taylor]: Taking taylor expansion of a in a 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [backup-simplify]: Simplify 1 into 1 9.388 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 9.388 * [taylor]: Taking taylor expansion of (+ a b) in a 9.388 * [taylor]: Taking taylor expansion of a in a 9.389 * [backup-simplify]: Simplify 0 into 0 9.389 * [backup-simplify]: Simplify 1 into 1 9.389 * [taylor]: Taking taylor expansion of b in a 9.389 * [backup-simplify]: Simplify b into b 9.389 * [taylor]: Taking taylor expansion of b in a 9.389 * [backup-simplify]: Simplify b into b 9.389 * [backup-simplify]: Simplify (+ 0 b) into b 9.389 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.389 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 9.389 * [backup-simplify]: Simplify (+ 1 0) into 1 9.389 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 9.389 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 9.389 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 9.389 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in a 9.389 * [taylor]: Taking taylor expansion of PI in a 9.389 * [backup-simplify]: Simplify PI into PI 9.389 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 9.389 * [taylor]: Taking taylor expansion of a in a 9.389 * [backup-simplify]: Simplify 0 into 0 9.389 * [backup-simplify]: Simplify 1 into 1 9.389 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 9.389 * [taylor]: Taking taylor expansion of (+ a b) in a 9.389 * [taylor]: Taking taylor expansion of a in a 9.389 * [backup-simplify]: Simplify 0 into 0 9.389 * [backup-simplify]: Simplify 1 into 1 9.389 * [taylor]: Taking taylor expansion of b in a 9.389 * [backup-simplify]: Simplify b into b 9.389 * [taylor]: Taking taylor expansion of b in a 9.389 * [backup-simplify]: Simplify b into b 9.390 * [backup-simplify]: Simplify (+ 0 b) into b 9.390 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.390 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 9.390 * [backup-simplify]: Simplify (+ 1 0) into 1 9.390 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 9.390 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 9.390 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 9.390 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.390 * [taylor]: Taking taylor expansion of PI in b 9.390 * [backup-simplify]: Simplify PI into PI 9.390 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.390 * [taylor]: Taking taylor expansion of b in b 9.390 * [backup-simplify]: Simplify 0 into 0 9.390 * [backup-simplify]: Simplify 1 into 1 9.391 * [backup-simplify]: Simplify (* 1 1) into 1 9.391 * [backup-simplify]: Simplify (/ PI 1) into PI 9.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.392 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify (+ 0 0) into 0 9.392 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (* 0 b))) into 0 9.393 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 b) (* 0 (pow b 2)))) into b 9.393 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 9.393 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 3))) in b 9.393 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 9.393 * [taylor]: Taking taylor expansion of PI in b 9.393 * [backup-simplify]: Simplify PI into PI 9.393 * [taylor]: Taking taylor expansion of (pow b 3) in b 9.393 * [taylor]: Taking taylor expansion of b in b 9.393 * [backup-simplify]: Simplify 0 into 0 9.393 * [backup-simplify]: Simplify 1 into 1 9.393 * [backup-simplify]: Simplify (* 1 1) into 1 9.394 * [backup-simplify]: Simplify (* 1 1) into 1 9.394 * [backup-simplify]: Simplify (/ PI 1) into PI 9.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.397 * [backup-simplify]: Simplify (- 0) into 0 9.397 * [backup-simplify]: Simplify 0 into 0 9.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.398 * [backup-simplify]: Simplify 0 into 0 9.398 * [backup-simplify]: Simplify (+ 0 0) into 0 9.399 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 9.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 b) (* 0 (pow b 2))))) into 0 9.400 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))) (* (- (/ PI (pow b 3))) (/ b (pow b 2))))) into (/ PI (pow b 4)) 9.400 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 9.400 * [taylor]: Taking taylor expansion of PI in b 9.400 * [backup-simplify]: Simplify PI into PI 9.400 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.400 * [taylor]: Taking taylor expansion of b in b 9.400 * [backup-simplify]: Simplify 0 into 0 9.400 * [backup-simplify]: Simplify 1 into 1 9.400 * [backup-simplify]: Simplify (* 1 1) into 1 9.400 * [backup-simplify]: Simplify (* 1 1) into 1 9.401 * [backup-simplify]: Simplify (/ PI 1) into PI 9.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.405 * [backup-simplify]: Simplify 0 into 0 9.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.408 * [backup-simplify]: Simplify (- 0) into 0 9.408 * [backup-simplify]: Simplify 0 into 0 9.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.409 * [backup-simplify]: Simplify 0 into 0 9.409 * [backup-simplify]: Simplify 0 into 0 9.409 * [backup-simplify]: Simplify (/ (/ PI (* (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) into (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) 9.409 * [approximate]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 9.409 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in b 9.409 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 9.409 * [taylor]: Taking taylor expansion of a in b 9.409 * [backup-simplify]: Simplify a into a 9.409 * [taylor]: Taking taylor expansion of (* PI b) in b 9.409 * [taylor]: Taking taylor expansion of PI in b 9.409 * [backup-simplify]: Simplify PI into PI 9.409 * [taylor]: Taking taylor expansion of b in b 9.409 * [backup-simplify]: Simplify 0 into 0 9.409 * [backup-simplify]: Simplify 1 into 1 9.409 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.409 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.409 * [taylor]: Taking taylor expansion of a in b 9.409 * [backup-simplify]: Simplify a into a 9.409 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.409 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.409 * [taylor]: Taking taylor expansion of b in b 9.409 * [backup-simplify]: Simplify 0 into 0 9.410 * [backup-simplify]: Simplify 1 into 1 9.410 * [backup-simplify]: Simplify (/ 1 1) into 1 9.410 * [backup-simplify]: Simplify (* PI 0) into 0 9.410 * [backup-simplify]: Simplify (* a 0) into 0 9.411 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.411 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 9.412 * [backup-simplify]: Simplify (+ 0 1) into 1 9.412 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 9.412 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 9.412 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 9.412 * [taylor]: Taking taylor expansion of a in a 9.412 * [backup-simplify]: Simplify 0 into 0 9.412 * [backup-simplify]: Simplify 1 into 1 9.412 * [taylor]: Taking taylor expansion of (* PI b) in a 9.412 * [taylor]: Taking taylor expansion of PI in a 9.412 * [backup-simplify]: Simplify PI into PI 9.412 * [taylor]: Taking taylor expansion of b in a 9.412 * [backup-simplify]: Simplify b into b 9.412 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.412 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.412 * [taylor]: Taking taylor expansion of a in a 9.412 * [backup-simplify]: Simplify 0 into 0 9.412 * [backup-simplify]: Simplify 1 into 1 9.412 * [backup-simplify]: Simplify (/ 1 1) into 1 9.412 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.412 * [taylor]: Taking taylor expansion of b in a 9.412 * [backup-simplify]: Simplify b into b 9.412 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.412 * [backup-simplify]: Simplify (* PI b) into (* b PI) 9.412 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 9.413 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 9.413 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 9.413 * [backup-simplify]: Simplify (+ 1 0) into 1 9.413 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 9.413 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 9.413 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 9.413 * [taylor]: Taking taylor expansion of a in a 9.413 * [backup-simplify]: Simplify 0 into 0 9.413 * [backup-simplify]: Simplify 1 into 1 9.413 * [taylor]: Taking taylor expansion of (* PI b) in a 9.413 * [taylor]: Taking taylor expansion of PI in a 9.413 * [backup-simplify]: Simplify PI into PI 9.413 * [taylor]: Taking taylor expansion of b in a 9.413 * [backup-simplify]: Simplify b into b 9.413 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.413 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.413 * [taylor]: Taking taylor expansion of a in a 9.413 * [backup-simplify]: Simplify 0 into 0 9.413 * [backup-simplify]: Simplify 1 into 1 9.414 * [backup-simplify]: Simplify (/ 1 1) into 1 9.414 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.414 * [taylor]: Taking taylor expansion of b in a 9.414 * [backup-simplify]: Simplify b into b 9.414 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.414 * [backup-simplify]: Simplify (* PI b) into (* b PI) 9.414 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 9.414 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 9.414 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 9.415 * [backup-simplify]: Simplify (+ 1 0) into 1 9.415 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 9.415 * [taylor]: Taking taylor expansion of (* PI b) in b 9.415 * [taylor]: Taking taylor expansion of PI in b 9.415 * [backup-simplify]: Simplify PI into PI 9.415 * [taylor]: Taking taylor expansion of b in b 9.415 * [backup-simplify]: Simplify 0 into 0 9.415 * [backup-simplify]: Simplify 1 into 1 9.416 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 9.417 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* b PI)))) into 0 9.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.417 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 9.417 * [taylor]: Taking taylor expansion of (- PI) in b 9.418 * [taylor]: Taking taylor expansion of PI in b 9.418 * [backup-simplify]: Simplify PI into PI 9.418 * [backup-simplify]: Simplify (- 0) into 0 9.418 * [backup-simplify]: Simplify 0 into 0 9.418 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.418 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* b PI))))) into 0 9.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.421 * [backup-simplify]: Simplify (+ 0 0) into 0 9.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 9.422 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.422 * [taylor]: Taking taylor expansion of PI in b 9.422 * [backup-simplify]: Simplify PI into PI 9.422 * [taylor]: Taking taylor expansion of b in b 9.422 * [backup-simplify]: Simplify 0 into 0 9.422 * [backup-simplify]: Simplify 1 into 1 9.422 * [backup-simplify]: Simplify (/ PI 1) into PI 9.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.424 * [backup-simplify]: Simplify 0 into 0 9.424 * [backup-simplify]: Simplify (- 0) into 0 9.424 * [backup-simplify]: Simplify 0 into 0 9.425 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.425 * [backup-simplify]: Simplify 0 into 0 9.425 * [backup-simplify]: Simplify 0 into 0 9.425 * [backup-simplify]: Simplify (/ (/ PI (* (/ 1 (- a)) (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) 9.425 * [approximate]: Taking taylor expansion of (* -1 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.425 * [taylor]: Taking taylor expansion of (* -1 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in b 9.425 * [taylor]: Taking taylor expansion of -1 in b 9.425 * [backup-simplify]: Simplify -1 into -1 9.425 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in b 9.425 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 9.425 * [taylor]: Taking taylor expansion of a in b 9.426 * [backup-simplify]: Simplify a into a 9.426 * [taylor]: Taking taylor expansion of (* PI b) in b 9.426 * [taylor]: Taking taylor expansion of PI in b 9.426 * [backup-simplify]: Simplify PI into PI 9.426 * [taylor]: Taking taylor expansion of b in b 9.426 * [backup-simplify]: Simplify 0 into 0 9.426 * [backup-simplify]: Simplify 1 into 1 9.426 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.426 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.426 * [taylor]: Taking taylor expansion of a in b 9.426 * [backup-simplify]: Simplify a into a 9.426 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.426 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.426 * [taylor]: Taking taylor expansion of b in b 9.426 * [backup-simplify]: Simplify 0 into 0 9.426 * [backup-simplify]: Simplify 1 into 1 9.426 * [backup-simplify]: Simplify (/ 1 1) into 1 9.426 * [backup-simplify]: Simplify (* PI 0) into 0 9.426 * [backup-simplify]: Simplify (* a 0) into 0 9.427 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.428 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 9.428 * [backup-simplify]: Simplify (+ 0 1) into 1 9.428 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 9.428 * [taylor]: Taking taylor expansion of (* -1 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in a 9.428 * [taylor]: Taking taylor expansion of -1 in a 9.428 * [backup-simplify]: Simplify -1 into -1 9.428 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 9.428 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 9.428 * [taylor]: Taking taylor expansion of a in a 9.428 * [backup-simplify]: Simplify 0 into 0 9.428 * [backup-simplify]: Simplify 1 into 1 9.428 * [taylor]: Taking taylor expansion of (* PI b) in a 9.428 * [taylor]: Taking taylor expansion of PI in a 9.428 * [backup-simplify]: Simplify PI into PI 9.428 * [taylor]: Taking taylor expansion of b in a 9.428 * [backup-simplify]: Simplify b into b 9.428 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.428 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.428 * [taylor]: Taking taylor expansion of a in a 9.428 * [backup-simplify]: Simplify 0 into 0 9.428 * [backup-simplify]: Simplify 1 into 1 9.428 * [backup-simplify]: Simplify (/ 1 1) into 1 9.428 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.428 * [taylor]: Taking taylor expansion of b in a 9.428 * [backup-simplify]: Simplify b into b 9.428 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.428 * [backup-simplify]: Simplify (* PI b) into (* b PI) 9.429 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 9.429 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 9.429 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 9.429 * [backup-simplify]: Simplify (+ 1 0) into 1 9.429 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 9.429 * [taylor]: Taking taylor expansion of (* -1 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in a 9.430 * [taylor]: Taking taylor expansion of -1 in a 9.430 * [backup-simplify]: Simplify -1 into -1 9.430 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 9.430 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 9.430 * [taylor]: Taking taylor expansion of a in a 9.430 * [backup-simplify]: Simplify 0 into 0 9.430 * [backup-simplify]: Simplify 1 into 1 9.430 * [taylor]: Taking taylor expansion of (* PI b) in a 9.430 * [taylor]: Taking taylor expansion of PI in a 9.430 * [backup-simplify]: Simplify PI into PI 9.430 * [taylor]: Taking taylor expansion of b in a 9.430 * [backup-simplify]: Simplify b into b 9.430 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.430 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.430 * [taylor]: Taking taylor expansion of a in a 9.430 * [backup-simplify]: Simplify 0 into 0 9.430 * [backup-simplify]: Simplify 1 into 1 9.430 * [backup-simplify]: Simplify (/ 1 1) into 1 9.430 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.430 * [taylor]: Taking taylor expansion of b in a 9.430 * [backup-simplify]: Simplify b into b 9.430 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.430 * [backup-simplify]: Simplify (* PI b) into (* b PI) 9.430 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 9.430 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 9.431 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 9.431 * [backup-simplify]: Simplify (+ 1 0) into 1 9.431 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 9.431 * [backup-simplify]: Simplify (* -1 (* PI b)) into (* -1 (* PI b)) 9.431 * [taylor]: Taking taylor expansion of (* -1 (* PI b)) in b 9.431 * [taylor]: Taking taylor expansion of -1 in b 9.431 * [backup-simplify]: Simplify -1 into -1 9.431 * [taylor]: Taking taylor expansion of (* PI b) in b 9.431 * [taylor]: Taking taylor expansion of PI in b 9.431 * [backup-simplify]: Simplify PI into PI 9.431 * [taylor]: Taking taylor expansion of b in b 9.431 * [backup-simplify]: Simplify 0 into 0 9.431 * [backup-simplify]: Simplify 1 into 1 9.432 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 9.433 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.433 * [backup-simplify]: Simplify (* PI 0) into 0 9.434 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 9.434 * [backup-simplify]: Simplify 0 into 0 9.434 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 9.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* b PI)))) into 0 9.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.435 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 9.436 * [backup-simplify]: Simplify (+ (* -1 (- PI)) (* 0 (* PI b))) into PI 9.436 * [taylor]: Taking taylor expansion of PI in b 9.436 * [backup-simplify]: Simplify PI into PI 9.436 * [backup-simplify]: Simplify 0 into 0 9.437 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.438 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.438 * [backup-simplify]: Simplify 0 into 0 9.438 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* b PI))))) into 0 9.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.440 * [backup-simplify]: Simplify (+ 0 0) into 0 9.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 9.442 * [backup-simplify]: Simplify (+ (* -1 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (/ PI b)) 9.442 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 9.442 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.442 * [taylor]: Taking taylor expansion of PI in b 9.442 * [backup-simplify]: Simplify PI into PI 9.442 * [taylor]: Taking taylor expansion of b in b 9.442 * [backup-simplify]: Simplify 0 into 0 9.442 * [backup-simplify]: Simplify 1 into 1 9.442 * [backup-simplify]: Simplify (/ PI 1) into PI 9.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.444 * [backup-simplify]: Simplify (- 0) into 0 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify 0 into 0 9.445 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.446 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * * * * [progress]: [ 3 / 3 ] generating series at (2) 9.446 * [backup-simplify]: Simplify (* (/ (/ PI (* a b)) (+ a b)) 1/2) into (* 1/2 (/ PI (* a (* (+ a b) b)))) 9.446 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in (a b) around 0 9.446 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in b 9.446 * [taylor]: Taking taylor expansion of 1/2 in b 9.446 * [backup-simplify]: Simplify 1/2 into 1/2 9.446 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in b 9.446 * [taylor]: Taking taylor expansion of PI in b 9.446 * [backup-simplify]: Simplify PI into PI 9.446 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 9.446 * [taylor]: Taking taylor expansion of a in b 9.446 * [backup-simplify]: Simplify a into a 9.446 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 9.446 * [taylor]: Taking taylor expansion of (+ a b) in b 9.446 * [taylor]: Taking taylor expansion of a in b 9.446 * [backup-simplify]: Simplify a into a 9.446 * [taylor]: Taking taylor expansion of b in b 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify 1 into 1 9.446 * [taylor]: Taking taylor expansion of b in b 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify 1 into 1 9.446 * [backup-simplify]: Simplify (+ a 0) into a 9.446 * [backup-simplify]: Simplify (* a 0) into 0 9.446 * [backup-simplify]: Simplify (* a 0) into 0 9.447 * [backup-simplify]: Simplify (+ 0 1) into 1 9.447 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 9.447 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 9.447 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 9.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in a 9.447 * [taylor]: Taking taylor expansion of 1/2 in a 9.447 * [backup-simplify]: Simplify 1/2 into 1/2 9.448 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in a 9.448 * [taylor]: Taking taylor expansion of PI in a 9.448 * [backup-simplify]: Simplify PI into PI 9.448 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 9.448 * [taylor]: Taking taylor expansion of a in a 9.448 * [backup-simplify]: Simplify 0 into 0 9.448 * [backup-simplify]: Simplify 1 into 1 9.448 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 9.448 * [taylor]: Taking taylor expansion of (+ a b) in a 9.448 * [taylor]: Taking taylor expansion of a in a 9.448 * [backup-simplify]: Simplify 0 into 0 9.448 * [backup-simplify]: Simplify 1 into 1 9.448 * [taylor]: Taking taylor expansion of b in a 9.448 * [backup-simplify]: Simplify b into b 9.448 * [taylor]: Taking taylor expansion of b in a 9.448 * [backup-simplify]: Simplify b into b 9.448 * [backup-simplify]: Simplify (+ 0 b) into b 9.448 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.448 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 9.448 * [backup-simplify]: Simplify (+ 1 0) into 1 9.448 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 9.448 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 9.448 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 9.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in a 9.448 * [taylor]: Taking taylor expansion of 1/2 in a 9.448 * [backup-simplify]: Simplify 1/2 into 1/2 9.448 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in a 9.448 * [taylor]: Taking taylor expansion of PI in a 9.448 * [backup-simplify]: Simplify PI into PI 9.448 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 9.448 * [taylor]: Taking taylor expansion of a in a 9.448 * [backup-simplify]: Simplify 0 into 0 9.448 * [backup-simplify]: Simplify 1 into 1 9.448 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 9.448 * [taylor]: Taking taylor expansion of (+ a b) in a 9.449 * [taylor]: Taking taylor expansion of a in a 9.449 * [backup-simplify]: Simplify 0 into 0 9.449 * [backup-simplify]: Simplify 1 into 1 9.449 * [taylor]: Taking taylor expansion of b in a 9.449 * [backup-simplify]: Simplify b into b 9.449 * [taylor]: Taking taylor expansion of b in a 9.449 * [backup-simplify]: Simplify b into b 9.449 * [backup-simplify]: Simplify (+ 0 b) into b 9.449 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.449 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 9.449 * [backup-simplify]: Simplify (+ 1 0) into 1 9.449 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 9.449 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 9.449 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 9.449 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 9.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 9.449 * [taylor]: Taking taylor expansion of 1/2 in b 9.449 * [backup-simplify]: Simplify 1/2 into 1/2 9.449 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.449 * [taylor]: Taking taylor expansion of PI in b 9.449 * [backup-simplify]: Simplify PI into PI 9.449 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.449 * [taylor]: Taking taylor expansion of b in b 9.449 * [backup-simplify]: Simplify 0 into 0 9.449 * [backup-simplify]: Simplify 1 into 1 9.450 * [backup-simplify]: Simplify (* 1 1) into 1 9.450 * [backup-simplify]: Simplify (/ PI 1) into PI 9.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 9.451 * [backup-simplify]: Simplify 0 into 0 9.452 * [backup-simplify]: Simplify (+ 0 0) into 0 9.452 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (* 0 b))) into 0 9.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 b) (* 0 (pow b 2)))) into b 9.452 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 9.453 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 9.453 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 9.453 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 9.453 * [taylor]: Taking taylor expansion of 1/2 in b 9.453 * [backup-simplify]: Simplify 1/2 into 1/2 9.453 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 9.453 * [taylor]: Taking taylor expansion of PI in b 9.453 * [backup-simplify]: Simplify PI into PI 9.453 * [taylor]: Taking taylor expansion of (pow b 3) in b 9.453 * [taylor]: Taking taylor expansion of b in b 9.453 * [backup-simplify]: Simplify 0 into 0 9.453 * [backup-simplify]: Simplify 1 into 1 9.453 * [backup-simplify]: Simplify (* 1 1) into 1 9.453 * [backup-simplify]: Simplify (* 1 1) into 1 9.454 * [backup-simplify]: Simplify (/ PI 1) into PI 9.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.457 * [backup-simplify]: Simplify (- 0) into 0 9.457 * [backup-simplify]: Simplify 0 into 0 9.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.459 * [backup-simplify]: Simplify 0 into 0 9.460 * [backup-simplify]: Simplify (+ 0 0) into 0 9.460 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 9.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 b) (* 0 (pow b 2))))) into 0 9.461 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))) (* (- (/ PI (pow b 3))) (/ b (pow b 2))))) into (/ PI (pow b 4)) 9.461 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 9.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 9.461 * [taylor]: Taking taylor expansion of 1/2 in b 9.461 * [backup-simplify]: Simplify 1/2 into 1/2 9.461 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 9.461 * [taylor]: Taking taylor expansion of PI in b 9.461 * [backup-simplify]: Simplify PI into PI 9.461 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.461 * [taylor]: Taking taylor expansion of b in b 9.461 * [backup-simplify]: Simplify 0 into 0 9.461 * [backup-simplify]: Simplify 1 into 1 9.462 * [backup-simplify]: Simplify (* 1 1) into 1 9.462 * [backup-simplify]: Simplify (* 1 1) into 1 9.462 * [backup-simplify]: Simplify (/ PI 1) into PI 9.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.468 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.468 * [backup-simplify]: Simplify 0 into 0 9.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.471 * [backup-simplify]: Simplify (- 0) into 0 9.471 * [backup-simplify]: Simplify 0 into 0 9.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.472 * [backup-simplify]: Simplify 0 into 0 9.472 * [backup-simplify]: Simplify 0 into 0 9.473 * [backup-simplify]: Simplify (* (/ (/ PI (* (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) 1/2) into (* 1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) 9.473 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.473 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 9.473 * [taylor]: Taking taylor expansion of 1/2 in b 9.473 * [backup-simplify]: Simplify 1/2 into 1/2 9.473 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 9.473 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 9.473 * [taylor]: Taking taylor expansion of a in b 9.473 * [backup-simplify]: Simplify a into a 9.473 * [taylor]: Taking taylor expansion of (* b PI) in b 9.473 * [taylor]: Taking taylor expansion of b in b 9.473 * [backup-simplify]: Simplify 0 into 0 9.473 * [backup-simplify]: Simplify 1 into 1 9.473 * [taylor]: Taking taylor expansion of PI in b 9.473 * [backup-simplify]: Simplify PI into PI 9.473 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.473 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.473 * [taylor]: Taking taylor expansion of a in b 9.473 * [backup-simplify]: Simplify a into a 9.473 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.473 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.473 * [taylor]: Taking taylor expansion of b in b 9.473 * [backup-simplify]: Simplify 0 into 0 9.473 * [backup-simplify]: Simplify 1 into 1 9.477 * [backup-simplify]: Simplify (/ 1 1) into 1 9.478 * [backup-simplify]: Simplify (* 0 PI) into 0 9.478 * [backup-simplify]: Simplify (* a 0) into 0 9.480 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.480 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 9.481 * [backup-simplify]: Simplify (+ 0 1) into 1 9.481 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 9.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 9.481 * [taylor]: Taking taylor expansion of 1/2 in a 9.481 * [backup-simplify]: Simplify 1/2 into 1/2 9.481 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 9.481 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 9.481 * [taylor]: Taking taylor expansion of a in a 9.481 * [backup-simplify]: Simplify 0 into 0 9.481 * [backup-simplify]: Simplify 1 into 1 9.481 * [taylor]: Taking taylor expansion of (* b PI) in a 9.481 * [taylor]: Taking taylor expansion of b in a 9.481 * [backup-simplify]: Simplify b into b 9.481 * [taylor]: Taking taylor expansion of PI in a 9.481 * [backup-simplify]: Simplify PI into PI 9.481 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.481 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.481 * [taylor]: Taking taylor expansion of a in a 9.481 * [backup-simplify]: Simplify 0 into 0 9.481 * [backup-simplify]: Simplify 1 into 1 9.482 * [backup-simplify]: Simplify (/ 1 1) into 1 9.482 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.482 * [taylor]: Taking taylor expansion of b in a 9.482 * [backup-simplify]: Simplify b into b 9.482 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.482 * [backup-simplify]: Simplify (* b PI) into (* PI b) 9.482 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 9.482 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 9.483 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 9.483 * [backup-simplify]: Simplify (+ 1 0) into 1 9.483 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 9.483 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 9.483 * [taylor]: Taking taylor expansion of 1/2 in a 9.483 * [backup-simplify]: Simplify 1/2 into 1/2 9.483 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 9.483 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 9.483 * [taylor]: Taking taylor expansion of a in a 9.484 * [backup-simplify]: Simplify 0 into 0 9.484 * [backup-simplify]: Simplify 1 into 1 9.484 * [taylor]: Taking taylor expansion of (* b PI) in a 9.484 * [taylor]: Taking taylor expansion of b in a 9.484 * [backup-simplify]: Simplify b into b 9.484 * [taylor]: Taking taylor expansion of PI in a 9.484 * [backup-simplify]: Simplify PI into PI 9.484 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.484 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.484 * [taylor]: Taking taylor expansion of a in a 9.484 * [backup-simplify]: Simplify 0 into 0 9.484 * [backup-simplify]: Simplify 1 into 1 9.484 * [backup-simplify]: Simplify (/ 1 1) into 1 9.484 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.484 * [taylor]: Taking taylor expansion of b in a 9.484 * [backup-simplify]: Simplify b into b 9.484 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.484 * [backup-simplify]: Simplify (* b PI) into (* PI b) 9.485 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 9.485 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 9.486 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 9.486 * [backup-simplify]: Simplify (+ 1 0) into 1 9.486 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 9.486 * [backup-simplify]: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) 9.486 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 9.486 * [taylor]: Taking taylor expansion of 1/2 in b 9.486 * [backup-simplify]: Simplify 1/2 into 1/2 9.486 * [taylor]: Taking taylor expansion of (* b PI) in b 9.486 * [taylor]: Taking taylor expansion of b in b 9.486 * [backup-simplify]: Simplify 0 into 0 9.486 * [backup-simplify]: Simplify 1 into 1 9.486 * [taylor]: Taking taylor expansion of PI in b 9.486 * [backup-simplify]: Simplify PI into PI 9.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.489 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.489 * [backup-simplify]: Simplify (* 0 PI) into 0 9.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 9.491 * [backup-simplify]: Simplify 0 into 0 9.491 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 9.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 9.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.493 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ (/ 1 b) 1)))) into (- PI) 9.494 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* b PI))) into (- (* 1/2 PI)) 9.494 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 9.494 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 9.494 * [taylor]: Taking taylor expansion of 1/2 in b 9.494 * [backup-simplify]: Simplify 1/2 into 1/2 9.494 * [taylor]: Taking taylor expansion of PI in b 9.494 * [backup-simplify]: Simplify PI into PI 9.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.496 * [backup-simplify]: Simplify (- 0) into 0 9.496 * [backup-simplify]: Simplify 0 into 0 9.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.497 * [backup-simplify]: Simplify 0 into 0 9.498 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 9.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.499 * [backup-simplify]: Simplify (+ 0 0) into 0 9.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 9.501 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (* 1/2 (/ PI b)) 9.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 9.501 * [taylor]: Taking taylor expansion of 1/2 in b 9.501 * [backup-simplify]: Simplify 1/2 into 1/2 9.501 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.501 * [taylor]: Taking taylor expansion of PI in b 9.501 * [backup-simplify]: Simplify PI into PI 9.501 * [taylor]: Taking taylor expansion of b in b 9.501 * [backup-simplify]: Simplify 0 into 0 9.501 * [backup-simplify]: Simplify 1 into 1 9.501 * [backup-simplify]: Simplify (/ PI 1) into PI 9.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.504 * [backup-simplify]: Simplify 0 into 0 9.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.505 * [backup-simplify]: Simplify (- 0) into 0 9.505 * [backup-simplify]: Simplify 0 into 0 9.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.506 * [backup-simplify]: Simplify 0 into 0 9.506 * [backup-simplify]: Simplify 0 into 0 9.507 * [backup-simplify]: Simplify (* (/ (/ PI (* (/ 1 (- a)) (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) 1/2) into (* -1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) 9.507 * [approximate]: Taking taylor expansion of (* -1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.507 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 9.507 * [taylor]: Taking taylor expansion of -1/2 in b 9.507 * [backup-simplify]: Simplify -1/2 into -1/2 9.507 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 9.507 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 9.507 * [taylor]: Taking taylor expansion of a in b 9.507 * [backup-simplify]: Simplify a into a 9.507 * [taylor]: Taking taylor expansion of (* b PI) in b 9.507 * [taylor]: Taking taylor expansion of b in b 9.507 * [backup-simplify]: Simplify 0 into 0 9.507 * [backup-simplify]: Simplify 1 into 1 9.507 * [taylor]: Taking taylor expansion of PI in b 9.507 * [backup-simplify]: Simplify PI into PI 9.507 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.507 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.507 * [taylor]: Taking taylor expansion of a in b 9.507 * [backup-simplify]: Simplify a into a 9.507 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.507 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.507 * [taylor]: Taking taylor expansion of b in b 9.507 * [backup-simplify]: Simplify 0 into 0 9.507 * [backup-simplify]: Simplify 1 into 1 9.507 * [backup-simplify]: Simplify (/ 1 1) into 1 9.507 * [backup-simplify]: Simplify (* 0 PI) into 0 9.508 * [backup-simplify]: Simplify (* a 0) into 0 9.508 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.509 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 9.509 * [backup-simplify]: Simplify (+ 0 1) into 1 9.509 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 9.509 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 9.509 * [taylor]: Taking taylor expansion of -1/2 in a 9.509 * [backup-simplify]: Simplify -1/2 into -1/2 9.509 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 9.509 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 9.509 * [taylor]: Taking taylor expansion of a in a 9.509 * [backup-simplify]: Simplify 0 into 0 9.509 * [backup-simplify]: Simplify 1 into 1 9.509 * [taylor]: Taking taylor expansion of (* b PI) in a 9.509 * [taylor]: Taking taylor expansion of b in a 9.509 * [backup-simplify]: Simplify b into b 9.509 * [taylor]: Taking taylor expansion of PI in a 9.509 * [backup-simplify]: Simplify PI into PI 9.509 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.509 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.509 * [taylor]: Taking taylor expansion of a in a 9.509 * [backup-simplify]: Simplify 0 into 0 9.509 * [backup-simplify]: Simplify 1 into 1 9.510 * [backup-simplify]: Simplify (/ 1 1) into 1 9.510 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.510 * [taylor]: Taking taylor expansion of b in a 9.510 * [backup-simplify]: Simplify b into b 9.510 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.510 * [backup-simplify]: Simplify (* b PI) into (* PI b) 9.510 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 9.510 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 9.510 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 9.511 * [backup-simplify]: Simplify (+ 1 0) into 1 9.511 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 9.511 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 9.511 * [taylor]: Taking taylor expansion of -1/2 in a 9.511 * [backup-simplify]: Simplify -1/2 into -1/2 9.511 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 9.511 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 9.511 * [taylor]: Taking taylor expansion of a in a 9.511 * [backup-simplify]: Simplify 0 into 0 9.511 * [backup-simplify]: Simplify 1 into 1 9.511 * [taylor]: Taking taylor expansion of (* b PI) in a 9.511 * [taylor]: Taking taylor expansion of b in a 9.511 * [backup-simplify]: Simplify b into b 9.511 * [taylor]: Taking taylor expansion of PI in a 9.511 * [backup-simplify]: Simplify PI into PI 9.511 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.511 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.511 * [taylor]: Taking taylor expansion of a in a 9.511 * [backup-simplify]: Simplify 0 into 0 9.511 * [backup-simplify]: Simplify 1 into 1 9.511 * [backup-simplify]: Simplify (/ 1 1) into 1 9.511 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.511 * [taylor]: Taking taylor expansion of b in a 9.511 * [backup-simplify]: Simplify b into b 9.511 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.511 * [backup-simplify]: Simplify (* b PI) into (* PI b) 9.511 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 9.512 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 9.512 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 9.512 * [backup-simplify]: Simplify (+ 1 0) into 1 9.512 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 9.512 * [backup-simplify]: Simplify (* -1/2 (* b PI)) into (* -1/2 (* b PI)) 9.512 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 9.512 * [taylor]: Taking taylor expansion of -1/2 in b 9.512 * [backup-simplify]: Simplify -1/2 into -1/2 9.512 * [taylor]: Taking taylor expansion of (* b PI) in b 9.513 * [taylor]: Taking taylor expansion of b in b 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [backup-simplify]: Simplify 1 into 1 9.513 * [taylor]: Taking taylor expansion of PI in b 9.513 * [backup-simplify]: Simplify PI into PI 9.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.514 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.514 * [backup-simplify]: Simplify (* 0 PI) into 0 9.515 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 9.515 * [backup-simplify]: Simplify 0 into 0 9.515 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 9.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 9.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.516 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ (/ 1 b) 1)))) into (- PI) 9.517 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* b PI))) into (* 1/2 PI) 9.517 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 9.517 * [taylor]: Taking taylor expansion of 1/2 in b 9.517 * [backup-simplify]: Simplify 1/2 into 1/2 9.517 * [taylor]: Taking taylor expansion of PI in b 9.517 * [backup-simplify]: Simplify PI into PI 9.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.518 * [backup-simplify]: Simplify 0 into 0 9.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.519 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.519 * [backup-simplify]: Simplify 0 into 0 9.520 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 9.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.522 * [backup-simplify]: Simplify (+ 0 0) into 0 9.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 9.523 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (- (* 1/2 (/ PI b))) 9.523 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 9.523 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 9.523 * [taylor]: Taking taylor expansion of 1/2 in b 9.523 * [backup-simplify]: Simplify 1/2 into 1/2 9.523 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.523 * [taylor]: Taking taylor expansion of PI in b 9.523 * [backup-simplify]: Simplify PI into PI 9.523 * [taylor]: Taking taylor expansion of b in b 9.523 * [backup-simplify]: Simplify 0 into 0 9.523 * [backup-simplify]: Simplify 1 into 1 9.523 * [backup-simplify]: Simplify (/ PI 1) into PI 9.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.526 * [backup-simplify]: Simplify (- 0) into 0 9.526 * [backup-simplify]: Simplify 0 into 0 9.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.527 * [backup-simplify]: Simplify 0 into 0 9.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.528 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.528 * [backup-simplify]: Simplify 0 into 0 9.528 * [backup-simplify]: Simplify 0 into 0 9.528 * * * [progress]: simplifying candidates 9.528 * * * * [progress]: [ 1 / 148 ] simplifiying candidate # 9.529 * * * * [progress]: [ 2 / 148 ] simplifiying candidate # 9.529 * * * * [progress]: [ 3 / 148 ] simplifiying candidate # 9.529 * * * * [progress]: [ 4 / 148 ] simplifiying candidate # 9.529 * * * * [progress]: [ 5 / 148 ] simplifiying candidate # 9.529 * * * * [progress]: [ 6 / 148 ] simplifiying candidate # 9.529 * * * * [progress]: [ 7 / 148 ] simplifiying candidate # 9.529 * * * * [progress]: [ 8 / 148 ] simplifiying candidate # 9.529 * * * * [progress]: [ 9 / 148 ] simplifiying candidate # 9.529 * * * * [progress]: [ 10 / 148 ] simplifiying candidate # 9.529 * * * * [progress]: [ 11 / 148 ] simplifiying candidate # 9.529 * * * * [progress]: [ 12 / 148 ] simplifiying candidate # 9.529 * * * * [progress]: [ 13 / 148 ] simplifiying candidate # 9.529 * * * * [progress]: [ 14 / 148 ] simplifiying candidate # 9.529 * * * * [progress]: [ 15 / 148 ] simplifiying candidate # 9.529 * * * * [progress]: [ 16 / 148 ] simplifiying candidate # 9.530 * * * * [progress]: [ 17 / 148 ] simplifiying candidate # 9.530 * * * * [progress]: [ 18 / 148 ] simplifiying 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candidate # 9.533 * * * * [progress]: [ 65 / 148 ] simplifiying candidate # 9.533 * * * * [progress]: [ 66 / 148 ] simplifiying candidate # 9.533 * * * * [progress]: [ 67 / 148 ] simplifiying candidate # 9.533 * * * * [progress]: [ 68 / 148 ] simplifiying candidate # 9.533 * * * * [progress]: [ 69 / 148 ] simplifiying candidate # 9.533 * * * * [progress]: [ 70 / 148 ] simplifiying candidate # 9.533 * * * * [progress]: [ 71 / 148 ] simplifiying candidate # 9.533 * * * * [progress]: [ 72 / 148 ] simplifiying candidate # 9.533 * * * * [progress]: [ 73 / 148 ] simplifiying candidate # 9.533 * * * * [progress]: [ 74 / 148 ] simplifiying candidate # 9.533 * * * * [progress]: [ 75 / 148 ] simplifiying candidate # 9.533 * * * * [progress]: [ 76 / 148 ] simplifiying candidate # 9.533 * * * * [progress]: [ 77 / 148 ] simplifiying candidate # 9.533 * * * * [progress]: [ 78 / 148 ] simplifiying candidate # 9.534 * * * * [progress]: [ 79 / 148 ] simplifiying candidate # 9.534 * * * * [progress]: [ 80 / 148 ] simplifiying candidate # 9.534 * * * * [progress]: [ 81 / 148 ] simplifiying candidate #real (real->posit16 (/ (/ PI (* a b)) (+ a b)))) 1/2))> 9.534 * * * * [progress]: [ 82 / 148 ] simplifiying candidate # 9.534 * * * * [progress]: [ 83 / 148 ] simplifiying candidate # 9.534 * * * * [progress]: [ 84 / 148 ] simplifiying candidate # 9.534 * * * * [progress]: [ 85 / 148 ] simplifiying candidate # 9.534 * * * * [progress]: [ 86 / 148 ] simplifiying candidate # 9.534 * * * * [progress]: [ 87 / 148 ] simplifiying candidate # 9.534 * * * * [progress]: [ 88 / 148 ] simplifiying candidate # 9.534 * * * * [progress]: [ 89 / 148 ] simplifiying candidate # 9.534 * * * * [progress]: [ 90 / 148 ] simplifiying candidate # 9.534 * * * * [progress]: [ 91 / 148 ] simplifiying candidate # 9.534 * * * * [progress]: [ 92 / 148 ] simplifiying candidate # 9.534 * * * * [progress]: [ 93 / 148 ] simplifiying candidate # 9.535 * * * * [progress]: [ 94 / 148 ] simplifiying candidate # 9.535 * * * * 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9.537 * * * * [progress]: [ 126 / 148 ] simplifiying candidate # 9.537 * * * * [progress]: [ 127 / 148 ] simplifiying candidate # 9.537 * * * * [progress]: [ 128 / 148 ] simplifiying candidate # 9.537 * * * * [progress]: [ 129 / 148 ] simplifiying candidate # 9.537 * * * * [progress]: [ 130 / 148 ] simplifiying candidate # 9.537 * * * * [progress]: [ 131 / 148 ] simplifiying candidate # 9.537 * * * * [progress]: [ 132 / 148 ] simplifiying candidate # 9.537 * * * * [progress]: [ 133 / 148 ] simplifiying candidate # 9.537 * * * * [progress]: [ 134 / 148 ] simplifiying candidate # 9.537 * * * * [progress]: [ 135 / 148 ] simplifiying candidate # 9.538 * * * * [progress]: [ 136 / 148 ] simplifiying candidate # 9.538 * * * * [progress]: [ 137 / 148 ] simplifiying candidate # 9.538 * * * * [progress]: [ 138 / 148 ] simplifiying candidate #real (real->posit16 (* (/ (/ PI (* a b)) (+ a b)) 1/2))))> 9.538 * * * * [progress]: [ 139 / 148 ] simplifiying candidate # 9.538 * * * * [progress]: [ 140 / 148 ] simplifiying candidate # 9.538 * * * * [progress]: [ 141 / 148 ] simplifiying candidate # 9.538 * * * * [progress]: [ 142 / 148 ] simplifiying candidate # 9.538 * * * * [progress]: [ 143 / 148 ] simplifiying candidate # 9.538 * * * * [progress]: [ 144 / 148 ] simplifiying candidate # 9.538 * * * * [progress]: [ 145 / 148 ] simplifiying candidate # 9.538 * * * * [progress]: [ 146 / 148 ] simplifiying candidate # 9.538 * * * * [progress]: [ 147 / 148 ] simplifiying candidate # 9.538 * * * * [progress]: [ 148 / 148 ] simplifiying candidate # 9.541 * [simplify]: Simplifying: (- (log PI) (+ (log a) (log b))) (- (log PI) (log (* a b))) (log (/ PI (* a b))) (exp (/ PI (* a b))) (/ (* (* PI PI) PI) (* (* (* a a) a) (* (* b b) b))) (/ (* (* PI PI) PI) (* (* (* a b) (* a b)) (* a b))) (* (cbrt (/ PI (* a b))) (cbrt (/ PI (* a b)))) (cbrt (/ PI (* a b))) (* (* (/ PI (* a b)) (/ PI (* a b))) (/ PI (* a b))) (sqrt (/ PI (* a b))) (sqrt (/ PI (* a b))) (- PI) (- (* a b)) (/ (* (cbrt PI) (cbrt PI)) a) (/ (cbrt PI) b) (/ (sqrt PI) a) (/ (sqrt PI) b) (/ 1 a) (/ PI b) (/ 1 (* a b)) (/ (* a b) PI) (/ PI a) (/ (* a b) (cbrt PI)) (/ (* a b) (sqrt PI)) (/ (* a b) PI) (real->posit16 (/ PI (* a b))) (- (- (log PI) (+ (log a) (log b))) (log (+ a b))) (- (- (log PI) (log (* a b))) (log (+ a b))) (- (log (/ PI (* a b))) (log (+ a b))) (log (/ (/ PI (* a b)) (+ a b))) (exp (/ (/ PI (* a b)) (+ a b))) (/ (/ (* (* PI PI) PI) (* (* (* a a) a) (* (* b b) b))) (* (* (+ a b) (+ a b)) (+ a b))) (/ (/ (* (* PI PI) PI) (* (* (* a b) (* a b)) (* a b))) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* (/ PI (* a b)) (/ PI (* a b))) (/ PI (* a b))) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ (/ PI (* a b)) (+ a b))) (cbrt (/ (/ PI (* a b)) (+ a b)))) (cbrt (/ (/ PI (* a b)) (+ a b))) (* (* (/ (/ PI (* a b)) (+ a b)) (/ (/ PI (* a b)) (+ a b))) (/ (/ PI (* a b)) (+ a b))) (sqrt (/ (/ PI (* a b)) (+ a b))) (sqrt (/ (/ PI (* a b)) (+ a b))) (- (/ PI (* a b))) (- (+ a b)) (/ (* (cbrt (/ PI (* a b))) (cbrt (/ PI (* a b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (/ PI (* a b))) (cbrt (+ a b))) (/ (* (cbrt (/ PI (* a b))) (cbrt (/ PI (* a b)))) (sqrt (+ a b))) (/ (cbrt (/ PI (* a b))) (sqrt (+ a b))) (/ (* (cbrt (/ PI (* a b))) (cbrt (/ PI (* a b)))) 1) (/ (cbrt (/ PI (* a b))) (+ a b)) (/ (* (cbrt (/ PI (* a b))) (cbrt (/ PI (* a b)))) 1) (/ (cbrt (/ PI (* a b))) (+ a b)) (/ (sqrt (/ PI (* a b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ PI (* a b))) (cbrt (+ a b))) (/ (sqrt (/ PI (* a b))) (sqrt (+ a b))) (/ (sqrt (/ PI (* a b))) (sqrt (+ a b))) (/ (sqrt (/ PI (* a b))) 1) (/ (sqrt (/ PI (* a b))) (+ a b)) (/ (sqrt (/ PI (* a b))) 1) (/ (sqrt (/ PI (* a b))) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) a) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (cbrt PI) b) (cbrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) a) (sqrt (+ a b))) (/ (/ (cbrt PI) b) (sqrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) a) 1) (/ (/ (cbrt PI) b) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) a) 1) (/ (/ (cbrt PI) b) (+ a b)) (/ (/ (sqrt PI) a) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt PI) b) (cbrt (+ a b))) (/ (/ (sqrt PI) a) (sqrt (+ a b))) (/ (/ (sqrt PI) b) (sqrt (+ a b))) (/ (/ (sqrt PI) a) 1) (/ (/ (sqrt PI) b) (+ a b)) (/ (/ (sqrt PI) a) 1) (/ (/ (sqrt PI) b) (+ a b)) (/ (/ 1 a) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI b) (cbrt (+ a b))) (/ (/ 1 a) (sqrt (+ a b))) (/ (/ PI b) (sqrt (+ a b))) (/ (/ 1 a) 1) (/ (/ PI b) (+ a b)) (/ (/ 1 a) 1) (/ (/ PI b) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (* a b)) (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ (/ PI (* a b)) (sqrt (+ a b))) (/ 1 1) (/ (/ PI (* a b)) (+ a b)) (/ 1 1) (/ (/ PI (* a b)) (+ a b)) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 (* a b)) (cbrt (+ a b))) (/ PI (sqrt (+ a b))) (/ (/ 1 (* a b)) (sqrt (+ a b))) (/ PI 1) (/ (/ 1 (* a b)) (+ a b)) (/ PI 1) (/ (/ 1 (* a b)) (+ a b)) (/ 1 (+ a b)) (/ (+ a b) (/ PI (* a b))) (/ (/ PI (* a b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (* a b)) (sqrt (+ a b))) (/ (/ PI (* 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(* (* (+ a b) (+ a b)) (+ a b))) (* (* 1/2 1/2) 1/2)) (* (* (* (/ (/ PI (* a b)) (+ a b)) (/ (/ PI (* a b)) (+ a b))) (/ (/ PI (* a b)) (+ a b))) (* (* 1/2 1/2) 1/2)) (* (cbrt (* (/ (/ PI (* a b)) (+ a b)) 1/2)) (cbrt (* (/ (/ PI (* a b)) (+ a b)) 1/2))) (cbrt (* (/ (/ PI (* a b)) (+ a b)) 1/2)) (* (* (* (/ (/ PI (* a b)) (+ a b)) 1/2) (* (/ (/ PI (* a b)) (+ a b)) 1/2)) (* (/ (/ PI (* a b)) (+ a b)) 1/2)) (sqrt (* (/ (/ PI (* a b)) (+ a b)) 1/2)) (sqrt (* (/ (/ PI (* a b)) (+ a b)) 1/2)) (* (sqrt (/ (/ PI (* a b)) (+ a b))) (sqrt 1/2)) (* (sqrt (/ (/ PI (* a b)) (+ a b))) (sqrt 1/2)) (* (/ (sqrt (/ PI (* a b))) (sqrt (+ a b))) (sqrt 1/2)) (* (/ (sqrt (/ PI (* a b))) (sqrt (+ a b))) (sqrt 1/2)) (* (/ (/ PI (* a b)) (+ a b)) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (* (/ (/ PI (* a b)) (+ a b)) 1) (* (cbrt (/ (/ PI (* a b)) (+ a b))) 1/2) (* (sqrt (/ (/ PI (* a b)) (+ a b))) 1/2) (* (/ (cbrt (/ PI (* a b))) (cbrt (+ a b))) 1/2) (* (/ (cbrt (/ PI (* a b))) (sqrt (+ a b))) 1/2) (* (/ (cbrt (/ PI (* a b))) (+ a b)) 1/2) (* (/ (cbrt (/ PI (* a b))) (+ a b)) 1/2) (* (/ (sqrt (/ PI (* a b))) (cbrt (+ a b))) 1/2) (* (/ (sqrt (/ PI (* a b))) (sqrt (+ a b))) 1/2) (* (/ (sqrt (/ PI (* a b))) (+ a b)) 1/2) (* (/ (sqrt (/ PI (* a b))) (+ a b)) 1/2) (* (/ (/ (cbrt PI) b) (cbrt (+ a b))) 1/2) (* (/ (/ (cbrt PI) b) (sqrt (+ a b))) 1/2) (* (/ (/ (cbrt PI) b) (+ a b)) 1/2) (* (/ (/ (cbrt PI) b) (+ a b)) 1/2) (* (/ (/ (sqrt PI) b) (cbrt (+ a b))) 1/2) (* (/ (/ (sqrt PI) b) (sqrt (+ a b))) 1/2) (* (/ (/ (sqrt PI) b) (+ a b)) 1/2) (* (/ (/ (sqrt PI) b) (+ a b)) 1/2) (* (/ (/ PI b) (cbrt (+ a b))) 1/2) (* (/ (/ PI b) (sqrt (+ a b))) 1/2) (* (/ (/ PI b) (+ a b)) 1/2) (* (/ (/ PI b) (+ a b)) 1/2) (* (/ (/ PI (* a b)) (cbrt (+ a b))) 1/2) (* (/ (/ PI (* a b)) (sqrt (+ a b))) 1/2) (* (/ (/ PI (* a b)) (+ a b)) 1/2) (* (/ (/ PI (* a b)) (+ a b)) 1/2) (* (/ (/ 1 (* a b)) (cbrt (+ a b))) 1/2) (* (/ (/ 1 (* a b)) (sqrt (+ a b))) 1/2) (* (/ (/ 1 (* a b)) (+ a b)) 1/2) (* (/ (/ 1 (* a b)) (+ a b)) 1/2) (* (/ (/ PI (* a b)) (+ a b)) 1/2) (* (/ 1 (+ a b)) 1/2) (* (+ (* a a) (- (* b b) (* a b))) 1/2) (* (- a b) 1/2) (* (/ PI (* a b)) 1/2) (real->posit16 (* (/ (/ PI (* a b)) (+ a b)) 1/2)) (/ PI (* a b)) (/ PI (* a b)) (/ PI (* a b)) 0 0 0 0 0 0 9.545 * * [simplify]: iteration 1: (189 enodes) 9.629 * * [simplify]: iteration 2: (827 enodes) 9.962 * * [simplify]: Extracting #0: cost 117 inf + 0 9.964 * * [simplify]: Extracting #1: cost 527 inf + 3 9.968 * * [simplify]: Extracting #2: cost 679 inf + 8901 9.987 * * [simplify]: Extracting #3: cost 338 inf + 71880 10.017 * * [simplify]: Extracting #4: cost 28 inf + 139232 10.058 * * [simplify]: Extracting #5: cost 0 inf + 143788 10.105 * * [simplify]: Extracting #6: cost 0 inf + 143668 10.168 * [simplify]: Simplified to: (log (/ (/ PI b) a)) (log (/ (/ PI b) a)) (log (/ (/ PI b) a)) (exp (/ (/ PI b) a)) (* (* (/ (/ PI b) a) (/ (/ PI b) a)) (/ (/ PI b) a)) (* (* (/ (/ PI b) a) (/ (/ PI b) a)) (/ (/ PI b) a)) (* (cbrt (/ (/ PI b) a)) (cbrt (/ (/ PI b) a))) (cbrt (/ (/ PI b) a)) (* (* (/ (/ PI b) a) (/ (/ PI b) a)) (/ (/ PI b) a)) (sqrt (/ (/ PI b) a)) (sqrt (/ (/ PI b) a)) (- PI) (* (- a) b) (* (/ (cbrt PI) a) (cbrt PI)) (/ (cbrt PI) b) (/ (sqrt PI) a) (/ (sqrt PI) b) (/ 1 a) (/ PI b) (/ 1 (* b a)) (* (/ a PI) b) (/ PI a) (/ (* b a) (cbrt PI)) (/ (* b a) (sqrt PI)) (* (/ a PI) b) (real->posit16 (/ (/ PI b) a)) (log (/ (/ PI a) (* b (+ a b)))) (log (/ (/ PI a) (* b (+ a b)))) (log (/ (/ PI a) (* b (+ a b)))) (log (/ (/ PI a) (* b (+ a b)))) (exp (/ (/ PI a) (* b (+ a b)))) (* (/ (/ PI a) (* b (+ a b))) (* (/ (/ PI a) (* b (+ a b))) (/ (/ PI a) (* b (+ a b))))) (* (/ (/ PI a) (* b (+ a b))) (* (/ (/ PI a) (* b (+ a b))) (/ (/ PI a) (* b (+ a b))))) (* (/ (/ PI a) (* b (+ a b))) (* (/ (/ PI a) (* b (+ a b))) (/ (/ PI a) (* b (+ a b))))) (* (cbrt (/ (/ PI a) (* b (+ a b)))) (cbrt (/ (/ PI a) (* b (+ a b))))) (cbrt (/ (/ PI a) (* b (+ a b)))) (* (/ (/ PI a) (* b (+ a b))) (* (/ (/ PI a) (* b (+ a b))) (/ (/ PI a) (* b (+ a b))))) (sqrt (/ (/ PI a) (* b (+ a b)))) (sqrt (/ (/ PI a) (* b (+ a b)))) (- (/ (/ PI b) a)) (- (- a) b) (* (/ (cbrt (/ (/ PI b) a)) (cbrt (+ a b))) (/ (cbrt (/ (/ PI b) a)) (cbrt (+ a b)))) (/ (cbrt (/ (/ PI b) a)) (cbrt (+ a b))) (/ (cbrt (/ (/ PI b) a)) (/ (sqrt (+ a b)) (cbrt (/ (/ PI b) a)))) (/ (cbrt (/ (/ PI b) a)) (sqrt (+ a b))) (* (cbrt (/ (/ PI b) a)) (cbrt (/ (/ PI b) a))) (/ (cbrt (/ (/ PI b) a)) (+ a b)) (* (cbrt (/ (/ PI b) a)) (cbrt (/ (/ PI b) a))) (/ (cbrt (/ (/ PI b) a)) (+ a b)) (/ (sqrt (/ (/ PI b) a)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ (/ PI b) a)) (cbrt (+ a b))) (/ (sqrt (/ (/ PI b) a)) (sqrt (+ a b))) (/ (sqrt (/ (/ PI b) a)) (sqrt (+ a b))) (sqrt (/ (/ PI b) a)) (/ (sqrt (/ (/ PI b) a)) (+ a b)) (sqrt (/ (/ PI b) a)) (/ (sqrt (/ (/ PI b) a)) (+ a b)) (/ (* (cbrt PI) (cbrt PI)) (* a (* (cbrt (+ a b)) (cbrt (+ a b))))) (/ (/ (cbrt PI) (cbrt (+ a b))) b) (/ (* (cbrt PI) (cbrt PI)) (* (sqrt (+ a b)) a)) (/ (/ (cbrt PI) b) (sqrt (+ a b))) (* (/ (cbrt PI) a) (cbrt PI)) (/ (/ (cbrt PI) (+ a b)) b) (* (/ (cbrt PI) a) (cbrt PI)) (/ (/ (cbrt PI) (+ a b)) b) (/ (/ (/ (sqrt PI) a) (cbrt (+ a b))) (cbrt (+ a b))) (/ (sqrt PI) (* (cbrt (+ a b)) b)) (/ (/ (sqrt PI) a) (sqrt (+ a b))) (/ (/ (sqrt PI) b) (sqrt (+ a b))) (/ (sqrt PI) a) (/ (sqrt PI) (* b (+ a b))) (/ (sqrt PI) a) (/ (sqrt PI) (* b (+ a b))) (/ (/ (/ 1 a) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ PI b) (cbrt (+ a b))) (/ (/ 1 a) (sqrt (+ a b))) (/ (/ PI b) (sqrt (+ a b))) (/ 1 a) (/ (/ PI b) (+ a b)) (/ 1 a) (/ (/ PI b) (+ a b)) (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ PI (* (cbrt (+ a b)) (* b a))) (/ 1 (sqrt (+ a b))) (/ PI (* (* b a) (sqrt (+ a b)))) 1 (/ (/ PI a) (* b (+ a b))) 1 (/ (/ PI a) (* b (+ a b))) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 (* b a)) (cbrt (+ a b))) (/ PI (sqrt (+ a b))) (/ (/ 1 (sqrt (+ a b))) (* b a)) PI (/ (/ 1 a) (* b (+ a b))) PI (/ (/ 1 a) (* b (+ a b))) (/ 1 (+ a b)) (* (* b a) (/ (+ a b) PI)) (/ (/ PI (* (cbrt (+ a b)) (* b a))) (cbrt (+ a b))) (/ PI (* (* b a) (sqrt (+ a b)))) (/ (/ PI b) a) (/ (/ PI b) a) (/ (+ a b) (cbrt (/ (/ PI b) a))) (/ (+ a b) (sqrt (/ (/ PI b) a))) (/ (* b (+ a b)) (cbrt PI)) (* (/ (+ a b) (sqrt PI)) b) (* (/ (+ a b) PI) b) (* (* b a) (/ (+ a b) PI)) (* (+ a b) (* b a)) (/ (/ (/ PI b) a) (+ (* b (* b b)) (* a (* a a)))) (/ (/ (/ PI a) (* b (+ a b))) (- a b)) (* (+ a b) (* b a)) (real->posit16 (/ (/ PI a) (* b (+ a b)))) (/ (* 1/2 (/ (/ PI b) a)) (+ a b)) (log (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (log (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (log (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (log (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (log (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (sqrt (exp (/ (/ PI a) (* b (+ a b))))) (* (* (/ (/ PI a) (* b (+ a b))) (/ (/ PI a) (* b (+ a b)))) (* (/ (/ PI a) (* b (+ a b))) 1/8)) (* (* (/ (/ PI a) (* b (+ a b))) (/ (/ PI a) (* b (+ a b)))) (* (/ (/ PI a) (* b (+ a b))) 1/8)) (* (* (/ (/ PI a) (* b (+ a b))) (/ (/ PI a) (* b (+ a b)))) (* (/ (/ PI a) (* b (+ a b))) 1/8)) (* (* (/ (/ PI a) (* b (+ a b))) (/ (/ PI a) (* b (+ a b)))) (* (/ (/ PI a) (* b (+ a b))) 1/8)) (* (cbrt (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (cbrt (/ (* 1/2 (/ (/ PI b) a)) (+ a b)))) (cbrt (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (* (* (/ (* 1/2 (/ (/ PI b) a)) (+ a b)) (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (sqrt (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (sqrt (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (* (sqrt (/ (/ PI a) (* b (+ a b)))) (sqrt 1/2)) (* (sqrt (/ (/ PI a) (* b (+ a b)))) (sqrt 1/2)) (* (sqrt 1/2) (/ (sqrt (/ (/ PI b) a)) (sqrt (+ a b)))) (* (sqrt 1/2) (/ (sqrt (/ (/ PI b) a)) (sqrt (+ a b)))) (* (/ (/ PI a) (* b (+ a b))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ PI b) a) (/ (+ a b) (sqrt 1/2))) (/ (/ PI a) (* b (+ a b))) (* 1/2 (cbrt (/ (/ PI a) (* b (+ a b))))) (* (sqrt (/ (/ PI a) (* b (+ a b)))) 1/2) (/ (* 1/2 (cbrt (/ (/ PI b) a))) (cbrt (+ a b))) (/ (* 1/2 (cbrt (/ (/ PI b) a))) (sqrt (+ a b))) (/ (* 1/2 (cbrt (/ (/ PI b) a))) (+ a b)) (/ (* 1/2 (cbrt (/ (/ PI b) a))) (+ a b)) (/ (* 1/2 (sqrt (/ (/ PI b) a))) (cbrt (+ a b))) (/ (* (sqrt (/ (/ PI b) a)) 1/2) (sqrt (+ a b))) (/ (* 1/2 (sqrt (/ (/ PI b) a))) (+ a b)) (/ (* 1/2 (sqrt (/ (/ PI b) a))) (+ a b)) (* (/ (/ (cbrt PI) (cbrt (+ a b))) b) 1/2) (/ (* 1/2 (/ (cbrt PI) b)) (sqrt (+ a b))) (* (/ (/ (cbrt PI) (+ a b)) b) 1/2) (* (/ (/ (cbrt PI) (+ a b)) b) 1/2) (/ (/ (* (sqrt PI) 1/2) b) (cbrt (+ a b))) (/ (* (sqrt PI) 1/2) (* (sqrt (+ a b)) b)) (/ (/ (sqrt PI) b) (/ (+ a b) 1/2)) (/ (/ (sqrt PI) b) (/ (+ a b) 1/2)) (/ (/ PI b) (/ (cbrt (+ a b)) 1/2)) (/ (* 1/2 (/ PI b)) (sqrt (+ a b))) (/ (* 1/2 (/ PI b)) (+ a b)) (/ (* 1/2 (/ PI b)) (+ a b)) (/ (* 1/2 (/ (/ PI b) a)) (cbrt (+ a b))) (* 1/2 (/ PI (* (* b a) (sqrt (+ a b))))) (/ (* 1/2 (/ (/ PI b) a)) (+ a b)) (/ (* 1/2 (/ (/ PI b) a)) (+ a b)) (/ (/ 1/2 (* b a)) (cbrt (+ a b))) (/ (/ 1/2 (* b a)) (sqrt (+ a b))) (/ (/ 1/2 (* b a)) (+ a b)) (/ (/ 1/2 (* b a)) (+ a b)) (/ (* 1/2 (/ (/ PI b) a)) (+ a b)) (/ 1/2 (+ a b)) (* (+ (* b (- b a)) (* a a)) 1/2) (* 1/2 (- a b)) (* 1/2 (/ (/ PI b) a)) (real->posit16 (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (/ (/ PI b) a) (/ (/ PI b) a) (/ (/ PI b) a) 0 0 0 0 0 0 10.183 * * * [progress]: adding candidates to table 11.401 * * [progress]: iteration 3 / 4 11.401 * * * [progress]: picking best candidate 11.424 * * * * [pick]: Picked # 11.425 * * * [progress]: localizing error 11.462 * * * [progress]: generating rewritten candidates 11.462 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 11.475 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 11.523 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 11.612 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 11.636 * * * [progress]: generating series expansions 11.636 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 11.636 * [backup-simplify]: Simplify (/ PI (* a b)) into (/ PI (* a b)) 11.636 * [approximate]: Taking taylor expansion of (/ PI (* a b)) in (a b) around 0 11.636 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in b 11.636 * [taylor]: Taking taylor expansion of PI in b 11.636 * [backup-simplify]: Simplify PI into PI 11.636 * [taylor]: Taking taylor expansion of (* a b) in b 11.636 * [taylor]: Taking taylor expansion of a in b 11.636 * [backup-simplify]: Simplify a into a 11.636 * [taylor]: Taking taylor expansion of b in b 11.636 * [backup-simplify]: Simplify 0 into 0 11.636 * [backup-simplify]: Simplify 1 into 1 11.637 * [backup-simplify]: Simplify (* a 0) into 0 11.637 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 11.637 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 11.637 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in a 11.637 * [taylor]: Taking taylor expansion of PI in a 11.637 * [backup-simplify]: Simplify PI into PI 11.637 * [taylor]: Taking taylor expansion of (* a b) in a 11.637 * [taylor]: Taking taylor expansion of a in a 11.637 * [backup-simplify]: Simplify 0 into 0 11.637 * [backup-simplify]: Simplify 1 into 1 11.637 * [taylor]: Taking taylor expansion of b in a 11.637 * [backup-simplify]: Simplify b into b 11.637 * [backup-simplify]: Simplify (* 0 b) into 0 11.638 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 11.638 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 11.638 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in a 11.638 * [taylor]: Taking taylor expansion of PI in a 11.638 * [backup-simplify]: Simplify PI into PI 11.638 * [taylor]: Taking taylor expansion of (* a b) in a 11.638 * [taylor]: Taking taylor expansion of a in a 11.638 * [backup-simplify]: Simplify 0 into 0 11.638 * [backup-simplify]: Simplify 1 into 1 11.638 * [taylor]: Taking taylor expansion of b in a 11.638 * [backup-simplify]: Simplify b into b 11.638 * [backup-simplify]: Simplify (* 0 b) into 0 11.638 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 11.638 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 11.638 * [taylor]: Taking taylor expansion of (/ PI b) in b 11.638 * [taylor]: Taking taylor expansion of PI in b 11.638 * [backup-simplify]: Simplify PI into PI 11.638 * [taylor]: Taking taylor expansion of b in b 11.638 * [backup-simplify]: Simplify 0 into 0 11.638 * [backup-simplify]: Simplify 1 into 1 11.639 * [backup-simplify]: Simplify (/ PI 1) into PI 11.639 * [backup-simplify]: Simplify PI into PI 11.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 11.639 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 11.639 * [taylor]: Taking taylor expansion of 0 in b 11.640 * [backup-simplify]: Simplify 0 into 0 11.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.640 * [backup-simplify]: Simplify 0 into 0 11.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 11.641 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 11.641 * [taylor]: Taking taylor expansion of 0 in b 11.641 * [backup-simplify]: Simplify 0 into 0 11.641 * [backup-simplify]: Simplify 0 into 0 11.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.642 * [backup-simplify]: Simplify 0 into 0 11.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 11.643 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 11.643 * [taylor]: Taking taylor expansion of 0 in b 11.643 * [backup-simplify]: Simplify 0 into 0 11.643 * [backup-simplify]: Simplify 0 into 0 11.643 * [backup-simplify]: Simplify 0 into 0 11.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.644 * [backup-simplify]: Simplify 0 into 0 11.644 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 11.644 * [backup-simplify]: Simplify (/ PI (* (/ 1 a) (/ 1 b))) into (* a (* b PI)) 11.644 * [approximate]: Taking taylor expansion of (* a (* b PI)) in (a b) around 0 11.644 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 11.644 * [taylor]: Taking taylor expansion of a in b 11.644 * [backup-simplify]: Simplify a into a 11.644 * [taylor]: Taking taylor expansion of (* b PI) in b 11.644 * [taylor]: Taking taylor expansion of b in b 11.644 * [backup-simplify]: Simplify 0 into 0 11.644 * [backup-simplify]: Simplify 1 into 1 11.644 * [taylor]: Taking taylor expansion of PI in b 11.644 * [backup-simplify]: Simplify PI into PI 11.644 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 11.644 * [taylor]: Taking taylor expansion of a in a 11.644 * [backup-simplify]: Simplify 0 into 0 11.644 * [backup-simplify]: Simplify 1 into 1 11.644 * [taylor]: Taking taylor expansion of (* b PI) in a 11.644 * [taylor]: Taking taylor expansion of b in a 11.644 * [backup-simplify]: Simplify b into b 11.644 * [taylor]: Taking taylor expansion of PI in a 11.644 * [backup-simplify]: Simplify PI into PI 11.644 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 11.644 * [taylor]: Taking taylor expansion of a in a 11.644 * [backup-simplify]: Simplify 0 into 0 11.644 * [backup-simplify]: Simplify 1 into 1 11.644 * [taylor]: Taking taylor expansion of (* b PI) in a 11.644 * [taylor]: Taking taylor expansion of b in a 11.644 * [backup-simplify]: Simplify b into b 11.644 * [taylor]: Taking taylor expansion of PI in a 11.644 * [backup-simplify]: Simplify PI into PI 11.644 * [backup-simplify]: Simplify (* b PI) into (* PI b) 11.644 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 11.644 * [taylor]: Taking taylor expansion of 0 in b 11.644 * [backup-simplify]: Simplify 0 into 0 11.644 * [backup-simplify]: Simplify 0 into 0 11.645 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 11.645 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 11.645 * [taylor]: Taking taylor expansion of (* b PI) in b 11.645 * [taylor]: Taking taylor expansion of b in b 11.645 * [backup-simplify]: Simplify 0 into 0 11.645 * [backup-simplify]: Simplify 1 into 1 11.645 * [taylor]: Taking taylor expansion of PI in b 11.645 * [backup-simplify]: Simplify PI into PI 11.645 * [backup-simplify]: Simplify (* 0 PI) into 0 11.645 * [backup-simplify]: Simplify 0 into 0 11.645 * [backup-simplify]: Simplify 0 into 0 11.646 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 11.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 11.646 * [taylor]: Taking taylor expansion of 0 in b 11.647 * [backup-simplify]: Simplify 0 into 0 11.647 * [backup-simplify]: Simplify 0 into 0 11.647 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.647 * [backup-simplify]: Simplify PI into PI 11.648 * [backup-simplify]: Simplify 0 into 0 11.648 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 11.649 * [taylor]: Taking taylor expansion of 0 in b 11.649 * [backup-simplify]: Simplify 0 into 0 11.649 * [backup-simplify]: Simplify 0 into 0 11.649 * [backup-simplify]: Simplify 0 into 0 11.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 11.650 * [backup-simplify]: Simplify 0 into 0 11.650 * [backup-simplify]: Simplify 0 into 0 11.650 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b)))))) into 0 11.651 * [taylor]: Taking taylor expansion of 0 in b 11.651 * [backup-simplify]: Simplify 0 into 0 11.651 * [backup-simplify]: Simplify 0 into 0 11.652 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 11.652 * [backup-simplify]: Simplify (/ PI (* (/ 1 (- a)) (/ 1 (- b)))) into (* a (* b PI)) 11.652 * [approximate]: Taking taylor expansion of (* a (* b PI)) in (a b) around 0 11.652 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 11.652 * [taylor]: Taking taylor expansion of a in b 11.652 * [backup-simplify]: Simplify a into a 11.652 * [taylor]: Taking taylor expansion of (* b PI) in b 11.652 * [taylor]: Taking taylor expansion of b in b 11.652 * [backup-simplify]: Simplify 0 into 0 11.652 * [backup-simplify]: Simplify 1 into 1 11.652 * [taylor]: Taking taylor expansion of PI in b 11.652 * [backup-simplify]: Simplify PI into PI 11.652 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 11.652 * [taylor]: Taking taylor expansion of a in a 11.652 * [backup-simplify]: Simplify 0 into 0 11.652 * [backup-simplify]: Simplify 1 into 1 11.652 * [taylor]: Taking taylor expansion of (* b PI) in a 11.652 * [taylor]: Taking taylor expansion of b in a 11.652 * [backup-simplify]: Simplify b into b 11.652 * [taylor]: Taking taylor expansion of PI in a 11.652 * [backup-simplify]: Simplify PI into PI 11.652 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 11.652 * [taylor]: Taking taylor expansion of a in a 11.652 * [backup-simplify]: Simplify 0 into 0 11.652 * [backup-simplify]: Simplify 1 into 1 11.652 * [taylor]: Taking taylor expansion of (* b PI) in a 11.652 * [taylor]: Taking taylor expansion of b in a 11.652 * [backup-simplify]: Simplify b into b 11.652 * [taylor]: Taking taylor expansion of PI in a 11.652 * [backup-simplify]: Simplify PI into PI 11.652 * [backup-simplify]: Simplify (* b PI) into (* PI b) 11.652 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 11.652 * [taylor]: Taking taylor expansion of 0 in b 11.652 * [backup-simplify]: Simplify 0 into 0 11.652 * [backup-simplify]: Simplify 0 into 0 11.653 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 11.653 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 11.653 * [taylor]: Taking taylor expansion of (* b PI) in b 11.653 * [taylor]: Taking taylor expansion of b in b 11.653 * [backup-simplify]: Simplify 0 into 0 11.653 * [backup-simplify]: Simplify 1 into 1 11.653 * [taylor]: Taking taylor expansion of PI in b 11.653 * [backup-simplify]: Simplify PI into PI 11.654 * [backup-simplify]: Simplify (* 0 PI) into 0 11.654 * [backup-simplify]: Simplify 0 into 0 11.654 * [backup-simplify]: Simplify 0 into 0 11.654 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 11.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 11.655 * [taylor]: Taking taylor expansion of 0 in b 11.655 * [backup-simplify]: Simplify 0 into 0 11.655 * [backup-simplify]: Simplify 0 into 0 11.657 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.657 * [backup-simplify]: Simplify PI into PI 11.657 * [backup-simplify]: Simplify 0 into 0 11.658 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 11.659 * [taylor]: Taking taylor expansion of 0 in b 11.659 * [backup-simplify]: Simplify 0 into 0 11.659 * [backup-simplify]: Simplify 0 into 0 11.660 * [backup-simplify]: Simplify 0 into 0 11.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 11.661 * [backup-simplify]: Simplify 0 into 0 11.661 * [backup-simplify]: Simplify 0 into 0 11.662 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b)))))) into 0 11.663 * [taylor]: Taking taylor expansion of 0 in b 11.663 * [backup-simplify]: Simplify 0 into 0 11.663 * [backup-simplify]: Simplify 0 into 0 11.664 * [backup-simplify]: Simplify (* PI (* (/ 1 (- b)) (/ 1 (- a)))) into (/ PI (* a b)) 11.664 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 11.664 * [backup-simplify]: Simplify (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) into (/ (* PI (sqrt 1/2)) (* a (* (+ a b) b))) 11.664 * [approximate]: Taking taylor expansion of (/ (* PI (sqrt 1/2)) (* a (* (+ a b) b))) in (a b) around 0 11.664 * [taylor]: Taking taylor expansion of (/ (* PI (sqrt 1/2)) (* a (* (+ a b) b))) in b 11.664 * [taylor]: Taking taylor expansion of (* PI (sqrt 1/2)) in b 11.664 * [taylor]: Taking taylor expansion of PI in b 11.664 * [backup-simplify]: Simplify PI into PI 11.664 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 11.664 * [taylor]: Taking taylor expansion of 1/2 in b 11.664 * [backup-simplify]: Simplify 1/2 into 1/2 11.665 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.666 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 11.666 * [taylor]: Taking taylor expansion of a in b 11.666 * [backup-simplify]: Simplify a into a 11.666 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 11.666 * [taylor]: Taking taylor expansion of (+ a b) in b 11.666 * [taylor]: Taking taylor expansion of a in b 11.666 * [backup-simplify]: Simplify a into a 11.666 * [taylor]: Taking taylor expansion of b in b 11.666 * [backup-simplify]: Simplify 0 into 0 11.666 * [backup-simplify]: Simplify 1 into 1 11.666 * [taylor]: Taking taylor expansion of b in b 11.666 * [backup-simplify]: Simplify 0 into 0 11.666 * [backup-simplify]: Simplify 1 into 1 11.667 * [backup-simplify]: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) 11.667 * [backup-simplify]: Simplify (+ a 0) into a 11.667 * [backup-simplify]: Simplify (* a 0) into 0 11.667 * [backup-simplify]: Simplify (* a 0) into 0 11.668 * [backup-simplify]: Simplify (+ 0 1) into 1 11.668 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 11.669 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 11.670 * [backup-simplify]: Simplify (/ (* PI (sqrt 1/2)) (pow a 2)) into (/ (* PI (sqrt 1/2)) (pow a 2)) 11.670 * [taylor]: Taking taylor expansion of (/ (* PI (sqrt 1/2)) (* a (* (+ a b) b))) in a 11.670 * [taylor]: Taking taylor expansion of (* PI (sqrt 1/2)) in a 11.670 * [taylor]: Taking taylor expansion of PI in a 11.670 * [backup-simplify]: Simplify PI into PI 11.670 * [taylor]: Taking taylor expansion of (sqrt 1/2) in a 11.670 * [taylor]: Taking taylor expansion of 1/2 in a 11.670 * [backup-simplify]: Simplify 1/2 into 1/2 11.670 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.671 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 11.671 * [taylor]: Taking taylor expansion of a in a 11.671 * [backup-simplify]: Simplify 0 into 0 11.671 * [backup-simplify]: Simplify 1 into 1 11.671 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 11.671 * [taylor]: Taking taylor expansion of (+ a b) in a 11.671 * [taylor]: Taking taylor expansion of a in a 11.671 * [backup-simplify]: Simplify 0 into 0 11.671 * [backup-simplify]: Simplify 1 into 1 11.671 * [taylor]: Taking taylor expansion of b in a 11.671 * [backup-simplify]: Simplify b into b 11.671 * [taylor]: Taking taylor expansion of b in a 11.671 * [backup-simplify]: Simplify b into b 11.672 * [backup-simplify]: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) 11.672 * [backup-simplify]: Simplify (+ 0 b) into b 11.672 * [backup-simplify]: Simplify (* b b) into (pow b 2) 11.672 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 11.673 * [backup-simplify]: Simplify (+ 1 0) into 1 11.673 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 11.673 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 11.674 * [backup-simplify]: Simplify (/ (* PI (sqrt 1/2)) (pow b 2)) into (/ (* PI (sqrt 1/2)) (pow b 2)) 11.674 * [taylor]: Taking taylor expansion of (/ (* PI (sqrt 1/2)) (* a (* (+ a b) b))) in a 11.674 * [taylor]: Taking taylor expansion of (* PI (sqrt 1/2)) in a 11.674 * [taylor]: Taking taylor expansion of PI in a 11.674 * [backup-simplify]: Simplify PI into PI 11.674 * [taylor]: Taking taylor expansion of (sqrt 1/2) in a 11.674 * [taylor]: Taking taylor expansion of 1/2 in a 11.674 * [backup-simplify]: Simplify 1/2 into 1/2 11.675 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.675 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 11.676 * [taylor]: Taking taylor expansion of a in a 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify 1 into 1 11.676 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 11.676 * [taylor]: Taking taylor expansion of (+ a b) in a 11.676 * [taylor]: Taking taylor expansion of a in a 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify 1 into 1 11.676 * [taylor]: Taking taylor expansion of b in a 11.676 * [backup-simplify]: Simplify b into b 11.676 * [taylor]: Taking taylor expansion of b in a 11.676 * [backup-simplify]: Simplify b into b 11.677 * [backup-simplify]: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) 11.677 * [backup-simplify]: Simplify (+ 0 b) into b 11.677 * [backup-simplify]: Simplify (* b b) into (pow b 2) 11.677 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 11.680 * [backup-simplify]: Simplify (+ 1 0) into 1 11.680 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 11.680 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 11.681 * [backup-simplify]: Simplify (/ (* PI (sqrt 1/2)) (pow b 2)) into (/ (* PI (sqrt 1/2)) (pow b 2)) 11.681 * [taylor]: Taking taylor expansion of (/ (* PI (sqrt 1/2)) (pow b 2)) in b 11.681 * [taylor]: Taking taylor expansion of (* PI (sqrt 1/2)) in b 11.681 * [taylor]: Taking taylor expansion of PI in b 11.681 * [backup-simplify]: Simplify PI into PI 11.681 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 11.681 * [taylor]: Taking taylor expansion of 1/2 in b 11.681 * [backup-simplify]: Simplify 1/2 into 1/2 11.682 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.682 * [taylor]: Taking taylor expansion of (pow b 2) in b 11.682 * [taylor]: Taking taylor expansion of b in b 11.682 * [backup-simplify]: Simplify 0 into 0 11.682 * [backup-simplify]: Simplify 1 into 1 11.683 * [backup-simplify]: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) 11.683 * [backup-simplify]: Simplify (* 1 1) into 1 11.684 * [backup-simplify]: Simplify (/ (* PI (sqrt 1/2)) 1) into (* PI (sqrt 1/2)) 11.685 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (sqrt 1/2))) into 0 11.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (sqrt 1/2)) (/ 0 1)))) into 0 11.686 * [backup-simplify]: Simplify 0 into 0 11.686 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (sqrt 1/2))) into 0 11.687 * [backup-simplify]: Simplify (+ 0 0) into 0 11.687 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (* 0 b))) into 0 11.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 b) (* 0 (pow b 2)))) into b 11.688 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (* PI (sqrt 1/2)) (pow b 2)) (/ b (pow b 2))))) into (- (/ (* PI (sqrt 1/2)) (pow b 3))) 11.688 * [taylor]: Taking taylor expansion of (- (/ (* PI (sqrt 1/2)) (pow b 3))) in b 11.688 * [taylor]: Taking taylor expansion of (/ (* PI (sqrt 1/2)) (pow b 3)) in b 11.688 * [taylor]: Taking taylor expansion of (* PI (sqrt 1/2)) in b 11.688 * [taylor]: Taking taylor expansion of PI in b 11.688 * [backup-simplify]: Simplify PI into PI 11.688 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 11.688 * [taylor]: Taking taylor expansion of 1/2 in b 11.688 * [backup-simplify]: Simplify 1/2 into 1/2 11.688 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.689 * [taylor]: Taking taylor expansion of (pow b 3) in b 11.689 * [taylor]: Taking taylor expansion of b in b 11.689 * [backup-simplify]: Simplify 0 into 0 11.689 * [backup-simplify]: Simplify 1 into 1 11.689 * [backup-simplify]: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) 11.690 * [backup-simplify]: Simplify (* 1 1) into 1 11.690 * [backup-simplify]: Simplify (* 1 1) into 1 11.691 * [backup-simplify]: Simplify (/ (* PI (sqrt 1/2)) 1) into (* PI (sqrt 1/2)) 11.692 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.693 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.695 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (sqrt 1/2))) into 0 11.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (sqrt 1/2)) (/ 0 1)))) into 0 11.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (sqrt 1/2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.697 * [backup-simplify]: Simplify (- 0) into 0 11.697 * [backup-simplify]: Simplify 0 into 0 11.697 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.698 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (sqrt 1/2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.700 * [backup-simplify]: Simplify 0 into 0 11.701 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.701 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.702 * [backup-simplify]: Simplify (+ 0 0) into 0 11.702 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 11.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 b) (* 0 (pow b 2))))) into 0 11.704 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (* PI (sqrt 1/2)) (pow b 2)) (/ 0 (pow b 2))) (* (- (/ (* PI (sqrt 1/2)) (pow b 3))) (/ b (pow b 2))))) into (/ (* PI (sqrt 1/2)) (pow b 4)) 11.704 * [taylor]: Taking taylor expansion of (/ (* PI (sqrt 1/2)) (pow b 4)) in b 11.704 * [taylor]: Taking taylor expansion of (* PI (sqrt 1/2)) in b 11.704 * [taylor]: Taking taylor expansion of PI in b 11.704 * [backup-simplify]: Simplify PI into PI 11.704 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 11.704 * [taylor]: Taking taylor expansion of 1/2 in b 11.704 * [backup-simplify]: Simplify 1/2 into 1/2 11.705 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.705 * [taylor]: Taking taylor expansion of (pow b 4) in b 11.705 * [taylor]: Taking taylor expansion of b in b 11.705 * [backup-simplify]: Simplify 0 into 0 11.705 * [backup-simplify]: Simplify 1 into 1 11.706 * [backup-simplify]: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) 11.706 * [backup-simplify]: Simplify (* 1 1) into 1 11.706 * [backup-simplify]: Simplify (* 1 1) into 1 11.707 * [backup-simplify]: Simplify (/ (* PI (sqrt 1/2)) 1) into (* PI (sqrt 1/2)) 11.708 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.709 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.710 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 11.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.715 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (sqrt 1/2))) into 0 11.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (sqrt 1/2)) (/ 0 1)))) into 0 11.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.719 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (sqrt 1/2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (sqrt 1/2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.722 * [backup-simplify]: Simplify 0 into 0 11.724 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.725 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 11.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (sqrt 1/2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.727 * [backup-simplify]: Simplify (- 0) into 0 11.727 * [backup-simplify]: Simplify 0 into 0 11.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.729 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 11.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (sqrt 1/2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.730 * [backup-simplify]: Simplify 0 into 0 11.730 * [backup-simplify]: Simplify 0 into 0 11.731 * [backup-simplify]: Simplify (* (/ (/ PI (* (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) (sqrt 1/2)) into (/ (* a (* b (* (sqrt 1/2) PI))) (+ (/ 1 a) (/ 1 b))) 11.731 * [approximate]: Taking taylor expansion of (/ (* a (* b (* (sqrt 1/2) PI))) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 11.731 * [taylor]: Taking taylor expansion of (/ (* a (* b (* (sqrt 1/2) PI))) (+ (/ 1 a) (/ 1 b))) in b 11.731 * [taylor]: Taking taylor expansion of (* a (* b (* (sqrt 1/2) PI))) in b 11.731 * [taylor]: Taking taylor expansion of a in b 11.731 * [backup-simplify]: Simplify a into a 11.731 * [taylor]: Taking taylor expansion of (* b (* (sqrt 1/2) PI)) in b 11.731 * [taylor]: Taking taylor expansion of b in b 11.731 * [backup-simplify]: Simplify 0 into 0 11.731 * [backup-simplify]: Simplify 1 into 1 11.731 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) PI) in b 11.731 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 11.731 * [taylor]: Taking taylor expansion of 1/2 in b 11.731 * [backup-simplify]: Simplify 1/2 into 1/2 11.732 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.732 * [taylor]: Taking taylor expansion of PI in b 11.732 * [backup-simplify]: Simplify PI into PI 11.732 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 11.732 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.732 * [taylor]: Taking taylor expansion of a in b 11.732 * [backup-simplify]: Simplify a into a 11.732 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.732 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.732 * [taylor]: Taking taylor expansion of b in b 11.732 * [backup-simplify]: Simplify 0 into 0 11.732 * [backup-simplify]: Simplify 1 into 1 11.732 * [backup-simplify]: Simplify (/ 1 1) into 1 11.733 * [backup-simplify]: Simplify (* (sqrt 1/2) PI) into (* PI (sqrt 1/2)) 11.733 * [backup-simplify]: Simplify (* 0 (* PI (sqrt 1/2))) into 0 11.733 * [backup-simplify]: Simplify (* a 0) into 0 11.734 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 PI)) into 0 11.736 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI (sqrt 1/2)))) into (* PI (sqrt 1/2)) 11.737 * [backup-simplify]: Simplify (+ (* a (* PI (sqrt 1/2))) (* 0 0)) into (* a (* PI (sqrt 1/2))) 11.737 * [backup-simplify]: Simplify (+ 0 1) into 1 11.738 * [backup-simplify]: Simplify (/ (* a (* PI (sqrt 1/2))) 1) into (* a (* PI (sqrt 1/2))) 11.738 * [taylor]: Taking taylor expansion of (/ (* a (* b (* (sqrt 1/2) PI))) (+ (/ 1 a) (/ 1 b))) in a 11.738 * [taylor]: Taking taylor expansion of (* a (* b (* (sqrt 1/2) PI))) in a 11.738 * [taylor]: Taking taylor expansion of a in a 11.738 * [backup-simplify]: Simplify 0 into 0 11.738 * [backup-simplify]: Simplify 1 into 1 11.738 * [taylor]: Taking taylor expansion of (* b (* (sqrt 1/2) PI)) in a 11.738 * [taylor]: Taking taylor expansion of b in a 11.738 * [backup-simplify]: Simplify b into b 11.738 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) PI) in a 11.738 * [taylor]: Taking taylor expansion of (sqrt 1/2) in a 11.738 * [taylor]: Taking taylor expansion of 1/2 in a 11.738 * [backup-simplify]: Simplify 1/2 into 1/2 11.738 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.738 * [taylor]: Taking taylor expansion of PI in a 11.739 * [backup-simplify]: Simplify PI into PI 11.739 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 11.739 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.739 * [taylor]: Taking taylor expansion of a in a 11.739 * [backup-simplify]: Simplify 0 into 0 11.739 * [backup-simplify]: Simplify 1 into 1 11.739 * [backup-simplify]: Simplify (/ 1 1) into 1 11.739 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.739 * [taylor]: Taking taylor expansion of b in a 11.739 * [backup-simplify]: Simplify b into b 11.739 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.739 * [backup-simplify]: Simplify (* (sqrt 1/2) PI) into (* PI (sqrt 1/2)) 11.740 * [backup-simplify]: Simplify (* b (* PI (sqrt 1/2))) into (* PI (* b (sqrt 1/2))) 11.740 * [backup-simplify]: Simplify (* 0 (* PI (* b (sqrt 1/2)))) into 0 11.741 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 PI)) into 0 11.741 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (* PI (sqrt 1/2)))) into 0 11.742 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI (* b (sqrt 1/2))))) into (* b (* PI (sqrt 1/2))) 11.742 * [backup-simplify]: Simplify (+ 1 0) into 1 11.743 * [backup-simplify]: Simplify (/ (* b (* PI (sqrt 1/2))) 1) into (* b (* PI (sqrt 1/2))) 11.743 * [taylor]: Taking taylor expansion of (/ (* a (* b (* (sqrt 1/2) PI))) (+ (/ 1 a) (/ 1 b))) in a 11.743 * [taylor]: Taking taylor expansion of (* a (* b (* (sqrt 1/2) PI))) in a 11.743 * [taylor]: Taking taylor expansion of a in a 11.743 * [backup-simplify]: Simplify 0 into 0 11.743 * [backup-simplify]: Simplify 1 into 1 11.743 * [taylor]: Taking taylor expansion of (* b (* (sqrt 1/2) PI)) in a 11.743 * [taylor]: Taking taylor expansion of b in a 11.743 * [backup-simplify]: Simplify b into b 11.743 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) PI) in a 11.743 * [taylor]: Taking taylor expansion of (sqrt 1/2) in a 11.743 * [taylor]: Taking taylor expansion of 1/2 in a 11.743 * [backup-simplify]: Simplify 1/2 into 1/2 11.743 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.744 * [taylor]: Taking taylor expansion of PI in a 11.744 * [backup-simplify]: Simplify PI into PI 11.744 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 11.744 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.744 * [taylor]: Taking taylor expansion of a in a 11.744 * [backup-simplify]: Simplify 0 into 0 11.744 * [backup-simplify]: Simplify 1 into 1 11.744 * [backup-simplify]: Simplify (/ 1 1) into 1 11.744 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.744 * [taylor]: Taking taylor expansion of b in a 11.744 * [backup-simplify]: Simplify b into b 11.744 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.745 * [backup-simplify]: Simplify (* (sqrt 1/2) PI) into (* PI (sqrt 1/2)) 11.745 * [backup-simplify]: Simplify (* b (* PI (sqrt 1/2))) into (* PI (* b (sqrt 1/2))) 11.746 * [backup-simplify]: Simplify (* 0 (* PI (* b (sqrt 1/2)))) into 0 11.746 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 PI)) into 0 11.746 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (* PI (sqrt 1/2)))) into 0 11.747 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI (* b (sqrt 1/2))))) into (* b (* PI (sqrt 1/2))) 11.747 * [backup-simplify]: Simplify (+ 1 0) into 1 11.748 * [backup-simplify]: Simplify (/ (* b (* PI (sqrt 1/2))) 1) into (* b (* PI (sqrt 1/2))) 11.748 * [taylor]: Taking taylor expansion of (* b (* PI (sqrt 1/2))) in b 11.748 * [taylor]: Taking taylor expansion of b in b 11.748 * [backup-simplify]: Simplify 0 into 0 11.748 * [backup-simplify]: Simplify 1 into 1 11.748 * [taylor]: Taking taylor expansion of (* PI (sqrt 1/2)) in b 11.748 * [taylor]: Taking taylor expansion of PI in b 11.748 * [backup-simplify]: Simplify PI into PI 11.748 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 11.748 * [taylor]: Taking taylor expansion of 1/2 in b 11.748 * [backup-simplify]: Simplify 1/2 into 1/2 11.748 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.750 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.750 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.751 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (sqrt 1/2))) into 0 11.751 * [backup-simplify]: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) 11.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI (sqrt 1/2))))) into 0 11.752 * [backup-simplify]: Simplify 0 into 0 11.753 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.755 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 PI))) into 0 11.756 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 (* PI (sqrt 1/2))))) into 0 11.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI (* b (sqrt 1/2)))))) into 0 11.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.758 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 11.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b (* PI (sqrt 1/2))) (/ (/ 1 b) 1)))) into (- (* PI (sqrt 1/2))) 11.760 * [taylor]: Taking taylor expansion of (- (* PI (sqrt 1/2))) in b 11.760 * [taylor]: Taking taylor expansion of (* PI (sqrt 1/2)) in b 11.760 * [taylor]: Taking taylor expansion of PI in b 11.760 * [backup-simplify]: Simplify PI into PI 11.760 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 11.760 * [taylor]: Taking taylor expansion of 1/2 in b 11.760 * [backup-simplify]: Simplify 1/2 into 1/2 11.760 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.762 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.763 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.764 * [backup-simplify]: Simplify (- 0) into 0 11.764 * [backup-simplify]: Simplify 0 into 0 11.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.766 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 11.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI (sqrt 1/2)))))) into 0 11.768 * [backup-simplify]: Simplify 0 into 0 11.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.770 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.771 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI (sqrt 1/2)))))) into 0 11.772 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI (* b (sqrt 1/2))))))) into 0 11.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.772 * [backup-simplify]: Simplify (+ 0 0) into 0 11.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b (* PI (sqrt 1/2))) (/ 0 1)) (* (- (* PI (sqrt 1/2))) (/ (/ 1 b) 1)))) into (/ (* PI (sqrt 1/2)) b) 11.775 * [taylor]: Taking taylor expansion of (/ (* PI (sqrt 1/2)) b) in b 11.775 * [taylor]: Taking taylor expansion of (* PI (sqrt 1/2)) in b 11.775 * [taylor]: Taking taylor expansion of PI in b 11.775 * [backup-simplify]: Simplify PI into PI 11.775 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 11.775 * [taylor]: Taking taylor expansion of 1/2 in b 11.775 * [backup-simplify]: Simplify 1/2 into 1/2 11.775 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.775 * [taylor]: Taking taylor expansion of b in b 11.775 * [backup-simplify]: Simplify 0 into 0 11.776 * [backup-simplify]: Simplify 1 into 1 11.776 * [backup-simplify]: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) 11.777 * [backup-simplify]: Simplify (/ (* PI (sqrt 1/2)) 1) into (* PI (sqrt 1/2)) 11.778 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.779 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.784 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 11.785 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (sqrt 1/2))) into 0 11.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (sqrt 1/2)) (/ 0 1)))) into 0 11.787 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (sqrt 1/2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (sqrt 1/2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.789 * [backup-simplify]: Simplify 0 into 0 11.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.790 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 11.791 * [backup-simplify]: Simplify (- 0) into 0 11.791 * [backup-simplify]: Simplify 0 into 0 11.792 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.792 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 11.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI (sqrt 1/2))))))) into 0 11.794 * [backup-simplify]: Simplify 0 into 0 11.794 * [backup-simplify]: Simplify 0 into 0 11.795 * [backup-simplify]: Simplify (* (/ (/ PI (* (/ 1 (- a)) (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) (sqrt 1/2)) into (* -1 (/ (* a (* b (* (sqrt 1/2) PI))) (+ (/ 1 a) (/ 1 b)))) 11.795 * [approximate]: Taking taylor expansion of (* -1 (/ (* a (* b (* (sqrt 1/2) PI))) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 11.795 * [taylor]: Taking taylor expansion of (* -1 (/ (* a (* b (* (sqrt 1/2) PI))) (+ (/ 1 a) (/ 1 b)))) in b 11.795 * [taylor]: Taking taylor expansion of -1 in b 11.795 * [backup-simplify]: Simplify -1 into -1 11.795 * [taylor]: Taking taylor expansion of (/ (* a (* b (* (sqrt 1/2) PI))) (+ (/ 1 a) (/ 1 b))) in b 11.795 * [taylor]: Taking taylor expansion of (* a (* b (* (sqrt 1/2) PI))) in b 11.796 * [taylor]: Taking taylor expansion of a in b 11.796 * [backup-simplify]: Simplify a into a 11.796 * [taylor]: Taking taylor expansion of (* b (* (sqrt 1/2) PI)) in b 11.796 * [taylor]: Taking taylor expansion of b in b 11.796 * [backup-simplify]: Simplify 0 into 0 11.796 * [backup-simplify]: Simplify 1 into 1 11.796 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) PI) in b 11.796 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 11.796 * [taylor]: Taking taylor expansion of 1/2 in b 11.796 * [backup-simplify]: Simplify 1/2 into 1/2 11.796 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.797 * [taylor]: Taking taylor expansion of PI in b 11.797 * [backup-simplify]: Simplify PI into PI 11.797 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 11.797 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.797 * [taylor]: Taking taylor expansion of a in b 11.797 * [backup-simplify]: Simplify a into a 11.797 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.797 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.797 * [taylor]: Taking taylor expansion of b in b 11.797 * [backup-simplify]: Simplify 0 into 0 11.797 * [backup-simplify]: Simplify 1 into 1 11.798 * [backup-simplify]: Simplify (/ 1 1) into 1 11.799 * [backup-simplify]: Simplify (* (sqrt 1/2) PI) into (* PI (sqrt 1/2)) 11.799 * [backup-simplify]: Simplify (* 0 (* PI (sqrt 1/2))) into 0 11.800 * [backup-simplify]: Simplify (* a 0) into 0 11.801 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 PI)) into 0 11.804 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI (sqrt 1/2)))) into (* PI (sqrt 1/2)) 11.805 * [backup-simplify]: Simplify (+ (* a (* PI (sqrt 1/2))) (* 0 0)) into (* a (* PI (sqrt 1/2))) 11.805 * [backup-simplify]: Simplify (+ 0 1) into 1 11.806 * [backup-simplify]: Simplify (/ (* a (* PI (sqrt 1/2))) 1) into (* a (* PI (sqrt 1/2))) 11.806 * [taylor]: Taking taylor expansion of (* -1 (/ (* a (* b (* (sqrt 1/2) PI))) (+ (/ 1 a) (/ 1 b)))) in a 11.806 * [taylor]: Taking taylor expansion of -1 in a 11.807 * [backup-simplify]: Simplify -1 into -1 11.807 * [taylor]: Taking taylor expansion of (/ (* a (* b (* (sqrt 1/2) PI))) (+ (/ 1 a) (/ 1 b))) in a 11.807 * [taylor]: Taking taylor expansion of (* a (* b (* (sqrt 1/2) PI))) in a 11.807 * [taylor]: Taking taylor expansion of a in a 11.807 * [backup-simplify]: Simplify 0 into 0 11.807 * [backup-simplify]: Simplify 1 into 1 11.807 * [taylor]: Taking taylor expansion of (* b (* (sqrt 1/2) PI)) in a 11.807 * [taylor]: Taking taylor expansion of b in a 11.807 * [backup-simplify]: Simplify b into b 11.807 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) PI) in a 11.807 * [taylor]: Taking taylor expansion of (sqrt 1/2) in a 11.807 * [taylor]: Taking taylor expansion of 1/2 in a 11.807 * [backup-simplify]: Simplify 1/2 into 1/2 11.807 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.808 * [taylor]: Taking taylor expansion of PI in a 11.808 * [backup-simplify]: Simplify PI into PI 11.808 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 11.808 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.808 * [taylor]: Taking taylor expansion of a in a 11.808 * [backup-simplify]: Simplify 0 into 0 11.808 * [backup-simplify]: Simplify 1 into 1 11.808 * [backup-simplify]: Simplify (/ 1 1) into 1 11.809 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.809 * [taylor]: Taking taylor expansion of b in a 11.809 * [backup-simplify]: Simplify b into b 11.809 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.810 * [backup-simplify]: Simplify (* (sqrt 1/2) PI) into (* PI (sqrt 1/2)) 11.811 * [backup-simplify]: Simplify (* b (* PI (sqrt 1/2))) into (* PI (* b (sqrt 1/2))) 11.811 * [backup-simplify]: Simplify (* 0 (* PI (* b (sqrt 1/2)))) into 0 11.812 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 PI)) into 0 11.813 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (* PI (sqrt 1/2)))) into 0 11.814 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI (* b (sqrt 1/2))))) into (* b (* PI (sqrt 1/2))) 11.814 * [backup-simplify]: Simplify (+ 1 0) into 1 11.815 * [backup-simplify]: Simplify (/ (* b (* PI (sqrt 1/2))) 1) into (* b (* PI (sqrt 1/2))) 11.815 * [taylor]: Taking taylor expansion of (* -1 (/ (* a (* b (* (sqrt 1/2) PI))) (+ (/ 1 a) (/ 1 b)))) in a 11.815 * [taylor]: Taking taylor expansion of -1 in a 11.815 * [backup-simplify]: Simplify -1 into -1 11.815 * [taylor]: Taking taylor expansion of (/ (* a (* b (* (sqrt 1/2) PI))) (+ (/ 1 a) (/ 1 b))) in a 11.815 * [taylor]: Taking taylor expansion of (* a (* b (* (sqrt 1/2) PI))) in a 11.815 * [taylor]: Taking taylor expansion of a in a 11.815 * [backup-simplify]: Simplify 0 into 0 11.815 * [backup-simplify]: Simplify 1 into 1 11.815 * [taylor]: Taking taylor expansion of (* b (* (sqrt 1/2) PI)) in a 11.815 * [taylor]: Taking taylor expansion of b in a 11.815 * [backup-simplify]: Simplify b into b 11.815 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) PI) in a 11.815 * [taylor]: Taking taylor expansion of (sqrt 1/2) in a 11.815 * [taylor]: Taking taylor expansion of 1/2 in a 11.815 * [backup-simplify]: Simplify 1/2 into 1/2 11.816 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.817 * [taylor]: Taking taylor expansion of PI in a 11.817 * [backup-simplify]: Simplify PI into PI 11.817 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 11.817 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.817 * [taylor]: Taking taylor expansion of a in a 11.817 * [backup-simplify]: Simplify 0 into 0 11.817 * [backup-simplify]: Simplify 1 into 1 11.817 * [backup-simplify]: Simplify (/ 1 1) into 1 11.817 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.817 * [taylor]: Taking taylor expansion of b in a 11.817 * [backup-simplify]: Simplify b into b 11.817 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.818 * [backup-simplify]: Simplify (* (sqrt 1/2) PI) into (* PI (sqrt 1/2)) 11.819 * [backup-simplify]: Simplify (* b (* PI (sqrt 1/2))) into (* PI (* b (sqrt 1/2))) 11.820 * [backup-simplify]: Simplify (* 0 (* PI (* b (sqrt 1/2)))) into 0 11.821 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 PI)) into 0 11.821 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (* PI (sqrt 1/2)))) into 0 11.822 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI (* b (sqrt 1/2))))) into (* b (* PI (sqrt 1/2))) 11.823 * [backup-simplify]: Simplify (+ 1 0) into 1 11.824 * [backup-simplify]: Simplify (/ (* b (* PI (sqrt 1/2))) 1) into (* b (* PI (sqrt 1/2))) 11.825 * [backup-simplify]: Simplify (* -1 (* b (* PI (sqrt 1/2)))) into (* -1 (* b (* PI (sqrt 1/2)))) 11.825 * [taylor]: Taking taylor expansion of (* -1 (* b (* PI (sqrt 1/2)))) in b 11.825 * [taylor]: Taking taylor expansion of -1 in b 11.825 * [backup-simplify]: Simplify -1 into -1 11.825 * [taylor]: Taking taylor expansion of (* b (* PI (sqrt 1/2))) in b 11.825 * [taylor]: Taking taylor expansion of b in b 11.825 * [backup-simplify]: Simplify 0 into 0 11.825 * [backup-simplify]: Simplify 1 into 1 11.825 * [taylor]: Taking taylor expansion of (* PI (sqrt 1/2)) in b 11.825 * [taylor]: Taking taylor expansion of PI in b 11.825 * [backup-simplify]: Simplify PI into PI 11.825 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 11.825 * [taylor]: Taking taylor expansion of 1/2 in b 11.825 * [backup-simplify]: Simplify 1/2 into 1/2 11.825 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.827 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.829 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.830 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (sqrt 1/2))) into 0 11.830 * [backup-simplify]: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) 11.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI (sqrt 1/2))))) into 0 11.835 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI (sqrt 1/2)))) into (* PI (sqrt 1/2)) 11.836 * [backup-simplify]: Simplify (* 0 (* PI (sqrt 1/2))) into 0 11.837 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* PI (sqrt 1/2))) (* 0 0))) into 0 11.837 * [backup-simplify]: Simplify 0 into 0 11.839 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.840 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 PI))) into 0 11.841 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 (* PI (sqrt 1/2))))) into 0 11.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI (* b (sqrt 1/2)))))) into 0 11.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.843 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 11.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b (* PI (sqrt 1/2))) (/ (/ 1 b) 1)))) into (- (* PI (sqrt 1/2))) 11.848 * [backup-simplify]: Simplify (+ (* -1 (- (* PI (sqrt 1/2)))) (* 0 (* b (* PI (sqrt 1/2))))) into (* PI (sqrt 1/2)) 11.848 * [taylor]: Taking taylor expansion of (* PI (sqrt 1/2)) in b 11.848 * [taylor]: Taking taylor expansion of PI in b 11.848 * [backup-simplify]: Simplify PI into PI 11.848 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 11.848 * [taylor]: Taking taylor expansion of 1/2 in b 11.848 * [backup-simplify]: Simplify 1/2 into 1/2 11.848 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.850 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.851 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.851 * [backup-simplify]: Simplify 0 into 0 11.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.854 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 11.856 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI (sqrt 1/2)))))) into 0 11.857 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* PI (sqrt 1/2))) (* 0 0)))) into 0 11.857 * [backup-simplify]: Simplify 0 into 0 11.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.860 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.862 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI (sqrt 1/2)))))) into 0 11.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI (* b (sqrt 1/2))))))) into 0 11.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.865 * [backup-simplify]: Simplify (+ 0 0) into 0 11.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b (* PI (sqrt 1/2))) (/ 0 1)) (* (- (* PI (sqrt 1/2))) (/ (/ 1 b) 1)))) into (/ (* PI (sqrt 1/2)) b) 11.872 * [backup-simplify]: Simplify (+ (* -1 (/ (* PI (sqrt 1/2)) b)) (+ (* 0 (- (* PI (sqrt 1/2)))) (* 0 (* b (* PI (sqrt 1/2)))))) into (- (/ (* PI (sqrt 1/2)) b)) 11.872 * [taylor]: Taking taylor expansion of (- (/ (* PI (sqrt 1/2)) b)) in b 11.872 * [taylor]: Taking taylor expansion of (/ (* PI (sqrt 1/2)) b) in b 11.872 * [taylor]: Taking taylor expansion of (* PI (sqrt 1/2)) in b 11.872 * [taylor]: Taking taylor expansion of PI in b 11.872 * [backup-simplify]: Simplify PI into PI 11.872 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 11.872 * [taylor]: Taking taylor expansion of 1/2 in b 11.872 * [backup-simplify]: Simplify 1/2 into 1/2 11.872 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.873 * [taylor]: Taking taylor expansion of b in b 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [backup-simplify]: Simplify 1 into 1 11.874 * [backup-simplify]: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) 11.876 * [backup-simplify]: Simplify (/ (* PI (sqrt 1/2)) 1) into (* PI (sqrt 1/2)) 11.877 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.879 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.880 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 11.881 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (sqrt 1/2))) into 0 11.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (sqrt 1/2)) (/ 0 1)))) into 0 11.884 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (sqrt 1/2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (sqrt 1/2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.887 * [backup-simplify]: Simplify (- 0) into 0 11.887 * [backup-simplify]: Simplify 0 into 0 11.888 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.890 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 11.890 * [backup-simplify]: Simplify 0 into 0 11.892 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.893 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 11.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI (sqrt 1/2))))))) into 0 11.897 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* PI (sqrt 1/2))) (* 0 0))))) into 0 11.897 * [backup-simplify]: Simplify 0 into 0 11.897 * [backup-simplify]: Simplify 0 into 0 11.897 * * * * [progress]: [ 3 / 4 ] generating series at (2) 11.898 * [backup-simplify]: Simplify (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt 1/2)) into (/ (* PI (pow (sqrt 1/2) 2)) (* a (* (+ a b) b))) 11.898 * [approximate]: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) (* a (* (+ a b) b))) in (a b) around 0 11.898 * [taylor]: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) (* a (* (+ a b) b))) in b 11.898 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt 1/2) 2)) in b 11.898 * [taylor]: Taking taylor expansion of PI in b 11.898 * [backup-simplify]: Simplify PI into PI 11.898 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in b 11.898 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 11.898 * [taylor]: Taking taylor expansion of 1/2 in b 11.898 * [backup-simplify]: Simplify 1/2 into 1/2 11.899 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.899 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 11.899 * [taylor]: Taking taylor expansion of a in b 11.899 * [backup-simplify]: Simplify a into a 11.899 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 11.900 * [taylor]: Taking taylor expansion of (+ a b) in b 11.900 * [taylor]: Taking taylor expansion of a in b 11.900 * [backup-simplify]: Simplify a into a 11.900 * [taylor]: Taking taylor expansion of b in b 11.900 * [backup-simplify]: Simplify 0 into 0 11.900 * [backup-simplify]: Simplify 1 into 1 11.900 * [taylor]: Taking taylor expansion of b in b 11.900 * [backup-simplify]: Simplify 0 into 0 11.900 * [backup-simplify]: Simplify 1 into 1 11.901 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 11.903 * [backup-simplify]: Simplify (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) 11.903 * [backup-simplify]: Simplify (+ a 0) into a 11.903 * [backup-simplify]: Simplify (* a 0) into 0 11.903 * [backup-simplify]: Simplify (* a 0) into 0 11.903 * [backup-simplify]: Simplify (+ 0 1) into 1 11.904 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 11.904 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 11.906 * [backup-simplify]: Simplify (/ (* PI (pow (sqrt 1/2) 2)) (pow a 2)) into (/ (* PI (pow (sqrt 1/2) 2)) (pow a 2)) 11.906 * [taylor]: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) (* a (* (+ a b) b))) in a 11.906 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt 1/2) 2)) in a 11.906 * [taylor]: Taking taylor expansion of PI in a 11.906 * [backup-simplify]: Simplify PI into PI 11.906 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in a 11.906 * [taylor]: Taking taylor expansion of (sqrt 1/2) in a 11.906 * [taylor]: Taking taylor expansion of 1/2 in a 11.906 * [backup-simplify]: Simplify 1/2 into 1/2 11.906 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.907 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 11.907 * [taylor]: Taking taylor expansion of a in a 11.907 * [backup-simplify]: Simplify 0 into 0 11.907 * [backup-simplify]: Simplify 1 into 1 11.907 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 11.907 * [taylor]: Taking taylor expansion of (+ a b) in a 11.907 * [taylor]: Taking taylor expansion of a in a 11.907 * [backup-simplify]: Simplify 0 into 0 11.907 * [backup-simplify]: Simplify 1 into 1 11.907 * [taylor]: Taking taylor expansion of b in a 11.907 * [backup-simplify]: Simplify b into b 11.907 * [taylor]: Taking taylor expansion of b in a 11.907 * [backup-simplify]: Simplify b into b 11.909 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 11.911 * [backup-simplify]: Simplify (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) 11.911 * [backup-simplify]: Simplify (+ 0 b) into b 11.911 * [backup-simplify]: Simplify (* b b) into (pow b 2) 11.911 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 11.911 * [backup-simplify]: Simplify (+ 1 0) into 1 11.911 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 11.911 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 11.913 * [backup-simplify]: Simplify (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) into (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) 11.913 * [taylor]: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) (* a (* (+ a b) b))) in a 11.913 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt 1/2) 2)) in a 11.913 * [taylor]: Taking taylor expansion of PI in a 11.913 * [backup-simplify]: Simplify PI into PI 11.913 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in a 11.913 * [taylor]: Taking taylor expansion of (sqrt 1/2) in a 11.913 * [taylor]: Taking taylor expansion of 1/2 in a 11.913 * [backup-simplify]: Simplify 1/2 into 1/2 11.914 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.915 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 11.915 * [taylor]: Taking taylor expansion of a in a 11.915 * [backup-simplify]: Simplify 0 into 0 11.915 * [backup-simplify]: Simplify 1 into 1 11.915 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 11.915 * [taylor]: Taking taylor expansion of (+ a b) in a 11.915 * [taylor]: Taking taylor expansion of a in a 11.915 * [backup-simplify]: Simplify 0 into 0 11.915 * [backup-simplify]: Simplify 1 into 1 11.915 * [taylor]: Taking taylor expansion of b in a 11.915 * [backup-simplify]: Simplify b into b 11.915 * [taylor]: Taking taylor expansion of b in a 11.915 * [backup-simplify]: Simplify b into b 11.916 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 11.918 * [backup-simplify]: Simplify (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) 11.918 * [backup-simplify]: Simplify (+ 0 b) into b 11.918 * [backup-simplify]: Simplify (* b b) into (pow b 2) 11.918 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 11.918 * [backup-simplify]: Simplify (+ 1 0) into 1 11.918 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 11.918 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 11.920 * [backup-simplify]: Simplify (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) into (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) 11.920 * [taylor]: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) in b 11.920 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt 1/2) 2)) in b 11.920 * [taylor]: Taking taylor expansion of PI in b 11.920 * [backup-simplify]: Simplify PI into PI 11.920 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in b 11.920 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 11.920 * [taylor]: Taking taylor expansion of 1/2 in b 11.920 * [backup-simplify]: Simplify 1/2 into 1/2 11.921 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.922 * [taylor]: Taking taylor expansion of (pow b 2) in b 11.922 * [taylor]: Taking taylor expansion of b in b 11.922 * [backup-simplify]: Simplify 0 into 0 11.922 * [backup-simplify]: Simplify 1 into 1 11.928 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 11.930 * [backup-simplify]: Simplify (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) 11.930 * [backup-simplify]: Simplify (* 1 1) into 1 11.931 * [backup-simplify]: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) 11.932 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 11.933 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 11.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 11.934 * [backup-simplify]: Simplify 0 into 0 11.934 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 11.935 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 11.935 * [backup-simplify]: Simplify (+ 0 0) into 0 11.936 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (* 0 b))) into 0 11.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 b) (* 0 (pow b 2)))) into b 11.937 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) (/ b (pow b 2))))) into (- (/ (* PI (pow (sqrt 1/2) 2)) (pow b 3))) 11.937 * [taylor]: Taking taylor expansion of (- (/ (* PI (pow (sqrt 1/2) 2)) (pow b 3))) in b 11.937 * [taylor]: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) (pow b 3)) in b 11.937 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt 1/2) 2)) in b 11.937 * [taylor]: Taking taylor expansion of PI in b 11.937 * [backup-simplify]: Simplify PI into PI 11.937 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in b 11.937 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 11.937 * [taylor]: Taking taylor expansion of 1/2 in b 11.937 * [backup-simplify]: Simplify 1/2 into 1/2 11.938 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.938 * [taylor]: Taking taylor expansion of (pow b 3) in b 11.938 * [taylor]: Taking taylor expansion of b in b 11.938 * [backup-simplify]: Simplify 0 into 0 11.938 * [backup-simplify]: Simplify 1 into 1 11.939 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 11.940 * [backup-simplify]: Simplify (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) 11.940 * [backup-simplify]: Simplify (* 1 1) into 1 11.940 * [backup-simplify]: Simplify (* 1 1) into 1 11.942 * [backup-simplify]: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) 11.943 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.943 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.944 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 11.944 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 11.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.947 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 11.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 11.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.949 * [backup-simplify]: Simplify (- 0) into 0 11.949 * [backup-simplify]: Simplify 0 into 0 11.950 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.951 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.952 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 11.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.953 * [backup-simplify]: Simplify 0 into 0 11.954 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.954 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.955 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 11.956 * [backup-simplify]: Simplify (+ 0 0) into 0 11.956 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 11.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 b) (* 0 (pow b 2))))) into 0 11.959 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) (/ 0 (pow b 2))) (* (- (/ (* PI (pow (sqrt 1/2) 2)) (pow b 3))) (/ b (pow b 2))))) into (/ (* PI (pow (sqrt 1/2) 2)) (pow b 4)) 11.959 * [taylor]: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) (pow b 4)) in b 11.959 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt 1/2) 2)) in b 11.959 * [taylor]: Taking taylor expansion of PI in b 11.959 * [backup-simplify]: Simplify PI into PI 11.959 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in b 11.959 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 11.959 * [taylor]: Taking taylor expansion of 1/2 in b 11.959 * [backup-simplify]: Simplify 1/2 into 1/2 11.959 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.960 * [taylor]: Taking taylor expansion of (pow b 4) in b 11.960 * [taylor]: Taking taylor expansion of b in b 11.960 * [backup-simplify]: Simplify 0 into 0 11.960 * [backup-simplify]: Simplify 1 into 1 11.961 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 11.962 * [backup-simplify]: Simplify (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) 11.962 * [backup-simplify]: Simplify (* 1 1) into 1 11.963 * [backup-simplify]: Simplify (* 1 1) into 1 11.964 * [backup-simplify]: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) 11.965 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.968 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 11.969 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.969 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 11.971 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 11.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.976 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 11.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 11.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.981 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 11.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.985 * [backup-simplify]: Simplify 0 into 0 11.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.987 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 11.989 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 11.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.994 * [backup-simplify]: Simplify (- 0) into 0 11.994 * [backup-simplify]: Simplify 0 into 0 11.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.996 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 11.998 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 11.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.001 * [backup-simplify]: Simplify 0 into 0 12.001 * [backup-simplify]: Simplify 0 into 0 12.002 * [backup-simplify]: Simplify (* (* (/ (/ PI (* (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) (sqrt 1/2)) (sqrt 1/2)) into (/ (* a (* PI (* b (pow (sqrt 1/2) 2)))) (+ (/ 1 a) (/ 1 b))) 12.002 * [approximate]: Taking taylor expansion of (/ (* a (* PI (* b (pow (sqrt 1/2) 2)))) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 12.002 * [taylor]: Taking taylor expansion of (/ (* a (* PI (* b (pow (sqrt 1/2) 2)))) (+ (/ 1 a) (/ 1 b))) in b 12.002 * [taylor]: Taking taylor expansion of (* a (* PI (* b (pow (sqrt 1/2) 2)))) in b 12.002 * [taylor]: Taking taylor expansion of a in b 12.002 * [backup-simplify]: Simplify a into a 12.002 * [taylor]: Taking taylor expansion of (* PI (* b (pow (sqrt 1/2) 2))) in b 12.002 * [taylor]: Taking taylor expansion of PI in b 12.002 * [backup-simplify]: Simplify PI into PI 12.002 * [taylor]: Taking taylor expansion of (* b (pow (sqrt 1/2) 2)) in b 12.002 * [taylor]: Taking taylor expansion of b in b 12.002 * [backup-simplify]: Simplify 0 into 0 12.002 * [backup-simplify]: Simplify 1 into 1 12.002 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in b 12.002 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 12.002 * [taylor]: Taking taylor expansion of 1/2 in b 12.002 * [backup-simplify]: Simplify 1/2 into 1/2 12.003 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 12.004 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.004 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.004 * [taylor]: Taking taylor expansion of a in b 12.004 * [backup-simplify]: Simplify a into a 12.004 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.004 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.004 * [taylor]: Taking taylor expansion of b in b 12.004 * [backup-simplify]: Simplify 0 into 0 12.004 * [backup-simplify]: Simplify 1 into 1 12.004 * [backup-simplify]: Simplify (/ 1 1) into 1 12.005 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 12.006 * [backup-simplify]: Simplify (* 0 (pow (sqrt 1/2) 2)) into 0 12.007 * [backup-simplify]: Simplify (* PI 0) into 0 12.007 * [backup-simplify]: Simplify (* a 0) into 0 12.007 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 12.010 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (sqrt 1/2) 2))) into (pow (sqrt 1/2) 2) 12.012 * [backup-simplify]: Simplify (+ (* PI (pow (sqrt 1/2) 2)) (* 0 0)) into (* PI (pow (sqrt 1/2) 2)) 12.013 * [backup-simplify]: Simplify (+ (* a (* PI (pow (sqrt 1/2) 2))) (* 0 0)) into (* a (* PI (pow (sqrt 1/2) 2))) 12.013 * [backup-simplify]: Simplify (+ 0 1) into 1 12.014 * [backup-simplify]: Simplify (/ (* a (* PI (pow (sqrt 1/2) 2))) 1) into (* a (* PI (pow (sqrt 1/2) 2))) 12.014 * [taylor]: Taking taylor expansion of (/ (* a (* PI (* b (pow (sqrt 1/2) 2)))) (+ (/ 1 a) (/ 1 b))) in a 12.014 * [taylor]: Taking taylor expansion of (* a (* PI (* b (pow (sqrt 1/2) 2)))) in a 12.015 * [taylor]: Taking taylor expansion of a in a 12.015 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify 1 into 1 12.015 * [taylor]: Taking taylor expansion of (* PI (* b (pow (sqrt 1/2) 2))) in a 12.015 * [taylor]: Taking taylor expansion of PI in a 12.015 * [backup-simplify]: Simplify PI into PI 12.015 * [taylor]: Taking taylor expansion of (* b (pow (sqrt 1/2) 2)) in a 12.015 * [taylor]: Taking taylor expansion of b in a 12.015 * [backup-simplify]: Simplify b into b 12.015 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in a 12.015 * [taylor]: Taking taylor expansion of (sqrt 1/2) in a 12.015 * [taylor]: Taking taylor expansion of 1/2 in a 12.015 * [backup-simplify]: Simplify 1/2 into 1/2 12.015 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 12.015 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.015 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.015 * [taylor]: Taking taylor expansion of a in a 12.015 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify 1 into 1 12.016 * [backup-simplify]: Simplify (/ 1 1) into 1 12.016 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.016 * [taylor]: Taking taylor expansion of b in a 12.016 * [backup-simplify]: Simplify b into b 12.016 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.017 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 12.017 * [backup-simplify]: Simplify (* b (pow (sqrt 1/2) 2)) into (* b (pow (sqrt 1/2) 2)) 12.018 * [backup-simplify]: Simplify (* PI (* b (pow (sqrt 1/2) 2))) into (* b (* PI (pow (sqrt 1/2) 2))) 12.019 * [backup-simplify]: Simplify (* 0 (* b (* PI (pow (sqrt 1/2) 2)))) into 0 12.019 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 12.020 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (pow (sqrt 1/2) 2))) into 0 12.021 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (* b (pow (sqrt 1/2) 2)))) into 0 12.022 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b (* PI (pow (sqrt 1/2) 2))))) into (* PI (* b (pow (sqrt 1/2) 2))) 12.022 * [backup-simplify]: Simplify (+ 1 0) into 1 12.023 * [backup-simplify]: Simplify (/ (* PI (* b (pow (sqrt 1/2) 2))) 1) into (* PI (* b (pow (sqrt 1/2) 2))) 12.023 * [taylor]: Taking taylor expansion of (/ (* a (* PI (* b (pow (sqrt 1/2) 2)))) (+ (/ 1 a) (/ 1 b))) in a 12.023 * [taylor]: Taking taylor expansion of (* a (* PI (* b (pow (sqrt 1/2) 2)))) in a 12.023 * [taylor]: Taking taylor expansion of a in a 12.023 * [backup-simplify]: Simplify 0 into 0 12.023 * [backup-simplify]: Simplify 1 into 1 12.023 * [taylor]: Taking taylor expansion of (* PI (* b (pow (sqrt 1/2) 2))) in a 12.023 * [taylor]: Taking taylor expansion of PI in a 12.023 * [backup-simplify]: Simplify PI into PI 12.023 * [taylor]: Taking taylor expansion of (* b (pow (sqrt 1/2) 2)) in a 12.023 * [taylor]: Taking taylor expansion of b in a 12.023 * [backup-simplify]: Simplify b into b 12.023 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in a 12.023 * [taylor]: Taking taylor expansion of (sqrt 1/2) in a 12.023 * [taylor]: Taking taylor expansion of 1/2 in a 12.023 * [backup-simplify]: Simplify 1/2 into 1/2 12.023 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 12.024 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.024 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.024 * [taylor]: Taking taylor expansion of a in a 12.024 * [backup-simplify]: Simplify 0 into 0 12.024 * [backup-simplify]: Simplify 1 into 1 12.024 * [backup-simplify]: Simplify (/ 1 1) into 1 12.024 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.024 * [taylor]: Taking taylor expansion of b in a 12.024 * [backup-simplify]: Simplify b into b 12.024 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.025 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 12.025 * [backup-simplify]: Simplify (* b (pow (sqrt 1/2) 2)) into (* b (pow (sqrt 1/2) 2)) 12.026 * [backup-simplify]: Simplify (* PI (* b (pow (sqrt 1/2) 2))) into (* b (* PI (pow (sqrt 1/2) 2))) 12.027 * [backup-simplify]: Simplify (* 0 (* b (* PI (pow (sqrt 1/2) 2)))) into 0 12.028 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 12.028 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (pow (sqrt 1/2) 2))) into 0 12.029 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (* b (pow (sqrt 1/2) 2)))) into 0 12.030 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b (* PI (pow (sqrt 1/2) 2))))) into (* PI (* b (pow (sqrt 1/2) 2))) 12.030 * [backup-simplify]: Simplify (+ 1 0) into 1 12.031 * [backup-simplify]: Simplify (/ (* PI (* b (pow (sqrt 1/2) 2))) 1) into (* PI (* b (pow (sqrt 1/2) 2))) 12.031 * [taylor]: Taking taylor expansion of (* PI (* b (pow (sqrt 1/2) 2))) in b 12.031 * [taylor]: Taking taylor expansion of PI in b 12.031 * [backup-simplify]: Simplify PI into PI 12.031 * [taylor]: Taking taylor expansion of (* b (pow (sqrt 1/2) 2)) in b 12.031 * [taylor]: Taking taylor expansion of b in b 12.031 * [backup-simplify]: Simplify 0 into 0 12.031 * [backup-simplify]: Simplify 1 into 1 12.031 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in b 12.031 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 12.031 * [taylor]: Taking taylor expansion of 1/2 in b 12.031 * [backup-simplify]: Simplify 1/2 into 1/2 12.036 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 12.037 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 12.038 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 12.038 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 12.039 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 12.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 12.043 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (sqrt 1/2) 2))) into (pow (sqrt 1/2) 2) 12.044 * [backup-simplify]: Simplify (* 0 (pow (sqrt 1/2) 2)) into 0 12.045 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (pow (sqrt 1/2) 2)) (* 0 0))) into 0 12.046 * [backup-simplify]: Simplify 0 into 0 12.047 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 12.048 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 12.049 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 12.051 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (* b (pow (sqrt 1/2) 2))))) into 0 12.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* b (* PI (pow (sqrt 1/2) 2)))))) into 0 12.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.055 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 12.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (* b (pow (sqrt 1/2) 2))) (/ (/ 1 b) 1)))) into (- (* PI (pow (sqrt 1/2) 2))) 12.057 * [taylor]: Taking taylor expansion of (- (* PI (pow (sqrt 1/2) 2))) in b 12.057 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt 1/2) 2)) in b 12.057 * [taylor]: Taking taylor expansion of PI in b 12.057 * [backup-simplify]: Simplify PI into PI 12.057 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in b 12.057 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 12.057 * [taylor]: Taking taylor expansion of 1/2 in b 12.057 * [backup-simplify]: Simplify 1/2 into 1/2 12.057 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 12.059 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 12.060 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 12.060 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 12.061 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 12.062 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 12.062 * [backup-simplify]: Simplify (- 0) into 0 12.062 * [backup-simplify]: Simplify 0 into 0 12.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 12.064 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 12.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 12.066 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (pow (sqrt 1/2) 2)) (* 0 0)))) into 0 12.066 * [backup-simplify]: Simplify 0 into 0 12.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 12.067 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 12.068 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 12.069 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* b (pow (sqrt 1/2) 2)))))) into 0 12.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* b (* PI (pow (sqrt 1/2) 2))))))) into 0 12.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 12.072 * [backup-simplify]: Simplify (+ 0 0) into 0 12.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (* b (pow (sqrt 1/2) 2))) (/ 0 1)) (* (- (* PI (pow (sqrt 1/2) 2))) (/ (/ 1 b) 1)))) into (/ (* PI (pow (sqrt 1/2) 2)) b) 12.075 * [taylor]: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) b) in b 12.075 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt 1/2) 2)) in b 12.075 * [taylor]: Taking taylor expansion of PI in b 12.075 * [backup-simplify]: Simplify PI into PI 12.075 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in b 12.075 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 12.075 * [taylor]: Taking taylor expansion of 1/2 in b 12.075 * [backup-simplify]: Simplify 1/2 into 1/2 12.075 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 12.076 * [taylor]: Taking taylor expansion of b in b 12.076 * [backup-simplify]: Simplify 0 into 0 12.076 * [backup-simplify]: Simplify 1 into 1 12.077 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 12.078 * [backup-simplify]: Simplify (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) 12.079 * [backup-simplify]: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) 12.080 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 12.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 12.081 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 12.082 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 12.082 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 12.083 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 12.084 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 12.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 12.085 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 12.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.087 * [backup-simplify]: Simplify 0 into 0 12.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 12.089 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 12.090 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 12.090 * [backup-simplify]: Simplify (- 0) into 0 12.090 * [backup-simplify]: Simplify 0 into 0 12.091 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 12.092 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 12.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))))) into 0 12.094 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (pow (sqrt 1/2) 2)) (* 0 0))))) into 0 12.094 * [backup-simplify]: Simplify 0 into 0 12.094 * [backup-simplify]: Simplify 0 into 0 12.095 * [backup-simplify]: Simplify (* (* (/ (/ PI (* (/ 1 (- a)) (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) (sqrt 1/2)) (sqrt 1/2)) into (* -1 (/ (* a (* PI (* b (pow (sqrt 1/2) 2)))) (+ (/ 1 a) (/ 1 b)))) 12.095 * [approximate]: Taking taylor expansion of (* -1 (/ (* a (* PI (* b (pow (sqrt 1/2) 2)))) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 12.095 * [taylor]: Taking taylor expansion of (* -1 (/ (* a (* PI (* b (pow (sqrt 1/2) 2)))) (+ (/ 1 a) (/ 1 b)))) in b 12.095 * [taylor]: Taking taylor expansion of -1 in b 12.095 * [backup-simplify]: Simplify -1 into -1 12.095 * [taylor]: Taking taylor expansion of (/ (* a (* PI (* b (pow (sqrt 1/2) 2)))) (+ (/ 1 a) (/ 1 b))) in b 12.095 * [taylor]: Taking taylor expansion of (* a (* PI (* b (pow (sqrt 1/2) 2)))) in b 12.095 * [taylor]: Taking taylor expansion of a in b 12.095 * [backup-simplify]: Simplify a into a 12.095 * [taylor]: Taking taylor expansion of (* PI (* b (pow (sqrt 1/2) 2))) in b 12.095 * [taylor]: Taking taylor expansion of PI in b 12.095 * [backup-simplify]: Simplify PI into PI 12.095 * [taylor]: Taking taylor expansion of (* b (pow (sqrt 1/2) 2)) in b 12.095 * [taylor]: Taking taylor expansion of b in b 12.095 * [backup-simplify]: Simplify 0 into 0 12.095 * [backup-simplify]: Simplify 1 into 1 12.095 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in b 12.095 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 12.095 * [taylor]: Taking taylor expansion of 1/2 in b 12.095 * [backup-simplify]: Simplify 1/2 into 1/2 12.095 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 12.096 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.096 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.096 * [taylor]: Taking taylor expansion of a in b 12.096 * [backup-simplify]: Simplify a into a 12.096 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.096 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.096 * [taylor]: Taking taylor expansion of b in b 12.096 * [backup-simplify]: Simplify 0 into 0 12.096 * [backup-simplify]: Simplify 1 into 1 12.096 * [backup-simplify]: Simplify (/ 1 1) into 1 12.097 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 12.098 * [backup-simplify]: Simplify (* 0 (pow (sqrt 1/2) 2)) into 0 12.098 * [backup-simplify]: Simplify (* PI 0) into 0 12.098 * [backup-simplify]: Simplify (* a 0) into 0 12.099 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 12.102 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (sqrt 1/2) 2))) into (pow (sqrt 1/2) 2) 12.105 * [backup-simplify]: Simplify (+ (* PI (pow (sqrt 1/2) 2)) (* 0 0)) into (* PI (pow (sqrt 1/2) 2)) 12.107 * [backup-simplify]: Simplify (+ (* a (* PI (pow (sqrt 1/2) 2))) (* 0 0)) into (* a (* PI (pow (sqrt 1/2) 2))) 12.107 * [backup-simplify]: Simplify (+ 0 1) into 1 12.109 * [backup-simplify]: Simplify (/ (* a (* PI (pow (sqrt 1/2) 2))) 1) into (* a (* PI (pow (sqrt 1/2) 2))) 12.109 * [taylor]: Taking taylor expansion of (* -1 (/ (* a (* PI (* b (pow (sqrt 1/2) 2)))) (+ (/ 1 a) (/ 1 b)))) in a 12.109 * [taylor]: Taking taylor expansion of -1 in a 12.109 * [backup-simplify]: Simplify -1 into -1 12.109 * [taylor]: Taking taylor expansion of (/ (* a (* PI (* b (pow (sqrt 1/2) 2)))) (+ (/ 1 a) (/ 1 b))) in a 12.109 * [taylor]: Taking taylor expansion of (* a (* PI (* b (pow (sqrt 1/2) 2)))) in a 12.109 * [taylor]: Taking taylor expansion of a in a 12.109 * [backup-simplify]: Simplify 0 into 0 12.109 * [backup-simplify]: Simplify 1 into 1 12.109 * [taylor]: Taking taylor expansion of (* PI (* b (pow (sqrt 1/2) 2))) in a 12.110 * [taylor]: Taking taylor expansion of PI in a 12.110 * [backup-simplify]: Simplify PI into PI 12.110 * [taylor]: Taking taylor expansion of (* b (pow (sqrt 1/2) 2)) in a 12.110 * [taylor]: Taking taylor expansion of b in a 12.110 * [backup-simplify]: Simplify b into b 12.110 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in a 12.110 * [taylor]: Taking taylor expansion of (sqrt 1/2) in a 12.110 * [taylor]: Taking taylor expansion of 1/2 in a 12.110 * [backup-simplify]: Simplify 1/2 into 1/2 12.110 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 12.111 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.111 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.111 * [taylor]: Taking taylor expansion of a in a 12.111 * [backup-simplify]: Simplify 0 into 0 12.111 * [backup-simplify]: Simplify 1 into 1 12.112 * [backup-simplify]: Simplify (/ 1 1) into 1 12.112 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.112 * [taylor]: Taking taylor expansion of b in a 12.112 * [backup-simplify]: Simplify b into b 12.112 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.113 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 12.114 * [backup-simplify]: Simplify (* b (pow (sqrt 1/2) 2)) into (* b (pow (sqrt 1/2) 2)) 12.115 * [backup-simplify]: Simplify (* PI (* b (pow (sqrt 1/2) 2))) into (* b (* PI (pow (sqrt 1/2) 2))) 12.117 * [backup-simplify]: Simplify (* 0 (* b (* PI (pow (sqrt 1/2) 2)))) into 0 12.117 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 12.118 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (pow (sqrt 1/2) 2))) into 0 12.120 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (* b (pow (sqrt 1/2) 2)))) into 0 12.122 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b (* PI (pow (sqrt 1/2) 2))))) into (* PI (* b (pow (sqrt 1/2) 2))) 12.122 * [backup-simplify]: Simplify (+ 1 0) into 1 12.123 * [backup-simplify]: Simplify (/ (* PI (* b (pow (sqrt 1/2) 2))) 1) into (* PI (* b (pow (sqrt 1/2) 2))) 12.123 * [taylor]: Taking taylor expansion of (* -1 (/ (* a (* PI (* b (pow (sqrt 1/2) 2)))) (+ (/ 1 a) (/ 1 b)))) in a 12.123 * [taylor]: Taking taylor expansion of -1 in a 12.123 * [backup-simplify]: Simplify -1 into -1 12.123 * [taylor]: Taking taylor expansion of (/ (* a (* PI (* b (pow (sqrt 1/2) 2)))) (+ (/ 1 a) (/ 1 b))) in a 12.123 * [taylor]: Taking taylor expansion of (* a (* PI (* b (pow (sqrt 1/2) 2)))) in a 12.123 * [taylor]: Taking taylor expansion of a in a 12.123 * [backup-simplify]: Simplify 0 into 0 12.123 * [backup-simplify]: Simplify 1 into 1 12.123 * [taylor]: Taking taylor expansion of (* PI (* b (pow (sqrt 1/2) 2))) in a 12.123 * [taylor]: Taking taylor expansion of PI in a 12.123 * [backup-simplify]: Simplify PI into PI 12.123 * [taylor]: Taking taylor expansion of (* b (pow (sqrt 1/2) 2)) in a 12.123 * [taylor]: Taking taylor expansion of b in a 12.123 * [backup-simplify]: Simplify b into b 12.124 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in a 12.124 * [taylor]: Taking taylor expansion of (sqrt 1/2) in a 12.124 * [taylor]: Taking taylor expansion of 1/2 in a 12.124 * [backup-simplify]: Simplify 1/2 into 1/2 12.124 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 12.125 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.125 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.125 * [taylor]: Taking taylor expansion of a in a 12.125 * [backup-simplify]: Simplify 0 into 0 12.125 * [backup-simplify]: Simplify 1 into 1 12.125 * [backup-simplify]: Simplify (/ 1 1) into 1 12.125 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.125 * [taylor]: Taking taylor expansion of b in a 12.125 * [backup-simplify]: Simplify b into b 12.125 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.127 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 12.127 * [backup-simplify]: Simplify (* b (pow (sqrt 1/2) 2)) into (* b (pow (sqrt 1/2) 2)) 12.128 * [backup-simplify]: Simplify (* PI (* b (pow (sqrt 1/2) 2))) into (* b (* PI (pow (sqrt 1/2) 2))) 12.130 * [backup-simplify]: Simplify (* 0 (* b (* PI (pow (sqrt 1/2) 2)))) into 0 12.131 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 12.132 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (pow (sqrt 1/2) 2))) into 0 12.133 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (* b (pow (sqrt 1/2) 2)))) into 0 12.135 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b (* PI (pow (sqrt 1/2) 2))))) into (* PI (* b (pow (sqrt 1/2) 2))) 12.136 * [backup-simplify]: Simplify (+ 1 0) into 1 12.137 * [backup-simplify]: Simplify (/ (* PI (* b (pow (sqrt 1/2) 2))) 1) into (* PI (* b (pow (sqrt 1/2) 2))) 12.138 * [backup-simplify]: Simplify (* -1 (* PI (* b (pow (sqrt 1/2) 2)))) into (* -1 (* PI (* b (pow (sqrt 1/2) 2)))) 12.138 * [taylor]: Taking taylor expansion of (* -1 (* PI (* b (pow (sqrt 1/2) 2)))) in b 12.138 * [taylor]: Taking taylor expansion of -1 in b 12.138 * [backup-simplify]: Simplify -1 into -1 12.138 * [taylor]: Taking taylor expansion of (* PI (* b (pow (sqrt 1/2) 2))) in b 12.138 * [taylor]: Taking taylor expansion of PI in b 12.138 * [backup-simplify]: Simplify PI into PI 12.138 * [taylor]: Taking taylor expansion of (* b (pow (sqrt 1/2) 2)) in b 12.138 * [taylor]: Taking taylor expansion of b in b 12.138 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify 1 into 1 12.138 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in b 12.138 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 12.138 * [taylor]: Taking taylor expansion of 1/2 in b 12.138 * [backup-simplify]: Simplify 1/2 into 1/2 12.139 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 12.141 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 12.142 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 12.142 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 12.144 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 12.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 12.156 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (sqrt 1/2) 2))) into (pow (sqrt 1/2) 2) 12.156 * [backup-simplify]: Simplify (* 0 (pow (sqrt 1/2) 2)) into 0 12.158 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (pow (sqrt 1/2) 2)) (* 0 0))) into 0 12.161 * [backup-simplify]: Simplify (+ (* PI (pow (sqrt 1/2) 2)) (* 0 0)) into (* PI (pow (sqrt 1/2) 2)) 12.161 * [backup-simplify]: Simplify (* PI 0) into 0 12.162 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* PI (pow (sqrt 1/2) 2))) (* 0 0))) into 0 12.162 * [backup-simplify]: Simplify 0 into 0 12.163 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 12.164 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 12.164 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 12.166 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (* b (pow (sqrt 1/2) 2))))) into 0 12.168 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* b (* PI (pow (sqrt 1/2) 2)))))) into 0 12.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.168 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 12.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (* b (pow (sqrt 1/2) 2))) (/ (/ 1 b) 1)))) into (- (* PI (pow (sqrt 1/2) 2))) 12.172 * [backup-simplify]: Simplify (+ (* -1 (- (* PI (pow (sqrt 1/2) 2)))) (* 0 (* PI (* b (pow (sqrt 1/2) 2))))) into (* PI (pow (sqrt 1/2) 2)) 12.173 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt 1/2) 2)) in b 12.173 * [taylor]: Taking taylor expansion of PI in b 12.173 * [backup-simplify]: Simplify PI into PI 12.173 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in b 12.173 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 12.173 * [taylor]: Taking taylor expansion of 1/2 in b 12.173 * [backup-simplify]: Simplify 1/2 into 1/2 12.173 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 12.174 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 12.175 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 12.175 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 12.176 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 12.177 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 12.177 * [backup-simplify]: Simplify 0 into 0 12.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 12.178 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 12.179 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 12.180 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (pow (sqrt 1/2) 2)) (* 0 0)))) into 0 12.181 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* PI (pow (sqrt 1/2) 2))) (* 0 0)))) into 0 12.181 * [backup-simplify]: Simplify 0 into 0 12.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 12.183 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 12.183 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 12.185 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* b (pow (sqrt 1/2) 2)))))) into 0 12.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* b (* PI (pow (sqrt 1/2) 2))))))) into 0 12.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 12.187 * [backup-simplify]: Simplify (+ 0 0) into 0 12.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (* b (pow (sqrt 1/2) 2))) (/ 0 1)) (* (- (* PI (pow (sqrt 1/2) 2))) (/ (/ 1 b) 1)))) into (/ (* PI (pow (sqrt 1/2) 2)) b) 12.193 * [backup-simplify]: Simplify (+ (* -1 (/ (* PI (pow (sqrt 1/2) 2)) b)) (+ (* 0 (- (* PI (pow (sqrt 1/2) 2)))) (* 0 (* PI (* b (pow (sqrt 1/2) 2)))))) into (- (/ (* PI (pow (sqrt 1/2) 2)) b)) 12.193 * [taylor]: Taking taylor expansion of (- (/ (* PI (pow (sqrt 1/2) 2)) b)) in b 12.193 * [taylor]: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) b) in b 12.193 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt 1/2) 2)) in b 12.193 * [taylor]: Taking taylor expansion of PI in b 12.193 * [backup-simplify]: Simplify PI into PI 12.193 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in b 12.193 * [taylor]: Taking taylor expansion of (sqrt 1/2) in b 12.193 * [taylor]: Taking taylor expansion of 1/2 in b 12.193 * [backup-simplify]: Simplify 1/2 into 1/2 12.193 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 12.194 * [taylor]: Taking taylor expansion of b in b 12.194 * [backup-simplify]: Simplify 0 into 0 12.194 * [backup-simplify]: Simplify 1 into 1 12.196 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 12.197 * [backup-simplify]: Simplify (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) 12.200 * [backup-simplify]: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) 12.201 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 12.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 12.204 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 12.205 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 12.206 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 12.208 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 12.209 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 12.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 12.212 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 12.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.216 * [backup-simplify]: Simplify (- 0) into 0 12.217 * [backup-simplify]: Simplify 0 into 0 12.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 12.219 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 12.221 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 12.221 * [backup-simplify]: Simplify 0 into 0 12.223 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 12.225 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 12.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))))) into 0 12.229 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (pow (sqrt 1/2) 2)) (* 0 0))))) into 0 12.231 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* PI (pow (sqrt 1/2) 2))) (* 0 0))))) into 0 12.231 * [backup-simplify]: Simplify 0 into 0 12.231 * [backup-simplify]: Simplify 0 into 0 12.231 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 12.231 * [backup-simplify]: Simplify (/ (/ PI (* a b)) (+ a b)) into (/ PI (* a (* (+ a b) b))) 12.231 * [approximate]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in (a b) around 0 12.232 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in b 12.232 * [taylor]: Taking taylor expansion of PI in b 12.232 * [backup-simplify]: Simplify PI into PI 12.232 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 12.232 * [taylor]: Taking taylor expansion of a in b 12.232 * [backup-simplify]: Simplify a into a 12.232 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 12.232 * [taylor]: Taking taylor expansion of (+ a b) in b 12.232 * [taylor]: Taking taylor expansion of a in b 12.232 * [backup-simplify]: Simplify a into a 12.232 * [taylor]: Taking taylor expansion of b in b 12.232 * [backup-simplify]: Simplify 0 into 0 12.232 * [backup-simplify]: Simplify 1 into 1 12.232 * [taylor]: Taking taylor expansion of b in b 12.232 * [backup-simplify]: Simplify 0 into 0 12.232 * [backup-simplify]: Simplify 1 into 1 12.232 * [backup-simplify]: Simplify (+ a 0) into a 12.232 * [backup-simplify]: Simplify (* a 0) into 0 12.232 * [backup-simplify]: Simplify (* a 0) into 0 12.233 * [backup-simplify]: Simplify (+ 0 1) into 1 12.233 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 12.234 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 12.234 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 12.234 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in a 12.234 * [taylor]: Taking taylor expansion of PI in a 12.234 * [backup-simplify]: Simplify PI into PI 12.234 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 12.234 * [taylor]: Taking taylor expansion of a in a 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify 1 into 1 12.234 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 12.234 * [taylor]: Taking taylor expansion of (+ a b) in a 12.234 * [taylor]: Taking taylor expansion of a in a 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify 1 into 1 12.234 * [taylor]: Taking taylor expansion of b in a 12.234 * [backup-simplify]: Simplify b into b 12.234 * [taylor]: Taking taylor expansion of b in a 12.234 * [backup-simplify]: Simplify b into b 12.234 * [backup-simplify]: Simplify (+ 0 b) into b 12.234 * [backup-simplify]: Simplify (* b b) into (pow b 2) 12.234 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 12.235 * [backup-simplify]: Simplify (+ 1 0) into 1 12.235 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 12.235 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 12.235 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 12.235 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in a 12.235 * [taylor]: Taking taylor expansion of PI in a 12.235 * [backup-simplify]: Simplify PI into PI 12.235 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 12.235 * [taylor]: Taking taylor expansion of a in a 12.235 * [backup-simplify]: Simplify 0 into 0 12.235 * [backup-simplify]: Simplify 1 into 1 12.235 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 12.235 * [taylor]: Taking taylor expansion of (+ a b) in a 12.235 * [taylor]: Taking taylor expansion of a in a 12.236 * [backup-simplify]: Simplify 0 into 0 12.236 * [backup-simplify]: Simplify 1 into 1 12.236 * [taylor]: Taking taylor expansion of b in a 12.236 * [backup-simplify]: Simplify b into b 12.236 * [taylor]: Taking taylor expansion of b in a 12.236 * [backup-simplify]: Simplify b into b 12.236 * [backup-simplify]: Simplify (+ 0 b) into b 12.236 * [backup-simplify]: Simplify (* b b) into (pow b 2) 12.236 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 12.236 * [backup-simplify]: Simplify (+ 1 0) into 1 12.236 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 12.237 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 12.237 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 12.237 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 12.237 * [taylor]: Taking taylor expansion of PI in b 12.237 * [backup-simplify]: Simplify PI into PI 12.237 * [taylor]: Taking taylor expansion of (pow b 2) in b 12.237 * [taylor]: Taking taylor expansion of b in b 12.237 * [backup-simplify]: Simplify 0 into 0 12.237 * [backup-simplify]: Simplify 1 into 1 12.237 * [backup-simplify]: Simplify (* 1 1) into 1 12.238 * [backup-simplify]: Simplify (/ PI 1) into PI 12.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.240 * [backup-simplify]: Simplify 0 into 0 12.240 * [backup-simplify]: Simplify (+ 0 0) into 0 12.240 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (* 0 b))) into 0 12.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 b) (* 0 (pow b 2)))) into b 12.241 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 12.241 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 3))) in b 12.241 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 12.241 * [taylor]: Taking taylor expansion of PI in b 12.241 * [backup-simplify]: Simplify PI into PI 12.241 * [taylor]: Taking taylor expansion of (pow b 3) in b 12.241 * [taylor]: Taking taylor expansion of b in b 12.241 * [backup-simplify]: Simplify 0 into 0 12.242 * [backup-simplify]: Simplify 1 into 1 12.242 * [backup-simplify]: Simplify (* 1 1) into 1 12.242 * [backup-simplify]: Simplify (* 1 1) into 1 12.243 * [backup-simplify]: Simplify (/ PI 1) into PI 12.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.247 * [backup-simplify]: Simplify (- 0) into 0 12.247 * [backup-simplify]: Simplify 0 into 0 12.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.248 * [backup-simplify]: Simplify 0 into 0 12.248 * [backup-simplify]: Simplify (+ 0 0) into 0 12.249 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 12.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 b) (* 0 (pow b 2))))) into 0 12.250 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))) (* (- (/ PI (pow b 3))) (/ b (pow b 2))))) into (/ PI (pow b 4)) 12.250 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 12.250 * [taylor]: Taking taylor expansion of PI in b 12.250 * [backup-simplify]: Simplify PI into PI 12.250 * [taylor]: Taking taylor expansion of (pow b 4) in b 12.250 * [taylor]: Taking taylor expansion of b in b 12.250 * [backup-simplify]: Simplify 0 into 0 12.250 * [backup-simplify]: Simplify 1 into 1 12.250 * [backup-simplify]: Simplify (* 1 1) into 1 12.250 * [backup-simplify]: Simplify (* 1 1) into 1 12.251 * [backup-simplify]: Simplify (/ PI 1) into PI 12.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.255 * [backup-simplify]: Simplify 0 into 0 12.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.258 * [backup-simplify]: Simplify (- 0) into 0 12.258 * [backup-simplify]: Simplify 0 into 0 12.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.259 * [backup-simplify]: Simplify 0 into 0 12.259 * [backup-simplify]: Simplify 0 into 0 12.259 * [backup-simplify]: Simplify (/ (/ PI (* (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) into (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) 12.259 * [approximate]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 12.259 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in b 12.259 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 12.259 * [taylor]: Taking taylor expansion of a in b 12.259 * [backup-simplify]: Simplify a into a 12.259 * [taylor]: Taking taylor expansion of (* PI b) in b 12.259 * [taylor]: Taking taylor expansion of PI in b 12.259 * [backup-simplify]: Simplify PI into PI 12.259 * [taylor]: Taking taylor expansion of b in b 12.259 * [backup-simplify]: Simplify 0 into 0 12.259 * [backup-simplify]: Simplify 1 into 1 12.259 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.259 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.259 * [taylor]: Taking taylor expansion of a in b 12.259 * [backup-simplify]: Simplify a into a 12.259 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.259 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.259 * [taylor]: Taking taylor expansion of b in b 12.259 * [backup-simplify]: Simplify 0 into 0 12.259 * [backup-simplify]: Simplify 1 into 1 12.260 * [backup-simplify]: Simplify (/ 1 1) into 1 12.260 * [backup-simplify]: Simplify (* PI 0) into 0 12.260 * [backup-simplify]: Simplify (* a 0) into 0 12.261 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 12.261 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 12.261 * [backup-simplify]: Simplify (+ 0 1) into 1 12.261 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 12.261 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 12.261 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 12.262 * [taylor]: Taking taylor expansion of a in a 12.262 * [backup-simplify]: Simplify 0 into 0 12.262 * [backup-simplify]: Simplify 1 into 1 12.262 * [taylor]: Taking taylor expansion of (* PI b) in a 12.262 * [taylor]: Taking taylor expansion of PI in a 12.262 * [backup-simplify]: Simplify PI into PI 12.262 * [taylor]: Taking taylor expansion of b in a 12.262 * [backup-simplify]: Simplify b into b 12.262 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.262 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.262 * [taylor]: Taking taylor expansion of a in a 12.262 * [backup-simplify]: Simplify 0 into 0 12.262 * [backup-simplify]: Simplify 1 into 1 12.262 * [backup-simplify]: Simplify (/ 1 1) into 1 12.262 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.262 * [taylor]: Taking taylor expansion of b in a 12.262 * [backup-simplify]: Simplify b into b 12.262 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.262 * [backup-simplify]: Simplify (* PI b) into (* b PI) 12.262 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 12.262 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 12.263 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 12.263 * [backup-simplify]: Simplify (+ 1 0) into 1 12.263 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 12.263 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 12.263 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 12.263 * [taylor]: Taking taylor expansion of a in a 12.263 * [backup-simplify]: Simplify 0 into 0 12.263 * [backup-simplify]: Simplify 1 into 1 12.263 * [taylor]: Taking taylor expansion of (* PI b) in a 12.263 * [taylor]: Taking taylor expansion of PI in a 12.263 * [backup-simplify]: Simplify PI into PI 12.263 * [taylor]: Taking taylor expansion of b in a 12.263 * [backup-simplify]: Simplify b into b 12.263 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.263 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.263 * [taylor]: Taking taylor expansion of a in a 12.263 * [backup-simplify]: Simplify 0 into 0 12.263 * [backup-simplify]: Simplify 1 into 1 12.264 * [backup-simplify]: Simplify (/ 1 1) into 1 12.264 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.264 * [taylor]: Taking taylor expansion of b in a 12.264 * [backup-simplify]: Simplify b into b 12.264 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.264 * [backup-simplify]: Simplify (* PI b) into (* b PI) 12.264 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 12.264 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 12.264 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 12.265 * [backup-simplify]: Simplify (+ 1 0) into 1 12.265 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 12.265 * [taylor]: Taking taylor expansion of (* PI b) in b 12.265 * [taylor]: Taking taylor expansion of PI in b 12.265 * [backup-simplify]: Simplify PI into PI 12.265 * [taylor]: Taking taylor expansion of b in b 12.265 * [backup-simplify]: Simplify 0 into 0 12.265 * [backup-simplify]: Simplify 1 into 1 12.265 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 12.266 * [backup-simplify]: Simplify 0 into 0 12.266 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 12.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* b PI)))) into 0 12.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.268 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 12.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 12.268 * [taylor]: Taking taylor expansion of (- PI) in b 12.268 * [taylor]: Taking taylor expansion of PI in b 12.268 * [backup-simplify]: Simplify PI into PI 12.268 * [backup-simplify]: Simplify (- 0) into 0 12.268 * [backup-simplify]: Simplify 0 into 0 12.269 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.269 * [backup-simplify]: Simplify 0 into 0 12.274 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 12.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* b PI))))) into 0 12.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 12.276 * [backup-simplify]: Simplify (+ 0 0) into 0 12.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 12.277 * [taylor]: Taking taylor expansion of (/ PI b) in b 12.277 * [taylor]: Taking taylor expansion of PI in b 12.278 * [backup-simplify]: Simplify PI into PI 12.278 * [taylor]: Taking taylor expansion of b in b 12.278 * [backup-simplify]: Simplify 0 into 0 12.278 * [backup-simplify]: Simplify 1 into 1 12.278 * [backup-simplify]: Simplify (/ PI 1) into PI 12.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.281 * [backup-simplify]: Simplify 0 into 0 12.282 * [backup-simplify]: Simplify (- 0) into 0 12.282 * [backup-simplify]: Simplify 0 into 0 12.283 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.283 * [backup-simplify]: Simplify 0 into 0 12.283 * [backup-simplify]: Simplify 0 into 0 12.284 * [backup-simplify]: Simplify (/ (/ PI (* (/ 1 (- a)) (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) 12.284 * [approximate]: Taking taylor expansion of (* -1 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 12.284 * [taylor]: Taking taylor expansion of (* -1 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in b 12.284 * [taylor]: Taking taylor expansion of -1 in b 12.284 * [backup-simplify]: Simplify -1 into -1 12.284 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in b 12.284 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 12.284 * [taylor]: Taking taylor expansion of a in b 12.284 * [backup-simplify]: Simplify a into a 12.284 * [taylor]: Taking taylor expansion of (* PI b) in b 12.284 * [taylor]: Taking taylor expansion of PI in b 12.284 * [backup-simplify]: Simplify PI into PI 12.284 * [taylor]: Taking taylor expansion of b in b 12.284 * [backup-simplify]: Simplify 0 into 0 12.284 * [backup-simplify]: Simplify 1 into 1 12.284 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.284 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.284 * [taylor]: Taking taylor expansion of a in b 12.284 * [backup-simplify]: Simplify a into a 12.284 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.284 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.284 * [taylor]: Taking taylor expansion of b in b 12.284 * [backup-simplify]: Simplify 0 into 0 12.284 * [backup-simplify]: Simplify 1 into 1 12.285 * [backup-simplify]: Simplify (/ 1 1) into 1 12.285 * [backup-simplify]: Simplify (* PI 0) into 0 12.285 * [backup-simplify]: Simplify (* a 0) into 0 12.287 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 12.287 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 12.288 * [backup-simplify]: Simplify (+ 0 1) into 1 12.288 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 12.288 * [taylor]: Taking taylor expansion of (* -1 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in a 12.288 * [taylor]: Taking taylor expansion of -1 in a 12.288 * [backup-simplify]: Simplify -1 into -1 12.288 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 12.288 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 12.288 * [taylor]: Taking taylor expansion of a in a 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify 1 into 1 12.288 * [taylor]: Taking taylor expansion of (* PI b) in a 12.288 * [taylor]: Taking taylor expansion of PI in a 12.288 * [backup-simplify]: Simplify PI into PI 12.288 * [taylor]: Taking taylor expansion of b in a 12.288 * [backup-simplify]: Simplify b into b 12.288 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.288 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.288 * [taylor]: Taking taylor expansion of a in a 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 1 into 1 12.289 * [backup-simplify]: Simplify (/ 1 1) into 1 12.289 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.289 * [taylor]: Taking taylor expansion of b in a 12.289 * [backup-simplify]: Simplify b into b 12.289 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.289 * [backup-simplify]: Simplify (* PI b) into (* b PI) 12.289 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 12.290 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 12.290 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 12.291 * [backup-simplify]: Simplify (+ 1 0) into 1 12.291 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 12.291 * [taylor]: Taking taylor expansion of (* -1 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in a 12.291 * [taylor]: Taking taylor expansion of -1 in a 12.291 * [backup-simplify]: Simplify -1 into -1 12.291 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 12.291 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 12.291 * [taylor]: Taking taylor expansion of a in a 12.291 * [backup-simplify]: Simplify 0 into 0 12.291 * [backup-simplify]: Simplify 1 into 1 12.291 * [taylor]: Taking taylor expansion of (* PI b) in a 12.291 * [taylor]: Taking taylor expansion of PI in a 12.291 * [backup-simplify]: Simplify PI into PI 12.291 * [taylor]: Taking taylor expansion of b in a 12.291 * [backup-simplify]: Simplify b into b 12.291 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.291 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.291 * [taylor]: Taking taylor expansion of a in a 12.291 * [backup-simplify]: Simplify 0 into 0 12.291 * [backup-simplify]: Simplify 1 into 1 12.292 * [backup-simplify]: Simplify (/ 1 1) into 1 12.292 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.292 * [taylor]: Taking taylor expansion of b in a 12.292 * [backup-simplify]: Simplify b into b 12.292 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.292 * [backup-simplify]: Simplify (* PI b) into (* b PI) 12.292 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 12.292 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 12.293 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 12.293 * [backup-simplify]: Simplify (+ 1 0) into 1 12.293 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 12.294 * [backup-simplify]: Simplify (* -1 (* PI b)) into (* -1 (* PI b)) 12.294 * [taylor]: Taking taylor expansion of (* -1 (* PI b)) in b 12.294 * [taylor]: Taking taylor expansion of -1 in b 12.294 * [backup-simplify]: Simplify -1 into -1 12.294 * [taylor]: Taking taylor expansion of (* PI b) in b 12.294 * [taylor]: Taking taylor expansion of PI in b 12.294 * [backup-simplify]: Simplify PI into PI 12.294 * [taylor]: Taking taylor expansion of b in b 12.294 * [backup-simplify]: Simplify 0 into 0 12.294 * [backup-simplify]: Simplify 1 into 1 12.295 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 12.296 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 12.297 * [backup-simplify]: Simplify (* PI 0) into 0 12.298 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 12.298 * [backup-simplify]: Simplify 0 into 0 12.299 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 12.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* b PI)))) into 0 12.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.300 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 12.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 12.302 * [backup-simplify]: Simplify (+ (* -1 (- PI)) (* 0 (* PI b))) into PI 12.302 * [taylor]: Taking taylor expansion of PI in b 12.302 * [backup-simplify]: Simplify PI into PI 12.302 * [backup-simplify]: Simplify 0 into 0 12.303 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.305 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.305 * [backup-simplify]: Simplify 0 into 0 12.305 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 12.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* b PI))))) into 0 12.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 12.307 * [backup-simplify]: Simplify (+ 0 0) into 0 12.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 12.308 * [backup-simplify]: Simplify (+ (* -1 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (/ PI b)) 12.308 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 12.308 * [taylor]: Taking taylor expansion of (/ PI b) in b 12.308 * [taylor]: Taking taylor expansion of PI in b 12.308 * [backup-simplify]: Simplify PI into PI 12.308 * [taylor]: Taking taylor expansion of b in b 12.308 * [backup-simplify]: Simplify 0 into 0 12.308 * [backup-simplify]: Simplify 1 into 1 12.309 * [backup-simplify]: Simplify (/ PI 1) into PI 12.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.311 * [backup-simplify]: Simplify (- 0) into 0 12.311 * [backup-simplify]: Simplify 0 into 0 12.311 * [backup-simplify]: Simplify 0 into 0 12.312 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.312 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.312 * [backup-simplify]: Simplify 0 into 0 12.312 * [backup-simplify]: Simplify 0 into 0 12.312 * * * [progress]: simplifying candidates 12.312 * * * * [progress]: [ 1 / 185 ] simplifiying candidate # 12.313 * * * * [progress]: [ 2 / 185 ] simplifiying candidate # 12.313 * * * * [progress]: [ 3 / 185 ] simplifiying candidate # 12.313 * * * * [progress]: [ 4 / 185 ] simplifiying candidate # 12.313 * * * * [progress]: [ 5 / 185 ] simplifiying candidate # 12.313 * * * * [progress]: [ 6 / 185 ] simplifiying candidate # 12.313 * * * * [progress]: [ 7 / 185 ] simplifiying candidate # 12.313 * * * * [progress]: [ 8 / 185 ] simplifiying candidate # 12.313 * * * * [progress]: [ 9 / 185 ] simplifiying candidate # 12.313 * * * * [progress]: [ 10 / 185 ] simplifiying candidate # 12.313 * * * * [progress]: [ 11 / 185 ] simplifiying candidate # 12.313 * * * * [progress]: [ 12 / 185 ] simplifiying candidate # 12.313 * * * * [progress]: [ 13 / 185 ] simplifiying candidate # 12.313 * * * * [progress]: [ 14 / 185 ] simplifiying candidate # 12.313 * * * * 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185 ] simplifiying candidate # 12.314 * * * * [progress]: [ 30 / 185 ] simplifiying candidate # 12.314 * * * * [progress]: [ 31 / 185 ] simplifiying candidate # 12.314 * * * * [progress]: [ 32 / 185 ] simplifiying candidate # 12.314 * * * * [progress]: [ 33 / 185 ] simplifiying candidate # 12.314 * * * * [progress]: [ 34 / 185 ] simplifiying candidate # 12.314 * * * * [progress]: [ 35 / 185 ] simplifiying candidate # 12.314 * * * * [progress]: [ 36 / 185 ] simplifiying candidate # 12.314 * * * * [progress]: [ 37 / 185 ] simplifiying candidate # 12.314 * * * * [progress]: [ 38 / 185 ] simplifiying candidate # 12.314 * * * * [progress]: [ 39 / 185 ] simplifiying candidate # 12.314 * * * * [progress]: [ 40 / 185 ] simplifiying candidate # 12.314 * * * * [progress]: [ 41 / 185 ] simplifiying candidate # 12.314 * * * * [progress]: [ 42 / 185 ] simplifiying candidate # 12.314 * * * * [progress]: [ 43 / 185 ] simplifiying candidate # 12.314 * * * * [progress]: [ 44 / 185 ] simplifiying 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] simplifiying candidate # 12.316 * * * * [progress]: [ 76 / 185 ] simplifiying candidate # 12.316 * * * * [progress]: [ 77 / 185 ] simplifiying candidate # 12.316 * * * * [progress]: [ 78 / 185 ] simplifiying candidate # 12.316 * * * * [progress]: [ 79 / 185 ] simplifiying candidate # 12.316 * * * * [progress]: [ 80 / 185 ] simplifiying candidate # 12.316 * * * * [progress]: [ 81 / 185 ] simplifiying candidate # 12.316 * * * * [progress]: [ 82 / 185 ] simplifiying candidate # 12.316 * * * * [progress]: [ 83 / 185 ] simplifiying candidate # 12.316 * * * * [progress]: [ 84 / 185 ] simplifiying candidate #real (real->posit16 (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)))) (sqrt 1/2)))> 12.316 * * * * [progress]: [ 85 / 185 ] simplifiying candidate # 12.316 * * * * [progress]: [ 86 / 185 ] simplifiying candidate # 12.316 * * * * [progress]: [ 87 / 185 ] simplifiying candidate # 12.316 * * * * [progress]: [ 88 / 185 ] simplifiying candidate # 12.316 * * * * [progress]: [ 89 / 185 ] 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candidate # 12.317 * * * * [progress]: [ 105 / 185 ] simplifiying candidate # 12.317 * * * * [progress]: [ 106 / 185 ] simplifiying candidate # 12.317 * * * * [progress]: [ 107 / 185 ] simplifiying candidate # 12.317 * * * * [progress]: [ 108 / 185 ] simplifiying candidate # 12.317 * * * * [progress]: [ 109 / 185 ] simplifiying candidate # 12.317 * * * * [progress]: [ 110 / 185 ] simplifiying candidate # 12.317 * * * * [progress]: [ 111 / 185 ] simplifiying candidate # 12.317 * * * * [progress]: [ 112 / 185 ] simplifiying candidate # 12.317 * * * * [progress]: [ 113 / 185 ] simplifiying candidate #real (real->posit16 (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt 1/2)))))> 12.317 * * * * [progress]: [ 114 / 185 ] simplifiying candidate # 12.317 * * * * [progress]: [ 115 / 185 ] simplifiying candidate # 12.317 * * * * [progress]: [ 116 / 185 ] simplifiying candidate # 12.317 * * * * [progress]: [ 117 / 185 ] simplifiying candidate # 12.317 * * * * [progress]: [ 118 / 185 ] 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simplifiying candidate # 12.319 * * * * [progress]: [ 164 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 165 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 166 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 167 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 168 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 169 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 170 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 171 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 172 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 173 / 185 ] simplifiying candidate #real (real->posit16 (/ (/ PI (* a b)) (+ a b)))) (sqrt 1/2)) (sqrt 1/2)))> 12.320 * * * * [progress]: [ 174 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 175 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 176 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 177 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 178 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 179 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 180 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 181 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 182 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 183 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 184 / 185 ] simplifiying candidate # 12.320 * * * * [progress]: [ 185 / 185 ] simplifiying candidate # 12.322 * [simplify]: Simplifying: (- (log PI) (+ (log a) (log b))) (- (log PI) (log (* a b))) (log (/ PI (* a b))) (exp (/ PI (* a b))) (/ (* (* PI PI) PI) (* (* (* a a) a) (* (* b b) b))) (/ (* (* PI PI) PI) (* (* (* a b) (* a b)) (* a b))) (* (cbrt (/ PI (* a b))) (cbrt (/ PI (* a b)))) (cbrt (/ PI (* a b))) (* (* (/ PI (* a b)) (/ PI (* a b))) (/ PI (* a b))) (sqrt (/ PI (* a b))) (sqrt (/ PI (* a b))) (- PI) (- (* a b)) (/ (* (cbrt PI) (cbrt PI)) a) (/ (cbrt PI) b) (/ (sqrt PI) a) (/ (sqrt PI) b) (/ 1 a) (/ PI b) (/ 1 (* a b)) (/ (* a b) PI) (/ PI a) (/ (* a b) (cbrt PI)) (/ (* a b) (sqrt PI)) (/ (* a b) PI) (real->posit16 (/ PI (* a b))) (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (+ (- (- (log PI) (+ (log a) (log b))) (log (+ a b))) (log (sqrt 1/2))) (+ (- (- (log PI) (log (* a b))) (log (+ a b))) (log (sqrt 1/2))) (+ (- (log (/ PI (* a b))) (log (+ a b))) (log (sqrt 1/2))) (+ (log (/ (/ PI (* a b)) (+ a b))) (log (sqrt 1/2))) (log (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2))) (exp (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2))) (* (/ (/ (* (* PI PI) PI) (* (* (* a a) a) (* (* b b) b))) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2))) (* (/ (/ (* (* PI PI) PI) (* (* (* a b) (* a b)) (* a b))) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2))) (* (/ (* (* (/ PI (* a b)) (/ PI (* a b))) (/ PI (* a b))) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2))) (* (* (* (/ (/ PI (* a b)) (+ a b)) (/ (/ PI (* a b)) (+ a b))) (/ (/ PI (* a b)) (+ a b))) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2))) (* (cbrt (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2))) (cbrt (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)))) (cbrt (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2))) (* (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2))) (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2))) (sqrt (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2))) (sqrt (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2))) (* (sqrt (/ (/ PI (* a b)) (+ a b))) (sqrt (sqrt 1/2))) (* (sqrt (/ (/ PI (* a b)) (+ a b))) (sqrt (sqrt 1/2))) (* (sqrt (/ (/ PI (* a b)) (+ a b))) (sqrt (sqrt 1/2))) (* (sqrt (/ (/ PI (* a b)) (+ a b))) (sqrt (sqrt 1/2))) (* (/ (sqrt (/ PI (* a b))) (sqrt (+ a b))) (sqrt (sqrt 1/2))) (* (/ (sqrt (/ PI (* a b))) (sqrt (+ a b))) (sqrt (sqrt 1/2))) (* (/ (sqrt (/ PI (* a b))) (sqrt (+ a b))) (sqrt (sqrt 1/2))) (* (/ (sqrt (/ PI (* a b))) (sqrt (+ a b))) (sqrt (sqrt 1/2))) (* (/ (/ PI (* a b)) (+ a b)) (* (cbrt (sqrt 1/2)) (cbrt (sqrt 1/2)))) (* (/ (/ PI (* a b)) (+ a b)) (sqrt (* (cbrt 1/2) (cbrt 1/2)))) (* (/ (/ PI (* a b)) (+ a b)) (sqrt (sqrt 1/2))) (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1)) (* (/ (/ PI (* a b)) (+ a b)) (sqrt (sqrt 1/2))) (* (/ (/ PI (* a b)) (+ a b)) 1) (* (cbrt (/ (/ PI (* a b)) (+ a b))) (sqrt 1/2)) (* (sqrt (/ (/ PI (* a b)) (+ a b))) (sqrt 1/2)) (* (/ (cbrt (/ PI (* a b))) (cbrt (+ a b))) (sqrt 1/2)) (* (/ (cbrt (/ PI (* a b))) (sqrt (+ a b))) (sqrt 1/2)) (* (/ (cbrt (/ PI (* a b))) (+ a b)) (sqrt 1/2)) (* (/ (cbrt (/ PI (* a b))) (+ a b)) (sqrt 1/2)) (* (/ (sqrt (/ PI (* a b))) (cbrt (+ a b))) (sqrt 1/2)) (* (/ (sqrt (/ PI (* a b))) (sqrt (+ a b))) (sqrt 1/2)) (* (/ (sqrt (/ PI (* a b))) (+ a b)) (sqrt 1/2)) (* (/ (sqrt (/ PI (* a b))) (+ a b)) (sqrt 1/2)) (* (/ (/ (cbrt PI) b) (cbrt (+ a b))) (sqrt 1/2)) (* (/ (/ (cbrt PI) b) (sqrt (+ a b))) (sqrt 1/2)) (* (/ (/ (cbrt PI) b) (+ a b)) (sqrt 1/2)) (* (/ (/ (cbrt PI) b) (+ a b)) (sqrt 1/2)) (* (/ (/ (sqrt PI) b) (cbrt (+ a b))) (sqrt 1/2)) (* (/ (/ (sqrt PI) b) (sqrt (+ a b))) (sqrt 1/2)) (* (/ (/ (sqrt PI) b) (+ a b)) (sqrt 1/2)) (* (/ (/ (sqrt PI) b) (+ a b)) (sqrt 1/2)) (* (/ (/ PI b) (cbrt (+ a b))) (sqrt 1/2)) (* (/ (/ PI b) (sqrt (+ a b))) (sqrt 1/2)) (* (/ (/ PI b) (+ a b)) (sqrt 1/2)) (* (/ (/ PI b) (+ a b)) (sqrt 1/2)) (* (/ (/ PI (* a b)) (cbrt (+ a b))) (sqrt 1/2)) (* (/ (/ PI (* a b)) (sqrt (+ a b))) (sqrt 1/2)) (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (* (/ (/ 1 (* a b)) (cbrt (+ a b))) (sqrt 1/2)) (* (/ (/ 1 (* a b)) (sqrt (+ a b))) (sqrt 1/2)) (* (/ (/ 1 (* a b)) (+ a b)) (sqrt 1/2)) (* (/ (/ 1 (* a b)) (+ a b)) (sqrt 1/2)) (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (* (/ 1 (+ a b)) (sqrt 1/2)) (* (+ (* a a) (- (* b b) (* a b))) (sqrt 1/2)) (* (- a b) (sqrt 1/2)) (* (/ PI (* a b)) (sqrt 1/2)) (real->posit16 (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2))) (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt 1/2)) (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt 1/2)) (+ (+ (- (- (log PI) (+ (log a) (log b))) (log (+ a b))) (log (sqrt 1/2))) (log (sqrt 1/2))) (+ (+ (- (- (log PI) (log (* a b))) (log (+ a b))) (log (sqrt 1/2))) (log (sqrt 1/2))) (+ (+ (- (log (/ PI (* a b))) (log (+ a b))) (log (sqrt 1/2))) (log (sqrt 1/2))) (+ (+ (log (/ (/ PI (* a b)) (+ a b))) (log (sqrt 1/2))) (log (sqrt 1/2))) (+ (log (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2))) (log (sqrt 1/2))) (log (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt 1/2))) (exp (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt 1/2))) (* (* (/ (/ (* (* PI PI) PI) (* (* (* a a) a) (* (* b b) b))) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2))) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2))) (* (* (/ (/ (* (* PI PI) PI) (* (* (* a b) (* a b)) (* a b))) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2))) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2))) (* (* (/ (* (* (/ PI (* a b)) (/ PI (* a b))) (/ PI (* a b))) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2))) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2))) (* (* (* (* (/ (/ PI (* a b)) (+ a b)) (/ (/ PI (* a b)) (+ a b))) (/ (/ PI (* a b)) (+ a b))) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2))) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2))) (* (* (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2))) (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2))) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2))) (* (cbrt (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt 1/2))) (cbrt (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt 1/2)))) (cbrt (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt 1/2))) (* (* (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt 1/2)) (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt 1/2))) (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt 1/2))) (sqrt (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt 1/2))) (sqrt (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt 1/2))) (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (* (cbrt (sqrt 1/2)) (cbrt (sqrt 1/2)))) (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt (* (cbrt 1/2) (cbrt 1/2)))) (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt (sqrt 1/2))) (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt 1)) (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt (sqrt 1/2))) (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) 1) (* (sqrt 1/2) (sqrt 1/2)) (* (* (/ PI (* a b)) (sqrt 1/2)) (sqrt 1/2)) (real->posit16 (* (* (/ (/ PI (* a b)) (+ a b)) (sqrt 1/2)) (sqrt 1/2))) (- (- (log PI) (+ (log a) (log b))) (log (+ a b))) (- (- (log PI) (log (* a b))) (log (+ a b))) (- (log (/ PI (* a b))) (log (+ a b))) (log (/ (/ PI (* a b)) (+ a b))) (exp (/ (/ PI (* a b)) (+ a b))) (/ (/ (* (* PI PI) PI) (* (* (* a a) a) (* (* b b) b))) (* (* (+ a b) (+ a b)) (+ a b))) (/ (/ (* (* PI PI) PI) (* (* (* a b) (* a b)) (* a b))) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* (/ PI (* a b)) (/ PI (* a b))) (/ PI (* a b))) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ (/ PI (* a b)) (+ a b))) (cbrt (/ (/ PI (* a b)) (+ a b)))) (cbrt (/ (/ PI (* a b)) (+ a b))) (* (* (/ (/ PI (* a b)) (+ a b)) (/ (/ PI (* a b)) (+ a b))) (/ (/ PI (* a b)) (+ a b))) (sqrt (/ (/ PI (* a b)) (+ a b))) (sqrt (/ (/ PI (* a b)) (+ a b))) (- (/ PI (* a b))) (- (+ a b)) (/ (* (cbrt (/ PI (* a b))) (cbrt (/ PI (* a b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (/ PI (* a b))) (cbrt (+ a b))) (/ (* (cbrt (/ PI (* a b))) (cbrt (/ PI (* a b)))) (sqrt (+ a b))) (/ (cbrt (/ PI (* a b))) (sqrt (+ a b))) (/ (* (cbrt (/ PI (* a b))) (cbrt (/ PI (* a b)))) 1) (/ (cbrt (/ PI (* a b))) (+ a b)) (/ (* (cbrt (/ PI (* a b))) (cbrt (/ PI (* a b)))) 1) (/ (cbrt (/ PI (* a b))) (+ a b)) (/ (sqrt (/ PI (* a b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ PI (* a b))) (cbrt (+ a b))) (/ (sqrt (/ PI (* a b))) (sqrt (+ a b))) (/ (sqrt (/ PI (* a b))) (sqrt (+ a b))) (/ (sqrt (/ PI (* a b))) 1) (/ (sqrt (/ PI (* a b))) (+ a b)) (/ (sqrt (/ PI (* a b))) 1) (/ (sqrt (/ PI (* a b))) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) a) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (cbrt PI) b) (cbrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) a) (sqrt (+ a b))) (/ (/ (cbrt PI) b) (sqrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) a) 1) (/ (/ (cbrt PI) b) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) a) 1) (/ (/ (cbrt PI) b) (+ a b)) (/ (/ (sqrt PI) a) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt PI) b) (cbrt (+ a b))) (/ (/ (sqrt PI) a) (sqrt (+ a b))) (/ (/ (sqrt PI) b) (sqrt (+ a b))) (/ (/ (sqrt PI) a) 1) (/ (/ (sqrt PI) b) (+ a b)) (/ (/ (sqrt PI) a) 1) (/ (/ (sqrt PI) b) (+ a b)) (/ (/ 1 a) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI b) (cbrt (+ a b))) (/ (/ 1 a) (sqrt (+ a b))) (/ (/ PI b) (sqrt (+ a b))) (/ (/ 1 a) 1) (/ (/ PI b) (+ a b)) (/ (/ 1 a) 1) (/ (/ PI b) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (* a b)) (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ (/ PI (* a b)) (sqrt (+ a b))) (/ 1 1) (/ (/ PI (* a b)) (+ a b)) (/ 1 1) (/ (/ PI (* a b)) (+ a b)) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 (* a b)) (cbrt (+ a b))) (/ PI (sqrt (+ a b))) (/ (/ 1 (* a b)) (sqrt (+ a b))) (/ PI 1) (/ (/ 1 (* a b)) (+ a b)) (/ PI 1) (/ (/ 1 (* a b)) (+ a b)) (/ 1 (+ a b)) (/ (+ a b) (/ PI (* a b))) (/ (/ PI (* a b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (* a b)) (sqrt (+ a b))) (/ (/ PI (* a b)) 1) (/ (/ PI (* a b)) 1) (/ (+ a b) (cbrt (/ PI (* a b)))) (/ (+ a b) (sqrt (/ PI (* a b)))) (/ (+ a b) (/ (cbrt PI) b)) (/ (+ a b) (/ (sqrt PI) b)) (/ (+ a b) (/ PI b)) (/ (+ a b) (/ PI (* a b))) (/ (+ a b) (/ 1 (* a b))) (/ (/ PI (* a b)) (+ (pow a 3) (pow b 3))) (/ (/ PI (* a b)) (- (* a a) (* b b))) (* (+ a b) (* a b)) (real->posit16 (/ (/ PI (* a b)) (+ a b))) (/ PI (* a b)) (/ PI (* a b)) (/ PI (* a b)) 0 0 0 0 0 0 0 0 0 12.325 * * [simplify]: iteration 1: (221 enodes) 12.424 * * [simplify]: iteration 2: (972 enodes) 12.836 * * [simplify]: Extracting #0: cost 133 inf + 0 12.838 * * [simplify]: Extracting #1: cost 766 inf + 45 12.843 * * [simplify]: Extracting #2: cost 1038 inf + 11879 12.872 * * [simplify]: Extracting #3: cost 428 inf + 139450 12.961 * * [simplify]: Extracting #4: cost 41 inf + 238471 13.064 * * [simplify]: Extracting #5: cost 1 inf + 247885 13.144 * * [simplify]: Extracting #6: cost 0 inf + 247969 13.202 * [simplify]: Simplified to: (log (/ (/ PI a) b)) (log (/ (/ PI a) b)) (log (/ (/ PI a) b)) (exp (/ (/ PI a) b)) (* (* (/ (/ PI a) b) (/ (/ PI a) b)) (/ (/ PI a) b)) (* (* (/ (/ PI a) b) (/ (/ PI a) b)) (/ (/ PI a) b)) (* (cbrt (/ (/ PI a) b)) (cbrt (/ (/ PI a) b))) (cbrt (/ (/ PI a) b)) (* (* (/ (/ PI a) b) (/ (/ PI a) b)) (/ (/ PI a) b)) (sqrt (/ (/ PI a) b)) (sqrt (/ (/ PI a) b)) (- PI) (* (- b) a) (* (/ (cbrt PI) a) (cbrt PI)) (/ (cbrt PI) b) (/ (sqrt PI) a) (/ (sqrt PI) b) (/ 1 a) (/ PI b) (/ 1 (* b a)) (* (/ a PI) b) (/ PI a) (/ (* b a) (cbrt PI)) (/ (* b a) (sqrt PI)) (* (/ a PI) b) (real->posit16 (/ (/ PI a) b)) (/ (* (/ (/ PI a) b) (sqrt 1/2)) (+ a b)) (log (/ (* (/ (/ PI a) b) (sqrt 1/2)) (+ a b))) (log (/ (* (/ (/ 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b) (* b a))) (* 1/2 (sqrt 1/2))))) (* 1/2 (sqrt 1/2))) (* (* (/ PI (* (+ a b) (* b a))) (* (/ PI (* (+ a b) (* b a))) (* (/ PI (* (+ a b) (* b a))) (* 1/2 (sqrt 1/2))))) (* 1/2 (sqrt 1/2))) (* (* (/ PI (* (+ a b) (* b a))) (* (/ PI (* (+ a b) (* b a))) (* (/ PI (* (+ a b) (* b a))) (* 1/2 (sqrt 1/2))))) (* 1/2 (sqrt 1/2))) (* (* (/ (* (/ (/ PI a) b) (sqrt 1/2)) (+ a b)) (* (/ (* (/ (/ PI a) b) (sqrt 1/2)) (+ a b)) (/ (* (/ (/ PI a) b) (sqrt 1/2)) (+ a b)))) (* 1/2 (sqrt 1/2))) (* (cbrt (* (/ PI (* (+ a b) (* b a))) 1/2)) (cbrt (* (/ PI (* (+ a b) (* b a))) 1/2))) (cbrt (* (/ PI (* (+ a b) (* b a))) 1/2)) (* (* (* (/ PI (* (+ a b) (* b a))) 1/2) (* (/ PI (* (+ a b) (* b a))) 1/2)) (* (/ PI (* (+ a b) (* b a))) 1/2)) (sqrt (* (/ PI (* (+ a b) (* b a))) 1/2)) (sqrt (* (/ PI (* (+ a b) (* b a))) 1/2)) (* (* (* (/ PI (* (+ a b) (* b a))) (cbrt (sqrt 1/2))) (cbrt (sqrt 1/2))) (sqrt 1/2)) (* (fabs (cbrt 1/2)) (/ (* (/ (/ PI a) b) (sqrt 1/2)) (+ a b))) (* (* (/ PI (* (+ a b) (* b a))) (sqrt 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b)) (cbrt (+ a b))) (/ (cbrt (/ (/ PI a) b)) (cbrt (+ a b)))) (/ (cbrt (/ (/ PI a) b)) (cbrt (+ a b))) (* (/ (cbrt (/ (/ PI a) b)) (sqrt (+ a b))) (cbrt (/ (/ PI a) b))) (/ (cbrt (/ (/ PI a) b)) (sqrt (+ a b))) (* (cbrt (/ (/ PI a) b)) (cbrt (/ (/ PI a) b))) (/ (cbrt (/ (/ PI a) b)) (+ a b)) (* (cbrt (/ (/ PI a) b)) (cbrt (/ (/ PI a) b))) (/ (cbrt (/ (/ PI a) b)) (+ a b)) (/ (/ (sqrt (/ (/ PI a) b)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (sqrt (/ (/ PI a) b)) (cbrt (+ a b))) (/ (sqrt (/ (/ PI a) b)) (sqrt (+ a b))) (/ (sqrt (/ (/ PI a) b)) (sqrt (+ a b))) (sqrt (/ (/ PI a) b)) (/ (sqrt (/ (/ PI a) b)) (+ a b)) (sqrt (/ (/ PI a) b)) (/ (sqrt (/ (/ PI a) b)) (+ a b)) (/ (/ (* (/ (cbrt PI) a) (cbrt PI)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (cbrt PI) b) (cbrt (+ a b))) (/ (cbrt PI) (* (sqrt (+ a b)) (/ a (cbrt PI)))) (/ (/ (cbrt PI) (sqrt (+ a b))) b) (* (/ (cbrt PI) a) (cbrt PI)) (/ (cbrt PI) (* b (+ a b))) (* (/ (cbrt PI) a) (cbrt PI)) (/ (cbrt PI) (* b (+ a b))) (/ (/ (/ (sqrt PI) a) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (sqrt PI) b) (cbrt (+ a b))) (/ (/ (sqrt PI) (sqrt (+ a b))) a) (/ (/ (sqrt PI) (sqrt (+ a b))) b) (/ (sqrt PI) a) (/ (/ (sqrt PI) (+ a b)) b) (/ (sqrt PI) a) (/ (/ (sqrt PI) (+ a b)) b) (/ (/ 1 a) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI b) (cbrt (+ a b))) (/ 1 (* (sqrt (+ a b)) a)) (/ (/ PI (sqrt (+ a b))) b) (/ 1 a) (/ (/ PI (+ a b)) b) (/ 1 a) (/ (/ PI (+ a b)) b) (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (/ PI a) b) (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ (/ (/ PI a) b) (sqrt (+ a b))) 1 (/ PI (* (+ a b) (* b a))) 1 (/ PI (* (+ a b) (* b a))) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 (* b a)) (cbrt (+ a b))) (/ PI (sqrt (+ a b))) (/ (/ 1 (* b a)) (sqrt (+ a b))) PI (/ (/ 1 (* b a)) (+ a b)) PI (/ (/ 1 (* b a)) (+ a b)) (/ 1 (+ a b)) (* (/ (+ a b) (/ PI a)) b) (/ (/ (/ (/ PI a) b) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (/ PI a) b) (sqrt (+ a b))) (/ (/ PI a) b) (/ (/ PI a) b) (/ (+ a b) (cbrt (/ (/ PI a) b))) (/ (+ a b) (sqrt (/ (/ PI a) b))) (/ (+ a b) (/ (cbrt PI) b)) (* (/ (+ a b) (sqrt PI)) b) (* (/ (+ a b) PI) b) (* (/ (+ a b) (/ PI a)) b) (* (+ a b) (* b a)) (/ (/ PI a) (* (+ (* a (* a a)) (* b (* b b))) b)) (/ (/ PI (* (+ a b) (- a b))) (* b a)) (* (+ a b) (* b a)) (real->posit16 (/ PI (* (+ a b) (* b a)))) (/ (/ PI a) b) (/ (/ PI a) b) (/ (/ PI a) b) 0 0 0 0 0 0 0 0 0 13.217 * * * [progress]: adding candidates to table 14.949 * * [progress]: iteration 4 / 4 14.949 * * * [progress]: picking best candidate 14.966 * * * * [pick]: Picked # 14.966 * * * [progress]: localizing error 14.983 * * * [progress]: generating rewritten candidates 14.983 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 14.987 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 14.997 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 15.028 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 15.045 * * * [progress]: generating series expansions 15.045 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 15.046 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 15.046 * [approximate]: Taking taylor expansion of (/ PI a) in (a) around 0 15.046 * [taylor]: Taking taylor expansion of (/ PI a) in a 15.046 * [taylor]: Taking taylor expansion of PI in a 15.046 * [backup-simplify]: Simplify PI into PI 15.046 * [taylor]: Taking taylor expansion of a in a 15.046 * [backup-simplify]: Simplify 0 into 0 15.046 * [backup-simplify]: Simplify 1 into 1 15.046 * [backup-simplify]: Simplify (/ PI 1) into PI 15.046 * [taylor]: Taking taylor expansion of (/ PI a) in a 15.046 * [taylor]: Taking taylor expansion of PI in a 15.046 * [backup-simplify]: Simplify PI into PI 15.046 * [taylor]: Taking taylor expansion of a in a 15.046 * [backup-simplify]: Simplify 0 into 0 15.046 * [backup-simplify]: Simplify 1 into 1 15.047 * [backup-simplify]: Simplify (/ PI 1) into PI 15.047 * [backup-simplify]: Simplify PI into PI 15.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.047 * [backup-simplify]: Simplify 0 into 0 15.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.048 * [backup-simplify]: Simplify 0 into 0 15.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.049 * [backup-simplify]: Simplify 0 into 0 15.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.049 * [backup-simplify]: Simplify 0 into 0 15.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.050 * [backup-simplify]: Simplify 0 into 0 15.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.051 * [backup-simplify]: Simplify 0 into 0 15.051 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 15.051 * [backup-simplify]: Simplify (/ PI (/ 1 a)) into (* a PI) 15.051 * [approximate]: Taking taylor expansion of (* a PI) in (a) around 0 15.051 * [taylor]: Taking taylor expansion of (* a PI) in a 15.051 * [taylor]: Taking taylor expansion of a in a 15.051 * [backup-simplify]: Simplify 0 into 0 15.051 * [backup-simplify]: Simplify 1 into 1 15.051 * [taylor]: Taking taylor expansion of PI in a 15.051 * [backup-simplify]: Simplify PI into PI 15.051 * [taylor]: Taking taylor expansion of (* a PI) in a 15.051 * [taylor]: Taking taylor expansion of a in a 15.051 * [backup-simplify]: Simplify 0 into 0 15.051 * [backup-simplify]: Simplify 1 into 1 15.051 * [taylor]: Taking taylor expansion of PI in a 15.051 * [backup-simplify]: Simplify PI into PI 15.051 * [backup-simplify]: Simplify (* 0 PI) into 0 15.051 * [backup-simplify]: Simplify 0 into 0 15.052 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.052 * [backup-simplify]: Simplify PI into PI 15.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.053 * [backup-simplify]: Simplify 0 into 0 15.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.054 * [backup-simplify]: Simplify 0 into 0 15.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.054 * [backup-simplify]: Simplify 0 into 0 15.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 15.055 * [backup-simplify]: Simplify 0 into 0 15.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 15.056 * [backup-simplify]: Simplify 0 into 0 15.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 15.057 * [backup-simplify]: Simplify 0 into 0 15.057 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 15.057 * [backup-simplify]: Simplify (/ PI (/ 1 (- a))) into (* -1 (* a PI)) 15.058 * [approximate]: Taking taylor expansion of (* -1 (* a PI)) in (a) around 0 15.058 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 15.058 * [taylor]: Taking taylor expansion of -1 in a 15.058 * [backup-simplify]: Simplify -1 into -1 15.058 * [taylor]: Taking taylor expansion of (* a PI) in a 15.058 * [taylor]: Taking taylor expansion of a in a 15.058 * [backup-simplify]: Simplify 0 into 0 15.058 * [backup-simplify]: Simplify 1 into 1 15.058 * [taylor]: Taking taylor expansion of PI in a 15.058 * [backup-simplify]: Simplify PI into PI 15.058 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 15.058 * [taylor]: Taking taylor expansion of -1 in a 15.058 * [backup-simplify]: Simplify -1 into -1 15.058 * [taylor]: Taking taylor expansion of (* a PI) in a 15.058 * [taylor]: Taking taylor expansion of a in a 15.058 * [backup-simplify]: Simplify 0 into 0 15.058 * [backup-simplify]: Simplify 1 into 1 15.058 * [taylor]: Taking taylor expansion of PI in a 15.058 * [backup-simplify]: Simplify PI into PI 15.058 * [backup-simplify]: Simplify (* 0 PI) into 0 15.058 * [backup-simplify]: Simplify (* -1 0) into 0 15.058 * [backup-simplify]: Simplify 0 into 0 15.059 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.060 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 15.061 * [backup-simplify]: Simplify (- PI) into (- PI) 15.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.062 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 15.062 * [backup-simplify]: Simplify 0 into 0 15.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.063 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.063 * [backup-simplify]: Simplify 0 into 0 15.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.065 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 15.065 * [backup-simplify]: Simplify 0 into 0 15.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 15.067 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 15.067 * [backup-simplify]: Simplify 0 into 0 15.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 15.069 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 15.069 * [backup-simplify]: Simplify 0 into 0 15.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 15.072 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 15.072 * [backup-simplify]: Simplify 0 into 0 15.073 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- a))) into (/ PI a) 15.073 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 15.073 * [backup-simplify]: Simplify (/ (/ PI a) b) into (/ PI (* a b)) 15.073 * [approximate]: Taking taylor expansion of (/ PI (* a b)) in (a b) around 0 15.073 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in b 15.073 * [taylor]: Taking taylor expansion of PI in b 15.073 * [backup-simplify]: Simplify PI into PI 15.073 * [taylor]: Taking taylor expansion of (* a b) in b 15.073 * [taylor]: Taking taylor expansion of a in b 15.073 * [backup-simplify]: Simplify a into a 15.073 * [taylor]: Taking taylor expansion of b in b 15.073 * [backup-simplify]: Simplify 0 into 0 15.073 * [backup-simplify]: Simplify 1 into 1 15.074 * [backup-simplify]: Simplify (* a 0) into 0 15.074 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 15.074 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 15.074 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in a 15.074 * [taylor]: Taking taylor expansion of PI in a 15.074 * [backup-simplify]: Simplify PI into PI 15.074 * [taylor]: Taking taylor expansion of (* a b) in a 15.074 * [taylor]: Taking taylor expansion of a in a 15.074 * [backup-simplify]: Simplify 0 into 0 15.074 * [backup-simplify]: Simplify 1 into 1 15.074 * [taylor]: Taking taylor expansion of b in a 15.074 * [backup-simplify]: Simplify b into b 15.074 * [backup-simplify]: Simplify (* 0 b) into 0 15.075 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 15.075 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 15.075 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in a 15.075 * [taylor]: Taking taylor expansion of PI in a 15.075 * [backup-simplify]: Simplify PI into PI 15.075 * [taylor]: Taking taylor expansion of (* a b) in a 15.075 * [taylor]: Taking taylor expansion of a in a 15.075 * [backup-simplify]: Simplify 0 into 0 15.075 * [backup-simplify]: Simplify 1 into 1 15.075 * [taylor]: Taking taylor expansion of b in a 15.075 * [backup-simplify]: Simplify b into b 15.075 * [backup-simplify]: Simplify (* 0 b) into 0 15.075 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 15.076 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 15.076 * [taylor]: Taking taylor expansion of (/ PI b) in b 15.076 * [taylor]: Taking taylor expansion of PI in b 15.076 * [backup-simplify]: Simplify PI into PI 15.076 * [taylor]: Taking taylor expansion of b in b 15.076 * [backup-simplify]: Simplify 0 into 0 15.076 * [backup-simplify]: Simplify 1 into 1 15.076 * [backup-simplify]: Simplify (/ PI 1) into PI 15.076 * [backup-simplify]: Simplify PI into PI 15.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 15.077 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 15.077 * [taylor]: Taking taylor expansion of 0 in b 15.078 * [backup-simplify]: Simplify 0 into 0 15.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.078 * [backup-simplify]: Simplify 0 into 0 15.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 15.080 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 15.080 * [taylor]: Taking taylor expansion of 0 in b 15.080 * [backup-simplify]: Simplify 0 into 0 15.080 * [backup-simplify]: Simplify 0 into 0 15.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.081 * [backup-simplify]: Simplify 0 into 0 15.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 15.083 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 15.083 * [taylor]: Taking taylor expansion of 0 in b 15.083 * [backup-simplify]: Simplify 0 into 0 15.083 * [backup-simplify]: Simplify 0 into 0 15.083 * [backup-simplify]: Simplify 0 into 0 15.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.084 * [backup-simplify]: Simplify 0 into 0 15.084 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 15.085 * [backup-simplify]: Simplify (/ (/ PI (/ 1 a)) (/ 1 b)) into (* a (* b PI)) 15.085 * [approximate]: Taking taylor expansion of (* a (* b PI)) in (a b) around 0 15.085 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 15.085 * [taylor]: Taking taylor expansion of a in b 15.085 * [backup-simplify]: Simplify a into a 15.085 * [taylor]: Taking taylor expansion of (* b PI) in b 15.085 * [taylor]: Taking taylor expansion of b in b 15.085 * [backup-simplify]: Simplify 0 into 0 15.085 * [backup-simplify]: Simplify 1 into 1 15.085 * [taylor]: Taking taylor expansion of PI in b 15.085 * [backup-simplify]: Simplify PI into PI 15.085 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 15.085 * [taylor]: Taking taylor expansion of a in a 15.085 * [backup-simplify]: Simplify 0 into 0 15.085 * [backup-simplify]: Simplify 1 into 1 15.085 * [taylor]: Taking taylor expansion of (* b PI) in a 15.085 * [taylor]: Taking taylor expansion of b in a 15.085 * [backup-simplify]: Simplify b into b 15.085 * [taylor]: Taking taylor expansion of PI in a 15.085 * [backup-simplify]: Simplify PI into PI 15.085 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 15.085 * [taylor]: Taking taylor expansion of a in a 15.085 * [backup-simplify]: Simplify 0 into 0 15.085 * [backup-simplify]: Simplify 1 into 1 15.085 * [taylor]: Taking taylor expansion of (* b PI) in a 15.085 * [taylor]: Taking taylor expansion of b in a 15.085 * [backup-simplify]: Simplify b into b 15.086 * [taylor]: Taking taylor expansion of PI in a 15.086 * [backup-simplify]: Simplify PI into PI 15.086 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.086 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 15.086 * [taylor]: Taking taylor expansion of 0 in b 15.086 * [backup-simplify]: Simplify 0 into 0 15.086 * [backup-simplify]: Simplify 0 into 0 15.087 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 15.087 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 15.087 * [taylor]: Taking taylor expansion of (* b PI) in b 15.087 * [taylor]: Taking taylor expansion of b in b 15.087 * [backup-simplify]: Simplify 0 into 0 15.087 * [backup-simplify]: Simplify 1 into 1 15.087 * [taylor]: Taking taylor expansion of PI in b 15.087 * [backup-simplify]: Simplify PI into PI 15.088 * [backup-simplify]: Simplify (* 0 PI) into 0 15.088 * [backup-simplify]: Simplify 0 into 0 15.088 * [backup-simplify]: Simplify 0 into 0 15.089 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 15.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 15.090 * [taylor]: Taking taylor expansion of 0 in b 15.090 * [backup-simplify]: Simplify 0 into 0 15.090 * [backup-simplify]: Simplify 0 into 0 15.091 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.091 * [backup-simplify]: Simplify PI into PI 15.092 * [backup-simplify]: Simplify 0 into 0 15.092 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 15.094 * [taylor]: Taking taylor expansion of 0 in b 15.094 * [backup-simplify]: Simplify 0 into 0 15.094 * [backup-simplify]: Simplify 0 into 0 15.094 * [backup-simplify]: Simplify 0 into 0 15.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.095 * [backup-simplify]: Simplify 0 into 0 15.095 * [backup-simplify]: Simplify 0 into 0 15.096 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b)))))) into 0 15.098 * [taylor]: Taking taylor expansion of 0 in b 15.098 * [backup-simplify]: Simplify 0 into 0 15.098 * [backup-simplify]: Simplify 0 into 0 15.098 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 15.098 * [backup-simplify]: Simplify (/ (/ PI (/ 1 (- a))) (/ 1 (- b))) into (* a (* b PI)) 15.098 * [approximate]: Taking taylor expansion of (* a (* b PI)) in (a b) around 0 15.098 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 15.098 * [taylor]: Taking taylor expansion of a in b 15.098 * [backup-simplify]: Simplify a into a 15.098 * [taylor]: Taking taylor expansion of (* b PI) in b 15.098 * [taylor]: Taking taylor expansion of b in b 15.098 * [backup-simplify]: Simplify 0 into 0 15.098 * [backup-simplify]: Simplify 1 into 1 15.098 * [taylor]: Taking taylor expansion of PI in b 15.098 * [backup-simplify]: Simplify PI into PI 15.099 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 15.099 * [taylor]: Taking taylor expansion of a in a 15.099 * [backup-simplify]: Simplify 0 into 0 15.099 * [backup-simplify]: Simplify 1 into 1 15.099 * [taylor]: Taking taylor expansion of (* b PI) in a 15.099 * [taylor]: Taking taylor expansion of b in a 15.099 * [backup-simplify]: Simplify b into b 15.099 * [taylor]: Taking taylor expansion of PI in a 15.099 * [backup-simplify]: Simplify PI into PI 15.099 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 15.099 * [taylor]: Taking taylor expansion of a in a 15.099 * [backup-simplify]: Simplify 0 into 0 15.099 * [backup-simplify]: Simplify 1 into 1 15.099 * [taylor]: Taking taylor expansion of (* b PI) in a 15.099 * [taylor]: Taking taylor expansion of b in a 15.099 * [backup-simplify]: Simplify b into b 15.099 * [taylor]: Taking taylor expansion of PI in a 15.099 * [backup-simplify]: Simplify PI into PI 15.099 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.099 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 15.099 * [taylor]: Taking taylor expansion of 0 in b 15.099 * [backup-simplify]: Simplify 0 into 0 15.099 * [backup-simplify]: Simplify 0 into 0 15.100 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 15.100 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 15.100 * [taylor]: Taking taylor expansion of (* b PI) in b 15.100 * [taylor]: Taking taylor expansion of b in b 15.100 * [backup-simplify]: Simplify 0 into 0 15.100 * [backup-simplify]: Simplify 1 into 1 15.100 * [taylor]: Taking taylor expansion of PI in b 15.100 * [backup-simplify]: Simplify PI into PI 15.101 * [backup-simplify]: Simplify (* 0 PI) into 0 15.101 * [backup-simplify]: Simplify 0 into 0 15.101 * [backup-simplify]: Simplify 0 into 0 15.102 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 15.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 15.109 * [taylor]: Taking taylor expansion of 0 in b 15.109 * [backup-simplify]: Simplify 0 into 0 15.109 * [backup-simplify]: Simplify 0 into 0 15.111 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.111 * [backup-simplify]: Simplify PI into PI 15.111 * [backup-simplify]: Simplify 0 into 0 15.112 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 15.113 * [taylor]: Taking taylor expansion of 0 in b 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [backup-simplify]: Simplify 0 into 0 15.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.114 * [backup-simplify]: Simplify 0 into 0 15.114 * [backup-simplify]: Simplify 0 into 0 15.115 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b)))))) into 0 15.117 * [taylor]: Taking taylor expansion of 0 in b 15.117 * [backup-simplify]: Simplify 0 into 0 15.117 * [backup-simplify]: Simplify 0 into 0 15.117 * [backup-simplify]: Simplify (* PI (* (/ 1 (- b)) (/ 1 (- a)))) into (/ PI (* a b)) 15.117 * * * * [progress]: [ 3 / 4 ] generating series at (2) 15.118 * [backup-simplify]: Simplify (/ (* (/ (/ PI a) b) 1/2) (+ a b)) into (* 1/2 (/ PI (* a (* (+ a b) b)))) 15.118 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in (a b) around 0 15.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in b 15.118 * [taylor]: Taking taylor expansion of 1/2 in b 15.118 * [backup-simplify]: Simplify 1/2 into 1/2 15.118 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in b 15.118 * [taylor]: Taking taylor expansion of PI in b 15.118 * [backup-simplify]: Simplify PI into PI 15.118 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 15.118 * [taylor]: Taking taylor expansion of a in b 15.118 * [backup-simplify]: Simplify a into a 15.118 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 15.118 * [taylor]: Taking taylor expansion of (+ a b) in b 15.118 * [taylor]: Taking taylor expansion of a in b 15.118 * [backup-simplify]: Simplify a into a 15.118 * [taylor]: Taking taylor expansion of b in b 15.118 * [backup-simplify]: Simplify 0 into 0 15.118 * [backup-simplify]: Simplify 1 into 1 15.118 * [taylor]: Taking taylor expansion of b in b 15.118 * [backup-simplify]: Simplify 0 into 0 15.118 * [backup-simplify]: Simplify 1 into 1 15.118 * [backup-simplify]: Simplify (+ a 0) into a 15.118 * [backup-simplify]: Simplify (* a 0) into 0 15.118 * [backup-simplify]: Simplify (* a 0) into 0 15.119 * [backup-simplify]: Simplify (+ 0 1) into 1 15.119 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 15.120 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 15.120 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 15.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in a 15.120 * [taylor]: Taking taylor expansion of 1/2 in a 15.120 * [backup-simplify]: Simplify 1/2 into 1/2 15.120 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in a 15.120 * [taylor]: Taking taylor expansion of PI in a 15.120 * [backup-simplify]: Simplify PI into PI 15.120 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 15.120 * [taylor]: Taking taylor expansion of a in a 15.120 * [backup-simplify]: Simplify 0 into 0 15.120 * [backup-simplify]: Simplify 1 into 1 15.120 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 15.120 * [taylor]: Taking taylor expansion of (+ a b) in a 15.120 * [taylor]: Taking taylor expansion of a in a 15.120 * [backup-simplify]: Simplify 0 into 0 15.120 * [backup-simplify]: Simplify 1 into 1 15.120 * [taylor]: Taking taylor expansion of b in a 15.120 * [backup-simplify]: Simplify b into b 15.120 * [taylor]: Taking taylor expansion of b in a 15.120 * [backup-simplify]: Simplify b into b 15.120 * [backup-simplify]: Simplify (+ 0 b) into b 15.120 * [backup-simplify]: Simplify (* b b) into (pow b 2) 15.120 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 15.121 * [backup-simplify]: Simplify (+ 1 0) into 1 15.121 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 15.121 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 15.121 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 15.121 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in a 15.121 * [taylor]: Taking taylor expansion of 1/2 in a 15.121 * [backup-simplify]: Simplify 1/2 into 1/2 15.121 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in a 15.121 * [taylor]: Taking taylor expansion of PI in a 15.121 * [backup-simplify]: Simplify PI into PI 15.121 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 15.121 * [taylor]: Taking taylor expansion of a in a 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [backup-simplify]: Simplify 1 into 1 15.121 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 15.121 * [taylor]: Taking taylor expansion of (+ a b) in a 15.121 * [taylor]: Taking taylor expansion of a in a 15.121 * [backup-simplify]: Simplify 0 into 0 15.122 * [backup-simplify]: Simplify 1 into 1 15.122 * [taylor]: Taking taylor expansion of b in a 15.122 * [backup-simplify]: Simplify b into b 15.122 * [taylor]: Taking taylor expansion of b in a 15.122 * [backup-simplify]: Simplify b into b 15.122 * [backup-simplify]: Simplify (+ 0 b) into b 15.122 * [backup-simplify]: Simplify (* b b) into (pow b 2) 15.122 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 15.122 * [backup-simplify]: Simplify (+ 1 0) into 1 15.122 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 15.122 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 15.123 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 15.123 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 15.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 15.123 * [taylor]: Taking taylor expansion of 1/2 in b 15.123 * [backup-simplify]: Simplify 1/2 into 1/2 15.123 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 15.123 * [taylor]: Taking taylor expansion of PI in b 15.123 * [backup-simplify]: Simplify PI into PI 15.123 * [taylor]: Taking taylor expansion of (pow b 2) in b 15.123 * [taylor]: Taking taylor expansion of b in b 15.123 * [backup-simplify]: Simplify 0 into 0 15.123 * [backup-simplify]: Simplify 1 into 1 15.123 * [backup-simplify]: Simplify (* 1 1) into 1 15.124 * [backup-simplify]: Simplify (/ PI 1) into PI 15.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 15.126 * [backup-simplify]: Simplify 0 into 0 15.127 * [backup-simplify]: Simplify (+ 0 0) into 0 15.127 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (* 0 b))) into 0 15.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 b) (* 0 (pow b 2)))) into b 15.128 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 15.128 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 15.128 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 15.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 15.128 * [taylor]: Taking taylor expansion of 1/2 in b 15.128 * [backup-simplify]: Simplify 1/2 into 1/2 15.128 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 15.128 * [taylor]: Taking taylor expansion of PI in b 15.128 * [backup-simplify]: Simplify PI into PI 15.128 * [taylor]: Taking taylor expansion of (pow b 3) in b 15.128 * [taylor]: Taking taylor expansion of b in b 15.128 * [backup-simplify]: Simplify 0 into 0 15.128 * [backup-simplify]: Simplify 1 into 1 15.129 * [backup-simplify]: Simplify (* 1 1) into 1 15.129 * [backup-simplify]: Simplify (* 1 1) into 1 15.130 * [backup-simplify]: Simplify (/ PI 1) into PI 15.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.136 * [backup-simplify]: Simplify (- 0) into 0 15.136 * [backup-simplify]: Simplify 0 into 0 15.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.139 * [backup-simplify]: Simplify 0 into 0 15.140 * [backup-simplify]: Simplify (+ 0 0) into 0 15.141 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 15.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 b) (* 0 (pow b 2))))) into 0 15.142 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))) (* (- (/ PI (pow b 3))) (/ b (pow b 2))))) into (/ PI (pow b 4)) 15.142 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 15.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 15.142 * [taylor]: Taking taylor expansion of 1/2 in b 15.143 * [backup-simplify]: Simplify 1/2 into 1/2 15.143 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 15.143 * [taylor]: Taking taylor expansion of PI in b 15.143 * [backup-simplify]: Simplify PI into PI 15.143 * [taylor]: Taking taylor expansion of (pow b 4) in b 15.143 * [taylor]: Taking taylor expansion of b in b 15.143 * [backup-simplify]: Simplify 0 into 0 15.143 * [backup-simplify]: Simplify 1 into 1 15.143 * [backup-simplify]: Simplify (* 1 1) into 1 15.143 * [backup-simplify]: Simplify (* 1 1) into 1 15.144 * [backup-simplify]: Simplify (/ PI 1) into PI 15.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.153 * [backup-simplify]: Simplify 0 into 0 15.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.158 * [backup-simplify]: Simplify (- 0) into 0 15.159 * [backup-simplify]: Simplify 0 into 0 15.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.162 * [backup-simplify]: Simplify 0 into 0 15.162 * [backup-simplify]: Simplify 0 into 0 15.162 * [backup-simplify]: Simplify (/ (* (/ (/ PI (/ 1 a)) (/ 1 b)) 1/2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) 15.162 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 15.162 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 15.162 * [taylor]: Taking taylor expansion of 1/2 in b 15.162 * [backup-simplify]: Simplify 1/2 into 1/2 15.162 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 15.162 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 15.163 * [taylor]: Taking taylor expansion of a in b 15.163 * [backup-simplify]: Simplify a into a 15.163 * [taylor]: Taking taylor expansion of (* b PI) in b 15.163 * [taylor]: Taking taylor expansion of b in b 15.163 * [backup-simplify]: Simplify 0 into 0 15.163 * [backup-simplify]: Simplify 1 into 1 15.163 * [taylor]: Taking taylor expansion of PI in b 15.163 * [backup-simplify]: Simplify PI into PI 15.163 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 15.163 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.163 * [taylor]: Taking taylor expansion of a in b 15.163 * [backup-simplify]: Simplify a into a 15.163 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.163 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.163 * [taylor]: Taking taylor expansion of b in b 15.163 * [backup-simplify]: Simplify 0 into 0 15.163 * [backup-simplify]: Simplify 1 into 1 15.163 * [backup-simplify]: Simplify (/ 1 1) into 1 15.164 * [backup-simplify]: Simplify (* 0 PI) into 0 15.164 * [backup-simplify]: Simplify (* a 0) into 0 15.165 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.166 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 15.166 * [backup-simplify]: Simplify (+ 0 1) into 1 15.166 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 15.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 15.167 * [taylor]: Taking taylor expansion of 1/2 in a 15.167 * [backup-simplify]: Simplify 1/2 into 1/2 15.167 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 15.167 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 15.167 * [taylor]: Taking taylor expansion of a in a 15.167 * [backup-simplify]: Simplify 0 into 0 15.167 * [backup-simplify]: Simplify 1 into 1 15.167 * [taylor]: Taking taylor expansion of (* b PI) in a 15.167 * [taylor]: Taking taylor expansion of b in a 15.167 * [backup-simplify]: Simplify b into b 15.167 * [taylor]: Taking taylor expansion of PI in a 15.167 * [backup-simplify]: Simplify PI into PI 15.167 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 15.167 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.167 * [taylor]: Taking taylor expansion of a in a 15.167 * [backup-simplify]: Simplify 0 into 0 15.167 * [backup-simplify]: Simplify 1 into 1 15.167 * [backup-simplify]: Simplify (/ 1 1) into 1 15.167 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.168 * [taylor]: Taking taylor expansion of b in a 15.168 * [backup-simplify]: Simplify b into b 15.168 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.168 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.168 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 15.168 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 15.169 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 15.169 * [backup-simplify]: Simplify (+ 1 0) into 1 15.169 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 15.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 15.169 * [taylor]: Taking taylor expansion of 1/2 in a 15.169 * [backup-simplify]: Simplify 1/2 into 1/2 15.169 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 15.169 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 15.169 * [taylor]: Taking taylor expansion of a in a 15.169 * [backup-simplify]: Simplify 0 into 0 15.169 * [backup-simplify]: Simplify 1 into 1 15.169 * [taylor]: Taking taylor expansion of (* b PI) in a 15.170 * [taylor]: Taking taylor expansion of b in a 15.170 * [backup-simplify]: Simplify b into b 15.170 * [taylor]: Taking taylor expansion of PI in a 15.170 * [backup-simplify]: Simplify PI into PI 15.170 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 15.170 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.170 * [taylor]: Taking taylor expansion of a in a 15.170 * [backup-simplify]: Simplify 0 into 0 15.170 * [backup-simplify]: Simplify 1 into 1 15.170 * [backup-simplify]: Simplify (/ 1 1) into 1 15.170 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.170 * [taylor]: Taking taylor expansion of b in a 15.170 * [backup-simplify]: Simplify b into b 15.171 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.171 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.171 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 15.171 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 15.172 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 15.172 * [backup-simplify]: Simplify (+ 1 0) into 1 15.172 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 15.173 * [backup-simplify]: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) 15.173 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 15.173 * [taylor]: Taking taylor expansion of 1/2 in b 15.173 * [backup-simplify]: Simplify 1/2 into 1/2 15.173 * [taylor]: Taking taylor expansion of (* b PI) in b 15.173 * [taylor]: Taking taylor expansion of b in b 15.173 * [backup-simplify]: Simplify 0 into 0 15.173 * [backup-simplify]: Simplify 1 into 1 15.173 * [taylor]: Taking taylor expansion of PI in b 15.173 * [backup-simplify]: Simplify PI into PI 15.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.176 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.176 * [backup-simplify]: Simplify (* 0 PI) into 0 15.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.177 * [backup-simplify]: Simplify 0 into 0 15.178 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 15.179 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 15.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.180 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 15.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ (/ 1 b) 1)))) into (- PI) 15.181 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* b PI))) into (- (* 1/2 PI)) 15.181 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 15.181 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 15.181 * [taylor]: Taking taylor expansion of 1/2 in b 15.181 * [backup-simplify]: Simplify 1/2 into 1/2 15.181 * [taylor]: Taking taylor expansion of PI in b 15.181 * [backup-simplify]: Simplify PI into PI 15.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.183 * [backup-simplify]: Simplify (- 0) into 0 15.183 * [backup-simplify]: Simplify 0 into 0 15.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.185 * [backup-simplify]: Simplify 0 into 0 15.186 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 15.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 15.189 * [backup-simplify]: Simplify (+ 0 0) into 0 15.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 15.190 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (* 1/2 (/ PI b)) 15.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 15.190 * [taylor]: Taking taylor expansion of 1/2 in b 15.190 * [backup-simplify]: Simplify 1/2 into 1/2 15.190 * [taylor]: Taking taylor expansion of (/ PI b) in b 15.190 * [taylor]: Taking taylor expansion of PI in b 15.190 * [backup-simplify]: Simplify PI into PI 15.190 * [taylor]: Taking taylor expansion of b in b 15.190 * [backup-simplify]: Simplify 0 into 0 15.190 * [backup-simplify]: Simplify 1 into 1 15.190 * [backup-simplify]: Simplify (/ PI 1) into PI 15.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.193 * [backup-simplify]: Simplify 0 into 0 15.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.194 * [backup-simplify]: Simplify (- 0) into 0 15.194 * [backup-simplify]: Simplify 0 into 0 15.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 15.196 * [backup-simplify]: Simplify 0 into 0 15.196 * [backup-simplify]: Simplify 0 into 0 15.196 * [backup-simplify]: Simplify (/ (* (/ (/ PI (/ 1 (- a))) (/ 1 (- b))) 1/2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) 15.196 * [approximate]: Taking taylor expansion of (* -1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 15.196 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 15.196 * [taylor]: Taking taylor expansion of -1/2 in b 15.196 * [backup-simplify]: Simplify -1/2 into -1/2 15.196 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 15.196 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 15.196 * [taylor]: Taking taylor expansion of a in b 15.196 * [backup-simplify]: Simplify a into a 15.196 * [taylor]: Taking taylor expansion of (* b PI) in b 15.196 * [taylor]: Taking taylor expansion of b in b 15.196 * [backup-simplify]: Simplify 0 into 0 15.196 * [backup-simplify]: Simplify 1 into 1 15.196 * [taylor]: Taking taylor expansion of PI in b 15.196 * [backup-simplify]: Simplify PI into PI 15.196 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 15.196 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.196 * [taylor]: Taking taylor expansion of a in b 15.196 * [backup-simplify]: Simplify a into a 15.196 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.196 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.196 * [taylor]: Taking taylor expansion of b in b 15.196 * [backup-simplify]: Simplify 0 into 0 15.196 * [backup-simplify]: Simplify 1 into 1 15.196 * [backup-simplify]: Simplify (/ 1 1) into 1 15.197 * [backup-simplify]: Simplify (* 0 PI) into 0 15.197 * [backup-simplify]: Simplify (* a 0) into 0 15.198 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.198 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 15.198 * [backup-simplify]: Simplify (+ 0 1) into 1 15.198 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 15.198 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 15.198 * [taylor]: Taking taylor expansion of -1/2 in a 15.198 * [backup-simplify]: Simplify -1/2 into -1/2 15.198 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 15.198 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 15.198 * [taylor]: Taking taylor expansion of a in a 15.198 * [backup-simplify]: Simplify 0 into 0 15.198 * [backup-simplify]: Simplify 1 into 1 15.198 * [taylor]: Taking taylor expansion of (* b PI) in a 15.198 * [taylor]: Taking taylor expansion of b in a 15.199 * [backup-simplify]: Simplify b into b 15.199 * [taylor]: Taking taylor expansion of PI in a 15.199 * [backup-simplify]: Simplify PI into PI 15.199 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 15.199 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.199 * [taylor]: Taking taylor expansion of a in a 15.199 * [backup-simplify]: Simplify 0 into 0 15.199 * [backup-simplify]: Simplify 1 into 1 15.199 * [backup-simplify]: Simplify (/ 1 1) into 1 15.199 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.199 * [taylor]: Taking taylor expansion of b in a 15.199 * [backup-simplify]: Simplify b into b 15.199 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.199 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.199 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 15.199 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 15.200 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 15.200 * [backup-simplify]: Simplify (+ 1 0) into 1 15.200 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 15.200 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 15.200 * [taylor]: Taking taylor expansion of -1/2 in a 15.200 * [backup-simplify]: Simplify -1/2 into -1/2 15.200 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 15.200 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 15.200 * [taylor]: Taking taylor expansion of a in a 15.200 * [backup-simplify]: Simplify 0 into 0 15.200 * [backup-simplify]: Simplify 1 into 1 15.200 * [taylor]: Taking taylor expansion of (* b PI) in a 15.200 * [taylor]: Taking taylor expansion of b in a 15.200 * [backup-simplify]: Simplify b into b 15.200 * [taylor]: Taking taylor expansion of PI in a 15.200 * [backup-simplify]: Simplify PI into PI 15.200 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 15.200 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.200 * [taylor]: Taking taylor expansion of a in a 15.200 * [backup-simplify]: Simplify 0 into 0 15.200 * [backup-simplify]: Simplify 1 into 1 15.200 * [backup-simplify]: Simplify (/ 1 1) into 1 15.201 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.201 * [taylor]: Taking taylor expansion of b in a 15.201 * [backup-simplify]: Simplify b into b 15.201 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.201 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.201 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 15.201 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 15.201 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 15.202 * [backup-simplify]: Simplify (+ 1 0) into 1 15.202 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 15.202 * [backup-simplify]: Simplify (* -1/2 (* b PI)) into (* -1/2 (* b PI)) 15.202 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 15.202 * [taylor]: Taking taylor expansion of -1/2 in b 15.202 * [backup-simplify]: Simplify -1/2 into -1/2 15.202 * [taylor]: Taking taylor expansion of (* b PI) in b 15.202 * [taylor]: Taking taylor expansion of b in b 15.202 * [backup-simplify]: Simplify 0 into 0 15.202 * [backup-simplify]: Simplify 1 into 1 15.202 * [taylor]: Taking taylor expansion of PI in b 15.202 * [backup-simplify]: Simplify PI into PI 15.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.203 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.204 * [backup-simplify]: Simplify (* 0 PI) into 0 15.204 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.204 * [backup-simplify]: Simplify 0 into 0 15.205 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 15.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 15.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.206 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 15.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ (/ 1 b) 1)))) into (- PI) 15.207 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* b PI))) into (* 1/2 PI) 15.207 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 15.207 * [taylor]: Taking taylor expansion of 1/2 in b 15.207 * [backup-simplify]: Simplify 1/2 into 1/2 15.207 * [taylor]: Taking taylor expansion of PI in b 15.207 * [backup-simplify]: Simplify PI into PI 15.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.207 * [backup-simplify]: Simplify 0 into 0 15.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.209 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.209 * [backup-simplify]: Simplify 0 into 0 15.209 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 15.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 15.211 * [backup-simplify]: Simplify (+ 0 0) into 0 15.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 15.212 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (- (* 1/2 (/ PI b))) 15.212 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 15.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 15.212 * [taylor]: Taking taylor expansion of 1/2 in b 15.212 * [backup-simplify]: Simplify 1/2 into 1/2 15.212 * [taylor]: Taking taylor expansion of (/ PI b) in b 15.212 * [taylor]: Taking taylor expansion of PI in b 15.213 * [backup-simplify]: Simplify PI into PI 15.213 * [taylor]: Taking taylor expansion of b in b 15.213 * [backup-simplify]: Simplify 0 into 0 15.213 * [backup-simplify]: Simplify 1 into 1 15.213 * [backup-simplify]: Simplify (/ PI 1) into PI 15.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.218 * [backup-simplify]: Simplify (- 0) into 0 15.218 * [backup-simplify]: Simplify 0 into 0 15.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.219 * [backup-simplify]: Simplify 0 into 0 15.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.222 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 15.222 * [backup-simplify]: Simplify 0 into 0 15.222 * [backup-simplify]: Simplify 0 into 0 15.222 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 15.222 * [backup-simplify]: Simplify (* (/ (/ PI a) b) 1/2) into (* 1/2 (/ PI (* a b))) 15.222 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a b))) in (a b) around 0 15.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a b))) in b 15.222 * [taylor]: Taking taylor expansion of 1/2 in b 15.222 * [backup-simplify]: Simplify 1/2 into 1/2 15.222 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in b 15.222 * [taylor]: Taking taylor expansion of PI in b 15.222 * [backup-simplify]: Simplify PI into PI 15.222 * [taylor]: Taking taylor expansion of (* a b) in b 15.222 * [taylor]: Taking taylor expansion of a in b 15.222 * [backup-simplify]: Simplify a into a 15.222 * [taylor]: Taking taylor expansion of b in b 15.222 * [backup-simplify]: Simplify 0 into 0 15.222 * [backup-simplify]: Simplify 1 into 1 15.222 * [backup-simplify]: Simplify (* a 0) into 0 15.223 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 15.223 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 15.223 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a b))) in a 15.223 * [taylor]: Taking taylor expansion of 1/2 in a 15.223 * [backup-simplify]: Simplify 1/2 into 1/2 15.223 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in a 15.223 * [taylor]: Taking taylor expansion of PI in a 15.223 * [backup-simplify]: Simplify PI into PI 15.223 * [taylor]: Taking taylor expansion of (* a b) in a 15.223 * [taylor]: Taking taylor expansion of a in a 15.223 * [backup-simplify]: Simplify 0 into 0 15.223 * [backup-simplify]: Simplify 1 into 1 15.223 * [taylor]: Taking taylor expansion of b in a 15.223 * [backup-simplify]: Simplify b into b 15.223 * [backup-simplify]: Simplify (* 0 b) into 0 15.224 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 15.224 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 15.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a b))) in a 15.224 * [taylor]: Taking taylor expansion of 1/2 in a 15.224 * [backup-simplify]: Simplify 1/2 into 1/2 15.224 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in a 15.224 * [taylor]: Taking taylor expansion of PI in a 15.224 * [backup-simplify]: Simplify PI into PI 15.224 * [taylor]: Taking taylor expansion of (* a b) in a 15.224 * [taylor]: Taking taylor expansion of a in a 15.224 * [backup-simplify]: Simplify 0 into 0 15.224 * [backup-simplify]: Simplify 1 into 1 15.224 * [taylor]: Taking taylor expansion of b in a 15.224 * [backup-simplify]: Simplify b into b 15.224 * [backup-simplify]: Simplify (* 0 b) into 0 15.224 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 15.224 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 15.225 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 15.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 15.225 * [taylor]: Taking taylor expansion of 1/2 in b 15.225 * [backup-simplify]: Simplify 1/2 into 1/2 15.225 * [taylor]: Taking taylor expansion of (/ PI b) in b 15.225 * [taylor]: Taking taylor expansion of PI in b 15.225 * [backup-simplify]: Simplify PI into PI 15.225 * [taylor]: Taking taylor expansion of b in b 15.225 * [backup-simplify]: Simplify 0 into 0 15.225 * [backup-simplify]: Simplify 1 into 1 15.225 * [backup-simplify]: Simplify (/ PI 1) into PI 15.226 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.226 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 15.227 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 15.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI b))) into 0 15.228 * [taylor]: Taking taylor expansion of 0 in b 15.228 * [backup-simplify]: Simplify 0 into 0 15.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 15.229 * [backup-simplify]: Simplify 0 into 0 15.230 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 15.230 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 15.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ PI b)))) into 0 15.231 * [taylor]: Taking taylor expansion of 0 in b 15.231 * [backup-simplify]: Simplify 0 into 0 15.231 * [backup-simplify]: Simplify 0 into 0 15.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.232 * [backup-simplify]: Simplify 0 into 0 15.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 15.233 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 15.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI b))))) into 0 15.234 * [taylor]: Taking taylor expansion of 0 in b 15.234 * [backup-simplify]: Simplify 0 into 0 15.234 * [backup-simplify]: Simplify 0 into 0 15.234 * [backup-simplify]: Simplify 0 into 0 15.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.239 * [backup-simplify]: Simplify 0 into 0 15.240 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 15.240 * [backup-simplify]: Simplify (* (/ (/ PI (/ 1 a)) (/ 1 b)) 1/2) into (* 1/2 (* a (* PI b))) 15.240 * [approximate]: Taking taylor expansion of (* 1/2 (* a (* PI b))) in (a b) around 0 15.240 * [taylor]: Taking taylor expansion of (* 1/2 (* a (* PI b))) in b 15.240 * [taylor]: Taking taylor expansion of 1/2 in b 15.240 * [backup-simplify]: Simplify 1/2 into 1/2 15.240 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 15.240 * [taylor]: Taking taylor expansion of a in b 15.240 * [backup-simplify]: Simplify a into a 15.240 * [taylor]: Taking taylor expansion of (* PI b) in b 15.240 * [taylor]: Taking taylor expansion of PI in b 15.240 * [backup-simplify]: Simplify PI into PI 15.240 * [taylor]: Taking taylor expansion of b in b 15.240 * [backup-simplify]: Simplify 0 into 0 15.240 * [backup-simplify]: Simplify 1 into 1 15.240 * [taylor]: Taking taylor expansion of (* 1/2 (* a (* PI b))) in a 15.240 * [taylor]: Taking taylor expansion of 1/2 in a 15.241 * [backup-simplify]: Simplify 1/2 into 1/2 15.241 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 15.241 * [taylor]: Taking taylor expansion of a in a 15.241 * [backup-simplify]: Simplify 0 into 0 15.241 * [backup-simplify]: Simplify 1 into 1 15.241 * [taylor]: Taking taylor expansion of (* PI b) in a 15.241 * [taylor]: Taking taylor expansion of PI in a 15.241 * [backup-simplify]: Simplify PI into PI 15.241 * [taylor]: Taking taylor expansion of b in a 15.241 * [backup-simplify]: Simplify b into b 15.241 * [taylor]: Taking taylor expansion of (* 1/2 (* a (* PI b))) in a 15.241 * [taylor]: Taking taylor expansion of 1/2 in a 15.241 * [backup-simplify]: Simplify 1/2 into 1/2 15.241 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 15.241 * [taylor]: Taking taylor expansion of a in a 15.241 * [backup-simplify]: Simplify 0 into 0 15.241 * [backup-simplify]: Simplify 1 into 1 15.241 * [taylor]: Taking taylor expansion of (* PI b) in a 15.241 * [taylor]: Taking taylor expansion of PI in a 15.241 * [backup-simplify]: Simplify PI into PI 15.241 * [taylor]: Taking taylor expansion of b in a 15.241 * [backup-simplify]: Simplify b into b 15.241 * [backup-simplify]: Simplify (* PI b) into (* b PI) 15.241 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 15.241 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.241 * [taylor]: Taking taylor expansion of 0 in b 15.241 * [backup-simplify]: Simplify 0 into 0 15.241 * [backup-simplify]: Simplify 0 into 0 15.242 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 15.242 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 15.242 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) (* 0 0)) into (* 1/2 (* PI b)) 15.242 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 15.242 * [taylor]: Taking taylor expansion of 1/2 in b 15.242 * [backup-simplify]: Simplify 1/2 into 1/2 15.242 * [taylor]: Taking taylor expansion of (* PI b) in b 15.242 * [taylor]: Taking taylor expansion of PI in b 15.242 * [backup-simplify]: Simplify PI into PI 15.242 * [taylor]: Taking taylor expansion of b in b 15.242 * [backup-simplify]: Simplify 0 into 0 15.242 * [backup-simplify]: Simplify 1 into 1 15.243 * [backup-simplify]: Simplify (* PI 0) into 0 15.243 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.243 * [backup-simplify]: Simplify 0 into 0 15.243 * [backup-simplify]: Simplify 0 into 0 15.244 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 15.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* b PI)))) into 0 15.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (* PI b)) (* 0 0))) into 0 15.245 * [taylor]: Taking taylor expansion of 0 in b 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [backup-simplify]: Simplify 0 into 0 15.246 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 15.247 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 15.247 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.248 * [backup-simplify]: Simplify 0 into 0 15.248 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 15.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* b PI))))) into 0 15.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (* PI b)) (* 0 0)))) into 0 15.250 * [taylor]: Taking taylor expansion of 0 in b 15.250 * [backup-simplify]: Simplify 0 into 0 15.250 * [backup-simplify]: Simplify 0 into 0 15.250 * [backup-simplify]: Simplify 0 into 0 15.250 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 15.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.251 * [backup-simplify]: Simplify 0 into 0 15.251 * [backup-simplify]: Simplify 0 into 0 15.252 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 15.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* b PI)))))) into 0 15.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* PI b)) (* 0 0))))) into 0 15.254 * [taylor]: Taking taylor expansion of 0 in b 15.254 * [backup-simplify]: Simplify 0 into 0 15.254 * [backup-simplify]: Simplify 0 into 0 15.254 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 15.255 * [backup-simplify]: Simplify (* (/ (/ PI (/ 1 (- a))) (/ 1 (- b))) 1/2) into (* 1/2 (* a (* PI b))) 15.255 * [approximate]: Taking taylor expansion of (* 1/2 (* a (* PI b))) in (a b) around 0 15.255 * [taylor]: Taking taylor expansion of (* 1/2 (* a (* PI b))) in b 15.255 * [taylor]: Taking taylor expansion of 1/2 in b 15.255 * [backup-simplify]: Simplify 1/2 into 1/2 15.255 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 15.255 * [taylor]: Taking taylor expansion of a in b 15.255 * [backup-simplify]: Simplify a into a 15.255 * [taylor]: Taking taylor expansion of (* PI b) in b 15.255 * [taylor]: Taking taylor expansion of PI in b 15.255 * [backup-simplify]: Simplify PI into PI 15.255 * [taylor]: Taking taylor expansion of b in b 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify 1 into 1 15.255 * [taylor]: Taking taylor expansion of (* 1/2 (* a (* PI b))) in a 15.255 * [taylor]: Taking taylor expansion of 1/2 in a 15.255 * [backup-simplify]: Simplify 1/2 into 1/2 15.255 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 15.255 * [taylor]: Taking taylor expansion of a in a 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify 1 into 1 15.255 * [taylor]: Taking taylor expansion of (* PI b) in a 15.255 * [taylor]: Taking taylor expansion of PI in a 15.255 * [backup-simplify]: Simplify PI into PI 15.255 * [taylor]: Taking taylor expansion of b in a 15.255 * [backup-simplify]: Simplify b into b 15.255 * [taylor]: Taking taylor expansion of (* 1/2 (* a (* PI b))) in a 15.255 * [taylor]: Taking taylor expansion of 1/2 in a 15.255 * [backup-simplify]: Simplify 1/2 into 1/2 15.255 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 15.255 * [taylor]: Taking taylor expansion of a in a 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify 1 into 1 15.255 * [taylor]: Taking taylor expansion of (* PI b) in a 15.255 * [taylor]: Taking taylor expansion of PI in a 15.255 * [backup-simplify]: Simplify PI into PI 15.255 * [taylor]: Taking taylor expansion of b in a 15.255 * [backup-simplify]: Simplify b into b 15.255 * [backup-simplify]: Simplify (* PI b) into (* b PI) 15.255 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 15.256 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.256 * [taylor]: Taking taylor expansion of 0 in b 15.256 * [backup-simplify]: Simplify 0 into 0 15.256 * [backup-simplify]: Simplify 0 into 0 15.256 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 15.256 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 15.257 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) (* 0 0)) into (* 1/2 (* PI b)) 15.257 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 15.257 * [taylor]: Taking taylor expansion of 1/2 in b 15.257 * [backup-simplify]: Simplify 1/2 into 1/2 15.257 * [taylor]: Taking taylor expansion of (* PI b) in b 15.257 * [taylor]: Taking taylor expansion of PI in b 15.257 * [backup-simplify]: Simplify PI into PI 15.257 * [taylor]: Taking taylor expansion of b in b 15.257 * [backup-simplify]: Simplify 0 into 0 15.257 * [backup-simplify]: Simplify 1 into 1 15.258 * [backup-simplify]: Simplify (* PI 0) into 0 15.258 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.258 * [backup-simplify]: Simplify 0 into 0 15.258 * [backup-simplify]: Simplify 0 into 0 15.259 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 15.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* b PI)))) into 0 15.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (* PI b)) (* 0 0))) into 0 15.261 * [taylor]: Taking taylor expansion of 0 in b 15.261 * [backup-simplify]: Simplify 0 into 0 15.261 * [backup-simplify]: Simplify 0 into 0 15.263 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 15.264 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 15.265 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.265 * [backup-simplify]: Simplify 0 into 0 15.266 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 15.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* b PI))))) into 0 15.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (* PI b)) (* 0 0)))) into 0 15.269 * [taylor]: Taking taylor expansion of 0 in b 15.269 * [backup-simplify]: Simplify 0 into 0 15.269 * [backup-simplify]: Simplify 0 into 0 15.269 * [backup-simplify]: Simplify 0 into 0 15.270 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 15.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.271 * [backup-simplify]: Simplify 0 into 0 15.271 * [backup-simplify]: Simplify 0 into 0 15.273 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 15.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* b PI)))))) into 0 15.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* PI b)) (* 0 0))))) into 0 15.275 * [taylor]: Taking taylor expansion of 0 in b 15.275 * [backup-simplify]: Simplify 0 into 0 15.275 * [backup-simplify]: Simplify 0 into 0 15.275 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* 1/2 (/ PI (* a b))) 15.275 * * * [progress]: simplifying candidates 15.275 * * * * [progress]: [ 1 / 208 ] simplifiying candidate # 15.275 * * * * [progress]: [ 2 / 208 ] simplifiying candidate # 15.275 * * * * [progress]: [ 3 / 208 ] simplifiying candidate # 15.275 * * * * [progress]: [ 4 / 208 ] simplifiying candidate # 15.275 * * * * [progress]: [ 5 / 208 ] simplifiying candidate # 15.275 * * * * [progress]: [ 6 / 208 ] simplifiying candidate # 15.275 * * * * [progress]: [ 7 / 208 ] simplifiying candidate # 15.275 * * * * [progress]: [ 8 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 9 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 10 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 11 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 12 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 13 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 14 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 15 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 16 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 17 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 18 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 19 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 20 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 21 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 22 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 23 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 24 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 25 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 26 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 27 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 28 / 208 ] simplifiying candidate #real (real->posit16 (/ PI a))) b) 1/2) (+ a b)))> 15.276 * * * * [progress]: [ 29 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 30 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 31 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 32 / 208 ] simplifiying candidate # 15.276 * * * * [progress]: [ 33 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 34 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 35 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 36 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 37 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 38 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 39 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 40 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 41 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 42 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 43 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 44 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 45 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 46 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 47 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 48 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 49 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 50 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 51 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 52 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 53 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 54 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 55 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 56 / 208 ] simplifiying candidate # 15.277 * * * * [progress]: [ 57 / 208 ] simplifiying candidate # 15.278 * * * * [progress]: [ 58 / 208 ] simplifiying candidate # 15.278 * * * * [progress]: [ 59 / 208 ] simplifiying candidate # 15.278 * * * * [progress]: [ 60 / 208 ] simplifiying candidate # 15.278 * * * * [progress]: [ 61 / 208 ] simplifiying candidate # 15.278 * * * * [progress]: [ 62 / 208 ] simplifiying candidate # 15.278 * * * * [progress]: [ 63 / 208 ] simplifiying candidate # 15.278 * * * * [progress]: [ 64 / 208 ] simplifiying candidate # 15.278 * * * * 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208 ] simplifiying candidate # 15.283 * * * * [progress]: [ 200 / 208 ] simplifiying candidate # 15.283 * * * * [progress]: [ 201 / 208 ] simplifiying candidate # 15.283 * * * * [progress]: [ 202 / 208 ] simplifiying candidate # 15.283 * * * * [progress]: [ 203 / 208 ] simplifiying candidate # 15.283 * * * * [progress]: [ 204 / 208 ] simplifiying candidate # 15.283 * * * * [progress]: [ 205 / 208 ] simplifiying candidate # 15.283 * * * * [progress]: [ 206 / 208 ] simplifiying candidate # 15.283 * * * * [progress]: [ 207 / 208 ] simplifiying candidate # 15.283 * * * * [progress]: [ 208 / 208 ] simplifiying candidate # 15.285 * [simplify]: Simplifying: (- (log PI) (log a)) (log (/ PI a)) (exp (/ PI a)) (/ (* (* PI PI) PI) (* (* a a) a)) (* (cbrt (/ PI a)) (cbrt (/ PI a))) (cbrt (/ PI a)) (* (* (/ PI a) (/ PI a)) (/ PI a)) (sqrt (/ PI a)) (sqrt (/ PI a)) (- PI) (- a) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt a) (cbrt a))) (/ (cbrt PI) (cbrt a)) (/ (* (cbrt PI) (cbrt PI)) (sqrt a)) (/ (cbrt PI) (sqrt a)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) a) (/ (sqrt PI) (* (cbrt a) (cbrt a))) (/ (sqrt PI) (cbrt a)) (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) 1) (/ (sqrt PI) a) (/ 1 (* (cbrt a) (cbrt a))) (/ PI (cbrt a)) (/ 1 (sqrt a)) (/ PI (sqrt a)) (/ 1 1) (/ PI a) (/ 1 a) (/ a PI) (/ PI (* (cbrt a) (cbrt a))) (/ PI (sqrt a)) (/ PI 1) (/ a (cbrt PI)) (/ a (sqrt PI)) (/ a PI) (real->posit16 (/ PI a)) (- (- (log PI) (log a)) (log b)) (- (log (/ PI a)) (log b)) (log (/ (/ PI a) b)) (exp (/ (/ PI a) b)) (/ (/ (* (* PI PI) PI) (* (* a a) a)) (* (* b b) b)) (/ (* (* (/ PI a) (/ PI a)) (/ PI a)) (* (* b b) b)) (* (cbrt (/ (/ PI a) b)) (cbrt (/ (/ PI a) b))) (cbrt (/ (/ PI a) b)) (* (* (/ (/ PI a) b) (/ (/ PI a) b)) (/ (/ PI a) b)) (sqrt (/ (/ PI a) b)) (sqrt (/ (/ PI a) b)) (- (/ PI a)) (- b) (/ (* (cbrt (/ PI a)) (cbrt (/ PI a))) (* (cbrt b) (cbrt b))) (/ (cbrt (/ PI a)) (cbrt b)) (/ (* (cbrt (/ PI a)) (cbrt (/ PI a))) (sqrt b)) (/ (cbrt (/ PI a)) (sqrt b)) (/ (* (cbrt (/ PI a)) (cbrt (/ PI a))) 1) (/ (cbrt (/ PI a)) b) (/ (sqrt (/ PI a)) (* (cbrt b) (cbrt b))) (/ (sqrt (/ PI a)) (cbrt b)) (/ (sqrt (/ PI a)) (sqrt b)) (/ (sqrt (/ PI a)) (sqrt b)) (/ (sqrt (/ PI a)) 1) (/ (sqrt (/ PI a)) b) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt a) (cbrt a))) (* (cbrt b) (cbrt b))) (/ (/ (cbrt PI) (cbrt a)) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt a) (cbrt a))) (sqrt b)) (/ (/ (cbrt PI) (cbrt a)) (sqrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt a) (cbrt a))) 1) (/ (/ (cbrt PI) (cbrt a)) b) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt a)) (* (cbrt b) (cbrt b))) (/ (/ (cbrt PI) (sqrt a)) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt a)) (sqrt b)) (/ (/ (cbrt PI) (sqrt a)) (sqrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt a)) 1) (/ (/ (cbrt PI) (sqrt a)) b) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (* (cbrt b) (cbrt b))) (/ (/ (cbrt PI) a) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (sqrt b)) (/ (/ (cbrt PI) a) (sqrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) 1) (/ (/ (cbrt PI) a) b) (/ (/ (sqrt PI) (* (cbrt a) (cbrt a))) (* (cbrt b) (cbrt b))) (/ (/ (sqrt PI) (cbrt a)) (cbrt b)) (/ (/ (sqrt PI) (* (cbrt a) (cbrt a))) (sqrt b)) (/ (/ (sqrt PI) (cbrt a)) (sqrt b)) (/ (/ (sqrt PI) (* (cbrt a) (cbrt a))) 1) (/ (/ (sqrt PI) (cbrt a)) b) (/ (/ (sqrt PI) (sqrt a)) (* (cbrt b) (cbrt b))) (/ (/ (sqrt PI) (sqrt a)) (cbrt b)) (/ (/ (sqrt PI) (sqrt a)) (sqrt b)) (/ (/ (sqrt PI) (sqrt a)) (sqrt b)) (/ (/ (sqrt PI) (sqrt a)) 1) (/ (/ (sqrt PI) (sqrt a)) b) (/ (/ (sqrt PI) 1) (* (cbrt b) (cbrt b))) (/ (/ (sqrt PI) a) (cbrt b)) (/ (/ (sqrt PI) 1) (sqrt b)) (/ (/ (sqrt PI) a) (sqrt b)) (/ (/ (sqrt PI) 1) 1) (/ (/ (sqrt PI) a) b) (/ (/ 1 (* (cbrt a) (cbrt a))) (* (cbrt b) (cbrt b))) (/ (/ PI (cbrt a)) (cbrt b)) (/ (/ 1 (* (cbrt a) (cbrt a))) (sqrt b)) (/ (/ PI (cbrt a)) (sqrt b)) (/ (/ 1 (* (cbrt a) (cbrt a))) 1) (/ (/ PI (cbrt a)) b) (/ (/ 1 (sqrt a)) (* (cbrt b) (cbrt b))) (/ (/ PI (sqrt a)) (cbrt b)) (/ (/ 1 (sqrt a)) (sqrt b)) (/ (/ PI (sqrt a)) (sqrt b)) (/ (/ 1 (sqrt a)) 1) (/ (/ PI (sqrt a)) b) (/ (/ 1 1) (* (cbrt b) (cbrt b))) (/ (/ PI a) (cbrt b)) (/ (/ 1 1) (sqrt b)) (/ (/ PI a) (sqrt b)) (/ (/ 1 1) 1) (/ (/ PI a) b) (/ 1 (* (cbrt b) (cbrt b))) (/ (/ PI a) (cbrt b)) (/ 1 (sqrt b)) (/ (/ PI a) (sqrt b)) (/ 1 1) (/ (/ PI a) b) (/ PI (* (cbrt b) (cbrt b))) (/ (/ 1 a) (cbrt b)) (/ PI (sqrt b)) (/ (/ 1 a) (sqrt b)) (/ PI 1) (/ (/ 1 a) b) (/ 1 b) (/ b (/ PI a)) (/ (/ PI a) (* (cbrt b) (cbrt b))) (/ (/ PI a) (sqrt b)) (/ (/ PI a) 1) (/ b (cbrt (/ PI a))) (/ b (sqrt (/ PI a))) (/ b (/ (cbrt PI) (cbrt a))) (/ b (/ (cbrt PI) (sqrt a))) (/ b (/ (cbrt PI) a)) (/ b (/ (sqrt PI) (cbrt a))) (/ b (/ (sqrt PI) (sqrt a))) (/ b (/ (sqrt PI) a)) (/ b (/ PI (cbrt a))) (/ b (/ PI (sqrt a))) (/ b (/ PI a)) (/ b (/ PI a)) (/ b (/ 1 a)) (* b a) (real->posit16 (/ (/ PI a) b)) (- (+ (- (- (log PI) (log a)) (log b)) (log 1/2)) (log (+ a b))) (- (+ (- (log (/ PI a)) (log b)) (log 1/2)) (log (+ a b))) (- (+ (log (/ (/ PI a) b)) (log 1/2)) (log (+ a b))) (- (log (* (/ (/ PI a) b) 1/2)) (log (+ a b))) (log (/ (* (/ (/ PI a) b) 1/2) (+ a b))) (exp (/ (* (/ (/ PI a) b) 1/2) (+ a b))) (/ (* (/ (/ (* (* PI PI) PI) (* (* a a) a)) (* (* b b) b)) (* (* 1/2 1/2) 1/2)) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (/ (* (* (/ PI a) (/ PI a)) (/ PI a)) (* (* b b) b)) (* (* 1/2 1/2) 1/2)) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* (* (/ (/ PI a) b) (/ (/ PI a) b)) (/ (/ PI a) b)) (* (* 1/2 1/2) 1/2)) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* (* (/ (/ PI a) b) 1/2) (* (/ (/ PI a) b) 1/2)) (* (/ (/ PI a) b) 1/2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ (* (/ (/ PI a) b) 1/2) (+ a b))) (cbrt (/ (* (/ (/ PI a) b) 1/2) (+ a b)))) (cbrt (/ (* (/ (/ PI a) b) 1/2) (+ a b))) (* (* (/ (* (/ (/ PI a) b) 1/2) (+ a b)) (/ (* (/ (/ PI a) b) 1/2) (+ a b))) (/ (* (/ (/ PI a) b) 1/2) (+ a b))) (sqrt (/ (* (/ (/ PI a) b) 1/2) (+ a b))) (sqrt (/ (* (/ (/ PI a) b) 1/2) (+ a b))) (- (* (/ (/ PI a) b) 1/2)) (- (+ a b)) (/ (/ (/ PI a) b) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ 1/2 (cbrt (+ a b))) (/ (/ (/ PI a) b) (sqrt (+ a b))) (/ 1/2 (sqrt (+ a b))) (/ (/ (/ PI a) b) 1) (/ 1/2 (+ a b)) (/ (/ (/ PI a) b) 1) (/ 1/2 (+ a b)) (/ 1 (+ a b)) (/ (+ a b) (* (/ (/ PI a) b) 1/2)) (/ (* (/ (/ PI a) b) 1/2) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (* (/ (/ PI a) b) 1/2) (sqrt (+ a b))) (/ (* (/ (/ PI a) b) 1/2) 1) (/ (* (/ (/ PI a) b) 1/2) 1) (/ (+ a b) 1/2) (/ (* (/ (/ PI a) b) 1/2) (+ (pow a 3) (pow b 3))) (/ (* (/ (/ PI a) b) 1/2) (- (* a a) (* b b))) (* (+ a b) b) (real->posit16 (/ (* (/ (/ PI a) b) 1/2) (+ a b))) (* (/ (/ PI a) b) 1/2) (+ (- (- (log PI) (log a)) (log b)) (log 1/2)) (+ (- (log (/ PI a)) (log b)) (log 1/2)) (+ (log (/ (/ PI a) b)) (log 1/2)) (log (* (/ (/ PI a) b) 1/2)) (exp (* (/ (/ PI a) b) 1/2)) (* (/ (/ (* (* PI PI) PI) (* (* a a) a)) (* (* b b) b)) (* (* 1/2 1/2) 1/2)) (* (/ (* (* (/ PI a) (/ PI a)) (/ PI a)) (* (* b b) b)) (* (* 1/2 1/2) 1/2)) (* (* (* (/ (/ PI a) b) (/ (/ PI a) b)) (/ (/ PI a) b)) (* (* 1/2 1/2) 1/2)) (* (cbrt (* (/ (/ PI a) b) 1/2)) (cbrt (* (/ (/ PI a) b) 1/2))) (cbrt (* (/ (/ PI a) b) 1/2)) (* (* (* (/ (/ PI a) b) 1/2) (* (/ (/ PI a) b) 1/2)) (* (/ (/ PI a) b) 1/2)) (sqrt (* (/ (/ PI a) b) 1/2)) (sqrt (* (/ (/ PI a) b) 1/2)) (* (sqrt (/ (/ PI a) b)) (sqrt 1/2)) (* (sqrt (/ (/ PI a) b)) (sqrt 1/2)) (* (/ (sqrt (/ PI a)) (sqrt b)) (sqrt 1/2)) (* (/ (sqrt (/ PI a)) (sqrt b)) (sqrt 1/2)) (* (/ (/ (sqrt PI) (sqrt a)) (sqrt b)) (sqrt 1/2)) (* (/ (/ (sqrt PI) (sqrt a)) (sqrt b)) (sqrt 1/2)) (* (/ (/ PI a) b) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (/ PI a) b) (sqrt 1/2)) (* (/ (/ PI a) b) 1) (* (cbrt (/ (/ PI a) b)) 1/2) (* (sqrt (/ (/ PI a) b)) 1/2) (* (/ (cbrt (/ PI a)) (cbrt b)) 1/2) (* (/ (cbrt (/ PI a)) (sqrt b)) 1/2) (* (/ (cbrt (/ PI a)) b) 1/2) (* (/ (sqrt (/ PI a)) (cbrt b)) 1/2) (* (/ (sqrt (/ PI a)) (sqrt b)) 1/2) (* (/ (sqrt (/ PI a)) b) 1/2) (* (/ (/ (cbrt PI) (cbrt a)) (cbrt b)) 1/2) (* (/ (/ (cbrt PI) (cbrt a)) (sqrt b)) 1/2) (* (/ (/ (cbrt PI) (cbrt a)) b) 1/2) (* (/ (/ (cbrt PI) (sqrt a)) (cbrt b)) 1/2) (* (/ (/ (cbrt PI) (sqrt a)) (sqrt b)) 1/2) (* (/ (/ (cbrt PI) (sqrt a)) b) 1/2) (* (/ (/ (cbrt PI) a) (cbrt b)) 1/2) (* (/ (/ (cbrt PI) a) (sqrt b)) 1/2) (* (/ (/ (cbrt PI) a) b) 1/2) (* (/ (/ (sqrt PI) (cbrt a)) (cbrt b)) 1/2) (* (/ (/ (sqrt PI) (cbrt a)) (sqrt b)) 1/2) (* (/ (/ (sqrt PI) (cbrt a)) b) 1/2) (* (/ (/ (sqrt PI) (sqrt a)) (cbrt b)) 1/2) (* (/ (/ (sqrt PI) (sqrt a)) (sqrt b)) 1/2) (* (/ (/ (sqrt PI) (sqrt a)) b) 1/2) (* (/ (/ (sqrt PI) a) (cbrt b)) 1/2) (* (/ (/ (sqrt PI) a) (sqrt b)) 1/2) (* (/ (/ (sqrt PI) a) b) 1/2) (* (/ (/ PI (cbrt a)) (cbrt b)) 1/2) (* (/ (/ PI (cbrt a)) (sqrt b)) 1/2) (* (/ (/ PI (cbrt a)) b) 1/2) (* (/ (/ PI (sqrt a)) (cbrt b)) 1/2) (* (/ (/ PI (sqrt a)) (sqrt b)) 1/2) (* (/ (/ PI (sqrt a)) b) 1/2) (* (/ (/ PI a) (cbrt b)) 1/2) (* (/ (/ PI a) (sqrt b)) 1/2) (* (/ (/ PI a) b) 1/2) (* (/ (/ PI a) (cbrt b)) 1/2) (* (/ (/ PI a) (sqrt b)) 1/2) (* (/ (/ PI a) b) 1/2) (* (/ (/ 1 a) (cbrt b)) 1/2) (* (/ (/ 1 a) (sqrt b)) 1/2) (* (/ (/ 1 a) b) 1/2) (* (/ (/ PI a) b) 1/2) (* (/ 1 b) 1/2) (* (/ PI a) 1/2) (real->posit16 (* (/ (/ PI a) b) 1/2)) (/ PI a) (/ PI a) (/ PI a) (/ PI (* a b)) (/ PI (* a b)) (/ PI (* a b)) 0 0 0 (* 1/2 (/ PI (* a b))) (* 1/2 (/ PI (* a b))) (* 1/2 (/ PI (* a b))) 15.288 * * [simplify]: iteration 1: (275 enodes) 15.381 * * [simplify]: iteration 2: (1165 enodes) 15.828 * * [simplify]: Extracting #0: cost 191 inf + 0 15.831 * * [simplify]: Extracting #1: cost 801 inf + 85 15.846 * * [simplify]: Extracting #2: cost 926 inf + 17485 15.875 * * [simplify]: Extracting #3: cost 321 inf + 126944 15.941 * * [simplify]: Extracting #4: cost 30 inf + 192406 16.004 * * [simplify]: Extracting #5: cost 0 inf + 200603 16.063 * [simplify]: Simplified to: (log (/ PI a)) (log (/ PI a)) (exp (/ PI a)) (* (/ PI a) (* (/ PI a) (/ PI a))) (* (cbrt (/ PI a)) (cbrt (/ PI a))) (cbrt (/ PI a)) (* (/ PI a) (* (/ PI a) (/ PI a))) (sqrt (/ PI a)) (sqrt (/ PI a)) (- PI) (- a) (* (/ (cbrt PI) (cbrt a)) (/ (cbrt PI) (cbrt a))) (/ (cbrt PI) (cbrt a)) (* (/ (cbrt PI) (sqrt a)) (cbrt PI)) (/ (cbrt PI) (sqrt a)) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) a) (/ (sqrt PI) (* (cbrt a) (cbrt a))) (/ (sqrt PI) (cbrt a)) (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt a)) (sqrt PI) (/ (sqrt PI) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ PI (cbrt a)) (/ 1 (sqrt a)) (/ PI (sqrt a)) 1 (/ PI a) (/ 1 a) (/ a PI) (/ (/ PI (cbrt a)) (cbrt a)) (/ PI (sqrt a)) PI (/ a (cbrt PI)) (/ a (sqrt PI)) (/ a PI) (real->posit16 (/ PI a)) (log (/ (/ PI b) a)) (log (/ (/ PI b) a)) (log (/ (/ PI b) a)) (exp (/ (/ PI b) a)) (* (/ (/ PI b) a) (* (/ (/ PI b) a) (/ (/ PI b) a))) (* (/ (/ PI b) a) (* (/ (/ PI b) a) (/ (/ PI b) a))) (* (cbrt (/ (/ PI b) a)) (cbrt (/ (/ PI b) a))) (cbrt (/ (/ PI b) a)) (* (/ (/ PI b) a) (* (/ (/ PI b) a) (/ (/ PI b) a))) (sqrt (/ (/ PI b) a)) (sqrt (/ (/ PI b) a)) (- (/ PI a)) (- b) (* (/ (cbrt (/ PI a)) (cbrt b)) (/ (cbrt (/ PI a)) (cbrt b))) (/ (cbrt (/ PI a)) (cbrt b)) (* (/ (cbrt (/ PI a)) (sqrt b)) (cbrt (/ PI a))) (/ (cbrt (/ PI a)) (sqrt b)) (* (cbrt (/ PI a)) (cbrt (/ PI a))) (/ (cbrt (/ PI a)) b) (/ (/ (sqrt (/ PI a)) (cbrt b)) (cbrt b)) (/ (sqrt (/ PI a)) (cbrt b)) (/ (sqrt (/ PI a)) (sqrt b)) (/ (sqrt (/ PI a)) (sqrt b)) (sqrt (/ PI a)) (/ (sqrt (/ PI a)) b) (* (/ (/ (cbrt PI) (cbrt a)) (cbrt b)) (/ (/ (cbrt PI) (cbrt a)) (cbrt b))) (/ (/ (cbrt PI) (cbrt a)) (cbrt b)) (/ (* (/ (cbrt PI) (cbrt a)) (/ (cbrt PI) (cbrt a))) (sqrt b)) (/ (/ (cbrt PI) (cbrt a)) (sqrt b)) (* (/ (cbrt PI) (cbrt a)) (/ (cbrt PI) (cbrt a))) (/ (cbrt PI) (* (cbrt a) b)) (/ (* (/ (cbrt PI) (cbrt b)) (/ (cbrt PI) (cbrt b))) (sqrt a)) (/ (cbrt PI) (* (cbrt b) (sqrt a))) (/ (* (/ (cbrt PI) (sqrt a)) (cbrt PI)) (sqrt b)) (/ (/ (cbrt PI) (sqrt a)) (sqrt b)) (* (/ (cbrt PI) (sqrt a)) (cbrt PI)) (/ (/ (cbrt PI) (sqrt a)) b) (* (/ (cbrt PI) (cbrt b)) (/ (cbrt PI) (cbrt b))) (/ (/ (cbrt PI) a) (cbrt b)) (/ (* (cbrt PI) (cbrt PI)) (sqrt b)) (/ (cbrt PI) (* (sqrt b) a)) (* (cbrt PI) (cbrt PI)) (/ (/ (cbrt PI) b) a) (/ (sqrt PI) (* (* (cbrt b) (cbrt a)) (* (cbrt b) (cbrt a)))) (/ (/ (sqrt PI) (cbrt a)) (cbrt b)) (/ (/ (sqrt PI) (sqrt b)) (* (cbrt a) (cbrt a))) (/ (/ (sqrt PI) (cbrt a)) (sqrt b)) (/ (sqrt PI) (* (cbrt a) (cbrt a))) (/ (/ (sqrt PI) (cbrt a)) b) (/ (/ (/ (sqrt PI) (sqrt a)) (cbrt b)) (cbrt b)) (/ (/ (sqrt PI) (sqrt a)) (cbrt b)) (/ (/ (sqrt PI) (sqrt a)) (sqrt b)) (/ (/ (sqrt PI) (sqrt a)) (sqrt b)) (/ (sqrt PI) (sqrt a)) (/ (/ (sqrt PI) (sqrt a)) b) (/ (sqrt PI) (* (cbrt b) (cbrt b))) (/ (sqrt PI) (* (cbrt b) a)) (/ (sqrt PI) (sqrt b)) (/ (/ (sqrt PI) a) (sqrt b)) (sqrt PI) (/ (/ (sqrt PI) a) b) (/ 1 (* (* (cbrt b) (cbrt a)) (* (cbrt b) (cbrt a)))) (/ (/ PI (cbrt a)) (cbrt b)) (/ 1 (* (sqrt b) (* (cbrt a) (cbrt a)))) (/ (/ PI (cbrt a)) (sqrt b)) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (/ PI (cbrt a)) b) (/ 1 (* (sqrt a) (* (cbrt b) (cbrt b)))) (/ PI (* (cbrt b) (sqrt a))) (/ 1 (* (sqrt a) (sqrt b))) (/ (/ PI (sqrt a)) (sqrt b)) (/ 1 (sqrt a)) (/ (/ PI b) (sqrt a)) (/ 1 (* (cbrt b) (cbrt b))) (/ (/ PI a) (cbrt b)) (/ 1 (sqrt b)) (/ (/ PI a) (sqrt b)) 1 (/ (/ PI b) a) (/ 1 (* (cbrt b) (cbrt b))) (/ (/ PI a) (cbrt b)) (/ 1 (sqrt b)) (/ (/ PI a) (sqrt b)) 1 (/ (/ PI b) a) (/ (/ PI (cbrt b)) (cbrt b)) (/ (/ 1 a) (cbrt b)) (/ PI (sqrt b)) (/ 1 (* (sqrt b) a)) PI (/ (/ 1 a) b) (/ 1 b) (* a (/ b PI)) (/ (/ (/ PI a) (cbrt b)) (cbrt b)) (/ (/ PI a) (sqrt b)) (/ PI a) (/ b (cbrt (/ PI a))) (/ b (sqrt (/ PI a))) (/ b (/ (cbrt PI) (cbrt a))) (/ (* b (sqrt a)) (cbrt PI)) (/ b (/ (cbrt PI) a)) (/ (* (cbrt a) b) (sqrt PI)) (/ b (/ (sqrt PI) (sqrt a))) (/ b (/ (sqrt PI) a)) (/ (* (cbrt a) b) PI) (* (sqrt a) (/ b PI)) (* a (/ b PI)) (* a (/ b PI)) (* a b) (* a b) (real->posit16 (/ (/ PI b) a)) (log (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (log (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (log (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (log (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (log (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (exp (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (* (/ 1/8 (* (+ a b) (+ a b))) (/ (* (/ (/ PI b) a) (* (/ (/ PI b) a) (/ (/ PI b) a))) (+ a b))) (* (/ 1/8 (* (+ a b) (+ a b))) (/ (* (/ (/ PI b) a) (* (/ (/ PI b) a) (/ (/ PI b) a))) (+ a b))) (* (/ 1/8 (* (+ a b) (+ a b))) (/ (* (/ (/ PI b) a) (* (/ (/ PI b) a) (/ (/ PI b) a))) (+ a b))) (* (/ (* 1/2 (/ (/ PI b) a)) (+ a b)) (* (/ (* 1/2 (/ (/ PI b) a)) (+ a b)) (/ (* 1/2 (/ (/ PI b) a)) (+ a b)))) (* (cbrt (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (cbrt (/ (* 1/2 (/ (/ PI b) a)) (+ a b)))) (cbrt (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (* (/ (* 1/2 (/ (/ PI b) a)) (+ a b)) (* (/ (* 1/2 (/ (/ PI b) a)) (+ a b)) (/ (* 1/2 (/ (/ PI b) a)) (+ a b)))) (sqrt (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (sqrt (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (* -1/2 (/ (/ PI b) a)) (- (- a) b) (/ PI (* (* (cbrt (+ a b)) (* (cbrt (+ a b)) b)) a)) (/ 1/2 (cbrt (+ a b))) (/ (/ (/ PI b) a) (sqrt (+ a b))) (/ 1/2 (sqrt (+ a b))) (/ (/ PI b) a) (/ 1/2 (+ a b)) (/ (/ PI b) a) (/ 1/2 (+ a b)) (/ 1 (+ a b)) (/ (* (/ (+ a b) PI) (* a b)) 1/2) (/ (/ (/ PI b) a) (/ (cbrt (+ a b)) (/ 1/2 (cbrt (+ a b))))) (* (/ (/ (/ PI b) a) (sqrt (+ a b))) 1/2) (* 1/2 (/ (/ PI b) a)) (* 1/2 (/ (/ PI b) a)) (/ (+ a b) 1/2) (/ (* 1/2 (/ (/ PI b) a)) (+ (* (* b b) b) (* a (* a a)))) (/ (* 1/2 (/ (/ PI b) a)) (* (+ a b) (- a b))) (* (+ a b) b) (real->posit16 (/ (* 1/2 (/ (/ PI b) a)) (+ a b))) (* 1/2 (/ (/ PI b) a)) (log (* 1/2 (/ (/ PI b) a))) (log (* 1/2 (/ (/ PI b) a))) (log (* 1/2 (/ (/ PI b) a))) (log (* 1/2 (/ (/ PI b) a))) (sqrt (exp (/ (/ PI b) a))) (* (* 1/8 (/ (/ PI b) a)) (* (/ (/ PI b) a) (/ (/ PI b) a))) (* (* 1/8 (/ (/ PI b) a)) (* (/ (/ PI b) a) (/ (/ PI b) a))) (* (* 1/8 (/ (/ PI b) a)) (* (/ (/ PI b) a) (/ (/ PI b) a))) (* (cbrt (* 1/2 (/ (/ PI b) a))) (cbrt (* 1/2 (/ (/ PI b) a)))) (cbrt (* 1/2 (/ (/ PI b) a))) (* (* 1/2 (/ (/ PI b) a)) (* (* 1/2 (/ (/ PI b) a)) (* 1/2 (/ (/ PI b) a)))) (sqrt (* 1/2 (/ (/ PI b) a))) (sqrt (* 1/2 (/ (/ PI b) a))) (* (sqrt 1/2) (sqrt (/ (/ PI b) a))) (* (sqrt 1/2) (sqrt (/ (/ PI b) a))) (* (/ (sqrt (/ PI a)) (sqrt b)) (sqrt 1/2)) (* (/ (sqrt (/ PI a)) (sqrt b)) (sqrt 1/2)) (* (sqrt 1/2) (/ (/ (sqrt PI) (sqrt a)) (sqrt b))) (* (sqrt 1/2) (/ (/ (sqrt PI) (sqrt a)) (sqrt b))) (/ (* PI (* (cbrt 1/2) (cbrt 1/2))) (* a b)) (/ (/ PI a) (/ b (sqrt 1/2))) (/ (/ PI b) a) (* (cbrt (/ (/ PI b) a)) 1/2) (* (sqrt (/ (/ PI b) a)) 1/2) (* (/ (cbrt (/ PI a)) (cbrt b)) 1/2) (* 1/2 (/ (cbrt (/ PI a)) (sqrt b))) (/ (cbrt (/ PI a)) (/ b 1/2)) (/ (* (sqrt (/ PI a)) 1/2) (cbrt b)) (* (/ (sqrt (/ PI a)) (sqrt b)) 1/2) (/ (sqrt (/ PI a)) (/ b 1/2)) (/ (/ (cbrt PI) (cbrt a)) (/ (cbrt b) 1/2)) (/ (/ (cbrt PI) (cbrt a)) (/ (sqrt b) 1/2)) (/ (* (cbrt PI) 1/2) (* (cbrt a) b)) (/ (* (/ (cbrt PI) (sqrt a)) 1/2) (cbrt b)) (/ (* (/ (cbrt PI) (sqrt a)) 1/2) (sqrt b)) (/ (* (/ (cbrt PI) (sqrt a)) 1/2) b) (/ (* 1/2 (cbrt PI)) (* (cbrt b) a)) (/ (* (cbrt PI) 1/2) (* (sqrt b) a)) (* (/ (/ (cbrt PI) b) a) 1/2) (/ (* (/ (sqrt PI) (cbrt a)) 1/2) (cbrt b)) (/ (* (/ (sqrt PI) (cbrt a)) 1/2) (sqrt b)) (* 1/2 (/ (/ (sqrt PI) (cbrt a)) b)) (/ (* 1/2 (sqrt PI)) (* (cbrt b) (sqrt a))) (/ (/ (sqrt PI) (sqrt a)) (/ (sqrt b) 1/2)) (/ (* (/ (sqrt PI) (sqrt a)) 1/2) b) (/ (* 1/2 (sqrt PI)) (* (cbrt b) a)) (/ (* (sqrt PI) 1/2) (* (sqrt b) a)) (* (/ (/ (sqrt PI) a) b) 1/2) (/ (* (/ PI (cbrt a)) 1/2) (cbrt b)) (/ (/ PI (cbrt a)) (/ (sqrt b) 1/2)) (/ (* PI 1/2) (* (cbrt a) b)) (/ (/ PI (sqrt a)) (/ (cbrt b) 1/2)) (/ (* PI 1/2) (* (sqrt a) (sqrt b))) (/ (* PI 1/2) (* b (sqrt a))) (/ (/ PI (/ a 1/2)) (cbrt b)) (* (/ (/ PI a) (sqrt b)) 1/2) (* 1/2 (/ (/ PI b) a)) (/ (/ PI (/ a 1/2)) (cbrt b)) (* (/ (/ PI a) (sqrt b)) 1/2) (* 1/2 (/ (/ PI b) a)) (/ 1/2 (* (cbrt b) a)) (/ 1/2 (* (sqrt b) a)) (/ (/ 1/2 a) b) (* 1/2 (/ (/ PI b) a)) (/ 1/2 b) (/ PI (/ a 1/2)) (real->posit16 (* 1/2 (/ (/ PI b) a))) (/ PI a) (/ PI a) (/ PI a) (/ (/ PI b) a) (/ (/ PI b) a) (/ (/ PI b) a) 0 0 0 (* 1/2 (/ (/ PI b) a)) (* 1/2 (/ (/ PI b) a)) (* 1/2 (/ (/ PI b) a)) 16.085 * * * [progress]: adding candidates to table 17.998 * [progress]: [Phase 3 of 3] Extracting. 17.998 * * [regime]: Finding splitpoints for: (# # # # # #) 18.000 * * * [regime-changes]: Trying 2 branch expressions: (a b) 18.000 * * * * [regimes]: Trying to branch on a from (# # # # # #) 18.050 * * * * [regimes]: Trying to branch on b from (# # # # # #) 18.100 * * * [regime]: Found split indices: #